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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 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': [1323, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 7168, 'field_disc_factorization': [[2, 10], [7, 1]], 'field_poly': [7, 0, -6, 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': 1, 'hecke_cutters': [[2, [7, 0, -6, 0, 1]], [5, [7, 0, -6, 0, 1]], [13, [8, -8, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227300139, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], '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': True, 'label': '1323.2.a.bd', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '1323.2.a.bc', 'nf_label': '4.4.7168.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{1}q^{5}+\\beta _{3}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1419022523551171505, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.10347657524447265, -0.34796492779677274, -0.20693742662505496, -0.3144088355559088, -0.2145213446294479, -0.16901833395929525, -0.2958041162432267, -0.2675415186870348, -0.3049450362062768, -0.1737777601122151, -0.3034754141043891, -0.20699615302514707, -0.30668590368625864, -0.14724103267230798, -0.20158973415481005, -0.273284626437191, -0.35602970444305126, -0.3317170847162378, -0.2918837531166801, -0.32626334466819423, -0.31370911351829756, -0.15146781684464897, -0.15798942411789021, -0.2138167858134735, -0.33417133589758025, -0.142450611040022, -0.15143837144366623, -0.1927417358343453, -0.20287168785211945, -0.20156409333678543, -0.11311115553992503, -0.27374585864202755, -0.1649644442871929, -0.12221637762075438], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.2592801267497653, 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227300139, 'label': '1323.2.a.bd.1.3', 'level': 1323, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 15, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [21, 22, 25, 22], 'Nk2': 5292, 'analytic_conductor': 10.564208187415394, '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': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 145, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33555755, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1323.2.a', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 192, 'mf_new_dim': 55, 'num_forms': 31, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 336, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [55, 0, 0, 54, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0, 0, 32, 0, 0, -5, 0, 0, -8, 0, 0, 73, 0, 0, 0, 0, 0, -16, 0, 0, 36, 0, 0, 19, 0, 0, 48, 0, 0, -46, 0, 0, 4, 0, 0, 0, 0, 0, 18, 0, 0, -52, 0, 0, -8, 0, 0, 13, 0, 0, 56, 0, 0, -47, 0, 0, 0, 0, 0, -1, 0, 0, -54, 0, 0, -67, 0, 0, -28, 0, 0, 28, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 47, 0, 0, 110, 0, 0, -3, 0, 0, -12, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, 55, 0, 0, -88, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 5, 0, 0, -100, 0, 0, 92, 0, 0, -14, 0, 0, 11, 0, 0, 0, 0, 0, 22, 0, 0, 104, 0, 0, -35, 0, 0, -84, 0, 0, 114, 0, 0, -164, 0, 0, 0, 0, 0, 136, 0, 0, -41, 0, 0, 28, 0, 0, -36, 0, 0, 20, 0, 0, 71, 0, 0, 0, 0, 0, 29, 0, 0, -64, 0, 0, -20, 0, 0, 60, 0, 0, -107, 0, 0, -116, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 0, -120, 0, 0, 6, 0, 0, -100, 0, 0, -52, 0, 0, 0, 0, 0, -21, 0, 0, 6, 0, 0, -43, 0, 0, 36, 0, 0, -76, 0, 0, -148, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -62, 0, 0, -29, 0, 0, -72, 0, 0, -88, 0, 0, 0, 0, 0, -116, 0, 0, 16, 0, 0, 89, 0, 0, -22, 0, 0, -136, 0, 0, 84, 0, 0, 0, 0, 0, -156, 0, 0, -56, 0, 0, -68, 0, 0, -51, 0, 0, -94, 0, 0, -60, 0, 0, 0, 0, 0, 57, 0, 0, -24, 0, 0, 85, 0, 0, 76, 0, 0, 131, 0, 0, 80, 0, 0, 0, 0, 0, 152, 0, 0, 37, 0, 0, 112, 0, 0, 0, 0, 0, -76, 0, 0, 38, 0, 0, 0, 0, 0, 53, 0, 0, 12, 0, 0, 69, 0, 0, 24, 0, 0, -179, 0, 0, 88, 0, 0, 0, 0, 0, 2, 0, 0, 96, 0, 0, -108, 0, 0, 26, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, -81, 0, 0, 142, 0, 0, 20, 0, 0, 256, 0, 0, 115, 0, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 34, 0, 0, -84, 0, 0, 68, 0, 0, 420, 0, 0, 220, 0, 0, 0, 0, 0, 76, 0, 0, -24, 0, 0, 272, 0, 0, -312, 0, 0, 161, 0, 0, 184, 0, 0, 0, 0, 0, -24, 0, 0, -123, 0, 0, -308, 0, 0, -107, 0, 0, -34, 0, 0, 273, 0, 0, 0, 0, 0, -84, 0, 0, 80, 0, 0, -114, 0, 0, -116, 0, 0, 388, 0, 0, -184, 0, 0, 0, 0, 0, -64, 0, 0, -12, 0, 0, -188, 0, 0, 79, 0, 0, -100, 0, 0, 63, 0, 0, 0, 0, 0, 8, 0, 0, -276, 0, 0, 435, 0, 0, -120, 0, 0, 61, 0, 0, -324, 0, 0, 0, 0, 0, 38, 0, 0, 44, 0, 0, 292, 0, 0, 68, 0, 0, -200, 0, 0, 71, 0, 0, 0, 0, 0, 133, 0, 0, 88, 0, 0, 44, 0, 0, -52, 0, 0, -190, 0, 0, -196, 0, 0, 0, 0, 0, -48, 0, 0, 26, 0, 0, -406, 0, 0, 213, 0, 0, -12, 0, 0, -199, 0, 0, 0, 0, 0, -5, 0, 0, -108, 0, 0, 63, 0, 0, 276, 0, 0, -137, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -252, 0, 0, -310, 0, 0, -204, 0, 0, 0, 0, 0, 61, 0, 0, -288, 0, 0, -100, 0, 0, -80, 0, 0, 101, 0, 0, 240, 0, 0, 0, 0, 0, -24, 0, 0, -60, 0, 0, -400, 0, 0, -228, 0, 0, 80, 0, 0, 412, 0, 0, 0, 0, 0, 169, 0, 0, 28, 0, 0, -93, 0, 0, 264, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 144, 0, 0, 320, 0, 0, -250, 0, 0, 12, 0, 0, -302, 0, 0, 0, 0, 0, -12, 0, 0, 96, 0, 0, -41, 0, 0, 160, 0, 0, -389, 0, 0, 172, 0, 0, 0, 0, 0, -132, 0, 0, 57, 0, 0, 798, 0, 0, 68, 0, 0, 436, 0, 0, -192, 0, 0, 0, 0, 0, 7, 0, 0, -100, 0, 0, 3, 0, 0, 230, 0, 0, -156, 0, 0, 1044, 0, 0, 0, 0, 0, -120, 0, 0, 156, 0, 0, 652, 0, 0, 164, 0, 0, -160, 0, 0, -281, 0, 0, 0, 0, 0, 27, 0, 0, -8, 0, 0, -160, 0, 0, -156, 0, 0, 369, 0, 0, 262, 0, 0, 0, 0, 0, -96, 0, 0, -171, 0, 0, -328, 0, 0, -3, 0, 0, 656, 0, 0, 80, 0, 0, 0, 0, 0, -153, 0, 0, 456, 0, 0, -279, 0, 0, -296, 0, 0, -95, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, -116, 0, 0, -120, 0, 0, 192, 0, 0, 452, 0, 0, 169, 0, 0, 0, 0, 0, -60, 0, 0, -236, 0, 0, -254, 0, 0, -220, 0, 0, 265, 0, 0, 496, 0, 0, 0, 0, 0, 264, 0, 0, 89, 0, 0, -276, 0, 0, 0, 0, 0, -52, 0, 0, -99, 0, 0, 0, 0, 0, -88, 0, 0, 140, 0, 0, 57, 0, 0, 130, 0, 0, 1, 0, 0, 64, 0, 0, 0, 0, 0, 372, 0, 0, -184, 0, 0, 504, 0, 0, -4, 0, 0, -302, 0, 0, -333, 0, 0, 0, 0, 0, -26, 0, 0, -168], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48694951
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227300139, 'source_is_minimal': True, 'source_label': '1323.2.a.bd.1.3', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 130604389227300139, 'target_is_minimal': True, 'target_label': '1323.2.a.bd.1.3', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc.1.2', 'twist_class_level': 1323, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48694952
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227300139, 'source_is_minimal': True, 'source_label': '1323.2.a.bd.1.3', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227300139, 'target_is_minimal': True, 'target_label': '1323.2.a.bd.1.2', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc.1.2', 'twist_class_level': 1323, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48694953
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227300139, 'source_is_minimal': True, 'source_label': '1323.2.a.bd.1.3', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599929643, 'target_is_minimal': True, 'target_label': '1323.2.a.bc.1.3', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc.1.2', 'twist_class_level': 1323, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48694954
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227300139, 'source_is_minimal': True, 'source_label': '1323.2.a.bd.1.3', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599929643, 'target_is_minimal': True, 'target_label': '1323.2.a.bc.1.2', 'target_level': 1323, 'twist_class_label': '1323.2.a.bc.1.2', 'twist_class_level': 1323, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1862475
{'charpoly_factorization': [[[7, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 2}
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id: 1862476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604389227300139, 'p': 3}
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id: 1862477
{'charpoly_factorization': [[[7, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 5}
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id: 1862478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604389227300139, 'p': 7}
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id: 1862479
{'charpoly_factorization': [[[343, 0, -38, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 11}
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id: 1862480
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 13}
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id: 1862481
{'charpoly_factorization': [[[28, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 17}
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id: 1862482
{'charpoly_factorization': [[[7, -6, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 19}
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id: 1862483
{'charpoly_factorization': [[[2023, 0, -90, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 23}
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id: 1862484
{'charpoly_factorization': [[[1792, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 29}
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id: 1862485
{'charpoly_factorization': [[[-7, -10, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 31}
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id: 1862486
{'charpoly_factorization': [[[-17, 2, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 37}
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id: 1862487
{'charpoly_factorization': [[[7, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 41}
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id: 1862488
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 43}
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id: 1862489
{'charpoly_factorization': [[[14812, 0, -244, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 47}
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id: 1862490
{'charpoly_factorization': [[[112, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 53}
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id: 1862491
{'charpoly_factorization': [[[28, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 59}
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id: 1862492
{'charpoly_factorization': [[[-68, -4, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 61}
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id: 1862493
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 67}
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id: 1862494
{'charpoly_factorization': [[[16807, 0, -294, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 71}
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id: 1862495
{'charpoly_factorization': [[[98, -20, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 73}
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id: 1862496
{'charpoly_factorization': [[[-82, 8, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 79}
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id: 1862497
{'charpoly_factorization': [[[112, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 83}
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id: 1862498
{'charpoly_factorization': [[[7, 0, -314, 0, 1], 1]], 'hecke_orbit_code': 130604389227300139, 'p': 89}
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id: 1862499
{'charpoly_factorization': [[[-16, -8, 1], 2]], 'hecke_orbit_code': 130604389227300139, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '1323.2.a.bd', 'level': 1323, 'portrait': 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Ib104Z1UylL3YDuUDBKPJYHgk1ThsWO4eQFRc3z2TQL29ZHbJwbsWEuZNNcyLaNlh2bFFdu96irJsdOtvn60z6PHkx48kRMqnq85WUd3vESS13NcfDENMfOas5cTDmfgfvwguXGq+f5xfcss33dFGcvTnNxucZix2OpI1nppfT6Kf1QcOj4AvtPdq584sD5lx8/fXbXiTPnb7/lte+I7r3jE883JP5Gt7/XDL683GEUWbTiV+9+9PBL/vVvflR+58uPv+T//PbTen5pM4srUyx2Gix2fBY7msUOLHVSljoxiysp51fgyKJg/boVfun7Frlpb4NTF2Y5e7HJ2QXNhUXL+YWE0/MpF3sJ07MjXnptnxdfAb6sE6iAC0s1zi1ozi8JBiEkiaHmG5q1lJmpBAOcOJ/Q7cPOjR7Neoi1AoRPf2jYsSlkcUWDdVJkpQ9hAhbLUidi6waP3lAhlEWYkHbNY8fmESsDwYmzmtRo5tqSVk0QeJAkgkEoOb8kObdoubCcEAQj8BJuuarPS64WrG/XWVxuc+pCwNkFuLCQcGEp4cwSHFm0vOiqBX75+5bZNN3m5PlZzi/WmV/2WehIllZSlrsxy92UpZ5loSc42YWVxRV+61+Nku9/k3efnPkJo+vX3CeF+fnEeNTq7ecbKs95+3vL4H/6kU/w4ptv4Kd/+l/9ykdvu/P/fN9H7rz02ROdXUfODuRLrhmye7MhNRprFdY69sZKQAICISxaWHwJZxfrPHhYcu2eJa7YPqJRA09LfE/h+5pmXdLwJIO+x4HjNb70qM+JiyHdJObAqZCNc0u89aXLXHtpjxdd0eH4QsLCQNAIRhw9a+l0m1yzW7IyStl3XNFqaJ45AZdtsYyilFHqo3XMTAv2nwpQOsWTCdqDYSi56YoBw4Hk2ktTusOUE2dbXLJJ0WxErISWDdMDlvtdPnYnPH4s5cljI3ZuWeS6y7vMzEa8+ZYe3/4Ky55NLdJ4mmNnpjhy2uPUecPpizGnL6YcuSg4uRLzgr3z/NL39dg4Pc2p87NcWGwwv+Kz2JEsd1I6vZiVfspy37LUhwsDxXI34aYrF/iJb5uXNS12XTh3+pJeP705aF5Sb7RmvvzAvZ/m/R/48+cbMmve/l4y+J/82SfYsW2zOnD46L89eerCLzzy1HF1eiFifqg5NzBcu/MCv/lj81y/p8GFxRkWOw2WOjWWOh5LXc1yD5Y7KcvdhKVewkIHTi0LdH3ErVcv8Z2viLhkQ5OVfpuLS3Xml3wWOoKljpMIyz1Dd2johpbBKGGuHbNjowEEgWc5fdFDyICdGxSXbLFs2TDgwnLIE4davPAyS6O+zNOHZ2k1I6LIY27GMBzBlTtGfOTOaS7fnhCGlnVTkjgd0qoFPHN8RN1rcv3ehCePRlxY9Nk6F3DJZtixKUKpmNML4HsWISw7NybMtCS9YUB/4NEdeCx1FUsrsNgxLHVSFjop5zuwOErZsbXPd75ygVuv0NS8NucW2iws11hY0Sx1Bcsdw0ovZrmXstK3LPbhfE9xYSXhpsvP894fW+SybQ0WV9osdeqs9GdQtT1pvbXpV9Zt2P7LneUL6Ytf9vbnGzqrbn+vAH7wwAFqtVr9zJnTOx565Jl3Hz1x9j8cOXaaKJV0h7A8EFwcKM72Yl60+wK/8WNLXLe7zsXlGRZXGix3ayx1PZa7muUudHqGlV7Cci9hqWu50BGc7VsQfd7xsg5vvsmwe3ONKGqw3Kmx0vfp9BTLfUFvIBiFliixpCkoaQk8qAeW6bZlw2yM9kYcORfx1OEAkzR5480R2lvhkX1T7NoMn38w4WXXBFzsDKlpRZLGzM5AEntoL2FxscFLb+jy+ftbXLIZHj4U4tHgDTcZEjHkqSMpx07X0NJn44xmpimoBwLfFygBiYEotowi6A0sK31Db2BYGRgW+5ZhmrJz24A3v7jDO14SgWmxuDLFxaW609tdzXIHVnopnX7CSgbupQGc6yrmuykv2nuB9/7YRa7aWWdheZrlXoNOL6DT8+kOLM2prdSam//Nuk1X/MXWrVtPhuFoeNlllz/fUCpuf28AfurkIdavX+8fPnT4B/YfOPR7X3/wcbG43JdRbBmMDP2RpTuElaHk4lByrhdz06UX+fUfXuSGS2ssrEyzuNJkuRuw0vNZ7mlWeoJOz9Lpp6z0Ejp9w3LfcrEnONcxzEwPeN2LetxyRcLOjYp23aPbqxF4ElBEicQYgbEwGAHCMNMaceiMxdiIOx5uEg7qXLrV59ZrB8Rmhbsfneb6yzwOne/TWW7z4msHfPmRgI2zln0nLP/727vsOx6wcVbypUcVt16pWBp0OXpqluv3Rtz91JAkbHDLVT57to8YJn2++IiCVHDktKbd0GgBg6HEWEFqLHECSIP2DZ2+pdmK2b455CVXDnjdCxPmmjUuLE2xuFJnueuOzXJX0OlDp5fQ6Sd0+imdgWVpIDnfEyz0Em6+fJ5f+eF5rrukxvzKFCu9Bt1+QLfv0xtq+iPJYChITM3suOQau3PXnp/YveeyDy0uzEdXXrn3+YYU8PcE4EmcyCgavPXJRz53abefvvfBBx/xugPBMLQMRwnD0NAfGvqhpTcUdIaCi0PJ2U7CLVde5Fd/eJ4X7vFZ6U4xv9yi06+x0vNZ6Ws6PUVnAL2+pTtI6PZT+kNDZ2CZ7wvm+xCnIdddNmTTbEp/YHnTi0N2bTIkqURLSxTDXU/UOHmxxuaZhKeP1MA0uGKb4obLDUFtwCOHBswvNLl6V5P29DL3P+lx42U1FgcrLC+32bTJ8uA+xT95dZ+H9mm2bfBY6HdYXprlhisH3P90ymx9mqsv7XOx0+HBZ6ep6yYvutyyd8cIZJ8njgk2zMZcmI+5+wmPUayQElJj2bU54nUvjuj1FVtmDDdcBlHUYKnTYKkTsNL36A4Unb6k24fuIKXbT+kNUroDw8rAsjSUnOkKOsOQW/fO88s/tMyLLnMXR6dXpzsI6A08ugNNf6ToDyWDkaDbT1npxlx/w4vi1Kqf+e53/+PDrWbjM57nmecbW897JjMcDYjiwfcdPfTob547fWh2YWGZRk1ikQhhs99KABDCWYBCWKS0SKl56OBGfv4DmrffusR3vXqJS7ZGnF9sE/h16oFPI/Bo1jW9uqQ19JhqagajlP4wZWNoGIaW3ihgab7G6VOWKDGcOZ8QBBYQ+MqipWAwVAg8koHmBbsEe7ZYdmwdEKY9vvCQYv/hGV7/woAbrlzmw1+w+KLBrq0DnrxfsXVasa49oKbqRLHHxR40a5ptGwWP74+4YW+dV1y/wB9/dojvtXjtzRYvGPCVByM+/0CTZ4/V2b2lwa7NKetnIi5ZF3PNrhSlDFpZwNIIAtZPB0SxR2/g8/Qhj/5IMxgq+iNJfwj9kaU/cN+9N0zpDy3doWVlCPMDxYVlS2Oqw0++cZ5vuzXkut1Nzi206fRr9DJw94aKfvbfHIwEg5EljCyJgbu/9pA3PTv3m/fd//DSS19y00/1+4M/bjYbzyu+nleAR6MBCPFDp4898KuHnr5zttfrorWmFiiMBWMFoBAChEizR9dJo6RFyRRfSp48tJ7HDjY5dPYib39Jn5dcNWK61Wap06DZrdEe+vQH2p2ckWQ40gxCzSi0jCJDFFvi2JKk7h4lPtaAVAJPC2q+YLolmGnBpnWGbRsHrJvpcPsjcM9jHtJM8foXerzgih73PhsTjdrc+gJBZzjk4mKTW/Ya1k0PqOuAUaKY78YoI3jBXk2jFfLogRovv2GKF1/X49EDCuwUL7zK5wffssSXH4/40kNN9p2ssWO9YtNsnZlWg6kW1APwtEVJMBb2HROkqSBOBFECYYz7jmHKMDSMQsNgZBiEhv4QuiHM9yUXexCaEa+5fom3vqTD97zWkCRtzi806fZr9IY+/aFHf6joDVUGbMFwZBmGhmGYEseWOLGcOnWOj37iC7P9Yfqf3vLGl+tef/CB1vMI8ucN4Em4gFTxD54/cc+vnj/21Q2e7NNqeoSRxVqDq6GSCARCKIQQSEkGblDKopXFU4a6J1gY1Pnondv4ymNdXnbNCu95zQrXXNJnbrrB4kqD3jBgMPQyYCt3jwRhLIkTQZK4pd5mi4aSFq2h5kOjbphtxWzdMCChz6EzMR+7u8bRU02mgzo3XqW55douDx7scMfX29x8WY0dmwd85E6BEgHtVsxKP8RYUALWtwd0ez4mqfPWl13ko59vsOdCjTffPCCKF7n7qTnitMZNV23gzTd2uWx7h688OuDJUw2eOOazbVYy2xY0AoHvuYtQZhe/sWCMA1uSWqLYEsbuQh5FMIygNxIsh4KlHgg94vrLV3jP61Z42VUpc+06y90GnV6d3iCgP/LoD8uVYBBKhiMY5BfOKGUUGkaRJUogsYqTZzt8+GN3bOgM7a9+25tfZs+cX/mjrZum/78B8Lf/5Pu47XcESyc/8f1K9N47XNy3rqZH2FadUSiQwlnzjq1BCJHdJUpqpExRSmTLs8FTlkBb6lqwPFIsdmb4+F1NHni6z63XrfCe165w/Z4Oc2mdJAkYjGr0hx7DUBPFijiRJKkkNQJjhcuCCkvgGxq1hMCP8L2QM4shn31Ycvi0z7HTMygTsGezz5WXKF54RRcVzPPUkRZbpxtcvRs2rV9mqdvmmq2SxFhufyggHEimmwlvuGnEZ+6OOXm+xeWXepxbGfHMUY/tG2e47pJ57n2yx/3PCMLI54pLZrlie8AV23ocObfE4TPw0P4Gh442aWhBoCXNwFLzQEoXVFnrLtYkhSiBKBX0Q0F3JOjGEJkEY0e86LIu73ldl5ddk7J5NmA0mmKxU6PXD+iPfAZDp7UHI8UwFAxHkmHo+kZHYcooylaGyBJG7nEUwTBWnDvd5bf+7K4N9+67+N5N62vJLT9w54fv/693IVr/9h8uwEcX/hO1jVN8h1r5npdf+eRvf8/L9003vCZxs4VSEiUcuIS0SKmQAqQUSClRSqCVyh4NWqV4WuBrg+9ZAs/S8FOma4Je6LHcneET97S584kRG2cGvPuVHa7YPmI07HP1JZbtmxRh7JGmZZpfYJHS4OmUExcsx84LVoaGT9/b4MzCDDbymKkptsxpdm7S7N4KV+/pYuQC7/9Mk6WlKW6+QnP1ng5feUIgEo8NM5JmI2EQ+0grwUqU9umMBBeWBFfZBq98YY/7Hq2zZZ3PzVfP8s/essCHPt/joQNN+iOPxZUWl2ypc/nmATft7fHOl/c4u7TEp+8NWBwEnDjnceaMj6fcsRIIjLWkBmJjSRPDzFzMtVcNCMOYK7aHvOuVIRumFLOtgDiucW6+xmDoMwjdKjcsgC0duEPBKMStBGHKKDKEYepAHTsdPoxgGAsGkaCXaC6cXOH42S+v+w8/Ufvte397U0zzg3/+Y//uD3nfL/3wPzyAP/Tg7/Cu//udYnj+Q9/xqa+e/MNnD+5raJXgeR5RHAKOfYQwSOk5sEuQUiIlKCnRSqBV9qgFnk7xtcD3DDXPUo8tjcgyVUuZqQsGkaQXNTl2usmv//ksmASRJLzw2gGXbIpIEjDWYK1L4kghkEqgPZ8DJ332Ha7RrGlavmRdQ7B+TrJhVrNlvWLn5pTLd66QikV+57Y2J05Oc/Nejyt2pQyTHl9/KmC67jE3ZZluRTTqTgoZI+mMFEt9y2InpdOv89KrV3h434D9JxXT7Ro3XTXND791kd/9JDx6uEl/aFnpaS4stdm0rsGGmRE750b8q+8Y0G50ePIYHDgl8TyLUhYhDGDd/ywkCezalHLrNQlp7BEnAdY2GEUe5xd8hqFb0UaRKuTbMBKMQsEocqwdRi4rG4bGsXVssvccwEcRjDJwdyPBUiQZJRGBGHD65OHp//AH4g+PzP9M8qFfveHj1+5+v/3nP/Aj/3AA/qO/9GF+6o+2qNde8al3/Nln5j98+sz+2rFzPofOJdxw6ZBmKssAUvooZVHSyx4VSqlMb0s87TSn7ylCTxJGhiBKCWNLPTaEsSGKLO0EwtgQJhAlglEsCdOAOK2x/3CTJ/ZDai0mu7CUAE+Cr1zNRyuAqzdDuw5TTclMSzE3rdkwCzs2hWxev0Jsl/id26Y4cnSKG3Yrdm+T7Nm2zFefSbiwOMULL5HMtA01f0ggA6wSJKlEWEuSRiz3a1xY9Ljhijov2Nvj3kdrbJwRNGotbthr+Ml3LPLbnzQ8c6bFSt+w0lPML2vWTTeZadeZaU/RbsSsb8bsvCEi8BI8naBUiswcKIu7qOJYcXFeEyeKOFFEsSKMs8dIEsaSMJKMIkkYCRegRoIwkx9hbAijlCjKNH2cyxIH7FEMg9iBezmS9KME4gFXXDLg8h2GfSeebrxwl/7wM492zU/+07nbfvQtv5kGG3/qWx/g/8evfYzpVl2lydl3ffZrS3/80KPdGuzAmpj5juaXf6TDldv6KGkQ0iClRSmT3T2UtHjK4mmFpy1eJPE94U6CJwh9RRQ7oMexJUpS54oklXsKSWpJU0NqcHrbUIBbCFAStATPg0ALaoGgEUiaDcVUQzIzJdgwm7Bz04BWc4Xb7ou4+6lZVhbaXLtDsXOzx2XbR6RihdsfatD0NOtnFK3GiKeOwLNHNddstwxCxXWXxVy7x3L+XMr8ss9w1OCNN/b42pNDDp1RNOuSwG9zzW7DL3//Inc9M+Qzd61jsWvZuSFluaOZbiummh6thkezbqkFhsA3BDpFKye1ZNZaaS0uYWUEiZEkqSBJBHEiiRJBHEvC2DkvUSyIYksUQRinRLEhqhBHGFfvDtzDHNyxZCWGYRgh4wHX71rmF35gibe9LCJJNeHo0Zr14j9dOeH/04RNf7l4/A/SuV0/+q0N8L2zqeyPlr7r/Omzv7//4JlaMNUiSlNsEvHX9/lEoeZdr+rxHa/pM9NO6MkULYNMZzs97GmNF2sCrRh5jmlCTxL5gigW7uTEijiBKJbOQUhK2y9JDWnq3IXUZk5J5pbk7oySTvb4WhD4klogadYF7YZlumXYOBuyfqZHYlf4+NckH/r8HBtqNa7dIdix2WPXFsPOzcvc9nXL0lKNKzYpZtrQasRcOC65uBzgXwJhLFg/JZmehkPHLMtdw/mFGpftqvHqF/b47D015loQ+D5KTnPNHsGPvPkinrzIX987w7NnamzsxmyYTphqKlp1RaMuqQeawIfAA62dwyQFSFEBOe7CTg2kqSBJyYAOcepckDhOHSnEhih/jE1mO+auTGZBJoJhLOjHgm4i6EWWKIyYCrq8+42LvPuVfV73Qku31yaKfKLEI0lO12I5+4e9ZJ02dua/43jmWxPgv//BT5Km5vuPHD36GxdOnmxvm9b0Yks3VgxVnUh53P6Q5uvP1Dm3vMj//s4hs+2EUVCnO6ihlY+nPTzt4UcpkafxIydNotil0h3jCMdEGSslCcQppKlzEoxxAZcxNu/hzMDtAO4CV4GnHUBqATRqhlY9YbqVsH56yLqZFe7bH/Gnd9Q5cGyaXVMeezbBtk0+2zbC5Tu6DJIuD+5rU1ce62cU0y2YboXMTCX4vkYId3ENQ5+lbszKwNLpJ1xc9tmxqcWLr7jIHQ8NOHCmTSOI8ZSPEFPs2ar43tcu8KLLL/Knd7R48OlpFvuaDe2E6UZCoyap1xSBJwg8iee5WEUpMvvQodzieliNoQB6kppsdcusxcSQpA7cSQxRYst77FyZUeJIZZADO4HRKMHEI+YaXX7825f4V9/dp1Hz6XTrhLFPFPtEkccw9FnpnW/jt35n247L/aPP3vah3Ve941sP4N1uBynlD73/Q7f96rHjp+cagQBhUQJ8Cf1E0JMeQylZCT1+4y889h1Z5q0v7/PK63tsXBfR69YZhgG+lxD4HmGkCXxn7+UAj2NJlLhlN04yTzsls/7ImFtiLCW4XZIyY27QyiVMfM9S8w31WkKrljDTDtm8rsuFzoDf+7TH7Q/PsrTc5NL1gh0bBFs3+GzbILhkywjtr/DRuzVHTzXZu1Ey05JMNVOkDDkzbwm0RAqwVhDFmp0bujxESnegWO5aLizV2butxjtf2eEvv+Jz/EKAp2OE8DC2SZxIXnjJMju/u8vtjw74yO2zPHK8ydYZwbpmSrOWUvMFgSfwPReraIULnKUoajIs7iJziTQHbGMoQJ6kTtI5sEOUulqXKE8eJYJhAr1E0ktgGBnSQci2dV1eccMKb3v5gDfdaNCiwfJyzQE79gljTRh5jEKPKNaM+mfmmlM73nvV9e9U/V7vA81W61sH4CsrHZTy/tlX7rznV/fve2aDp1xW0mQAU9Klv30p6ElJX9boRJqPfrXGXU/2uOGKLt/92gFvvrnD3HTAcBQwDH0CzyNK3AHKA6UkUcSpJEkkcSpIEkmaClIjSq1tBIUqsY65pXDJIpUli3zPEPgp9SChVQ9ZN91nGA/5ylOWj311igefnmbG97hmq2XzrGTjnM+W9ZJtGyN2b13myeNDPv219UwpzfopQbspaDdiOoOUz3+9Rsu3COGANQw1b7015HMPuJqYTt9wcVmzbUOLt7+kz4P7e+w75NMMEpQUDuSmwShyWv97X91h7+aLfPSuLvc/O83J5Tqb2oKpmqXhG2ra4HuglUBJsgSZ+955+ZHJpJox5QqXZEB3BAFxKojTDNipYJQIBomgn+JiniiiWR/w9tcv8V2v7fLCvSkbZzXDYZNuPwe2RxRpolhnIM/PneDw4UMbpP/1X7362ltNv9f9YLP1d9848XcK8OXlFU5d6DOM+L4vfPme/3z7F780t7LcQWuJM65slkhxroXOnIuahJ70GHiK092Asw80eOCpPn95bY93vXrIG24dMTvtE4UBYeIRxR5xookzoCepIkmzhE1aAtzYjLlNWVMmhM2CSlfHobXB91ICP6YeRLTqQ1KGfPlRyZ/fOc3Tx6YQccCuGcvmacu6acX6WZ9N6yRb1sfs2NTl1HyP932mSRLW2bZNMN3StJvQbsQIL6I7bDLdsgghsBbiRDIbKBKT0It9eoOU5a7izHydq3a3+NF/vMJ7/3vAifkmWsXZhaFJkhqjSLJpLuCFl3a5dnefZ06c4WNfrXPHI9Oc7dRpBoqWD03P4muLp0BLl84XYry6zgDWuIsuNYLUQpIK55+ngih1SaJhKhimMEwsSZJg4pC52pA3vmaFd7+mx8uuiZmqe0Rxk+VOQBj5xIkmir1sta2surEiSlzuYRQuc/jZr2xoN5L/vGfvTUkaHvuTUTxHs/V3Nz/x7xTgw+GQXZubb/vK3Q/97m2fvqM9HHTxPYUSFs/BK0umkDGLRacWTwp8ZaingoHyGSSai2GNv36gyd1PD7jpS33++bf3uHJHlw3TinZDu6Uv8UiSEuRpDnAjMVZirZMEtggos1S/si6I1QmBn+CpiO4wZr4b81u31Th2cYZH901jjc9cXbBhnWXdlGCurZib9tg4J9k0l7B1/YC56WVuf8zwyLPTXLtNMNOStBqSdsPQrEcILyQINFq5v28tpKlkGGqGo5jECHpDQ69vWep6nF9sc8vlfV581Qof/VKN+pJCy9gB0mqS1CeKXY/nuukaL9rT50WX9nnoFWc5MS/50zumubjS4PRigK8kTU/g5zJMOnIpiDyXKjgmT6wgMRAbQZjCKIHIWEgTSGKkCtkyM+Tane583HhlSruuSZImnV5AGPskGbAdS2vn1GSgdnLSPaapS0pFYYcDT39lzljvdzdvv3E5jgef/rvE5N8ZwJ98+gCbN29Sf/aRj1769DMH2ybq0qjlaXenAaWwmSZ0GUslHVN4yuInlloqaCjBUAkGOmCYeixGde54ZIr7nh3SDEL+6Zs6bJtL2LVlyC1X99DCtYgJ4eSKy0q6WmlrK8yNy5Aq4TxzSwIy4Zljkof3az77YItnTraIkgYtrVhft8w2LTMN63zwtmZ2SjM3Ldg0m7Bl/ZDN65e5++mQ9392A5unNevb0G4q2k1Bq5FQD0LuO6gYRRqv6UBlrSBKJDWtuH7vkAeemnaFT8OUla7HwkrAhYUZfvTNFzi9sMgDj6/Hk4CIMVAAKIwk/aFmplVjut3kxXsHvOLaAd/9qnn2nzJ87sEaD+6vc/Bok0RowlAxiBVKyKL8AfLAM8sJWENiLNYYPJEy5UfUiHnxDX0u2Txi27qY97whpO5LmnWPKGrQ6fnZSqozwlGF1+7usrg7h8vFS2nqVgzwOHN+yELn/vamrQuXvuHN364unjucbth86d8fgD/77LNs37bev+/+h35gMIx+Y2FxgVbTy2oiQFlLKi1J6nollXQdKVo5BtcJeFLgGUuQWGpK0EgFoYFR6jFMPQZpjV4v5T9/dAabxGxcP+KqHSPmphLe9eohOzZExLHI9LaECnOT6U8pDUIKPnFXnSePNBFac+JsgzMXGtTqiqlAMN20tGuGdg1adcFUQ9FuKWZamrlpWDedsHFuxNYNXVK7wie+1mbYb3LZNku7oWg1JK26oVVL8LyI2x+oEQ4k3gbXLZpLlGZd8cabhtzzmKEfSvrDlO5As9LTnF9scOUlLd71si6PPtPgxFILJQ0QZ3rZI04VYewSM/2RptP3adUbNOshV24bcfPlI05d7HD83AraS3niqOYvv9pAKFe4xuT8QWsAA9YSRyk7Nya8+9VD1rVTLt9p2TgHaeIRRi2SxGO565HEijjVWRykiGO3ksaJymKiEtDO3RJZvEQGcJEZAR6jaIkt26Lf2P/sI4PW7CUfOnhwf7R37xV/PwB+4fxpOisLe0+fOvV7Tzz+iAw8iSUPXiwmhUSKrMQVUukCzdgIdOJ0YpxavBQSJQhSS824CyIyligVhEYSppLIeMQG5vttvvqkwZLyqQfdyAasye55Fi+zyERekSiRSpHEGmk0npa0ArhkvaXpGRqBoRFAIxA065JW3cmhqZZkpg1zUwnrZ0K2rO+Rssxv/VWNe5/awJ45mGlk7N2QtOoJjXpEszGkXm8QKImSmQbHyYE49hgNBcMwpRcq+iNDb2hcy1zT5/SFKV56VchPfscFfvMvNSdXAoQwWBtjUkuceESxZBS6MtbWUNOs+TTqNRpBg1oQ06pHvPCyCN+LufGyhPe8ZoBWSZYEMq7evirKM0lnjEQISeApwGcUahaXtavbSfOYJ7snsoyBkuyeOnAXwE5FkVzKn6cpJEZkLpczIB588BHZ6cvfW79x8LUoCp/+u8Dm/2uA33/PJ2lPyfqJ44fecebEETE75bvMYWJJjMGkjr2lsaQZyBNlUSmoFFLlInad2uxLZxF9mkX1eWRvRPnaCCIjSawkNZrYBKSZ7VW9FVlKAVoIl6lUUKtbatpSUymBB4GGmm+pB4K6L2nUJY2adgBvCqZbhtl2wtx0yIbZPls2LPL+zxo+csdGtk8r1rUM7aai1VA0G9Cop7TqMecWDUfOBdR8d0FDXuknGEWaSzYZNq0b0R35DEc2Y3HJSk/TqtdoNaZ5z2sucvTcef7w01vRUmMxpCYlMZY40YSRYhi5oqhBTdIYaeqBRz1I6fRcjOF7qUuYeSlaukYJKV06X2R3V7oiAJGBXNAxWZWlcXFNmkqMkSSmjHccYPMAP39eeUxE9r5zZNI0D2SdnZvm5zkVjEZw7/2Pi127e+/YuWvXkT/9808Mv/d7vv35BXh34PuLy4s/tzB/8ecwI9moS8IYEmWJE0EqLamyqNRkz0GlgjSTJ4kBnX3RNE8+GJu9tsV75fOyUi5visgDparmBrJMngustDRoSVbTAp4SeNo631gLaoGk5kvqgaJeU7TqklbDMtVMmW4lzLZD1s0M2LFxkQcPhnz0ri3M1AI2tgzthnDgrkuaNUOzltBqhDx4AJ7Y3+DS9TbTvWXafBgqbrzcctmOIQ89Pc0gtAxHKf2hzkDu0ajVqdem+c6XL/HEwYs8sG8TWIUxqSuHTSxJbIt6kmGoaYws9Zqi5hsC3yPwUwJt0DrF0y47rJRrGMljIYRzt3JaKINzV0JsckfK5PZrxYrNgW1yZs5fUwB7LdZOMysyNRQlFVFs6Q/68sL58/92w7q2v26m9StA9LwB3NqeDEejf//5v/7YTy0tnPOl1Pg6B5dLMOQJhFQ6UKfGovL3lEWb7LkRhZzJn6d5xs3mmTeLyTJxebLCWksl8z624uap6ty1UTLLWCoqRVsu+xf4ilqgqAeCRl3QqlvajZSpZsJ0K2RuasiW9cs8cGDIv//jjZw8Pc3udYbpBrTrimZd0axBs5ZSr8X43ojOyBWLecoiZfnJHHtJ4sSnXY8ZJIZBVmc9GKX0BpJOXdHoBdSCFrs2xfzyD3T4dx+WfH3fRiwKYw1pakjShCgxRLFiFCmGgaQeKmq+JPAtga8ItMHznN+vVV7r4wCuMpkihB1v0M1S+zYjEZvVsqQZ4FNTPjoyktmjKAGePc9Z22WVS2An+aqdmgzkBiEEp06f8RvN5s987/d+nze/NPw362fr/8Pp/P9hgB8+3eXw6fRXzhz+6r8kOlJrN6XrxoFM81LUeKRSkKgcyBaTsXqagdvkz43AGFukkU3h0YI11nWRZyWg1TsTAC+bJbLPINznUMrZZTprRfO0JPDdAKBa4EYy1ANLs2ZoNVLajZipVsRse8iW9Ss8sH/Av/vQOg6cnGXnrHNYWnVJsyEde9ctjVpKoxYTpxF/9qUWUik86TK4BYPbfAn3+N7XL/PFRyJ6UcAgA3h/qOj1FZ1AU/MDAq/N5dsT/sMPLvKLHxLc//RGjJWkxmTgcIVmYWQIa67cNQgENU8Q+C6z6WtbZGy1Mkjl4iGZlSUXAC9TnkBGIrhcgnNbskA+B3A2dcAUybUsgCxWXlGsziXAs9W4qBNyq1Gc2qwmRvDQ40drey+/4/9459teJ6xd+nkhZv/XAjzsHMVa8+Ljh5+s12WMVh6pLrLgrsZDlhpbpQ7oaZEezsGdyw/3nilqJcr2Kwd04eooclDnB37ic+UAz2sw8kxezt5a53UnEs+Trn7DF9QCN/OkEaQ06w7c7WbEdHvI+ukOD+4f8O8/OMszJ9axbUYw16xIk5qmWXP1K/VaQj2I8LyQM4szeEq4SkmR6Vuy1SiVJIli84wlSWK6cS3rlDEMRym9kaQ+UNR8D9+r4ekprtiW8B/+2Tz/+o/ggWc3kBrpAJ5a4iTNmNwQBoZaJBn5qpBgngeezpwrJV0uIMtFSIFrMhHlMayShrVZJthkrJ7Lwyw5lGeL07TyviklZyE/U1usxGlR3WnHmDzJ5tBEUcR99z9av2z3pS+urn7/SwD+5S9/iYVF01g89Xlfpn1CoxHCZcxQJchS6a7mHOhOezmgG2NJNQXYx4GdyxBbAN3mciR//hyfTYqyiMo1TIgC3ErKrFEilydQ8yDwDfWapR44/dyox7QbEdPNIetmOjxyaMQvfmCGp06sZ8u0Yn3TMFUXtGqSRk3RqAvqNXdxuFR/xAP7BP2RT03lSS23quVNCKkRxImmWVPccnWPB59pM4idTBmGKYOhohcoAl/he36mn6e5crvh1374Ij/7B3D/vg3ERhIbkzVLlz2YoS8JfOPY2yvr6LXK72QypZRxMsvyrgXyPClkc4BngE8L54U1V16TxVK5o1as2kVMlb1ObWYwOBVQ8yVnzvb54z/7nP8TP/i2xpe/fMfgta99/f98gJ8/d4qNm7ZO33H7p953cTF+ubIG33MZSq1cQVUuDVKTBZn5siXJGLu8yo0Sa7N2BdCmAHbZFEymvYuTkSWThMzAncUAqgA4qKxi0NPge7hOID8rsApS6pm8aNVDplpDZlpdHj8c8osfmOGJ4xvYNK1Z3zBM1aFZEzTrikZd0SjYO6UWJLQaI+5+wmelU2NmpkyT54AxmTaNU8WGOcVrXtDn7oeN66KJTAXkkponqXkaT/toXUdKw5XbLb/6wxf52T+w3H9gA7HRxFkFoFviHZMHsSyqC30t0TorwpICpfNjQ/H58oswlyqiWI/LhNDk3VQejak8FitvCW5j1gB29b1MumCzz4LBk9HLH3/q8B9927e97ceOHT2+csnuXf9zAR4NTnH25PmfNeHR79J2Ac/Trk0K92UK3ZsvTRnQnc7Or/Lyis/lR1rIEAr2HgskJ5k7Q3qekSu0t8wD3FJ35xWDWuHqM7TF81xjcc031PyUei2hUYtp1kJajRGzUx0ePRjyc3+wjsePbmTDtMeGRspUw2bgzti7JqkHjv1rQUIjiEhMSC8KEEri5QxeaHCRsVtWIBZ7NP2RKxeIaszkIB+lDHzH4IEvXU28zjegtVyzy/LeH7vAT/++4f79G4mNJkwFUWoyFhfUYkPgWXzP9a7qLO7QypUIKymz45N15eePlcKs4sKsxjoT4C5IqEJMVXAXcVX+OqV0wgrwVy4Qa7OiDsGR4xcR3uHvWr/5iSNxFP/r/6kMfuH8GWrtLTuPPfH716rkJNNti7Xp2BVurEDlH1yKSuAoCnCnlZrkfDRanvUsD5ioMEWZlbTVNTNn7WpQmS+3WYeOyoIprbPOoKwIKa8erHlppptj6rWQmfaAqWaPB/Yl/Pz71/HY0Y2sn9Ksr6dM1SytDNz1mrMTc3DXg5San9BuRuw7brnr0Sa+lHjKZEFcqSPz5TtOFYnRvPKFMZfu7nPkZJ31DbLudNe5PhhlLKwVWntZssx511fvhF/7kQX+9R8YvvbMekZx3SXDEksjq+EOPBzIdb56maK3Vaq0WOGUFBWAiwrIWaVXSpDbcYAXFYrlyrvWylyyOxVw24L9izRdVvb89P6zKP/ha3/l3/zIzlOnz5zYvu1vvt3h3xjgCwvnqdendp049tB/ubgweFsUjaj5GmtTB0byyjRRgHbMTrIWk+ZyRKxa0nJ/2Bae9oRLssotyZh7EtzCIlVuCzowaJWxtrb42uB5hsAzBH5CzU+oBRGNWsjs1IDl3oB7noZf+/NNPHl4HesycE/XLa26oFkThVfunBfj2Nt3AK8HIVGaMhrWqCl3kUlRWfrJNavIAk3ttLwOXWd6LCoAN/h+iu9pPE+6qQLSKwCOgOsuEfzajy3zn/97wv375zjbaTNqSqZTSyux1LKJA4FnM+8/d1Jswd65VMkBXnze7ENXcV4oxOyk5KtqCe5xSemqOStgt+NgTk31d0o8OCKwWdP0gHCw/LZ77v16euMLr/s/zpw5e3zr1i1/twAfdY+RhrWbB0vPvKO3dJBGXSFlWvFJc9bN5IeVBXMXVpIShSRxoBbZ0lbWi1elSBXg+SGuqsJibgrVYCmvVrSV4UCuLNbTJhszkRbgDvwM3LN95peH/OqfNfj019ez0J9h/ZRkfS0Dd83p7kYWWNYDSSOwGYM77V0LIiDizsd9lmOfuYCxemzE+AqVpq75oR1oXn3DgAcORPTigKmiY93gh65W3dcO4DpryBbSJWiwcMV2yW/+8y6fe2DIr3xwI6cXZhhOa6Z9QSsxNBIIYjd62VduoJGXB5pSFEFw/lgN1KsXphClS5afH5iQkFVgV+InUwF/NY8xxt5r6HprQQrFI08eYtOmje+QuvFng/7w+N8pg6dxF6lbly2f//K/8NOvs3EuLjpDbGb+2xzEefYrza9SOQboQmsXoM4liC1tqEnWrsqS7EDnzJKnm3MXQOUAVxYtHbBdb6fr7/S9FN9LqPkxgR/Tqg/ResDdT6T80efbfPbeDUSmzYa2YF3NyRJnAeY+ucruImPuKnvHaB1y37PTDCLN5kb+eSYZPF/dJHGiqHmKF185JDEO4MNYuK71vHM9NC441NlsmMzeE1ly3SJYNy34rlf1aQVn+eDnh9zz7Bzn4zqDmqSdWJraOpDrLA5RNotLsuI3mR9DUdaOSzdbLD/WkzsKFlIlH1EBE9q82j1UsnTO6HlOw1TZuwC+oKrxo0Tz8TueYfuey//F97ztJY+tdAeHptvffCTcNwX4yuJpfum/fRrfn9uye+6JV7z0kmNoOUsYeS57ldUr5JmuAuAqf23L98cCSTGutcmSCWPArlgPVftK2AlpkmflXMWgG+1msprvDNzK1WIEXozvx9S8iEZjhO8P+PM7NL/+Jxs4Mj+LF9TY1BLMBintwNIMoJl12NcDl+2sZQkhV7+SZiuBkycL3ZR+5OMrhS9tEWBS+Sr5hZ3XbkSJR90bsWl6yMqgxTAW2bg1Fyt4XprZfCqzO5UD+Fjg6iof3/ayPjdeNc+v/emIj9y+nqWkySDwaHqStnY1OIEGX1E0Q+g86ZOtfLKQKmUCqEoq42KlCnTGVmAzxupVbT4uR1wCqTQc8p/liaLEQD/xuLCwjEzueQX2+JYgWjl06PApLrt0+/87gFub8os/8rZdh44+/P4j+x+iWU+QMkRKQ5zoShFOWa9Q6PDqc5tnw0QlgKxcpYiKJBET0iQHty3ZROaDOCsAlxaVjZ4omTvNQJ7gaydJAj8k8IYcv5Dwh59r8smvzXH0wgzthsdsDWaClFZgs9R7Dm6ZgVsWSaFapr0D31047WbIbfdpDp2oU8smcBXtYpQoL8Y4WKfD40RzxU54y409/ugLc/QbmnY2eySIsrhBGbSW2dg6KiD3KifLrQo71kl+/p8MuPaS0/zBZ2c5en6KpaTOwNM0laCRAd2X1l04mctUrH75cc3tQ5w+LzOddrVPnhNTXjpR+OarLcUxvV0F9FhcVhbXjYygEwuGRvCxz+9j68ab379n91vflKRL31SqfEOAWzsCAlYuPrBtRj2+58Y9Kyil8LTrMFHSkKSaVLmKs3zZNVnJpa2Cuyjeydk7v+cHQRQsULJCTtt2TAfmwBbZqDcpc4CbzDXJ2TvF04nr3NEJQRDi65BeGvF7H/f54Oc2cWZxGqPqzE4pZn3LlG9oZMzdKNL3MqtTyaRJ5p0X4PZd9jKMIw6dDuhHATNB5uLkSafclcizsLZSkxJr2k3NJdsiVDCiF7UY+oJ6NhLN1/n4DCdRdO56CPUcwati/dSAH33bgHe88jwf/FyXP/zEHAvDJkNdo6YVDS2oK1d/72fdPkqKLLtJthratZmcNeTKpMMCjMVSOXArRDbJ5GlWipFmzxMDkREMUuingPD59Ndg88Zje970yplt3/aGG46fX0jZtO65t5r6hgA/ceYiUrXXx0Px8XT5K97mWVc74OmkkAZKmWK+n8lKK02lCq1gbJMzdwXYGeBLxhbYNT+JrdiBtgD2mDyR+bCg1AFcp2iV4nsxNT/C9yI6o4j7npT8+R1tPvG1OUZpC9/3mfMF076h6VsagaXhl+CuBZIgkASZNHGJocyZyADuey7zeeyc5Z5HGkSxR9C0qwLM/DbuMLmWLs/TvObGHh/9cp8Dp5sMa240Q+hZ/AS82OBFxs1wlCKTEbIc7kN5PFMjSYykEWg2Tg/56e8ccOWOkI/c0eLhfVPMD5uMlI/naWpaUJcQ5AOWcntVZt1XggrIx2tWJouzqoyeE9SkI5a/LoNOUbK3zYBt85JoGGWNL4lJwSbERvCZux/wfvDd130cs/gCTW/+f5jBd6yflbfff+jm9330nqmNtYRf/P4B66YkYeS7GYIiJUk1ShrXKmYEqZUFm5dyZFyWFPcc2JlEqTL4WOGP69FxTF6klE1R7ul0t0Wr1AFcpYUc0Tqm04+592nBH3+hzR2PTrHUaSHrNVp1xbRnafuGhmdp+Ja6T8bajrnrgaTmK2q+oOaTVeiZDNyGwHP6W+mQg6fhTKfmEiuZvh1PnJT1M64PMquLNpIo0mxsCy7bPuSpkwmD2CPMZnz7EQ58Kp+smydqQE505hQBWmZDxqmrD3/3a4a84aZlvvJYjw/f3ubhfW0Wew060qfva3zlphwE0o310NLtUqdEeZEqYYv2w0kGX1W/MsnkFUIzTEgUKJg7sYI4Y+7IkrXQpWAiiEM2zwz4qW9fYVtw21Rn8Z03S/8FX+AbDA/6hgA/e/5CsHma358/e6F5+8GNbJgN+b/+WQdrcxbVSGUwqcpALUmtxBo5AewKe5tch1YAXjkgY7wwJk3sWIG+kyUm09wGJVM3ED93M2TMfC/h7kc0n7+3xafvmeJit4mo1fBaHm0NU57r5Kl7ZLID6r7I7jIrOc10ty8IcvbOAa4TfD+h5kdYG3PnowEnztVZNyvwpCmn467BdkX5aSYphqHHzo2C19ww4JNfj+jHHsNYUPNcv6qfTZYqVylV+NUIOSZT3F2WjQrG+e31IOTdrxryuhsX+dTXenzu3gZ3P9niYqfBUPgMfY32FFoI10IoJZ6wmdSyKERFGo7bh2uQ+ZgLVjK3KALQ1JayJMlex5k0cRPIsmIWE7l7MuLHv22Rf/pGy5HTS82G8X5f+2euBIZ/a4DPdywmGX1Pcu6+6dffdJi7H6vx7AkN0hQaXAqDMppUpk5zZ93sptL0a/MdiK3zxsdOArjeyTVqAscCygqw3cphi1mGuRzxdUytFjMKUw6cgeNnFR/70hRfeLjNxeUmeDV026OhJC3P0tKGumepe1DzHLhrnptJ6MpMZeUusp/bDOSmALnvufa0I2cNTx0LwPOyZd5WUvRiDAXVICxN844XN875mktCrtrWZ/+ZBsOaoJEIgtgSKjJrz2TsnbspuQVZapXCZ89jIqOy6QMeo8ijXg/5/jeGvPWWFb74SJ+/+HKD42dr7D/TIFoJSALNSGukki6dD+jsMWfyQrpQBv+rboWbUoLasbWoPC/vJge1NUCagTsGG0PqHq/cFTHdNvz5HRe47IonaDa/8cCg5wR4v9sRURz95OfueWL6jbee5fNfn6bhp+CB9mNUaIijlDRNUTZjcFvtaJeVwLIywgGRgZrK4wS880i90HwuqeEkicl2eUgJAjdJNUlTzi/Cl76qOXK6zl0P1jmzXOfI2SYEAaqhqWlFU1ua2jgXwXOD82ueG9fmQJzfZXZXGcDJNHcGbi8l8Bx7uwsr4tg87DvewJPj9mAhUSjrwQtHIXdSTNbXmHhctXPIZRsGPH00YZB4tGJBqMFP3ExAVQG4lAIh5RiTw3jgVsigVBZ9lHHqEXo+7XrE974+5GXXdjmz3OXOh3yOngr44qMNzi7WSIceRmpiXyGkdCtF1pUvyTKelFMT1gL5WKBJNUuduy3Zu3kvbRXcNgWTzeGLUpCWYSS579mUrz7R4wVX3bvu2173U/9i0D393kZ725rh23MC/PDTX8SYhG2t8+zcCP/pXy7xyTvr/O7Hm1y9O2brbMqlu2I8m2AiibEqO5hqNcizPj8qoxzK9rLJwNJWIvaStQspolK8ICVOLUdPCZ46qvjSgw2ePubz7LE63TAgjALwfFTbI1CChoKGNtQrPnCg8zqNvGzW1YUHmSzxfYXvy+wCsKX29lKXWfSczq/5MdZEXFiShDZAa4kvLbpis00QeAHy1I73O0aJh0CzfjZCqhH92GOghXM64rJgTCszloGUohLF5sOOEIVUzFvL8sFIXqqK8ROD0GfTTMSOjTEv3B0yjIb802Mdnj7u86UHajx1rMbRkzXiREGgsFKBkKSykg0qkhRraJUxcZ77wPmjqTxmd5NmByiF2KBJ2bMrZutcwlV7Is4uSt73l7McPdfgjvvjplQPfZdS+r1/KwZ/8smPIk1H+dEBce2WDhvXWfppyn1P+Hzg4z4zTcOO7QnXXB7z+ptCXn19BDbB86DejDKdLcEIktixeh5IjjF49ZK3ZLuqufklnrYgDEJa4sgyGDlGP35a8t/vCBjEisefrXH4VMBC3ydMfdA+KA/VVvhSUFfQUJaawo0zU1nhkXKs7XvCJT2q4PYkfiZLAh8Cn8w1cSlzTxt8L8kyojH1WsTF5ZQv3d+i0wuYmRLozIvPi77EczGbqQSERhKGinVzijfcMuKLDw852Wky9KSTKRq8xOLFuWedeewydXYh1VknsvgbxurK33BA91NFqhWJ58Y+xLHnrFQvpunHvOyahBdfGfL2V4w4eEryxD6PYaT4yJcaHDvvgZAMhpo0Unn5JlbnAJ+wjKrp2zGAA9YgUoswpTSpN1M8zyCs4dU3hLz+xhFXXxGzc1vCTNPy9EGPD/xFi/n5Op+8t8b5zhHxjjfsUn/12b9M3vmWd/3NAB4nAmj93tMHT1yXhCsoT/P5B1vc/0yDJJUshnBsCe5/yvLxL6esn0mw1nDD3ph3v3aUdWvA+inD9ddENGvZymNFkQNbfc5FMZynMxA88aRmsSup1yQP7vP4zNdqjGLFKFacO+9jhCa2HkZ4oDUi0Ggp8ZWgJi21DNiBsgTKuhpwnXm+umRuP+/LLMCtsh5NUbC37xl8Py/QSgv29v0YpSK++pjik19voXzt7LYx/f3cDJ574WmaOx6K0cjjrbcO+fR9XT5y5xT9pEYz0+FersPjPClji24hIWQBMPen5FiFZ7VhOEkliXZM7mlFojU6SR3QVYpSbpD+TC3h1ssTbrk8xoqQd71qwCh249z++msBD+3zqQeCha7iiad9ugOZqSTBc4ryYucJ1xp4/fUx66bTounh3a8dcv1lMdbC+hnD7LRBZ+XPWMtLror4uR9c4XMPGlK6bJgdXLd98xW/J2DNQeOrAH78TJedW1rt/+t3P3X5n3x0vTp3MUUIy8hIkrx71y0qhNZyoWO5sOKq1A+etHzmq+5KtKllasZw83URrbqrA14zPVm91DPXYaWvePgpn25HIbV0M1GsdswkNG4usAapkVLiSeHALC2BNPjSAcFX4KtyRp8DuSgbHrRrBMgbj6vgdgyfldV6OYOnlXtCoGOsjTiz4BOFNYIpiZ+lvVVWlTeWxcw7eoCqdVp0pxtFFHvMtBTb10X4YsQwCRgmgrp2QzDzGpI8oaVktbxVFn/L/Y082WbK7KkxWc9kKY2SJM3yBiqby54QJykqdrkErVKkTNi2zmQrhuHKHSMiO0RqQ6cjePgpzcpAOnhMCPJVFkJWjNWsGV58XczUjMEmbmWvK3fsQGCMwiSauDItQQrLP3ljzHe8YRFjBHEolG6PLp/b8Z62td2uEOMDPFcBPBktcPLk8nuPHz3yqhNdQ6hmwCagbGUJqnz0yjT5xBo6uaZSlu6K5dxXm5WvuBbAq/otOzlCYPItF8hqToUqgxwpMysrB3WWdpZkG7fmvnHlUWed9Ips6z0KcLu2LoWfgdvXFCWmjsEzFtcGP8uOel5MEMScWjD86ReboH03Y1FWEjxj4Js4bJQM7hqIZTFYJ4o93vOGIZ+6e8izF1r0U49G4jaldVWAtuzEUXlOoBrs5aWLuRSSlQKv/G6KWhitFV7q5qV4GdCVLJNmrm48ey5MNjgoRQuLsCnrGoZ/9FIDIi037xX5/hlrnPOixkiAUZhYF3FaEktiRMWQcBdqgRZh3KwbQBjFIIxZ6B9/la2ffq81yY9/Uwa3K39NqqR/6ZanqStBmASg8l8Tq4MGqIB8IohQltSrgHtNfOfslgN8PHgRUhYtaEqAJ1xaORCuWtCT7rWWZDUVWfd4XkikqcxBIduZreyqLwEuC9kS+LZoafN9Uxmck+Bl7O3rGCkjTpwXzHdrCK0JJGPyRIpxTqhk6scKzar6OEkVUeIx1w7ZuWnI/vMhw1QzSiFIBV5q8ZJMhycUzlKZQldjnQr5aXLWbd5FIyrSyKBTQ6okSufbl6usWC1FKpOtFKa0ZjOQi/xv46ZkCWkL1ysHeu6AVb9/DvAyuVc+FsAmNyKqdUlZ7WTmsikBhpDbvnqUpc9/0Xebb30TgJ86/zhaCY6cXCGMp0AqpCoHqFeX2XGc26IIfjXDf4ObEG5Zza8dIZCUKeJizLKweCIDbSYB8ufFexnZl6WgFA22vhIO7GPglu7Rz4GeB58ZuPPuH20KieJpp099PyYh5nP31bkwX8ebUvjVGo6qg8KEIq2mriuFaXnSZxS6CbZvfkmf+54c0U1qDLSmnhiiLJ2uZFkQlRecOXbL/1I151C1DrOZKhZS5f6mNoJECXQqs13sXC1PkgG9TKaZIsEmpakk3kyx/WMJ7szmLfaKsRU+HzcXxgGd28njF2h1aksuwowy1IMhG+cu8MQjTxXTw54T4P/5Q1/i2W7jpX99++duvOdhSERAQwtneU0ssWnJ30U9SVFXwjffeKUQJHmyIF92skSChsJqU1nK2M03KTWuyoGdDdTPRyFUgV3MQVG4fsS1AJ4HnLnu1rkssZneHq8l970Y34s43zE8ergO2s8G+tsiPV8wOKuVnWOqStVd0ZcqC088jj1uuDRkbnpIZ7nBIFE0FHiJ+y4qdQOUVFwFeLaEF39ITlRqiqxvMqsbUobUCDwjSJUkVYZUCZIM5NXitbwcQuYgr4A6L5kQmAzkGaCLTLStLP6VYoyx+pXKayvK5pAqy4/xokUkrt/0bbdEvPKFoxt37v62l77vF192b2tj6aaMAVybCCL7j4b9+vUaj40N6T50la2zJ4aSvfPfMJULyLBakYjMPqmaSflVnmfFSnCUg/InSzh1XhuR1YDnpZ6uuTjvVHGyRBXdKyWw8+Zbx96Z5tYUeju3BB1jl+D2iurEGEHMZ78WcN/TLWSg8aVw87eLCsKyja6s+JvMZoqxwjTniStSoxiOPG65eshbXtbjDz/bIkoD+qmkllrChGzlqlb9mUzOmYkL6rmYHIyWWU+kKMCdKolSxjG6lNloCVMpRa7WAFU27h3LNudMXoKx+NaTZQv5TyqBZMHkz/V+RbKMogBsTKPVvL7fD/+RNdw7hun8yfETp5mear3hY7d96Z+o0UV2zrigMZ8BuCojVWHrfO+bsaykKH+3emqrczdycOcAkBVQSMqah+pog5y53RYk+WsyBqdowxpj8awbxlPj4HbjFCaYO+vZ9LP2Nk/nDQdJ5R4TEfMXd7ZJbYAqspfVALPsa8ydjTENzkS7npFuOlSaB5sagce7Xz3gzz4XsmJihmmNYSrwEgoWl9IiE1EUnTm7cHL9lBVrUlDtmkl1NrZBZSDXFmWcXMlnSiols+yxLEqTS4uyWt1ZljEXTSkVzZyf+FUAnwzPrHAyfaIIr6rJc3JIjSSOG0SLIevT9J/s3PvGu5YXz35xZm7LOMCTJCEMo0tNMtwjTZ/phmYU22KOXDEyrZAiZbq1utR8E8XtvnTO5BV5UgBdjAdohRaf0Jw56KuzPZQSpRbPKu7Ght1kwNZKlE5KYQe6jnvXmGwz5i4DTF1h78CLePSw5NDZGlZ5KCnxpUFP1mlUBPiki5Lfi06nSnNI7qjEiceeLTFX7e7z9YN1YuUzTAQ1CV5q0YnI5FvWhZNkOpzxlRcqAdxYcFupxS7cFVfv4sCdtbMpWwF3XgtkszKBnMlLh0NUwI3IJ2Y9N3uvgfcS6GNEKlbFLUmq3HjnlQTVivZsTcJL4yT54ioGF2YBm/bx1YianxfHuA9XNA2P1RCUjF49iN/sY1elSQH4KtAr4FZFzXdpu5WSRbjueVGC2wWZougW1wW45RjAq8N/XLc9BbCLbGXB3Cm+dokd1xUUY4n5yzsbLC7WEYF2vnv1IpyQJmsF6OX8l5JVx7xpo4hjzbpZyXe8psejh9uEaY2B8qmnTovn5axKkoE7XytM5olXo6FKNjn/m9m8x+pUKneXKJOvSLZ47gAus+9pira5vMtfCFk2R0wy+ETTSpnuW11oN4YpOx5ouuMmx2psokQRRnBhMaRxaok4HhX/vgD4R/7qr9BacPhIn2EoIQvWBO4LpKb8Y9Xi9fFA4Rvzd+7/l/Jk4rEK6CqLj40XKxlbVhlciQqL53JFovQ4wH2dDQDy8q0DswyntnhFKt5kz9Oxu1auc+fZE/DxO1qE0kdJlWUvxy/EyQzm5KVfqNKckaptfhmDJ6kmSDXf8foRf/yFAU8erRMrj4GU+KnJ3COBTG3lOFnXXiaq66nJ/tb4vkVVJk8N6MJCdKOtVVYSoFJbDuss5rKI4oJOJvS4O5/VYjkqTJ6D/Btjpaq3x4Lk7DGttPxhYaZtWVl5gvvvO4SoWBwa4MCRM+zdvaXxA//n71+y79BB6gqCPFhSjrmlyMoZc9Yeu7K++U2IyeertfdzSxRRAGdyHLKsMHYeZOZTm7TON3nNtLeaAHeevvfyxmTjZoYULWJ5T2eS3WOUF3HojKYX+aB0Jk/sRHns5IU7jvDxgUYTXnjWjVMmfjRNT3D51hFPHopITcDQ+NRSV7OtMw2uhJux7RJLOVsa8iCzZPKyCC7vcNfFYFP3njJuIpk2ZB1EbgODvCE5n66V5t39hQFQBpdF4DlxvvPLe636nEk3Y7ziVJQSuXCdHCEA+H7KVZv6bNyy8ZJtV/104wf+yf82CJrbHcBPnj7H8vLK66/ZM/uzh/eN8LUoTlYxo0JOdElXRwWwxmJjJ0BdYe8c5AKXz6kCoQR22ceoKqyoxoZq5iCnrJFWFVAXz7MkjyLzwh24HYDLoUBeVZ5U2VtlfZ1+xFLP8F//qsXisIYIPCdPpB1bVcrBOd9Yc45NE8jnxBQM7hyVJNG0G5qfeGePrzzaZjH0iaRmKCV+1kNZjnzIGLxaTy9MUUZrMRm4DZZqnb4DjM5mlORBeg52JUXG4E4SpYWLQiFTSh1ethOWMiUPPEurMH/fVrBRPS4FnooivYqcqzSxl51iiuVOzNTG7T+7PL/v3iQefKpg8H3P7qMW+CxcOMVMI8Xz/fHhiRZkVTPmLF75QGvT9truCRPsVmpwUYJcTkqU8cE0BbClQKpy/JiqgFpLic4kiS4AnmtuUwSVnjYFuD2d11+Ms7enYnw/4mN3ejxzpA7SQ0pJkJfGVqzNYo/47Es+ZzVhhc2L7vKKTEmMzDZ58rhmz4C3vazLH3+hhtEBQ+kTSFEkfZQUxJWAbpLJRZXJbTVoK0FiFCjrVoV8BF8+29GxuqAcK1HOoikn07o+TiHH5UnhrFRxMPF6TQKosnlllF/eTJOaasDpdoxO9QW6g30kidsYQgNsWd8gCHx6KzXOz2i3CWjsBpXngzHdhCGb6XD73KCe/IRjOjQvzLerBsqMecZFYClKNi8Y8psBXJYAV5Uaap3VpXgUUsRTpVviVYYDlZrbsben3dSq5Y7hr7/aYqETQC1zT0QlGHsOiYIQ40xeqXBYZdvllqGRmDR3UzQzbcU/ftWAT983YrEfECnNMJWZPSky90aUzdhyMrFiypoOC6Zg83xlFujcWVHZc5m9zsZf58e9CnIhBWX3fT7EM5MmY3pcTMgVsQbACz53Vls2aaGwnCdAnkuUJBGEsWS562FrAapRI4ndd9W95QM0W9O7jh587CfnT19kuh2w0ktd9R8u4BBMZCsnOnFWxcEVtrZMnOycqScYfIy9xw5WFguMAXt89ne1w8UNd2cc3PnOBjlzqwpzr2LwfNxEOXJCK5e5PHZccPBEDUOAkLpozi2rB6vxg6i4GuWXr9ailEwuKvJEFE5G0W6WarCaK3ZG7Nk8YnF/HZv6jsVTJ1N0xcUp2bNa6JUJ7ryMFtzrojEll6Ll3MhqbKOMu2hMtktekdCSJRkV4DYim6WSa3IxIVXGG5eLIzNGBJV0/QQhWCrZ32x/oCgR9Eeaw4+c42bv0p982Utf9viDjx06rs8vxbSi0abD58M3PLD/HCZpOg1UkQfFBYWTKvY5gL0WwMeXpfKxmBXCOMjH5YmoOBOiEmyWgHYMTjYKuOqDV+/ZltaqCu4KyLP96r2sNDRnb5W91jpGqZjPfb3FoYU6+KU88SrW5dgFy+pxEasWOFuNa8ppA6a6u1leRhtpdq+LePMtAx56tgHGI0mdFvfSLLubjkulkjmrUVIGcmvHZtUUz2X2PIu5jMzv7tin2YohRcbqJl9hbUFMZcKn+pws+SMqMrUqU5677W2s9mmVVHHXqRDQqkvmkuNs3/SCN9T9wabZ9ui4Xlh2nfBHT0kefcawc0OMkpQgx334v5HmLj54BeBjX2i1u1Bl88kALQe0WAPYBZsrUWnCrYA7m09YbtvBamDrckBQMeJNmwzkiZMnKqbeiPj6AcWnvtpkOPKhodFS4IlxaTL5+avfeU2AM6G/JyzDqi8eJ5qplubtrxzxhfsGPHjAxzY9hmmALyguNFX8/VIHj4dzDuTVnIULPrMLTDk2T6XT46bC2nlQb7LgUhpR0d+iEuiOx1BFsF2JC3JsrQb6NyYE93mro7Xdv/O1oT4Nl26X7NmqmGpAXQl0XVt8aVjXhG2zCmtcC38FrwghVl1ZVYxPfq61AspxgItxtqs4JtXnhRQRJailquzeoERWm1KCuwR5XjZr0bocoayzTZi0Gge6V7C1uyvlAkzfj4ijlC/c3+DZkw3wPIRUGaiyuSGV4FLI8ZM66RoVjFQst+UQ03LMXT4GTxaeeJpqokhz5Y6EN76kzxPH64SJTyo9hkbhp0x8ltwLZ4LB3aOd+Cyo/GIzGCVQOTtKgVWlyWAqpQhSgjSVWYamXDXkJMAn4xImgP+3yHRO4k/KfG4OnJtvs2Hex29ZwpFAL53+NKNAkfZ7tFoeSysOHOWs6Odm6G/I3vmyM/HeWsw9DuqcsasBZrkDQSlNKlZhwdg5wMvJqYVEyZjbMbYtmFoXj+VzLwsutYoJ/IinTwi+eF+DwdCHpocUeeUgFXtwjSxm5XtWqSCvRXHoyioLq25KNeFTKcCKYo9WK+KNt4Z8+u4RTxwNQPuMjMTPtLgyboPdqjQQKYU8cBvEFyZcAWxr3cpXSBfp2DxfVfIgP3fUpCkTbcJU3ZTsnJuS2SdzHKsAPgH6b8Tmq8k0z6a6877csfz3Tz3IMHkWJVL0heVnaTcsh85IHj8WsK7u0aq7oKVaR1EGSxlwJ/7iqg9K5d9TBpHfkMVlBexVzV2A3OntajZTqazCMKsodO1c2XNdnQ8+Ae7s7uVTaLMCf60Sd9cxnheT2JTP3lvnnqfrUNMgXUOzVynhHSuNrd6rL9ZiobG8Ql7OStGMnNp8rkkJ9HDk8YprBrz5pQOeOVEjSTysUAyFxkspPpNISxYvP8LaTF4dYq9UztyOzd1rgTSi0OGF358zer7aZgxeDO2cAPdYwFmwty1VQgU3a+IrC5arEhdyy9LSaiRs3bDI2V6HY8drNGsG/Rt/sQ6pBIN+QhpHqGaph8oJo6vHda31vOoWVE9wlamhnLYqiiVdTByQCWCPSZVqmr5yVxPgVpW7LjdBzQHtVUCdOyfOMXGPSsX4XszjxyUfv7MF+CA9hFBFF5HKNlKtZl2rjlB+dkRBCBUbrJIkK5m7osGtcDtiqGz0Q7FPvMZazbtfPeRL9494+IibJBAbxSAVWcFXdu7S3I6r1IGUlxfOobCOxStAz3+qMtAbme3nkwfFufaWGZsL91icQ1MZ2CkrF/8YuG1xjCaTYqLyYVfr85Io88aSXJunKXja5ztfbUhsjMCi1/seQgimmxbjQ83P0t2Sgi3HgsLsr1Uj3smrrgrm8t9kAWsRgK2xk4DIWFoId2BymZQzRx7IVUGetaaVm025nR3KAfgluMdYu/KYN9bmUkWpBM9LiNOEux6s89ThOngeSBdc+sJWJsdWAyuxKrCalCc5eGzlSdEAMVktV9nqxKjMUUk1YeRx9Z4Rr7jZsfgwdSweCp+RAZ2KMvBLc7swSw+mlYusks+YtC6VBKss0gqUxWU/rUBkpazSilKqVILKkr2z82qqF35lrvsaeZAxHS4q9DCBs/zisWk52xJgGCrOzrdoNz08X2ONRe/aJJFCMgoV3Z4s/NvyQ09IiwK4+ZVVYakx/VQ188XYFyvsqwnHZHyPmIn6E0Gx906xe3HefDvW8FBuXaLUBLgrQ/EL90SlKF0BeCZRfB1z6Jzgw19oEcYeNLxMnlC0pqnqLsHFhVsunWN6ZZU+GQd6VaZUNwcwdi0trmkGku9744DP3tPkwBl38aVGMUiVqzJMs+QPwsmANN+3bHwlyYvkqgB3VrC74GSm0aWxWOnOkZXCAdxUYqWcyU01llpjZasCWlSwkmNpjZhtjERF5gGJ8u8Wm3olit5AstyrI5WPtQb1Fx/5rY2z0/5/OnPmzBXW2kzfZvZbxZ5z+rfiS4tsjK8ofy8PDov/hqxkGMfkRvVn+Tjg7DEbD1wAd+Kej0yoetzFoy51t3NQxsFd3aunLKbKdn/QcdHM4OmIVEb88Wca/NkXpyEIQNVQStNQlrqy2TgKigZnr9IaV2ZSq4koSTkZlrEAtYwlStsxv2iFJGv8LXshlbQIa9i+KeLMguSRp3wS4SYPGKEQwpXSrhX3jJsEotqHUL62FVGTgb28GCidH5jQ8Nn87/y9te7Vf1NxkwyVPEBlluF4jFJJjBX3spY+TgSDULKwAnObr9u0bfeLv6wPHjozvbwyeJMkwfcUkLpAZ/JKG8uKVdyBCQmypgVUeV4mAKruyUQNSpW1x+rA7Zj2lgUYSkmiKtpbFTs9VDaiUnZCkuSVgjl7x3g65uBZyUe/0sDNX3HsXXTu539fMDZeWFa+dzXQFNUXBYAmwJGXI9syk1hsFJBnNa3EpIpUZVo81XznawZ88q4G+057ICOskIxSD50HX/mxTnOhmid+cqhWpJO1GWic7ZZ/tjy5Jy1I62RLrrtlRorWZP64yQLUsdV5nM1XS5OJ96rKQFQxVq1tmYh3MiaPY0G3FzEc9t+0vHh2WjeDAX1vhMXNyQDGMonjS4oYA/Pkh2IV6MXYBx7X25NJnXH9NlYDniUTqvvIlBq83Cow31lNTYDbTWQ12aOzA5UyqNzvVglKJqhMnqQq4TP3Ntl3qNTeUkjnfRcdNKx5AledgJIbxzR4+Xy8AXnME69MpNJGuNoUWabwo1hz5aUhb31pnyMfDYhSBUKTCs1QCHSa2Xe5hMylQNUmxJYhsM11uUDZrBYEJ02stZkWz+7Clil+AUY64JtcplR88CrYqytKGY9VTAnGf2dcqohMopSysPrfALfyQcLSyojEDtGpHnCuP+DBgyN2zQV4Xi4vShBOWn1/MwYXqz5Y9aRPJgLWbm4YZ+38dc7aOdhz5i6ArqpMXupulQeR+RYn0qBlOTRfqRTPizl6TvHfbmszkh75BK2yaz5bQao10FU9OSYan/tW7EdUpMkteQtbmbKvanAxVp+SGk2SegRpwo+/o89f3dXgyFkNKgajiYXHUAhUWgZlshpsToA89+YtoPMLLntPWpeet9iMtXNP3Iyxuc3+jpECYcvVY7WZQAWoq7X2amCPg74qtyYxUq8bdlzdpSsHjEwL/fn7Ay5e8DCRJUktnuccDCUnZUSVocWqD7LK7hlj/8pzycSXnmhuyIE/wdp5ImUc3KaUKHKcwfWYv52BeczvrtylY3FPR3Qjwx9+us2Zi9nAI+khhMzkiR3zvYvnk3JuctX6RkAf06R540G1RzNP4Zez14tmCKlIE83W9SE//LYev/Zhn07sAgJrJaFRzjZM889hIRWUCrsEefn/7icquwqz+U3loywdn7yEw4osAZSfu8wytAWDP0fAuZY8EZO4Whv0ovLfllagKYkv8Hyu2StotlP01jZ4I5hvu/kg1eCosOuqemiVW1Jh7urSUgF1ng0d90TXZu4c2CVrl1NaC/bOCu5LQFeYXJuM0U0hTZwcMRWpkjN2UjxqFaODmE98NuD9f9kmNJ6TJ0IV8qRoKp6wxMZ0d7GSVWG9NsRtSaAVq7AK+jxlbzHGlHsgFckftxV4TSf86Lv6HDzh88HPOC0OilRIRsYFnDKlYPCyACs/WWXqvmpXOlCXksXajM1FWSjmSMc6+3As8eNkTP63ckCbnOSY1OPjkrfK2t9IwuSYspmcCmPBwnLA1GKTVtJEN2qSZkMy1VI0asptVSfzWuzVgWVxulb9cbH6j+fPs4rEydqE1YU5dkKi2EqQmW3RXd0yUFVdB1ORKjmYK0wuy+rAQncXj27W4NIy/NVXGiyHObgdwD3ptLcW4/JkbNXJ7bIKngtYV/Bd1dqFVMl+MFbVN7n1opmoE5cSZRTGaJJUM+WnvOO1Az55b4PFngIZg1HEOD0+WV04fsk9N5O7PFCZFMrrU/Jg02YsXgA688mNZYKx3flECMfwZFImX+kqHviaAeZzAF5ktmQqy8kA4UjTHSikL9GNmqJV10y3NEGgS82dM1F2dReEVLy/FsjXWEpYDeqxgKza9lTVVGJcmsgisKw2GIwHlflwmhLc6ViAmQeZ+T43usLeXiPhs1+t8eBTdUxFe7umhlyejNebFK1Z1WV0TI+XP1ubxDP2rNpf1o6V0JoK8Iug00qULX3xJPXQJuHF10S85aYBf/o5H1QEQmKFIDQaJYTbgqTqOVcmHYxp8ooPrvIeCWuzKtMM6LJSKCZFMYGhCnQhnKOSHxuTk1iOMZv/zE5I2govjAFcjL2uqoh8NQhjsCl0BwIVCPRUS2JiycyUQkpZBj6Vk1DNfa15RU0uI88hQwoWl6XdUwSzsgTMZCtUFdili5K9VhadjRiTMnNMpM10dUWS5I6JrEgU6dyTwIs5clLy4c+2ON/z3X7X0g16V4Jyx4aJeGGV7q66Rmuw9+RtLNFTYfZVWy3mvYdjXfdu/xz36LY/2dhM+f639Ln3qYAjFySIGFAYJCMhK5tIZaDKQC3GrsJSJhX/X2Qzs/NQZXPhnudgzmVLvjK7n+Wz33OZUmZXS0mXM3g1EB6P58YvyPHjm+PWYImilOVuivQMulm3pKFltp35iAlFi1p1KR1buCaW4LWi3uJAjjH4xHCfIuCsVL4V9dUV5lY54CdAXszInnyeFto7Z3GdjwNWCUqm6MwW9P2YMDW872Nt7nm07nrbpHbaW0rXtSPK+SvFZ81XlsnVaoLJq+ehemJWZzBL16Lc431ie/RCk7t2M5M7KqkhkRqVaF7xwogfeXeXf/8+nzCRLgNlJEnmqkgjKp/NndGxEQ5WlEMscx0ubUF0eVGWlBnoZdazK0VxAViRB3+5RWgLp4UxLKzB2hn4q8ev9O3FKsKwxWpjSY0lSSyDYUx/kFJrGHSjlmIaKTOthDBRjEJBnJbDYOwYm49fORXVspq5qQAansM9qQ72WYO9K/vPy7XkibRFt7fbNttUJEpl7G+uu7MZ10VwKRM8P+HOhz0+eU+DMPKgrgvtXbB3Edgydl/F3BUUF2CvBOWT9F0tbCpnYVfBDVblVYbjteKpkUjjpEoO9CTR1BsJ73jFkDvuGfKlh5WzDZEgJLHQDHPyyT5lHgAWbC0rpbyVVcZZhDmos88pQWXfL39tM2mSAz0/v1aIjLkz00JCdZpZgaEJLI0x9hqzVBxGbUbOhjCydPqG/iilGRr03NSQmhzSnw1Z7HikqQIsSRaYVGsU1sD4KsniXttx9q5EzVV5kjP2WFCZg11WHItc/xb7qbvXhfYuJqGWwNZqAuiqBLfOwO17MSt9y2fvbXDgXM1JE+FKYkWuvQWVCVJ2FbgLyVJc2ILxJf8b3/IZM7klN5nCLsC9ajhQWaMipUKaFGk0cajZuynmLS/r8+A+n06UpV+N0+MRinwfCEnmja85+MNpbFV1eqSLx1TW0layeS5VsoSPyGrIC6CPd/LkcwercViBn8qKMomvCX6oSDu3ZU6SWEaR4WLHcLEDqg76r+5NaeqQzX4fa932D0K6yDk77u7LToJ8DNgVxf4cwaWgkv0jlyfjyZIywCyBXYI798HL4FIWg9ntGGOPBZR5IqfqokjXKW9I+ZPP1Xn/bS2s0M73HmNvSu09Zg2uBnrB3PlJGmOBtdl7rJKPSf2dM/nqVrZ8y0ZjDCaVGOl8cSUNceohleFH3z7g8FmP939SEyclyA2CUEiUyQdJ5LqhAvIC1LmucItAcZaFLdvGcqALB2SZ/zORSRVbjpggiwFsIVXdwTG2fD02lXaSSScOYP558vEmbntDgfJTbnlBjxdc4aGJapy92OKZCzPs2aaQ0gn8PCot0rfFZbMa4M/toowXp5dW1URQWXkv97hzZi9n4mXe94RjInNwqwl5MrFnvcr2nnEaPMbzYw6fl3zyrib9vgd1tZq9i5rvyuoiygTPmBybeA7fPMlTMngF9MV9vPjImLzeowJ0mQNdYqTT4lJq4jil1Ux4+ysHfOFrdQ6fy5IKbkA1qRAMMy/MWW22crJFBuAc1JlbQpb8KRac3EnJU/eOvd2Md1GRJ+NAt2PBeKUKcyzonMRXtX6mxGRBDtmPlITptubKPXW2z7aQpo1ev76JlkO6Cx6DEBqBmyaaywo79h9dfRv7MM8BashALEvgywrg5UTwlg9zVBUWryZ2pKgOZs+dEzO23YasyBIpM8ckY3KtE8LYcMcDTb7yWN0NB5eeA/gEe+dFXkqI8WCYSr3OJJNPBJjf7FacpCJ1X96NybKHxRQntxWJ092mlClGkgqJSiVGKOJQ89rrI1774iGnPu8RGpnZGtJt74hmJECayrZVQhQGdp76UcVZzh2VrFZcUAAfIUqyt+6cWpEFnmNAz/6WrGKk0iSdX1+TycQJ8I0nyEr8KQW1QBLHHr1RQD300T21ZaVvhl/wfP/bygyiLXSRpfofW33W1ipSXxVkTrJ3AeYyoKzOll7F2gXQy7LRcedkXH+rIv2eVp4nSOk6daSfcPfDPr/+oSlSq0vnRCqEkG4fIFGm5ccZvOr4rM3ef4Mk5tjBXV1GWm2AyLxx8qlXWTGWKB2VQpNL540Lo0kSg++n/NwPdDlwWnP3QxLjiwyy7gvERjGkKqhsRZasockLLzxbbfPPm622uQ4X2QVgKEdJ2Mr5F2kJ7Hz1hlyiQDGJ9pvo7wLs2Xkywu055Pseu7bpL1z7gvaKeu3NO/oqXjzSrIkfCbyEmu9GC5fp8XE2lms9z0tHx/xrso6g8WKYvI6kmnYvfG5VeW+yOrASUBYFVc8B7qpU0WMJHddreXpJ8OsfnuLex5puUx7p2tGQHloK6tINH3WbXNnVtdtj97L7qah9l9VRFq4WXKqJhulVxy3LhhbHcCKrWyWDyhxAMSn1qj+zsG4uIdCWB5/0WRlWTmYWZuZTxMuKQyiSLqvg9TdZlsT4qj8WZ6zeuj3X8mMrWfFYlgyUmd68TKBMiBXJsMxR8fwah4/3vv/Ou04e0JtmU4TIvFWTZpmrSk1yNj6ryjKrvu43YO7iwEMxs66QJmMuSnVbjHFpItfQ3PkOA2veVTWwzEphs+epn/LhT0/xqa82sTUFQjl0Co2Qcqzfsuxv/AYd84VkETwn5Uy8PXkc1wTERLf9ZIePyeYH2oy5rTVljYqQSKNIhUYOU97xqiHPHvV47wc0UZBU7C6BNR4hWVlGnl9PXbbGYktQZiu1JctuZrsg5EaEzWVLVp5rMxcul/a5dShEFtZWpUkW4xbHtCiTWVsXlw6KLYrRCl0eWoyIqA3czhV628YRQgjSNCYMw2wWniRO3cy3MukzPi65GtiO+Zlrgnx8pNi4c2JXPR8De+53iwzgFe09xuAyrTgpVXCnyErtyZceCvjQ55uM0mwKvsitwSxrKeyY9l4zNV8FOqzx3deQKs/BfjZDQO49r8poYleV0FpZyWzKirMilCvMkllxljSkRhN4hh94c5/7n/D50mPOLsy9caTAWE1oXDtaUUQyaR1m0qWQUkKUTlsV5JJs0pTNvO/y+JVAB1F1TqrHqxrDVQV2Bd1FiUBGwomxxAnEaZboidz2j9Za9NYNi1lwkTAapaz06vSGPkSq+I6us8QWeqc4ZVXHJL/ixk56haUZv4qry6rzvSv2YBXcotzZS63S4WbcA59kb5mWAaaOGYTwK380xdEzAVaXuyWPae9cIo0BewLQrAHm4tAUV/34QVoD5JMj8MYzmtXiq6oeX12bYmRWcSirLK4QqUEIjYwMu7fG/Jsf7HD/zwT0RtmXMbL4XCmaUQ6ovLjblCC3EjAZqC2Fw6KygDIHdu6oiKwmpdDmFRIopqZJkDYvFRAli+e4FpngmSRySxaTQJqBO4ws3ZFgoS8QgcD33XHTn3+8TZx4bJha5Ppd55lurSOMNVEkC9Evc99zgoSKD7CKxapD0CdZvBpoVgLMNSWKqfjglb7EjM0L5h5zTSq782aet9YxSQq/+4kWj+2vOc9b5sxdOieeGJclSoyz9ljsMfGdydlHlEM3115cxeq3qmURBairTCUqmrNSXSgcgxdBp5EO5KnEiOyeZlLFGG64IuYnvr3Df/nYNFGasTgUUWGKIjS5Fs+KSiogLySKKC06RJb0MRU2z1vXstcyY36JKIbG5gxtK/hw74nxn02Q+FiCp7LaxQYWRxDKHt/5qpRrL23SH6boq6/7Z8xOtfji1x7nz3//L/jRt2jqgSLNtn+eZOuCh8am91c+JGUypMrUrthmspajtAOFGJclJeDH92cs2TstdXk1qTN2zwLLWsqXHwj44CdadIae8wAzz5usSdc5J2XWslowVNXhpdW5xgzCsbBMFK/HIL0Ga6/C+xjQS5CPs3Y2FTaXJNUkkHA2YioV0hpXr5Io2jXDD71rwCPPBNzxdQWNhKJwBEAKEiMZkccUJcgtrjSWwrZ0nndWYeBYOpcwxv0nlSgXAllhdIFY1RQx5rQVKqnst1xlu9ry/XyXvcu3JXzX63q88XVvpDV3I0ncRW+a9mm3PS7d4POkP8uhU3V2bHTbw9kxyl4D0DnQRRaFj41QyL9MuQPAZKRfDE2X5WZGsiJJSplS7rDrAJ6O+93SWYGy2FfdBZZSJkidsP+45r99vM3hRT/beMixtnuUJXtXGp7HQL6WPBmTJhN186vVyDg7VBI7Y6xU0d0lU4kxzblm0FktxLKm2F5P5FJFWITUyNiyZzbhx7+jx/HzmkNnBLY6wgwB0iPNQM4EyMmSQKpgvMzvJgNzvsrn1l8FuLkDaQsyE/miV0qXKtBzP7242FYfW4c7gVCW6aZg+8YaK8ubOTs/x45Wi3CEK5dt1CVbN2qu36uZaQmS1PVM5gd4lQypAHvS454EdqmzqYB5fLuLKmOLnJXH3q/obmWy15PJnBLoSqVImeAHCec7gl/5QJtP3tnAeqpMx2fSZC32Luu+V6fkx49BeRLHVjoxAfIJGh9j7Qmw5++trkmp6vAc0NUANO/8cQwuRf48Cz5TQ4LBk85V6YSSn/1NxYUVAYEo9YQVWHTB5KU8yS60/FE6P15l8qRk8sxBKWRJ+TUFFKOOCzb/RkDPr6li/JwYO7b5YXV/D5a7lkf2wSVXCdZtFvR6ElnzJUEQnJ9p8cXrr2qyY+OQemCKbm5jygTPmCsiq8NvKrXbFW1d9bGL/c3HZIYZS73nzkjpidvidwpwy9Wed9USlNKB29MJEYbP3Ffnyw81slqT3BKUGYPn7F3uGlydN7hmMVVFf5dVeRNavErYY+JxjWW2IkvGZ4dkcz+qLlaFufNOn1yPu13H5NhELJf1VNl77nmSaISVvP6mEW99yQBfJJAkYCp3m2CtIbEwMhAaQWQgNoLEQlIM6Yck22MzGduGENLUDafPX5uJe/m7NtvOkPG7Gfe9y7LY8rhVcy2jEI6dS+lFbQYj+0Xf988bK5Cbt15KvHTb8Uu2XPivM+sUR84t0B9Z4lgSJ+WUpXKJsBPJCFsJGCtJHDVp6eV2n2GsG2cVcG1Fc1e97fJ1KUVMxtZp9jrNspUJiTB8+q467/2jNqcXPPCVY+5KYCkycBdZy4mKxmqAXIwmw7EOE8CuOiiTxUJjC6xdE+MTb1bmXyNWSZIC8PkELCMrjRESa8oaFZfid50/JnUtbnGo2D5n+Nkf7PK2Vw3wRAlsTJw9T7EmA7mFyDqQJxmYEyNIbAngdOx55Z7vZzkB7HwaVXkB2HJfKDOewKnutF097m5HD7fZb7Nu2LZ5gc07Wjx9fPBff+ePbz9+1ZWXuT167nw0pd1M+PL9cO+DmpdeI9kyJwkCQ+DZcqkomKsiMeSEFMkCyEkZIib+jZwMLMXEHujFnuimwuw5wMfBnQeUuSXoeSnHFiQfvK3JgSMBtFQBapfYcdo7lyZFn2XOCtXqxrGVq3KXOZAns38TzD32unRR1kr2ONY2Ewmf0kWRObtPpO+lcCCXwhbeuMiZPasnEMK4qVfWkhpNHFqu2BPzA+/o8dBTPsfnK0tVEXQ6GZIgGAkXXJKNcLPGlsFlRZcXNSrjqierAc9MiEyq5CtgvoIVsVohTbLMLuWGiDZz9CSOkDwtCDzF1g2SF16Z4rcHjGwfkQksDdCavolGs8HcTJ2pYIHhCIYReJ7785PSZAyohSNStdRyPV0JJMU4qEWF+fPnVRtQVGRMkeTJdLbMQC5lpZhK5JZgwlJP8Nt/1uaux2pllWCesczArSTZDsXVMchlNZuqgHktW3At4E9a4H/TW7V4aJUFVgG5cygcoEw2G9CKCvgrmU4prGswMO74G6HcayERKIwwpAPDq64P+efv6fIf/mia5WHppjgjXmQg1yQyk0vZI1k20wr3+7lNqGT5GSt7XhWfvaq/bUUC5gSaAz9XCzKfmJWBPLcP85uSrsDK9zRhuJmrrrmGzTteQBwN82sU9u7ezMtffMUdnln+9St2tWk1JJ7Oq/rWqoewFcdjojhqLT09Ub89JllkWWMiVdUtydrMJqoDZcHgObjLbKVSCSNhed9tTT7wiRa92HOFVDlzZ66Jm91XOidjRVU5cHM2r/rgVaZeE8x2TL78TZA+2V1fADn/WdVtqdiFpWSpWoiTk2mdVLGV3SKMUVlHkNPjLQ0/8q4eP/qOHnWTgEkzqZKCjUtNbiyJhdBAZCAyItPkgjiXKLaixa1YW5ubUraYCbmyWp9DakvZkmtzm2l2m0maJDF0+pbTC9PsPzL89cb0NXd49W3uAgD47d/6DWZn2rEUyWU13/zjuh/TrEPgW3yvMhZtDMgUertwHNbofJ98r9pXKSuaW0lTGQkxPmyy6p4UrK3KlHyuu/EMTx32+Y8fmuLkxaBMxWeFVM5BUUghqOUMnhVV6byoSpV2YdmHWS2KmiiWKoqnJmaYi3zyqhssWm6iVZmaW8yCGd/honxeThirulGlHz9evlstvBovW7bkTcZjFZ7ZVVPzDRtmUu592uPCvMysvgk7KHttRKVDsuoZl5f4xCVcYQJbvpUXU1VZwI7/i/H/0hqMUp2Vm6YWqWsMQ/7s/vvvve+Vr3oTUNmr/q1veROeX2PfU/dx4ugjNOp6vPexwt6FVCmSNZM1JaaS1Bn3uquvq7pbVOSJrPjeZaCZInJ7cI1UvPZSnjzq8RO/NsNThwKsJ0tZUjC4rNiCthjkM7lTw1rW4FoyZSyxI6p+reBvJVfs+NNxX3zSLnSVdC5T6Jha2lKyGOEuJGOls96sxViZ/Y6bkCWM88ZTrLN7I8t1l8b83s+u8CP/UfDU4Sw4kfmHEeVyYjRJkb0EP7MNyRI9ef24NbZYFW1FwuSJoKIdkly6lLIlly75Yy6HRAXk+XFIjSVOLb1+wtXXXMdrX/NyhsNRcTwLgK9fN4Xn19m0XjFaDlEqL3kXRWyUg7PapLC6SKqqzyuaXNoJcOegr3re+fPKYyUVXzJ4WtiBDtyGnpX8/m1NHt8XkKpcjlTS8dJNBSlswTFQjzsnRYJC2gmdPTEWYgzsJdF8g/KTcVxPALuKcFvt0xx7v2IhTtaMWze325h8xrubTGtyPY7FCJnlKCRCKISxpBi0sNxwZcj/9vY+P/dfPHqJAA+KailDKY5xme4ob2MzDty6or1VpQrRmjIYtWuAOA9CbVazlN9y3e3Ed574EcVMQ9L82FjCMCVKfaamZpFqsBrgvq9QXnB40wZ5RIZmT7c3IIx84kQWyQR3YNaqH6lmKO0Y0487JeMAL3+/ZGxRALxiCY4BPUWKLKgUKdpLGRj44CebfPzLTcIczBPMjZDI3BasePir9tmpsvckY1dW7PFkzrg9OI7sb8zhazspGTBgTIcbKEYZj3vjJeAduGXB6sIKRFajIqx0VXzWuufGOpBbS5pafGH5jtcO2HdC88HbWvRj3AGrBJVFjyZus9o8O+nn4BYOgDY7tq5sNmdzUZTUFjUrlVXLjbSYuAgqgaoE95mz1/mYk35oQbWIaBwJguDwYBSPXSQANKe2c/TQF764Mqp9RPotmrU+tSDB02YsoJSTelpNBpVlmn1y8lQ1yVMy8vhdTQSWcsIelKLC3jqhF8EHPtXkP36gzcVFr6jtrtaauLuosLddla2cHMdbdVQkE2Cvvp5g7bGfiW8M7vzMVQutivfGXoqM0ccDzDF/PE/8UPl5PvYtDzgr3fh5sFkGn5okVWyaM/zCD3b4Z2/v0QoSt/GNTQpvvAhCbQrWYKwLOsM88LSUPnm2JWUegJb+uCh882SNANRN73K/Ww4fHb+nBpIURrFgsW/YunOOS3cHH/n8V7/yxct2b13N4ACPHZoiMo3PXTEbvG2uoa5PTMow1FmZbJ6uX51eH5cc48mf0hNf62elFBGT0kTkVuBqcOf9lbJm+dTnGvzqH7Y5v5Qlc1ax93jG0hN511DpnIx53jmgJ5m74nOPxV8VnhaTb/4tb9WMZgn+IiJ7jtS9cxPcVCnhttEWJbCFLT1xIXLWzpiwkCuOxTGaOLJsnkn5hR/qstiVfOSzLajlDC5KJs8PFGCRxDmrGoHJ0vQGgTLPxeZk4yQoZE2hyStsTqb1Vfbzybh2GENMjemmevxNL/Y+d2ExHTumVcnD97zzzVw596f3CrHw8MGzQ/qjhFGoiRJ39ZMtGWLC3htrG1MT7FutGxlj5nQ1cwszFjyWvvc4uKVMUYHh8GnNn362ybl5vwS3mLhLicg0t5cdWJ0lJiY7daqN0AWYGZclZaGPKDV4FeXVx28C5m/484r3vWorDyrPc01uKqPe1hj35tL21XT+OIunRjm9bhRJJNm8LuU9/2jAnu0RRGnG2Hk6f4LVrWsuiLOsZ2gEoXH24Ribj9mHLu1f2IapIE3dgjGZHZ1M3UsBnhLUfEEjiLjm0mX6/cWHv/9f337vnsu/bew46skDe/uT1yGk4OCzB9i7ybJjo0+znhD4Bo1jWiXGW8iqjkjholSD0moCp1gBTCXpM8nc4wGlKJ5niunErwAAMOlJREFUrWe+4chZzb/9vWnufKTmGijHvO5xaaIFxRgILVdr7bWG+Yz9TnVw0aRMIR/0IypMvpbj4h7Xcknyq6K6F041NT3mjxc1GSKTxM4dEVmAuVZRlsBJAmFkliSS2VRWgzCyiK1Sq8C4BIsZWV7zohG//BMdfvH3pjh6zndBZ/6pVulyBSgnWYQj+7yE1uRsjlttVC7rjWN0VfznRLEtSs7YNq+XlVRa2QS+B41AcvXugJff5LF1x0astXziD8bxvArg73jD29BaR5/o/xX95eOMIkEtKIMoWQH3GMArUmTcbakC2Y6BfC1gi+xRCYOYALeUKcozHL+o+Xe/P8XH72gQiWw3qoKxq4GlS+lqUa3zXmP7bWFXSRLWAGcB4KpTMqG9n/NW/eFa9SjZqr9Ki2cletWNn8Z3RxbZ79ksg5hnNstGCGmcNjfCSRiR24sF4G02G4VCsiQGajrh3a8bkBr4xd+d4sTFIAN59oUKkOcHwIJQGAQxFKUEnswSM8J1vpvKecjdlaqjYjObMR8Tl5voedsb2Uoc+IKa5+H5l3Ltdf84MiYFfuYbA/yKXevw6q2feclNe67a9/TFV3mqP1YcpbNh8mUwuAZwKzXdQoy7Kat+R5gS6MXzNHucYG5tODGv+bnfmeITX2oQyWzrNbH2vcxYjlcJFjUnk9KEiWCTNcAuSr970lUZuxL+lrcJXI/Vha9O22dQtLaQMKLqqGTsXujvig6XQlZWAJn/Y8eOBoRQRUNxklg8nfLdbxyiFfz870xzYt4vJwCtuljzH7ihcEn249S482Cw6OzzqgzoKqsNL0aGFOcj+3nlQhYZyI2xpFYQRimDuIH1dn610d7xMyudcNVxXQVwv9Hm0Ye+3J2Zqh+YbauXY4zyPYNf2XYvH4s2GUw64I4ztvtQ5XORyxlReV6wvMm0tmNvJcpiKqFSzi4pfuF3p/6f9r482q6iTverqj2d6Z475t6bm+RmHkgCCRCEhFEIg+BE4+xqexC7H9iNOKDI06Z9z26ll6igbduvabV9to8GlBaFxqDSQAgEJIiEQCBkTkhucm/udIY9VL0/qmrv2vucmwESgnbXWmedc/beZ9rnq9/+ft9vKPzogTx8lgF3A/+WJ82m0npbhtVoaDyk1RKDvgAGyDO3Zg6m/rfN3ulHgu6sg5nVxZONBBxm7om8pAuR5GqkwK6suklZZC2m/q40bopJqMzok7kqMkgUhgIWOK44v4owIvj0rWW8MmRLa4GwQTpMf2mKSEigcmW9IwVqS00H3cNQA9207rrXCRdycgBJazfdosQPSESZu/He+x4YvfQtKw8NcD3CYOyq9jZnWb3Cl+TcCK4TwbEj2FYUp64207yz1pqoAEMzukKQvA+JHdKElugkKso4Qpvgn+4p4s6fK8tNs5xb39ME3KQxYtncqdTWOHEum7WHMPXvZvw6jmQScqT4TkczG4I6IqWeJPsSmVDTm1S0U+9TNygeTgBFTRSvVQlZWieP1EwhYDIDMJIgf9eFFWzcYuHL3ykhBOSiPRDxVUASe24YGQBEttwPAERySsCCmpja8AggMhQWCplgJf8HpXoJkrTK0KEuQkBY/rcHhkevai2Xmp7bpgBfeuqb8dsn/i1yJ08XAzt2I+f6EuCqz58GqlnFk+Q+NAM5b7otoSUChMhAjgluqsANi2DVox5uX5VHnTIl5Zhc27iHDMcz2oSaEHnxTAoaknK71Ho7WXpiWGqTa5uA1gc0pMkeDriNAzOJhY2FEDHokXDv1HFEWmGiqYlOqTWbehq0RRAQVQ0kf5uMdXDO1IRnMpqIEC7heM/KCp583sLP1+RVJuGhfh2DFmC5IHEJaARJU0ICWBAxLWHqdFKRtFqmXL6DxRLdnHMBy6KYPXuGGBoNog+8b2XTbzChBe+fvQJRVL0dtWfnMjFUsNUyfKZlzv6YJMlHP5YgxgTgJqZjSSTIqaF5M4uDWMBPH/Fw3a0t2LDZlRlSdAJJ0KAmDmmkJml1JFOOhkziUozZ9FJ4+oAUN88A+XDVwlTLvab0hMQbk9B8k/wUXcEu0pZ+YkBDRjeVFeRcUpVYYRFCZSCyOGoo14YHFs0McPPHRvApBtz7SF6JJ81+qY49Kk9R/TcCVAZxtGFRfNwSiQHSVjw+gTpVJFI+FQVsytEzuXP8zeecfnux4E14jicEeEtbnxje9f1bps3ou6q6/zcFgKVALRcBTbfi0kn9aaBnbybfFrHFjrcbtIRYwE8ezuGz32zBhi0GuImUpLLBHKgEeZvIHxavzKAAypAF9UHoRjNVBchY8PQgmQcH1brFBDNApF9ohuuT50afGpiWXqfaakUFKSsuu0aZDigFV4u2SiXFrKCUnDwSAkwIRFw5kD6woD/Alz86AkqAnz6UV1wim3RA5X+kmxXqbbqyQVl0TmTEMlRUhYAkKS9Q2jcQS6hU4cuJOGbMnbP/7gefveXzV799wlM9IcABIF9eAhHthxfdC4vuBwEBjxhqvg0/sON1G3X1PdHZaUgADpLl5rzRiitJkKrHkpYAP3lEgnv9Jgdwm0co48dIB3SsJpw7WWVCZDj2QcBuYjZjuZskDxpoP3wenu3cG1vreH/Cw+Nm+fFxpjVPNHG5EnHWmussQ56OcqrEEKJmChFUvY9QOrvi2fob+QKLZgT4m6tHIATws9iSIwE01Y2jDIdC5QRJoKuTKGQ+SyQIInX+0ykLQgaTwhDw1QpTnKPYWcbpJ89BT1frQc/tQQFu5WfUt24e/fN7frHojqeeXVeIOMPMbh8fXFnH5I4INd+RCTdG7bQEgmG9DbqSteQS7GmAEyIAi+DeRz1cf2sLntuiopT65KQAbjiWNHEsU+COrXZSkmYWNDRYbaTvTV6dttzpwgc9A9JPDw1xres20BMYqor+02PpUKSsuFm/mQSQiAF604obYDesuqmwECJFa6JkRAKVCsD1b6cgfoTFMwJ8+S9GwAVw36M5xFo4kGjj4AlFgZBxd21pkhZY8cnOtiqBiAC/jv6uMfzhhUOY0R3A9zlaJ502Pm0S//POSf31g5zegwP86eeHeEfr/Cf6+r2R6785UqiFHFRUUczvxF9eXgcNLfWFkvg/0Zw7S0+Q3Z5o4ETLgwzglOA/HvPwqa+3YMNmHYLPgptmbhLcukonqY5vppykrXc20BNXypOEfydgb1w0KQE1SVv1ZHfDtgwLMXaQ2JvMptKmnU4D3MZkkECWmrau4yQG0FMauepxqNNpiUrIIlRAcBpnL4LK7EMVTIwtO+cA/AgLpwf4u78cgRAEq9Z4iCjNOJ7E+PZx2poCvXmvT2rGa+URwH2888wD+NR76wgDD4RSFKa8dcTKzXiCR1v5wTB8UB+4v28ypva07eMcV/zx204NprdQ9LTm4DhyLR8uiBZepcxHjSJg3fjSzACMMwGjtFJCeAzuXz7p4uM3t2DDVhPcCQ2RgLYyzw1qAjR1KLPUo5kl1/8HSYE8/ToTrNnjzL/0SIfI3OLtxsaUHG7s11mEsZVPWXGdz2I074yb6Sclb7oyX8RLhutjVc4KT+honI3IGbhPcEJ/gK9eO4xzl9XAshmHnKt8FXObmcsSyEp+YeS4CJ78aEIBaqHqO9g90InNOydhjF8S+HV6BaGd+5g99aDn9aAWvL2F4YWNW7B8ybSdbW715WBw07zejgGcf5KHsaoFzkVSSkZEHIFM1lnRakv63uThhHAQSsAZwarHXXzsK2Vs3OrI5e9olpJoUCeJVDpsa0Fab52p1tC8B02sNwzrjSxlaWy71hTQJvAn8D4PqaZMBHgpXyBuY9xEJZEgN7qtKkdNS9OxFSfGY2SUFU5BKDdoilJVlPOp6YpQ1UEAlHmXX5QKjrnTAnzjk8O45uYyfvG4K6/pVP8S0ngv1IkTJg/UHW8ZIFQ0msn/+4EnGdpsCwtnd6Jl6rKXrdycnQf2b0NbZ/9Bz+1BLTgAWBbF5hef3Fou4srLL5mPxTMt+H4bRsbzCCMrtuLUsNoytB7E7dMYDaXspxUSwkFIJMFlE3CL4BdPeBLc2x0Ihxq0pAnISeIxJrxbZwo2ZgketOysibNpytsNzmb2mAwszTC+3D8xvJtGK2FYbaQpiP4EDRIBZSCNY9KLyKLJY2WZgdhia2Cnk7Rkc3yh+6xk88gFi0UGLgjgA3OnBvjax4dx3rIaaMRlR0yVbSiphrbQoWHBtRU3rDlXQX5CYFOCSTmKHPXw5AZgNJqNVwbCK+9/YO1WafAOgd9DHTBr5jQEfgWWndu9dRN/+Pn6k2dVahV4rgObyaX4GI1gsQCOEyhOLeLfZI7EiktkUAfYtt/CmnUObvx2CRu3KnDHHS6zj9MgJ9CWu7lqkgZ6ujo+tt6YQD3J0BYY0cxmTTXj54Z1PxKqEmNaJG+UilqSBPgpmZAYICbKmuv1NaEbA6m8axhcnJOUhYaOdnIijYuQmYZcnyz1XaSzingVY3k1kCF+GgrM7w9wyydG8FffFnj8aRfb9luAzZMzJKCUFOOHR1C9WNRnO5KaENjwqEDREvBYgNbWHGbOmvnwmWeu2D02XkWpmH/tAAcA28nj4TWrX7Kd/C0jfPFZowOPorUoJD2gEQqFOgT1MTAE1CN5wtuLHC0lIekVT1s9AKAuwcYdFm66rYh7HvEwcIBB2GQCMBuOJU14ty5iiEvP0DxbMFZPYDqWGaUkA/QGa98sz8QM+piQFumnBwN7rJIowywyb9Esy0O/zlRKYgeU6ImiJgExHE6STA69ckfshOqcFcjVImKVhRHD0ms9OpEWAQBcz4kI8AXm9Qe49bph3POoh5v+qYQXd1gy8qZyaaRkCCWAAy0tHG0FOWHrEcW+QQcRIUDBBmCDEoH2Uoj3XLYAi+flbnnphUdemjP/rMMyHIcFcADonjQLllN6wkF0d3Vw/zu4eAZ5z0feq+CXTwlsGfBw/+ocKqMy7DtneoC3nF3H2afUUXA5uJ+giDrASzstfOFbJdy1KodaROUJoCo4oIMEWYpCtReOWDXR0cpUi2NkgG2qJBNsSysgCf9IgN9IrJOXHMrLPAxbbgR+GkDdEJlMTwSh1DehStV1Lgoxrb8O/MAAtUgCQQIZLs4JiGqsL9GbKC3qqbxKUzn5dactKiKQUKC7PcIH31KFawN//c0iNu20AMc4Fz5QcDjOOsPHW86pYk5/CB4BY2MUq1Z72Lw3hwefIaiREnybY86suZg548S7J09Z+IRfGTlc2B4+wOfO6sHYgR1bp/Usu2b7hjXM5fytY9Ux3L3awtd+2Iq9ww72jliSd/EIDz4d4D/W+njT4jo++f5xnDg3BCJZ4L5ph4Ubv1XEXQ94qIFIcOsAgCn/wbgZ+4my1mauSbwqsno8oTWmSNMQ814B2bTwekdWTWnGwwk5LCg3BXV6MiQSoGgC/FS+ioCyvHJLIidmgkDQkyCx3hq08gqQ1HJCyAVVpaOqLbqMesrCA+WkQhU3S76imIwAeAReB1xL4IoLaoAAbvxWES/vtACLg0bA4nkhPvH+cZyx2MfU3gCuRQBuIQqAc06qYO9IFTf/a4B710aI6CQQt/Wek0857ZqXXt61bc6sKYd9ig/N0o3xN1+6GTd8evlwa2ff4pd3vnzWZ74xju/c34ttg60YiwqAo8Lptrz6DB4gWL/Rwm83W1g6L8Tkbo4texg+/40S7lzloQ5V3p6y1Oa90XLNyFBjak6YXWHjVdxIUmtprkyWPE/aQyTNfGA04tErnRmsiACE6h7gpKEJPo0b9xB1nHEsIcakSfY17buSuaI0bIsz7MjEVCqehNL5T6UbpI4Tqe2mU5F1uJsloKWPE8Z9eho6DJg/K0JXB8dT6y0Mj1AsmR/glk+N4tKza+goRkDIUK+5qFY91Oo52JaHtryFM0/0MX/qAQhrOs496/x/f+q5rXedv3zhkUD28C24Hk6hF0Dvl3+14bSZz+4pvacWVNBVlimY1QgYCxgiIQAWAYjAI4416xx87OYSvnbtKG7+v3ncscqFD2WGY3G/yU2b3NiCq6wyIE6B1Q6kbrs2cZ1lQl2aAiJjzRsoSGZbNinLHK+m5iGld8cWWxNzw8kkhmXXPJzowgdi0BJjuW3Dimv50EyrJeZxZvJVTFd0vZji3RwyIBRr8FS9j7yXRFK+IY8Ahwm850JpyW/+QR5fvXYUK5b4ICEQhQRRxBBFNup+DtW6hyC0QCDguT7efLIXnrH8rLA86eSa4MERn9cjBjghJ+L6W+4b7uha+Ccz2rf3laLqmTaRcslwnSKMKMY5UzqpnMU5W2Dh9BBjFYINWy25PoytgWM6lqaDmeHhKlKYrdBJV+lkqYloYiVFA9hN1DZYL6BhW4z2g52nIz6xGcAbwI8dRyR8HCR9jJwV2dTZTASUmPsM55IhdiCFjnAadIVAHUcphIgkXxcJ2EERr1sFrawQoiKgUtVxbGB+f4hCTuC5LRZOPTFAXll7+b9QBKGDkbECxqsuhBBwHIFya9uaWQumv8MXpE4kiT+icUgdvNn427+8BKdOtSufvepS/8SZLeht45jSQdDXJtCZ89HlVVBgPhBwFCjHh95exRevGsNZJ/u48cpxtJa5iu7ra6S2kNp6m7QlIc2UZDi3ab3NG9AoC2b4c6qAwdxuAK7BQpuhevOYCQB7OCCPpcEmckk6nTbdp93k2fFE0GCPzbyWCrMat6GVQ1fgq2gnMscYS4iLpveNN2j9XH1TyoChYYq//sciHn3KwQ1/X8R3785hnBMwR8DnIcZ8H2NVgl37Cti+p4Ade/LYPzoZ5d73Bfv21gddm4w79pFfGo/YguuxdPFMcM7XDqw89YzVq1fnLMpRLkV4Z/s+lFv3YP0WgtWPOzh1UYDPXTmK9hIHOLB0gY+Vy3zcsSqfFLCmclIzFl1BiEAymmb9BGNrjUyIPgvsJiH7Zrp3Q054Uwuepi8Tra52MLqS9TFN6pFyLI0gYMo6E8MaZ7MHYUiI5rFZK64cz1RylpogMgKqFpkVSVKWWQKXLYdj6jnRJ0sIgAE/f8LB08/bEJRgaITh8/9Qgs+BUxcGWP2Yg2c351HIF9CRd1HK2SgVbPTNOq1aaJ29lpBXZYdfG8DL5RZUq5UbVp5/thgZ2nVtZXiTN7c/wtK5Abqn1PHAE0BnkeO9F1XRUYzAA/ln97VHeOcFNTy4zsPAAZW8HYdemigoClk6SpkGdjpDsGlCVQPIkaYe8X16IanEOivQGqBLAf2wjUr6wDgt2gB3CujGE5N/JwfJjankOwWoRFlJgAvDwqe4OLRODpVERRIZMDVZiOqNQ2QonxraOEQK5IQkVwhmA3sGKH70gIed+62409LgKMNXvlfE+y6q4qn1Dn65thPtXS04eXqEaV0hzlg2ozZ/0Yqvgdj/M5fPvWqAv/qpASCXy/Mnnnj8xv6pnTctWdji9/cMwvPG8fCTDj7/zXb86Fd5VAOZnRaFFngoUzEXzfExf0oIBFmeYIDdeJ51LHVQp6F5ZjPHMWu9mwA+dY/E+se4zNCYRjPd7PnhX05jK910R/qpPjaZBDphyuTcmc5XwiwcaMLRTYqBBJw8bhqE9D5kQvvQyV6SlyfJXwSwgOd3MKzf6ABcLQLGbIDYKFgUl59XwxeuHsHppw5jNAiwca8Atyf5+WLHTU8+8diN+XzuoNmChxqv2oLrsaB/0I/Q86UCc/0DgyNf+PqPOL17zWSs21DAGQsHgdCB71NEEZH5KdyPk8xSAnLW2UQj9046UpmgFqngTVN6knUWm9xSYIb+OiQNatNdQPK6rBGdsFpnInSTJq+LncsmTiWSle90UDBNU+SXMyOZSTAouSKYNQyyQFkmfUtZW3VxhWovIXhCUYzlxIlopCtZz4RSAsqIKjVUvdoFgWACYeDgtAUMX/kfFdy1ehvuW9vLkev4AnO6bl734n7/teLzNVlwAJg2/wOwnS3V1q6pd69/5Uzxdz/sxLZd7ZjR7cHzihgd6cDYeAtqvocwciA4SxNLYjiVKQdTWW+SlQSzGYKJGmJSFaS2NeHeJjIJabDgprMJSD6azINGD9KkG6ThwWsYRtKVBLJpiUlsyc2iB01BUsdkE6+yll9PAGE4nDoxy6AfnNMmjisFDGsep96CJrMSRKpj1AGx8rC8EpxcC8bG2rF5Wx+mdLTiuneN44tXzxWnLJl892iwq/rpj17xmk/fa7bgADAWnoC+culF7ky56o/f2fWtZ59eR3taCWZPb8PIqIPB3BiK+XEwGql0S97EhBoWPAY64kVG05Xx6ccy2JJUyDelIRNQFyMFv4FbNwQ3SGp3A4YJab79SLBs3hr2C1mR02DpVVAHMTVR70EMTg5t4RNnMk6rRXbiUAjODefTaAcHJIURohHoMWfnVLVd0w4EYoA7lo0uV6DN9bBmXS8Gpjro6ajjpCVn8fPPmHPVsztnv9hd2nM0oHl0AD5/7hl45Ncv+pdffPZt+3bvypfR/VW/Ooi+DoYgcFHz6/BcXf0D+CFBEGWjlyawSSzJmXxb3qeX92tmwU2uTbM5J2gyr9Ao4iSoTcCb3dbw+BiNVMjeVFgyj2PH1cwTV8+T1m8JXeEUcqUI5VRy48OIycVVHaemQTB4dwO4hdEOTjCAR3CYgGOrIgZC4VCgaAt4DNg5YMvGmmwqijsnfWL57ItuO8l+Piq2rjgq5+41UxQ9zjxlDgYG9kbv/YNLN1168Tmj06a0wnNCMMaV8ROwLA4/5LjvkTzWvpgDvCa1lcSw3gaoG9uu6RXemiRZGaBvFhbXmEzC50hZbMBQTwyUNVhvhfoGKfAg9OWQwzDfWUuesvAZ/Tt+bDiPiIM1abVExBQkUVRSdIWTOBc87lCb0sUBwQ1aonVzmM9lxY9fs7FsToiLV1Tg2bLfuP6+IRcYr/iISAGz5y8fPemUSzbtG9gbFVsXHC1YHj2AA0Aul0OtNn7PwkUnXb18+VmDXR15eHYNjh3CtQPYVh2rn7Xx4/8sAsJR3rQBboMHaPoQh+AxQQqs0UtwwlpLNFpurdOSBmCnfd8sdTmspvbxOEIl5VA7zSAOEi4dB3TUZzZwbjR5HG8zwGsGecyyNiBpxwySfr225Ob7cbmyW8QZgtCCEDbeeW4NKxaPgUU1+CFHJSQYrXBYbgnnnHPO4NIlS68eHRu/x/VevSTYbBxVgJdKLeju7oXF8P0TFp/+yROXnjnQ3p5H3q2gkB/Hf/6G4rpbO7HuxVbAywHUlR51qr5SQkrTE7MTVcrJjDMHje3UBLowkqIMi44M4DUUs65Ahoak+DmyCkra2guY+xqfZCOSE47YkpPUa0Vmm/meieadAD21OrK24qklwg1Z0HQo42AQndBSJzk0mWgpp4i4hTB0UKnkcOJMhi9/dBjnLRkEr1UwVBPIldpw4crzBs45a/kng4h/v7e3Fy0tLUcTkkcX4HrkCy2waP07vdPPvH5S7/yBfH4cD68X+My3e7BucxdQKAJWDmAa4LTxOm44mFk5MFWlg0aHMlmEdmJtnFLSQFsS652gNxv4aRhN1JNXRcvFIXY34Spm4EYfI7l0opaklwU3lRWtisCwuo3lbinQGwXLetJAa+CpryelxSiyEIQO6oGL0dEiTpjm4m8/MoZzFw2ABjUsWbpw4G0Xr7i+Ug2/09ZaPhZQPDYABwDLaUV1/49vs738dRv3Th+84R96sWF7F8rlHMqujYLNYDOjkDjzT5v8ObHQAql1ORustjrdpkOJZiBPwThhRhNZ8ORrHUYM57V5nSbvNrk2zMeGgiK3kwTM5vYMdTBpS3YBWZO/xytEZCy6ycnTuSeZk6Q+M4oYgsBGre5hrFLAwGAbZvWW8IU/HccVF5QG8y2F6778vV/d1tlxdK22OY6KijLRKPX8IW6/59Z/GRpe5Le3Vf6hb2RbKecQBBFQDQnGQoKRkCDkAhC6gNOKJS/dUkjfN2QQZrh3sowhmlpnIHEqU9RkgsBMyuFsRlOO4bnLhvLN7TqnpNkcjLNaTf2cJA4mhTB4u4jL2+Ll+iCNhn5OiArKQSea0SQ0H/N++UlUFZ8DahEpTlEPZBc0P7ARRgxDwz5mTJs/+sHLJv1Fpf7y/7v0LR8/hmfxGAMcAJ5/aRK3XO/205cMh3N68L2XXt7qHagwsLq0spVQIPR9QPiqYgFxuC2tioi0JZ8A3NnlR1KOJ23icAIZimJ0rDKsOoBji+gjHTrfROicPQVkI/JJ1DFcqPU/DT0cisoAkFU5+scpMFPKZSRTr+IgdNNOYw1OlU4LqF7vLIJFQ9hWBC5s+IGDeuCg7tsYr7jYO2ihs3terRB0fnjBjPxd9XrwmsLwhzOOqKLn1YwH778TV7zj7ULQtucX9NvPLZjJ3zZW2WntO+Ci4ADFXA3XvmsXLFLDtu1Mlj9RC5RSuIzApUI2sWeqekctDT5RhU52/Z000A9VTUMm4OyNVTwyJkUy28hhPm6m+Bwql+YgzzOUSiePJa6EeS1S9/FuEr8mO4MJSceUYiNAAXOtJYtyWCyCbfmwnDp+tY7gO/d5mN7joFpthRAU6zZVMFCZUyuWpn7w5EU9P355ux/NX/r+Yw2/Yw9wAPjZPXfhf336HeLSt73v+V8+8cILr+x3LxXVUXtWr433nx/i3eeN4fxTRrB+K7Bltwth2WCUIUcBlwlYTIM8ATc7HHAjsdyHKvPKTgCQDMCbToLXCeCHcdM/OJY/TfCmYZtszYI8QXoTkJuTxFgSkgpYLIJlhfCcGh76DcFVX+vFo+u7sW+wDTkrD0KABXMnVfr6Wj903mUfvmv63HX8LZe9+/WA3usDcAC47bt3YD+diQ/PH3luH3o2t7ewC9pLNW/mZKBc5JjSVUW17mPVYyVwy4XFGHJMwGWqzNPSFlyBO1OD2QzciROaBrf+4zSQk9cm1qzBgmcep1WYYwtwkIODX4MzLV0qDDdxHlItQokwMG3kcQMxP4+fkKRtBoX+D+RaTbYVwvbquPXOAh56ahLKxRxabSDnWujpnTbc3jHtz77w9VNvf/LeO3D62X/yesHu2HNwc3zjrz6EOd/8LpYu7P3h8Gi7XXQrNxfIug6CV4wkeXkiGVHr61ABm8l7ywA3NQI8saVuAm5CGi23Kf+Z+rj66EMOrW4cUcznGI3U9xASsLEOJZIWzDLML/myptWA1L4BAapaTnAur4ocqhEQEbJXClEuqVaTCEC5QMSTpd7jyCkh8AMOO9eCeScs2t/WVf74rkHrh5+96gWU+q55Xc/P6wpwALjm6j8CANQqQ/9CqG2N7M1/iY/u6KK0hnroQlAKqvIVbM2/1T1jUMuKNyokJANuMgG4Y+cRacBP7EFOtH2inNgJtmcLJg7x7ilOPdHJzHxUKl1Fh+EB0Hgr4iO4UqkAolQSEV/ddCcs3WqZCLkYlF7sSigJh1IKRhki1ZwTgsKzI/CgBq/UgYsuPHfgbW894zN+EPxLV2f70QPREYzXHeB6ePk2iGj0nzv7ziPB8Njf7tv5g657V0fg1AajFB4VcJmAawk4TFOUJIJp/FfyocmraXMKkJ0ICdjT0uFhqyUTASy7PYv5Zu9vUo0J9h3OV4nzwwniRpu62U8cJ1Dg5pALP0FJiIBQk0E+TjRuBWguEBECiyXiICUClsUQcgYeWFh5yhhW/drFB644e+C9bz/r+lCIf+7qLB36BxyjcdwADgCElSDE8G1W+cKwMuB89ZXxNW3CGgWDQI4BniXgWoBjSZrCmAFuJMCJbRNJ0mezXNfMETdBnvDOicbE1QuZrNUGNVEgacZ5yHPxqk7gQb51jHiSmHT1IoEkziBL1HSGILQyHuebJNv1VU8g4jyuEJIAjyA4QRBZWLFkOv76mrcNLT91+afCMPpeV3vx1fyyozaOK8ABgJAyxirh973WCwdPW1aZdeKiyk3//vPf2DmLIu8AriWtt83kymkajHL9cpGqSknEBHJw500fTTIYITgoHdBac3Z79kUpTB0pcjPUJPt5JGvizce6kkcFz83Ip6Ya+hzoppomyKVGrt9Ih+rlQq46K5FSgEUUnEdxMQQhEfIuh9t6bsC5d93lF6/YRGjuZ4S4xwY0RzCOO8ABoJi3+AOPrrvn+j8523n8N9srfeX83z+z7jckCqrUYgS2RZQFlxId50AYCQSqqWR2pCTCFMAnttZ6+0TAzFIAGMebKBc4wvyHg9CVBiAbClCK0qR8CQFd7hZfSTJVQURJfbKTrLTCTYdKwApCiiCSIXpCAYtyhBFBxDnqAQUXOd7Vd4Yg3syP5suzv4tgk0/YaUcFG691vCEADgAXLF+K1U885y+eM+X7DsSDJav6ru079vzvHTt3wbMtODaFbUkpL+IC1boEedL0XQ1DHUnnqSSrd4nD+D4ic2DWDzXVC/04NQl0hQ1M6KfRbOK4KfeO9ws0M9wk80tSr48FD+MofaVT50WQROGWpZQiNWE4FRARRRBQVOqyrpZSwLEIQksgiiK0d/TALXV/3i7MviOi07aPDFb8cscbA9zAGwjgALBi2QkAUP2n7965cfmyBV9a31JwerpKN+zcsZ0JHiCfs+DasjVcOBRgeJzDD+VrKZEcXdMIbb0ZJckir+pzNHizyUxxkhJRKoS2kgrBImPehZDrTEK9T9byH4ymNGjWSJ6nbhlkx73/Mo2NiEEtks9PNwaKRyRVEaY6wxIii471inhMBXD0ODBqYf+wbILvOgKuAxRyDjp7ZkStHR1fzJf7v/TK7j3RSVPPO37gmWC8boGeIxk/ufvfcM75l4mrrnzvg3f+2w9cxshpY2MjlucIdLYS9PcKRKhj3aZkrU79J8tAEJGhfcXbJchl/oTm59nRwHRMfTyjtJjyI0BSUVB5nGL5cYBnguabZre6WLdv9BeS1IDkuFjnRwJu83VmkCbOEDTSX7XzGBsDqiLGloDN5LLtnhOipVjH2ucJNm4l8P0IzLLQ3taK+Scsq5/8pkv+rn/2aZ/7yB+9VZx02juPN2yajjeUBTfHhz/0BxgeHkEkohsuuvBcOm/O9DPWrF5Fp3SOnNHbtskaDgPsGOlGT4HAswFhQakBSZTTYhLoOuADIZRzSsAN9tzUymVG7DiqF2U5rnr7uCVDehJpt2/iEVv0JvzbpA2N4E93iY3reyEzBJP0V7kEtuAJsJlOoiIclnodoxy2zeHaIRwnQnvLKHYcqGLNhhKWL+oKp+Ra1qw4+xI+dVr/GiHEDZXKKPL54ycDHmq8YQEOyO5Zaly/ecOPcNGbF5Zy9v5/HB4ee/eaDfup4BzV0EKdE7QIDsugKIwRWFp9YWoJD65Tc3V/azkhCBDrwLowQDtjMW/XleXNdEEYdEUgXb1OGsGd4t4ko+tDpOhUlp6kgS5S9CtV2SaS7ilCRSijiCCMSCwhWlQeTKh05AGAMQHXCVHwfBAiEIbARcvqGKot4DPmLLizp7f4kV+s2Tx69YITjzc8Dmu8oQFujhkLLofgvx0FmfMX+zZOfcnJP7voAytr7xjY/yye2mxjuOYh78ponEUJbEbgWhS2TWEpgEdcAAEH5wKCZ5rMQ6QS/zWAoFqZxQgyrHez9msCyUpmupSrmVcbB5mM+7SMqY5r8uIkky9plxF/Pa7D5UhRNyEIgpCgHhBEKs/bjlfaJrAtCoEIlAqU8nWMVkfx2PoiTpp/Ci5YHt09df65z+6rzPu6w8ZGV54+83jD4bDH7wzAAYDQxQCwb/PL2z530ycW91eGX8L2ncV3fO5bz2Dj/gBdBQpKpdri2ASuQ+G6DLZFwChBEApEUQguuLxcx/WEiFspRCK5zEtgi/hyT1gaq6a0CCDp9af2mc27zNKyVIIUTAoiYs6fyJAkpaKkMiBV6jBVziEXBBEICFchdnV5YhSIiOTflapAECFWQ7hhwTkngIhgs3HYrg27fA5E4eS7y31zPja7ML71TZ2TjjcEjhwzx/sLvNohokGA2rPXb9hw4pMvVK957MlNZ299cQMYH0VH2UExz5DzLOQ9ipwrvX9GOV7ZV8fGbRxCJAoLAESR/OPDSPazBgEYIWBM5qIzRmBR+ZxSHXQiGT6cOJBUO7YUYJSCMaKcX/keMq8mnR1pdghIJYMRoV4jAW0zrr6TgMU4mAqdCw4EEUUQSioCqPx5JinUhq0MrwxwuUKGQ+G5DAWPoJATKOY5WnI19PU4mDl7Klra5zy0ZaD967ni4mcE91+aPf345JK81vE7ZcHNQVg7ALwkhHhp4QI8K0LR+9Zz5n37xY0vzH7xheeYawt4DkEpT9BS4GgphJjcNY7N5QP4z2c6UfYI8p6ARSQQhRCIAqAe6Iw6mX8OokAKpAItzeiErq7hILHJNhdehXqP5uqISAE7lTiFpLuUtMrSMWSMw7I4bMZlmRkn4HWCGpcLEVAiYDOBvBuhVKzix2sCbN9RwOQ2gmKeohQJQDAIAViWhXnzToumzZz5kuuN/Vmh88LdJ3RiIyW/szYQwO8wwPVQktzGgX37N4ZRdFF72es77+xld659fE3L8NCuQskbQ0c5REfZR7k4jH+9Hdg7RlCwBSihcG0KxybwQ4J9oxwHxtUaQJaAa8vLP9OrKkBKjWlZUA5TiSEkgafUmJP8j+R7a50+WUArxecNuiM3SK3apE8WlR2jPDuEY0dgVGBw1MXeIRv1gMJzBBxLNlzqaKni3RcM4TPf8kBB0REKRBFHuaUNfdOmjJ+5YvkIo+EVrZ1TdlJKtx5Z/5c37vidB7geXZ0dEEJs7ZnUtX18fHyhxXA6Jfz/jA29EIaV59pt7C7ZThW79rWACqEsNOC5FOWSha5WjhPmDeC2+z1Uxzx05rmygIb0pqwtjYNHSmfmao0cLuLjdBSREEAYyUx6f7wAlqIQmooAiFci5oZTK4TM/ONyKTNFWwQcK0LOC1EuVDFWr+Lex1sgAg+dZYrWEoHnEPCIIIoIesocfhSiGhZQLLeNrnjTvMFlJ8+3HJtdOblv+mOFQmFYQHD6GhrOv9HG788vQRxI4ZXK2FB3d8/9xWJp7tpHfjxrwdIPfrFz8vL1ttf3dE9Xd61/Uh6OJSN2nkvQ1kIxe2qES06rYsH0QQzVI4z6BH4kFQcImSKQaOtSpbFYwsWFkDw+DKW0FoYCEZcrAHNuTBKYE0WogJQKsNiSm6tV+RBxgiAiilMDYaSX4VaNkaiAbXHkXB/Fwhie21HDPWtdvLwrwOBIiPGaQN0XqNQIxuvtIKyvNnd619NvvfBN66+75oNf/N7375zVUirN7e7uuX90dHSIEPJ7BW7g98iCm2PSpB5AihiVkaEtINS6iVB206+3ns2uuLjt721Rnbtty5Yz9w7sZa7L0VrkyDlVtJcELjttDA8/1YpqUEAURbFmTJWDaFtSUqM0CdcLwcEDAT8UcUUMY5K/UKKPSfQXHY1kiuc7lgCzpAMZRTooQxEEWp+XDjEgj9Hr0xMqnUzPCUBpFfetLWLggI0DeR+jFYaeThf5Qh6tnV1Ra8+URzra6Ma/unL0qgd/zaJC3sNt//gVMXt2f+V4/1/HcvxeAtwcLW3TgYTKhoODBz6S89y23Xv2/c3dP33AqYzsjqb32ydP7sqfIkgFcyfvQ2fHCAaHPIQqHZcSGRG1LQrXoXBsFtdvyvwNgsERgeFxeVVwLALHUgEnQhAxASaSYFDMvVUhh2MLuA6HY3NQAhwYZRgaJajVE5JPibTohEgJVKiQKUEESiNs2hngty8ytJRymDK1Ha0d9NflMn+qf3ofO+HEN/u5Qsdnw8AfWjG9DAC44WPH+595fcbvPcCzo729FQCGAPwPANizdRUAcjYl1QvBZ1+xbPLeeX96OcEP/v0V5FgAzmsIAh+cMzg2QyFnwXOk3BGGAhYjmNTGUYvqeH43kGMM5bycT1Q5kCwi4FYSIpUAl7kfliWBnfNClIs+HLuKF3fnsH1PAXmXgjGKMJLAd13JXRgJZafWAgezPESwETpLceapk9HdXX6ht71wZ0vR/jnneGjFeece71N+XMd/OYBnR3f/SgB4qF4dfAjAw4zUZr15xRB/8NEf8Rl97TPm9Hd85pVd29FedhHUBoFoBN3tIfaPcBwY8TCpnWLqpBCL5w5hT8XCuvWt8GxVpMF1UYaIaYXOetQW3FK9s3NOhM7yOB57YRx3PGihM+djeo+FjlaGXQMV7D8g0NXKUJjahd6+SSjl65jS1wuG3V/i4SubT1h0Kb12dg8t5exNELi/p7vteJ/aN8T4Lw9wPdxcOwDcr5/v3LUHnuu2bt2+a83TzzAU83bQO2nhtbbFV7aVfOze5+OBX61HzqvB9Sj6uvKYMZnj1+sJ6vUQFhEgnKiMPoowDEFhoeAxMKp4ORegiCB4BMEDODbH/vECxmotmNrGYNkM/VPKOPWMs7D/gIWOEoPrslWe7X817/p25+QFaGm9+KEw8A8UW7qO9yl8Q47/BvgEo29yNwAcAPATANi/bw8APM9F1J13Qu621JBfuwW2HYJSAj/MIQhGgj++/E03hrWxywQPAkYJ8h6BYxMEAVDMM3S1M7QUOPyAwLUFCrkIBAI5j9m05PwUZNWNLUXXdh2AMQulUhFLTlyEsaqLgksoY3QPgM2TJ/ce71P0OzF+P9T8N8j42f2PgBDSvW3HK+XArwtCCXIugWNR1HyOYo6hs42iJS9QrRM4lkA+F0EIAddxSKm1Z1gIsWfarKOzfMd/D+D/A/nSSERwns5oAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjM3OjU3KzAwOjAwrwODlQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOTozNzo1NyswMDowMN5eOykAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68168221
{'hecke_orbit_code': 130604389227300139, 'n': 1, 'trace_an': 4}
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id: 68168222
{'hecke_orbit_code': 130604389227300139, 'n': 2, 'trace_an': 0}
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id: 68168223
{'hecke_orbit_code': 130604389227300139, 'n': 3, 'trace_an': 0}
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