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{'Nk2': 36300, 'analytic_conductor': 72.46423983431195, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [7, [-1, 1]], [13, [-1, 1]], [17, [-6, 1]], [19, [-7, 1]], [23, [-6, 1]], [37, [-2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934638963, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9075.2.a.l', 'level': 9075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{4}+q^{7}+q^{9}-2q^{12}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/9075/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9075.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 1690786802527554243, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 52, 10], [[[3, 1], [5, -1], [11, -1]], 45, 12], [[[3, 1], [5, -1], [11, 1]], 46, 14], [[[3, -1], [5, 1], [11, -1]], 35, 17], [[[3, 1], [5, 1], [11, 1]], 36, 12], [[[3, -1], [5, -1], [11, 1]], 38, 10], [[[3, -1], [5, 1], [11, 1]], 48, 16], [[[3, 1], [5, 1], [11, -1]], 45, 14]], 'ALdims': [36, 45, 46, 45, 48, 35, 38, 52], 'Nk2': 36300, 'analytic_conductor': 72.46423983431195, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1249, 'dim': 345, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17, 19, 23, 37], 'hecke_orbit_code': 33563507, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 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mf_twists_cc • Show schema
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id: 47336102
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934638963, 'target_is_minimal': False, 'target_label': '9075.2.a.l.1.1', 'target_level': 9075, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47336103
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052527475, 'target_is_minimal': False, 'target_label': '9075.2.a.i.1.1', 'target_level': 9075, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47336104
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296249, 'target_is_minimal': True, 'target_label': '825.2.a.c.1.1', 'target_level': 825, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 47336105
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038891, 'target_is_minimal': False, 'target_label': '2475.2.a.e.1.1', 'target_level': 2475, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47336106
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099879225, 'target_is_minimal': False, 'target_label': '825.2.c.b.199.1', 'target_level': 825, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47336107
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879225, 'target_is_minimal': False, 'target_label': '825.2.c.b.199.2', 'target_level': 825, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '55.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47336108
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925753, 'target_is_minimal': True, 'target_label': '825.2.a.b.1.1', 'target_level': 825, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 47336109
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334864103851, 'target_is_minimal': False, 'target_label': '2475.2.c.h.199.1', 'target_level': 2475, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '165.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47336110
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334864103851, 'target_is_minimal': False, 'target_label': '2475.2.c.h.199.2', 'target_level': 2475, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '165.98', 'twisting_conrey_index': 98, 'weight': 2}
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id: 47336111
{'conductor': 165, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638963, 'source_is_minimal': False, 'source_label': '9075.2.a.l.1.1', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170409387, 'target_is_minimal': False, 'target_label': '2475.2.a.f.1.1', 'target_level': 2475, 'twist_class_label': '825.2.a.b.1.1', 'twist_class_level': 825, 'twisting_char_label': '165.164', 'twisting_conrey_index': 164, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4927250
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 2}
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id: 4927251
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 3}
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id: 4927252
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 5}
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id: 4927253
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 7}
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id: 4927254
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 11}
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id: 4927255
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 13}
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id: 4927256
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 17}
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id: 4927257
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 19}
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id: 4927258
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 23}
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id: 4927259
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 29}
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id: 4927260
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 31}
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id: 4927261
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 37}
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id: 4927262
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 41}
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id: 4927263
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 43}
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id: 4927264
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 47}
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id: 4927265
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 53}
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id: 4927266
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 59}
-
id: 4927267
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 61}
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id: 4927268
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 67}
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id: 4927269
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 71}
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id: 4927270
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 73}
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id: 4927271
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 79}
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id: 4927272
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 83}
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id: 4927273
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 89}
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id: 4927274
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 49539595934638963, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '9075.2.a.l', 'level': 9075, 'portrait': 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OFrgbCGhWnD/FTKajegOxSMEo+1gWDblGGlYzh5XlHzfLbNwq6FiK1zI7bMhWybC9m11bJnm+Kq3R511eTYyTZfe9rn0ecSnjwRk6oe3/GyDm9+iaWu5njuxDTHzmrOXEhZzMB9eNly8zVL/OLb19g9P8XZC9OcX6ux0vFY7UjWeindfkp/BIdOrHDq3PpVzx5bfvmzJ1cvOnBq7bMvee3boq985kPfbEh8Q7e/1Qx+ZqnL1npKPxG/9uiTR17yi//pE/KO64++5Ge+84xe687R6TdZ7dZY6fisrGtWOoLVTspqJ2ZlPWVxHY6sCBbm1/nlH1rhRZc3OHV+lrMXmpxd1pxfsSwuJ5xeSrnQS5ieHfHS6/q8+ErwZZ1ABZxfrXFuWbO4KhiEkCSGmm9o1lJmphIMcGIxoduHvVs9mvUQawUIn/7QsGdbyMq6BuukyHofwgQsltVOxM4tHr2hQiiLMCHtmsee7SPWB4ITZzWp0cy1Ja2aIPAgSQSDULK4Kjm3Yjm/lhAEI/ASbr26z0uuESy066ystTl1PuDsMpxfTji/mnBmFY6sWF549TK/8kNrbJtuc3JxlsWVOktrPssdyep6ylo3ZrWbstozrPYF5/uCpfUhv/mPouSNt859tbHth01z6vKv9of657fOjxBq9psNlee9/a1l8P/8nj/n1S+/kR/5qX/2qx/82N3/54c++vlLDx5fu+jZ0wP5suvW2bcjJTUaa2Vxx0pAAgIhLFpYfAlnV+o8eFhy3b5Vrtw9olEDT0t8T+H7mmZd0vAkg77HweM1Pv+oz4kLId0k5uCpkK1zq7zxpWtcd2mPF17Z4fhywvJA0AhGHD1r6XSbXHuJZH2Usv+4otXQPHMCLtthGUUpo9RH65iZFhw4FaB0iicTtAfDUPKiKwcMB5LrLk3pDlNOnG1x8TZFsxGxHlq2TA9Y63f58N3w+LGUJ4+N2Ltjheuv6DIzG/GGW3u85RWWfdtapPE0x85MceS0x6lFw+kLMacvpBy5IDi5HvOCy5f45R/qsXV6mlOLs5xfabC07rPSkax1Ujq9mPV+ynrfst4XXBgolropL7x8mZ/4jmWphbjo7JlTF0t6t2zfuaOuvIUvHHj8o/yn3/vbyeh/Kxn8w3/2MV7zkr3qjz/x7L969vD5X3jsmeMqHEX0YsXJHly5+wK/9ZPnuWFfg/MrM6x0Gqx2aqx2PFa7mrUerHVS1roJq72E5Q6cWhPo+ojbrlnle18RcfGWJuv9NhdW6yyt+ix3BKsdJxHWeobu0NANLYNRwlw7Zs9WAwgCz3L6goeQAXu3KC7eYdmxZcD5tZAnDrW46TJLo77G04dnaTUjoshjbsYwHMFVe0Z84O5prtidEIaW+SlJnA5p1QKeOT6i7jW54fKEJ49GnF/x2TkXcPF22LMtQqmY08vgexYhLHu3Jsy0JL1hQH/g0R14rHYVq+uw0jGsdlKWOymLHVgZpezZ2ed7b1/mtis1Na/NueU2y2s1ltc1q13BWsew3otZ6zlwr/Rhsac4v57woivP8+vvWGHfjjZLq1P0Bh5K+3iNS1PUrl99+sx1v7J37mh6+6v+3jcbOhtuf6sA/tzB56jVavUzZ07vefKpZ992+OiZf/vk/pOEiWIUQy90jHKmm3DTJef59z+5wvWX1LmwNsPKeoO1bo3VrsdaV7PWhU7PsN5LWOslrHYt5zuCs30Los+bX9bhDS8yXLK9RhQ1WOvUWO/7dHqKtb6gNxCMQkuUWNIUlLQEHtQDy3TbsmU2RnsjjpyLeOpwgEmavO6WCO2t88j+KS7aDp9+MOFl1wZc6AypaUWSxszOQBJ7aC9hZaXBS2/s8un7W1y8HR4+FOLR4LUvMiRiyFNHUo6drqGlz9YZzUxTUA8Evi9QAhIDUWwZRdAbWNb7ht7AsD4wrPQtwzRl764Bb3hxhze/JALTYmV9igurdae3u5q1Dqz3Ujr9hPUM3KsDONfNmfs87/zJC1y9p8HS2jTrvQb9occo1Kz3BHi78erb/+XuPVf82a6du06OwtHw0ssu/2ZDqbj9rQH40SOHmV9Y8I8cPvwjhw8fetejjz0hlld7sjc09IeGQWjpjwSdEZwfKM71Yl506QXe+eMr3HhpjeX1aVbWm6x1A9Z7Pms9dwI6PUunn7LeS+j0DWt9y4We4FzHMDM94Nte2OPWKxP2blW06x7dXo3Ak4AiSiTGCIyFwQgQhpnWiENnLMZG3PVwk3BQ59KdPrddNyA269z76DQ3XOZxaLFPZ63Ni68b8IVHArbOWvafsPz0m7rsPx6wdVby+UcVt12lWB10OXpqlhsuj7j3qSFJ2ODWq3327R4xTPp87hEFqeDIaU27odECBkOJsYLUWOIEkAbtGzp9S7MVs3t7yEuuGvBtNyXMNWucX51iZb3OWtcdm7WuoNOHTi+h00/o9FM6A8vqQLLYEyz3Em65Yolf/fElrr+4VoC7O/DpDT0GQ013oFjvCWJTM5defp295JJ9P7Vv36V/tLy8FF32twTkfysAnsSJjKLhGx954FOXrnXS33jo4Ue8KIJRbBkMEwYjw2Bk6IeW3lDQGQouDCVnOwm3XnWBX/vxJW7a57PenWJprUWnX2O957Pe13R6is4Aen1Ld5A4d2Bo6AwsS33BUh/iNOT6y4Zsm03pDyyvf3HIRdsMSSrR0hLFcM8TNU5eqLF9JuHpIzUwDa7cpbjxCkNQG/DIoQFLy02uuahJe3qN+5/0uPmyGiuDddbW2mzbZnlwv+IHX9nnof2aXVs8lvsd1lZnufGqAfc/nTJbn+aaS/tc6HR48Nlp6rrJC6+wXL5nBLLPE8cEW2Zjzi/F3PuExyhWSAmpsVy0PeLbXhzR6yt2zBhuvAyiqMFqp8FqJ2C979EdKDp9SbcP3YFzSnqDlO7AsD6wrA4lZ7qCzjDktsuX+JUfW+OFl7mLo9Or0x0E9AYevaGmP1T0h5LeUNAbpAzDhBtvvDmOEvnP3/aW7zzcatY/qT3PfLOx9U3PZFrbxZjuD62ce+i3OssHZ0+d6TDVlAy1QIwsLhOfuEtROAtQCIuUFik1Dz23lZ9/j+ZNt63yfa9c5eKdEYsrbQK/Tj3waQQezbqmV5e0hh5TTc1glNIfpmwNDcPQ0hsFrC7VOH3KEiWGM4sJQWABga8sWgoGQ4XAIxloXnCRYN8Oy56dA8K0x2ceUhw4PMNrbgq48ao13v8Ziy8aXLRzwJP3K3ZOK+bbA2qqThR7XOhBs6bZtVXw+IGIGy+v84oblnnfnUN8r8Wrb7F4wYAvPhjx6QeaPHusziU7Gly0PWVhJuLi+ZhrL0pRyqCVBSyNIGBhOiCKPXoDn6cPufKEwVDRH0n6Q+iPLP2B++69YUp/aOkOLetDWBoozq9ZGlMdfuZ1S/y920Kuv6TJueU2nX6NXgFuxWDkwN0fCYahI4Awgi/d+6Dn12d/qzn90OpLbn3xPz15bvS+Pdtr/+sC/ORij1PnxY+dOPLFX6sNvzhr45SpRh2BwtVACEDhnqZIAVK4TholLUqm+FLy5KEFHnuuyaGzF3jTS/q85OoR0602q50GzW6N9tCnP9D0spM9HGkGoWYUWkaRIYotcWxJUnePEh9rQCqBpwU1XzDdEsy0YNu8YdfWAfMzHT77CHz5MQ9ppnjNTR4vuLLHfc/GRKM2t71A0BkOubDS5NbLDfPTA+o6YJQolroxyghecLmm0Qp59GCNl984xYuv7/HoQQV2ipuu9vnR71jlC49HfP6hJvtP1tizoNg2W2em1WCqBfUAPG1REoyF/ccEaSqIE0GUQBjjvmOYMgwNo9CthIPQ0B9CN4SlvuRCD0Iz4lU3rPLGl3T4gVcbkqTN4nKTbr9Gb+jTH3oZaysGI1GAezAyjEYJw9DQG6QsnTnHgdOfmd22pfv/e/UrXqmtXXuPEDP/6wG811tHKfGj+5/+6q8tnfjilm1TXYKgRT1JMSZXTrnl5wCvJBm4QSmLVhZPGeqeYHlQ50N37+KLj3V52bXrvP1V61x7cZ+56QYr6w16w4DB0MuA7dL5o0gQxpI4ESSJW+rdiuGCSq2h5kOjbphtxezcMiChz6EzMR++t8bRU02mgzo3X6259bouDz7X4a6vtbnlshp7tg/4wN0CJQLarZj1foixoAQstAd0ez4mqfPGl13gQ59usO98jTfcMiCKV7j3qTnitMaLrt7CG27uctnuDl98dMCTpxo8ccxn16xkti1oBALfcxehFCCExVgwxhIn2cUaW8LYXcijCIYR9EaCtVCw2gOhR9xwxTpv/7Z1XnZ1yly7zlq3QadXpzcI6I88+sNyJRiEkuEIBvmFM3IXzzA0hDEgNSurHd7/p3dvGfZrv/bKl7/Mrq6u/eHs7DcH5P+vA7xz8nc4fuFSzp/47A8PBqPfWD397PxsfYS1PloZAt+QmpQMZwghkEIghURJjZQpSolseTZ4yhJoS10L1kaKlc4MH7mnyQNP97nt+nXe/up1btjXYS6tkyQBg1GN/tBjGGqiWBEnkiSVpEZgrHBZUGEJfEOjlhD4Eb4XcmYl5M6HJYdP+xw7PYMyAfu2+1x1seKmK7uoYImnjrTYOd3gmktg28Iaq9021+6UJMby2YcCwoFkupnw2heN+OS9MScXW1xxqce59RHPHPXYvXWG6y9e4r4ne9z/jCCMfK68eJYrdwdcuavHkXOrHD4DDx1ocOhok4YWBFrSDCw1D6R0a5617mJNUogSiFJBPxR0R4JuDJFJMHbECy/r8vZv6/Kya1O2zwaMRlOsdGr0+gH9kc9gqOmPnCQZhoLhSDIMXd/oKEwdwCO3MoxCdyElBgKteObgiP/64S9teebg+d+o15vJhz748fd/+ske7/13b/+7C/D/6zfeR3v3x5ju2x+wo9O/Ha2dn27VHIBtdmKMDxYQAgc2KZFSZqBWKCXQyqBViqcFvjb4niXwLA0/Zbom6IUea90ZPvrlNnc/MWLrzIC33d7hyt0jRsM+11xs2b1NEcYeaVqm+d3vM3g65cR5y7FFwfrQ8In7GpxZnsFGHjM1xY45zd5tmkt2wjX7uhi5zB98ssnq6hS3XKm5Zl+HLz4hEInHlhlJs5EwiH1kloxS2qczEpxfFVxtG9x+U4+vPlpnx7zPLdfM8r9/xzJ/9OkeDx1s0h95rKy3uHhHnSu2D3jR5T2+++U9zq6u8on7AlYGASfOeZw54+MpgZQSgcBYS2ogNpY0MczMxVx39YAwjLlyd8hbbw/ZMqWYbQXEcY1zSzUGQ59B6Fa5YQFs6cAdCkYhbiUIUwfqKGUUWUaRJYycXRklgjgFaxX7j63z9NEH5rfv3vXb11+7I37vv7vsg+eO/Ee27/snf/cA/iv//k/5+e94hfjRX+B7ZoNn3v3dL3q0ceWeOt1hjTjRJIlCSeuAnWltIZxLICWoDORaSbQSaC3wdIqvBb5nqHmWemxpRJapWspMXTCIJL2oybHTTd75wVkwCSJJuOm6ARdvi0gSMNZgrUviSCGQSqA9n4MnffYfrtGsaVq+ZL4hWJiTbJnV7FhQ7N2ecsXedVKxwu98rM2Jk9PccrnHlRelDJMeX3sqYLruMTdlmW5FNOpOChkj6YwUq33LSiel06/z0mvWeXj/gAMnFdPtGi+6epoff+MKv/txePRwk/7Qst7TnF9ts22+wZaZEXvnRvzf3zOg3ejw5DE4eErieRalLEIYwLr/LCQJXLQt5bZrE9LYI04CrG0wijwWl32GoVvRRpEq5NswEoxCwShyrO0AnBKGhjAyjGKTvZfdYxjFwj2mgigRDFJBd2CQzaenX33tuXf/ysmV5Ni5/+MjJ/fP2j1X/fDfHYD/zu9/kEv3TKtf/6vPvXnl3Pn3v+++5dpTBxq88x3rXLprRH9YZxT6eNpDKYOU7kS5QNKilMr0tsTTTnP6niL0JGFkCKKUMLbUY0MYG6LI0k4gjA1h4lhlFEvCNCBOaxw43OSJA5Bai4O208aeBF+5mo9WANdsh3YdppqSmZZiblqzZRb2bAvZvrBObFf5nY9NceToFDdeorhkl2TfrjW+9EzC+ZUpbrpYMtM21PwhgQywSpCkEmEtSRqx1q9xfsXjxivrvODyHvc9WmPrjKBRa3Hj5YafefMKv/1xwzNnWqz3Des9xdKaZn66yUy7zkx7inYjZqEZs/fGiMBL8HSCUilSOJFncRdVHCsuLGniRBEniihWhHH2GEnCWBJGklEkCSPhAtRIEEaWMHLHNYxSoijT9LF7fxSVwB7GgkEs6CWCXgzhKOL6vWv82x89z0svXWycP99+vxLvM+fWL/nYEw9+OH3BLd/7rQ/wD37wz5hq19SpM0tvXVw8974jh4/X5tpNPvuIwHtvyr/5sXWu2BXjezUGoxpKpSjp9LWSGiUtnrJ4WuFpixdJfE+4k+AJQl8RxQ7ocWyJktS5IknlnkKSWtLUkBqc3jYU4BYClAQtwfMg0IJaIGgEkmZDMdWQzEwJtswm7N02oNVc52Nfjbj3qVnWl9tct0exd7vHZbtHpGKdzz7UoOlpFmYUrcaIp47As0c11+62DELF9ZfFXLfPsnguZWnNZzhq8Lqbe3zlySGHziiadUngt7n2EsOv/PAK9zwz5JP3zLPStezdkrLW0Uy3FVNNj1bDo1m31AIXvwQ6RSsntWTWWmktLmFlBImRJKkgSQRxIp2kiCVh7JyXKBZEsSWKIIxTotgQVYgjjKt3B+5hBu5uLOkmMAhTSIbcsHuNf/2jK3zbDYoLqzNcWDpVi2j/sdG1/60jZv/8C5/7WPrq1775WxvgV19sZX/Q/b5HF8/93qHDx2uNQNFKLP16nU8+sI04krzl9i7f88oes+2E3qCGkilap2jt4ekUT2u8WBNoxcjL2MaTRL4gioU7ObEiTiCKpXMQktL2S1JDmjp3IbWZU5JFsUKITAI52eNrQeBLaoGkWRe0G5bplmHrbMjCTI/ErvORr0j+6NNzbKnVuG6PYM92j4t2GPZuX+NjX7Osrta4cptipg2tRsz545ILawH+xRDGgoUpyfQ0HDpmWesaFpdrXHZRjVfe1OPOL9eYa0Hg+yg5zbX7BO94wwU8eYG/um+GZ8/U2NqN2TKdMNVUtOqKRl1SDzSBD4EHWjuHydmqFZDjLuzUQJoKkpQM6BCnliiBOE4dKcSGKH+MjfO6k9yVySzIRDCMBf3EgbsXG6JRTDvo8b2vXeZ7XtHnlS9QrHVbDEMPYz2Wl07UQuG/e3UkdGL0n+J45lsT4L/6rvfzqccGP7yzefDff/WJ9fYolhgLgbK0fUliG3z24a187ekai2vL/PR395lpx9QCl3H0VIKnPTzt4UcpkafxY0UYSyLPpdId4zjNF2eslCQQp5CmzkkwxgVcxti8hzMDtwO40/YCTzuA1AJo1AytesJ0K2Fhesj8zDpfPRDxx3fVOXhsmoumPPZtg13bfHZthSv2dBkkXR7c36auPBZmFNMtmG6FzEwl+L5GCHdxDUOf1W7M+sDS6SdcWPPZs63Fi6+8wF0PDTh4pk0jiPGUjxBT7Nup+PuvXuaFV1zgj+9q8eDT06z0NVvaCdONhEZNUq8pAk8QeBLPc7GKUmT2oUO5C+StW70yoCepyVa3zFpMDEnqwJ3EECW2vMfOlRkljlQGiaAXC3opDIcJJhkyV+/xU29Z4f/6vgH1IGCt02IYBiSJy2e0W5Z4/dn2ytr533nH9+70f+jM7/7RzM6f/tYD+NJyB6XUj/2r3/nwr33i84tzq0s12r5zSzxpaWlLagUdWaczUvz7P/PYf2SNN768z+039Ng6H9Lt1RmFAb6XEPgeYaQJYmfvRb4DeBxLosQtu3GSedopmfVHxtzuwirA7ZKUGXODVi5h4nuWmm+o1xJatYSZdsj2+S7nOwPe9QmPzz48y+pak0sXBHu2CHZu8dm1RXDxjhHaX+dD92qOnmpy+VbJTEsy1UyRMuTMkiXQEinAWkEUa/Zu6fIQKd2BYq1rOb9a5/JdNb779g5//kWf4+cDPB0jhIexTeJEctPFa+z9/i6ffXTABz47yyPHm+ycEcw3U5q1lJovCDyB77lYRStc4CxFUZNhcReZsTinJXWAz0GepE7SObBDlLpalyhPHiWCYQK9RNJPYBgZkkHErvkur7hxje96+YDXvdCgRYPVtQajKCCMnFslhaVRi5mfHjI1dWFOpFt/o7Xzx1US/f33aH/6WwfgK6vrBL7+3z/yiXt/7YlHn9uyuFinHTi9KwV4CurWYnEnoEdAN9J86EsB9zzZ48Yru3z/q1wV3Nx0wHAUMAx9As8jSjyiWBeBUpIo4lSSJJI4FSSJJE0FqRGl1jaZDZmBW2RLt1IumPWUwfcMgZ9SDxJa9ZD56T7DeMgXn7J8+EtTPPj0NDO+x7U7LdtnJVvnfHYsSHZtjbhk5xpPHh/yia8sMKU0C1OCdlPQbsR0Bimf/lqNlu8cImNhGGreeFvIpx5wNTGdvuHCmmbXlhZvekmfBw/02H/IpxkkKCkcyE2DUeS0/t9/ZYfLt1/gQ/d0uf/ZaU6u1dnWFkzVLA3fUNMG3wOtsuSYzJkc8vIjk0k1Y8oVLsmA7ggC4lQQpxmwU8EocazdT3ExTxTRrA/43tes8n2v7nLT5SlbZzwGoyadfkAY+YRxeb7yBF6SBuxeEJw7fWzLyHz517btvcOMhp331up/82Pl/kYB3u12WFnpoqX4oc99/iu/+alPf2HOjtbZPaOKxI2x5cEWAteUIAQ9pRl4TU53A84+0OCBp/r8+XU93vrKIa+9bcTstE8UBoSJRxR7xIkmzg5ckiqSNEvYpCXAjc2Y25Q1ZULYLKh0dRxaG3wvJfBj6kFEqz4kZcgXHpV88O5pnj42hYgDLpqxbJ+2zE8rFmZ9ts1LdizE7NnW5dRSj9//ZJMkrLNrl2C6pWk3od2IEV5Ed9hkumURQmAtxIlkNlAkJqEX+/QGKWtdxZmlOldf0uInvnOd3/jTgBNLTbSKswtDkyQ1RpFk21zATZd2ue6SPs+cOMOHv1TnrkemOdup0wwULR+ansXXFk+Bli6d73IL5c0A1rhzkhpBaiFJhfPPU0GUuiTRMBUMUxgmliRJMHHIXG3I6161ztte1eNl18ZM1T2iuMlaJyCMfaIM2Dm43Xly1ZlhBN2BTxKHnD1/z5bewP/NvftuSdZWzv5XqZtMTf3NAf1vFODD4ZC5ufZ3PfroY7977713t9Ooy1xbOz1c6GAnC5QoD7yS4KeGmhIMlM8g0VwIa/zVA03ufXrAiz7f5x+9pcdVe7psmVa0G5oo9okSjyQpQZ7mADcSYyXWkvVp5uDOUv3KumSRTgj8BE9FdIcxS92Y//ixGscuzPDo/mms8ZmrC7bMW+anBHNtxdy0x9Y5yba5hJ0LA+am1/jsY4ZHnp3mul2CmZak1ZC0G4ZmPUJ4IUGg0cr9fmshTSXDUDMcxSRG0Bsaen3LatdjcaXNrVf0efHV63zo8zXqqwot44wcNEnqE8Wux3N+usYL9/V54aV9HnrFWU4sSf74rmkurDc4vRLgK0nTE/i5DJMu8CyIPJcquPOSWEFiIDaCMIVRApGxkCaQxEgVsmNmyHV73fm4+aqUdl2TJE06PQfsONFEsUeSqAzg5QrrAC4z7e/k5GA05PjivXPX973fvebaG9bC0fATf5OY/BsD+Injh9myZav68Ic/fOmhQ4fbw0GXdtNz9lJiSRJRaOLEWGJpUalzLzxl8RNLkAoaSjDUgoEOGKYeK1Gdux6Z4qvPDmkGIf/b6zvsmku4aMeQW6/poYVrERPCyRWXlXS10tZWmBuLkBYlnGduSUAmPHNM8vABzZ0PtnjmZIsoadDSioW6ZbZpmWlY54O3NbNTmrlpwbbZhB0LQ7YvrHHv0yF/cOcWtk9rFtrQbiraTUGrkVAPQr76nGIUabymA5W1giiR1LTihsuHPPDUtCt8Gqasdz2W1wPOL8/wE284z+nlFR54fAFPAiLGAEkGoDCS9IeamVaN6XaTF18+4BXXDfj+O5Y4cMrwqQdrPHigznNHmyRCE4aKQaxQQiKEmAg8s5yANSTGYo3BEylTfkSNmBff2Ofi7SN2zce8/bUhdV/SrHtEUYNOzy8BnbjHwmtPlAN2Ih3Is9U1tynDRDCKFGudLo889NX2yvLipd/+xreqg88dSq+4/LK/PQB/+pln8IK2//DDD/+Item/X19fRXuagFwOWGJls0AGVOq0YaIsOrXoBDwp8I0lSCy1VNDQGYukHsPUY5DW6PVSfvNDM9gkZuvCiKv3jJibSnjrK4fs2RIRxyLT2xIqzE2eHZUGIQUfvafOk0eaCK05cbbBmfMNanXFVCCYblraNUO7Bq26YKqhaLcUMy3N3DTMTydsnRuxc0uX1K7z0a+0GfabXLbL0m4oWg1Jq25o1RI8L+KzD9QIBxJviysdyyVKs6543YuGfPkxQz+U9Icp3YFmvadZXGlw1cUt3vqyLo8+0+DEagslDRBnetkjTp2bNIok/ZGm0/dp1Rs06yFX7RpxyxUjTl3ocPzcOtpLeeKo5s+/1ECorFJzcv6gNYABa4mjlL1bE972yiHz7ZQr9lq2zkGaeIRRiyTxWOt6JLEiTssVNI6zxwzYcZoXsskx/z3JtH0cu4SSEIrl5RW27dj975984uHBxRdf/EdHDu2P9l121d8OgC+dP02/u3z58ROn33X/1x6SvqfQSmYHTWYVgIJE2gzUeTAjSKXTiXFq8VJIlCBILTXjfh4ZS5QKQiMJU0lkPGIDS/02X3rSYEn5ywfdyAasye55Fi+zyERekSiRSpHEGmk0npa0Arh4wdL0DI3A0AigEQiadUmr7uTQVEsy04a5qYSFmZAdCz1S1viPf1Hjvqe2sG8OZhoZezckrXpCox7RbAyp1xsESmZlCC7YNQbi2GM0FAzDlF6o6I8MvaFxLXNNn9Pnp3jp1SE/8z3n+a0/15xcDxDCYG2MSS1x4hHFklHoylhbQ02z5tOo12gEDWpBTKsecdNlEb4Xc/NlCW9/1QCtkiwJZBDCjovyTNIZIxFCEngK8BmFmpU17ep20jzmye6JLGOgpJQiTpaILDYSG++ZMxPnK7uxPP3kI1II+a61zuArURg+/TeBzf9hgH/84x8jjGX91KlDbz518oho1nUmDQxCSNecIECqTJKkgjR7rtPciwWdRe+5Vk9SQWJsGdkbpw/dXRAZSWIlqdHEJiDNbK/qrchSCtBCuEylglrdUtOWmkoJPAg01HxLPRDUfUmjLmnUtAN4UzDdMsy2E+amQ7bM9tmxZYU/uNPwgbu2sntaMd8ytJuKVkPRbECjntKqx5xbMRw5F1Dz3SoGeaWfYBRpLt5m2DY/ojvyGY5sxuKS9Z6mVa/Rakzz9ldd4Oi5Rd79iZ1oqbG4asvEWOJEE0aKYeSKogY1SWOkqQce9SCl03Mxhu+lLmHmpWiZZuUQaVbv4+6udMXV4DuQCzomq7I0Lq5JMw2dmDLecYAt5UeaZm5W9rN0Athp5s7kIM9zFsYKRpHg4UeeFNdcNXrzFZdfcuSzn/7L4eve8D/WyPw/DPDOQPirnQs/111Z+rnBIJSBL0lTEFIiU1d6KqVApYY0qzFJU2dh5YkYrZw2T/Pkg3GebP46v8KLNHtWKee8XFEESlXNDVQaJEBLg5ZkNS3gKYGnrfONtaAWSGq+pB4o6jVFqy5pNSxTzZTpVsJsO2R+ZsCerSs8+FzIh+7ZwUwtYGvL0G4IB+66pFkzNGsJrUbIgwfhiQMNLl2wme4t0+bDUHHzFZbL9gx56OlpBqFlOErpD3UGco9GrU69Ns33vnyVJ567wAP7t4FVGJO6ctjEksS2qCcZhprGyFKvKWq+IfA9Aj8l0AatUzydlUAo1zAipTs/CIsoC5QrwbkrITa5I2Vy+7Vixea62uQAzl9TgDs1OcDLDKoDOsXz1NisnCCS5xbP/6tdO2r+ji2NXwWibxrAB4OhHA6Hv/THH/jgP11fWfQD3/1zUoJIs+q87ECmMmduB/TUQJppcAde10DrvqyoZB9x7JyB3GSZuDxZYTM/vSK3JwBeJnSUzDKWikrRlsv+Bb6iFijqgaBRF7TqlnYjZaqZMN0KmZsasmNhjQcODvml923l5OlpLpk3TDegXVc064pmDZq1lHotxvdGdEYWJRWechd5fnMnXBInPu16zCAxDLI668EopTeQdOqKRi+gFrS4aFvMr/xIh3/9fsnX9m/FojDWkKaGJE2IEkMUK0aRYhhI6qGi5ksC3xL4ikAbPM/5/VpZB3DlzovKZIoQdrxBN0vt24xEbFbLkmaAT0356M6ZLEoACoAbkb3Ov3NuMmSPqS3BnboyCiycOHXW37618c9vetEPeqPR8F/WavX/7nT+fzfAw1EXa6NfPfDMff8kGZypNWoKIW22vDlApdLJCSMFicpYWQn3ZUx2T20GZrsB2KbwaMEa67rIsxLQ6p0JgIuKzy4zS1JJgVJutdBZK5qnJYHvBgDVAjeSoR5YmjVDq5HSbsRMtSJm20N2LKzzwIEB//qP5jl4cpa9s85hadUlzYZ07F23NGopjVpMnEb8yedbSKXwpEWJ0iY0Nl/CPf7+a9b43CMRvShgkAG8P1T0+opOoKn5AYHX5ordCf/2R1f4xT8S3P/0VoyVpMal1ePEFZqFkSGsuXLXIBDUPEHgu8ymr22RsdXKOMkosxVOVgBepjyBjERwuQTntmSBfA7gbOqAKZJrGciLlVeUq3PlsVilMyyY7J5nmx954kRN1+/9P177ba8Ua2vdn5+Zaf+/C/CVC0ew1rx46czD9ZnWyPnQ2ZcyaQZs5XR2ojLtLQWprYA6tRhFAXZTYWj3PHs0GYtYm7E2ebkzduJz5QDPazBUUU8uijpyB3CJ50lXv+ELaoGbedIIUpp1B+52M2K6PWRhusODBwb80ntneebEPLtmBHPNijSpaZo1V79SryXUgwjPCzmzMoOnBEqaosc0DzLTVJIkiu0zliSJ6ca1rFPGMByl9EaS+kBR8z18r4anp7hyV8K//d+X+Bd/CA88u4XUSAfw1BInacbkhjAw1CLJyFeFBPM88LSTaK5OxaIlmUwBkT1ugnEnV8iSQogiOWSy5FCeLU7TyvtVeVkA2xYrcZqaAtx5nVCOgdTAyvqAz9/9UH3X7j0vlv8DO078dwH8/PG/oN1ebTz6wJd8zQrTLckoyirTsiVK5V9KCpSBtNDZDujGWFJNAfZxYOcyxBZAt7kcyZ8/z2crs6Qia5YQBbiVlFmjRC5PoOZB4BvqNUs9cPq5UY9pNyKmm0PmZzo8cmjEL75nhqdOLLBjWrHQNEzVBa2apFFTNOqCes1dHC7VH/HAfkF/5FNTZBeZ0+B5E0JqBHGiadYUt17T48Fn2gxiJ1OGYcpgqOgFisBX+J6f6edprtpt+PUfv8DP/he4f/8WYiOJjcmapcsezNCXBL5x7O2VdfRa5XcymVLKOJlleTcDeZ4UsjnAM8CnhfNSFnBVV15T6Oty1TYVYFdX8bL603Xpr/bX+P33/ZX/xu/8jsZ/+qNPD37mR97wPx/g8eAQun7R9Pmjf/z7rWDt5VEQAj5SQCQFKpEkEpSisAFN5nykMjsIOl/SwCixOWtXAG0KYJdNwWTauzgZwhUUCVnp48zA7QAOKqsY9DT4Hq4TyM8KrIKUeiYvWvWQqdaQmVaXxw+H/OJ7Znji+Ba2TWsWGoapOjRrgmZd0agrGgV7p9SChFZjxL1P+Kx3aszMlGnyHDAm06Zxqtgyp3jVC/rc+7BxXTSRqYBcUvMkNU/jaR+t60hpuGq35dd+/AI/+18s9x/cQmw0cVYB6MpeHZMHsSyqC30t0TorwpICpfNjQ/H58oswlyoir0qjTAhN3k3l0ZjKY7HyVlZrW2HpCvCT3FDIKhqjxM3E6Q0NIaOXP3Xg2B/+Xz/91p+85UWn12+9btf/XICL9BB2cOJndfL093niNPXaNMYmWRGTdHIgFVkyR5Aqt3QpQyZHsiBSVXV2BvYsOZOz91ggOcncGdLzjFyhvWVeQVfq7rxiUCtcfYa2eJ5rLK75hpqfUq8lNGoxzVpIqzFidqrDo8+F/Nx/mefxo1vZMu2xpZEy1bAZuDP2rknqgWP/WpDQCCISE9KLAoSSeDmDFxpcZOyWZfhij6Y/cuUCUY2ZHOSjlIHvGDzwpauJ1/kGtJZrL7L8xk+e55/9nuH+A1uJjSZMBVFqMhYX1GJD4Fl8z/Wu6izu0MqVCLs2QHecnEwRY3VCbqLB2OEuCtaq4C5IqEJMVXDnYC9MgrHSjayKsVLoFcaWMIIokRw7sUpcO/p9V3/+oSOjMP4X/1MZ/OEnT7F/cdfeU4d++bo9Uwdp1j1GcUKcjTjLm4WlLNkzNSXIi2J7WwF3FqTYPJi0ZSBWMkWZlbTVNTNn7WpQmS+3WYeOyoIprbPOoKwIKa8erHlppptj6rWQmfaAqWaPB/Yn/PwfzPPY0a0sTGkW6ilTNUsrA3e95uzEHNz1IKXmJ7SbEfuPW+55tIkvJZ4yWRBXehT58h2nisRobr8p5tJL+hw5WWehQdnnGKYMRhkLa4XWXtHGJ4Tlmr3w6+9Y5l/8F8NXnllgFNddMiyxNLIa7sDDgVznq5fJJIpEqrRY4ZQUFYCLCsjZoFdKkNtxgBcViuXKWwK9XJnTKuAz5k6yfEiSMXiUZnXnVrGy8hxLZ6Lr/vGP/4u9P5ocOyH0xX/zAF9ZPs/s3PRFd9/z4H94919433XZNsuPfjuZ7WTR2tUyAMiMyVNJeZWqavnqxiWtCmozsQxuYBDHLRmDT4BbWKTKbUEHBq0y1tYWXxs8zxB4hsBPqPkJtSCiUQuZnRqw1hvw5afh1z+4jScPzzOfgXu6bmnVBc2aKLxy57wYx96+A3g9CInSlNGwRk25i0wKMVbJlydSXKCpnZbXIWFkGcaiAnCD76f4nsbzJFoplPQKgCPg+osFv/6Ta/zmnybcf2COs502o6ZkOrW0EkstmzgQeDbz/nMnxRbsnUuVHODF580+dBXnhULMTkq+qpbgHpeUpvJefp6dXCnLdFNb2oZ5qW5qXDzn+ylvvO08337T/HcdPvhQ2py98f84dXrp+O5d39gucN8wwA8cPkrtdO2W06cOvrmRnmWuuYX+MM5mcmeDclQOcIs0glTKIqIuPVQKm8klaez484oU2cja46owPwlu3EPO3jaTJ7YyHMiVxXraZGMm0gLcgZ+Be7bP0tqQX/uTBp/42gLL/RkWpiQLtQzcNae7G1lgWQ8kjcBmDO60dy2IgIi7H/dZi33mAsbqsRHjK1SauuaHdqB55Y0DHjgY0YsDpoqOdYMfulp1XzuAa2VR0kNIl6DBwpW7Jb/1j7p86oEhv/rerZxenmE4rZn2Ba3E0EggiN3oZV+5gUZeHmhKUQTB+WM1UK9emEIUvSIlizMhISvArsZP1dhqLAit5jsyFs+tYE9ZZrVg2JvjU19Y4eLLn3nzC14g/mQ0Gh3/G2XwlfU+s1ONyz5395f/8dGjz/DKm2psn5cMRyOktJlaMCglEcK4g5UlbvJmV2PyrBjjj4UEsWMsPsbaVVmSHeicWfJ0c+4CqBzgyqKlA7ZWDtyeTvG9FN9LqPkxgR/Tqg/ResC9T6T84afb3HnfFiLTZktbMF9zssRZgLlPrrK7yJi7yt4xWod89dlpBpFmeyP/PJMMnltpkjhR1DzFi68akhgH8GEsXNd63rkeGhccapGxuLuQRZZctwjmpwXfd0efVnCW9356yJefnWMxrjOoSdqJpamtA7nO4hBls7jEZiDPj6Eoa8clSEoWr+4oWD0lNh9RweTqW+0eomIvZoxuS2CXgHd4EALqnkUKwcFDTZYWBaP0SYj3E0aWb/T21wK8u3aCrz3wZdrt9o7OheOvaOgBzbprYIhihe+lGbAcyE0G7pyxbZ4IKJICojjBY1qbUmuXwK5YD1X7StgJaZJn5VzFoBvtZrKa7wzcytViBF6M78fUvIhGY4TvD/jgXZp3/tctHFmaxQtqbGsJZoOUdmBpBtDMOuzrgct21rKEkKtfSbOVwMmT5W5KP/LxlcKXtggwqXyV/MJOs5qNKPGoeyO2TQ9ZH7QYxiIbt+ZiBc9LM5tPZXancgAfC1xd5eN3vazPzVcv8et/POIDn11gNWkyCDyanqStXQ1OoMFXFM0QOk/6ZCufLKRKmQCqksq4WJlk83IFnpSauTZPq+5LBeB5AJ7/TAp3MYIlSiSHjg3w65f964su2rf/3e9591OvuOP1XHnZnv8xgFubcvsrbr7ozKmDf3DyuWfZuSCoBym+Z7KD7MBFtvGTtQIr3QFXRpQfOgO9taJIFlhbBpiWKrgrpa6Vm8CWbJJl32QV4NKipPtcJXOnGcgTfO0kSeCHBN6Q4+cT3v2pJh//yhxHz8/QbnjM1mAmSGkFNku95+CWGbhlkRSqZdo78N2F026GfOyrmkMn6tSyCVxFuxglyosxDjYrTko0V+6F77i5xx9+Zo5+Q9POZo8EURY3KIPW+YQvKiD3KifLrQp75iU//4MDrrv4NP/lzlmOLk6xmtQZeJqmEjQyoPvSugsnc5mK1S8/rrl9iNPnZabTbvTJ85U2L50ofPNNLEVTeT4B6vzP5SueMYI4dRf70rrgyf3nr7vm+ts+8uLbXvH6Tqf710qVrwvwKIrxPM25U4/s6iw/u68VLCFqfrHcezrNTqIds5OK2gVbArx4DWM/q7J3zgIlK+S0bcd0YA5s92iLehclTeaa5Oyd4unEde7ohCAI8XVIL41410d83vupbZxZmcaoOrNTilnfMuUbGhlzN4r0vczqVDJpknnnBbh9l70M44hDpwP6UcBMkLk4edIpdyXyLKyt1KTEmnZTc/GuCBWM6EUthr6gHruRaH5xvJ1E0bnrIdTzBK+KhakBP/FdA958+yLv/VSXd390juVhk6GuUdOKhhbUlau/97NuHyVFlt0kWw3t5kzOuFwpwL0Zm28AuKiAm43PCzIDk2l+Gzm56ynB8voqX3vo2X2BH+y64+UvPJ7EMdrzeL7b1wV4OFzEpq0FpdRHls895rUaIEWYBXCuKi0H2FiEXXyREsTVFrJCZ2dftmRsgd30k9iKHWgLYI/JE5lVyeWDg3SKVim+F1PzI3wvojOK+OqTkg/e1eajX5ljlLbwfZ85XzDtG5q+pRFYGn4J7logCQJJkEkTlxjKnIkM4L7nMp/Hzlm+/EiDKPYImnZDgJnfxiSbkUSxwvM0r7q5x4e+0Ofg6SbDmhvNEHoWPwEvNniRi3NUZsPmblUOrDGP3UgagWbr9JB/9r0DrtoT8oG7Wjy8f4qlYZOR8vE8TU0L6hKCfMBSbq9Kmw09pQLy8ZqVyeKsKqPnBGUmgG7sZo/jfy4HuBSQWFe3EiUiG4Ohufu+J7xX3f6ijyyvdF6w3ukt/XczeBDMyP76/lvWz31+aqrRQSqJEqaQJSXQxmFpx/ohRSXFKypaWxSypKhFnviC5RG0yJzJi5SyKco9ne62aJU6gKu0kCNax3T6Mfc9LXjfZ9rc9egUq50Wsl6jVVdMe5a2b2h4loZvqftkrO2Yux5Iar6i5gtqPlmFnsnAbQg8p7+VDnnuNJzp1FxiJdO344mTsn7G9UFmpaRGEkWarW3BZbuHPHUyYRB7hNmMbz9yjoKn8sm6eaLGWbLVW1UOutpsVx/+tlcNee2L1vjiYz3e/9k2D+9vs9Jr0JE+fV/jK4EvBYHE9XBKt0udEuVFqkRW9rsJg2+oXwE26PIMyGYD4CcAnsVckrzcWVQ+g6AzTHjvh++Z+sG32FtefONln+HrDA/6ugBPw9OBVunvieRQc7o9olCSwp0mF3jY8S9YgLfyvPraiPLPVbT2mCQpjlpVmpQXU7nDg8k0t0HJ1A3Ez90MGbPUS7j3Ec2n72vxiS9PcaHbRNRqeC2PtoYpz3Xy1D0y2QF1X2R3mZWcZrrbFwQ5e+cA1wm+n1DzI6yNufvRgBPn6szPCjxpMh0rykbfCtvZsXJTxTD02LtV8KobB3z8axH92GMYC2qe61f1E5fhK1cpVfjVCLnx+Nu8wVdmWVNNPQh52x1Dvu3mFf7yKz0+dV+De59scaHTYCh8hr5GewotBJ4UeFLiCZtJLYtCVKThuH048fWyz1JedPmjRRQAz2WJmQR+5aIRlA5UfmEZK/jaM2ea3/1Gfu/ZQ4tXAcP/ZoCvdA2DdPgD/ZUvT2+ZPolAEMWyKHwf80MrwVPeEWIrersEs6jo7SrQKzZJdoiqy6CoAFsIk7k2BpEBXOsUX8fUajGjMOXgGTh+VvHhz0/xmYfbXFhrgldDtz0aStLyLC1tqHuWugc1z4G75rmZhK7MVFbuIvu5zUBuCpD7nmtPO3LW8NSxADwvW+ZtJUUvxlBQZa+ifjp145yvvTjk6l19DpxpMKwJGokgiC2hIrP2TMbeuZuSA6DUKoXPnlmRxqhs+oDHKPKo10N++HUhb7x1nc890ufPvtDg+NkaB840iNYDkkAz0tqt2FKiAJ095kxeSBfK4H+M6CoMXgW2A7LDQZq9Lkqgi2MzKVRLv9gai0ks3dVVHn36CRbmGl+Po58f4Oudjoii6Gd+/0OHpi+ZN7zw0oibLksQ0hXtJLHTjg7sFbDm3exVUE8AnErHe7EkVQ6NEOWjyLtNctYWJuvxTAkCN0k1SVMWV+DzX9IcOV3nngfrnFmrc+RsE4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzu8yu6sM4GSaOwO3lxJ4jr3dhRVxbAn2H2/gyXF7sJAolPXgxdKcOykm62tMPK7eO+SyLQOePpowSDxasSDU4CduJqCqAFxK4TqnKkyeM2VZ9CSKYDbvo4xTj9Dzadcj/v5rQl52XZcza13ufsjn6KmAzz3a4OxKjXToYaQm9hVCSrdSZF35Tj7kK7oYI6RJZ6UEbqYlikdTSejlFlrlkcxuSSzEBqFThIp58eVDXrQv5obdX55/7Wv+6T9+x/D4b3j1izYN354X4O/+k08RxSn/9c4+Ybibi7d2uGbvgNtvGnH1RRHbZwz7LrJoK0gyZrdGkFq5AdRUXlM85r+pGljmiRw7wdwVKaJSvCAlTi1HTwmeOqr4/IMNnj7m8+yxOt0wIIwC8HxU2yNQgoaChjbUKz5woPM6jbxs1tWFB5ks8X2F78vsArCl9vacRep7TufX/BhrIs6vSkIboLXElxZdsdkmCLwAeWrH+x2jxEOgWZiNkGpEP/YYaOGcjrgsGHOTd6uZx6rRLisxjyyZvDIYyUtVMX5iEPpsm4nYszXmpktChtGQ/+1Yh6eP+3z+gRpPHatx9GSNOFEQKKxUICSprGSDCvp+Hq1SzXAVjGYmAJ3Xa+SzzQ3EBk3KvosjdszEXHVRyO03Rly117JzXhPFK821xa98nxD6N/6bGPxP/uwznF/pqb/60n4hjSBM2zxxvMZTR4fc9fCQKR2xZ2fItZdHvObmEXfcGIER+J6l3nRBJlaAcWMCSkaXFbdk48EotL10dSMIg5CWOLIMRo7Rj5+W/OldAYNY8fizNQ6fClju+4SpD9oH5aHaCl8K6goaylJTuHFmKis8Uo61fU+4pEcV3J7Ez2RJ4EPgk7kmLmXuaYPvJVlGNKZei7iwlvL5+1t0egEzUwKdefF50dfkeS/OtakEhEYShor5OcVrbx3xuYeHnOw0GXrSyRQNXmLx4tyzzjx2mTq7kOqsE1n8DmN15Xc4oPupItWKxMvGPsSes1K9mKYf87JrE158VcibXjHiuVOSJ/Z7DCPFBz7f4NiiB0IyGGrSSOXlm1idA3zCMsoBPpaWzmJCaxAJCGOxuIkI9UaK5xkEhle+JOQ1LxxxzeURe3damkoy29DESY3BqE6aaNLeASFrt6hjBz6bXHzl675xBt8y23qXjHvXT3kpWkjWPZ9BrFga1lhKIo6tRtz/dMJHvhixMBNjjeXGy0Pe9uqRq/VNYGE65YZrI5o1dzKdVBMbFHd+FPLhPJ2B4IknNStdSb0meXC/xye/UmMUK0ax4tyijxGa2HoY4YHWiECjpcRXgpq01DJgB8oSKOtqwHXm+eqSuf28L7MAt8p6NEXB3r5n8P28QCst2Nv3Y5SK+NJjio9/rYXytbPbxvT38zN47oWX3eiK0cjjjbcN+cRXu3zg7in6SY1mpsO9XIfHeVLGFt1CQsgCYO5XyYrWrwDcOCZPtGNyTysSrdFJ6oCuUpRyg/Rnagm3XZFw6xUxVoS89Y4Bo9iNc/urrwQ8tN+nHgiWu4onnvbpDmSmksSmZ7hgsqzysFkz3PCCmPnpxBVgpZa3vXrECy6LsQYWpmF2GoRVGOsTRx6dvk8Y+YyigFGoifvm+rld0+8CfuIbYvDl1S5zM632f3nfx6+QNlYNz2SBjEELSV/5xKnGpD6hiTnfDTi/noA1PHeywSe/5JBsU8PUTMot10W06q4meNP0ZPUyz1yH9b7i4ad8uh2F1NLNRLHaMZPQrptCapAaKSWeFA7M0hJIgy8dEHwFvipn9DmQi7LhQbtGgLzxuApux/BZWa2XM3hauScEOsbaiDPLPlFYI5iS+FnaW2VVeWNZzLyjh/F8QNGdbhRR7DHTUuyej/DFiGESMEwEde2GYOY1JHlCS8lqeassfpf7HTJL/pgye2pM1jNZSqMkyeaxK5Xtf5QQJykqdrkErVKkTNg1b7IVw3DVnhGRHSK1odMRPPyUZn0gUYViGQ+qq2SOdXXhzZrlxdfHTE1bbOqORV0KlJBZz6kiiZycShKPJNXZ8FWPUei7jcRSq9rR8IrLrntTO4k6Xe2PzzXcAPBzi0ssr6z9xpPPHL2j3+/TCBQiK25RAjwh6AtFKN1MElcdk4BNSayhkw/fkZbumuHcPVXdtRnAq/otOzlCYPItF8hqToUqgxwpMysrB3WWdpZkG7fmvnHlUWed9Ips6z0KcLu2LoWfgdvXFCWmjsEzFtcGP8uOel5MEMScWjb88eeaoH03nUtWEjxj4JsgMUoGdydTFoN1otjj7a8d8pf3Dnn2fIt+6tFI3Ka0rgqwnOkoVJ4TqAZ7eeliLoVkpcArv5uiFkZrhZe6eSleBnQly6SZqxvPnguTDQ5K0cIibMp8w/DtLzUg0jInIvL9M+zG8134iAJrNCYRxcUYp5LIOuencIBSN3TIzT3MR9e552E8oLd+5I5+59RvGJP8w7+Wwf/qzi8gpfCXLyxS81wWqbTyKPazGaYwEopESoxVztopJkuZ4oulledjmZyCtasAl+V7WfAipCxa0NwF5tLKgXDVgp50r7Ukq6nIusfzQiJNZQ4K2c5sZVd9CXBZyJbAt0VLm++byuCcBC9jb1/HSBlxYlGw1K0htCaQjMmTIj1fsdDGHIVK4VkZCLoZf3PtkL3bhhxYDBmmmlEKQSrwUouXZDo8oXCWysOoxjoVcm5xk3ZtWbpcSCODTg2pkiidb1+usmK1FKlMtlKY0prNQC7y342ZsHLL5F/ugJUXd1Hs7B6ruZLcmDCyuOgdwPMpWroY6BnGijDWhKHg/OIyofmi2733rwN4v3MOIQTNIGbUUAzCvJdOFP5kDnIvm0QaZeMc0gzoNvsKtsrcz6dOhHDLar6UFxZU7rmCFuAJiycy0Fam02pZeS8j+7IUlKLB1lfCgX0M3NI9+jnQ8+AzA3fe/aNNIVE87fSp78ckxHzqq3XOL9XxphR+tYaj6qAwoUjHCovERBCoGIVugu0bXtLnq0+O6CY1BlpTTwxRlk5XsiyIygvOhDCUnUN5oFk2kTjrMJupYimaULQRJEqgU5ntYudqeZIM6GUyzRQJNilNJfFmxpJwpbVb8cg2HICKZZx/TvIElXt0AM8TVaqYJFxsohUpugNFd2g4vXxuU3iNAXzx+KdpNWsv/dgnH7l5bRV6frZ/SwaYQkZrmw32sfgSAuMsr8RCWhj6YswD3YDr/J4nCwSo/FFYNBRWm8pSxm6+SalxVQ5s6faTz0chVIFdzEFRuH7EzQCeB5y57ta5LLGZ3h6vJfe9GN+LWOwYHj1cB+2jM3miKwVKebZPTCDcnchK1V3RlyoLTzyOPW68NGRuekhnrcEgUTQUeIn7Liq17h5XAe5KlssKBzlRqSmyvkkHIqMMqRF4RpAqSaoMqRIkGcirxWt5OYTMQZ6DujIhS+BYvSxpLnh609qVannGWM6kmKg1AfDM6iz8/EQSxorVjiUU+uY9l97y0vd84HP3/dgPvnZzgK+sDegOom/vD/o39AejbJ9KW2avssJ4j3xHYJeF8iTF5k4FuGFTgIvKY1FAlf1bVebOR66pCshzxtJ5XUJWA56Xerrm4rxTxckSVXSvlMDOm28de2eaW1Po7dwSdIxdgtsrqhNjBDF3fiXgq0+3kIHGl8LN3y4qCMs2urLibzKbmZ3IgsVdYJUaxXDkces1Q77jZT3efWeLKA3op5JaagkTspWrWvVnMjlnJi6o52NyMFoWTSk5uFMlUco4RpcyGy1hKqXI1RogW4J8EwYvZZMdA4AoVveyQKe4CCtAz0fGVee+p8W8RNc0AwItQ4Qf3VAL+t+e6uS+TRn89OkztFqt1372rrt+8NFn1kiM28+xan4IMrBhEVldQg7sMt1aShm7GbKrIM++bA4AWQGFpKx5qI42yJnbbUGSvyZjcIo2rDEWz7phPDUObjdOYYK5s55NP2tv83TecJBU7jERMX92d5vUBqgie1kNMMu+xtzZGNPgTLTrGelGaaR5sKkReLztlQP+5FMh6yZmmNYYpgIvoWBxKS0yEUXRmbMLJ7WorFiTogJyQapt2TOrDKm2KOPkSj5qT6l8QrAsSpNLi3K86C6vVSmaUipArxZ2bEzG50FxWaPkyq7LbdbzJpn8oskz3rVAof11ds1EP3jDC191z4UL5z63Zcv2cYBLUkwSXdrwkn1bp1OG9YCTixFRYtxOZbbCBwJ31VpQ2QHTBWPbyrIzIUtEFm9U4spcnhRAnyjPLLT4hObMQV+d7aGUKLV4VnE3NuwmA7ZWonRSCjvQddy7xmSbMXcZYOoKewdexKOHJYfO1rDKQ0mJLw16sk6jIsAnXZT8XrTvVU5i7qjEice+HTFXX9Lna8/ViZXPMBHUJHipRScik29ZF06S6XCkkwsTACpZXFSkUd5Vk7srrt7FgTtrZ1O2Au68FshmZQK2WOXz1UNUwI0oJ2YxBvbxwzHO5KI8NmNs7g6mFO4zBp4zMJbWFMtrfdpzg31XXh1eOhxGn9vA4E3/DFrV2LdzifoL+9z/LHzxcQVGo2SFxSugtNalEzY0CU9SdnmNVpi78rwK9Aq4VVHzXdpupWQRrntelOB2QaYousV1AW45BvDq8B/XbU8B7CJbWTB3iq9dYsd1BcVYYv787gYrK3VEoJ3vXr0IJ2tQqktXtVTUjLPqmDdtFHGsmZ+VfM+rejx6uE2Y1hgon3rqtHhezqokGbjztSIbXV0U5mbUNKHHTTbvsTqVyt0lylR2mja2SCxJKbPvWTa65F3+QsiyOWIM5GXRXEl2G+3DMpNfStyxINS6A6gkSD+lUUuYbq/y5FGPe5+oEcx32b1vkf5gVPyrBcDr0X9EJILdMwPmg5CnzyhOdnbQlJJ2YLIt6SZqm8dKXScZ2058/PJJqb0nHquArrL42HixkrFllcGVqLB4LlckSo8D3NfZACAv3zowy3Bqi1ek4k32PB27a+U6d549AR+5q0UofZRUWfZy/EKczGBuvNzLYziuwzMtnjr/N0g13/OaEe/7zIAnj9aJlcdASvzUZO6RQKa2cpysay8T1TXUZL9rfN+iKpOnBnRhIbqpvyorCVCpLYd1FnNZRHFBJxN6vKwjGu8EGgf4RoxUx1+PTVKoYCvfqUNJtweS56+xNvI5cF5z/M4n+Ph9B0lN+e9qgKcOnePszLbGqUd/4eJ48Cifud/y51+Zox8H1APnkCjrrsTqgMbJ8u1NAT32haoMXl7ZkyntjRJFFMCZHIcsK4ydB5n51Cat801eM+2tJsCdp++9vDHZuJkhRYtY3tOZZPcY5UUcOqPpRT4onckTO1EeO3nhjh+Q8YFGE1541o1TJn40TU9wxc4RTx6KSE3A0PjUUlezrTMNroQbe+YSS/lq6XbYqIIcyqRK3umui8Gm7j1l3Ewbbcg6iCzSlBMC8ulaad7dXxgAZXBZBJ4FqY1r8TGpIjbipcoEduznFqRFKgPCEniKf/D3Omyb73LfU9O87ObrLv6Vf/avGvHwHw/8xl4H8GcOn2b6/Opr/vKL1/7su/70HOChVcBc3RXuT+rjDaN2vw5T55JbTHyRAgByHAglsMs+RlVhRTU2VDMHOWWNtKqAunieJXkUmRfuwO0AXA4F8qrypMreKuvr9CNWe4b/9BctVoY1ROA5eVLZLS5fZaogf95zl8sVU2nCLhg8S1UnmnZD81Pf3eOLj7ZZCX0iqRlKiZ/1UJYjHzIGzyt+Ml2cl9FaTAZukxW+VZ0VkTG4LYL0HOxKiozBnSRKCxeFQqaUOrxsJyxlSh545sejfH8z82FD9Fa5QKQky4Bm9TtxwEVbDf/sbUPSty4RzM7+bNx/9D6b9v6yYPAvfvVpGjWPp/efQpqAViugodwsDV+VdpQS5YEsADtxEidjqTEdKsYfq6ztmFyUIJeTEmV8ME0BbCmQqhw/piqg1lKiM0miC4DnmtsUQaWnTQFuT+f1F+Ps7akY34/48N0ezxypg/SQUhLkpbEVa7PYIz77ks9bTVhh86K7vCJTEuNazpLE49p9A77rZV3e95kaRgcMpU8gRZH0UVIQFwHdRiYXVSaf0LWFVFHONNDSZlMRKGY7qnxScDFWopxFU06mde1lQo4DPHfEipV8A6Pn4Mk/b/l/Ufk+Mvs3UtzWOHGqGIU+xgg8z0fLPvSPYayPNSEFwLdO1WnUfebbAfN1aAfG1XYU9Ryl5zypLwtG3myp2QBuUXxJt3WG2JS9y8BSlGxeMORfB3BZArxI9OQAt25OdiZFPFW6JV5lOFCpuR17e9pNrVrrGP7qSy2WOwHUMvdEVIKx55Eo+fecJKhNbbtKgsOksqjBmGkrvvOOAZ/46oiVfkCkNMNUZvakyNwbUTZjy5Itc2BbW3b9mILNy75InTsrKnueTQM20o2/zo97FeRCikr3fT7EM9Pdclx/j7E55YVffM6cDGyVBLMVSViMFEhrsxVIFatfYiQ60Ugg9aap6RlMmgH8nocOsn3rzEUf/+zDP3P0+DnmGoLAM0WypLpZq5wEeCE3xJj0qAK+KkeK5xnY86u5OvDx+SSKGAP2+OzvaoeLG+7OOLjznQ1y5lYV5t7A4Pm4iXLkhFYuc3nsuOC5EzUMAULqojm3rB6sxg+i4mqUB6Zai1IyecUKK4bHy7FiI6zmyr0R+7aPWDlQx6a+Y/HUyRRdcXHK4K5a6JUJ7ryMFrK6IVEJPsFIUViH1dhGGXfuTTZzskhoyZKMCnAbgSQPdnO2nnjOOIgt483MZYwmihk4wrqL2BFCmaDSqURJFw+pwRmmF675maktr3k86j95XHvCYqJ4W12Z1/bXl5lpBZUpUaXnPAZuYGxuXZW5N5MkY0tTfgJE4amPDa0fkyei4kwIymCzBLRjcLJRwFUfvHrPtrRWVXBXQJ7tV+9lpaE5e6vstdYxSsV86mstDi3XwS/liVexLjdKrgnNtolMMRsCzjyjOa7Fo0hzyXzEG24d8NCzDTCufHQoJV6aZXfTcakkii74PBLKbUPpSgWqUw/y5zJ7LrNVReZ3kQ1UtcXqmUqQJl9hbUFMY1KlIj3Z0JVvC7KbtBKL94QFU/67IruY0nxMXyrdpsLS7YcURj1aW/Rr/VG6LYnkcV3PZnzMNmDbtNOoFLqpqofHA6cxC2wzgI8x+cSY4+rfz4Be1dqlTBFFGegksAs2V6LShFsBdzafsNy2g43A1uWAoGLEmzYZyBMnT1RMvRHxtYOKv/xSk+HIh4ZGS4EnxqXJ5OefPBYbAM6E/p6wDKu+eJxoplqaN90+4jNfHfDgQR/b9BimAb6guNBU8ftLHTwe7juQVzuqXPCZXWDKsXkqsyRehbXzoN7IPKgUFf0tKoFuhhkjyBM9OQ6kqAaYYjyln7+3GfgrK5KsjA+pzscREoYjwVS3Rm1aEYUaPRrF+F5MGKdoCTW/1MmbedVsBvAxthbjwP868qS8i40sni97Mgd6xuaqsnuDElltSgnuEuR52awb7ZyPUNbZJkxajQPdK9ja3ZVyAabvR8RRymfub/DsyQZ4HkKqDFTZSlcJLsWEhBv77hVkF6ydJ8oqmUwHclkWG2V2YRRprtqT8LqX9HnieJ0w8Umlx9Ao/JSJzyIYK1mdALmd+Cyo/GIzGCVQ+dQxKbAKpC31eLGiSpCmMsvQ5C6KGDMJJle2cXIsg+FxK1lQdVvG/1wV9OMa35gUIRIEEYII/Yd/cidKKbrdLrXAI/A2Ms5GKTIO4hzkG94T5Z8dY/ANIK+ydn7wqgFmuQNBKU0qVmHB2DnAy8mphUTJmNsxti2YWheP5XMvCy61ign8iKdPCD731QaDoQ9NDynyykEq9uAmWcz8u5VHsmTuIq1ZTtadLJ8t55qootun1Yp43W0hn7h3xBNHA9A+IyPxMy2uDKg0B1r2GdJSHpBWwV4C21q38hXSRTo2z1eVPMg3zoZ20iRjdGGqbkq26lbBnsdacjwuGNfhz4O1yVivwu6lbVH+XS09zp96mN7qftI0RcfDFRIhkCZmqimL/RwnB85nQW4ZOFb+0c2kyCTQq9or/3CTQCjkiMiDykkGd3q7ms1UKqswVPmM8hzoFeZWFebOwZ3dvXwKbVbgr1Xi7jrG82ISm3LnfXW+/HQdahqka2j2KiW8Y6Wx1Xv1xWYSpVIXXth2pmxGTq0Yq4lOjSIcebzi2gFveOmAZ07USBIPKxRDofFSis8k0opuHbu0NjJ5dYi9UjlzOzZ3rwUy2w6ydLMcyE01yMxBLUuJmZMW2cz4jat7duFtAHfpslE5lsJWgJWvQBW8gke4GKK1wVqL3jrrI6QgigT9fpJNPM33LCznWEyQ0OYgry47GwA+fhXm1Yj5plHVAyImgT0mVapp+spdTYBbVe663AQ1B7RXAXXunDjHxD0q5aTb48clH7m7BfggPYRQRReRyjZSrWZdqytSZb2bAFjlxFBl7ooGtwKTutY9d05Ukb63VvO2Vw75/P0jHj7iJgnERjFIRVbwlYEuzcFTqQOqIoOs8lMxBvT8pyoDvZHZfj55UGwqmWWb/S5biZtMKRvK4Lsy4WtMWlQDzOrPy/dLAp0giPwzF86TIE4seuihtHYA3zLvltwwBC08RpElTkxlez+KK31yzoWo0Pmkzq4CvfwConAWJnV3eRBEqeFybZczRx7IVUGetaaVm025nR3KAfgluMdYu/KYN9bmUkWpBM9LiNOEex6s89ThOngeSBdc+qLsKipkVbHqbK7BJ6FlK0+KBohKjchYdWEqMSqvi9aEkcc1+0a84hbH4sPUsXgofEYGdJoHc1mdSuYjI6hIlOy82nGw5CuLkmCVRVqBsjjv2QqEFVgB0opSquRBpaDC3tl5NZULX5YaWmwAdampmcBN9SbEhMVqy12U40TQH1oMrm7dWou+am+M1oLV9ZQ4cn17ucbJyymL9qJNboVpX0F6yd65/1n9QrndM/6+m9JU3SNmov5EUOy9U+xenDffjjU8lFuXKDUB7spQ/MI9USlKVwCeSRRfxxw6J3j/Z1qEsQcNL5MnFK1pqmCospSB4gKf0CyTNzsO9KpMqW4OYOxmWlzTDCQ/9LoBd365ycEz7uJLjWKQKldlmGbJn2xdF2nmWEysJDYHegXgbs67u+BkptGlsdjsHFkpHMBNJVbKmdzkBsF4zCUFCFPBQbVEo+p5bxLbbTh+E1ngHOBhDL2BYbmbECXunOhD5k1bB+cP/EJ/8UFU6mWJFfcvGlHumwNVnVP9EGLsg4zrqcpmRpUlaVySVNmbCshLtp4sspKV5JMq2LsCbJkHl+Pgzmf7lXo7ey5Nqb2z4DKyCR+7u8njh+qu3UdolHCZS53VYFebi6syhcqJ/bq3MQ1eHQQvsklhxgF7DOQSYzTRyOPGy4Z89yv7/PYHfYZGg9HEQjI0LkZwmtdmejyjoQlnJXdQiqomazP2dquKsmAz79vaEvw5uKXNyMiOr2K5ZMmPiRHjgBem8nwT562QVV83fsnHbpQ79PmeZO/2Lt/zXdf/wnUvvPQdOlo9Pr18vvv6A89GXLZToVTGpDlgLc8P8MoHKFl78sNWX09uUzf+uljqqsAZqwO3Y9q7AHpFkqiK9lbFTg+VjaiUnZAkeaVgWoDb0zHPnZV86IsN3PwVx95F534ls1tNiJXNG+OBpqi+KGTJuO7Ni63KHTHybV7yrpZs8GmqSFWmxVPN975qwMfvabD/tAcywgrJKPXQZPUi+bFOs5OX5omfnLkr0sm61zabjZV/NplhQFqQ1smWHMQyyy5ak/njJgtQJ5yxyedVMG/mqFTLOjbhhYIcqi14UsB0W7Jri0WkyetPHlye1rO1CNNMWZ3KJ5W6oERKUYB7TH9vchv/gJXgYIM0qT5OJnXG9dtYDXhm6lf3kSk1eLlVYM7iagLcOhvWr7PRw1pnw/Jzv1slKJmgMgZPVcIn72uy/1CpvaWQzvsuOmjY9AQKJl9XVrjqCSqejzcgj3nilYlU2ghXmyLLFH4Ua666NOSNL+1z5EMBUapAaFKhGQqBTjP7jjzQzR0VUfkUtviM+RQEm5dHZw0GVlbYPL8LW6b4BRjpgG9ymVLxwatgFxkRVDPYG4PMicfNF78xF6q6PcrSSo1Tiz7TI4XetdWn5fuEXZ/UKqLYFh0eVtgx/V3tzRyzC6tB5wZAl6xePelSbnJlTzL3BGvnr3PWzsGeM3cBdFVl8lJ3qzyIlBVpIsuh+UqleF7M0XOK//yxNiPpkU/QKrvmsxWkWgNdlSRj4vH5b8V+RMVSa4s2rfGm2zJ1X61PSY0mST2CNOEfvrnPX9zT4MhZDSrOpIrHUAhULk8yPV4EmxMgz715C+j8gsvek7lsIWft3BM3Y2xuhLugjBRF3chm7lIuV8zXYfFJ9h5zBu3G45jv0jYMLYsDS2MW5iKJvmTXiP70EMIhx8+1iZPsQ0l3JReuViX43iwRVAUxOcCpfLH8+ViUPf68CmwxwdpFd/8YuE0pUeQ4g+sxfzvX2VX9XblLx+KejuhGhnd/os2ZCwEonVmDMpMndsz3Lp5PnqjJi/zrAX2MjfLGg2qPZr4My+JeNENIRZpodi6E/Ph39fj19/t0Ylf+aa0kNMrZhmlZ6EQqKG3DEuTl/91PVHbSrSVjbsfqOZtb6yRQweDWnSebyVohsucT+nuDc5aDusrizxNgVl9vBnJrYTBKOXgqRE9HbI8j9PHlEb3OgOPnu3R6NZJEj40cm/je48tGDuwc5JUPWU36FP5nDm42AbesSpQqa9uKNVgW2StRBXSFybXJGN0U0sTJEbNBqiiVFI9axegg5qN3BvzBn7cJjefkiVCFPCmaip+nsrKqH8UYC2wOcVsSaMUqrII+T9lbjDFFdrOcF+K2Aq/phJ94a5/nTvi895NOi4MiFZKRcb2bMqVg8LIAKz9ZtrJKl3alA3cpWazN2FzklYc5m1tnH44lfpwCyH9X7p5NanMoAf/1sprPfxTLm6dhpiXYtStm586QLQsh+iuPtVg8H/LsUy2u2muYbrtqs7HgcPJfmgB5zlbVDzV24ie6dsZ0d1WaFBVppe4ug8xsi+7qloGqLHZSylSkSg7iCpPLsjpw/DHJfO+Y1TX4iy82WAtzcDuAe9Jpby3G5cnYZ83tss1OSHV5rTBOwT7ZD8aq+ky5O12106eoE5cSZRTGaJJUM+WnvPnVAz5+X4OVngIZg1HEOD1edPuIUouPX4CbM7nLA5VJobw+JQ82rXTvFYDOdbhlw0qdJ3+K+u4cY8KV126GpQ3Jnk0AWdXvW2cFL75acenlkkZLoq/aKdgSSFTPo9n08HRZx7w5Y49HuNUrbNMImY2g3sjemwBbjEsTWQSW1QaD8aAyH05TgjsdY+2SuXPWLtnbayTc+aUaDz5Vx1S0t2tqyOXJeL1JtTJubBWbDJ6el34y9qxYhdVtsMc3Rq0EnVaibOmLJ6mHNgkvvjbiO1404I8/5YOKQEisEIRGo4Rwk8OoFCyNzT+oaPKKD67yHolch+e1M7JSKCadnVw9f/luxVZsJLaN2KgwO4znVsa0eQX4k4SbHbOVrqTTbxLqNjMzLfTOLYqGpxiua1KriJPSU3w+DVQ9aZtZPGNR8eRVnH0BKSdBXgJmnL1tYREWG5VWAC6VRWcjxqTMHBNpM12dgzstHRNpyt3YpHNPAi/myEnJ++9ssdjz3X7X0g16V4Jyx4aJeGHjSRvfMGnz5W+CzXNAUdWSlT1EK8GmHeu6d/vnuEe3/cnWZsoPf0ef+54KOHJegogBhUEyErKyiVQJoqJwqTjZpUwq/l9kM7PzUGVz4Z4LQVFDXj1OZrKNjbxOfLw6sNqz6eRK9ULMP172WW31vez4ZduD9waW/jCmMZMwjFP0pbt7DGe7NGyfY+cUy+sKks2TOhuvqIn3Kwwuq4CWGXNMypOq5s5/VgF0YQ+qHPATIC9mZE8+T4uhkUVCR1Z0t0zRmS3o+zFhavj9D7f58qN119smtdPeUrquHVHOXyk+a76yTK5WE0w+toxOgHs8g1m6FuUe79Xy2WoZrWs3M7mjkhoSqVGJ5hU3RbzjbV1+6fd9wkS6fkMjSTJXxdVo558tY8qJ6a9KVpmc7LWoxAZZd73N7UEn0fILINvco8hxOOlSOU6WSixQypbJYHMzTV7Foq0uOhaSxLDSSdh/Msa0DTsig/7SkwmLywlPPROze8YVzLHJL3hecH8d5p4E9UaJUpUm5RCZKvCdLDElm0/cZWEPlhNQx4JLWcoSnc24LoJLmeD5CXc/7PHxLzcIIw/qutDeBXvnAe6YPNmEuSsoLsBeSXxN0ne1sKkcXVYFN1iVVxmO14qnRiKNkyo50JNEU28kvPkVQ+768pDPP6ycbYgEIYmFZpiTDyBs1lpWkStW5h6LrXw2F4YWdSky+5xZU0TxWmSltaIEeilTKmAujlmF1ccYvIq5SovbBnYnu0AzUpWSXVvhmsvXuPSKVdpTHvrU2Tpnz9c5ftynjmFh2rV+bdY8uxlbVy+A/ATn3c+bypNq32Dl9YYObVlxLHL9W+ynnrkoRXInB7KpMHcF6JVh7oX2lm5K7Hrfcud9DQ6eqzlpIlxJrMi1t6AyQcpuAHchWYrjUAX019EnObizWp/ckhu/ixLcG4YDlel7KRXSpEijiUPN5dtivuNlfR7c79OJsvSrcXo8QpHvAzEO7godZp/d4pI7xQUpndtSgBoXWEqcVDHC/ZsbgE4FzFVwF6t7FVvjDRCbSuGKlMlXHyncnPf5aZ9Ldk5x6fYGjWYNfdE2j5b2iFd92vU85/U8GpOKNTa2ZNiNF8LY39tEnlS+cBlk2g36uwrmnOFzSSKLwew5yO0EuLOdCSqPObg9nWBI+a+fqvMHH2thhXa+9xh7U2rvMWtwI9DHcwQVkH8d9h6r5GMC1NVpvWOFV5mbkkkVk0qMdL64koY49ZDK8BNvGnD4rMcffFwTJyXIDYJQSJTJB0lk4K62thWgFs4OwS0C5du5Di+uTWx28ZOBX4oq0EvWzmvDC6zYfG+mcfyUUmScsYXMJU4lM2sFQrlVpjuQ7D/awvhtpmea6F1boKEl/VUPYxWpKX/RZDp6rGN7Qg9tjI7t5hdI0U9X/plqcJlPTRLFKOJSewux0TGRObjVpDwZ37NeZXvPOA0e4/kxhxclH7+nSb/vQV1tZO+i5rvi7IgywTO2ek08z0H+13G4LTVARQ7kWlyMuSc2azoogC5zoEuMdFpcSk0cp7SaCW+6fcBnvlLn8LksqeAGVJMKwdCtNe4zmgzctgS7LUCduSVkyZ/8Is6dFFF+ZiMoKhhtgRubxYSuMdkUq12uuXOQTjB79r/xMcx5hrSKS/d509QNLQpDy2AQE7RjZkcxemFW0fAscTdkcVXT6btgYvPsoi2LsArA5rIke39Sd1MyXv7nxtqpNmPtbIiMqrB4PtFUKTf4sRzMXtHfle02ZEWWSJk5JhmTa50Qxoa7HmjyxceyakHpOYBPsHfh4AjBWDBcHKPxMoQc4eKvQ/Y4oY8DvVpjYZwNl8sUm21F4nS3KWWKkaRColKJEYo41Lz6hohXv3jIqU97hMbp8KwSigTNSOAqDjNB4mwPZ4PYbL6fKpah3FHJrhXhGNNKh2ybZy9lXoCVBZ6VVTy3DvOUfhm3VUdK5Dhxv3NSjjhNLzJ8CNyMLvdnjYHuIOXk+ZiteyTNaY3evn33+vnz65+R3ujvhZFPnARoZYuqvnIc2eT4to1MPc7ok7LEjgG8KlXGlv3qcPUC2DnQy10Gqs6JlBv1dtUOzFPxUrpOHekn3Puwzzv/aIrU6tI5kQohpNsHSJRp+XEGrzo+m7P3GLi/HtAnkj2TKfuqXDHkU6+yYixROiqFJpfOGxdGkyQG30/5uR/pcvC05t6HJMYXGWTdF4iNYkgGsEI7ZUyuRDkzO/sipReeYYNxeSKFyLR6lr4nn2xV6YYX+cUhKrKkjNmKvT4n3puUwW6EmyvtttnUW60Fnm/QTUWt1fjMnl1719XpQbt/z8MXjhw4od/R71l8T2VDKyt9jmOtYeMZxmpCprq1SNlmNp5qH6sIVBP+dhE0Vp9PJHOyGu/SFjSV7TZMprVNRZaklYSO67U8vSp45/unuO+xptuUR7p2NKSHloK6hECSbXI18f033LMG6GJIzvgwIpW1e0k10TBdWRnL16Ich1CdN1ghGbejdmXuSTV/kEu7/GcW5ucSAm158Emf9aGcWGpkMUVcVIBees+TV+c3sixNFOdVJH11YvmGXtTqSpZf+8WIuWrv6MbmGzfpVlALFDsWLC+7AXbNn/nhePjEQW3DWibVY6yKC31c7H2jymzipL03lnma1OJYGFvSK39HlmxYtQmr22FU5Yqc1Nw5i48Bu+qkVAPLrBQ2e576Ke//xBR/+aUmtqZAKIdOoRFSjvVblv2NX6djvvh+xXq72Tnf4IHbiddVQABjgeb4/MIsyMzmB9qMua01ZY2KkEijSIVGDlPefMeQZ496/MZ7NFGQlAAXAms8QrLamTxqTKtavNxhD+lWDyUp2L0MMjPWFs4Xt1npgiVTRtlFZyvHa9KEoIIfchWQ/zk7rgjy35n/HSfbLBKJRx3fKlIL+uIdCiFco7HEUvPdJNa8I72c7DrZXFtZQvKTONZMOg7+cYkz/rwaVBagrsgUVdHgUpUbIlW3t8uZu3guy6SOLGpOUj7/UMAffbrJKM2m4IvcGsyylsKOae9NU/MbZNrkd95EqjwP+9ksuMu95w0ZTeyGElorK5lNWXFWhHKFWTIrzpKG1GgCz/Ajb+hz/xM+n3/M2YW5N44UGKsJ0yzoLMYnlOn4TFNkgWVuDwpUZglWQS5FfiFkjRAChKEYgZxLu6L2ZExjuwu8DDInwV86MnkFo2N3CcIghWClIzB4BIGHNRa9MJMBPLGYNMkmrlLsWLZhPO4EmDfLNo0Pcqm4JmwMLoXYhLmr4BbW7c1YZe7icRMWr7K3TMsAU8cMQvjVP5zi6JkAq8vdkse0dy6fxoA9AWg2AXMBYTGO568jyCdHc4xnNKvFV1U9vrE2xcis4lBWWVwhUoMQGhkZLtkZ8y9/tMP9/zygN8q+jJHF50ql24vTsZH7EMLkn7kMJlXO55mOVhkrW0k+6tAFnEU1ISXQ8+Nlx2tUSrau4Gsis5n/maL0NndlJEUckqaWMBIkJsHz3HHTl+yZQSrFcNBjfW2IUrIMAscSGxPBJNUoeHwZroJ/TM6IfFYdWW1CtWmgunNXGVRWmVsVF8FGaVK6JpXdeTPPW+uYJIXf/WiLxw7UnOctc+YunRNPjMsSteHzV8A+wdy511UdurkZX29g8gnnpGyAoCxmsq6YaUO1oXAMXgSdRjqQpxIjsnuaSRVjuPHKmJ96S4f/8OFpojSjWkoNkaIITSXolODlFiK2lCgZzdrsArYZYxdsLkvWlqIK9OzfrgJ8jK2rnDBpRYsxCSOwRcd+KkEkeaO8IWhM0wjaJGmKvvWlr8WvNTl78imeevTTIIKyc+d55EcO4oKTqqQ1qbcnLgSZD2TMQT0xOL3qnow7J5uwdyZHZFWWjN2zwLKW8oUHAt770Radoec8wMzzRrgVzDknZdayWspb1eHlaLZNZhCOhWWieD0G6U1YewPex4BuqSaAStbOp8LaDPxVqeJsxFQqpDWuXiVRtGuGH3vrgEeeCbjrawoaCUXhCI55EiMZkQMqq5wyFS2enWSX7KEAuhWiyHTarKE4B7wogF4hSis2BfhmeMoJdRzgJdPnWDQWBsOI173uJl588/V0uj10swmeL5hpp8xPjxhGmiQVRTXh5NVV/WXVN8c+zAb5Um5IVI5ZqBYtVepQMmC7LaNLYJda3BQsPcbcygFdVqoEpUyQOuHAcc1//kibwyu+s4ZERXtnFYOeyCXZeDJnszknG15XAqbJY7HhJiqsXQX5hO4uqwwrZamTHnkF7EUhljXFprIilyrCOqkSW/bNJvzD7+lxfFFz6IzA6qrAEiA90gzkTIA8ly822/UBYysAzz5rsZJl4B8D90SysIhlxYZjJzY7ZhtwmP2u7MepgeWOZRBJjNSkaLQQMUIkCBkiZZRZVpV9FsX4svp85y3/ofvj4xNDxzYkEhXGrmjwjS5KqbmrsqTK3tVkTs7meWODlAl+kLDYEfzqe9p8/O4G1lNlOv7rsHdZ970xJT/JIJNJnUnZRuXPTZB4hbI3vrexJqWqw3NA2yLDaXMdnjG4FPnzLPgUhiQ1eNK5Kp1Q8rO/pTi/LiCo0K0VWDSJlYwqGnwM5CJ3UJw8Ubk8yYEuRFaDMq63q0AfD8TtBLAnUCY2O3CV453/2EKKxVQuMH1h1afZqi8eO9v43Pn13a9tBV18P/83bXn15L+lEgQ9H9zHt46rMvr4/i2TQaUQVUBPyBLhNLdjcFPq7CxTKWWKVEn23NWaRBg++dUmX3iokdWaqALY4+xd3aalkoqvPrLxxBRBdwXYG87N1zk5VbkypsEp/V5rMudirD7Flb06l0NkjC0QIkv8ZM6KlJWaFSkRWcVhoC2vedGIN75kwJ98RhElwqVtCxZ3F00ixQaQW+NcFovN7EIyHW7z3VGyQDObgCVLpFiy0pYNAC+Dz80OVvVtu9kxLM6R4ZZrFrhsp/7c7q3BYsMbon77t3+X73/Ly9Z9X68HOv4BE52lVhOuI32ssGncxlNyIjgU4wHppPtS/ftFZ87Ev1vWllRqu3M7sFIOO8bclY74QnfrhFQaPvHlOv/mD6Y4di7ImhjKhI6rOREEEmrSDbLX2Ri4fLb4xuFCuX1YDuYvptwKV65ZbKsixof0u0ldcjxxkzt1k/dqQFutQS/er9iXWfNAHts839jiHElCAMYy20656tKYUxcUh05qt8nqZEsWzlI0VOOLcu5idcIK1ecb9MVGObYBwJtIsKLYzJRd88Y6mz41kKaQFJvYQhTFXHHZJUy1p//Px5888sAr73iF26Nn+/wKUgW05SprYoClnm1SKsYCHGddle/ly4ItGH78k7sdvqoyxY6doEKOTEiTcj90U3ldlShp8VxWAsr80fNSji1L3vsXTQ4eDqClCrekSOxIWUiTos+SCmhyALERLGPAyU+8GA8oJ2tR8qW4esInkz2Otc1Ewmci2KR8nafvpQBj3K7DuTcuMn0uRKnDpci78jVxaLnykoQfeVOPh57yOb6Um9j5R3Rf3lpNgmCUVVPZTLLmjO2moGXsnf99YwuDhux7SZvrcVuw9ebx3UbbtIozgxi/CCjjkc5Acvh8QvNcxHBU2YRqYduVSN2kUesg08cZDCVJqjAm28+lKPSp7Mg11la12fJRneRf3VIj/5JVDW7YWINiKIPL7LkYB3fuoEiZooSTJlqnrPYEv/0nbe55vF5WCRbALqWJLybb0couHSWqjLkxuHxeq3CSwL6Bmx07oxN1KcWjKM6FFbaUKSLrhxzzxp3VmwqLMM66zG1DIZS7jIQhHRjuuDHkH729y7/9Q8naMPscMhPUmTyxUpEYwSj74qKixUur0KIc1WfFYaVtmGtvmYFdWMqegdKY2XBMqrU5psrolec56YYJrMaSXXt3c9st19LpDkuA+41dCO+Su/7yL+9657Sa/dkrd42yrFJaROfjg2gqfYJVkI9xVAXkY7p70kWp7n1e0d+itATlJsydZyhz5s4TOiNh+f2PtXjPR1v0xrKVpe4Wwo0Z9mQ5CqKYq804iCfLEsgzbpuwj/u+Fer6BpA+2V1fdVHGNPlYwDm+cassgk4K5pZCugsBdzyNsaRCZoG1dbsBp5aWF/OOt/Y4v6L4nT9pM6yuQ1IU87OtzJjcuPdNNozTZmytsu1KrMiKsIS7EPPMp8y+Q66C8srCol3OTrB3flFPypTCPaqAHQhjyyuulbxgz8l3vua277/riefOuK8AIP19fOIj/27Q1ubYTHMKrCXw47G778V4XpJt9ZEnWarBYKnHCwAXbFytZ6kw9WSipkjNl5pbPo8skWPZygSpEvAMzx7x+NO7GnTjbINMqkGlcgAnkyZjNSaTn3Mc7GPPqwHSJgHTmKf7DSC9bFeb0KMuizC2cpYXQaUpuej6kSWL5zUrVlaISWErc1WsUSSxpqUt3/+aPlddFiLTFGx2NwnYpHhtrSWxMDIQWUFsILGCxGRa2OZD+zO9XHQelfp5w92MO0Pjn9/9vSSF2ECUCsJEMEpgmAgG2X2YuOMbhU0OHIiO/Z8/928GN1yxq2RwgNvveC1CNRgu30nUOYCQ9axTubLDQJqngG0BFEwWyVdPcH5aRemoyEkNnrH1mA4XVTliJ3R25bkq0/C5Btee4ckjHj/1zhmeOhQ4S1BUXRNVsLcvS99bV9j7+XsuN5ckY4kdQeVVSe3fkFyx40+fP+jKGc26IZdinM1lltF0W+05HS6yFVgYF4QWMiVncWEhNFx/acy7fnadd/w7kc1Dz2mXSiIILIoEUbonZGl6ck0+/pWsKW3D4lDZCeLY5JDkMiS/WBLjLqg4FUQGYitIrLvAjIVoFPGaiy/lLW95Beu9Eb/1zn81DvDF7jxKtzh9JmC7N2TrnCBKZMEMSSpJEk2c+50IyLzZFFc8405M6feMVxGWFqGUxoF9rLCq1NyySPJsAu6c8UWKEi6ho72UnhX83sebPP5sQKocmAvmlnnWUjppkrliiq/D3lkQPB5UToyFGAN75aKejJqeD9cTwK4i3Fb7NMferzK73SBZZDYJK99MwGa+eJ5YKcCeA904etKp5carQv7Bm/r83H/w6KXZZ8/b4zcDOUCW2ndawGZbcZZio/he+TQgW9qu+c+rx7MqyXKWT6xj8DB1bD0wgsjYTK4YbAJz9QG3XGO55boZ1rv94rgWAA+jBsq0DgsWjnj+3L5GsEyrkc1fTjWD0GMUBsB4SrjMJIkiyZOf6ML3hkrGMmfqqoypet85gO0EuHMpkyJFyd7aSxmk8N6PN/nIF5qEOZilrjgnzo+TGbg9YalOqNo0a/l8DgrlGSmDo4oFt+H218mTSfYWBTQmdbiBYpRxNfiStgR87pzIDPDCCoSRCGFcsOlM9ew9iyBj89TiC8v3vHrA/hOa936sRT/GHbC8z6z4EBtBbqmg1lhXbSgnvmEWIOf/VH58C5RviEfKftTECIapoJNAGKfYKHY+YXbVL2ydZW5qyxHhNQ/PtMrfWQD8BVfvIFz+489dNu9/wPSn/+WJM6d46liNOIbZdsSt14Rombo91BNFLErbZNIg/EbAnQeSYsIOVIU8STdo8CKhkwWWWif0InjvnU3+3R+2ubDmuTkgohJYVjKWOXsr4caRjXfoVAqCqsFlfiIYB/kGTV6RJO4+OZ/w+RFeBfLYe8VLUalPocLWZeJHmIyx2eS9vNXNuHptZ0aq0gAwEoEmSS3b5hJ+4Ue7YAV/9MkWvTg7YHnCR1IAvgpym/9cVCzCTJ5oWd0jyKFFVr5fDqDNDlfuriYGBokgDCN8urzshi5zrYQ4lTz0rKLd3MGRC60P/PK77v3cL/30d24EuAOmxJvyP/WHn2h818c+t+OG+5/RRMZjftrwlpd3ecvtI67YFTMIa+W+6tkSOZlrLuvFK0FnJkuq1qD4bwR31e+WgeUvv9jg197TZjEHt5zMVqoxW1ALu2GAfTEbka/D3BWf+/n8W1F987/FK6w4UIXdOiFVCmYb88WzQDPLdm4EtZhgcVtYiMJmd6OK1xhFHFq2z6T8wo91WOlKPnBnC2ppBuzs8+bPM5DH+apTDcQqmjvN5InFyUKTpYiqg3s2lDtkjovr8XQXShin3LBvhR+4Y5k3vTxifsqQmpQHD9TYf7r7eCIan6oF3bFDq6ov/s07/5xIX3xytVO75cLa8KYDp5vEdprBsMnX9rdAprzi+oTBsEkYeSSpyirasgb+CqNNOiZl5WB2Vxb1PwBuVTMcPqv59fdO8dj+GgS5x53PFcyaiKUqAkvne1eylYVUyfb5EZs3OriLYGLPoLHX5WZZIv9ZpoGLjbVk5VFWLqr8XjSWlFWMQoiN46Zl/rNyQFK1t3FDOUEFNBvGe1SvwzxodkKdqSlDvWa5/0mP1bXsIGxWXZc9mgzkMvtlYpIAJv9qjhdRIQxR/azjxyexgsiE/NO3LPHj3w413UIRICWcutDAE/N3zshnfvenfvQfjwF8OvRw8AAAMJpJREFUjMEB3vHd29FK8L5PL/HoYUVdCpqeJTE+zx1d4AsPhVy+q04YyUw6TTYd27EvNZ5erjQSF/IkH2ppMyAb54dXwS2qrkmC8g1Hzmr+1bumufuRGtRkydqydExydBSBZV4mIMpkzmYzvjfMIJQVqTIpU6pXNdX3N2p3ISrSo6Kl89Nuc6ZmUqLk1mApUUr9bQv/Wz5PUZbIbUSRs3fG6NiCvY3JJEvmtqSjhFe9cMSv/FSHX3zXFEfP4ZwVIOsorjC5OzopgjBn8oomF1hSK4pvUxyLihQriL84XuWsFC/D1c2XJ1y1c4bDJ2ukRlAPEqT0ePLIFOcH12Re3vhtA8BN++9hPRUdPZOytXaIuVZKIxDUfcncTJv17hSLKym+TotakrKsFSoVM+RSZUM1odyovXMWz63CgslFXh1Y2oHHL2j+9X+e4iN3NYhE1hVPNaFTgnwssBRlUqfKdpNNDWOMUmGV8QKyKvM9v901QVslYideVhM+1T+zIdmTAyx7kctDa22W5XSZTZHJFbdBlCjki80SQLZqHxYgt7hxQAqwBNrytm8bkhr4xd+d5sQF4dCWgzv/rAaQGoskyc3SfL5ONmdE2LJjJ283q26KVSXFPC4qZKSC6YZh2m/x7JE5LsxYGjVDo5bQbii+8/ZLWNj3usiahP/nl/4agEd2GzMzjX/+shfsu9p2zt1h0hGNuqJRU0y3FALoDqARQOC5rUHy+QEis7BEdtWWYJiQJ2PNDaUF6GrAK8kcUWVwl4Y/cUHxc/9pio9+vkEks51fN/jdueedgVtOlsE+T9UgE8FmlYkrz6uuSdVVGc/2/PffqqOUq5Zs8bMJwOcMvtlk2pzFqfjijr0zAiJ3U3IuzSahCEuSgkfC9792iFbw878zzYklP8d/hb1FBeSKOAerzdL6EmR2UeTDe3Kg533O5WEswa2yAjhfC+qBC5TPLgkGI0WzDjVfMTc9xdyu/3973x1vx1Hf+53ZdvqtukVX5Uq6qpYsgeUi4yaDbQw8TB7FKfAIocQPwgOHkED4PEoCGIc8yksgAR6hOHmJAyZ87GCK7SS4F1xwlWXJsqwuXV3des7ZMjPvj5nZndlz7lVxkSFvPp979+yetmf3u7/9zvfXTv35wLzFfwxMtBzLFoCvWVLGT35289RQf3nrosHSOUkknEJA4bkEgS8VEMYJYkZTiy0BoTI+tFRoJDmkBzO13txw0csYE5pOPDW4s0Aq6alk2HeE4mNfreEHN5cQOQa42/4RY2IJuwMwzARqO5k6H1CXV0raWevssbCdP8eN7FYLjpwFl0c0oyhE0RQZiKQPPbGUFAmqTElJaYoqIqQnoFCfx0VGVRIIuGB40ysbSBjBn/xVB/YfUb/amGwCyKkral8gQU6oBDZTIks7cJucXFd2cB2iypcAjAtM1xNEiYOJaQLPJYhYgQ2H1a2/uOfnU6efdcHRAa6/LEnq710zUj49rE9vcGiCOKGIYjnpEQKqzbTWxFW7Zz0ttkDRxoVvcG5CbJd8FjhlgpuDecD/uaGC7/+s3Apu2gpuqieURAdTtfdY2iAWttU2FRSTkuT/UpBnV8bxGPJ8sJoVe4JM+mv5S19H7Mfa22lw8eyCIIaSokEO3fFXURSlj0OhlAEuGN58cR1bn3Fx9beqmQbeAnLIWBVQxFxNniElTSb0x2VWXFelMomKOenWtXgIkb+p0eSYmGaIEgl+uO4jY0em39vdVW17bGm7jZdc/CoMD9TZKasHxbJFY1g0fwyd1TADN7c7D6SxFDCCrQgyK07aqCg0z79ZTutWIHc4iCdw051FXHtTCWEqA7q5P72dZNREgxsmHWlNpKbIFAzTyWMV10QezMhsNckpAjljMSe49XIWjm4HYxED9JJ2aMttOX945gSyCuibFMaoTivjQSi4cLJmV9wBU10kZM1KCp8JXH5RHa/c1ABhCcCZqi3H5GNh/nHpQhdArLyRTO1Tur+wL9h2dJCaRgZyfjFe59gxGmPH4QTdfYvEkztn2BltrDcwiwUHgEUjm9AMG9f++K4HVzyze7TcE3BUiwTFQCYA6Agvy0EBcydFOks3+XZGT3LeSSN5OCv1wEBd4F/vKOKP/6oDT+wIDDnQxWyxJp5BTXSlrbQMG3JAN/Y3H2RlAtRKHLA4dyuQCVq3tQV3zo1plXAzwa904NT9nY9PScs1mAnKwlpmsSkAOJGWmnCLuqScHLIcA7hj/A5pcdcujfGFD07gwxS48Y6SqgSnzFp+8gmACYoI0ttKuKwjSCHAFGWxIlHNOxnRsiVU8ojk4oXAxYL5EUqVGRTL82Yuuej0a4OgiA/McoydWbbjqs99CV2LL31gfKb/nbfctr+DChflggPfo7IwkAPVJjvfMydLEM4qUBn1BGepSiWfTxRFUeD2Ba6/vYiPfqUDjz8TAL7OqTRjvE31RB6IQAVT6XDYNB3N6BrRWnpulnWa9fTU9feyOwBJt5F0afRvJ7pVeaaDp+/R+nZaMwb29xj6um3JNGXKKvJadEkndeuLNL1oiXWxZrozsQBsX6TEWpfqiEBfD8P6FQl2HaDY+oyykTR3aRtfon0kWQsV+xiY6yktIaoUngNZc9ClKAQOOiseVi4iOH15gvPPOmN/Z2HsbUOLN8WYZcxqwQHgsgtXYmJyCtP7HgRnTW1oWjkqzTyUSK2jsFz0mWve5tuU2LEl2nITF7j+9iL+9CsdeOxpBe4Wrm2DmypnjlnfpCWBGAaIANtq53+XeXJNUOSez3s1TYjMOkT2EtHylKmgyM8ya6SkcSqaslgufDXJBFK5UG4za6yQjItTrlQWqqy7cRHoWSuHebMCogRrl0T47PsmIQD86PaSjSYjMAtcJkzEQt09hfmXhRvk6YpQvzINUzDOwaEjDjiGMLhyPYjXnnvrQed6cvGiwdB16BWD84dmKAE8lxiFL7XTpLW8WQpqU+c24k7MGPAU2AbI4QjceFcBH/3rDjy2Q4PbDJ7K0xMT3GitKWiCOh8xSHIANu1Qjq7Y0CU2sC1raNCZo4w8xctFPNjKit5kyA82IDQv15PO7AIwE1esmOu0kJCKE2+JJacQuvms6urGmQsWOVi3JMbVfzCJS89uSA7OdPy4+uNMPebgHAiFDHNlJh83q3VBuvHteHGoagECCROIE7nsH+ifEYReUa4NhicM8NHDE3x4yeL7Xn3ReZOloo9iABQDAd8T8Nysq4KZV9lSBoLoVLMM3Hb6mZpcquL0cAV+cncBH/5yBx5/OpgjvkRbb6nsaN5tW+/2WTmty5wL27ytW9szwp1eCHmQt8N0blsO060vFK2vS623sIGb8vUWlSWvi5uAsmsdWokGCtBZw1mVuihk+3CuQM6YiySiWDMc4/MfmMCrNzXgcCYj/ERiJEvoxxxMTTojbiZF6CwdNafjWsjQyQ4CMQOiWCAMGRrNBFx4WLX2vMn58xffFzXHOeYYcwJ8aHAe5vV0jvoue9M5m9bGHeUI1RJDKWDwPQbPMTLjrcmkqZIYhXysCaXxpyrACkfg3+4v4g+/1Ikndhq0JG+506pUJK08la9KZWXrUFg0haCNO76NVTfjI1L8Gs/JRYumYuP56Ea8BfmmZ9PAe8sElKegt0Frh9O2rqcWmhvWOwW5Yck5NZQWbcmdFOScuWAhxepFMb74wQlcsLEBhyeGomICnQFcqGSFTFXJrLlpueVjnTUfJQKNUGC6wTE6HmJgwcp4ajp5kxfURsvVvjkP6ZwA93wfY6O7MDw8vGfd2pGnlyz00V1roFKKUfClF9OxgGxUo9LWW08gcxWpzDIP2nLffF8R7//LDmzdqSy34x4TuGfl3bApFGkDaCss1rLyNt3Iqyp6ewsfP8GRV06AvNXOwK/lwax+Ngwqorm5AXZzneetuklTTKtuglwB2rLkrqIsLnjkYMXCGH/9RxN45RkNOCyRdIUbFpxLkAshpBVXqW7aeqcpbXqbWiYJEMbAdChwaIIjZGXMXzDy9OD8hXu2bd8Jz5tzGjk3wAGAUorDe/9jp+c03714yWJ0VcdRLUVwXZYVrqd5y230zjGK9MjSxyrUlcjSaq4vwX3LL4r44Bc6sHVXAOHnrbZRKFNl5hCaeSp9IrI471z5BwvosC20ZYln22YAe05AG/REkNanZgO1BnK7+BQb/MQOpzXWrQsCBgeHlhFNSqOArJ8T1GhRSI0lzYHc4OBpl2VXURgHLHSwfEGML105js0b66AsAWLDkos45eOJ4uORAGIugS5BTgxwZ4nFSQJMNQj2TiQYWbUCU/Xk3df96M6dlB4VvnOrKADQ1bMAM/UZlIqlfU9uYbfF5L5zAzfCTNOHFettWG8rG57YThztnXSdBF4QY9cYxV0PF/DJr9ewdacGdz5pwQyikrzYQXvLnXFv0aqSECPmmxjcO0dJzPlhBmyz7kl7ky11f5p7/7HbdhvwmVpimneponA7IlGDlcg359UIO1ZFfipXbnUiRHpRcA7J58zWJRRQRU+yeHCdHm/8ckoIEBGsXJTgf//hBD7xdYF7Hi7i2cMAfJG+DpAHP+YUIWSlWkeFVVAiva8Oz7LxASnV1kOGoaESXnn+8tsuOue8fc2wjmKhfNRj6hz1FQA++5nP4uLXXjwWi9rU6BHvLXt2H4TnunafSqMvpesYHYYdpqx91uXMdRL4hRjb9jn47Ddq+PK1VTx70IfwNCXxDIudAzeVunYa2030n+5lmVluR/HvNDVNR6e1i8W2dFmlQeuIW6VJm4/zWrXWwgmRzm5i6N6Z1putt/B/mr/45pgfWNuJAkGbSXJ+Yt1mMm3OkFu8tiTbngFUR9xk66ripnzMCXq7GC7YGGFggGHLNgdjRxxkDTdJ+ifUheHou6xZ1UvRTxlsBfRUE/zO6zfgzPUL/2jfvu23Dw4uPyajcVQLrkdH5zIUS5X7ZqbYD8PpqTfEyXZ4rszMyKy2XWpNd12gutuCk8B14hTcn/paDdfdXEaTu22kQJNvy6QxSpFWo2qnlqSRiy2TSzNaMKecGFbdVEssCw7AKkJqnvAcSKzncxPUdkPojxXtXyTaPDYttH6fVg41lbG0b5Kz4ulnZJZcfjAFOFdGXCYs6wI9lBAIyiG4fKwBKgQgKE0lSoBAxAT9nQneeuk0Ap/jU1/txPZ9gSzySdTrVImJJifZeeQkjRnSsqF04HKcuWE5zt649odDC5ffJ+IpHOs4OolRY+2KAXQVJneefebGD6xYEtwQBIHsiaIyZLJelYbbXRegp7I3pevE8IMY2/c5+OTXarjulgqa1AMKul6gkY2jH6ukBUdbbYNzZ5ZbtLXMBFDdfA0rmbdq5o80rJe5lPhuLc127GrJ8U1BW7k1UagkloSoeXjGp0lGZyByyopdW6WdZCjMGiWpTEgsJcX805xcyoaSkzPmgTEPYdODzynevLmBT1wxjqXzm0AUAywGeATwGOAMCQeanCBSZSEYlwnGiaqrAggUikXURecNIyvP+sDOZ+s7qb/w+Qc4AHT3zsf+3fc82zVw5qNecQhAAs9l8FzdHjvrk+PqBAVtuV1puZ855OATf9uB799cQZN4MlmBeICjQE30X1aFyiNAgQCB7nqW49wZuPOtR9qnaLVtmpVTT1ouglkmmNat+rlKKXMAPS8VmsqKFYlo6uDGB2VWW09CSVs1JZ1oclM2zEDP0iCsDOR6mXAHCXPBmAvGPcSRB18QvOVVDXzyinEsnhdKSYQlKciFYIg4EHKCOK19Iov8SP2bYfnSQVx64WmP3vLze58dXjz/uI7hMVMUPbzCQhQq86/uH3h6aTy5+3LfOQjX1Tp4VvnV1W37nBiuF4MjwZ2Pevib66r43i2VLBMnbcCadVzQuUpa39Yat0lJCAwwtwH37KGvBhZN0BvreYrREhKbf978sz7gGBBM8uCVfENHHqdG2wAx9ITSctkrN31KU4zJJsnahqioWF2iJM3uAdQcUk00KbiKHZfrsqmUCscQRBUd4qBUgl8vBaFpsK2gkq54boy3XNgE+Di++oMKHnxSIEw7uRGZ6qZ6JLlEXoQxBxqRwMiCHiwdXnztuZs2XL179+7jhevxWXAAGBoawuTeGyeKlZW/N9A3c3ulMoWiH2aOHe2KV+D2vBgxifGdHxfwhj/uxbW3VBE5PuD5AA0UFfENoNM0lrugShv7VKhk4cxyZ70rhWXJifHDWvi3glE+1iS1zjkwm2pIPnLQvCjy40QMeUuiQ+5CsFUTYbzUvkIsOgNDCzfd/gKZdMizwpapS9+QClNdPEdXUtc9yzybXEuITNYhT5iLhHmI4gA08fCWC5u4/urDePtrJlFGCCShsuQJEiGUG58gEQQTETDFOWbg3r5h9fDvfecffzKxcOGiFx7gALBk9WsxETbre5N3RPc+1YeEcVmNVhBVc1DWLCkUI0Qkxnf+tYSP/m0XDk0VEDsB4CpwO74Ct7TelBJ4VBaELWpwEzMrR9UsJ7lYk9wkMp9jibwaAbSnJ2gPehOyFuBnA/mJIFxPNGGqgsTCu2XBDcCm9CO9hPMxKhlPT0EPtKUqNsiJwb0JWKqL54DOJNAloDVFkcsk8ZAwD3HiA4mHngpw1RUTePvrFMibEuScS1c+VVTUIQledxbir/zpeY+Va9P13/3t15wIVI+fougx2L8GQvB7ef2iTbsO3losBw3UKg2ACPhujMALseMgx/W3l3HVt7swPhNklV7TCaSMJdFSkU+zopgOYLndW5MQhC2rGeBuF0xlYNaSxyx6YiYuGDjNr6fvbCXj2So5DpyLObabNEWDkgjzaUuJScFtUhsNaJKpKvq1shNEfheEql2ifoNQ4blCQFAjzl8I2UGNCqOkM5V3c8HhcAJOuYxtcWjK8TuKCT71rkkErsANt3FsG6UA8SBcBy4V6ChwLBsIcPq6lz/5yJNj7ztzQ/+JwvTEAT5/oIJmI/xY9ZSLxT23HrxypvFQoVYBAi9GqdDEfU8Cn/pmF37+SBkhVx0W0polmopkZYytWBLkK79mgEmrZVmgziaP7eJLzIuinWcyxWc7ukFan7Mtfq4gUA6veQ05hVAOuBrIeWBnb5DcPJWeUzoiFEsxUEtI+gWCSLkwlRKBlHMLACBZPidtdwCEjH5NL3ZG0vkN1yEZQkAQDkIATrgMg1X9O6ngkqsLKvt5UpkhVCsk+PTvT+Pis0N86psMdz/hIHZciIDApwnO3rCsefllr7mhVCqKUql0wgA/JkfPbOPTn/m0+I3Lzr2tWHCdcmFmU614wOmuTeG+rRwf+dsu/PuDnWC0CLgB4GhK4oJSCpcSBI7k2YHi2J4uykMU33YU0A1HjHbeaMeG1eKvLV1pA/i2bUJyCQZWK5CssI+VQtWybHX6ZNvzr7cvQMyy35ZOP8s6AWmlYNogqLpzLZ3gSLbdvgTTmYpx25Afkm3TV5lNcbLXkNxzMlALSlvnQvbvdByKFQsTrFzQxJM7gWcPFECpi/UrBqN1qxdeffDAgT/fsH5t8lwwesIWXI/BrvGIk77PBaQjGhsVf/btf3Lpv9w5Dw9trwElT9XTpelJzqhIBmQKowC9CVjkThgxDn/uZOVfY1ETw3rnKUtbp0x+2zE+l67PdjuYaxhOG72qH1jyNtozGksPN2qNaKOfz2LXBejTSgggWcaZyC6AtFB95nVRx1C3ItHrXNU60cF2FIRzUEpBuQzd4JRKpY07SKhAnHCEYYCNK2J88f1T+N6tMW78xRJe6+3/s57uvi/s2D8ePVd8nsh0qGU889Q16OsOTrnx9n2/fPvHH3KipAy/4EDXDYc6cCaoXQPI+QkjkLNUAGDIfnla0cKV21m9vJWnOfewss6OctenS2KWWiNpSlWapkaJem1Wlo3mHhOiG1LlUuByKXLZ3clwXNHsDpam3Bltz2VnDN1jVL/ejslv6WSnXtdSlAnZEgYVTMFi1JtE+lxW8x1ET/DNSgp25eC0dAiyeTWBQCFI0AjruPPZy9iB6ZXrA3f6sff85hufMzafswUHgCZWothdfcotDr33d1/f+Tf/dusvKOMcTUYQMpLqs+0CokxakYHS5tlHmc/lTkIbzmzYvHSzyL/GuCOYryWtz7f93jn270SHqXFrdpBNIiU8ZFyIsKyzycPNfZSWWb1PGPtvhIkIg/i3RA8Im8Rk0qpQWWo68UXfMTkoke7+1JoTmRtAoPTuxEEUu2CcYmDBJXzz6Wve+9TBZU/1lg8+L8fweQH4quVn4J4Hn4ouu+jsbz791DOlmTXdX9yy7QAmQi+NUbaqSVGpkpiu89SljoyTtoDKOhHZZnMeZ71nlgskfVMbJJJZttvfRdo+MSvIjwPxbSJnrZ9uBGjktqGF5sin7GZ/1ss1n9ZeIGSTWDMlbs4joWJ0NG3hBFk5OEKMuwZRVEUWGqJE7n8U+zg05gHeApDx7g+dunzzN/3CVtbRc/qxH7Q5xvMCcAA482XLsWfvfvaO337d9vvvf2Dqmu/9rHrHExNoMBcFRyklOn6cGIoH8kpIzpKS7GSIHIJmP/g5mQ+wTnqL7EfQap2N7847hSzLntundvS7Bd9zBFaRvIJi8XKNYuM5e4th9XnG3dXnmXcvgazHe7ZZlXLI7bnIf48RBmDSFLObR7pUFbLMtpCOI/MDXCdBFAMTjUEML7pwavma9dvHjxxkXT0r8XyN5w3gAFApFxFHzRvOOvP093XUoi8t/vcfdH/t+hg8KcL3pVLSLj/S1LPN254+xJa0ZcZd6KUZeTbHyFtnAdv7aZ/WPFhJ60UzyxDWO1rfMFuEYP5DRX4lnXAaOrh2z5uTy3YXkBF1OOtx0s6idCKql+axJ5beTtSBTe+cKfdGGokogQ4QRVdcwRB4DDPNOm765SA2rN88tmzFhg+OHZ6+obPr6DHexzOeV4B3dHSoA3H4mo2nn+1yOnX1T+++Z97ogQZKnpxctkwMkfHu2aiJSKPjlDsZZE7rfbRBZtnQSitMAt7uA/RtWkFZXWXPFwdvp6Do7xU5fj3bLyUZCtUmtU7mOIB5vdzwcGalKwyKY9BLe6LZaqgIEXAZlYF5fh9WrXvdoWUrL/iTPaPRNauXDj5fRy4dzyvA08NKevDU7qlvzRu6lG4+o3HVrT+/e57nSB7GhG2FLYrSjncje70OFCJCdfmdA+jm56dSmV7PW239BJndMrc4hZCjLvn9PlZTn7OqbTl43iKn6+pXmZ7MXACX/SbRsltHu0ayHE2kVWrTkn3pl+gLHRn3JhkPT8+hzvuEQCN0MTyy8dBlZ57/UWDqW4T04IUYz8nRM9f4qy9chVPXn/lgV9k7VHCj8+LmVJELQ5aDLdnpIouuAziOlNVa4rvbTQANPpjdrnMKDMmW7ZwspgPG7rJGrO9Os3wIyXVgMJw4NO/kaffYoGPmfsDYF2S/oSWGPZ2Yz/57TIVK/pY2rzGqYGmrbvYVSsNlBYzYFBWfwmi6bjYG5qnQrucCcluSUFnANaEYPeLCLy4eq3Qs/PCRg7u+1TvwshcKhicWbHWs453/7TIU/ei7q1YufH/v0MKpmDEUfSLr1RsnT5bnkoWFPJfAc6D+iCqfq0p4aQ2aosV6pvSF24FGKa/MvXau0Tb2JJ31ZTpKO6Wk3R3oWIZ5V2t5Dq3W0gqftUx2+y83YGtNqjMjYDfjso+rBDBjqp0kI0gYQaxAm/7F2eOEy3qH+hzECUUjdCF4goULe6f88oL37znAvrvi1Ncf/8E6jvGCUBRzPLKXc0aL1/b0DSa9Ffqd/Xt3FXYdkskdDhVwXMClsga0q8BrnIpUZuScSK1V5TIJYuTAIgN1fhjtGVM+a9IVfZZn4+X2ZMHcRrL5grEJyLx/ctMxor0dBcktNVhmU2GQ+4j0ow3FR+5rFjCV58r63URkJ4IL3cGYgDHDauuwW2SqDCUCriMgwJUTTHYCCWOKXfsEhpcsbc6fX37X/P7J66amBccLPF5QCw4AV3/4t7BhkDGPLL/u0vM63vrqzV3NaRZhtAFEiSp1rBJLfY/A9wgCj8B3CXzHtOaKvugmTgpVuqaGLCBjVEkSWbfclH0ey8S0jcRngRhzW2/AsODHgu1UqciWAmhRi0ypLuXpwn7umEaOzlCr5Ef+T32nSh9LmGx8IK00UZSDIIxl7fgwoghjB2FMkagmwr7L0FGZBqGHMc66mjsP9751ZHj9dfc+2ssGRq54PqHWdrxgHNwcP7jue7jh2+vFyKnRFjfpfnJogL926+4j3uSEj86yQDGgKAQa2BSuq9zfNKtGqgOZtCTGhExtSnQZsHTiQ6yJmsllLU4Lm/uaVWPN4KuMv2aueZOftwRd0XzQVbugLHtOofcJQAunbuHdue12UFZ28Wcu+YxvZ6EBuSpkhvtePwb0XZEqUDuSeigLnnCKJCFINOBjgiSRFl6o/FXHFeiqRnj6YAOP7jsVXnHZOz708W3/PEUifsU73vpiQO+Fpyh61Ib+B/Zs+ZZY+bInv/d3/3eJOzzg/008eaDDd4FSQFAIKFyHpJNEpootJok88LIIDAFhMjUrYnI9ZrJ/uc7CpgQyXJMAUA1IiWnp2spu7QbJrB1yE1zDMlvW2pQIj4FCkNnWZ6EogEHF8t7MWb/F7L9jUJJcXIop7QHyGIIACeMQ3JWTxJjKY63OBeNQICdIGNJyKa4rn3McjumGh4F5S0dPOf2yI/MG1jzze78Tib6u4MWC3YsHcAAYWvUOfPHr38D05OA/nra211u7bPgLz+zY0sPjaRQLHhwFcM4EopgjjGSpL8J1W2g5EaVEoN4E6iHBTCwzsAGJAV3s3qGAy4k8kVpdQZareCz0geQeWcU4YXNbACkQ54pZSccsCE/jxHMauC5mb8wx0yjArDeSfedKH7TcFXRt8axuu1mRjKgP8xwGSoB600cjpGiEVEUMIk2WiBOCRkgQqZKEUKJBvQGUSl3oGlh2uFQOPjR+19nfXfRb4yRx/BcTci8uwAHgyve8GwBweGz8u67ruvfee8/nHrr/9nnNxgyok6WWTDcowlhAcC7DbFM1hYAVBepJgiOHExypuwClshgQBQIhJ6uACvoR0tlh9niHCUgLDQYmchY7z8PzrnpC2gN5LkUl71W0Ma9g1BJbgjTRQV8I+ayf2YY5qaSwO2/IqghmQwJZIWG67uGZfQEOjbtgTILXc4TMF1ctbWYaAtMNlu43Zwm6OjuwePl5h1acevpHWMK+u+yUCeBt5HhmC8/LeNEBrkdPdyfCZuPvzj/3FaS3k1617fGb5u3c00QhcFErc3AR4b7HGA7VKWolAs8jKAUOigUH1bLAqauaWHfkEP75Fg/b99dAiwECh4I7QCB0t7OsfJtsmmpP5tp6J9tY30wn1tuIvTS8hMfUn77N0HEottXOWfP0AhUWzbJ9ha0jPzkmujmBLozq6EoIHJ4rE8Vr5SZ2HOD4+5u7sG8f0FFIUCm5KBUISgXA8wQ6ygz1ZoJtewQ4AyoFAhCBhFbwqjNecejUDWd+NE7wd5VK5eSADCcR4AAQFIoIm/VvrlpzWtJVC784dtMDXbXCKBb2z2DvkUlsP1hE0qygWhLwXCJ7dVaBvm6OVYsZ3jgQYem8CXzmH2M8M9qNplcAAU1T3hwlJabgVqe55VaPzGqbSoglIxJiTfzMSWEmM8qV9P8xYN2Mo0mvuZRuGKGyArJUA0SWqqZpiymtGBexdf0acSE0Fy/iEFVyz03gezGKQQO7DkX4/D9147pb+7G028HqoRiMCQAePIcARYFaOUGxdAi3POJh/74qFs8jWLd6AMvXnX1k01kv/7AQ/DsnE9zAiyATHm0EhRJ837+md/DMty9YtPTKU09dG3dXp7B3LMTju1zIzscEgUdRLBBUSwLVIgNjQJQEuPziGG979TgqTh0iSRByVZpXabdc5CwiWoO18sO0wlnOpZidntibT2jky0aYFWe5+VwOz3IzadmW21VLjdGcPKUoRrGmwEuQ8Bj/8JMC/uGnPXAdD54jMNPkmG4w1JsMYawcahBYuShCV2eIfRMM69afFq9cPnLlpZs3vr1ULl9zssENnGQLrofjFvj0kcdvuPSSV/ljh7bWk3r0Vf7Le4jnOLToA4EvGxCViwLlIkOpEMP3JMgLPsVQT4KARphOZPX/UBAEhiae92wenay2ynMwaAmBTU+0/Kfe2upmPY5had7EiKMx9XGhaw0aHHwOT2hGr7QX08y60RWAVak9J0aUJNh3uIIo9EBqQJQA9VCg2OQo+AyNwEEzJGiGDpphgK5Kgb/5tZvEy9ev/IMN60a+vWXrnuisjatOMqrkOOkWXI9K1xqMjx+M3GDomv7BJWtCctrHz1wziHKBo1x0UC4SlIsclSJDqZAg8GPZrEpI/icruycQghu6eKaN65G33nlHzqwxLDABTyxrqEdadgImWTn6MGNpLKDq/UdWjDINctKF8UFaX2+UZ5M/xeQsKVHLldjIymCDClAHAOVoMqAeU9RDYKYpMNPgmGkmmKoDo+PATDyCyzav/fjw4uE1y5cMXLN3/8GXDLiBl4gF16O7bw0ANK7+ynVbt02s/9z5Z+zy61NdH5uZ3O+UCxGqpQS1coRqOUSpGCLwIhCHgegUewCA1MlTeqK7leVc+XlvpFLcbMcQyKxBUEBGX2Btazdat6Z3E2JPDzUGNYYB5fo30tJa+/HoC4PYPzJ3wWQXnkhjt7P47axLHgAIzgEWo8k4xkMK36HwXA7fZfBcgXLRR6VzBWNu92cuuEB8btnWvWzRivNONoRaxksK4Hr8yfveiGu/9y/s8jf/9icOHz7sPvLLuz50cPeDQWf5ILo7ptHbOY1ioQHPjSBojJmoAMbtm5E17xJHYSXEtNzEttbITTCtx22An79yMAvoDXADBhVBdrFZ7nli0BLoWoRGM1X1htm4eLovqZwpUrCb7xBCtoItBQlAQrDYxWHuI2IOEiabsQ4NdOK0jaeFm88/5391dfd84tb/uAHnXfBfTjZs2o6XJMAB4PI3/wamp6cAsI9tPONcemTp0KbRnddRQmc23fTAjLt8QYyzTwmxfRfBj+8oYrzhyQ6w+cjB3GPrxOcscZ6etITC5kFtLGFyctgT1bmG2QPSdFya0YLaqUJVh2kCMzZeuuj1ncpSU6xZcQ7yszifGCOoFQkuPaeJ6+8OsX23i1NXT2FRX4KxmSVJtVy96/K3vJ6vXb30Ls7Fx6amplCtzt2r8mSOlyzAAaBSSQ/cR7c++k0Mjyyr3vvYwq9fe/vht5w1soOeNrIVN91L8cCWkiy/TGRoTd565WNTzJEPjDKtNlUg13HgVjy45SG0i+q0fPZsI/+8BqVWTyAnSelSm3EKQFtvLlPVUupi/l7R7qvkVUFy368fck6RMBenrQxx4el1bN9TxW+8ohPven0Hv3PHiu/vONT1nkeefmLqnE0vezGhcMLjJQ1wc6xY+048+OgzU0PDwfs/8q4D29zwrrVbDlbe8NN7H8d4IwD8AsBko3Sh23lAGBwAlkZsDkv7TiW0DOQ0B3Ki0JEGW8GYVLahKLOOXIyJjsMxDa62wlwAhCP1WqUXoSqbnHlq89Y6oy621i+sSSohAq7L4ToUURggcBKcfUod08kSOIXFP0R1/aNvenX/lxuNcKpUW3qy4XDM41cG4ADwsrXDADAqxBP/E3jt4nsfWInN5wy/YcfhrXjq2QQjwxPYNepiKqrBIRSeqpqVVkzVwUkmv9brMIGeRfzJQj02uC16ot6fxnzg2NUTPVJwA0ivSYVTXaM7BSaHmifIiSIjMjAqs9zZDFUYbbJNIUU7eWRQG4UjZMHMmWaInftdzO8uosk6sGLkTKx/+cYfTvK1H9xxeGrn0OKhkw2B4x6/UgDXg5DVGD00tnPlkjM+XCkWrhka2vCBHdufPm/lwH/gwaf24vP/XELJ9VHyZJfcWLXCcEVmndunwGVcPAO2rmYlH8vvt3v4SGBn3LslpxSiFfS577a4uMmnDD6tLwKZi0DS0ABGBByut2dv1BNszgm4koOI0W6GMYo4dOTnFzn+4loPe8ZG8KHfXI+RFUtuTSZqX142vP7hJIl2VmtLTvZpP6HxKwlwAOid1w0A24QQ29asxqMP3U8HV40Mfc2v3TdS/OGzTm8pQUcReHaCYHSGosMHfEdk5dpUbLTpHQRg8OqsNYqrckRJSrRFjt/mJpzGMIFrjnYpd8YHqo3I1BTjc3hKtWRkpch1/ksz5yGlUnDZ4IlzgBIO30tQLDQxPlXEgbEKSgUHnbUprF51AVtTPHdbA+z3e+e/Yl/3fGx1TjC25qUyfmUBrodSK7YKcWAr58klPX3B0N9/vvr9O267o9YZ7C3XajvxD7dRPPBEFyoeAaUcvkqTkzgVVqyKvIVLi+2kOaFUhfLKk61zDXWcSHZByCRk3cFML6FVDvV+8w6SdSeWn6trJsrfJpcC0o/FTSvvZI8pJXDVd0kHTlZmmgsClhBAEHiuDIctBU384qkm/unmClbM78aFZw3OVBZsnNxcaLwpclbscaiz80SDxl5q41ce4HoQ0g/B+c7TXzZ/1+HDk6fM73bP6qzwb9QKdyYN76HuJ3eJaiIoPEeg5Mvk5kYo0Iy1F4/AVWDUllgC3IHnSaBTQsCFTMJIWCbLCWIoLFSilnGAcwGuxWtQuwekQjGHAi83rL1R0k59hUwuYAAXEsBctSChhIC7QoFf7TflEswEaIQOZpqODId1CHoc2R/nsd0Lp+YtOHfskktOcXtq9N3F6tK7V3RVJgDBCXnJOLifOy5O9g68EGPyyH4Q6tKoOVno7nt1+Pi2H/7RV6996G3btuyI5xWmV3VVRKHg1VGPZnDXYwECV2q/pQAoBkTGvvgUBd9BEFAEHoXvyVjoRMVlNJoMjKk2ig6F61J4rkyehgDCWKAZMsSMgxACzyHwPUflnapmFxSIE6DZBKJYdi92HHnx+a7MQaVUArvehPxOLgta+p7azwAo+ALFQKAYcBQDhnKRoVKK4Lkh7njYw3S9ggX9ZQz1ieayxfGW3r4FXhxsvqZ/4Kq/fPixTwW9XbVmlCR8eNHxdTD7VRi/NhbcHLWuAUAax/ojW7cj8N2/cF3nL95w4WpnoLfyVY/GK4pk+zljkw87P/6lQIW78GmIwHMAOMoKEjguge9JEJUKAoEnTeyz+zlmGgkgAM8jaWF8zwUKvgQmaQBjEwxRzOG5BAgcuK4AoQSeBxR9Ad8TCGNgfFJgpsHgOhK0riP3wXMBX31nM+QYm4xBIOB7FFw48q7jEDBXh83q7J4YlWKCcmUKj+ydh4W9w2zJ8mW39/cWtiYYfy8hB1mpWMLU+MdFtXOkfrLP1ws5fi0Bbo51K5YB2ZQwmZmeeA9oqcvhez97x92hX+s8yJb29rx8XoWfNj0xirAxAwoH5YLKEnIluGtljo5Kgt7OOu7Z6mD/QQedFaACB54jZTffBSolga5qgsCfwv1PeeARQUeFglIJXocAgStQKTJ01hJELMRP7qMouxQdZQeUyuhJhxIEvkC1xNBVjUCcJn7yCx/9VaBWlj+HUsBxKDwXYEmMxOEgpIRaVz9Ktcb91VL4wIZTVzkXnfNfo5WLe/50uh4e6eruPNmn5EUdv/YAz49ypQMAjgD47wBw3fX/DgKclyTxxVE486aZmfrKOGriwL6dCDwBl4ZwSIxKIUJ/V4iFg6M4UO/E/vEKfBfwHI7Al54lz5PhvH3dDQz1H8T+mXkgjQCeK1DwhWyDTaVVLhc5+jobaLAjeGx3FcOdRXgOQyGQ/Nd1BQJfRk8O9NQxlYxj22gv4thBXxQC3IHjBCgXA7i+j+WrlqBSKcDzi092dRS+H/juzxKx+dYr37kZwAdO9mE/aeM/HcDz442v3wwAtx4eO3IrgNuiMF52ZPwIv/FHY3ywv3vJvN7uj0xP7sZQX4LBji2465FJPLmtAo/FaEYOCh4QRQyMOaCEoOAzVIqybXkzTpCEBTQjgTgR4KpgpudCcuVSBEQNxLyCqZCgGQkkCQeBgOsAgcvhOgmECDEyOIlTlgEHR1dg1epe9FSBlSOLMDk5/rlmfXzHqlM20c6uTkqItx3AT6u1zpN9aF8S4z89wPXo6e4CgJ/q9cOjo/B8v3P00P679uyi6OpO4r7BBVfOr59/0bt/p4yqT/DLhx7A4cOTcFwXjuMhCCgKQQKHhqBooBnFqNcTTBU4qkWGRHWxhmDw3CZc2oTgEeqNCNMkAOMeCoUCymVPUp2OENSbh/7hzejsqOMj7/Fx/5bOm3qC6S92lYW3fv06DA4O3hqG4fi8eb0n+xC+JMf/B/gso6e3FwDGAVwPAKz5LAjBlpXLk/5an8tdzrD72W04fKQO13XhOC6ShMUjK077ZMEdfV2xOD++cFMfZiYDdJcE+rsIumseqmWK3k6OgZ4GatUm+HQDF51TQl+101syWP7X3Tse/mTge57vCxSCGMypota7AUERWLeK0gULCgcIETvWLX/+Sw3/Oo5fS5nwZI19O28FQPqT5u6OQnBAfP3GXtSnXVQCgb4aQUfVRalA0VXl6OtuoFyMMT4T4Rs/8tHX0UlWL+2f4EIceMNrzjnZP+XXZvw/KURDusJJmF8AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6Mjg6MzkrMDA6MDCSfu96AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjI4OjM5KzAwOjAw4yNXxgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 218951000
{'hecke_orbit_code': 49539595934638963, 'n': 1, 'trace_an': 1}
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id: 218951001
{'hecke_orbit_code': 49539595934638963, 'n': 2, 'trace_an': 0}
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id: 218951002
{'hecke_orbit_code': 49539595934638963, 'n': 3, 'trace_an': 1}
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id: 218951003
{'hecke_orbit_code': 49539595934638963, 'n': 4, 'trace_an': -2}
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id: 218951004
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