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{'Nk2': 26656, 'analytic_conductor': 53.212307906981245, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [17, 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': [6664, 1, [4999, 3333, 4217, 785], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [0, 1]], [5, [-1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915672584, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6664.2.a.d', 'level': 6664, '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, 7, 17], 'level_radical': 238, 'minimal_twist': '952.2.q.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-3q^{9}+2q^{11}+4q^{13}-q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/6664/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6664.2.a', 'trace_display': [0, 0, 1, 0], 'trace_hash': 157962889392295726, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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'hecke_orbit': 4, 'hecke_orbit_code': 13510798915672584, 'label': '6664.2.a.d.1.1', 'level': 6664, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 22, 24, 18, 20, 20, 21, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [99, 102, 102, 104, 108, 100, 97, 101], 'Nk2': 26656, 'analytic_conductor': 53.212307906981245, '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': [6664, 1, [4999, 3333, 4217, 785], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 164, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33561096, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 12, 12, 12, 12], 'label': '6664.2.a', 'level': 6664, '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, 7, 17], 'level_radical': 238, 'mf_dim': 1040, 'mf_new_dim': 164, 'num_forms': 31, 'plus_dim': 77, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 2016, 'trace_bound': 5, 'trace_display': [0, 2, -2, 0], 'traces': [164, 0, 2, 0, -2, 0, 0, 0, 160, 0, -10, 0, 4, 0, -24, 0, -2, 0, 0, 0, 0, 0, -4, 0, 176, 0, -4, 0, 18, 0, 16, 0, 20, 0, 0, 0, 6, 0, -4, 0, 4, 0, 12, 0, -10, 0, 0, 0, 0, 0, -6, 0, -12, 0, -24, 0, 16, 0, -4, 0, -6, 0, 0, 0, 44, 0, -4, 0, 24, 0, -4, 0, 24, 0, 22, 0, 0, 0, 20, 0, 200, 0, 12, 0, 2, 0, -24, 0, 8, 0, 0, 0, 24, 0, 24, 0, -12, 0, -18, 0, 28, 0, -32, 0, 0, 0, 2, 0, -14, 0, -32, 0, 0, 0, -56, 0, 4, 0, 0, 0, 184, 0, -20, 0, -60, 0, 32, 0, 24, 0, 6, 0, 0, 0, -24, 0, 12, 0, 54, 0, -72, 0, -4, 0, 28, 0, 0, 0, 8, 0, -184, 0, -6, 0, 40, 0, 16, 0, 4, 0, 0, 0, -174, 0, 0, 0, 80, 0, 148, 0, -80, 0, 38, 0, 0, 0, 32, 0, 8, 0, 58, 0, -168, 0, -44, 0, 6, 0, 0, 0, 32, 0, -20, 0, 24, 0, -66, 0, -28, 0, 32, 0, 0, 0, -12, 0, -60, 0, -24, 0, -186, 0, 24, 0, -8, 0, 0, 0, 4, 0, 8, 0, 56, 0, 212, 0, -10, 0, 8, 0, 0, 0, 16, 0, 24, 0, -72, 0, 32, 0, 44, 0, 30, 0, 0, 0, -136, 0, 256, 0, -44, 0, 32, 0, 0, 0, 28, 0, 0, 0, 178, 0, 24, 0, 92, 0, -92, 0, -82, 0, -32, 0, 0, 0, -94, 0, 10, 0, -16, 0, 156, 0, 66, 0, -24, 0, 0, 0, 164, 0, -188, 0, 88, 0, 64, 0, 88, 0, 80, 0, 0, 0, 124, 0, -108, 0, 16, 0, 112, 0, -112, 0, 28, 0, 0, 0, -50, 0, 144, 0, -12, 0, -16, 0, 68, 0, 112, 0, 0, 0, -12, 0, 14, 0, 112, 0, 88, 0, -36, 0, -48, 0, 0, 0, 88, 0, -30, 0, 60, 0, -104, 0, -12, 0, -56, 0, 0, 0, -128, 0, 252, 0, 18, 0, -20, 0, 12, 0, 60, 0, 0, 0, 20, 0, 112, 0, -76, 0, 6, 0, -40, 0, -80, 0, 0, 0, 148, 0, 224, 0, 4, 0, -20, 0, 64, 0, -62, 0, 0, 0, -20, 0, -96, 0, -82, 0, -8, 0, 44, 0, -92, 0, 0, 0, 184, 0, -4, 0, -90, 0, -12, 0, 104, 0, -2, 0, 0, 0, -160, 0, -108, 0, -40, 0, 184, 0, -48, 0, -28, 0, 0, 0, 60, 0, -20, 0, 20, 0, 12, 0, -60, 0, -48, 0, 0, 0, -80, 0, -12, 0, -92, 0, 152, 0, -120, 0, -56, 0, 0, 0, -172, 0, -128, 0, 88, 0, -180, 0, -44, 0, -36, 0, 0, 0, -108, 0, -60, 0, 52, 0, 32, 0, -18, 0, 64, 0, 0, 0, 142, 0, 176, 0, -116, 0, 36, 0, 62, 0, 88, 0, 0, 0, 152, 0, 216, 0, 8, 0, 168, 0, -148, 0, -20, 0, 0, 0, -8, 0, 204, 0, -212, 0, 32, 0, -152, 0, -32, 0, 0, 0, 214, 0, -440, 0, -12, 0, -118, 0, 122, 0, 40, 0, 0, 0, -272, 0, -84, 0, -40, 0, 20, 0, 12, 0, -108, 0, 0, 0, 144, 0, 90, 0, -80, 0, -572, 0, -28, 0, -84, 0, 0, 0, 124, 0, 12, 0, -128, 0, -88, 0, -120, 0, 96, 0, 0, 0, -56, 0, -88, 0, 0, 0, -492, 0, 158, 0, -8, 0, 0, 0, 16, 0, -224, 0, 184, 0, -144, 0, 54, 0, -56, 0, 0, 0, 184, 0, 24, 0, -30, 0, -160, 0, 12, 0, -48, 0, 0, 0, -260, 0, -76, 0, 154, 0, 136, 0, -120, 0, 112, 0, 0, 0, -6, 0, 192, 0, 192, 0, 120, 0, -84, 0, -28, 0, 0, 0, 256, 0, -208, 0, 64, 0, -36, 0, 156, 0, 50, 0, 0, 0, -140, 0, -330, 0, 4, 0, 300, 0, 40, 0, 146, 0, 0, 0, 408, 0, -8, 0, 172, 0, -60, 0, 136, 0, 144, 0, 0, 0, -118, 0, 420, 0, -144, 0, 272, 0, 8, 0, -60, 0, 0, 0, -116, 0, 102, 0, 56, 0, 460, 0, 44, 0, 100, 0, 0, 0, -24, 0, 144, 0, 160, 0, 56, 0, -92, 0, -60, 0, 0, 0, -36, 0, 64, 0, 136, 0, -296, 0, 56, 0, -20, 0, 0, 0, 10, 0, 416, 0, 156, 0, 44, 0, 208, 0, -16, 0, 0, 0, 48, 0, -48, 0, -224, 0, 84, 0, -34, 0, -8, 0, 0, 0, -164, 0, -552, 0, -52, 0, -16, 0, 104, 0, -20, 0, 0, 0, 344, 0, 140, 0, 50, 0, -16, 0, 40, 0, -104, 0, 0, 0, 110, 0, 148, 0, 196, 0, -106, 0, 64, 0, 200, 0, 0, 0, -64, 0, 344, 0, -16, 0, 96, 0, -220, 0, 34, 0, 0, 0, 364, 0, 72, 0, -178, 0, 640, 0, -20, 0, 44, 0, 0, 0, -544, 0, 36, 0, 2, 0, 40, 0, 32, 0, 4, 0, 0, 0, -278, 0, -100, 0, -224, 0, 100, 0, 64, 0, 60, 0, 0, 0, -258, 0, -32, 0, -168, 0, 184, 0, 176, 0, 24, 0, 0, 0, -356, 0, 54, 0, 52, 0, 320, 0, -80, 0, -64, 0, 0, 0, 336, 0, -8, 0, -192, 0, -22, 0, -8, 0, -60, 0, 0, 0, -88, 0, 16, 0, -180, 0, -404, 0, -102, 0, 16, 0, 0, 0, 66, 0, -248, 0, 224, 0, -32, 0, -88, 0, -120, 0, 0, 0, 68, 0, -134, 0, 4, 0, -160, 0, -48, 0, -156, 0, 0, 0, 388, 0, 144, 0, -76, 0, -526, 0, 140, 0, 124, 0, 0, 0, -368, 0, -4, 0, -128, 0, 96, 0, -30, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 42724994
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915672584, 'source_is_minimal': False, 'source_label': '6664.2.a.d.1.1', 'source_level': 6664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915672584, 'target_is_minimal': False, 'target_label': '6664.2.a.d.1.1', 'target_level': 6664, 'twist_class_label': '952.2.q.a.137.1', 'twist_class_level': 952, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42724995
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915672584, 'source_is_minimal': False, 'source_label': '6664.2.a.d.1.1', 'source_level': 6664, 'target_conrey_index': 681, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545183160, 'target_is_minimal': True, 'target_label': '952.2.q.a.681.1', 'target_level': 952, 'twist_class_label': '952.2.q.a.137.1', 'twist_class_level': 952, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42724996
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915672584, 'source_is_minimal': False, 'source_label': '6664.2.a.d.1.1', 'source_level': 6664, 'target_conrey_index': 137, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545183160, 'target_is_minimal': True, 'target_label': '952.2.q.a.137.1', 'target_level': 952, 'twist_class_label': '952.2.q.a.137.1', 'twist_class_level': 952, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42724997
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915672584, 'source_is_minimal': False, 'source_label': '6664.2.a.d.1.1', 'source_level': 6664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302088, 'target_is_minimal': False, 'target_label': '6664.2.a.c.1.1', 'target_level': 6664, 'twist_class_label': '952.2.q.a.137.1', 'twist_class_level': 952, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4252225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 2}
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id: 4252226
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 3}
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id: 4252227
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 5}
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id: 4252228
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 7}
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id: 4252229
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 11}
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id: 4252230
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 13}
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id: 4252231
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 17}
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id: 4252232
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 19}
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id: 4252233
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 23}
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id: 4252234
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 29}
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id: 4252235
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 31}
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id: 4252236
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 37}
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id: 4252237
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 41}
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id: 4252238
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 43}
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id: 4252239
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 47}
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id: 4252240
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 53}
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id: 4252241
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 59}
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id: 4252242
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 61}
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id: 4252243
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 67}
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id: 4252244
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 71}
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id: 4252245
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 73}
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id: 4252246
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 79}
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id: 4252247
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 83}
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id: 4252248
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 89}
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id: 4252249
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915672584, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '6664.2.a.d', 'level': 6664, 'portrait': 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clw7OFrgbCGDdOG+amE5W5AdygYxR4rA8HmKcNSx3DsrKLm+Wyehe0bQjbNjdg4N2bz3Jjtmyznb1Zcdp5HXTU5fKzNQ8/5PPFizDNHIxLV45te0+G2V1vqao4Xj05z+JTm5LmEMym4Dyxarr9igZ/57hXOm5/i1Llpzq3UWOp4LHckK72E3iChPxK8eHiRfcc7lz1zYOG1B06c23n45MLnbnrzu8MH7vqzlxsSX9ftbzSDL6906I0svuYXH3zq0Kt/5r9/XN5244FX//PbTujFzkaWO22WVhssdXyWOpqlDix3EpY7EUurCWdW4eCSYMP8Kv/he5a44eIGx8/Ocupck1OLmrNLljOLMScWEs71YqZnR9xyVZ9XXQq+rBOogLPLNU4vas4sCwZjiGNDzTc0awkzUzEGOHomptuHHZs8mvUx1goQPv2h4fzNY5ZWNVgnRVb7MI7BYlnuhGzb6NEbKoSyCDOmXfM4f8uI1YHg6ClNYjRzbUmrJgg8iGPBYCw5syw5vWQ5uxITBCPwYm66vM+rrxBsaNdZWmlz/GzAqUU4uxhzdjnm5DIcXLJcd/kiP/c9K2yebnPszCxnluosrPgsdiTLqwkr3YiVbsJyz7LYE5zowspyj1/5F2H8bW9sfqWx6R+YoHXpV5SMfzqM6wS19ssNlZe8/Y1l8D/88Me46cZr+amf+Jc//0d/fs+/+O0Pf/HCfcdWd+4/1Ze3XNXjgi2GJNFYq7DWsTdWAhIQCGHRwuJLOLVU55EDkqt2L3PpeSMaNfC0xPcUvq9p1iUNTzLoe+w7UuPzT/gcPTemG0fsOz5m09wy77hlhasu7HHdpR2OLMYsDgSNYMShU5ZOt8mVF0hWRwl7jihaDc3zR+GirZZRmDBKfLSOmGnB3uMBSid4MkZ7MBxLbrh0wHAguerChO4w4eipFrs2K5qNkNWxZeP0gJV+lz/9Ejx1OOGZwyN2bF3i6ku6zMyGvP2mHt/6OsvuzS2SaJrDJ6c4eMLj+BnDiXMRJ84lHDwnOLYa8YqLF/gP39Nj0/Q0x8/McnapwcKqz1JHstJJ6PQiVvsJK33Lch/ODhTL3ZjrL13kR9+5IBva7FxaOLJrNIpv1LWL6vXmzBceeeB2PvDBP3m5IbPu7W8kg//JRz7O7p3b1NPPH/h3h4+e+TePPH1EnV4KWRprTg8MV+04y6/8yALX7G5wdmmGpU6D5U6N5Y7Hclez0oOVTsJKN2a5F7PYgeMrAl0fcfMVy3zb60J2bWyy2m9zbrnOwrLPYkew3HESYaVn6A4N3bFlMIqZa0ecv8kAgsCznDjnIWTAjo2KXVstWzcOOLsy5un9LV55kaVRX+G5A7O0miFh6DE3YxiO4LLzR3z4S9Nccl7MeGyZn5JEyZBWLeD5IyPqXpNrLo555lDI2SWfbXMBu7bA+ZtDlIo4sQi+ZxHCsmNTzExL0hsG9Ace3YHHclexvApLHcNyJ2Gxk3CmA0ujhPO39fm2Wxe5+VJNzWtzerHN4kqNxVXNclew0jGs9iJWegmrfctSH870FGdXY2645Azv+5ElLtrWZKnTYrVXozucQvgXJV5ty883pnb83HhwJrnl1r/3ckNnze1vFMBf3PcitXqtfvLEifMff+q59x49dvo/7T94nEEo6Q1hZSg4N1Cc6sVcd8EZ/suPLHP1BXXOrcywtNpgpVtjueux0tWsdKHTM6z2YlZ6Mctdy9mO4FTfguhz22s6vP0GwwVbaoRhg5VOjdW+T6enWOkLegPBaGwJY0uSgJKWwIN6YJluWzbORmhvxMHTIc8eCDBxk7fdGKK9VR7fM8XOLfDZR2Jec2XAuc6QmlbEScTsDMSRh/ZilpYa3HJtl88+2GLXFnhs/xiPBm+9wRCLIc8eTDh8ooaWPptmNDNNQT0Q+L5ACYgNhJFlFEJvYFntG3oDw+rAsNS3DJOEHdsHvP1VHW57dQimxdLqFOeW605vdzUrHVjtJXT6MaspuJcHcLqrWOgmXHfxWd73I+e4fEedxZVpVnoNOv2ATs9jpSuoNbfTbG/6t5u2Xvpn27dvOzYejYYXXnzJyw2l/PY3BuAnju1n48Z5f9+LB79/374D73/k0SfF0kpfjkPLYGTojSzdIawOJeeGktO9iBsuPMcv/+AS115YY3F1mqXVJivdgNWez0pPs9oTdHqWTj9htRfT6RtW+pZzPcHpjmFmesCbr+tx06UxOzYp2nWPbq9G4ElAEcYSYwTGwmAECMNMa8T+kxZjQ+5+rMl4UOfCbT43XzUgMqvc98Q011zksf9Mn85Km1ddNeALjwdsmrXsOWr5x+/qsudIwKZZyeefUNx8mWJ50OXQ8VmuuTjkvmeHxOMGN13us/u8EcO4z12PK0gEB09o2g2NFjAYSowVJMYSxYA0aN/Q6VuarYjztox59WUD3vzKmLlmjbPLUyyt1lnpumOz0hV0+tDpxXT6MZ1+QmdgWR5IzvQEi72YGy9Z4Od/cIGrd9VYWJ1itdeg2w/oDny6fU1/pOgPITY1s3P3lXbnzt0/tnPXhb+/tLQQXn7Z3wyQ/40A+DiM5Xg0fMdDD9x5oTXR+x559DGvPxSMQstwFDMYGfojQ39k6Q0FnaHg3FByqhNz02Xn+MUfXOCVu31Wu1MsrLTo9Gus9nxW+5pOT9EZQK9v6Q5iuv2E/tDQGVgW+oKFPkTJmKsvGrJ5NqE/sHzDq8bs3GyIE4mWljCCe5+ucexcjS0zMc8drIFpcOl2xbWXGILagMf3D1hYbHLFzibt6RUefMbj+otqLA1WWVlps3mz5ZE9iu96Q59H92i2b/RY7HdYWZ7l2ssGPPhcwmx9misu7HOu0+GRF6ap6ybXXWK5+PwRyD5PHxZsnI04uxBx39Meo0ghJSTGsnNLyJtfFdLrK7bOGK69CMKwwXKnwXInYLXv0R0oOn1Jtw/dQUK379yS7sCwOrAsDyUnu4LOcMzNFy/wcz+wwnUXuYuj06vTHQT0Bh69oaY3UPRHkv5QuH+jH/GKa66L6jX/J277e990oN6of1opz7zc2HrZM5nheIBJBt9z4sjjv3Lu9P7ZbmeJRk2RBYpYi82vQ2cBCmGR0iKl5tEXN/HTH9S86+Zlvv0Ny+zaFnJmqU3g16kHPo3Ao1nX9OqS1tBjqqkZjBL6w4RNY8NwbOmNApYXapw4bgljw8kzMUFgAYGvLFoKBkOFwCMeaF6xU7B7q+X8bQPGSY87H1XsPTDDW14ZcO1lK3zoTosvGuzcNuCZBxXbphXz7QE1VSeMPM71oFnTbN8keGpvyLUX13ndNYv8wR1DfK/Fm260eMGALz4S8tmHm7xwuM4FWxvs3JKwYSZk13zElTsTlDJoZQFLIwjYMB0QRh69gc9z+z1XojDMgAj9kaU/cN+9N0zoDy3doWV1CAsDxdkVS2Oqw4+/bYG/d/OYqy9ocnqxTadfo5eDW9FP/83BSDAcW8YRRIngga885m3cOP8rM3Obll9z8w3/vNsd/EG73XhZ8fWyAjwMBwA/cProg794ZO+XZm3YJ/C83BVxwNYgEgQgBEjhOmmUtCiZ4EvJM/s38OSLTfafOse7Xt3n1ZePmG61We40aHZrtIc+/YF2J2ckGY40g7FmNLaMQkMYWaLIEifuHsY+1oBUAk8Lar5guiWYacHmecP2TQPmZzp87nG4/0kPaaZ4yys9XnFpjwdeiAhHbW5+haAzHHJuqclNFxvmpwfUdcAoVix0I5QRvOJiTaM15ol9NV577RSvurrHE/sU2CleebnPP/ymZb7wVMjnH22y51iN8zcoNs/WmWk1mGpBPQBPW5QEY2HPYUGSCKJYEMYwjnDfcZwwHBtGY8NgZBiMDf0hdMew0Jec68HYjHjjNcu849UdvvNNhjhuc2axSbdfozf06Q89+kNFb6gYjEQO7uHIMBonRJFhHBn2HTjF0VN3znb68f/zrm98ne71Bh9stV4+kL9sADfxOYQY/8PlU/f84uLxezZqMWSqFTAcG/L6HiERCIRQCCGQkhTcoJRFK4unDHVPsDio85EvbeeLT3Z5zZWrfPcbV7lyV5+56QZLqw16w4DB0EuBrdw9FIwjSRQL4tgt9a52ywWVWkPNh0bdMNuK2LZxQEyf/Scj/vS+GoeON5kO6lx/ueamq7o88mKHux9qc+NFNc7fMuDDXxIoEdBuRaz2xxgLSsCG9oBuz8fEdd7xmnN85LMNdp+t8fYbB4TREvc9O0eU1Ljh8o28/fouF53X4YtPDHjmeIOnD/tsn5XMtgWNQOB77iKUAoSwGAvGWKI4vVgjyzhyF/IohGEIvZFgZSxY7oHQI665ZJXvfvMqr7k8Ya5dZ6XboNOr0xsE9Ece/WGxEgzGkuEIBumFMxolDEOTkoUlTCSLZzr87p98YePSQPziu7/5Fnvk9Orv7twy/b8HwO3iL3DwzCs4e+Tu77Vm9X2jzpPzWvRo1hsIESME+R0BQkiEEAghUVIjZYJSIl2eDZ6yBNpS14KVkWKpM8NH723y8HN9br56le9+0yrX7O4wl9SJ44DBqEZ/6DEca8JIEcWSOJEkRmCscFlQYQl8Q6MWE/ghvjfm5NKYOx6THDjhc/jEDMoE7N7ic9kuxSsv7aKCBZ492GLbdIMrLoDNG1ZY7ra5cpskNpbPPRowHkimmzFvvWHEp++LOHamxSUXepxeHfH8IY/zNs1w9a4FHnimx4PPC8ahz6W7Zrn0vIBLt/c4eHqZAyfh0b0N9h9q0tCCQEuagaXmgZQuqLLWXaxxAmEMYSLojwXdkaAbQWhijB1x3UVdvvvNXV5zZcKW2YDRaIqlTo1eP6A/8hkMXSA5GCmGY8FwJBmOXd/oaJw4j3/swD0MjYuZQhgnilOnOnzgf96z8dCxs+/bONOIP/ihOz702SdP8Wf/9Qf+7gL8X/7Sb8Lch5jp8p0qOf5rndUz0zaR1AIfSwQ4FnJ3hRA4tpYCpQRaqfTRoFWCpwW+NvieJfAsDT9huibojT1WujN87P42X3p6xKaZAe+9tcOl540YDftcscty3mbFOPJIkiLNL7BIafB0wtGzlsNnBKtDw+0PNDi5OIMNPWZqiq1zmh2bNRdsgyt2dzFykQ98usny8hQ3Xqq5YneHLz4tELHHxhlJsxEziHyklWAlSvt0RoKzy4LLbYNbX9njK0/U2Trvc+MVs/yDb1rk9z/b49F9Tfojj6XVFru21rlky4AbLu7xLa/tcWp5mdsfCFgaBBw97XHypI+nBFK6Vc9YS2IgMpYkNszMRVx1+YDxOOLS88a8+9YxG6cUs62AKKpxeqHGYOgzGLtVbpgDWzpwjwWjMW4lGCeMQsM4TBxzRzYFOQwjwSAURGiOn+vwux9/aP7CnRt/7YZXbIr+7L+e9ycLR/4zG3b+y797AP/R//QnbL3m28X3/IR4z9bWc7/zba95pnH5roDeoMFoXPyeA3eqtaWTClJKlJRoJdAqfdQCTyf4WuB7hppnqUeWRmiZqiXM1IXzz8Mmh080+eU/mQUTI+KYV141YNfmkDgGYw3WuiSOFAKpBNrz2XfMZ8+BGs2apuVL5huCDXOSjbOarRsUO7YkXLJjlUQs8eufaHP02DQ3Xuxx6c6EYdzjoWcDpusec1OW6VZIo+6kkDGSzkix3LcsdRI6/Tq3XLHKY3sG7D2mmG7XuOHyaX7wHUv8xifhiQNN+kPLak9zdrnN5vkGG2dG7Jgb8S/fM6Dd6PDMYdh3XOJ5FqUsQhjAuv9ZiGPYuTnh5itjksgjigOsbTAKPc4s+gzHbkUbhSqXb8NQMBoLRqFj7XHosrLjsWEcGkaRSd/L7im4I0EvFKxGgm5kSYZjxt2npt91w4bf+e/nFmNV/76Pdk7U7NT2H/+7A/Df/uBHeP0VM+qDX/rD2w4dW/rQHz20VHt6b5tf/kddLjnfsbEUBiEMUvhIaVHSQymLkgqlVKq3JZ52mtP3FGNPMg4NQZgwjiz1NNAJQ0s7hnFkGMcQxoJRJBknAVFSY++BJk/vhcRaHLSdNvYk+MrVfLQCuGILtOsw1ZTMtBRz05qNs3D+5jFbNqwS2WV+/RNTHDw0xbUXKC7YLtm9fYV7no85uzTFK3dJZtqGmj8kkAFWCeJEIqwlTkJW+jXOLnlce2mdV1zc44EnamyaETRqLa692PDjty3xa580PH+yxWrfsNpTLKxo5qebzLTrzLSnaDciNjQjdlwbEngxno5RKkEKF0xY3EUVRYpzC5ooVkSxIowU4yh9DCXjSDIOJaNQMg6FC1BDwTi0jEN3XMdhQhimmj5y749CGEWCUQSDSNANBauRpB8mmNGQV+xc4Rf/0TneeMXJRmfV/9DyqU+Z5w6/7hOPPfDR5Ppb3vO3H+D7nvtv7Np+Sn3x4dPvPn16+AfP7DteE61p7nzEgfXnfmiVy7YnKJkglXHgVia9eyhp8ZTF0wpPW7xQ4nvCnQRPMPYVYeSAHkWWME6cKxKX7gnEiSVJDInB6W1DDu5MCmkJngeBFtQCQSOQNBuKqYZkZkqwcTZmx+YBreYqn/hKyH3PzrK62Oaq8xU7tnhcdN6IRKzyuUcbND3NhhlFqzHi2YPwwiHNledZBmPF1RdFXLXbcuZ0wsKKz3DU4G3X9/jyM0P2n1Q065LAb3PlBYaf+94l7n1+yKfvnWepa9mxMWGlo5luK6aaHq2GR7NuqQWGwDcEOkErJ7Vk2lppLS5hZQSxkcSJII4FUSwJY0EUScaRc17CSBBGljCEcZQQRoawRBzjqHx34B5m4I4knQgG4wgZDbh25zI/+0PLvO16Q6c/zWrneG15NPdHC50vf999e4I//+X/8VvJT/7oj/ztBvhH7twshRh/+0rvwG9+8bGFWt3zCQWMafOpByXhWPHu13d5zxv7zLQTetKgZZLqbKeHPa3xIk2gFSPPMc3Yk4S+IIyEOzmRIoohjKRzEOLC9osTQ5I4dyGxqVOSuiWZO6Okkz2+FgS+pBZImnVBu2GZbhk2zY7ZMNMjtqt89MuS3//sHBtrNa46X3D+Fo+dWw07tqzwiYcsy8s1Lt2smGlDqxFx9ojk3EqAvwvGkWDDlGR6GvYftqx0DWcWa1y0s8YbXtnjjvtrzLUg8H2UnObK3YIfevs5PHmOTz0wwwsna2zqRmycjplqKlp1RaMuqQeawIfAA62dwyQFSFECOe7CTgwkiSBOSIEOUWIJY4iixJFCZAizx8iktmPmyqQWZCwYRoJ+JOjGkl5kCEchU0GXb3vbEu+5tc+broVuv8loXAPhoc0ztQ2N3b/z/W++VDdqjf/5k45n/nYC/IN/+EmSxHzvvQ8e+i/3PbXUVsKjplzipotmJFp87lHFQ8/XOL2yxD/+lgEz7ZhxUKM7qKGVj6c9PO3hhwmhp/FDJ03CyKXSHeMIx0QpK8UxRAkkiXMSjHEBlzE26+FMwe0A7gJXgacdQGoBNGqGVj1muhWzYXrI/MwqX9kb8kd319l3eJqdUx67N8P2zT7bN8El53cZxF0e2dOmrjw2zCimWzDdGjMzFeP7GiHcxTUc+yx3I1YHlk4/5tyKz/mbW7zq0nPc/eiAfSfbNIIIT/kIMcXubYq//6ZFrrvkHH90d4tHnptmqa/Z2I6ZbsQ0apJ6TRF4gsCTeJ6LVZQitQ8dyi2uh9UYcqDHiUlXt9RajA1x4sAdRxDGtrhHzpUZxY5UBpGgGwt6MYxGMSYeMlfv8mPfusz//R19GoFPp9dgNA4II58o1tQCzYXzp9rj3tSva+9qf+8zf/H7l17911ek9dcG8KXlDkrKH/it3//4Lx47fmJuaxvGsWGcCDwJSgi6QjOUTVbHmv/yZx57Dq7wjtf2ufWaHpvmQ3rdOsNxgO/FBL7HONQEvrP3MoBHkSSM3bIbxamnnZBaf6TMLTGWAtwuSZkyN2jlEia+Z6n5hnotplWLmWmP2TLf5WxnwPtv9/jcY7MsrzS5cIPg/I2CbRt9tm8U7No6QvurfOQ+zaHjTS7eJJlpSaaaCVKOOblgCbRECrBWEEaaHRu7PEpCd6BY6VrOLte5eHuNb7m1w59/0efI2QBPRwjhYWyTKJa8ctcKO76jy+eeGPDhz83y+JEm22YE882EZi2h5gsCT+B7Tv5phQucpchzwRZ3kRmLc1oSB/gM5HHiJJ0DO4SJq3UJs+RRLBjG0IslvRiGoSEZjNk+3+N1167wztcO+IbrDVo0WFmtM458wsgjjDyiyOn/UagYh6fmvMYF77vsFbepcNT5oF/765m49dcC8NXVDr7n/YPP3n3fLz7zzPMbfWWRvnD6OgGdVud5UtCXgp6s0Qk1H7mnxr3P9Lj20i7f8aYBb7+xw9x0wHAUMBz7BJ5HGHuEkc4DpThWRIkkjiVRIohjSZIIEiMKrW0EuSqxWUbUJYtUmizyPUPgJ9SDmFZ9zPx0n2E05IvPWv70nikeeW6aGd/jym2WLbOSTXM+WzdItm8KuWDbCs8cGXL7lzcwpTQbpgTtpqDdiOgMEj77UI2W79whY2E41rzj5jGfedjVxHT6hnMrmu0bW7zr1X0e2dtjz36fZhCjpHAgNw1GodP6f/8NHS7eco6P3NvlwRemObZSZ3NbMFWzNHxDTRt8D7QSKEmaIEtzCynUTSrVjClWuDgFuiMIl36PkhTYiWAUCwaxoJ/gYp4wpFkf8K63LPPtb+ryyosTNs14DEdNuv0gB/Y40kSRJowVURbchpLjR/ZulN5Dv3jhZa8x/X7395rNv/rGib9SgJ9dWGXj1AAj+J6HH37wP99/3z1zw/4qjUASxjiAxxYtnWuhBfgSAgk96THwFCe6AacebvDws33+/Koe737DkLfePGJ22iccB4zjlA1id9CiWBEnijhJEzZJAXBjU+Y2RU1ZZkMq6eo4tDb4XkLgR9SDkFZ9SMKQLzwh+ZMvTfPc4SlEFLBzxrJl2jI/rdgw67N5XrJ1Q8T5m7scX+jxW59uEo/rbN8umG5p2k1oNyKEF9IdNpluWYQQWAtRLJkNFLGJ6UU+vUHCSldxcqHO5Re0+OFvXuV9/zPg6EITraL0wtDEcY1RKNk8F/DKC7tcdUGf54+e5E/vqXP349Oc6tRpBoqWD03P4muLp0BLl84XolpdZwBr3EWXGEFiIU6E888TQZi4JNEwEQwTGMaWOI4x0Zi52pC3vXGV976xx2uujJiqe4RRk5VOwDiVIw7gKn2eujexJAydxOyv9jhx9v6Np5fkf77q6uvip547+YdXXtxA+zN/MwE+HA5ZFI133vPAo7/x+bvvbo8GXYJAISKb690M5FIItLToxBUz+cpQTwQD5TOINefGNT71cJP7nhtww+f7/JNv7XHZ+V02TivaDU0Y+YSxRxwXIE8ygBuJsRJrnSSweUCZpvqVdUGsjgn8GE+FdIcRC92IX/1EjcPnZnhizzTW+MzVBRvnLfNTgrm2Ym7aY9OcZPNczLYNA+amV/jck4bHX5jmqu2CmZak1ZC0G4ZmPUR4Y4JAo5X7+9ZCkkiGY81wFBEbQW9o6PUty12PM0ttbrqkz6suX+Ujn69RX1Zo6ZJgxmrixCeMXI/n/HSN63b3ue7CPo++7hRHFyR/dPc051YbnFgK8JWk6Qn8TIZJF3jmRJ5JFRyTx1YQG4iMYJzAKIbQWEhiiCOkGrN1ZshVO9z5uP6yhHZdE8dNOj0H7DgFtlthM1tSpuwtq7LSSEbDLqcP3zV3wfbkNy678MaV0Whw+18lJv/KAP7ii/vZcd5m9Yd//JELn3x6b/vcuRWaDXdibSoLhLTIWKCEdbUeCehE4CmLH1tqiaChBEMlGOiAYeKxFNa5+/EpvvLCkGYw5vu+ocP2uZidW4fcdEUPLVyLmBBOrrispKuVtrbE3FiEtCjhPHNLDDLm+cOSx/Zq7nikxfPHWoRxg5ZWbKhbZpuWmYZ1PnhbMzulmZsWbJ6N2bphyJYNK9z33JgP3LGRLdOaDW1oNxXtpqDViKkHY77yomIUarymA5W1gjCW1LTimouHPPzstCt8Giasdj0WVwPOLs7ww28/y4nFJR5+agOeBESEgRxA41DSH2pmWjWm201edfGA11014Dtev8De44bPPFLjkb11XjzUJBaa8VgxiBQqL30oB55pTsAaYmOxxuCJhCk/pEbEq67ts2vLiO3zEd/91jF1X9Kse4Rhg07PT1dSnRKOyr32DNxr784QSBIIfEk4GvDow4+0Dx5eufDNb3u3OnrkYLJj5+6/OQB/Yc8LzM3N+I8+9tj3Y+P/Mh6uMDPlA64mAlxmUgiBFI6xVYyTCIlFx+BJgWcsQWKpKUEjEYwNjBKPYeIxSGr0egn/+SMz2Dhi04YRl58/Ym4q5t1vGHL+xpAoEqnellBiblL9KaVBSMHH7q3zzMEmQmuOnmpw8myDWl0xFQimm5Z2zdCuQasumGoo2i3FTEszNw3z0zGb5kZs29glsat87Mtthv0mF223tBuKVkPSqhtatRjPC/ncwzXGA4m30XWLZhKlWVe87YYh9z9p6I8l/WFCd6BZ7WnOLDW4bFeLd7+myxPPNzi63EJJA0SpXvaIEsU4comZ/kjT6fu06g2a9TGXbR9x4yUjjp/rcOT0KtpLePqQ5s/vaSCUK1xjcv6gNYABa4nChB2bYt77hiHz7YRLdlg2zUESe4zDFnHssdL1iCNFlOg0DnKAzgDuYiKZuloife4SXZkRkEnJURiw3F2l3o7/yzNPPzHYvn3H7+9/cU940cWX/c0A+OlTJ1hZWrz4+IkT73/iicel7zmLyiSW2FiMtMTS1XBrCXGago+NQMdOJ0aJxUucBgy0pZZY4kQQGkuYCMZGMk4kofGIDCz029zzjMGS8BePuJENWJPesyxeapGJrCJRIpUijjTSaDwtaQWwa4Ol6RkagaERQCMQNOuSVt3JoamWZKYNc1MxG2bGbN3QI2GFX/14jQee3cjuOZhppOzdkLTqMY16SLMxpF5vECiJkqkGx8mBKPIYDQXDcUJvrOiPDL2hcS1zTZ8TZ6e45fIxP/6es/zKn2uOrQYIYbA2wiSWKPYII8lo7MpYW0NNs+bTqNdoBA1qQUSrHvLKi0J8L+L6i2K++40DtIrTJJBx9fZlUZ5KOmMkQkgCTwE+o7FmaUW7up0ki3nSeyyLGCgtXMvAnTlbWWIpToPW7HWSQGyc5o9jy2OPPSajRL6/2xt8ORyPnvurwOb/Z4Dfdeft1AKvfvzYwdsOHtgvGjWd2nOWRFpUUoBbKZeAkcq5KSpx2jBOQCc2/cJpRJ+kUX0W2RtRvDaC0EhiK0mMJjIBSWp7lW95llKAFsJlKhXU6paattRUQuBBoKHmW+qBoO5LGnVJo6YdwJuC6ZZhth0zNz1m42yfrRuX+MAdhg/fvYnzphXzLUO7qWg1FM0GNOoJrXrE6SXDwdMBNd9d0JBV+glGoWbXZsPm+RHdkc9wZFMWl6z2NK16jVZjmu9+4zkOnT7D79y+DS01FkNiEmJjiWLNOFQMQ1cUNahJGiNNPfCoBwmdnosxfC9xCTMvQUvXKCFlkq6qNm0sIa2/FynIBR2TVlkaF9ckicQYSWyKeCdORCnAz56XHmORvp+Bm/x1nNq4cUps4wgee+JpceHu/m27du48+IlPfGJ42223vbwAn2prv98791OdlbM/Ze1Y1muSKK76qjIFe2LSWu5EkKTyJDbONkySNMNmUpAnTt5k7xXPi0o55+WKPFAqa24gzeS5wEpLg5akNS3gKYGnrfONtaAWSGq+pB4o6jVFqy5pNSxTzYTpVsxse8z8zIDzNy3xyItjPnLvVmZqAZtahnZDOHDXJc2aoVmLaTXGPLIPnt7b4MINNtW9Rdp8OFZcf4nlovOHPPrcNIOxZThK6A91CnKPRq1OvTbNt712madfPMfDezaDVRiTuHLY2BJHNq8nGY41jZGlXlPUfEPgewR+QqANWid42mWHlTJpEZsrDUZYBIWeK4JzV0JsMkfKZPZryYrNgG0caIvXJSAn2c9Sxk5BnWQkFqfWZAyD4UCeOHn632mv4dcbzZ8HwpcN4CcXezKJhj+759EP//NweNKv+b6zA4VLfcepa5Jkd+OArVLwJ8qiTfrcuAZak5A/T7KMm80ybxaTZuKyZIW1llLmvbLiZqnqLKGjZJqxVJSKtlz2L/AVtUBRDwSNuqBVt7QbCVPNmOnWmLmpIVs3rPDwviE/+webOHZimgvmDdMNaNcVzbqiWYNmLaFei/C9EZ2RKxbzlEXK4pMlJtOiPu16xCA2DNI668EooTeQdOqKRi+gFrTYuTni576/w7//kOShPZuwKIw1JIkhTmLC2BBGLoEyDCT1saLmSwLfEviKQBs8z/n9WmW1PumqmsoUIWy1QTdN7duURGxay5KkgE9M8ejISKaPogB4+jxJGTrOSCwFdpKt2mk2NU4MUWzZd+C4H9rgJ37in3+XZ+3KvxVi5i+dzv9LA7zb6WJM8vN/fPt9/ywYHa416qpadpqBywiMFMQqA7LT5Ilyz5PEYrLnRmCMzdPIJvdowRrrusjTEtDynQmAl5smZOq5u5pyJ4l02ormaUnguwFAtcCNZKgHlmbN0GoktBsRU62Q2faQrRtWeXjvgH//+/PsOzbLjlnnsLTqkmZDOvauWxq1hEYtIkpC/vjzLaRSeNKiRGETGpst4R5//y0r3PV4SC8MGKQA7w8Vvb6iE2hqfkDgtbnkvJj/9A+X+JnfFzz43CaMlSTGpKBwhWbj0DCuuXLXIBDUPEHgu8ymr22esdXKOJkoi7LkHOBFyhNISQSXS3BuSxrIZwBOpw6YPLmWBY/kK262OhcAt8VjWgSX1Q1FsSFKJKdPHaod23/v/7Xjom8U/X7/p5vN5v+/AD9y9DDWmFedO/Zcve1LplousPTI6rnTIiYDiQRlBIkUJHl6OAN3Jj/ceyavlSjarxzQhaujyECdHfiJz1X0bqZ1JpKimCqtI3cAl3iedPUbvqAWuJknjSChWXfgbjdDpttDNkx3eGTvgJ/9vVmePzrP9hnBXLMkTWqaZs3Vr9RrMfUgxPPGnFyawVMCJU1qyxVBZpJI4lixZcYSxxHdqJZ2yhiGo4TeSFIfKGq+h+/V8PQUl26P+U//YIF//bvw8AsbSYx0AE8sUZykTG4YB4ZaKBn5KpdgngeeTp0rJV0uQJLKlNTCFcUxLJOG649Nk0KIPDlk0uRQli1OktL7ppCcSQnYxhTnO8NBJmcTYzAGfC1QwOfv2Vt/o77sVUL+5Xec+EsB/OALd7BxQ7fxqTvu9+ebfaRUWJsFUiLtenfAShJBkjbFJpk1JB1TJ5r8S1aBnckQmwPdZnIke/4Sn00KSkklkFLk4FZSpo0SmTyBmgeBb6jXLPXA6edGPaLdCJluDpmf6fD4/hE/88EZnj26ga3Tig1Nw1Rd0KpJGjVFoy6o19zF4VL9IQ/vEfRHPjVFepE5DZ41ISRGEMWaZk1x0xU9Hnm+zSByMmU4ThgMFb1AEfgK3/NT/TzNZecZfukHz/GTvw0P7tlIZCSRMWmzdNGDOfYlgW8ce3tFHb1W2Z1UphQyTqZZ3vVAniWFbAbwFPBJ7ryw7spr0ljKZKDOgG0p3kuKYjhj3PmLYsFz+5Y5vXi7f8Or39z4gz+5Y/B93/lNf/0A7ywfpj2zfXrfUx/7rZlW97VJOMYYlUoFgbK2uGKlSOVHCegqOwjuKjdKrM/aJUCbHNhFUzCp9s5PhnAFRUKm4E6LjFQOcFBpxaCnwfdwnUB+WmAVJNRTedGqj5lqDZlpdXnqwJif+eAMTx/ZyOZpzYaGYaoOzZqgWVc06opGzt4JtSCm1Rhx39M+q50aMzNFmjwDjEm1aZQoNs4p3viKPvc9ZlwXTWhKIJfUPEnN03jaR+s6UhouO8/yiz94jp/8bcuD+zYSGU2UVgC6slfH5EEk8+pCX0u0TouwpEDp7NiQf77sIsykisiq0igSQpN3U3o0pvSYr7wFuE0OdF7idXGOw8gS9WL6Ye+1m44c+d0f+8H3/MhN1x9ZveySnX+9AO+unKbfXfzJ5cUj3x6PF2jWA+LY5O6GMe6gmfISZQqgm3LDQX61p2BPkzPlL2peirlTpGcZuVx7y5I8SnV3VjGoFa4+Q1s8zzUW13xDzU+o12IatYhmbUyrMWJ2qsMTL475qd+e56lDm9g47bGxkTDVsCm4U/auSeqBY/9aENMIQmIzphcGCCXxMgbPNbhI2S31iyOPpj9y5QJhjZkM5KOEge8YPPClq4nX2Qa0lit3Wt73I2f5V79peHDvJiKjGSeCMDEpiwtqkSHwLL7neld1Gndo5UqElZTp8Um78rPHUmFWfmGWY50JcOckVCKmMrjzuMoWz8vvZbX6xUWSVjgaweKpJVr7jnz7Aw8+eXAcRv/6r5XBV5ZO0J7ZtuOJL//OVf3OaXxPIo2znExWnprZSsYWQYix6XtZUY8tAVzkByox5QMmSkxRZCVtec3MWLscVGbLbdqho9JgSuu0MygtQsqqB2tekurmiHptzEx7wFSzx8N7Yn76A/M8eWgTG6Y0G+oJUzVLKwV3vebsxAzc9SCh5se0myF7jljufaKJLyWeMmkQV3gU2fIdJYrYaG59ZcSFF/Q5eKzOhgZFn+M4YTBKWVgrtPbSeTDOu75iB/zSDy3yr3/b8OXnNzCK6i4ZFlsaaQ134OFArrPVy+S9rVIl+QqnpCgBXJRAzhq9UoDcVgGeVygWK+96K/Pke0mF8VNSTCcDCKE4euw0X7rvsav+3U/90I5Dh08cvWDX9r96gEfD0+ja1M7TRx/6b0m09E5h+3ieQpmEREoSZUvBhSwCj9xOSkFubQ7q8pKW+cM297QnXJI1bknK3JPgFhapMlswrXlRKWtri68NnmcIPEPgx9T8mFoQ0qiNmZ0asNIbcP9z8Et/splnDswzn4J7um5p1QXNmsi9cue8GMfevgN4PRgTJgmjYY2acheZFKWln0yzijTQ1E7L6zHj0DKMRAngBt9P8D2N50k3VUB6OcARcPUuwS/9yAr/+X/GPLh3jlOdNqOmZDqxtGJLLZ04EHg29f4zJ8Xm7J1JlQzg+edNP3QZ57lCTE9KtqoW4K5KSlfNWQL7BNCTCugzS7i62i93Bpw6u/zOz9z1UHL9K6/5v/buP3Pk0os2/9UC/Ojx/UhVv3G4/ORtInyWRr1W2EDSUvFFc8YueaZ5X2CanDHZcm3TAyBKB6aq+YpbVRVmJ8GNe8jYu+jGL4YDubJYT5t0zESSgzvwU3DP9llYGfKLf9zg9oc2sNifYcOUZEMtBXfN6e5GGljWA0kjsCmDO+1dC0Ig5EtP+axEPnMBlXpsRHWFShLX/NAONG+4dsDD+0J6UcBU3rFu8MeuVt3XDuBauYZsIV2CBguXnif5lX/S5TMPD/n539vEicUZhtOaaV/Qig2NGILIjV72lRto5GWBphR5EJw9lgP18oUpRN4rkp8fmJCQZWCX4qey/MhdmHVAnpRZ3GQ5A80XHz7I5m0bb9u6xf/jTnd45K+UwY+fGTA3V7/oc1/6/D8dn7uP1102ZGE1G5qjiKWlnOXKgWwEiS1e27LWzkGdSRBb2FCTrF2WJZSGAkGebs5cAJUBXFlXjquz3k7X3+l7Cb4XU/MjAj+iVR+i9YD7nk743c+2ueOBjYSmzca2YL7mZImzADOfXKV3kTJ3mb0jtB7zlRemGYSaLY3s80wyeLa6SaJYUfMUr7psSGwcwIeRcF3rWef62LjgUKezYVJ7LxtuZxHMTwu+/fV9WsEpfu+zQ+5/YY4zUZ1BTdKOLU1tHch1Gocom8YlNgV5dgxFUTsuQVKw+OSOgrlUyUZUMKnNy91DRe15xujJOsFpIXNdMihKa9JPdz0OHfsKM60t//Taq7/xSWs7+4X42l1AXxPgp06d5A8++gXmpme37j+6/3W75xdpNjy6wwghdDriQVX0dlJi70KSFOxdkSOZ1iZNJlSAXbIeyvaVsBPSJMvKuYpBN9rNpDXfKbiVq8UIvAjfj6h5IY3GCN8f8Cd3a375DzdycGEWL6ixuSWYDRLagaUZQDPtsK8HLttZSxNCrn4lSVcCJ08Wuwn90MdXCl/aPMCk9FWyCzur3Qhjj7o3YvP0kNVBi2Ek0nFrLlbwvCS1+VRqdyoH8Erg6iof3/maPtdfvsAv/dGID39uA8txk0Hg0fQkbe1qcAINviJvhtBZ0iefQ1Mk6rIEUJlUqmKlDHQqK7CxValZaPOJey5PRC5TkjTIjBIYxJJhbBj2lxgu73tdr9XYOh4t7z9x/Djbzzvv/xvArU348e997c7nX9j3gdMHD7Njbob+KEJKN88kn/SaCJSRaZ1Imu2yVYliTVHfkAWP+UFAlCSJmJAmGbhtwSZp9k2WAS4tSrrREwVzJynIY3ztJEngjwm8IUfOxvzOZ5p88stzHDo7Q7vhMVuDmSChFdg09Z6BW6bglnlSqJZq78B3F067OeYTX9HsP1qnlk7gytvFKFCej3GwTodHsebSHfBN1/f43Tvn6Dc07XT2SBCmcYMyaC3TsXWUQO6VTpZbFc6fl/z0dw24atcJfvuOWQ6dmWI5rjPwNE0laKRA96V1F07qMuWrX3ZcM/sQp8+LTKdd65NnxJSVTuS++VpLMe8iKtcSld+bKKxLLASB4NTiHJ+66wRvecvNHzh/5+u/IR50v6ZU+aoAN2aEEAFLpx/a3uDp3a+6bJkt83UGw7SuWyUuA2YsSglMYlKmlmmjr6BwSUQO6Az8tszeVuQsULBCRtu2ogMzYLvHbJSyA7dzTTL2TvB07Dp3dEwQjPH1mF4S8v6P+vzeZzZzcmkao+rMTilmfcuUb2ikzN3I0/cyrVNJpUnqnefg9l32chyF7D8R0A8DZgLy1jwhCl2bpV+zZE+cSKJI025qdm0PUcGIXthi6AvqkWWcAVwnaaJGOR9bZiXA6wWvig1TA374nQNuu/UMv/eZLr/zsTkWh02GukZNKxpaUFeWILaOzaWTKloW5Q1ZlnMNk7OOXJl0WKAaS2UypERkZRbPSDBj7ySVs3EK/qlAsLxS4/Z7unR4YfctN/nbv/ENrzwyHEXUax4vdfuqALfRcYSe2jDVij4aBp/x9LZGCiaDFMYtZdakgBZYmYLbmhzcOWObjLlLwE4BXzC2eIkMpS3ZgTYHdkWeyGxYUOIArhO0SvC9iJof4nshnVHIV56R/MndbT725TlGSQvf95nzBdO+oelbGoGl4RfgrgWSIJAEqTRxiaHUmUgB7nsu83n4tOX+xxuEkUfQtGsCzJw4cg3ujlcYKTxP88bre3zkC332nWgyrLnRDGPP4sfgRQYvNCglnW8tBVLIYrgPxfFMjGsHawSaTdND/tW3Dbjs/DEfvrvFY3umWBg2GSkfz9PUtKAuIcgGLGX2qrTVmiJROv4pk08WZ5UZPSOoSUcse12wtiixeQrsHOhp7REgLXTGgm7o8/6PPeZdf+M1Hz1xduUViyu9hb80g3eGF0gVP3qjGn58qu53oGVITLkuoACtSQdYFgxeliNVWZLfM2CnEqXM4JXCH9ej45g8TymbvNzT6W63oqj0nskRrSM6/YgHnhP8wZ1t7n5iiuVOC1mv0aorpj1L2zc0PEvDt9R9UtZ2zF0PJDVfUfMFNZ+0Qs+k4DYEntPfSo958QSc7NRcYiXVt9XESVE/4/ogHchjIwlDzaa24KLzhjx7LGYQeYzTGd9+iAOfyibrZokakBOdOYVblcqfxNWHv/eNQ956wwpffLLHhz7X5rE9bZZ6DTrSp+9rfCXwpSCQrhFcS7dLnRLFRarSrqz1As419SuTTF4iNEOZvd1FkHnfxgpi65g7NoI4+8cEyEQQG0s8GvMbf3z31L/6vrfc+LabL7+TrzI86KsCXCQHgyThN8PusaYnIQhGOZBzgBqR90CadHB9+XfMxGPW4V4BeOmAVHihIk0s5QL9bCVRaXeKkm78m5+5GTJioRdz3+Oazz7Q4vb7pzjXbSJqNbyWR1vDlOc6eeoeqeyAui/Su0xLTlPd7QuCjL0zgOsY34+p+SHWRnzpiYCjp+vMzwo8aVIdK4pG3xLb2bKtmiiGY48dmwRvvHbAJx8K6Ucew0hQ81y/qp9OlipWKZX71W6OOsVxtek5yRoVjPPb68GY975+yJuvX+IvvtzjMw80uO+ZFuc6DYbCZ+hrtKfQQrgWQinxRDYFwaIQJWlYtQ/XIfOKC1Ywt8gD0AzQSQZo6xqfjYWEdF57/g9lV0kCwrJn/6mmMeI3n3zx1GXA8C8F8Cn/i1jVxbRPIyxEcUSSqBKAZQHqvNFXTsiRKtgrJwFc7+Q6NYGVgLIEbDeg00kSkQJc6wRfR9RqEaNxwr6TcOSU4k8/P8Wdj7U5t9IEr4ZuezSUpOVZWtpQ9yx1D2qeA3fNczMJXZmpLN1F+nObgtzkIPc915528JTh2cMBeF66zNtSil5UUFAOwly9tCBO3DjnK3eNuXx7n70nGwxrgkYsCCLLWJFaeyZl78xNySzIQqvkPntu26p0+oDHKPSo18d879vGvOOmVe56vM+ffaHBkVM19p5sEK4GxIFmpDVSuam+CtDpY8bkuXShCP7X3HI3pQC1oQC1gVyOuJ+5QrtctJO1IKbPk7QtMbacO7LIR+96munpr15G+5IAP3LsqDhwtv9P7773ffNmrLn+opDrLo7RvlseTTq8xQG8CnQ7wfImB3kmRcrgLl3yFUawJc3nkhpOkph0l4eEIHCTVOMk4cwSfP4ezcETde59pM7JlToHTzUhCFANTU0rmtrS1Ma5CJ4bnF/z3Lg2B+LsLtO7SgFOqrlTcHsJgefY211YIYcXYM+RBp6s2oO5RKGoB88dhcxJMWk+Ifa4fMeQizYOeO5QzCD2aEWCsQY/djMBVQngUgqElBUmh0n7TeTBbNZHGSUeY8+nXQ/5+28Z85qrupxc6fKlR30OHQ+464kGp5ZqJEMPIzWRrxBSupUi7cqXpBlPyGXLeiCvBJqUs9SZ25KxcwnIJnueAjp0lorQCVIl3HDZmBsuHLF9/p75f/Cd/+qf/swPHX3f7NyOdcO3lwT4Bz5yP1Ecf/sffUI1u/1N7Noy5MoLQl73yhGX74rYMpNw4c4QjSAJJQbHFMZUmb2QIimwSyyesXX1k9lSxF6wdi5FVIIXJESJ5dBxwbOHFJ9/pMFzh31eOFynOw4YhwF4PqrtEShBQ0FDG+olHzjQWZ1GVjbr6sKDVJb4vsL3ZXoB2EJ7e4nLLHpO59f8CGtCzi5LxjZAa4kvLbpks00QeA7yxFb7HcPYQ6DZMBsi1Yh+5DHQwjkdUVEwppWpZCClKEWx2bAjBNbIgslLg5G8ROXjJwZjn80zIedvinjlBWOG4ZDvO9zhuSM+n3+4xrOHaxw6ViOKFQQKKxUISSJL2aA8SbGOVqmIc1uVG5jSYwbuVIYYA5FBC8PunRHbZiMu3RVy6yvHXLkrZucmy3B8oikGX/r28dB73/8Sg9v4gzy5d1n9g397QpzrSMKkwdOHPJ49GHPXwxFTXsz52yOuvCTkLTeMecM1IVjnNdebNtXZEowgjhzDZ4FkhcHLl7x1gCadX+JpC8IgpCUKLYORY/QjJyT/8+6AQaR46oUaB44HLPZ9xokP2gflodoKXwrqChrKUlO4cWYqLTxSjrV9T7ikRxncnsRPZUngQ+CTuiYuZe5pg+/FaUY0ol4LObeS8PkHW3R6ATNTAp168VnRl3gpZjOlgNBIxmPF/JzirTeNuOuxIcc6TYaedDJFgxdbvCjzrFOPXSbOLqQ860Tmf8NYXSmZSBKJnygSrYg9N/YhijxnpXoRTT/iNVfGvOqyMe963YgXj0ue3uMxDBUf/nyDw2c8EJLBUJOEKivfxOoM4BOWUTl9WwE4YA0isQhjXTeYtdSbLiEnrOEN1455y/UjrrgkYse2hCkP5ltgrSKKfbRKiO2j4sP3v0b96//68fgX/sW3fH0Aj2LBFbvr779w29mrn92nwKuB52FMzMIwZqGXcHg54cHnEj76hZgNszHWWK69OOS9bxrlvXYbpgzXXBnSrKUXqBV5DmztORf5cJ7OQPD0M5qlrqRekzyyx+PTX64xihSjSHH6jI8Rmsh6GOGB1ohAo6XEV4KatNRSYAfKEijrasB16vnqgrn9rC8zB7dKezRFzt6+Z/D9rEArydnb9yOUCrnnScUnH2qhfO3stor+fmkGz7zwJMkcD8Vo5PGOm4fc/pUuH/7SFP24RjPV4V6mw6MsKWPzbiEhZA4w96dkSeuLSilFnEhi7Zjc04pYa3ScOKCrBKXcIP2ZWszNl8TcdEmEFWPe/foBo8ilzj/15YBH9/jUA8FiV/H0cz7dgUxVkuAlRXm+84RrDbzmmoj56cQ1QSSG975pxDUXRVgDG2YMs9OgcBvzJoliOFIkiU4VQsJD+7pXn+vMvN/T/PDXxeBnF1bxgqn2Rz71Py85dLKppGdQQro0q3DToNAGY2LGJuFsx3B21S0vLx5r8Ol73HJjE8vUjOHGq0NadVcHvG56snypp67Dal/x2LM+3Y5CaulmoljtmElo3FxgDVIjpcSTwoFZWgJp8KUDgq/AV8WMPgdyUTQ8aNcIkDUel8HtGD4tq/UyBk9K95hAR1gbcnLRJxzXCKYkfpr2VlnbXjmLKSjIq2Sd5t3pRhFGHjMtxXnzIb4YMYwDhrGgrt0QzKyGJEtoKVkub5X533J/I3O1TJE9NSbtmSykURwnad5ApXPZY6I4QUUul6BVgpQx2+dNumIYLjt/RGiHSG3odASPPatZHUhUrliqQXXlTKfFWM2a4VVXR0zNGGzsVva6csfOyVyNiSWhUSRGpfZzOqbPKEwCm6eVeut1/Utuec3fb//sP+50harWp6wBeGd1mcGg+74Hvnz29eFyzLamohNBP5GExsca7ehYZoN2klxHxdbQyZYgZeiuWk7f0yx9xfUAXtZv6ckRApNtuUBacypUEeRImVpZGajTtLMk3bg1841LjzrtpFekW++Rg9u1dSn8FNy+Ji8xdQyesrg2+Gl21PMigiDi+KLhj+5qgvbxpCgCzFyeiDUMXvaHsyGhDmyOpcLI47vfOuQv7hvywtkW/cSjEbtNaV0VoC06cVSWEygHe1npYiaFZKnAK7ubvBZGa4WXuHkpXgp0JYukmasbT58Lkw4OStDCImzCfMPwjbcYEEkqMwGR7Z+xzjnPa4wEGEUSabJ5LHEkicqOXMm4SEoAjxPNaOyThD6BWnj90sKJ9xmb/OjXZPDnn74PJaU/5S2yfQaOL7vZJVhXWRaKzDVRpXrWbNOjzN5JnytL4pXAvS6+M3bLAF4NXoSUeQuaEuAJl1YOhKsW9KR7rSVpTUXaPZ4VEmlKc1BId2YruuoLgMtctgS+zVvafN+UBufEeCl7+zpCypCjZwQL3RpCawJJRZ7I8tcqne6ydKgAL3U6wthjrj1mx+Yhe8+MGSaaUQJBIvASixenOjwmd5aKFLqqdCpksZ2zcbM6a1GSRgadGBIlUTrbvlylxWpuWxkli7uQBpWCXGR/GzclS0ibu14Z0DMHbD2AF8m9Ii4rNgHO7OQit2JSbz9O3MTaUehzerHJ4TOrPH3gC/56AFsD8LZ3AIHg1msWOHAqZt+5AKwDj8DiW0GUOQCkdSaoUslkGchfS5aQduWUCuuFQFKkiLMxy56weCIFbTZ+OX2ev5eSfVEKSt5g6yvhwF4Bt3SPfgb0LPhMwZ11/2iTSxRPO33q+xExEZ/5Sp2zC3W8KYVfruEoOyhMKNJy6jrvgCqSPqOxm2D79lf3+cozI7pxjYHW1GNDmKbTlSwKorKCMyEMRedQFmgKKnUfJp2pYiFR7m9qI4iVQCcy3cXO1fLEKdCLZJopSjWkKSXe0ueyDO7U5s33inmJ818qtINydjvNm2RWczmhmGbTAz/izOqIv3igx7aNR7D2awDcjj4MqnHL6PTd1z+77wjHVjewNKrT0OQpW43FLxv2FCnX/Krja2+8kguSLFkgQGWPwqIht9pUmjJ2800KjasyYMt0oGcqT8rAzuegKFw/4noAzwLOTHfrTJbYVG9Xa8l9L8L3Qs50DE8cqIP23QhoafP0fM7gVFk8Y67CBy73pcrcE48ij2svHDM3PaSz0mAQKxoKvNh9F5W4AUoqKgMcB/L8D8mJSk2R9k2mNfrK9dJ6RpAoSaIMiRLEKcjLxWtZOYTMQF4CdVYyITApyElLmrNMdJG0qxRjVOpXxFqwlxKC1RIPNwa7VY/YtmmVs90xK+HM9e/9lltv+XdXffaBn/vHb18f4PsPW7SKvvHAweiaX/2w5pEXG9S0s+/0RE2zTTNP5M+rtdwG1gkuKLKTJYC73YVJkwfVkWuqBPKMsXRWG5HWgGelnq65OOtUcbJE5d0rBbCz5lvH3qnm1uR6O7MEHWMX4Pby6sQIQcQdXw74ynMtZKDxpXDzt/MKwqKNrqj4m8xmprU7OYu7QDMxiuHI46YrhnzTa3r8zh0twiSgn0hqiWUck65c5ao/k8o5M3FBvRSTg9Ey777KwJ0oiVLGMbqU6WgJUypFLtcA2QLklWxzxuTZIl2SqWItmZdH7hU1LNWcSbkYT6QAt8ANl8T85Hcc58t75q/ZOrP6jVEremBdBt9/6AQz0623fujP7vquD/2Fz8GT26lrj6bnpIGSRV1I5UPkoC7AXjmJJcaGQh6WwZ0BQJZAISlqHsqjDTLmdluQZK9JGZy8DavC4mk3jKeq4HbjFCaYO+3Z9NP2Nk9nDQdx6R4REvFnX2qT2ACVZy/LAWbR15g5GxUNzkS7npFuOlSSBZsagcd73zDgjz8zZtVEDJMaw0TgxeQsLtOZ61nRmbMLJ9dPSWFNihLIBYlORzeoFOTaooyTK27MnqtgdNljmZcmFxZlubqzKGPOm1JyoBdSZS3AKzToXueOUwHu0m9gpMCGAkGL171Cc8UFZ5jd0v2uLTveee+3d07c1ZzaXgW4SSKiaHxhNBrtHi5HbGn5WEwFeGLiQ9nSGlMG81e7CVFi8pI8yYE+UZ6Za/EJzZmBvjzbQylRaPG04q4y7CYFtlaicFJyO9B13LvGZJsydxFg6hJ7B17IEwck+0/VsMpDSYkvDXqyTqMkwCddlOyedzoZUfKrHcij2GP31ojLL+jz0It1IuUzjAU1CV5i0dlmAiLtwolTHY50cqHyJ0WJxUVJGhXNvVk/rVYmnyGpUulXgDurBbJpmUDG5OSrhyiBG5FNzFqfvde7FSGcqDyv4sgSC8s49IAG4cDS75nd4zC8MI6Su9Yw+OmzK3S6I8LRkLmWIcEQpaO4qtdPtRSy+qG+2scvfqNcbikmgV4Ct8prvgvbrZAswnXPiwLcLsgUebe4zsEtKwAvD/9x3fbkwM6zlTlzJ/jaJXZcV1CEJeLPv9RgaamOCLTz3csX4WQNSkE9FYswmyZQruPOvWmjiCLN/KzkPW/s8cSBNuOkxkD51BOnxbNyViVJwZ2tFSb1xMvRkKwwonMmbOkCKzf6SpTJViSbP5f5tuqpBpfZfkeZNJFFc8Qkg080rRTpvvWt40klMAnw7JbNeez1QLVDovECUTTKf54D/Dd+93aklHQ6q3haIXEF7+vlZ9YD+MS1t+4t8/8LeTLxWAZ0mcUr48UKxpZlBleixOKZXJEoXQW4r9MBQF62dWCa4dQWL0/Fm/R5Urlr5Tp3XjgKH727xVj6KKnS7GX1QpzMYIqXOFK5k1JyU0zK4HGiCRLNe94y4g/uHPDMoTqR8hhIiZ+Y1D0SyMSWjpN17WWivKaa9G9V9y0qM3liQOcWohttrdKSAJXYYlhnPpdF5Bd0PKHHBSUWF0XQWRqwW9LlX/1W0ecTUqWYTuAyqIPVFzj8/HGsKSSaBnhi3wmuvXhb42d+4f27nn1uIa9Ok9giCs/OyjrA/irpm9IXmny+Vnu/tEQROXAmxyHLEmNnQWY2tUnrbJPXVHurCXBn6Xsva0w2bmZI3iKW9XTG6T1CeSH7T2p6oQ9Kp/LETpTHTl641QNSHWg04YWn3ThF4kfT9ASXbBvxzP6QxAQMjU8tcTXburTvUZSxeM6WhizILJi8nEBxaQudDzZ172UDU7Uh7SBK2xLThuRsulaSdffnBkARXOaB58T5zhCzpmFi4rVd86QK8LxCsdQW2e2D19i066Y3/qOGjb5vILzdDuCHj57m3MLqW4Lm/E8urjyLp9xBkaoIINeVJZVgYC24K6BO/6/8M4HL55SBUAC76GNUJVZUlaGaGcgpaqRVCdT58zTJo0i9cAduB+BiKJBXlidl9lZpX6cfstwz/PePt1ga1hCB5+SJtJVVpRic8zVEW15zJNKdV8oM7hyVONa0G5of+5YeX3yizdLYJ5SaoZT4aQ9lMfIhZfByPb0weRmtxaTgNljkhLMiUga3eZCegV1JkTK4k0RJ7qKQy5RChxfthIVMyQLPAp6VY7POKjcJ8PKKV05g2dJ7vu6xbUvzJ+PBEw9E4egvIGXw55/ZQ63mc/jQUcIwJmj6lT9Ytv+qV9PXuE2c4OpgxwnWpkhruzl5kxKlOpgmB7YUSFWMH1MlUGsp0akk0TnAM81t8qDS0yYHt6ez+osqe3sqwvdD/vRLHs8frIP0kFISZKWxJWsz3yM+/ZIvWU1IweZFd3kB8tjIdJMnjyt3D3jna7r8wZ01jA4YSp9Aijzpo6QgKgV0k0wuykw+4S3nUkWBsm5VMFY4cGdTwtJhqsVYiWIWTTGZ1slaIavyJHdWKhgoXn89tzWALwWg+QVkYhYXThAZnyQekwO8Xfeo1XyaNY2nBeVOlGLgZXmyq/tXXxLk2ZcouSXu7aww364ZKFPxjPPAUhRsnjPk1wK4LACuSjXUOq1L8ciliKcKt8QrDQcqNLdjb0+7qVUrHcOn7mmx2AmglronohSMvYREQYgqk+cnaR3brjyVIMncFM1MW/HNrx9w+1dGLPUDQqUZJjK1J0Xq3oiiGVtOJlYce2dvmZzNs3EOAp05Kyp9ng5RNRISVezcUQa5kKLUfZ8N8UylSUWPiwm5IqoAFxbxEoGkFbZI75cZ3ZZ8cWkRKGITYGwdk17Q+pEn97Np4+zOz3z+kR/fd+gM9UDh6yrrlLNh5ffWwXXeVilKrysnuwT06l2sL1GyxEkF2NXZ3+UOFzfcnSq4s50NMuZWJeZew+DZuIli5IRWLnN5+IjgxaM1DAFC6rw5t6geLMcPouRqFF++XItSPbbllH3hqLjiIg1Wc+mOkN1bRiztrWMT37F44mSKLrk4BXuWC72yOiFZWLo2ZXNb+ORGFnNKyrGNMu6iMZJUe2fnpSCjHNxGpLNUMk0uJqSKmMCDzV+sD/FqB9jksQPSMSYeyfgE7eZFPz6/9fVP9Vb2HNFaJiTRaHMrMG8142WmW0F+iZTTyS81BHPdjzOhqSZnaWSALqeyK++VVpDCmRClYLMAtGNw0lHAZR+8fE+3tFZlcJdAnu5X76WloRl7q/S11hFKRXzmoRb7F+vgF/LEK1mXlQuWteMi1jBTzp7VVLQp726WldGGmgvmQ95+04BHX2iA8YgTp8W9JM3uJlWpVDBn2ZJLQW5tZVZN/lymz9NNC4zM7u7YJ+mKIUXK6iZbYYudPYqET/l5ytKl9ra87aUM7pc6XqU4Lz9e2TE0ABIpFMPjA2a26rc2RvHm8Ugc0c2660Ocn1bs2OJhrCSOy3vmZP+gnRD6L4XuErBTNL+kPZgdBKpau5ApIi8DnQR2zuZKlJpwS+BO5xMW23awFti6GBCUj3jTJgV57OSJiqg3Qh7ap/iLe5oMRz40NFoKPFGVJpOfv/ydX+KcVfX3hGVY9sWjWDPV0rzr1hF3fmXAI/t8bNNjmAT4gvxCU/nfL3RwaS3NQV7ecsoFn+kFphybJ9LpcVNi7SyoN2lwKY0o6W9RCnSrMVShu4u4wL0nJoDO17xNTkHLE1SJa9Tp9GpsWdJMbxAMhxItSLA2ouZb5qd9hmPJaOz2exEJGGHzK3wS3JNp+EkGz9l6DcAnJUp1omkRXIocNPm8PFXavUGJtDalAHcB8qxs1qJ1MUJZp5swaVUFupeztbsr5QJM3w+JwoQ7H2zwwrEGeB5CqhRU6dyQUnApZPWkTrpGORvlLJRasaVMZjaCI9PimV0YhprLzo9526v7PH2kzjj2SaTH0Cj8hInPknnhTDC4e7QTnwWVXWwGowQqaxKXAqvc4J1Mj+crqgRpSrMMTbFqyEmAT8YlTAD/68x0lgGeFanFsRuSNBwLFleg048ZjSOGwwh9/z2fQyrFaNBnqumBgNi4KjOb+oAiZfDyH/lqzF2AfO343fWYuwrqjLHLAWaxA0EhTUpWYc7YGcCLyam5REmZ2zG2zZla54/Fcy8NLrWKCPyQ544K7vpKg8HQh6aHFFnlICV7cJ0sZul7lqkgq0Vx6EorC8tuSjnhUyrACiOPVivkbTePuf2+EU8fCkD7jIzET7W4Mm6D3bI0EAm5PCCZyCCWyvq1opAu0rF5tqpkQb6xDuzSFIk2YcpuSnrOTcHskzmONQCfAH31aLHG0Cgnq7Ld28IY+kMYR4LHH3uC/S/uJ45j9NaZ0wghiBsxNRVz4LimY4o/JkUWOH7t9WNd3zv/4KJyBa/L4rIE9rLmzkHu9HY5m6lUWmGYVhS6dq70uS7PB58Ad3r3sim0aYG/VrG76wjPi4htwh0P1Ln/uTrUNEjX0OyVSngrpbHle/nFS7FRdicrZyVvRk5sNtekAPp45PG6Kwe8/ZYBzx+tEcceViiGQuMl5J9JJAWLFx9hfSYvD7FXKmNux+butci3gyzcLAdyUw4yUwbPh3ZOgLsScFZAXrgq6+HopRRxBnTS7xzFhlOLMUfOLqG9LtZadLO5CkiUHLLSjzm1NMN4RD7zLmPVrwnu0v9NMnbxPIt4SwAvtXWVdxaoALsiVcpp+tJdTYBble662AQ1A7RXAnXmnDjHxD0qFeF7EU8dkXz0Sy3AB+khhMq7iFS6kWo561p2hDJYifyY2Py9coFawdwlDW4FJnGtey4drfL0vbWa975hyOcfHPHYQTdJIDKKQSLSgq8UdEkGnFIdSAEPIF2lFRWgZz9VKeiNTPfzyYLiTHvLlM2Fe8zPoSkN7JSli7+SACskSXG8qoHm16TU9Be0BL9h0XrEC8d7LI6btJTrP9W/+amicntpWTDqxWyacr2JGahy+SHW+fcnrraCuUXpCk3fozRldUJ3F1JFpMmCwnrKAJ7PySuDPG1NKzabcjs7FAPwC3BXWLv0mDXWZlJFqRjPi4mSmHsfqfPsgTp4HkgXXPrClibHlgMrsSawmpQnGXiqpQ+i5GpQ1eJpK5tRqaOSaMahxxW7R7zuRsfiw8Sx+Fj4jAzoRBSBX5LZhQ5QhURxH6DsipWdMiXBKou0AmVx2U8rEFZgBUgrCqlSCioL9k7Pqylf+KW57uvkQdxRmtDi6+nyidVSSrfTxo4tMZs3DokIqdc9B/DDx6YRQhCGMSQjNk+TZXZzlpUye2WrV1du74jKBymb+fnPSl8st68mHJPqHjET9SeCfO+dfPfirPm20vBQbF2i1AS4S0Pxc/dEJShdAngqUXwdsf+04EN3thhHHjS8VJ6Qt6ap8i7B+YVbxB+VszB5s1Wgl2VKeXMAY9fT4ppmIPmetw244/4m+066iy8xikGiXJVhkiZ/EE5/J+lYjomVJE/ilQAubaHFs3INaSxWunNkpXAAN6VYKWNyU46l1lnZSoAue/RlEiwT6uShKxRBaeXErSz9oc/m6WlmphRKKye5bv/If9+0Y1Pw/3QXj17arllqflFmmmcKc7DJnGFzTVyWEyVJUfx3qYVXkRvlPSyzccDpYzoeOAfuxD0bmVD2uPNHXehu56BUwV3eq6copkp3f9BR3szg6ZBEhvzBpxv88V3TEASgaiilaShLXdl0HAV5g7NXao0rMqnlRJSkmAxLJUAtYonCdswuWiFJG3+LXkglLcIaztsccnJR8vizPrFwkweMUAjhSmnXi3uqoBG5JhHl16UESpYPKS4GCucHJjR8tbNr3Xv5vym5SfmQViYeM1lUIoKC6wv2MEAcS1a7HsfP1hCNWzbX5t7yBT3sHJtuBr1vmG1bBr4iSZewCrNOBIvlq6mqmUpaqmwBlZ4XCYCyezJRg1Jm7UoduK1ob5mDoZAkqqS9Vb7TQ2kjKmUnJElWKZixd4SnI148JfnIFxu4+SuOvfPO/ezvCyrjhWXpe5cDTVF+UarIrIDDlGtDirmCLvBMs5pWYhJFolItnmi+7Y0DPnlvgz0nPJAhVkhGiYcmrRfJjnWSIiPJEj8ZVEvSydq0ctTNxso+m0yBJS1I62RLpruldX/DmtQfN2mAWlmdq2y+rjSpXIhl9l6rz8teupHFoNExzlFZXIkJ1eo3LKwentYnz/VYXhkhJQSeIpYmv0rWWF1l0E4sIbktmH+IMmOI6r+1zsUzqd8qNeBpMqG8j0yhwYutArOd1dQEuN1EVpM+OjtQKYPK/G4Vo2SMSuVJomI+/UCTPfsL7S2FdN533kHDuidQMPlaFCenUCel59UG5IonXppIpY1wtSmySOGHkeayC8e845Y+Bz8SECYKhCYRmqEQ6CS17zLyyTmv7E3YIgROadJat2O1q/9w0sRam2rx9C5skeIXYKQDvslkSskHL4O9DOQ1YK9gbP3HSftZ2Kz4wDF9lLhGjkZtzHRzgB6ONaOxJIzSpZWiJ64M5mryZp2rKjuRovo7lQ9UOumTiYD1mxuqrJ29zlg7A3vG3DnQVZnJC92tsiAy2+JEGrQshuYrleB5EYdOK/7HJ9qMpEc2Qavomk9XkHINdFlPVg7MS9/y8ofc03V0Wd4Fowg0ZV4rnoE7MZo48QiSmB+9rc/H721w8JQGFYHRRMJjKAQqKRwNWQ42J0CeefMW0NkFl74nrUvPW2zK2pknbipsbtO/Y6RA2GL1WGsmpMAvAbcM9vU0eDUQLT03BZFmyR/fkzRqPvVaDT07LYlDmV65LitVliAZdPMAqhRlVmOpUjA5cWFUggvJGtarNDfIklQpsXaWSKmC2xQSRVYZXFf87RTMFb+7dJeOxT0d0g0Nv3N7m5PnAlA6tQZlKk9sxffOn1dWuzJLVRNd6wKdsibNGg/KPZpZCl/m97wZQiqSWLNtw5gffGePX/qQTydyAYG1krFRzjZMss9hIREUCrsAefH/7icqvQrT+U3FoywcHyltweC2dO5Sy9DmDP4SAWdJnpgKxtZKl6q5UZWC5Z9lQWu3HyN0iH7ucMzqSky3nzAzpans6ShE5QqqSJDSXxPrfbgSqLNrpuqJrs/cGbAL1i6mtObsnRbcF4AuMbk2KaObXJo4OWJKUiVj7Dh/1CpCBxEfuyPgA3/eZmw8J0+EyuVJ3lQ8YYlVdHcuycqwXh/i5fLjwiosgz5L2VuMMXl2M0/hG7cVeE3H/PC7+7x41Of3Pu20OCgSIRkZF3DKhJzBiwKs7GSV64wKu9KBupAs1qZsnrGlzUpoXamrrSR+nIzJ/lYGaJORHJMSRawL7spj6TkTAM9+piRMtwwX74iYn4/QOzcqFqVk9ZRCK5nbc1UWnwD4en9owveunPj033vJ1jRZWkYrEsWWgsx0i+7yloGq7DqYklTJwFxicllUB+a6O390swaXV+DjX2ywMs7A7QDuSae9tajKk8qqk9llk2wzge/1qjMzh6BS1Te59aKZqBOXEmUUxmjiRDPlJ9z2pgGffKDBUk+BjMAoIpwen6wurF5yL83kLg9UJIWy+pQs2LQpi+eATn1yY2HtSu3edCoplTJQXHDrYKkiUybIdRKLIr3wun3JiXM1+lEDPd0SxGNFs+G2rCiY21a+f3UpqII5e19O/PHJdrR1A7Jy25ModHYBHFvR3oWVtjaozIbTFOBOKgFmFmRm+9zoEnt7jZg77qnxyLN1TEl7u6aGTJ5U603y1qwyu1T0+NpltHpL2TO30AqJMtkMYctBp5UoW/jiceKhTcyrrgz5phsG/NFnfFAhCIkVgrHRKCHcFiRZoCkKUE/KlbxU2jq7NmN2JQsZZWWpUEy6GS8V5rbugrclDJiMxDK2ttnPCoafZOwqoCfkcZlo01ssIAxhtWeR2qA7/WK4vO+5pUmUvvbkPzj5j75U9DupSTOZkhXF57p1grGFmGBvUQV24aKkr5VFpyPGpEwdE2lTXV2SJJljIksSRTr3JPAiDh6TfOiOFmd6vtvvWrpB70pQ7NgwES+s0d1l33kd9p68VRI9JWZfs9VitudRpeve7Z/jHt32J5uaCd/7TX0eeDbg4FkJIgIUBslIyNImUg5UGahzG7N8wZX5PM9mpuehzObCPc/AnMmWbCV2P8tmv6cypdxSlx23/HNMVhaWgV+tShHrHNvsuDVrgnZTOgYnFrQbDmyJKWnDdfiGda6usvDP/nAZ0AhKS2RVd2dLV37g8/rqEnOrDPATIM9nZE8+T3LtnbG4zsYBqxglE3RqC/p+xDgx/Naftrn/ibrrbZPaaW8pXdeOKOav5J81W1nKF/M6TF4+duXzsTaDWbgWxR7v5fLZchmtazfL5mUniSGWGhVrXvfKkB96b5ef/S2fcSxdBspI4tRVkUaUPluW8yiX6rmWNEqfz70Wpdgg7a63YKVNA0yRXwB50Jlf9DZ3Wiid/0qwOIGfAl+2EguuRxjZW85FMYzGMatdg/Yt+vzNA5reiLMnDYNxsVC9REXsGkafZPDyB84+YKWBeEKTFTp2HfYu7T8v15Mn0ubd3m7bbFOSKKWxv5nuTmdc58GljPH8mC895vHJ+xtuSlJd59o7Z+88sKVyX8/br0T0ZAHn+vRdLmzKRwlXwA1uSnWJvW0xT1waJ1XywfCxpt6Iue11Q+6+f8jnH1PONkSCkERCM6QkJSkCwJytZamUt4QFZxFmoE4/pwSVfr/stbVZeYfNXRQpHNObNEFjM/aWk1hZR55MvH6pm0gBnhhLdxBzcjlmQIx+fI+m31UsdSRBMFE5mF8apbfE2udrs1HF3Iu8CYD1WVyU9XbZW5YlxyLTv/l+6u51rr3zSagFsLWaALoqwK1TcPtexGrfcscDDfadrjlpIlxJrMi0t6A0QcquAXe5HqJwUL6OM1JiHazILbnJFHYO7jXDgYoaFSkV0iRIo4nGmos3R3zTa/o8ssenE6bpV+P0eIgi2wdCknrjlTLa4uRbXHInvyClc1tU2tJWsHkmVdKEj0hryHOgl+RI+nURWQViqfu/xOhlIi3kVIEz+xKYBJhta67cpdiyWaI3zgZoPM4i8mhYirWnxhZ/8yUAXgq41gkuBTa/eAqLrZosKQLMAtgFuDMfvAguZT6Y3VYYuxJQZomcsosiXae8IeEPP1PnA59oYYV2vneFvSm0t1znc5e+H5Vj8dWX1Oo8j/W88LJMWdvKVgyDN5hEYqTzxZU0RImHVIYffteAA6c8PvBJTRQXIDcIxkKiTDZIIsvqlUCegzrTFZBOfku/ky3axjKgCwdkmf1nIpMqxYiJLB9iU7BnwHeYKFrt8sOWHctcTqXH16xVGBnelHRJsZWOQHoCfXw5oteJGYSGaa+o0psk72KqUHUq0VcLLMsDNQu2mxgzVpYqJY87Y/ZiJl7qfU84JjIDt5qQJxN71qt07xmnwSM8P+LAGckn723S73tQV2vZO6/5Lq0uokjwVCTZxPPsxHwtDreFBijJgUyLi4p7YtOmgxzostj1wEinxaXURFFCqxnzrlsH3PnlOgdOp0kFN6CaRAiGbq1xn9Gk4LYF2G0O6tQtIU3+kC04mZOSpe4de7sZ76IkT6pAzySdLJOiSJNCJQxB4fRM4q0s7cpIz6YN12qWDTMDNs5p9ErXo9fRDEeWuSnwPJtbQ9kJKHzb4l9b41G+BKizDy0zzSUmGdBW5InIZ98V7kkO7oy5RXkwe+acmMp2G7IkS6RMHZOUybWOGUeGux9u8sUn6244uPQcwCfYOyvyUkJQCYYpB1ETTD4RYH6tW87meeq+uBuTZg/z3aPdViROd5tCphhJIiQqkRihiMaaN10T8qZXDTn+WY+xcTo8rYQiRjMSIE1p2yohcgM7S/2oCVjlteKCHPhWiILsrTunVqSBZwXoRUbV5LI1C3oL+7KI62yJyQviKHYTKR03kQW2lumWYuumBlu3tNC3vGLH6skTyZ0HTe3vNWsJgZcVrhQdJuXERGVZmIh2J0FdrpOu6m+ba/Ni+cpAX2LsHNgZ0Iuy0apzUtXfKk+/J6XnMVK6Th3px9z3mM8v//4UidWFcyIVQki3D5Ao0vJVBi87Puuz99eRxCxR0HplpOUGiNQbJ5t6lRZjicJRyTW5dN64MJo4Nvh+wk99f5d9JzT3PSoxvkgh675AZBRDyoLKlmTJOpo898LT1Tb7vGlAmelwkV4AhmKUhC3jAQqffE0ThK0cwzUDgkoXWlHWkNqRQBxbtPZZ6MzfuWHrRavqG9+wrS+ShYMzLfNDjWBEzXe11Gu87lIAVQ4My2n2SmJGrV8wVS6SKlLvmR1YpOLVZHVgKaDMC6peAtxlqaIrCR3Xa3liWfDLH5rigSebblMe6aclsR5aCuoSAkm6yZVdW7tduacN0PmQnOowoqzmXaqJhunScStei9JFP5HVLZNBaQ6gmJR65Z9ZmJ+LCbTlkWd8Voel2oI0zMymiBcVh+S2nFhzdX49y5KoytqKW1Se9138btkqdT+r/t66lmoWmxhLlFjCyDIMLf2hweBx+Oi57/3yQ8/u01fuXkAgMSZkPA7pDmqs9HzsUBedJTnQS0KfKlNn75eZuhJgphdG+XcqfnJlW4yqNJHraO5sh4F176ocWKalsOnzxE/40O1T/MU9TWxNgVAOnUIjpKz0Wxb9jV+lY77MPpMZsRIuym9P2rCTgHDPq932kx0+Jp0faFPmttYUNSpCIo0iERo5TLjt9UNeOOTxvg9qwiAu6UuBNR5j0u6qLL+eOBPbYkugdMkXS5rdTAfHpwaQCzYzRsaxuRTVBSE7/1ZQdBplK3zirjJp0/dt6VrMko9ClI6PLbrqY+iPYHUgWOqDtwJ+4H6uf+VjI8JYsXF6wBtescqFWxsYM09/oCvOSc7oE/qoONmT45Bt5WeTFmHhnFgmR/BWwJ753SIFeEl7VxhcJiUnpQzuBFmqPfn8owG//9kmoySdgi8yazDNWgpb0d7rpubLQK8cgwm5UgH7+uxn0+Au857XZDSxa0porSxlNmXJWRHKFWbJtDhLGhKjCTzD97+9z4NP+3z+SWcXZt44UmCsZmxcO1peRDJpHaZIzaWUEG5vPTEB8qzpoaS5s9/JQZun8wuSsA5ShWSh+FlOqraqyctk2x3CiU7E+dt6vOt1y+zYohiFoB98dgYpJOO4zucf93jXzSEXbxEMRqq6u8NLBpAT71WAbyfYeh3nJAN42R4sg1sUO3upNTrcVD3wSfaWSRFg6ojBGH7+d6c4dDLA6mK35Ir2ziRSBdgTgGYdMOfHvRIRfVVBPjkGr5rRLBdflfX42toUI9OKQ1lmcYVIDEJoZGi4YFvEv/2HHR78iYDeKP0yRuafK0EzypyyrLjbFCC3EjApqC25w6LSgNJK0q6kFMwpiIskTylnUPodaUspevtS2BLVEtz899INx2qCLfOW114/4BtuHrBlroVWNaw16Osu2oTnKZaWu5w4FfHkcy0GnYCNczLV4ynoSDU3VaCuF1BWh6BTAXQV9KXRu+tKFFPywUt9iSmb58xdcU1Ku/OmnrfWEXECv/GxFk/urTnPW2bMXTgnnqjKEiWqrC3KYJ9g7jRyojx0cz2+XsPkE85J0QBBUcxkXTHTmmpD4Rg8DzqNdCBPJEak9ySVKsZw7aURP/atHf7bn04TJimLQx4VJijGJtPiaa69BPJcoohSllO4DXptmc0lCFMwt5RF/Xk2KFYIqs+z42xLss+WfyYq5ALFVDPfl1x4nuLyC2YhqtMdbEQHbayJ0f/kB99Bu9Xk8Sef5eOfvIPptnYRdraTV3YMyiWia7apqLJ3udN8chh6tZajvIFRVZYUMqW6P2PB3kmhy8tJnco9DSxrCV94OOD3PtaiM/ScB5h63qRNus45KbKW5VJeVfnca/V3UZNTnWJV7K82AegJ1l6D9wrQbclZKbN2OhU2kyTlJJBwNmIiFdIaV68SK9o1ww+8e8Djzwfc/ZCCRpwydfoJpSA2khFZTFGA3OJKY8ltS+d5p7GqK+vNJIwp2DaTL7ksEU5nV/zvTNpmuClJlyrIU+sxwx6ugdvXLid7erHGcgduuPkWztt1BeNhHz3dDmi1AuZnfDbOeASB27N9sudQ5pLNrmG1ypiwCb09CfSK3ha26oOXQF3Zrk4UO+w6gCdVv1s6K1Dm+6q7wFLKGKlj9h7R/I+Ptjmw5Ls2+NTvdo+yYO9Sw3MF5OvJk4o0mWjMfmnJXcjaiVqUgsWLxEreCMF6afyJIUFZIZY1+aayIpMqwiKkRkaW3bMxP/qeHkfOaPafFFhdfAsnTzySFORMgJw0MFS59Er9bkhZXOSBZlZkl7P4pHTJjltJlmQXhrsIypWGBdCzz5PVh7njYBlH0B0IlmPJak+xOfIYhR56GFp0aOkMDIOxYaqtCPxs/EHJ+stLV8uBll0X4OsGlrIM9EKeVJg7lSoqlSEFk5d0tzLp68lkTgF0pRKkjPGDmDMdwc9/sM0nv9TAeqpIx6fSZD32VqULcK1zUoB7vaROJQEmSqAu/U6FtSfAnr23tialrMMzQJcD0KzzxzG4FNnzNPhMDDEGTzpXpTOW/OSvKM6uCgjKdCuw6JzJC3mSXmjZY8raSoI1qXzJ3RSRBplVJhfSuSWZ47KeLMmqUMvSpYh/RGrpOfZOhAtoo9gQhoaxUrQbMdOtmGY9QZKgx5Ggbv0zYSTu2jA/99aaP6RRU9S8bFilrXrX64C2Klde4ndKzD8J8uqOuSUpUmZzkYI7Cy5FxtYuUylT18Q9d7UmIYZPf6XJFx5tpLUmmSUoUwbP2LvYNbg8b7Dslqwpiy1pcUo/m2TuHPzrlWeWa1HKgKbwjK0pqvTKlYYydVMyPZ4IgRBp4id1VqSUGKvS9yTCuorDQFvecsOId7x6wB/fKQljQWUrawkWj9gKRmlnsBVlmVLW5G5ks00TcjbX3q4gK+t4t2TuSvGYyxIKts4vijKzl8Bu0wOar3L5cUww1rBl4xyNur5rejo4o8UI9du/+evc9o7Xrs621epUI/nOeHyOVlO4jVHTXRHKCZi8Pnuiy71aIJUldEp1HJVy13Jip9iDsVIGW7ECbQXcZeYud8TrFNxaxyTScPv9df7jb09x+EyQNjEUCR2kRkhBIKEm3SB7nY6By2aLF8mcYjScSnVgJtvyKbcCpJSUhyWVh/S7VkBZTdxksm/yPiENK9nTiZXFxUOiiIvWTCuwlVVFCMBYZtsJl10Yc/ycYv8x7RI+FS9YpMB2Dkgx/mLydyav5MmLPP131i5aa+MQu+4/UGrAmMz2ukRPYiGODYNhyPyGnSCn/8Uzzx5++JXXv9bt0TM/1UfrCOYHyNAVhRsr8n91bdp9chetamZtje4WtvLeGrlSYu5CmqQyRRWuiSxJkQzcshRQZpag5yUcXpT83iea7DsYQEvlksQldpz2zqRJ3mfJpEfP+h3zpWAzP+WiGlBWPfCSfkQUJ2rNSRe4YfQldi+5KDLP5FXT91KAMW7X4cwbFzmzyxSLxk29ss4bj8aWS3dHfP9tPR591ufIQmmpyoNOJ0NiBCPhgkvSEW7WlOtQCl2e16hUVY9jZ+l+lunpPBEkCkYXEoQtjj9C5Oeg0qWPLXYsj5xUGwxj5s6OaEwPGY9DIN2EasfOi5C6wUy7T41nWekJRqEmSdwSmC1HkirQC897ckbfWgelAnJpSzKFAswlYIs8uDQUbkpWOFWSJfl7KXurhOWe4Nf+uM29T9aKKsEsY5mCW0nSHYrLY5ALyaVKYF7PFlwP+JMW+Nd7sxV6mqhLKTMWqVshbCFTRAn8pUynFNY1GBh3nI1Q7rVQ7jIShmRgeP01Y/7Jd3f5T787zcowA3ZKbkakINfEUuQOSgZyjAMyGeBTsnCfkbwhOQMx6QWRBZEVcGfHeAL8Iq1srGaNCwJxO0RbRmPLQk9zy6YdXHvtlXR7w+wahebUFqbmr7x7MDj4y16QUPejdK/IbI52SYuraoZR5Rp94v0s+5gHhEW6PZcduRQp6kkKt2SiK2dNdWD2PK4kdEbS8lufaPLBj7XoRZ4rpMqYO3VN3Oy+wjmpFFVRHMTJ7GWFqdcFc3XO9deD9Mnu+hzI2c/Ky3PJLixclLKFODmZ1pXTZu1t2QBPY4s9OFsafujdPX74th51E4NJwGaPEZgYbIw1ltjC2MDYCKL0HltBZHCzzK0gzrYDt+n2Ipbinv7M7axc3nArfT+vL2Ht+ybdVidxj3HiNr6NYkucQH8MQUNxZvH4L9983WV37zhvC5BWQ/7Hn/8Vag0ZPb1PXTQYet/cCJJ86S0v1wX7UmztPKG9K40Kpf7J8vuVn6sS0PO6k+qwybJ7krO2KlLyMu2vFJ7h2QM+v/D7Uxw7FxSp+Ex3q7TXUghqGYPLTHcX2juzC4s+zHJR1ESxVF48NTHDXGSTV1PtLcvDSSf0tqzucFE8zzYFKGnv/L+ZdBioJuAmMsqZb1wpN0ivmppv2DiT8MBzHmcXZNpxM2EHpa+NKPp/8ou5dFHbNVf1JAVMPFpRBI7rrV7pL2dCorjQi6GcJt1N4obLm9x8uf7jRx6+5ytve+s3FxIF4N3v+la0V+PYwS/TOfsgjXraAZ0uidlHFevo75eSJVVHpeSiZDJkwh4sdHjB5OXAUopSlnIiFa+9hGcOefzYL83w7P4A68lCluQMLku2oM0H+Uzu1LCeNbieTKkkdkqBWAGMr1Ou2OrTqi8+aRc639c5EY6ppS0kixHuQjJWuuXeWoyV6e+4CVnCOG88wYKwiNBy9YUR7//JVX7oFwTPHkiDE5l9GFEsJ6lcyYDll+xDI20KKCdZslUx0+lGFv9k7otnrgqikLqZg1JOzycTFi3lcgZQIuaCHZdy82teR38wAn6mCvCtW1por4EdGM5FfWLTYBzq3AoqLuTMxLcTmty+JMjXBpTFcyFK+luUWFuUAZ4gMqmjCmDLNKGjPUPPSn7zE02e2hOQqEyOlNLx0k0FyW3BCqjLFY0FYU3OHVwzFkKsPejlhM/XQridAHYZ4bbcp1l5PwtG16kZt25utzHpyiHcZFqT6XEsRsiUlKTT48aSYNDCcu1lY/7Ru/r81H/z6MUCPMiLSAzkB8coEiEIszY2Ixxi00eLa0bODMIsgJbG4SYPPCeALhCYpGxOUK1PyZI9InfnMQbGsWC5B50ooNaYJTSD/LjmAG/UQAbqwDBRB3ux2q1tgrFe/o+tcU4qGc3ysrgOuKV1A2dkmcknwe68bVGpN0lKgE9yWSJFghIxSiRoL2Fg4Pc+2eSjX2gyzsA8wdwIZ9HlBVUvwd5lObaGsUsrdjWZI3Jwr0X2V+fw9Z2UEjBKOtxkgJhgdKfbU5Ab54dnrC6sQKQ1KsJK51BY656bNOi0Ttv6wvKeNw3Yc1Tze59o0Y9wB8xtrVk8phBOjCTfPDlN1bsaGZetzNhbibKrUm10KAM9971tacwbtrqaumskD1rdtWfYen6djZuDg4nwDxgR5sc0a7Pj5/7Tr7L14jcfPHZuduOxE8NbTTig5qsCiPm91CeZj1IrafWS9i5S7dXiqSIzWuqpLHfqlGVJOQhNwZ0FmVrH9CP43U81+YUPTnF22S9152TZyuy1RAvXyOBXGhkyzV1uvijFDeULQBZTcfPXlfermwDkGjx7b1KDT0ihchOEKKpZ84E5k9niyQC4rM3LTk++0pBp8QkXLM0MWizT7YTrLg/pDgTPH9QuCVTR47ZylVuEsyspS7TShS2KFadcf52Pycgu7HLSi7L3LfLAu/wvZ8fD0zDTtPy912/nvW/e9RvJ8NDvXHLJDWsZHODCzR7aq33mRFR/pza1ayxRzkxFO5nT0JUDnWk5CssQqvq7YhVmcqSkucvMLUUZ3CVbUJTKX1WCrFn+4jMNfvF32pxZ9sBX67B3NWPpiRKQxcQ+O+nBW9/7nqhmE6w5nWLyzf/FWzmjmb2RSRWYZO7SkMw022mscNtoiyKdL2zhiQuRsTbpYyZXHItjNFFo2TKT8G9+oMtSV/LhO1pQSyl2DZO7m0ES4bKYvigVXeEGchYMLtyoCpPZgCJnb4f3UqMDZc/bkUc5Myqy/8ZaAs9jddV/arE395lef1g5prL84q1vfRP++PYHLth67rHzN48I/Lhy5ZfZ1s3WdveiR9IUTcETLkiViQvrcA24pZMikz53GdxSJqjAcOCE5o/uaHJ6wS/ALSbuUiJSze2lgNZpYmKyU6fcCJ2DmQphFcSUnoWy/v46VUkO5q/685L3bcqyZILhck1uSqPe1hn35pqVsz7O7FHlXfmJUU6vG0UcSrbMJ3z3Nw7YfV4IYQI2sw9j9zy1D937LjkVWwgtqX1I6V62C0WxO3HJUjS5reh+Fhvye1J6zLrMsu8+CuH0quTZQ53H/uOv3f7AjTfdWjmOevLAPn5sA1jBfK3DfN3ky06WWtcpMMsaOzeHyuAo/VykrFwNNrOEzjqsLQyilNgpyxIlE5RvOHhK8+/eP82XHq853VHxusvet/O8szEQeiIVLsRLSIXy7+Qd4BNaMGVtkdN69TqY1O5CrO+SZFdFeS+cNSPdMn/ckrO325TVuSMiDTDXK8oSOOAII9MkkXSD44VBGJmFrCRCgXGEZkaWN1434ud+rMPPvH+KQ6d9xxCQJ4AKes0uWpf1NDiwZitmzt65Ls9iCsfo+Zi39ADK1sgeMgAAL6RJREFU9HhkMU0mxbJiLiHcOOdMxl18MXzXO1skieXDv13F8xqAv/rm21BKh5+78xP09SG2bzDpZktu4yZVsviK0gVbJa91M5gTAWYG7rJjIow76Klz4sBdSBUpY5RnOHJO8+9/c4qP3t0gFOluVKLcX1mAW+LYu6jzXmf77TXlvxTsXAJnDuDS75TtwK9K3OUfTtB3BnhBEVRWfi8roc0dlWqdOBnoK5nNohFCmlQrCwdykWdCM8AXUWwmWWJjqemY9755QGLgZ35jiqPnUmcFMtFdlS4oLI6ts6CSvLcTZBpAS9zELJED331+kVoj+c4PWakIRdBp0t/LNiTbOi/4xpvP59ZbviVM4gT4ia8O8B3btjI7W/+Jc0cvvvzU4XOvN3YFzzP4XlwBeHb8RX4eMgZL0/p5ciF1T1jPAze5/SdyPZ5UrMFKGl4nHF3w+Klfn+Jjn28QyrSmV6x3L2csS8PrU4ZYV5pQgL3MKIhJNq6y9Rra/kvcJnFdrgtfm7ZPj7S1uYQRZUclZfdcf1d0eBnkMq3zdgRlUnBnvYpxDJ5O+I63DdEKfvrXpzl6ziedw1y9CLM9vtMfGkSuy40UGGwONpfccUDPW9yEyHV1fqFPEIKUFm3SrVSkwFpDu9mm2b70HuVf8BNCDpi8rQH4prkGTz76he7Gudq+8Yp4bSuIVKMWUvMjtEpSsJb0ocmi6RKLp8DOgM4Ec0tp1koTkb3nQC1E4YFLGSNVwqllxb/5jSk+dneDUE2Ae40t6JjBk9UunfXYOwNzOYsIk1KkCuh1/IIUKMUuGP8r6J4MMCd98eJNB5ai9iSt60iZT0yCPWf1dBNXkzF51nHkfPI8KWQsApUStHVzRjC8581D4kTwk78+zenl0vcrB5z5B8hALgkphheRAlqJdKZKipvM/hSCyupmKGcsBTbd+9M3gsS6PMwwUklsg32f/szd3W/+prd+bYBnN8nqj+0+P7mxJrrXNuojlDQYLEki8sDE9QCKfBeC/IQLUtmSJnMonJOMqcW64E7y17KShjfEnuB3bm/x0c+l4JZlzV1+nPC8JzKWk7q7qquL4HK98RBl/3s9fV0MaBf/q/iuZjPXJHVsxT0pfpYBIG0wKzkrWQFWxUkp+eJOmqQyIC3IynzyJP2HhRtti0hAk/Detw3Yd/j/be/L4+wo7ju/VdXHu9/cM5JGM7pvQNxC4jCXwWDHxHZM1nbsTRzbsYmvZPEaO06Id30mmDhOfO3iM/uJMZDFxsbGENtCIDAQMAihA10jIY1GI81ornd1d9X+UVXd1f16dICEDNn6fN7n9evu16+737d+/f3dFr7w7SJ8IDIyJ6wqSSQFABpcdluzCGBpyiJkSIOCfpzFKYVUKq4y3oVDQASSktkUKLsMHT25DUMHJz/Q3VFI/fVUgK885zK88Pw3gyDoFY8+sRlCVLBgpofFfRyMMlRrDuqeDT+wZEFHZe0XMP/wZu4dAVkYlMSU3OnghkVw//oMbr8/h3pYUcgEtCG9EVlNor46BqBhAj2yF8f67ZAEyPXENV7ysyHq1Q5NYbLHAm5jxxhNQcJVDxP0ehKYpSaiGGkSSm0dUkuQDNSKQK9yOyEnubQEMjXhmaqLI+ASjuuvrOCJzRZ+8UhOceyjg1yAwle78PBiRbg7hTIZCoRuLq7AXeNAhQsEfgDUfTisgYV9dfTP8GBbGSxdskpsP1QP3v3O3z92gAOAl7kK45PV27/yoxcWPbllMH/mvBFcd9EkrlldQ3+nB0pzqNSkFI8pWgkrSkRNuKImapnwkIbELCdEu+ADUIuDWMBPHsrgY18pY9NOVyUMpwDbVCyJ9lYmFUtTgifS0UyPWQyzcSdLkrfEXPcJUB8V3Ame2UxPSGQDh6lYJmziOotGxCW9+R4HNIDQeiK7ChPIIBAiqFQ2iQDnLDwNIgREAKyY5+FLHxnHjQy496GclOJMnXXIw81pytTFUXBC4KlJIUAU+ERI6SmiGy8AKfkFQdDwYfNJzJ85jmtXT+KNF9axdLaLKp8/lZ951u2E5vDZj6bfY4Zpxpdv/Qe85tJrnzxjYdu7Xbq5fO9jOax/poSntzvoaqtjXo+A5zuy427k5oi56SPToAlu7X4XkXcyFtOt3hkHsYEfr8vipn8u4bldGQluTU2oHacmKhWNUCm5HRJ1JdbNoywS91ZGHsl4dF88w4ZEmTdEeyujZdL0HvVv115MvS5cNicaTU68hEczPI75lInqbTc9eagpZBB7qqRZiMLthiXMLHppPpGIktRd7QHOWORjzxDF1p1W5CEzpHPSBGFKBW4cO9YoN/HEFJDUBn4NV581jL999xjefoWHvm6C//OLNriF1+2vTE790byF53nT4XhaCQ4A1166GJXKCIYOUPxwvQOBDNZtKKIWuOguj6G/04Lvs4iahFGHZpCVAe5QsdTLQfhONMhVzAks4McPZfGJfy5h4w43Du4E35bURILKDqlJc/GeqEdnIr7BFMop65J/gPmuNzZJ6+Pg4cnCpqG0NrZHcSlSqoeewpg0j2zishNxUprrKEPexM2hog+h4lS4yc154inVAFbM9fDZG8YhBPDTmCRXclPaA1NkqGyD5WlKQ+T50hA78skLAlggqHsEi/o9fOStHs5dVMJUlWGqWsHgeA5L7cVApvWI9/aIAC+0ddV37R/5s2f3rLhjRnZnvpwVoCDIoQV7h1yUMrJEmKUSFQgLjEgwEVcgNb9OgJsY4NZAh0Vw7/oMbvpKCc/tdBLgNoGtnTpS3EWRgkYQFYwSFYjz6iZKElMYUySgCXbjiWXOgPjHo0Ncl+RuoieIgBsJRW06NOmHydGJ4UAiBuhVwR0jGyhmNtTWFeW1Cc+ayowgSuVxAm4k+jaA0+Z6+MIHx8EF8LP1WZhOn5jwbhpxkBMimQ01qKJsvMuRYUB/axaN2ixsGaCgJEDGzeCd18yZCjL+n/lsZv1FA3zztjHe2r7w8f/6Jnv8wMC38uA+ygWK3u4sKpUMDozWUMjWkXF82CQILyhSLiOPJEmR3IQY9IQEIIxDMIKfP5rBjV8uYdNOB3AT+ZQkKcWleKYGuE1zYHOcdzKBN1I2kxGDYb2TEOwkJuX1PxkCPknG9R+dWGey1PgGEorrZChtXOk0wG1OBm4cQuVxEiSBruNXVI1DxcWlt0VKca6M05EkV+ZUSJOfPivS4Fg+x8PffWgcQhDc/0gGAQyQH3FIkPtc0iyLRJNZ6lACWVug4AoULQe/3VJAfw9HS9GDZRVxzuLfH2/t6H+8UT/Aj/wrRxhL5nVhVnfpoEX8t1y8+nQv43B0tTloL1sQoGg0ZBu70ERIEuA2nDmRlSSI1pngphLcv3zCxV98qYRNAyq+pEmhNJVM+SKInDlhR7RYnEk8KympK6aGx4Ygb14XYjexn7n+eIdIvML1xsomBycix04UIx6vXxjFsxjFO8Ni+s0vHa8ihNE9QrAwbkUIFja94pyBN4Bl/R5u/egYXnNuDYwHyvAdHOXFQ6rlC8DT6XcamEqKu7aU6ocOCwwesjE6TtDes9Kr1sRbCGs9yNmso0yjIwzCbGzeugvz5vbvPXflkh1ze1vRUqAoFwSyTiBbnZg2bTPOxCzgY9CVSHIHES1hHMIiuP8xFx/8uzK2DjgI88aaOHeSfyNOTZDMzjG9l0b5ORPYqZSluexaKqBN4CdnQLTLUcGd5r4PPZZI8m0S8vGkKTF0ioSAjns3o5gWDXKoilg0Aj2noZOIc6omBDVyPBW4uQUeMIgGwaI+D//038Zw+Xk1sCBQ/SiPDnKh7O4+l0APuG68IF9+AFTrHONTPoZHfUw1WtDWtXRH94y+vROjA8hljvy4OOrDhDGGjRueGHAd8Z4LzluGtlKAtlKAUt5HzvXhWjIuOxYlSAzFMSa5g4iP68QFm0NYwL8/7uIjt5SxdY8DEePcFHHOnQ5uRkSq9E5LWIivE00S3TRvNymbCUkeB6+I7Se3Tw9v0bSgPhpi3KQg0S+ICPgcCWU0ktqxiQED6NwEOUW8PDNNJCyb0YksaoAVRiUqyV4nWDTbwz/8xRguPa8GGgSAx9UJ8qOAHPAEUBcEDSEtJ/WAoOYTVBsEk1WBwxMBDozUUGhdgJEx/p4H1/3HAKHTGgHDYR1th0UL+lCrVeC62cHnN7N1WbHxopwzikIuQDbTgGt7sC1fKZpRziQl3Cj7ILk4IWo99eW7y7H7EMUjT7u4+RslbB1wIJw0G3fis7KNUSAqu4aoKpWmI0ma0qxgihTAxydBiGLDmxkW1UyY0ELpLqJ15vYjjRDTIjpQzGtJIuCbHFwqqMTYRyS4OCIlE4a3k6s6JZqvq5ALQiPpDhWJKLPyAYBLwaN860SwsDsCJQDxOJb0e/jHvxjD33yT4ze/zWD3IQCOtoenDJUKx0HQ0EFhkNG4MktfwOcC1UaA2U4BPTPnrTv7nAsGq9UqcrncSwc4AGQyOQy/sH5be0vuH09b0XeRP74FpQKRafxCpaPFEofTOHfCzu0KbN1n44u3FXDPwxkMH7al5E5z4MCQ2grchMhbFnPDQ4LWrHFiBldpUB6L9aQpyTg1zoTErCxNYj25Pg3YwtisQKpxbr4j8TlpKYlRFQJJX/Rn5eYmLJockWUFqt4gVftzBXap23CV4ECppNaEcPVUkM2wIpDKkyP1AIv7PHzlxjHc83AdX7ytiOdfcAA36QRKXpRsOd5QMeG1AGC+AK0SUJ/AIh5WrV4GO1P8x58+8Ni21195/rFA99gADgBtHb2gduvjhczw3U8Ob77uwY2bcNHpPrpbKTzfkvZVaCVTc+/ISiIpiaodmAG27bPw6a8VcdcDOdQCpkyB1ADzNCBXaLAQd8WneixDgMZLJdCUdfHwV0Np1qtTfPARdSE4qog+jtEE6ibPZHwixM2Juu2MDKCKJHvUjoYY4JeBVjreRWXpI5oEYdKxoMqKIuT/JNAcaAXlyPICdLf4eMc1FbiOwN/+cwnb99mACyh/PML+m/q7BADhEES69X3BgcDDzNYK1iyZQrn9NCxbvuTuZUvnP37g0Pgx38tjBjjL9KEx9fyA07Lmw7ev28ju/XXjDWs3DOLz7z2IYsaB51vykWZaUIgKe9VZOISDOsD2vTZu/roCN1giYUE5bZsyczTwo6hALb2bmrXCsHkjLpn1HDHxTBJAjsWgJCV8CldH4jjHjHaRtqvk2LHYk2mkerTdkNbawROjIIC2teuWKNocGCZJgBhOIk1LpOgmoUnSpCvGuYeJxwJUSQpRD+BaMgoRArj5ayXsGISKJ/dVjK8JdHWhWpD4HjqzE/jrt43hinMK8G3nnlrL+R/eN7x79+kL+088wAHAyS/Ej+97bPfrLrrk2dqYeINrHQQFDYGszYWRWVArlspD6QrsGrLxN18r4s4HcqiDSWtJSjyJlNjp4NYttlmYehbx7bh9W3HvJDiVFNH7IbEdKeBuoiUmJJNk+zileRg4ZSwbumQ8TkVbTxQ1MbebFCXmDY1ta3YAcZWhQ/UyqHS4Ef3EiMBu0pWwyAmHoo0izNZhFAh8IGNxvPWKKkCAT32lhIH9REpyPYxkCakA6IsMEIBh8FAZw+NnY+Gyy54Ngkd2d89dfVz39rgADgDnLu9Be/usL2T4jnkt1rbrXWsUkKHtkOqXWd9EgpvSAA1B8OQzLr52Vx536EwclgZu7XqnTeCOEoeb241E9MNsm5JIRUME4qa4b3PZAHlMIiekd1LRNDF+vCMEdkxia5Qb4Cam215RDyIMK4neJqL+8UBEV9RE4kKmfUlBajwBDHpCheTmnHNQOg3I9QVTGbZlOoM0yB2L4/rLq0AAfPWuPJ7a4qLOrUTShJYmkvQTCEzU8vjVM11Ysmjh7atmnPOF3XsGj/u+HpPPyRwzevuwZ8cDY909S/6kqwMPrX3GwfP7oGY5C7kUJcoMyAJUQfCde/O47sY23P5AHg1qTZOJk7SWRODWSmUYeWZYR8wCPhqAIVVpspCIJmBHpr1E3cEUahJTKhM6ZQzkx0PLU6hKc81C/ZmkuvVhmAaTEj08jjCPZzh7mmzs2g5umAnD/aK6h8KwjYftU1KcQYHHYAXA9VdU8OO/H8G7rp1CnvjKIaRe2hxDKCgYFs6awmVnT2IqyDy0oK//T77/g/vG+vtmHjfAj1uCA8D85Vdhw6bHKweCdza+9pN/w5zO/fj4H04gl6nL7BtFWZgbYCog+O49efzVN4o4PGFHUlvbuXU7u1Q7dxSKqy0mYX4l4srktGXXkJDeabw8ybkRB3Ektc1Ykzjb1s2nmpE+DaZDKnEUkBvUqJmSxF32cRqSiFMxeXqIei2t5flraa9PjkD3mNfufQohy1PJ/bishy5UMgOhPKQcFNJpI8s9BBABwChHRzHA594/DkYFvvdjo7iQpqDURjFL8O7X2njN2a3IzbiqAfDKO//L1S8Gqi8O4ADQ2b4EnPPH3nb16gtqIw9nxyaAUr4B11Hx3FaA7UMWfrQ2i899ywA3TbOSJBVLGiKOAKp/ZaJJFI3oSJNieRTpnaQrR3tP5eIkAv2R8Eym3ZIAM5IgNdaHpr/4xIjFpijlUk8EafqLvJskmRhBNJWRTWQFB4Ru1GpYYqiW5JQr8BMoe0oIclB1b3V5N5UmJ2uCEzCuzY0EwuNoKwT4H+8bR8YWuOfXOWwbhlIwbYAQdGeAnQOzcMXFF1eXL170GCHHTTReOsB7uoqoVauffNPrLxLbN2z+aMnakhkeq6HgNTCzy8cjG23c/M0S1j6dQT2wlDKZFlNiKpZ0WnDHkoYVgE2qYtqumwpnIgFcxLdLnE5DT5Disk/eDHKUz8cyxBHWa3Cbx9Vhs7HfihRLk47EnUWGidDM7YRQobNKdzSlPlSBfcrVvmgCuW5+oGuGa6uW4EBAoWqZS+rqewStuQCfff84Xru6jpu/WcZvnhWY2enDzgYYnXAhMnNrvfMu/IdqLfNX+Xz2xcL0xQMcADLZLD+0+wc3d3WXvGefn/HxW//1gNNZtHH+igru+PccfvV4TvcFiShHk53bDJ6KRCUl8uSsFHA32bqRjO8WKWA2pHeKghkDdxKs0ymgpGkXhJ7M44i4CndPOn0UyGKKJuKKZQhqkSbt5YnGqUqUic9M2gIpyWMeT21qNNLIpASHAXIhJwc4qCr0SdRN1gnPBBSCBJKuEALddtyxA1x1fg02E7jjl1lcsDxAzrVw/5OnNVo7Or542w8f+swn/vz3+LHcw5MCcAC476lqY25v++fXPre8MTKW+/Rps3dQgiqGDzkAVRGB0NJZa8lmEFVCamtlUgMbzUUyYz07jax4Kb3j7vc0W3iSZye5d/RKNh9N7JwEdvLmHAvGxdH3MylLUpLH4kyMJAdOAGY4hZpS3ZBQQIkGsFB1SgyKA+kbQIyHG/4ZAVCiwS1fApJ/y5AKLruiqNYqgqiyFXUGl/joauOAoHhhfw5XndvJ/+SNPZ8+7NtfcshQAy9xvGSAv+2Nf4yf3nt/ddWyWXevWtj2t3PLA3h+iGHCzwJOHlE1UvVPxgAe5YJpamEZAKeIJHdY9gEipBxNEYGJYpRJC0iaVSRN0Wyya6uFmMQmye2IgfzFshTz1bRdgZggwb0RATd8FJhc3eDccVOhqt8drjPqHUKDXijPZnSOmq7IFfocVNVaVeKPhI4cJFz9JJpZIEDdRpb62D2Uxc/Xd2He3EvF2Sv67mYT1ep5q//wpcLzpQMcAFYsnY3JRv/zM0vkA+Ojq7/2kx89Sl8YbYOds+BzDhF4CLt8gsAMmiKEGF5JhDUDNfhCqY2EJSQFpOlF6hOUJRX8RoxJAsRJwKeplE1sJPG5afvRpLZh74YpgTVbSSyb/EY0Se1pqmIhAjYJj9/sEdWWIaFORkMz5ORAmCKnUxXl93jkSVU6oizKqnL3BYUfWKhULbQXfLxuFceSpedyp7z4A4uWzHt+w6ahEwHNEwPw/rlLIOpPNeBccNstt2/NbX5h6a3zW4ZRFcDgJGQNDVOC60QFQmDTKIcyqQwCScXRsHMjcvAkLSTmPukhsvH9Yu54jZeEKI7by6cBbmLEQmVNWoGU5aT30lxtrBPGukhCxydBU3Sh3g8ksowQxNz2AAzqIhIURVJEeZejM+NKudQThygCr3vLa2WKGJYc+SSUZyMExeGJEiYrBK9b1QJkG395w2/Oui372Lbg2jVLTgQ0TwzAAYC4Z2LL9v3B+67//e0r5z45sW7tA8W6fwDrt1WwcZeFABaiOFIa9qjM0iiWJA0vEeBFunRGQno37ZNw7JjH1sBOghtx60kM7yQutUm49/Erl+YQiffwA4m8i6G0VvbwMG48YiVG0BViUhshBZHHiEAsQimO5ATR20KKIsLrFcYJRpNUb5UgF5yCsUB+T02EsD4OC7B5N8XDv3XR3jILl/S/ZmLOwpXbfzp/X2BnF54oWB6/J/NIo62chctq91x28Tk3vPsdl4/c8AcE5y8agw1dC1deLIgs6ZCjAhkqG7G6VMChIpYNHwdc8ysGzgTwqfGl6egLYCiSKVK8yWM5De8+6vJRRnpWfTMPD6U1IqhFYNRAM9310fq4BxOI2nbrTB+EGT5N3wWiYxuANjOHdPZPEDD4AYPvy/cgYMrrKcM4HCuAY3MICDz6nMC/rW9F26zXjHTPPu+Gvfu8ewRJr1D1YscJk+AA0NlRVjd95PutZ55n/ceTI1/YsPuhzgam0FmaBBUcQ1MU1HLgEiDDBFwWdZEWQteLFjJ51fQWJoGe2qnAAHOa9E7y65RJJCdEtKIpSnZaPm7Q4WMdSToimr8fW5c0IxJD8msnp6EgChDVhEo9kQyprCkNMbg3UbxHH5doKU8iDp88l1CJ1Vk/nIanSanucclhsQCu4+NwpQEhGLJ2Flet6sTcZRcOn3nGmv8+NNr4/tze7hMJRwAnGOB6ENKGHS9Mfrtz5rX00nPrn0P94c5r1zRQKk7glh/a2DeWR9YRyFmAq9oRAlLIewQQgcolRApHBZrBjjhgQ8lu8vfw3Exgk6YJENsvXCYpwCax8zDf4zdj+vt0DBbC1B01QKMuB4q5GNvMaEJiAlpt48aEgNABWSI8rlY6SezH0q+LQJVaUxI84DIqkFGuan8L5KiHvcMCX76jBdlMBteel8fchZcM/975l94EVL5NSOuJBaEaJwXgADCvt4BvfvtHt83tyQX918y55dxFk22Zwjh+sNbHgcMEBStA3hFwLWkK5AAaPoHwZNldDtkBQPI2qDhj/aBstnIk18FQOvWX4nSGpHwnvh/Q/P3k/0sSK0y+fjyDJKSzqXAmFUl9HiGIFacmyssUdmiDaRkRIb8mihOZUhwx7q0VTfX9BFnSJUA06IWS2kFA0fAseD4D57LPkRNI6VXMN7B7iOFnj7fBQQm9Xf0jPXPaP7b9ubXfWbD8904WDE8sB0+O9/7xG7F0Dv/emaf3frDcNmti7RMUm3fkUM4JlFyBUkaglBUo5giKGSBryyIzviCocYKaIPCEbHGR5KQRD58mr9KU3iR9UpjWkwjY6SZDvRSbCMkL1sB7EQg3HTkwFmP83ODf5vqIl0f7R9n1cRphhsVGrVHMqMIoITkW9KIu2CyoylQLG8ZkMosQFLW6hYkpB+NTLsanHExUXVRq8vOyuQSrTp/A/AWzJ4Td+8H1T3nfO5ngBk6iBNdj5aKDvDAze/tv1vf4v9p85ndrtcOZGSWBchYoZoGMQ2BZ8saSCYG94wSHakBDiS+bErhUe9cQtp2LmfYSVhLT4hKuj70MbV+dp6m4xpTNY5HHSbCLNPQfeZhWlCblMmbrjq+POLiyiGhpbj4BTFu4IdEJInOhzt0U1HAMwQgHMH5b8uuoxQwhgGP74Jxh8GABh8YcCE5g2xzZRgDBZYeQQtbGTe/sqf38qdY//eXG7rv6Okdekhv+WMaLs2kd53jTR78NzrLMCaaumxg5+C8H9+7KzGxjKOUpshkK12FwLIKWooc6GcJt9zMcOJxFQFwQy4JLCQpMIENF1HqbKXe+2e4vLGRpBGXRxDsximWa/XqoWUQzmgzxfUnU2o+Y7bejdoI6bDZq601S9lFRw+Y5UKMigIqU1PuQ8FrMVt5GSTrSvC5s46iWdXhDtE7El9U2QmQvJmZ0mzZLgjAmFUbb8mFZPhyrAUo9HBzn+M7PuuHXelDKubAtIOsC+QxHqeCjozyJOXM6ah0zy+/IdVh3w/MD4nz8pGPv6IUlTsDY9OiP8IY3vEUcLq7avLLr8JbOMrsWwYTdWrLRWrLRVmLo7iBY0u/jynPH8KaLDuDgmIdN2x3VX56qWnUkjEmJ+lmmgDsG5maQT1fhNdYzPgFwkthOzPWEGJ/j1WXN9eZ7WvHP1DouiReQ0BFC6hB+QrwjM4m2mco14r+dNLfKg5se4KjLnsUCBXIP+WwV96wX+OBXurB+Y5u0EnCBhgc0fIqGR+D7QGtHf6VQ6n1Xz7zcXQd3uTzf8eGXA3ovD8ABYP2/34n3vXkVVi8ce84tdO9sKdpXOKyaaS0CrSWB9nKA9nIdpZyHhb0VVOt1/PTRDAQcgDE4VCbeWwrU8iXi4J4O2EpChhIUYfUJY7804BFDgpIE2CLJ3AzgFwFwcmwADwFovodgjz6nAVhPgbQ81FD/SACdqHtHVKNcSmSxVcZ8ZJwGGKvhy3flcd8TXSjmXOQt6S8NAo5ag8MPCDo6Z42VW2a979ZvVW5fNLOIeSve9XLB7uQqmcnx4fe/HbsPt2LZgo5/PW3F4g+tueCsQ/P7XbSVamgpNJDPNkBpAD+gWNgbYHlfHfAii3jUUx4pRTURd9cn/qjQ8YNoWzJ7PqZ4pgHq5bxZaHYAxdaH5dsMpw+i9WadwnjLb4Q1ANOVS8SUT27Yt8O0NXWbHCvA5t0EW15wASprmkzWCcamBIZGPNR5DktXnHloxqz5H5qoF/717deVccb5Lz2A6njGSVcyk+Mdb387AKBeHfkepba1f3fp85uffbDToQfRUqihpVgDIQGWzfNxxvwGntmuowqj7PlYI6mQp8bDZpN2cWgJhTSJGC97HKmgxiDNq14OxMfMgjrSwfjt0M6t91fXnBZGG7njScx1H/NyQgUACqiqsggTkDmPXgKAZXNs2MmwZYcFiACHpwQyhMJlPvp6Srj8skuG33D16o97nve9ro62k3+zUsbLKsHN4WbbwEG/1dV3yU19Cy8fbm+zMVk/hE17qqCUI/AofF96IxiRrv2wYwONt+OetgYhUpaTj+wjUYHYGYtw/2mmwMswol8UTS9TAsclN+fx3jxmnEo4CUBiYNeJxkGgOg8HFH5AQ9e7dL8DjBEwywbAcVr/IQjrMIhbwvVvunz4za+/+CabsW+dKnADp0CCm8N186jXp26bs+Bcf3SoeuvXf/CL1oE9o+j74wkIVCC4JIAuI8gyDpdx2Cr7TXPvZDaPuRyjJKZiZbb9MHlneGYpSlgKnI/ZE/kSxhFd/ypmNukj0u9h3iXR0XzyeDHnpDYhqsThKG5bfk/OBxo+PqT+YsG2Atl8jAJwcmijDt53TQXCaYHbcuXoZRefe6MQ/LuFQv4k36Ejj1MKcECCvNZofB/5i0bGGuPzLziLf3HLrrX27BmDIKq8RMESyFkCGVtmwCW7NQAp4EazdQDJ9Slc3TT/hUM92rVXkRgfZBz0yYF5M7gjDyQxzke72ml4oqarniivZrNHU4fTave9DIGVIIcAAnU/hBDgHAg4BQ/kSTHKEfg2eMDBCMHcdgvz517trVxc/1jL7LO2E5b5qcXcY7nMkzpOOcABIOM4fNeObfd87E/f4IyNbK0wz/vq+OjPyVgdtOBaaHE5Ci6HowrLajEVSq4ELQGS5q7oLeTsUHZqY2JASTDzGE0jKbZTxHjcnX6ME4Acw6rk7wBhskEYTwKdMylUXUEV/42of08UZB5RFKJd/ESo1iZQsd2qDI+655Qw+Co6cLKSQ4ZNobfL5levWSXyLYv/vDzztO/sGhhsLFx46mjJUW7rqRujB54DaC7bkts2+++++/Qf3L12/H/uGxhGbwtBzgVsSwZh+YEI41TSLiRJV7STJcbbKUmYEUmT9NfHkp+bzYSmrVx3ZEs6eojh8DmSo6fJ6UTjNc61IyecpMaFy0ku70aY5GE4iyKnDqQTR31mYfMCQGc9RfcwurtCcXE/kAqmZQnkMg20lcZRbi1j64Hev3p6z2V3vP7Cnj1jk9Xq+WcvO9VQSsXF78x4xyfuxLp93ewPF+3+6/GRoU8e3L+bMeLDtihqDYGJqkDD0wH0Ea8EIoGaBDgjsphW5PUkMbDrGkNH4rxUiX7tLCLGcthy0AT1iwA4TQI8tNen9BFK+0MNsFIaAZyFirn0VKYCHHEOL59y8j7XPYaJKRuVGgElHC0lhjlzuoOurpbPzFx48NOoFQOSveFUQ6f5fpzqE5hu3PLVu/CXH3gz9g8d/MyD6x76y+c2PuMG3iQOHq5hw07Z8MphkpMTRC0vtFKlObqWpIxKgMs/mRj9MhUt0aZCQ1tLRtEBcU+mBh8znD4ayIQeH8CZlrr6lfDIajd8EtwiPFfjDw0nighBbinJbbE4wLWrnhjXHQgS0hSLcTh2ACEEntqSxei4g+6uMlauPL2+8sxVt+SLHZ8c2Hw7+pdcf6ohkzp+ZwEOAGNj44ob4nP79g5csPmZe2nD23/B399+yKpMlNFTFsi6Eph1T8ALVLNdQ3qHVbAokSVamAS4fo8kb/xJwHWcdMLbEsaWmJKbEIP2mLEnL0KCGwDXTxhNN/SyaTHRLUzMOoQhRVMmVcoksC0mYCuAMx1nEsapyONzAXg+Q92TP5RzfXS0TGF4fBR3rVvgF5zWR975ttfz+fPmPuIHuCnjEGRzxVMNlWnH74SSOd0ol0t68SYxfhuWLJpZHN1f/Oausdxb/+X/1qlFKyjnbRBCMDjCUW1IaWTrGqCQelYyVt8EksXiElzHQoMbTwREiiPnApSSZDJ7OJp0ziPYEqenQ8YJk8gUqoOm4pRMhr3KfjnyqwRyIjD1OLOIjBKMTH0RNdFx8/K+yQCrgBOMjruShxd8ZHss7B1cynPdp985FbS993/fOzDxTzedcarhcUzjdxrg5iCld2Pv4JaJckvmg2vOG9y2f+jpFXk2cd3U2G70dgOzpyZxzyNZuAGFTUW81DQg63SE0lXTFvVikQIZOUZ4zHUNKNoDQHABQaPM9ZN30eotrI0U0RYBaa/mBBCcwNfd+9REpBwQTM5AQgDGAaGq91Adx2O4+QgBXCcAYVU8+qSN/QdsdJYFzjtrAVjeuvuSNWc/e5HV/2WIysTC/gWnGg7HPF4xAAeAWTMWA8DBXbt2f+rjf76wf9eubRgZ3n5dkTyJw9WDuHN9D2y4in6o/M5ASXFEZjRCJKgti8BiBBajIZ8WQlppuCAQPlfL8vdlJw8i6xaF5HcahB/BnJiU3EdSbHUDVqIpCxNguvwa0a5zwPMJgiDSQRgFLC3RCcCZMllSaUmxLA5KAD8g8H0CIRgI9SBQwb2P22jLdOK8c07H7HmL7+5bvOgjk1OTAx2dx1+++FSPVxTA9Zgzpw/j46MDy1csu3F0OPv9nNP74Z17Hr24p3U//PEKSjkLBATD48BUQ1KWnCPgKA8dU9TEtihsSwOchBLNDwSCQMAPBOqedHJQpZxakG06wqdDEqzHeS1H299UGmNKorJXC0EwWSWo1VXRAih6oia4rk9oMUBYksvbVoCc68O2OKaqDg5MOpAl2wiK5Ta87tLTsGz+OQ/O7sl9ec68+c9MVPyBzs5ZeCWOVyTAAaBUagWAbUKIbQCeHZ0anXHje1Z/Y+vm5xcM7HiO5VwP5YkKHniGwCUuLMqRdSTALYvAsQkcm8K2qJTiFgFTdUIBWdNjzzBQqQkZi24R2JYIFUvNb5POJHNILyFJnQhHHGHmrzq0BrhSEh07gG1zqTRWGPYOOxgd1+dGwuvRlAWEwGYCwpEOHccKUC5WYduTeGJLKwaHM2gvu+idszLonTt32xn+xPuuu2r1YCCw1aInk4Od/PGKBbgeKv1s68HhQ1vPPyO4qrMlO+vqy8+9c+fWh0oZuiFf58O499EOlLMUJSHAKIVjEbgOg+sw2EwB2wJcWyDjCpSyHMvmjePRncD+Q1l0FTlyrgSQRZUSSpIZ+SSVakRezQTKp7Flx6pUQedGitCEaFkcGTdALuOhvVzFrmEPazd2oN0lyGcpMg6FbVPYnMJn0jkjBGBRgkwgFUzbCtBensDdvwnwsyfKWHP6vKnXXnPJuGP7bym19u69cg0bIOSVDWw9XvEA16Ojsx1CiIGu7s49k5OV5W0lvqqYXfm/9lQ3+M/u29tGGqNFSmX7cdumyGeZNDGq/9FSKVbFHEdnSwOzuiu47KxJfOmuXrgWBVPWGWEJAFR5Mg27N8LJBiBul1alKWPna4YYxL6jLDccBIQLcBKZLAmRFMW1AxRzdbQUx/DrX1JsH+QQbWb1KzWxPHl836egBMi48ri2TWBnuycWL1k5MmveeVZbnr2nr3/Oo7lcfkwIcPoKl9rmOGXhsidjKDc5t3B4tK295z7HLS/6yQNfn/+NT//RZ6676vyNfb3dv+3qaKl1tObRXuKY0d5AIevB86Ui59oCuUyAbMZHPsOxZnkdjFYx3qDw/MiaEjpnmPaOkphFAjDKLqSUqNIe0zTPZGgd4ZChqso6EhZrpVwm82YaILSC9RszqNQpqg2g2hBo+PL3LAaMV3zsHa7j4OE6OMnAssu1fKH7t63dF27Mz/jwZ+649+vz29vKi2b3zrhvcGh8lBDyqgI38CqS4ObIFmcB0mhS+e1zA7Bt64u2xb540aoVrK21+FVGG4ssf/uFNtnCHnoqwMHRIpxOHzYTcB2ZksUFwewugYvPmMS6pwoICvKP1w4jyclp6LhJlnEAokCrtMQc7WllymAvYt9DWIyXC+1RlEojINPGClkPDz5DsfuAC0ZIqBDXGz58V6BnZhbEaWBwwsGCntnByjMXPNTemtvK/ckPEDoREJrDLZ+8S2SL8yun+v86meNVCXBzrFzWD0Qy1J+cHH8vSLbVEks/u3HjlLNpcCyY19V+1owZ7Oy2/D7knTE0GkC9TtHeCiyeVcOvHwekm16AMcC2VCUAh4ERVWou0D1yBLgQ4IH6SWWCTDO3SGsOVNGc6AkhhPwcKK8sFwSUARmfqj6WgGsH2PoCw+hhC105Dt9rYHgUyGYK6Oubid5e9h8rivueLHbOZm++5rrGojndn5iYqo22tpZP9V/yso5XPcCTo1AoAcAogPcDwMMPrwNALraY99rOUu9bGCYWjxwOUK8+Cy+oIvDqCBo1NDwCRihc20bGpchlGfIZCkKAqSqH7ykbs+onWfc4hBBwHcCyLJW0TGKOI4sBGZer0FPprNHVAmp1YKoagFAgH1AwSpB1KBoe4Hk+fL8KSgWKpRx627N4zflngNMcOlpyW5bMLd1ZLmZ+wbl48FNvvBCf+siHTvVtP2XjPx3Ak2PNmosA4EG/MfwggHU88OdnD4/xPVv28EJrae5VV/Z8fHBqHCU7A1Edgt8YBwFB1gFmtAPZjIeHnqGoVYFS0UJbgWGyFmDTbh+lLEF7iYBlgYwrJe9kRfIMm1E4tkBbyUcpX8UTz9kYm3TRVqYo5Tgs5mPDTh9ZC2gvEUBYoBAoFVvQ0tmHkUYn5i/sw1mnBZ/P1id2XnfNRbTU2k4dy9oO4L7eGa2n+tb+Toz/9ADXw3I6AeA+/VmIXQDcljPy+x65bP8WTI1nvQWzl37UorjSsgjyGQ5vYj2e2bYPO4aK6CxYsC0HrSWBxf2HsGmvh6GDReQcC6UCRVsxAKE1bN3NQWDD7rYBAZRzUxgaO4RHnitiTpeLvpkOOtoCtLdU8MJYAwdHZuDyK85HuWjDdQhcm9xfbjl868GxNnv27JX49A1zHuS8dnjlileel/HlGP8f4NMMQuYAwGEAPwaAwcH9ALCZ86CbEHBGPbyw9SnpLa1b6CnbqDe4d8bKs2+e2db1+mFR957fUUBvO0N72cKcGQEEm8JgncEWDvp7bLSXgZ6uCg4MTGHuwlb7rIUtP6mPPXuz61h2Vxswu4ejUi9g+fJlyOcdUEooo2wIwM6zFp/4UsOvxvHqsgmd4rFjyyMQIN1Fa0f5wU01sWNXFj0tDC0FhtndATibwtqnLThw0NvJ0Fog6Gqv4dmBGjYPtJILTu8e41wMvfbyC0/1pbxqxv8D3QwXdT8nmBUAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjE6NDU6MjkrMDA6MDD+VcLZAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIxOjQ1OjI5KzAwOjAwjwh6ZQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 33847255
{'hecke_orbit_code': 13510798915672584, 'n': 1, 'trace_an': 1}
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id: 33847256
{'hecke_orbit_code': 13510798915672584, 'n': 2, 'trace_an': 0}
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id: 33847257
{'hecke_orbit_code': 13510798915672584, 'n': 3, 'trace_an': 0}
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id: 33847258
{'hecke_orbit_code': 13510798915672584, 'n': 4, 'trace_an': 0}
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id: 33847259
{'hecke_orbit_code': 13510798915672584, 'n': 5, 'trace_an': 1}
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id: 33847260
{'hecke_orbit_code': 13510798915672584, 'n': 6, 'trace_an': 0}
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id: 33847261
{'hecke_orbit_code': 13510798915672584, 'n': 7, 'trace_an': 0}
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id: 33847262
{'hecke_orbit_code': 13510798915672584, 'n': 8, 'trace_an': 0}
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id: 33847263
{'hecke_orbit_code': 13510798915672584, 'n': 9, 'trace_an': -3}
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id: 33847264
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