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mf_newforms • Show schema
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{'Nk2': 19456, 'analytic_conductor': 38.83923554315078, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [4, 0, -7, 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': [[3, [-8, -1, 1]], [5, [4, 0, -7, 0, 1]], [7, [-11, 0, 1]], [11, [-8, 1, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246267648, 'hecke_ring_generator_nbound': 7, '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, 8, 4, -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': False, 'label': '4864.2.a.bl', 'level': 4864, '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, 19], 'level_radical': 38, 'minimal_twist': '1216.2.c.h', 'nf_label': '4.4.17424.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{3})q^{3}-\\beta _{1}q^{5}+(2\\beta _{1}-\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4864.2.a', 'trace_display': [0, 2, 0, 0], 'trace_hash': 552441268574701737, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.059', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [34, 40, 38, 32], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [115, 120, 122, 116], 'Nk2': 19456, 'analytic_conductor': 38.83923554315078, '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': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33559296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4864.2.a', 'level': 4864, '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, 19], 'level_radical': 38, 'mf_dim': 664, 'mf_new_dim': 144, 'num_forms': 46, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1230247
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1216.2.c.h', 'target_level': 1216, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1230248
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1216.2.c.h', 'target_level': 1216, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1230249
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4864.2.a.bi', 'target_level': 4864, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230250
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4864.2.a.bi', 'target_level': 4864, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230251
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '4864.2.a.bl', 'target_level': 4864, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1230252
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '4864.2.a.bl', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '4864.2.a.bl', 'target_level': 4864, 'twist_class_label': '1216.2.c.h', 'twist_class_level': 1216, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3729925
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 166633186246267648, 'p': 2}
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id: 3729926
{'charpoly_factorization': [[[-8, -1, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 3}
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id: 3729927
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 5}
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id: 3729928
{'charpoly_factorization': [[[-11, 0, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 7}
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id: 3729929
{'charpoly_factorization': [[[-8, 1, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 11}
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id: 3729930
{'charpoly_factorization': [[[576, 0, -51, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 13}
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id: 3729931
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 166633186246267648, 'p': 17}
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id: 3729932
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 166633186246267648, 'p': 19}
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id: 3729933
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 23}
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id: 3729934
{'charpoly_factorization': [[[256, 0, -43, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 29}
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id: 3729935
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 31}
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id: 3729936
{'charpoly_factorization': [[[1024, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 37}
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id: 3729937
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 166633186246267648, 'p': 41}
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id: 3729938
{'charpoly_factorization': [[[34, 13, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 43}
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id: 3729939
{'charpoly_factorization': [[[36, 0, -87, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 47}
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id: 3729940
{'charpoly_factorization': [[[3364, 0, -127, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 53}
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id: 3729941
{'charpoly_factorization': [[[-6, 3, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 59}
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id: 3729942
{'charpoly_factorization': [[[4356, 0, -231, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 61}
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id: 3729943
{'charpoly_factorization': [[[22, 11, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 67}
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id: 3729944
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 71}
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id: 3729945
{'charpoly_factorization': [[[-123, -6, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 73}
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id: 3729946
{'charpoly_factorization': [[[16, 0, -184, 0, 1], 1]], 'hecke_orbit_code': 166633186246267648, 'p': 79}
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id: 3729947
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 166633186246267648, 'p': 83}
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id: 3729948
{'charpoly_factorization': [[[-116, -8, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 89}
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id: 3729949
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 166633186246267648, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 38, 'label': '4864.2.a.bl', 'level': 4864, 'portrait': 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gHtvmAQe6z2BFsmDMstw6kLiorns2UadsyFbJ4ZsGlmyJaZITs2W3ZtUVyx06Oq6hw/1eTBZ30ePxTz9MmIRHX4jpe3ePtLLVU1w6GTkxw/pzm7kDCfgvvIkuWmqxb5xXevsnN2gnMLkyysVlhueay0JKudhHY3oTeEIyeWOXp27Yonjyy+4uiZxT3Hzy5+4ZZve2d43xf+8hsNib/R7ZuawZdWWmgSDOLX73vi2Et/5nc+Kb/r5iMv/RdvO6OX1zax0m6y0qqy3PJYbmmWW4KVVsJKK2J5LWF+DY4uC+Zm1/jlH1jmxZfVOH1hmnMLdc4taS4sW+aXYs4sJix0YianB7zsmi4vuRx8WSVQARdWKpxf0syvCHpDiGNDxTfUKwlTEzEGODkf0+7C7s0e9eoQawUIn27fsGvLkOU1DdZJkbUuDGOwWFZaIds3eXT6CqEswgxpVjx2bR2w1hOcPKdJjGamKWlUBIEHcSzoDSXzK5Lzy5YLqzFBMAAv5pYru7z0KsFcs8ryapPTFwLOLcGFpZgLKzFnV+DosuXGK5f4lR9YZctkk1Pz08wvV1lc9VlqSVbWElbbEavthJWOYbkrONsWrKz0+K1/NYy/5zX1+/3ZHzF+/fL7E8PPBZ7AC755s6PftEHm77//r5idnuDs+cVf/din7/qXn/jCY8GZ0x0+1DK84QbLiy5qY6wmMZLECBIjMEZjrcIZKyBEghCWY8tT/PKHBL/6wxe4fm9IozpNvdqgWQto1Dwmm4oLy4r5Vc2XH6jw2ftiLt3Z4/KLYlZW+1yxc8j3vtEQxQqB5dMPVlhoVagmQ06cV3S7Da69JGGhHbP/oMdlOyWHz8Et+6DVgdBoAh0yW4dDZ6vUqhGBiploCNY6cPMVHY6eCbhst+H4uSHPHXX/nrdzwNELlonGkJV2yGe+XMMKRZIkvOq6Hrdeb5lf87j+4gEXb/OIoya9fpX9xyrMLwkWVxMWVmMurBhOrQgudEOuu2yZf/v9XeaaU5w8P8mF5SqLax7LLclqK6HViWh1E1o9y1pPsNBTrHYibrpqhVdcvqaHvelXnrvwUeqzL711+95XGy+Y+4XnH/84V97wXd9oyGx4+6Zk8A//xce55UU71afvPPhvT52Z/4Wnnj+hFtcilvuKMz3L1bsu8Ns/sch1F9e4sDzFcqvGSqvCSstjpa1Z7cBqK2G1HbPSiVlqwelVga4OuPWqFb77lSF7N9VZ6zZZWKmyuOKz1BKstJxEWO0Y2n1De2jpDWJmmhG7NhtAEHiWMwseQgbs3qTYu82ybVOPC6tDnjrc4IZLLbXqKs8emaZRDwlDj5kpQ38AV+wa8OE7J9m3M2Y4tMxOSKKkT6MS8NyJAVWvznWXxTx9LOTCss/2mYC9W2HXlhClIs4sge9ZhLDs3hwz1ZB0+gHdnke757HSVqyswXLLsNJKWGolzLdgeZCwa3uX737VErderql4Tc4vNVlarbC0pllpC1ZbhrVOxGonYa1rWe7CfEdxYS3mxfvm+c2fWOaSbQ2W15qstiv0wyZB/aKk1tj8q+e6V/3KdHAieekr/943Gjrrbt9UAD906CCVaqV65vTpXY8/8fy7jhw/9+8PHjlNlCi6IbRSRjnXibnhogv81k8sc+1FVRZWp1heq7HarrDS9lhta1bb0OoY1joxq52YlbblQktwrmtBdHn7y1u8+cWGi7ZWCMMaq60Ka12fVkex2hV0eoLB0BLGliQBJS2BB9XAMtm0bJqO0N6Ao+dDnjkSYOI6b7w5RHtrPLZ/gj1b4XMPx7z86oCFVp+KVsRJxPQUxJGH9mKWl2u87Po2n3ugwd6t8OjhIR413vBiQyz6PHM04fiZClr6bJ7STNUF1UDg+wIlIDYQRpZBCJ2eZa1r6PQMaz3DctfSTxJ27+jx5pe0ePtLQzANltcmWFhxsm6lrVltwVonodWNWUvBvdKD823FYjvhxssu8J6fWODK3VUWVydZ69RodQM6PU23JwjqO/CrW//N5u37/nLbtu2nhsNB/9JL932joZTfvmkAfuLEEWZnN/nHjx36oUMHD//egw8/KZZXu7IfWnoDQ29o6fQFa33BQl9yvhPx4ksW+M0fXeb6SyosrU2yvFZntR2w1vFZ7WjWOoJWx9LqJqx1Ylpdw2rXstARnG8ZpiZ7fNuNHW65PGb3ZkWz6tHuVAg8CSjCWGKMwFjoDQBhmGoMOHzWYmzIHY/WGfaqXLLd59ZrekRmjbsfn+S6Sz0Oz3dprTZ5yTU9vvxYwOZpy/6Tln/6tjb7TwRsnpZ86XHFrVcoVnptjp2e5rrLQu5+pk88rHHLlT4X7xzQj7t88TEFieDoGU2zptECen2JsYLEWKIYkAbtG1pdS70RsXPrkJde0ePbboiZqVe4sDLB8lqV1bY7NqttQasLrU5MqxvnsmSlJ5nvCJY6MTfvW+RXf3SRa/dWWFydYK1bo90NaPe8NHmmaPcFsamY3RddbffsufgnL7n0kj9eWlwM9+375gD5NwXArYlkFPbe8vTjt1+yuMJ7Hnv0Ma/dc7XRvUFMf2DoDQzdFOStFOTnWjG3XLHAr//oIjdc7LPWnmBxtUGrW2Gt47PW1bQ6ilYPOl1LuxfT7iZ0+4ZWz7LYFSx2IUqGXHtpny3TCd2e5U0vGbJniyFOJFpawgjueqrCqYUKW6dinj1aAVPj8h2K6/cZgkqPxw73WFyqc9WeOs3JVR542uOmSyss99ZYXW2yZYvl4f2K739Nl0f2a3Zs8ljqtlhdmeb6K3o88GzCdHWSqy7pstBq8fDzk1R1nRv3WS7bNQDZ5anjgk3TERcWI+5+ymMQKaSExFj2bA35tpeEdLqKbVOG6y+FMKyx0qqx0gpY63q0e4pWV9LuQrvnnJJOL6HdM6z1LCt9ydm2oNUfcutli/zKj6xy46Xu4mh1qrR7AZ2eR6ev6fYV3b6kNxApgUTccMONUT/UP/393/2dRxr16meCwDPfaGx9w4PMfr9Prz/4gXMnH/vtpflD06fPtKlWJBaBEC5aFMQIAQhnAQphkdIipeaRQ5v5ufdp3nbrCt/zmhX2bg+ZX24S+FWqgU8t8KhXNZ2qpNH3mKhreoOEbj9h89DQH1o6g4CVxQpnTlvC2HB2PiYILCDwlUVLQa+vEHjEPc2L9ggu3mbZtb3HMOnw+UcUB45M8fobAq6/YpUPft7iixp7tvd4+gHF9knFbLNHRVUJI4+FDtQrmh2bBU8eCLn+siqvvG6JP7m9j+81eN3NFi/o8ZWHQz73UJ3nj1e5aFuNPVsT5qZC9s5GXL0nQSmDVhaw1IKAucmAMPLo9HyePezRHTiW7Q4k3T50B5Zuz333Tj+h27e0+5a1Piz2FBdWLbWJFj/1xkX+3q1Drr2ozvmlJq1uhU4ObkVv4MDdHQh6A8swdDLurnse8YLazG/v3PHwyre96uZ/2e/1/qRaq/3vC/A46iAwP3Lm2H2/fuS5O6c77TYV3yc2IvW0BaAQInNEQArXSaOkRckEX0qePjzHE4fqHD63wNte2uWlVw6YbDRZadWotys0+z7dnqaTnuz+QNMbagZDyyA0hJEliixx4u5h7GMNSCXwtKDiCyYbgqkGbJk17NjcY3aqxRceg3ue8JBmgtff4PGiyzvc93xEOGhy64sErX6fheU6t1xmmJ3sUdUBg1ix2I5QRvCiyzS1xpDHD1Z4xfUTvOTaDo8fVGAnuOFKnx/+jhW+/GTIlx6ps/9UhV1zii3TVaYaNSYaUA3A0xYlwVjYf1yQJIIoFoQxDCPcdxwm9IeGwdCkcs/Q7UN7CItdyUIHhmbAa69b4S0vbfF9rzPEcZP5pTrtboVO36fb91LWVvQGgu5Q0B84+dgfJgwjdywvrJznL277wnR3YP7D2779FbrV7r1vovmNA/k3DOD93ipJwg+fP3H3r58/8cVN0nYJKj5WWBJjwABIQCCEQgiBlKTgBqUsWlk8Zah6gqVelY/cuYOvPNHm5Vev8e7XrnH13i4zkzWW12p0+gG9vpcCW7l7KBhGkigWxLFb6jOLUUmL1lDxoVY1TDcitm/qEdPl8NmIj95d4djpOpNBlZuu1NxyTZuHD7W448EmN19aYdfWHh++U6BEQLMRsdYdYiwoAXPNHu2Oj4mrvOXlC3zkczUuvlDhzTf3CKNl7n5mhiip8OIrN/Hmm9pcurPFVx7v8fTpGk8d99kxLZluCmqBwPfcRSgFCGExFoyxRHF6sUY2B98ghH4InYFgdShY6YDQA67bt8a7v22Nl1+ZMNOsstqu0epU6fQCuoNCb3cHkt5Q0h9AL7twBgmDoWEQWsIYEIpzF1p86C+/tElY++tvfdPL7OLi6vvn5qb+9wB469TvUm+A6f/pD7ZavGf1/NFZm6xRrXiIMAHIQYbAAVsIpJAoqZEyQSmRLs8GT1kCbalqwepAsdya4ra76jz0bJdbr13j3a9b47qLW8wkVeI4oDeo0O179IeaMFJEsSROnJdurHBZUGEJfEOtEhP4Ib435OzykNsflRw543P8zBTKBFy81eeKvYobLm+jgkWeOdpg+2SNqy6CLXOrrLSbXL1dEhvLFx4JGPYkk/WYN7x4wGfujjg132DfJR7n1wY8d8xj5+Yprt27yH1Pd3jgOcEw9Ll87zSX7wy4fEeHo+dXOHIWHjlQ4/CxOjUtCLSkHlgqHkjpgipr3cUaJxDGECaOcdsDQTuC0MQYO+DGS9u8+9vavPzqhK3TAYPBBMutCp1uQHfg0+trugMnSfpDQX8g6Q9dbDQYJgzCdGUITboaWoYhREZxbmGN9330q5seeP78e7xAxz/7Wx/+4IUly/t/7d1/dwH+f/6HD9LceRsnnn/j9zXUwd8Jeycna36AJCCMSCWIO0kyfS6lREpSUCuUEmhl0CrB0wJfG3zPEniWmp8wWRF0hh6r7Sk+dk+TO58asHmqx7te1eLynQMG/S5X7bXs3KIYRh5JUqT5BRYpDZ5OOHnBcnxesNY3fOq+GmeXprChx1RFsW1Gs3uL5qLtcNXFbYxc4r2fqbOyMsHNl2uuurjFV54SiNhj05SkXovpRT7SSrASpX1aA8GFFcGVtsarbuhw/+NVts363HzVNP/oO5b44891eORgne7AY3mtwd5tVfZt7fHiyzp81ys6nFtZ4VP3BSz3Ak6e9zh71sdTAiklAoGxlsRAZCxJbJiaibjmyh7DYcTlO4e841VDNk0ophsBUVTh/GKFXt+nN3SrXD8HtnTgHgoGQ1IwZ6ydpKB24O6HMIgFgwgGiebZU20ePPrI7LWXbvudV9y4PXr/r+3683NHf5dtF/+zv3sA/+nf+DBvf/FN4od+3r5ztvr8H73rlmdq11ykEcJpSC1Nqq+LIFJIi5QKKSVKyhTcEq0EWgs8neBrge8ZKp6lGllqoWWikjBVFfRCSSesc/xMnd/882kwMSKOueGaHnu3hMQxGGuw1iVxpBBIJdCez8FTPvuPVKhXNA1fMlsTzM1INk1rts0pdm9N2Ld7jUQs87ufaHLy1CQ3X+Zx+Z6EftzhwWcCJqseMxOWyUZIreqkkDGS1kCx0rUstxJa3Sovu2qNR/f3OHBKMdms8OIrJ/nRtyzzXz8Jjx+p0+1b1jqaCytNtszW2DQ1YPfMgP/rnT2atRZPH4eDpyWeZ1HKIoQBrPufhTiGPVsSbr06Jok8ojjA2hqD0GN+yac/dCvaIFS5fOuHgsFQMAgdazsQJwyHhmFoGEQmB/YgtA7UkaAfCrqRoB0L1kJL2I/otZ6efPVV83/0S2eXYuW967aFY4HddNGP/90B+D/9vz9MZXJKvf+O+95+7Pj8B//kkYXKM/trvOcnWly2K0H1EpSqIJVx7ogyKOmlgaRFKZXqbYmnneb0PcXQkwxDQxC6IKcaGYaRIQwtzRiGkWEYQxgLBpFkmARESYUDR+o8dQASa3HQdtrYk+ArV/PRCOCqrdCswkRdMtVQzExqNk3Dri1Dts6tEdkVfvcTExw9NsH1Fyku2iG5eMcqX30u5sLyBDfslUw1DRW/TyADrBLEiURYS5yErHYrXFj2uP7yKi+6rMN9j1fYPCWoVRpcf5nhp96+zO980vDc2QZrXcNaR7G4qpmdrDPVrDLVnKBZi5irR+y+PiTwYjwdo1SCTB0oi7uookixsKiJYkUUK8JIMYzSx1AyjCTDUDIIJcNQuAA1FAxDyzB0x3UYJoRhqukj9/NB6IA9iKAXOXCvRYJOaEkGfV60e4Vf+7ElXnX5+Vq/LT6oKx8109ObP9E5+1+Sxvaf+tYH+B+8/y/YMhWop48vvOPYyfk/eeDpkxVRrfGFR+bwteVXfqzFFdsTPJmgpEFJg5Y+WlqU0ihp8ZTF0wpPW7xQ4nvCnQRPMPQVYeSAHkWWME6cKxKX7gnEiSVJDIkhrVshB7cQpKsIeB4EWlAJBLVAUq8pJmqSqQnBpumY3Vt6NOprfOL+kLufmWZtqck1uxS7t3pcunNAItb4wiM16p5mbkrRqA145ig8f0xz9U5Lb6i49tKIay62zJ9PWFz16Q9qvPGmDvc+3efwWUW9Kgn8JldfZPiVH1zmruf6fOauWZbblt2bElZbmsmmYqLu0ah51KuWSmAIfEOgE7RyUkumrZXW4hJWRhAbSZwI4lgQxZIwFkSRZBg55yWMBGFkCUMYRglhZAhLxDGMyveUtVNwdyLJWgS9YYyM+1y/e4Vf+tFl3ngTtDoNomh/JYrVn51dmPmHK919f/XIfbclL37ZO7+1Af7aF1+QK2t8z5fu7/7+2ROnKpuaHmuRoEuDTz8A4VDxjle3eedrOkw1Ezq9CkomKJ2gtYenEzyt8SJNoBUDL2UbTxL6gjAS7uREiiiGMJLOQYgL2y9ODEni3IXEpk5JXpDl3BklnezxtSDwJZVAUq8KmjXLZMOweXrI3FSH2K5x272SP/7cDJsqFa7ZJdi11WPPNsPurat84kHLykqFy7copprQqEVcOCFZWA3w98IwEsxNSCYn4fBxy2rbML9U4dI9FV5zQ4fb76kw04DA91FykqsvFvzYmxfw5AKfvm+K589W2NyO2DQZM1FXNKqKWlVSDTSBD4EHWjuHKYtjcpDjLuzEQJII4oQU6BAlzgWJosSRQmQIs8fIEEYwjDNXJrUgY0E/yiSJpBMZwkHERNDiu9+4zDtf1eW11wna3Tr9YYX+0GftwkKlk1z4o6dPG90L5V+Q+mXfkgD/r+//JF94OPnBtaVHfuuJZ1ea9UBhMWAloOmJBl94VPPgcxXOry7zT9/eZaoZUQliOr0YT/t42sPTHn6YEHoaP1IMI0nouVS6YxzhmChlpTiGKIEkcU6CMS7gMsZmPZwpuB3AnbYXeNoBpBJArWJoVGMmGzFzk31mp9a4/0DIn91R5eDxSfZMeFy8BXZs8dmxGfbtatOL2zy8v0lVecxNKSYbMNkYMjUR4/su3rAW+kOflXbEWs/S6sYsrPrs2tLgJZcvcMcjPQ6ebVILIjzlI8QEF29X/IPXLXHjvgX+7I4GDz87yXJXs6kZM1mLqVUk1Yoi8ASBJ/E8F6solQbtaV+lxfWwGkMO9Dgx6eqWWouxIU4cuOMIwtgW98i5MoPYkUov1dqdBAb9GBP3mal2+Mm/v8T/+b09akFAq11jMKwwCH2GoU9ifOL+keZMtf273/mKF/nff+C2P959+f86Fv9fBvBet41S8kd+730f//Uv3r06E8auQKiiLRaDFAIlNF1ZY22g+K2/9Nh/dJW3vKLHq67rsHlmSKdTpa99fM8n8D2GoSaInL0X+g7gUSQJY7fsRnHqaSek1h8pc0uMpQC3S1KmzA1auYSJ71kqvqFaiWlUYqaaQ7bOtrnQ6vF7n/L4wqPTrKzWuWROsGuTYPsmnx2bBHu3DdD+Gh+5W3PsdJ3LNkumGpKJeoKUQ84uWgItkQKsFYSRZvemNo+Q0O4pVtuWCytVLttR4bte1eKvvuJz4kKApyOE8DC2ThRLbti7yu7vbfOFx3t8+AvTPHaizvYpwWw9oV5JqPiCwBP4notVtMIFzlLkNRkWd5EZi3NaEgf4DORx4iSdAzuEiat1CbPkUSzox9CJJZ0Y+qEh6Q3ZMdvhldev8tZX9HjTjQYt6qysVhhGAcPQJ4w0YaQxVlINLFvFhZnVtfA9l1z9DrW61n3f1GT9Wwfg5xZa9GP9jz7zmXt+/cmnnt/kS4HwnWWV3SSghMETgo6o0A41H/lqhbue7nD95W2+93U93nxzi5nJgP4goD/0CTyPMPYII50HSnGsiBJJHEuiRBDHkiQRpRpxpz9zVWILO1Ip5zp4yuB7hsBPqAYxjeqQ2cku/ajPV56xfPSrEzz87CRTvsfV2y1bpyWbZ3y2zUl2bA65aPsqT5/o86l755hQmrkJQbMuaNYiWr2Ezz1YoeFbhHDA6g81b7l1yGcfcjUxra5hYVWzY1ODt720y8MHOuw/7FMPYpQUDuSmxiB0Wv8fvKbFZVsX+MhdbR54fpJTq1W2NAUTFUvNN1S0wfdAK4GSpAky972z8iOTSjVjihUuToHuCAKiRBAlKbATwSAW9GJBN8HFPGFIvdrjba9f4Xte1+aGyxI2T3n0B3VanYAw8hlGHmGoCeMi7xDFkmGoOHvq4Ka52Tt/fddlrzQmXvmA1NPf3ADvdlqcW2hT8/mBT33hnv/40Y/fMRP2WniecpZfkvnbtmBPafGloKs8up7iTDvg3EM1Hnqmy19d0+Edr+nzhlsHTE/6hMOAYewRRh5RrIlSoMeJIk7ShE1SANzYlLlNUVMmhE2DSlfHobXB9xICP6IahDSqfRL6fPlxyZ/fOcmzxycQUcCeKcvWScvspGJu2mfLrGTbXMSuLW1OL3b4g8/UiYdVduwQTDY0zTo0axHCC2n360w2LEIIrIUolkwHitjEdCKfTi9hta04u1jlyosa/Ph3rvGevwg4uVhHqyi9MDRxXGEQSrbMBNxwSZtrLury3MmzfPSrVe54bJJzrSr1QNHwoe5ZfG3xlDvGSqaSrHS+DGCNu+gSI0gsxIlw/nkiCBOXJOongn4C/dgSxzEmGjJT6fPG167xrtd2ePnVERNVjzCqs9oKGEY+UeSIKAN2mBOSzM8V8TInD395kxXyP85te1ncaZ3709jUmfpbnJ/4twrwwaDPjs3Ntz748OP/9Z67vtIUUYtaxbV9SikKcGfyIPfAIUgMFSXoKZ9erFkYVvj0Q3XufrbHi7/U5Z/9/Q5X7GqzaVLRrGnCyCeMPeK4AHmSAdxIjJVYS1rTkoE7TfUr65JFOibwYzwV0u5HLLYj/vMnKhxfmOLx/ZNY4zNTFWyatcxOCGaaiplJj80zki0zMdvnesxMrvKFJwyPPT/JNTsEUw1JoyZp1gz1aojwhgSBRiv3/tZCkkj6Q01/EBEbQadv6HQtK22P+eUmt+zr8pIr1/jIlypUVxRaRg6QVhMnPmHkejxnJyvceHGXGy/p8sgrz3FyUfJnd0yysFbjzHKAryR1T+BnMkzaPJHmUp6pVMExeWwFsYHICIYJDGIIjYUkhjhCqiHbpvpcs9udj5uuSGhWNXHsGHsY+cSxTglIpQBXRCXmjhNJHDsCAo9zF0JOzt87c+mVtf966b7rVsOw/6m/TUz+rQH8yacPMDO7Wd1220cvOXjwcDMctJia8Ihjm1pzDswqEag49bcl6ETgKYsfW4JEUFOCvhL0dEA/8VgOq9zx2AT3P9+nHgz5h29qsWMmZs+2Prdc1UELRaOmEcLJFZeVdLXSrlgrBTcucaSE88wtMciY545LHj2guf3hBs+dahDGNRpaMVe1TNctUzXrfPCmZnpCMzMp2DIds22uz9a5Ve5+dsh7b9/E1knNXBOadUWzLmjUYqrBkPsPKQahxqs7UFkrCGNJRSuuu6zPQ89MusKnfsJa22NpLeDC0hQ//uYLnFla5qEn5/AkICIM5AAahpJuXzPVqDDZrPOSy3q88poe3/vqRQ6cNnz24QoPH6hy6FidWGiGQ0UvUighEUKMBZ5pTsAaYmOxxuCJhAk/pELES67vsnfrgB2zEe9+w5CqL6lXPcKwRqvjpyupTglH5V67u8sRcEexyFfYOBHEiUer02Wtc2/zwoVzl7zlre9SS/OHk9ktl37zAPz5559n185N/n33P/xDiyuD3zpxagHP06kMccFLkkbtDtgCFeMkQmLRMXhS4BlLEFsqSlBLBEMDg8Sjn3j0kgqdTsJ//MgUNo7YPDfgyl0DZiZi3vGaPrs2hUSRSPW2hBJzk+pPKQ1CCj52V5Wnj9YRWnPyXI2zF2pUqoqJQDBZtzQrhmYFGlXBRE3RbCimGpqZSZidjNk8M2D7pjaJXeNj9zbpd+tcusPSrCkaNUmjamhUYjwv5AsPVRj2JN4mF3dkEqVeVbzxxX3uecLQHUq6/YR2T7PW0cwv17hib4N3vLzN48/VOLnSQEkDRKle9ogS5yYNQkl3oGl1fRrVGvXqkCt2DLh534DTCy1OnF9DewlPHdP81VdrCOUK1xifP2gNYMBaojBh9+aYd72mz2wzYd9uy+YZSGKPYdggjj1W2x5xpIgSncZBjqnjxAHbxUQpsGPh4qRE5B58DvBYgNAk0Qr1SvxbB/c/1qtNXvTHhw4dCC+77PJvDoBfmD9Du7V02dkzp3/v6acek4GvQEAiLUo5JyNJBHHG4inwtRHo2OnEKLF4CcRKECSWirHEiSA0ljARDI1kmEhC4xEZWOw2+erTBkvCXz/sRjZgTXrPsnipRSayikSJVIo40kij8bSkEcDeOUvdM9QCQy2AWiCoVyWNqpNDEw3JVBNmJmLmpoZsm+uQsMp//niF+57ZxMUzMFVL2bsmaVRjatWQeq1PtVojUBIlUw2OkwNR5DHoC/rDhM5Q0R0YOn3jWubqPmcuTPCyK4f81Dsv8Nt/pTm1FiCEwdoIk1ii2COMJIOhK2Nt9DX1ik+tWqEW1KgEEY1qyA2XhvhexE2Xxrz7tT20itMkkHH19mVRnko6YyRCSAJPAT6DoWZ5Vbu6nSSLedJ7LIsYKJa5xs4AHcUvAOwME5nmjy0PPvSY3NdRvzc317s3DIfP/m1g838a4E88+HEmJ6keO3bo7edPHRWzUwFRjEu0KINJLLG0JMqiEuFALy1auUg9f0xc0XycRfRJGtVnkb0RxWsjCI0ktpLEaCITkKS2V/mWZykFaCFcplJBpWqpaEtFJQQeBBoqvqUaCKq+pFaV1CraAbwumGwYppsxM5NDNk132bZpmffebvjwHZvZOamYbRiadUWjpqjXoFZNaFQjzi8bjp4PqPjugoas0k8wCDV7txi2zA5oD3z6A5uyuGSto2lUKzRqk7z7tQscOz/PH31qO1pqLIbEJMTGEsWaYajoh64oqleR1AaaauBRDRJaHRdj+F7iEmZegpauUULKJK/7ESKtW3FHLAW5oJVOLDDGxTVJIjFGEpsi3nFgzQL87Hn50QE7zmVJGsgmwp3v7DwngsFAcO99T4gdu1pv375zz9H3/clt/R/5h/9zHvn/NMAPn9G+OLX0s3Hvws9ih7JWkQwjiJV1ektalDJOpkhLrJwOT4yTJ7EBnaQsnyUfjE1fF9KmeF5UyjkvV+SBUllzAyNBrZYGLUlrWsBTAk9b5xtrQSWQVHxJNVBUK4pGVdKoWSbqCZONmOnmkNmpHrs2L/PwoSEfuWsbU5WAzQ1DsyYcuKuSesVQr8Q0akMePghPHahxyZxNdW+RNu8PFTfts1y6q88jz07SG1r6g4RuX6cg96hVqlQrk3z3K1Z46tACD+3fAlZhTOLKYWNLHNm8nqQ/1NQGlmpFUfENge8R+AmBNmid4GlXYqyUaxiR0hW3ISyCQs8VwbkrITaZI2Uy+7VkxWbATpm5eF1m6IK14xTYSQ5sR4ZRmiXt9HrSX7jwb/ddNOlfdGnzV4HwGwbwfq8v+4PBL932lx/+l2tLC77vKTydgcslGFwCwQHdsbghSfsIE2XRJtPoDvQmIX+eZBk3m2XeLCbNxGXJCmstpcz7yIpblNxmsijNWCpKRVsu+xf4ikqgqAaCWlXQqFqatYSJesxkY8jMRJ9tc6s8dLDPL/3JZk6dmeSiWcNkDZpVRb2qqFegXkmoViJ8b0BrYFFS4SmLlMUncydcEsU+zWpELzb0hlkPakKnJ2lVFbVOQCVosGdLxK/8UIt/90HJg/s3Y1EYa0gSQ5zEhLEhjBSDUNEPJNWhouJLAt8S+IpAGzzP+f1aOcJRygFcpTJFCDvaoJum9m1KIjatZUlSwCemeHRkJNNHUQDcFEydsXcG7CQpPPckMe5ijQ1KCVaW5v3z81M//fJXvt7r93v/plqt/Q+n8/+HAW6iFtYOf/XA4bv+DzM8U6lUZGo/FWyV1XgkUhCrFMhKYBKbAjjNpKnstcAYm6eRTe7RgjXWdZGnJaDlO2MAT2V38RmE+xxKOUmk01Y0T0sCX+J7ikrgRjJUA0u9YmjUEpq1iIlGyHSzz7a5NR460OPf/fEsB09Ns3vaOSyNqqRek469q5ZaJaFWiYiSkA99qYFUCk9alChsQmOzJdzjH7x+lS8+FtIJA3opwLt9RaeraAWaih8QeE327Yz59z+8zC/+seCBZzdjrCQxLq0exa7QbBgahhVX7hoEgoonCHyX2fS1zTO2WhmkcvFQlpPIAV6kPN15tqnTYkTqtqSBfAbgdOqAyZNrpOxOvuLmq3PpMTZZ5tSt7lntkDFOKj365LGKV/vqv3jzG18nFpbaP7dptvn/LcD3Hz4AmJe0Fu+vzjQH9IY6rwNxfrPLoiWpxnb6W5Dk6eEM3ORgNyWGds/JAe9sP5uyNlm5M3bsc2UAz2owskxext5aZ3UnEs+Trn7DF1QCN/OkFiTUqw7czXrIZLPP3GSLhw/0+KUPTPPcyVl2TAlm6iVpUtHUK65+pVqJqQYhnjfk7PIUnhIoaVJbrggyk0QSx4qtU5Y4jmhHlbRTxtAfJHQGkmpPUfE9fK+Cpye4fEfMv/9Hi/z8++Gh5zeRGOkAnliiOEmZ3DAMDJVQMvBVLsE8DzydOldKulyAJJUpuEScKI5hmTSsTTPBJmX1TB6myaEsW5wkpZ+bQnIWwLb5SpykwHadR2n8ldbFxIml3evxmTseqd543baXSCm/Hhz/dgH+yU99nuMnG7Wl+d/xd01GVCs1jDGpJHDVeXEKrCQpgJ4vYdIxdaLJwT4K7EyG2BzoNpMj2fMX+GxSFEVUUroEUwZuJWXaKJHJE6h4EPiGasVSDZx+rlUjmrWQyXqf2akWjx0e8Ivvm+KZk3Nsm1TM1Q0TVUGjIqlVFLWqoFpxF4dL9Yc8tF/QHfhUFOlF5la1rAkhMYIo1tQriluu6vDwc016kZMp/WFCr6/oBIrAV/ien+rnSa7YafiNH13gZ/4QHti/ichIImPSZumiB3PoSwLfOPb2ijp6rbI7qUwpZJxMs7wbgTxLCtkM4Cngk9x5YcOV16SxlDFjq3YWUyXFz1wdTKrHY8Ha0gp/9akP+f/43T9Ve+ShO3ovfsnr/9cD/NSpM+zYvn3y45/4xB94ZvoVnd6am7mtLTY9HO6AWaSUTntny5ZMD4LOljQwSmzM2iVAmxzYRVMw1o7qbuEKioQs9XGm4HYAd21vnnZM5nu4TiA/LbAKEqqpvGhUh0w0+kw12jx5ZMgvvm+Kp05sYsukZq5mmKhCvSKoVxW1qqKWs3dCJYhp1Abc/ZTPWqvC1FSRJs8AY1JtGiWKTTOK176oy92PGtdFE5oSyCUVT1LxNJ720bqKlIYrdlp+/UcX+Jk/tDxwcBOR0URpBaAre3VMHkQyry70tUTrtAhLCpTOjg3558suwkyqiKwqjSIhNH43pUdjSo/5yltara0tgb0gtzgpXseJK/JSUhBIy8KFiVc89dxz73/dt731J86cPrm2Y+fu/7UAj/tnOHPiws/o5MT3rHZ6eMJHp6MLrHIMkEiLNG5pTmS6XKniCk+MwCjyq95NaMpkCDl7jwSS48ydIj3LyOXaWxarSKa7s4pBrXD1Gdriea6xuOIbKn5CtRJTq0TUK0MatQHTEy0ePzTkZ/9wliePbWbTpMemWsJEzabgTtm74qrjqoGhEsTUgpDYDOmEAUJJvIzBcw0uUnZLC8Qij7o/cOUCYYWpDOSDhJ7vGDzwpauJ19kGtJar91je8xMX+Ne/b3jgwGYioxkmgjAxKYsLKpEh8Cy+53pXdRp3aOVKhF0boDtOTqaI0grojmp+YZZjnTFw5yRUIqYyuIu4KgV5Qk5qiSklApPCHRNALZAsXFjh3oePfk998qmjYRT9/P9SBn/84GmW/R27g8XfuWa2fhRvzmKsTIHmgktpUvY0OLdE2lyTZY5Ivoyl2s3ky3b5gIkSUxRZSVteMzPWLgeV2XKb1rioNJjSOu0MSouQsurBipekujmiWhky1ewxUe/w0P6Yn3vvLE8c28zchGaumjBRsTRScFcrzk7MwF0NEip+TLMesv+E5a7H6/hS4imTBnGFR5Et31GiiI3mVTdEXHJRl6OnqszVKPochwm9QcrCWqF10cYnhOWq3fAbP7bEz/+h4d7n5hhEVZcMiy21tIY78HAg19nqZVKJIpEqyVc4JUUJ4KIEctbplQLkdhTgeYVisfJutDKX6/NzXJQs4cwliw10B3D3o2fo2Yeuec8v/uDusH/kpF+95G8f4Bfmz7NpdmLPbV946D95w8W3XjS5iDUTDEOds68xAmmks5/SZdjI1P6z5fLV9Uta5g/b3NMec0nWuSUpc4+DW1ikKrKlLqmUsra2+NrgeYbAMwR+TMWPqQQhtcqQ6Ykeq50e9zwLv/HnW3j6yCyzKbgnq5ZGVVCviNwrd86LceztO4BXgyFhkjDoV6god5FJIUYq+bJEigs0tdPyesgwtPQjUQK4wfcTfE/jeRKtVN6rmmUhr90r+I2fWOU//kXMAwdmONdqMqhLJhNLI7ZU0okDgWdT7z9zUmzO3plUEXlBnMjjGEqfW5SOv01PSraqFuAelZSumpM8d5FdAI7sSo6ZZYTZMxIYRoLz7T43q+W3Lp97NLGVl/6L+QsLJ7Zs3vS3C/BTp0+ztFS9uXXh8NuHq2fYdXXF9Ut6CTJJkwFSoHK7LwsmRT4kMmNrkwLdLdc2PQCidGBGNV9xG1WF2Ulw4x7K2j8Fdz4cyJXFetqkYyaSHNyBn4J7usviap9f/1CNTz04x1J3irkJyVwlBXfF6e5aGlhWA0ktsCmDO+1dCUIg5M4nfVYjn5mAkXpsxOgKlSSu+aEZaF5zfY+HDoZ0ooCJvGPd4A9drbqvHcC1sijpIaRL0GDh8p2S3/5nbT77UJ9f/cBmzixN0Z/UTPqCRmyoxRBEbvSyr9xAIy8LNKXIg+DssRyoly9MIfJekfz8wJiELAO7FD+NxFblILTM6GUtn6/2gnqgOH74GA89tvPtF12y6UPDYe/E3yqDD/p9gkrl0meeeuifi8EBts3U6Q3itKbadeckpsh8qVKjQZJ205js9znbF1lIm1qAZWkywtplWZIe6IxZijET7rnKAK4sWjpga+XA7ekE30vwvZiKHxH4EY1qH6173P1Uwvs/1+T2+zYRmiabmoLZipMlzgLMfHKV3kXK3GX2jtB6yP3PT9ILNVtr2ecZZ/Di2ESxouIpXnJFn9g4gPcj4brWs871oXHBoRYpi7sLWaTJdYtgdlLwPa/u0gjO8YHP9bnn+Rnmoyq9iqQZW+raOpDrNA5RNo1L0uI3mR1DUdSOS5AULD6+o2AuVbIRFYzq8nIcVQa2zdh7DND53+V+uzvPEwG013xuv+N5vnf6sn/+spfd+kS/1zv8N5l7+HUBbs1zHH3+Dqq1xjbTP/LKLZMXqFYUUrqUL7gWS2WLGoY8vWtKDknpdyNyJNPaFFq7AHbJeijbV8KOSZMsK+cqBt1oN5PWfKfgVq4WI/AifD+i4oXUagN8v8ef36H5zT/dxNHFabygwpaGYDpIaAaWegD1tMO+GrhsZyVNCLn6lSRdCZw8WWondEMfXyl8afMAk9JXyS7srHYjjD2q3oAtk33Weg36kUjHrblYwfOS1OZTqd2pHMBHAldX+fjWl3e56cpFfuPPBnz4C3OsxHV6gUfdkzS1q8EJNPiKvBlCZ0mfdOUraveLBFCZVEbFShnojKzAo2Ava3NeANxFPJbZkNl7dkPBUweXmbvnuVeeWwq3ra61Dz/05GFect3XLqv9ugAfhobdV1y/Z7D21HsHi/ewY7MhMV7KpEUBUbluYbSGQRSBZOl3xX+THZAyuMWYNMnAbQs2SbNvsgxwaVHSzVYpmDtJQR7jaydJAn9I4PU5cSHmjz5b55P3znDswhTNmsd0BaaChEZg09R7Bm6ZglvmSaFKqr0D3104zfqQT9yvOXyySiWdwJW3i1GgPB/jYJ0Oj2LN5bvhO27q8P7Pz9CtaZrp7JEgTOMGZdBaphO+KIHcK7GRWxV2zUp+7vt7XLP3DH94+zTH5idYiav0PE1dCWop0H1p3YWTukz56ldqShEinRCZ9XUKyMqyijW1tNJmpRO5b77eUrRlOZLVEo0zPQXRRQIGEfQjzUe+9Bw/c9nF733Da29408Jy5+tKla8J8PmlIUHg86d//fCOxfMHL7517xn2bp6k1Q3SRt7shI0CNyvOsRnAU3DntQ2l6bFl9s5YoGCFjLbtiA7MgC3SSVhSZgA3qWuSsXeCp2PXuaNjgmCIr4d0kpDfu83nA5/dwtnlSYyqMj2hmPYtE76hljJ3LU/fy7ROJZUmqXeeg9t32cthFHL4TEA3DJgKUhcnn69InugpJ3viRBJFmmZds3dHiAoGdMIGfV9QjdxYND+VV14qUXTmegj1AsGrYm6ix4+/tcfbXzXPBz7b5o8+NsNSv05fV6hoRU0LqsrV3/tpt4+SIs1ukq6GdmMmZwO5Mu6wAHZDgJdYeh2bixzYBfG557EVLPUkm4Nz7J16+OJdU2LH7h2vPmFtHyGq/2MAb60tYZPm3N7N+rYnH7zP23mzQKmYii9IrCudtCVpUoBcpCPRRPGFTPl3oqg9HmFsgd3wk9iSHWhzYI/Ik1QyKeUGCGmdoFWC70VU/BDfC2kNQu5/WvLndzT52L0zDJIGvu8z4wsmfUPdt9QCS80vwF0JJEEgCVJp4hJDqTORAtz3XObz+HnLPY/VCCOPoG7XBZjZrUhnu1LUMFJ4nua1N3X4yJe7HDxTp19xoxmGnsWPwYsMXmhQSjrfWrqBpPlwH4rjmRhJbCS1QLN5ss+//u4eV+wa8uE7Gjy6f4LFfp2B8vE8TUULqhKCbMBSZq9Kmw49pQTy0ZqV8eKsMqNnBFVm4rLGNmOAH72P/iyxgqEVDCwstmo8+OQj3r4rXnvblGq9aDhsLf4PM/gle5ry9MmjNw+X7pl49+sEVa9CbCyeF6HGWsOyxzKQ3c9lSWuPlmJmsiSvRS4x+Ejhj+vRcUyep5RNXu7pdLdFq8QBXCW5HNE6otWNuO9ZwZ98vskdj0+w0mogqxUaVcWkZ2n6hppnqfmWqk/K2o65q4Gk4isqvqDik1bomRTchsBz+lvpIYfOwNlWxSVWUn07mjgp6mdcH2RaSmokYajZ3BRcurPPM6diepHHMJ3x7Yc48Klssm6WqAE51plTuFSp/Elcffi7XtvnDS9e5StPdPjgF5o8ur/JcqdGS/p0fY2vBL4UBBLXwyktWmRxTTqFICuk24DB19WvjDN5BuYy0NkIzORFddk9RhAZiAW0h3X+6JOawfD+iTe93rv50ksu/TxfY3jQ1wT4oHMumKiHv7+pfqher7guDa1il7XkBcC8jsllKYAUeYf7CMAZkyT5UStLk2IwZ7HDg0k1t3HTsGSCn7kZMmKxE3P3Y5rP3dfgU/dMsNCuIyoVvIZHU8OE5zp5qh6p7ICqL9K7TEtOU93tC4KMvTOA6xjfj6n4IdZG3Pl4wMnzVWanBZ5Ma3My222M7fLy01RS9IceuzcLXnt9j08+GNKNPPqRoOK5flU/hmFkS6uUyv1qhByRKe4ui0YF4/z2ajDkXa/u8203LfPX93b47H017n66wUKrRl/49H2N9hRaCNdCKCWesKnUsihESRqO2ocbkPkIc2ePFrGOrRMLCSmY05/FaaCZJ5CwYF0dzVrP5/P3n6nf/BL7+0eOX7gC6P93A3y5begn/e/rrN4zuWfrYaQk3UXYjALWyhzIZuxnuXRBuOUqDyZFDmYH9JJNkh6i8jIoSsAWwqR2oEFkswx1gq8jKpWIwTDh4Fk4cU7x0S9N8PlHmyys1sGroJseNSVpeJaGNlQ9S9WDiufAXfHcTEJXZipLd5H+3qYgNznIfc+1px09Z3jmeACely7ztpSiFyMoKAdhSdrdEidunPPVe4dcuaPLgbM1+hVBLRYEkWWoSK09k7J35qZkFmShVXKfPbNpjUqnD3gMQo9qdcgPvnHIW25Z44uPdfnLL9c4ca7CgbM1wrWAONAMtEaqdKovoNPHjMlz6UIR/K9j8rKbkgE7Y20Kxk7yn6eAJktpZ+2HRYo7ihULA0l7/xqPPP00czNf2yp8QYCvrrVEGIU/9YcfOTR50WzCjZcMuXFf5CJ4LTCRJIxSHU5Jj+M6PyjLFiRFur28PUlxIMqHRojiUWTdJhlrC5Pu8pAQBG6SapwkzC/Dl76qOXqmyl0PVzm7WuXouToEAaqmqWhFXVvq2jgXwXOD8yueG9fmQJzdZXpXKcBJNXcKbi8h8Bx7uwsr5Pgi7D9Rw5Oj9mAuUSjqwfMgKk+CpX2NsceVu/tcuqnHs8dierFHIxIMNfixmwmoSgCXUiCkHGHyjCkLC07kwWzWRxklHkPPp1kN+QevH/Lya9qcXW1z5yM+x04HfPHxGueWKyR9DyM1ka8QUrqVIu3Kl6QZT8hlS0ZI485KJstGstQU2c78qiTrqU3vGLAJhBYii/ASpDa8eF/ITRfHvGjnvbNveOO/+Oc/NjjxHl3Zs2H49oIA/9BHbieMEz76+S7t/k72zK1x1Z4er7qhz5V7Y7ZNxVy8J0FZSRLJkSXRsbQssXwG6EJ7F0ehHFhmiRw7xtwlKaISvCAhSizHTgueOab40sM1nj3u8/zxKu1hwDAMwPNRTY9ACWoKatpQLfnAgc7qNLKyWVcXHqSyxPcVvi/TC8AW2ttLXGbRczq/4kdYE3JhRTK0AVpLfGnRJZttjMBzkCd2tN8xjD0EmrnpEKkGdCOPnhbO6YiKgjGtzEgGUmYmNUA27AiBNbJg8tJgJC9R+fiJ3tBny1TIrs0RN1w0pB/2+YfHWzx7wudLD1V45niFY6cqRLGCQGGlAiFJZCkblNP3C2gVMfbFRwA99mhKAI8MGsPFe0O2T8VcvmfIq24MuXK3Zeu0T3+wWl849dD3IPR7/rsY/OShT3HybFe99y+OioqA+bjBU8cVzxytcsfDQya8iF3bQ66+POT1Nw55zfUh2ARPQ7VusTb90kYQp+DPAslMrow1SKW1U+7LC+nqRhAGIS1RaOkNHKOfOCP5izsCepHiyecrHDkdsNT1GSY+aB+Uh2oqfCmoKqgpS0XhxpmptPBIOdb2PeGSHmVwexI/lSWBD4FP6pq4lLmnDb4XpxnRiGolZGE14UsPNGh1AqYmhBvmn2UG5frznp9rUwoIjWQ4VMzOKN5wy4AvPtrnVKtO35NOpmjwYosXZZ516rHLxNmFlGedyPw9jNWl93BA9xNFohWx58Y+RJHnrFQvou5HvPzqmJdcMeRtrxxw6LTkqf0e/VDx4S/VOD7vgZD0+pokVFn5JlZnAB+zjDKAjwA7o3WDSCzCWGwqR6p1l5ATGF5z/ZDX3zjkqn0hu7cnNLVgpq6I44B2t0Z/ENBunRSn21eqD370c/EPfveb/2YAl8KyZ0ft95TfurYfW6RWUKlgEsFiT7OYxBxfTnjg2YTbvhwzNxVhjeX6y0Le9bpB2lRqmZswXHd1SL2SrjhW5EvY+nMu8uE8rZ7gqac1y21JtSJ5eL/HZ+6tMIgUg0hxft7HCE1kPYzwQGtEoNFS4itBRVoqKbADZQmUdTXgOvV8dcHcftaXmYNbpT2aImdv3zP4flagleTs7fsRSoV89QnFJx9soHzt7LYR/f3CDJ554UmSOR6KwcDjLbf2+dT9bT585wTduEI91eFepsOjLClj824hIWQOMPdWsqT1SwA36XQp7Zjc04pYa3ScOKCrBKXcIP2pSsyt+2Ju2RdhxZB3vLrHIHLj3D59b8Aj+32qgWCprXjqWZ92T6YqSWx4hoskgJMm9YrhuutCZicTVxueWN71ugHXXRphDcxNWqanLAqJRZHEmt7ATTSLEoVWIWcuLF/b1Y3fAzbcMmIdwK1dAyaayfL79/XiRXWhWyVSCoQCGTgPySYYkzA0CRdaCRfW3JJy6JThM191V6JNDBNThpuvDWlUXU3whunJ8mWeug5rXcWjz/i0WwqppZuJYrVjJqFxc4E1SI2UEk8KB2ZpCaTBlw4IvgJfFTP6HMhF0fCgXSNA1nhcBrdj+LSs1ssYPCndYwIdYW3I2SWfcFghmJD4adpbZd1N5SymoCCvUmIs7043ijDymGoods6G+GJAPw7ox4KqdkMwsxqSLKGlZLm8Vebv5d4jNQCMKRJwxqQ9k4U0iuMkzRuodP+jmChOUJHLJWiVIGXMjlmTrhiGK3YNCG0fqQ2tluDRZzRrPYnKFctoUF0mc6yrC69XLC+5NmJiymBjt7JXlEADBok1iiRSREa5xKJxx8gkEiUN0xMtYol68kR/3//zr9/efNkt/fa+vaNJn3UAPze/AGL1PdHioVd3uysYU0Fkc/WUAivdciIzrVQM3ImtoWXT/WGUpb1mOf/VsjO6EcDL+i09OUJgsqGFpDWnQhVBjpSplZWBOk07S9KNWzPfuPSo0056Rbr1Hjm4XVuXwk/B7WvyElPH4CmLa4OfZkc9LyIIIk4vGf7si3XQPp4URYCZyxOxjsHL/nA2JNSBzQ3WCSOPd7+hz1/f3ef5Cw26iUctdpvSuirAYoCSUFlOoBzsZaWLmRSSpQKv7G7yWhitFV7i5qV4KdCVLJJmrm48fS5MOjgoQQuLsAmzNcO3v8yASPLyDUS2f4Zdf75zSAis0ZioiM+SSBLlF2Zqd1rnBLnufvc7hCOdJFrmzMkDrz5z9sR7NMk/+boM/sv/5QsIIf3z82s8dmwG7Xv46fZ0zqsUxFZhrHKDdjIxSdnWKfRWMrKbsx37vqUzLwSZ6VQOXoSUeQuaEuAJl1YOhKsW9KR7rSVpTUXaPZ4VEmlKc1BId2YruuoLgMtctgS+zVvafN+UBufEeCl7+zpCypCT84LFdgWhNYFkRJ7k6fmShTbiKJRKG4pAUBHGHjPNIbu39DkwP6SfaAYJBInASyxenOrwmNxZKg6jGulUyFwqZ+NmDQaiJI0MOjEkSqJ0tn25SovVknS/pOIupEGlIBfZe2PGrFxb2qXaOWAFBPJi51QxZOAu50bK9rNIHbpy5tx9xb6VvGjPkM1TT6P7wpd2fb5nHcCPHbmAFHDkVBVCjy2VogIsLmeXrCCy6ZyMLJlT0lcji9PXkiZCuGU1W8pzCyrzXEEL8ITFEyloUwmQPc9/lpJ9UQpK3mDrK+HAPgJu6R79DOhZ8JmCO+v+0SaXKJ52+tT3I2IiPnt/lQuLVbwJhV+u4Sg7KIwp0pIGL1deZkmfwdBNsH3zS7vc//SAdlyhpzXV2BCm6XQli4KorOBMCEPROZQFmiI/f846TGeqWEiUe09tBLES6ESmu9i5Wp44BXqRTDN5gk2mu+KVcxMjAM8L4zJG3/j023I+JMtoI0bYOntuyrmV1C0KvBp7N/ksLyxvWOgxAvDPfPYO6vXqyz7x6btuirsRrZ5hEAvCROQj05Ks3sEaDFlKVeQZqDwJxAuLkuz7Zt6wTB9V9igsGnKrTaUpYzffpNC4KgO2dPvJZ6MQysDO56AoXD/iRgDPAs5Md+tMlthUb4/WkvtehO+FzLcMjx+pgvbRqTzRpQKlLNsnxhDuWKpUdZf3pcrcE48ij+svGTIz2ae1WqMXK2oKvNh9F5VYd4/KAMeBPH8jOVapKdK+SZerMMqQGIFnBImSJMqQKEGcgrxcvJaVQ8gM5BmoSxOyBI7Vi5LmnKfX166UL/a8ZCOD6GjdUtlqTozEpCOyo1gxGGo6/QAZbLpp295XvOypx77jvhfd+JqNAa6VwSTht09PyOvqQYSxCjFwjBTFAi3cJk4ZyC02zz5lGarspGX8/UKquwxwt7swI8ydjVxTJZBnjKWz2oi0Bjwr9XTNxVmnipMlKu9eKYCdNd869k41tybX25kl6Bi7ALeXVydGCCJuvzfg/mcbyEDjS+Hmb+cVhEUbXVHxN57NzKotMxZ3QVRiFP2Bxy1X9fmOl3f4o9sbhElAN5FUEsswJl25ylV/JpVzZuyCeiEmB6Nl3mmVgTtREqWMY3Qp09ESplSKXK4BsgXIN2DwQjaVUDAiV8aOSc7mpVKQTLKUSq8zEghDRXfgs7AsIBDX1WcH354k0X0bMng8OIIK6m/Y/+Sd31/Ty9QqHr3QjfpKrIB0/JhKuzHKWamiIrA0Rm3c5B8DOCVwZwCQJVBIipqH8miDjLndFiTZa1IGJ2/DGmHxtBvGU6PgduMUxpg77dn00/Y2T2cNB3HpHhES8Zd3NklsgMqzl+UAs+hrzJyNEQ3OWLuekW6URpIFmxqBx7te0+NDnx2yZiL6SYV+IvBichaX0iJjkRedObtwXItKCmuyVAtiBIlOxzioFOTa9dPqROaj9pSSafZY5qXJhUVZru4sypjzppQS0F94PS+QUe4HKK88o+PjUqsznZEYxh77jy/TYvn7v/2Nr73rmUOnv3jNZTtHAb7SUvi+vKTVTi4+t7jCUsdnGLl/3A2vBGkticP6CFu7R1u4Ay+E6Iy1UyO8LE9yoI+VZ+ZafExzFmOYi9keSolCi6cVdyPDblJgayUKJyW3A13HvWtMtilzFwGmLrF34IU8fkRy+FwFqzyUlPjSoMfrNEoCfNxFye55+94YQyWJIoo9Lt4WceVFXR48VCVSPv1YUJHgJRYdi1S+pV04carDkU4ujLylKLG4KEmjrKs9c1dcvYsDd9rOpmwJ3FktkE3LBDImJ189RAnciGxi1teQKWX4j9QoFRdlufTaWYaOQAI/Yctsn6NnV4gHw4srMrkkUeaL6xh8bW0eoapM1M6zMlzl0PwcM1U3ODLbKFXgyCEH9AjAx69RsdHHH5EmOYuXgV4Ct8prvgvbrZAswnXPiwLcLsgUebe4zsEtRwBeHv7juu3JgZ1nK3PmTvC1S+y4rqAIS8Rf3VljebmKCLTz3csX4XgNSvmQlI6XMaOsOuJNG0UUaWanJe98bYfHjzQZJhV6yqeaOC2elbMqSQrubK0wqSeeFeY6FmecFdNpB+WpVO4uUSZbkWz+PBvmpDINLjNsZNJEFs0R4ww+NtxTZCw35pKX2xWLgq1ymXVRei2FpV6J2bapzbOnupxaWqHbPUu7M8j/xRzg/+I/fBRQSFZ49mgTY1T+5lnBvrRg1QuAetwBHHtVPsmF9h57LAO6zOIj48UKxpZlBleixOKZXJEoPQpwX6cDgLxs68A0w6ktXp6KN+nzZOSulevcef4k3HZHg6H0UVKl2cvRC3E8g7nx5V5yUsp9rCmDx4kmSDTvfP2AP/l8j6ePVYmUR09K/MSk7pFAJrZ0nKxrLxPltTTtnR3bt6jM5IkBnVuIbrS1SksCVGKLYZ35XBaRX9DxmB4v6ojG64rGAb4Bi5dKpstNMNaUgtF8ZEgmhRSvvd6y2L2TweITiLiQaBrg1Kmz7Ny5rfajP/37ex943KDDAVN1m05lKn0wWz4x4x9k41t2nY5+uaLEsqy9X1iiiBw44+OQZYmxsyAzm9qkdbbJa6q91Ri4s/S9lzUmGzczJG8Ry3o64/QeobyQw2c1ndAHpVN5YsfKY8cv3FGEjw40GvPC026cIvGjqXuCfdsHPH04JDEBfeNTSVzNtk41uBJupp9LLGVsaciCzILJyx6zA47OB5u6n6l0aJM2pB1EFmmKCQHZdK0k6+7PDYAiuMwDz5zURrX4uvqcDRggX/NtIV9G+F4AsWStXcH3JLtnAyrB5Xsvuvlf1dZW/n1vcnqrA/jZc/O0Wq3Xv+SKmZ85efBpkmrWSlZ68zGGzjT3SGHg2AccAXX+Rcsgd/mcMhAKYBd9jKrEimpkqGYGcooaaVUCdf48TfIoUi/cgdsBuBgK5JXlSZm9VdrX6YesdAz/5eMNlvsVROCSYFlyp2hREyMgf8GLP685EmmOrMzgzlGJY02zpvnJ7+rwlcebLA99QqnpS4mf9lAWIx9SBk/rekh1cVZGazEpuM1ICXPWeKDTaVNZkJ6BXUmRMriTREnuopDLlEKHF+2EhUzJ2DY7Hnb02Gx0kMYVQZlcS/9BBAyGmsQEDCPBjr17fubMqcP3xVH/ryFl8EOHDhL4PsuLZ5mdsK7oJyzmNZuN3vTrBcTjgC6/HmO3QoOLAuRyXKKMDqbJgS0FUhXjx1QJ1FpKdCpJdA7wTHObPKj0tMnB7ems/mKUvT0V4fshH73T47mjVZAeUkqCrDS2ZG3me8SnX/IFqwkp2Dxv3SrJlNjIdJMnj6sv7vHWl7f5k89XMDqgL30CKfKkj5KCqBTQjTO5KDN5OV9RbhZXbvyHljadb0M+29GxuqAYK1HMoikm07o+TiFHAZ45YmViYwTw/x23kpGREUIcC/qhYmUtoW/O0er5RJHbGEID7NwaEAQ+w17AuTMeqx3nbYPACJuzeVl3v9CFl/8uix9yHVoanJCCgbHZguXlPWv3ytk8Z8ivB3BZAFyVaqh1WpfikUsRTxVuiVcaDlRobsfennZTq1Zbhk9/tcFSK4BK6p6IUjD2AhIl+57lk5SDfNy2yyzDLKGRKKJYM9VUfOere3zq/gHL3YBQafqJTO1Jkbo3omjGlgVbZsC2tuj6MTmbF82/OnNWVPo8nQZs0vHX2XEvg1xIUeq+z4Z4pro71+OjbE66yowS4FiN6cZPc2KA8nQwQaenmF+yREqgapIodN9Vry49gRdM71mdf+CnwtWDHJ+RLLVsLjGkFLk3n/vbY8gWY89tdmK/FnMjRhh8hL1HDlaaOBkB9ujs73KHixvuzii4s50NMuZWJeZex+DZuIli5IRWLnN5/ITg0MkKhgAhdd6cW1QPluMHUXI1igNSrkUpTlhpaFI+PF4W7WaJBqu5fHfIxVsHLB+oYhPfsXjiZIouuThFcFcu9MpqhmT+GZwuEqXgE4wUuXVYjm2UcReNkaTaOzsvBRnl4DYiZ+0C3Flrnc3LCQqZYteTwAuw+6hMLoJOpWC1K3n4wVO8bXb3T731Dbc++cRzz53Qy2sVlPa29DreG84vnODA2TkWViv4Xv6+I0Fm3sS9QVCwzjEY19yiDHKR7ygwMrR+RJ6IkjMhSsFmAWjH4KSjgMs+ePmebmmtyuAugTzdr95LS0Mz9lbpa60jlIr47IMNDi9VwS/kiVeyLkcuWNaPi1h3snL2HPN6y7ubZWW0oeai2ZA339LjkedrYDzixGlxL0nzFMmoVMqBlbNSZhtKl5Qrj/XInsv0uUxXFZnd3bFP0hVDipTVTbbC2pyY8oSPzI5D1lI33pVvR1b3UVAXtvLIE1EyF1PM+drQmEm4el+XJ0+HVH35hoo0W5qBOKE9bfB8Q1ckPHzEct9+xeaaZUJavHSakRRjb/4C1te4U0IK5OxvN3YXRO6BjwdoGaDFBsDO2VyJUhNuCdzpfMJi2w7WA1sXA4LyEW/apCCPnTxREdVayIMHFX/91Tr9gQ81jZYCT4xKk/HPX16xNgQ4Y/p7zDIs++JRrJloaN72qgGfv7/Hwwd9bN2jnwT4gvxCU/n7F+xZWldzkNsRKBUzbKxybJ6k4/hMibWzoN6kwaU0oqS/RSnQTUnKiDzRk61iQmQjQLJV3I7iZfT/1mVBy8cz+46eZ2jWIl66rcWBM0OsiOiHbny0PnAqZHpywJful3zws9PMNDy0NPnxkCVdWX7v0megvLis+7u/oTyRGzzPpYgoQC1VafcGJdLalALcBcizslmL1sUIZZ1uwqTVKNC9nK3dXSkXYPp+SBQmfP6BGs+fqoHnIaRKQZXODSkFl0KOXcjlFax0rory0LT5dmTMXbZtn8w98STRhKHmil0xb3xpl6dOVBnGPon06BuFnzD2WUrgYT3I7dhnQWUXm8Eokc6aBCsFVrkcSKbH8xVVgjSlWYamWDXkeDwyTm45PkqOzwsQ5TpFkB1rQKRaL04giav86Js7zOxq0Wh0aFY66A/82efwtGZxuc22iSrNqhuhoFWRUBnRyYyDe/TNRwEu1oNbbATyEsBLgC5YvNiBoJAmJaswZ+wM4MXk1FyipMztGNvmTK3zx+K5lwaXWkUEfsizJwVfvL9Gr+9D3UOKrHKQkj24QRazdMzKRyurRSGd9TE6SH4s4VMqwAojj0Yj5I23DvnU3QOeOhaA9hkYiZ9qcWVAJZldl36GhFwekIxlELPEnXUrXy5dpGPzbFXJgnxjHdilKRJtwpTdlPS8mhKzl+OCXIuXceE+Tzm7PUqm7jOXf2/SoBrc1uiDoWalXaPib2V44nnU2bNYE6M7q0vuv4hjtk05tyHzmsubJ4kNrrANwTz2+7JUGQX5+te5HMmDynEGd3q7nM1UKq0wTJNSrp0rfa7L88HHwJ3evWwKbVrgr1Xs7jrC8yJim3D7fVXuebYKFQ3SNTR7pRLekdLY8r38YiOJYkt3snJW8mbkJCsPLQF9OPB45dU93vyyHs+drBDHHlYo+kLjJeSfSSQFixcfYWMmL9cTKZUxt2Nz99rt3JHp8Nzvzxg9W21TBs+HdgqxMXuPvC7p8BKeyjIkuxLEGLakyOaMOzdlGEmk0FT7EVqvYq1F79jkIaVgGEK3m418WC8ryiDlbwj2caCPRM/CzZ7ONo0aPSBjwB6RKuU0femuxsCtSnddbIKaAdorgTpzTpxj4h6VivC9iCdPSG67swH4ID2EUHkXkUo3Ui1nXcuOUK4jcxFXsqBG/NzxmenpPXGte84OU3n63lrNu17T50sPDHj0qJskEBlFLxFpwVcKusQW7DiyhhSfxVrrWLwE9Oy3KgW9kel+PllQnGlvmbK5cI/5OTTFwM5y8J3PGs/YPGPvcemSAVsU8neU9d33Ssb+e2sVSWJRnSpKeVgMetucj5SC/hBWlCaM3C5X2WT+8uo6rp/WRb9f64JIP2wesI7p7kKqiDRZUFhPGcDzOXllkKetacVmU25nh2IAfgHuEdYuPWaNtZlUUSrG82KiJOauh6s8c6QKngfSBZe+sKXJseXAanQTp1HyHoWWLT3JGyBKNSIj1YWJxKjUUUk0w9DjqosHvPJmx+L9xLH4UPgMDOhEFPIgyezClLWS0kVGcY7HrctsUzFpBcrisp9WIKzACpBWFFIll5aU2Ds9ryWwj2atxTo8jQ72LIC7HuDFVxAlgohiQX9gSWw2YUCid2xxxUntriSONN2eIRQm3xO+XNddvJkoTlnJ+hnXSUVGrdBdeYZt7OduSlN5j5ix+hNBvvdOvntx1nw70vBQbF2i1Bi4S0Pxc/dEJShdAngqUXwdcfi84IOfbzCMPKh5qTwhb01T5V2CMzmWy7IxzbJOn4wCvSxTypsDGLuRFtfUA8kPvLHH7ffUOXjWXXyJUfQS5aoMkzT5g3DnKEnHcoytJDYDegng0hZaXKYaXRqLTc+RlcIB3JRipYzJTWYQjMqRjNlzHJTBTsHW6xTBhuRZiiHINhNw+/msdS3dQZwmKi16tf5tmyvx8V/Q6il8TzFQoIz7pdyouIXRNxoFewF+WdJVo9KkALYsg3xEe49W5o0XWclS7YfK2bsEbJkFl6Pgzmb7FXo7fS5Nob3T4DK0MZ+4s86Th6uu3UdolHCZS53WYJebi8syhdKJ/Zq3EQ1eWIXFIFPjgD0CcokxmnDgcf2lfb7rNV1+5899+kaD0URC0jcuRpAmJZMkixEc2N2ZySRKqkXSgBebbQnpVhVlwabet7UF+DNwS5uSkR1dxTLJkmtlMQr4HOwbAHuddTguiUfkn3N3YuOclCiGdrfHD3/flb9w6yt3/5hu2vnJKOy/6cJSRK+viBNTyIuScFunudMXG4O+/GHLUfP4NnWjr/OlrgyckTpwO6K9c6CXJIkqaW+V7/RQ2ohK2TFJklUKJjm4PR1x6JzkI1+p4eavOPbOO/ez9xeMjBeWpZMhSsdElF/ksmRU92bFVkVRf2mjgAzYVmISRaJSLZ5ovvu1PT55V439ZzyQIVZIBomHJq0XyY51klJVkiV+MuYuSSfrXls3gSb/bDK9CKV1TS/SFiCW1r2HNak/btIAdSSfMQr2jV218s/FBqydqoVRfI+EzJ6CZk3S61sWFu2bnnqkPalv3tdl/7EOn7+zy2S1SuCLfFeCERekrIlKgB3V3ON/Ny5NRv9dOXYQyvptpAY8TSaU95EpNHixVWDG4moM3G4iq0kfnR2olEFlfreKUTJGpQyeqJjP3Fdn/+FCe0shnfedd9Cw4QkUjL8urXAFcZeejzYgj3jipYlU2ghXmyKLFH4Yaa64ZMhbXtbl6EcCwkSB0CRC0xcCnaT2HVmgmwGkvMTbIgRO9ZK1AmVTRsdJk5zNs7uwRYpfgJEO+CaTKSUfvAz2spuS51fKgN8A2C9ocqTyJiND7Vsmm5ZdW9Y4vdDn2EKM/tQDMSfPJBw5Y7liZ9p3p4vMoSz941//zQSsA3RZqpSCTbn+yhbjzD3G2tnrjLUzsGfMnQNdlZm80N0qCyJlSZrIYmi+UgmeF3HsvOK/faLJQHpkE7SKrvl0BSnXQJclycgS9zXUSZZgydPkji5H5q2bsgYXI/UpidHEiUeQxPyTt3f5+F01jp7ToKJUqnj0hUBl8iTV43mwOQbyzJu3gC711loEMpMtZKydeeJmhM2NcBeUkQJhi9VjvZmQAv9rsDil340ohDHwZ9WLUrpMdaOasHtrzObta+jAQweyykRQYXNT5kmdLCU+6gqUEhYvAO4X9r1Lz0ei7NHnZWCLMdbOEimj4DaFRJGjDK5H/O1MZ5f1d+kuHYt7OqQdGv7oU03OLgSgdGoNylSe2BHfO38+fqLGL/KvBfSyVMkbD8o9mlkKX+b3vBlCunl92+eG/OhbO/zGB31akZt6ZK1kaJSzDZOi0IlEUNiGBciL/3e/UelVaC0pcztWz9jcWld/kjO4decpHTrl1FjO4ButdmMJnzHZMkqmY6Av/Z3NCFS6izJJBIsrTaqTs9TEDLrmQT2AiZrb2cDTRU11OZtYvOF4pCs2vrpKoM5rETJwswG4ZVmilFnbloLNUtuUKAO6xOTapIxucmni5IhZJ1WUivNHrSJ0EPGx2wPe+1dNhsZz8kSoXJ7kTcVjltiI7s4v9jKsN4Z4eT5SYRWO1Ttbme4MbPLsZnlOX2w0FR3z4+/ocuikzwc+47Q4KBIhGRjXuykTcgYvCrCyk1Wk7st2pQN3IVmsTdlcFIVijnSssw9HEj9OxmTvlbln49q8YGrBODtvZA2OsncK8vT4CQE9KTDGZ6bvIT2N1umk1UZNUqsqvHSruixzOM7K+enaIDDY6AoTsK5rZ0R3l6VJXpFW6O4iyEy36C5vGaiKYielTEmqZCAuMbksqgNHH+PU945YWYWPf6XG6jADtwO4J5321mJUnox81owMSnguVrwxxrYFuHMntuSgFPKEYksYM1YnLiXKKIzRxIlmwk94++t6fPK+GssdBTICo4hwejzv9hGFFh+9ADdmcpcHKpJCWX1KFmzalMVzQGc63DLG2Nm98OUzsCOEK+LdAEsbGhzpz7KVId8O3AgSo4giySCUVGKJnmpqTKSZmfCpVHR6osQIK1kxerLyzNwGV9aog7Ie2HIjkG8EbDEqTUbYW66XJMXPyuBORli7YO6MtQv29moxt3+1wsPPVDEl7e2aGjJ5Mlpvkrdmldh7xCIs/W5jEk/Zs2QVlrfBLjdDlPceTax0Gw+kvniceGgT85KrQ77jxT3+7LM+qBCExArB0GiUEG5yGKUM4khJakmTl3xwlfVIZDo8q52RpUIx6XIm5fNnrcOQlRtjYFSWpGDPj6Fdj7ES8DdKAAkBoXCLV9tK5tYkRkr0zKRCGsWmaYWQamR32jLrlE/S+D9e/vm6qHgc1OkXcttEl2SJLAAzyt42twjzjUpLAJfKotMRY1Kmjom0qa7OwJ0Ujok0xW5s0rkngRdx9JTkg7c3mO/4br9r6Qa9K0GxY8NYvLBOd48Rwzh7j99GEj0lZh/ZQ7QUbNqRrnu3f457dNufbK4n/OB3dLnvmYCjFySICFAYJAMhS5tIQbmMdtRbLmRS/v95NjM9D2U2F+55BuZMtmQrs/tdNvvdkaORBYsXkm6cwUsVhiKDe2ZhjwMzO27uMw2GCXOrCUYa9EwzQZmEuSlDmLgRbUniKL9cCDRyvr4G0DeUKNnStI65S5o71+Lre/2Uyl6PgTyfkT3+PMmHRuYJHVnS3TJBp7ag70cME8MffLTJPY9XXbWZ1E57S+m6dkQxfyX/rNnKMv5dx5i8fNzKWF+fwSxci2KP93L5bLmM1rWbmcxRSQyx1KhY88obQn7sXW1+6Q98hrF05rCRxKmr4mq0s8+WVemV2cy1pFH6fO51ad6kTbvr0ySQCzBFfgFYQS5TjCg1QNgU1DbDgygIb0zilo9fXu4r1h/DDNjGWJLEEiWWdidkpRUj/RjteW5jpWY9YRgZBkNJGGeTjtIERLF4rVs2xpeJURZfD+rR12VpUrC3yiVLJktMKci06xhcpcydTUAdCS5lIUt0OuM6Dy5ljOfH3PmoxyfvqTEMPajqXHvn7C3XD/VZVxJbkiVlQJezdOP0XS5syvcJHQE36RyaEnvbYp64NE6qZECPY021FvP2V/a5454+X3pUOdsQCUISCU2fUuWjddq3LFfcbjOjmtzdS3UpKTNbCSr9ftnrTJpkQM/OrxWlykZBujX4CzH4WHls9knSvy0OYeY4peCOLcPQ0OkbhpElji3aU2633sl6THfgpUM1JaSVaFaMMnj5trEOH63rXSdPMvDmX9SuDypTCaNGZEoaZGZz8URJe+dANiXmLgG9NMw9197STYld61puv6/GwfMVJ02EK4kVmfYWlCZI2XXgzlee/AIvA/pr6JPsJFnyFPlI+WxZqowlfsbrxaVUSJMgjSYaai7bEvEdL+/y8H6fVpimX43T4yGKbB+IUXCXNHjOmy65k1+QqRWn0pa2gs0zqZImfERaQ54DXYyRnfPJx1d5Sscwn4Qlxo+iHXlmU4DHiSWMDP2Bpd1zO9LFiUCjW1Rrq2yeXePcYkB3KBHpkoxwwUT5ny2fu+w342b8ej/YXX3rgWE3CDJHZ26UwSwEI8GlzAezZyC3Y+BOdyYoPWbg9nSMIeFPP1vlvZ9oYIV2vvcIe1No7xFrcD3QKZ2gMvtsiPGSLBlhyRH9XcxlH29lM1na3hhM4oKpJHG7MkSJh1SGH39bjyPnPN77SU0UFyA3CIZCokw2SCJb/ksgz0Gd6gzcIlD8ONPhFEAXDsgy+89EKlVSvzzT1tl5H82dlOenlOKCEomWQ+ECj8Uxyh4HEZxrGdaimGkRof/si02qssPepqXiCaIoG41cDkY2OFfjzE1xorOkwkZOSsbOoxJlVJ4UI3nLmy25uRvjjonMwK3G5cnonvUq3XvGafAIz484Mi/55F11ul0Pqmo9e+c13yVnRxQJnhFZNvY8A/nX4/CRDTHKYKc8cDKtMEybDnKgywzoEiOdFpdSE0UJjXrM217V4/P3VjlyPk0quLCeRAj6qU8hBAiTgtsWYLc5qFO3hDT5k53n3EnJUveOvVUKUls6325HBsfiWSVrWZaUs+Uj7WuifCxLOCwFlhnahcjGZMPluyLe/rKQKy6J0K+6qsbZ81M89ORmdm/VRQ12CZwbeZHl5wW47SiLly6SceYeYfERa9Dm48BUicWziaZKucGPxWD2kv4ubbchS7JEytQxSZlc65hhZLjjoTpfeSKtFpSeA/gYe+cOjhAjwbAg+/yj6ecM4eLrIXuU0EeBXrob42y4Ytt0txWJ092mkClGkgiJSiRGKKKh5nXXhbzuJX1Of85jaGRqa0i3vSOagcBVHJIGckLkNohNh+Go/Axnjkp6rQhy4CNEQfZpAGlFGniKEgYoth8pY8LmAeZoPXihnsbmGo4QrPs7Ld2GYo2aYPP0JO3uLM8dm0O/7Oada1+9f/D51a76e3rBMDOpqfgur79uGR5ZLca32y5AX9biTncX+ltSLPGipLuLZb+YP10AOwN6sctA2TmRcr3edjZhUnoeI6Xr1JF+zN2P+vzmH0+QWF04J1IhhHT7AIkiLT/K4CWQSzZk779BErNAdsaAjMsUOyJXDNnUq7QYSxSOSq7JpfPGhdHEscH3E372h9ocPKO5+xGJ8UUKWfcFIqPoUw7cipJZlCg2mU+/SOGFp6tt9nnT1TbT4SJN2RuKURIyXdVtRgqUj2E5bss4e32PZoG/wiPPhg8pJaj4iukJyfZNIFT180O2rannz850H31m/ijW/FjNN1QqKp/AWt45YXTC68bPi6Aw09KisP3KTkQWLKpCUxeVgWULsJTIKQWUeUFV2TXJpUoyIlV0nrUsei3PrAh+84MT3PdE3W3KI/20JNZDS0FVQiBJN7kabS5ef08boPMhOaPDiFTa7iXVWMN06fgVr0Xpoh8tCSgH4Zl8y/MJZalX/p2F2ZmYQFseftpnrV+qLUjDzGyKeFFxmILMjjoWX/9qLV0I2eVSWpHc69GtbUYSXNn1NXLhC8o26ritmgsYIdKZ74pGFXZvk2yZmP/BIHnuoN612fVhCqtS5l4PbvECS0T5K2e+6mhavjRtVJSZu5zqLv+sGKZeZnA5rrkzFi+7J6WdwPJspcx87zh/nvgJH/zUBH/91Tq2ku3/6fS3kHKk37Lob/waHfO5ZMm0yYbnfL1/u57IC5kCI4Hm6PzCNMhM5wfalLmtNUWNipBIo0iERvYT3v7qPs8f83jP+zRhEI8ES9Z4DEmz1ybVD0maraGoD8++hyXNbqbsnhG+TVnbpjLDpqydSRTH7LbUCFFuZywHmaOsXcr5rDueIg1sEa6jJ44NvYHk7ELAaldjEovePOO77JKRKDGkHlj8TKJkQBw3CsdO2LoU/UiAWXo+Buwc4GMjeEf2gMkALVKAj+0ZU9yTEtDL4E6Qec1JwpceCfjjz9UZJOkUfJFZg2nWUtgR7b1han4sRlnvGm0gVV6A/Wwa3GXe87qMJnZdCa2VpcymLDkrQrnCLJkWZ0lDYjSBZ/ihN3d54CmfLz0hU80rM42IsZqhcdWjZCAfAbdjdGSpjFYIVCo5RkCeNT1krkqus51RM6LJBWnyZ73EzfIo40Q6ckRFFjbYfHUw1imDas/tP6Q3T7s/Nm4XKXzP1VHnwxvzwYRj7Wv5/21gE1K2gkZtQDEC7IzVbYnBR3W4kz1jzJ0/bsDiZfaWSRFg6ojeEH71/RMcOxtgdbFb8oj2ziTSCLDHAM0GYC4WzI2Wtg1BPr4rxmhGs1x8Vdbj62tTjEwrDmWZxRUiMQihkaHhou0R/+aHWzzw0wGdQYYMmX+uBM0gW/ZlZosU1qGVgElBbckdFpUGlFaSb5NqRabDbVojPgb0MkmMFVmtj/U2BndhW1uilIzCyNIfJMQmJPDdRa4v3tNESsVw0KbbbiHy4YMlzVQqvtnoll0Io0HnelCXmVuMyZEM6KMSxZSSPCZn8lFwZ05JyffOdudNPW+tI+IE/uvHGjxxoOI8b5kxd+GceGJUligxytqiDPYx5k5Tg5SHbm58WsT6H5Xrf3JQUxQzWVfMtK7aUDgGz4NOIx3IE4kR6T1JpYoxXH95xE/+/Rb/6aOThEnK4pBHhQmKocm0eCpTSiBHugBXiVKlikiTPqbE5hK31U16rJAlq7BEFnb8ONpRi3DjOMCO6PDRUhJLkhj8aoWaP4GNY/SNN78RL6izeO4pjj7/aRCBm7mcyHSr55IPm0YB65i8RFR5OrYUHa8D9gaaewTgIxJldH/Ggr2Tki4vyZKRexpYVhK+/FDABz7WoNX3nAeYet4IhRAidU6KrGW5YKisw4vRbBvMIBw5HaII2jagHjv6chTvI0AvQD7K2tlUWJuCvyxVnI2YSIW0xtWrxIpmxfAj7+jx2HMBdzyooBaTF44ASEFsJAMyYBUgz+WKyGxL53ln6sUKkWc6rSkAnMkXV1xnU5kyOkxqROIVCiln6HX5pyz5le8pZInTfYZ6/Yjv/I6bePmt17LW6qCV0kjpEfiC6eYAISzDSDGMFGGkkLFyc99EmWVEngjK7cKRDzq6AdFGwB6N+ossZRnYG4HcPSbr/G6tEvfflKoEpYyROubACc1/u63JkWXfRc+ipL3TikEvnXWSOxsbBZWMnRBKwC7ryBdaV0vMNF6LUrB4kVjJGyHYKI3PCNjzQixr8k1lRSZVhHVSJbJcPB3zT97Z4cS85vBZgdVlgSVAeiQpyBkDOWkSSKUXg9PrGcDTz5qvZCn4x/V3Ceg5SdgxohjR4aOkUM4PxMYSxRDGMIgEw0TQ6UmM0AS+h/Y8dFCJ8HxDWw+QeplNUxV6gyprnWp6tThWQKZd3qkcKZ+wsiSBMsBLUqVsXwm7Lsgc31RUllyTPMBMZYnbs3E8mWPSKkEnTaSM8YOY+ZbgV9/X5JN31rCeKtLxX4O9i7rv9bmAMrg3SuqUT1Rx5Y8CfoS1x8Ce/Wx9TUpZh2eAtnmG02Y6PGVwKbLnafApDHFi8KRzVVpDyc/8tuLCmoCgTLcCi86ZfBzkGXsXrI3bv6cM9NQeTqV6Fp8W0oX10lWkV0oG+Lx6oKQOspjFpHu1xokDd2coWewJ2lFCxRsS2ph+6NL2utJIAOZPL5svfuzeTW/YObvIq6+NqVfdNsn5G9gicMRuMPZ2jLGhYOxCoow+Hw8qhRhn7pJjIgwyy1hmAC9lKqVMkCpOn7takxDDZ+6v8+VHammticqBPcrexa7B5XmDZb24riy2pMXLq9c4c+fgH9ciL8BMI2WzpNq23GiQMrdM3RQ3T8V13guRJn5SZ0XKUs2KlIi04jDQlte/eMBbXtrjQ59XhLFwaducxd2/G1vBwJRALgQ6Q2Gqyd2OKA6NBcDTzyvKSSDyoUBZAV/G3OOuSgbuHFulMKB8vMBJlNZQIIIh337DIrdcVWf31uEXF9rBfBy1Ub/8y3/A1LZXri2vVNeeO1r9vvd/qs2ebX0u3aZodWqEkXI7HZf05chM6CzZsGH/ZDk7WS53TZ+rcuHUWJdObgUWnreU65m73BGf624dk0jDp+6p8n+/d4Lj54O0iaFI6LiaE0EgoSLdIHudjoHLZouvHy6U2YfFYP58yq0AKSX5tipidEi/m9QlRxM3mVM3fi8HtOUa9FI8UyTYXAo8L2iSG684GVqEAIxluplwxSURpxcUh09pjC1dzaWlyArhut/z818sTyMBYGkZS/NEI8vXhrFGhtmxpIAt/xGF0THiqqTyJk4Eq/2E1960xM+9c8Alu29m6+zWfzUhDz90y0te4/boueWKIYEPs0GPA0cEH7trjqkgoOYHebd0saFQmaXNCGOvd03KeySWgkk5ahHme60LClkywuRJKdAsOyeZDZjp7rRS0Es4viT5wMfrHDwSQEPlbkme2JEylyZ5nyVjtenjzF0Gmcy+tygOeFmVbMjkxVnaKNnjWNuMJXwKF0Xm7sFo+l4Kt/uvFDb3xkWqz4UodLgUWVe+JhpaLr8o5ofe1uGRZ3xOLMpS1VP6f6lrEkuRW4g2DTgz/ZDLkXQ3tmzVyVg7u8t0GXR15aPHMndTUiWU6/UUO+745ZcXIl1wpBL4WrBtE7zr5XDsnM/jxxU7d0AUu7/XANdccwnNWo1e0qZWO0S/XeeZIz57t0kaVbcxqlZjmqkkOYrAazy4LDsnL+B7CxBlMJd9b2Hy5xuBuwg0E5Rw0kTrhJWO4Hc+1OSuJ6tFlWAO7EKa+JKxMchFl44qg3mDaL98sMflyQvFly90K1fFjVQVjthhGXiE85czmSJK4C9lOqWwGGERxq20mW0ohHKXkTAkPcOrrx/yz97d5t+/X7Laz5bolIINaeGVIkYwEIWDkhVkWQnKlAHvDooVqXde/mrGAdWKbBhRAewc7CUdnj/KEoWLorzB14JaVbFnW0DNm2U5XGXHrjl27LqCKOq6rwLQnNgC1Wvu+Myd7d8MmOCSLSCFZBgK4qSouRGM1mkX9Scb2XulZI0q12+XEjiipLFHspJZ1rKQJWoduF2GsvxcqZiBsPzBJ+q872MNOlFaSJUBPNXdQrgxw5lzUi6qKkfx49nLEaYuB5Ol0zgyLuJvgPTx7vqReo1xt6VkF5a3PimCzvHJtI6xs/a2bICnsdngIE1Dw4+9o8OPv71D1cRgEsgebQwmAhtjjSW2MDQQGkFonEaP07mASfo8SV9nHUmJdfei8z3rFiu2EC92mRt9TMZem1KjcDZZOPBcJ/2hUw2a1a1cs2vlNy++7rI7du3cAqTVkL/8f/8nuqEf2Ti6dLJqvnOiZplqampVS8Uvb/1RSAyVy4xySrt8ARQblKoRKTJeGVjeB91QDi4Lt8SOlb6aNPGT5HagUjHCMzxzxOfX/niCUwtBkYrP5guqtNdSCCoyZXCZ6e5Ce2d2YdGHWS6KGiuWyounxmaYi2yuTKq9ZbH1yjq9XRqwNKLBpciPcTn7W/jxpdIHGCm8GmkPy1ZbsrHKTgy5chPXsrhpKuG+Zz0uLErHvOOeZ3pFm1yTl67gLGgUo/Nrc59wTIrlF7YQL5g8HGH+Im2ZPhRb1+h0xEmcCCxNTOJ96PyBe+9/zWvfDJT2qv+hd7+VIAh4/LEHObT/SZp1SzWw6a6/xSiG8QOY1QyUa0+KcWbu7/OyxrIMEXYDaeJ+VqTnU5Cn1qAsZykz5yQLLL2Ep495/ORvTPHM4QDryUKWZNo7Ze98zoksW4MvkJr/GjJlJMzKrK7ixd+UxEfEeDnw2riFLa23SN2LYhpWuguDcBeSsdIt79ZirERmE7Osc1OEsCTGgrCI0HLtJRG/9zNr/NivCZ45kgYnmceX1suABaOJM62ezl6zmRZI7cJMouQ+OKlkSY9jdr1Yk6mhdNSbHJMmhXnjpEtqNZJ26ofCooYJUsJgaNh78TVc8+KXMRgMgJ8eBfimuWmCoMrsdIXFZkKzIaj4hsBP8DJwy0Jzj9SgrNPfY5532SpMA8rRIqsyg5uSDneW4AuBW4k4BbehYyW//4k6T+4PSNRYMietNwGJFhRTqihkSNEuVwKwtKOAzhITY8RWHJNRjf71ED4+mqOMcFvu0xz5eRaMblAzbt04YxdcOqDb1BdPUo1shEzPUarHjSXBoIXl+iuG/OO3dfnZ/+TRiQV4ZAMHcz3u/pEC5FlcAHYkm6nLxWPZEMJSsZYsHRoXXApMmjga0eelYyMyKSPIcwDGWBKTIIgxeDSb0yjVy49rDnClNEr7RyYa1aNbNgUX+6rnqgpVkgeHGzFPoUXtyHK4Uc1J5nOvd0/KiR2T/52SG4BbJMjsrhK0l9Az8IFP1rnty3WGGZhlmb2dHydTYvKEpTyhasOs5Qs5KBRHPn+eLdgjYBZjj1+XvEf87xwcJR1uIB9lXB4M5Oa4pyBPnROZAl5YgTASIYwLNq10Db9WugCUlM0Tiy8s73xdj/0nNR/4RINuhDtgJmNo8vKVDOR5vGBScKdBMBIkbthQ3vJmihmCefJHFNeNQDgQ5574GMJt4UMJAUNp8WLoDQwzU1V8v3q0UvGORFEO6wLgc5u2ceLAp7+4dZP/YRXW/k2vvYDnKWTqTY3P6CjXDa3LXKae7KgcKQN/fSpeio0YPCnp8KTkqhR1Jp0QPnB7nV97X5OFVc/NARHlwDK7iyKpI0Az3qFTtjlLWrbENhum7MdYe+R34muDOz9plhFrsOykkIG+zOA5WxeJH2FSxmZUshQyRmJNNkEqZW/hJIwwEoEmTixbZmJ+4YdbYOGPP9OgE6UM8AIgT4QglGMgRxRypdTXCeR7Z+b24RhZlqVf7p7b4hhkAWu2+gkBJomZ2zqLUY0P/+Wn7v3ij7z7O9YDHKBaEUjlf3Z6cvjWiWBwnZQJFkkUScJIE8U6LcKSuTTL+WqctcfrTcrMXWby1A4UI0B3jC2ESeWIKfne2SzvBFmx/PVna/z6+5rMZ+CW47pbMZKxLCejRGEHlj3vjb1vMQLecQdFpAz03+0RjjO4ZcQ2zKQKMKbFS0MyU7tuBOgpEYmcxR2zO9uQ9NEWYLfWzTIcWrZOJfzCj7RZbis+fLuESgZusR7kaBJTjJHIJv5YXDBqjVstM2M7rxOX2TcmL7HNiETmX1+M5AMSC1ECYSzoJZJB7H7uKc22vn7SD6qfHUSjJ2AE4Jv3vIULz/3YffWKeDSWreuk6GGsplENaHcbdAdpSjhdivITW/bES0FjWYOvCzJzdi98blEOKHO2Hgd3mtgJDEfOaP7s9jrnF3znd68DtmtkyBIDnij21imXwo4El9n3KbMx4y9Sdh7T339DVZKD+Wv+vlR4le1Nua53M38UuTTIgZ3pcCMwiDTJU5ImoixRUjil2jYOLVtnE9797V0eeMrj6FkfgvSDZeDOv4AAFMYIwoyx0y1UskmkWSmtykCLLQ0HH5W/2fUzQibp2xkLUSJYCyXLgwSlBhgTU1E1jq8OHv13f3THfc//9S+9MMABVqKdeErw2x+JeeZoDy0NP/CGNq+7bkBv4LsPXD47rtXwiwAAMN5JREFUWWNDibnLsmRckogRYBtGkztlYI9KElnKVCrfcPSc5t/+3iR3PlaBiizALYvhPVltaxZY5v2VokjmbKS/180glIUv/kKVhHkqfOzkjNevbOSSZECxGVOXAFy8Xl+b74DvLgCRBpgbFWWJUq2KSxJJt0dOagi4sRHKjQ5PIZgMYl5744Bf+ckWv/h7Exw777ugMwN59mVzJlZYJKFJg8DUXbGZHSJHQJPrchdwloV2weDjKQWRfv9uZHjLLfP8w9e3wQoWO7M8fe5ypDA8/9ejeF4HcNl4N9LT4Wrn45w6dYhBIvnwlwNecVWHYegRRm7fxkx+ZB93NHC0o5JjxDFxckSN/83XBHdaCitjlGc4saD5d/9tgtvuqBGKtImUcc2t1geWomhk2LgJo6SnNwBnfqDLTsmY9n7BW/mXY/Rd9nrt+O/SCqa8ZJb0dalOnAz0pcymKLN4GexGIkQWgMpCqqTz/TLJgrFUtOVd39YjMfCL/3WCkwsBeIn7MuuYPPsukjh7ke7XY0krUVOJ4qShyMmxmDmdpeWLVzmxSIuU7qKueSHf/5qEq3ZO0xtorrr0cv7e33tbiIn5rZ//l18b4Mrfycym4Ke//RWXXNmw86+eX+oyUZ3kmSMTaKXyncuUNI4wx9L3Xw/cuXNS+ptMZ7ufm3XM7WRKhNaGk4uan/3dCT72pRqhTHd+LUuSEc+bog1tRJq8QNUgY8FmCbkjUqXkmozIk/KV8D9xK49SHslqMsr6GeAzBt9oMq3NTYEC8CJtVXMhqcwTP06mKIRxUI1ii6cSvvcNfbSCn/vdSU4u+sUEoHVMvhHI17N3yfgjlyspyEUqycpEIkvzIZtV2Drjsby0g4e6isg0uPra6796yeye/7e9L4+XrKjv/VbVWXq9t+9+78zcgdkZZtiGRRhZjICIYEISDElE86KRGCNqzMOnUQP6sqA+NzQmmghGzMJjeYRFI4si+zIgIjLMxswAs9996eWcU1Xvj6o6p87pvnfuwIwDJvX59O3u0+ec2336W7/+1ve3fQyoIjtYdsNXv/xXuOhtbwo627y1PnnpeI/VqOAeoigPh9F01GDGLZ/ySGZjTlIxJTLDry1wazkwUUuE8lY6ArtHKT7x9XbcdHcBAWOxZzKhJEkKGqjSvH2KuHGr3V/Hbo0Sd0yz+nDaXkVT0iHp9mZ5Hkm6BXmcf0hNAwHLgxk/z5zb0CCS/N/m/2+2KcuXjS4k8TlkEzVKfo1MYJgVMGd5PFMT2YKiA4mjlkbo7RR49BkXU1WSmujNEWZEA52YgseZuZ/NfEoOSwGbJN5k1wFyHkF7kWBhr4+c72PrTo4dwz4fHFx2zwtbt968ZMmKJoBTtBiEAFPVsQ+Mh7Wf16JJBKFEEBHUA9VNlovExZpOIm4Rz03SJR2SrBvLUmtwx3SEGMutuTfj4A7wT7eXcNNdBQSMpsHdJAsm1KQ5iWEWjyWSxWWr8hApa96SwsQr0AMSUwwnN8eka4DY3DsjF+rtItbBbe5tvWZtU9n41IpfScq/SVOOOe4HpOJWBKdwIuAdb6nivW+fhsO5qtMgI0ByK24lSrZJCSlVKlldAHVB0BAEoYC+kThOJZIklv+SmJq0FGhA7us2O54j0VaexKIjpn9erY1+IEvtzHBabTzltF/DFX/zr5zzY+WGLU9hyTwKx0mmtKkrl8SWiCZKwlIOHbPAtPczTp1ELaEWVVFezAiUCcAhuPvhHG64u4BGKxmQpvVuWzWxe7encistHk6RWEgbtKnydQm+recJoM1dU5jsXMCtd2z1HTUlQsjEMlLDvVP7Ke+ecupox0lKOkTs/DHBYVIQCGg/uZQggsXsA1D8F0LC4wKXnFvFuucd3PVIQYWZ2G57Uy+F6DcHByDqfwbxPhZF0coPJdZ2veaAjpC0GzKYa8m5RD0AjltSxqmnLpeMjfDK4MVzBzgAfPDSs1Cv12/4v/Tl5SIYLRZzEr4jwZwkwz1b1dVOCp4LuI2XkjKhvZOW55JEoC4HdYA7HszjY19rx/qtvk4YZjPcFEoZbbbesd6NjHvest5NtU4MQFOLTxI/hwVoG8iZ9efM4M64MVMyIDIauM3JU04f1fxJ7WonKBulRS04Yx4ee0DVIlPonpaI41ZkzMHVpFWABwBGIqxeHOBLHxnHFRT4/kMFgEWIayynnEAG6Oq7MSCXWZBrq8m1Y0XVo1fLS6q/ExNVGHEgDCWqdY6hMYJd4/OmA++8G3w/N+M1pjO9cMTC+XJoz8ZrTj9l+XBfp0C5wJHPcfiugOdkq7baxTBnudlyoAlxpRrcdgIDiUAdBe7bHsjj419vw/ptGtwtHTkJuClRala6BISx4JlYE8xMNxIAp+NPWqklTYAmMWZnQfcs27PBVynUw1pEpvdJLTBFhrKItHTY8l4o+mIoShxma6iKYBABw8qFET53+QQuPKOqUNdEV8xN0xahPDJCAqEEAgGEkiDSz1XYrXoeSRVOGxkqw5X2HURAEEnUAompGsfuoQbybYuGH1/33DWdXQMzXuoZLTgArFi+HPXaBKaGn0QQVJHzBPJ+BN+L4LmRijKkPI71JrFKYrnls1Y7pZZw/bodc6JoCXGA2x7M4y/+rg2/eCGXgDsFaAd2rAmhsIrWNzt1Wllvuh+ww9qetdwpC5+9eAfAw5ukQctax8/j2BRbQyZpCqOzfEwV18R6G5VF0xco5w+BCsSCoJrp01gQEXHgK0u9MwBACKw+MsTf/OkEpATufLCA1K7GU9NkPikEKEIovu1SAlfLnyqASmcnUQnH/DIxZdHjnj5QcTPlUgELj1iCjkrbrNd2VoBXOnobu2tT7y+0LbhRjK4v5nMc+VwI31UAN8V30gFW6ZvtfjdAbwJ3XIVKSYLEAb7/cB6f+FobnrMtd2pRmQ2DRcod3zL81Y7BRrPVTi0gM2A3QE/uW0gOIJmn+4e4SVTJVrlKPbGdQZqbtKpdaFzbyvWd3UdHGVJVWiIFfMg4vFZovzmRVCW6CEVThIDyepq3EgDHHBnic5dPQEjgBw/nLVC3oCzWEKDajQ9Vhg7KTeRI9d1wSRARpZUzIeHq2idcf54CBJYvHZx2HPr++fP7G68Y4BOTk6K9a9ETR60mExueWl8sFxoo5AJ4rmoDomK91Y1YlEqBQ1gS4dzAzRiHYBT/+WgOV3zV0JIMJYk9lBneTZT1ZoaaYIbyD5AtKElraS2Wt+IJQNITIAV4pDfaI7Mtw0IyOyYuzJiekMxiU6Y1cjNREi7eIl4l9dhwcBmXBCG6ngqEMhbCrDKpCsai1GxLflkQAEcfGeILH5qAlAR3P5IDh0yDekbyQMH1JBBEhddyJJK5cfIQQuBEEj6TyEeqVITnenjruWdNrFxx5BPjExMCs4xZAd5e6Qal7lAwVbt46fIV9/HJe918XpUkNrOaC6oj1dLtRRVo0gvLFLj140QOFBCM4kfrfHz0y23YsL0FuAkDYDt0FGpjh06GmpjYkiZLjmbXfJPVth6jCfgZVBPEEXBNeJ4jT0kpISRNW2LXfgYztnRoAjwTMBsgm8UjiS00kbYDCEmCMoguL4E4ltW25GoisAT8ANAAjj4ixJf/bBwfjID71uXAwROkCjnjSs84hIRUhaWI9fmE/jBSl7GiRMKlFJ7kOPOME8Ox6ejitra2IT9XmPW60tleZMxDWN2ISteiHR09S14grkA1GsFkOInx+iQcZwp5vwbXCXSxnTTPTuJSRGyxzb3i2lGsokiH4O7HfVz+hXZs3OYnkYHZxSRN825KkgSGltSENlvvdM0TKyw2BW7LeqexbE3iNFc/UFDPDfAkAbdZWMZ6OElPDCOrgVj6t+HqzYtKVfrN3m4/N7q4vkkWtw+X+rHquswgGhTLB0N8/X+O4+xT6mBxH8rI0sd55pa08BNAvOAMpc7pFBFEVENejmFhaS/m5/ei192N+f3AmhOWvbB8+ZIdT/ziReR8d9br6OzvQhPC8O2bfri9v7v9fU88e8b9t/34MXieB9Fo4A/PG8Glb2nAdcwFURddHSdnXFAymiQtMFdAUODex3185IsVbHzJg2xluVstKomtd6uSYnE/eYuaNMmAsykoFkCbA6uQtuZZUBO1UJMtXpoJxPH9LJJL8+JS/YBLyHghBgN0s/CEJRkKxC237ewfSIDoX15hMumlKTlBk1iTmK4gSYGDwrDZhwTA8sEQX/noOD70ReBHj+WVpbcDtGY0pzRtvqUAohAFOoV3v2UEf3BeA/W6C85D9MxbhXLHnveJiee2M/Y27G/sF+BuYSl2DVXR35XftXvs0QempofPGN05hckq8M07Gc4/fQf6SiL9jWmA698/y1NpJEEdGehxvDjC8MjPcrjqW23Y+KLOpZwDuKEtsINEEkynn7XO0jGgjq33TEC3FpdmQ2LNDS3JWHSkj1fb5mDODc82T42zQ4M0jXSSoiGKn1s0RUpLfUirKcbCJ3q4VGqKpPqcAkmpPhHHr6h65FQDncWYNCCXeqsMgRULQ1zz0XFc+S2Bx57O4cVhD/C4BjmxQK5X/fFKInOdhEBvuYHLLmhg6fwShkaKYG4JPUeufSDfec4uYAqElPd7ael+9wAw0F3APT95YvOqI0rXfPC3jsKJ80P0VRio6wG6kAznTOulySlTGTxEgTuJ5+bYuMvFZ7/Rjg99oYIN2+cKboUgs6g0tCTWvJEBOixLjtagj6lHC3DbbvzWgVctgC6T7Tb4W2LbLKrM+jKrbdv3aMHD4zApywEEayIgG4CVcHOjlcfVgzMlJ6RpV6jXWEKvtwxdUZRG6+PazS8DihWDIb52xRg+/afjWDa/oWpNSE1ZhKYnsLsMq6tDiYoXUkWCVImPRsPDrr0d+OnzHdg5eSYm673XvLz18c1zATcwBwtuxvFHL0SpXH7CZ7Vb27yhi2768QbsmQoQ1HOo0gIaoRMDGcwq7JJKXtDWO8exeaeLz/5DG26+p4A6Zy107hbgpmnFxCwqDajjHkGW5k3ITFY8CTKKM3hiJJIW1pmkgZ2aERkYt1xt7mfImfdPpbPZQI4lEzRZc2W1k0VrOuJQg5shXoRK6IJBVFtyHVKrSivrX0xdYB+Q6rvStCOmK3rQCOircFx6fhW+K/GZb7Rjyw5PZQaBIM5XM+EB+jvy9Y0wggbxQL0COMawbiPB0PRRWFQ++tZi+4onMDU558s6JwsOAD29/ahOT25fdczJH37jGu/241ZwUJrDi7sHMDTWjmothyB09SJE9/2JlRTNt2kEx+PYstPFVf/QhpvvLaAOpkL+ZgW34eTEiu9W1MRk6bTsgqaft7TcmOk+E1iVUU9Ii1vT6rNpHNiqM6WaGBc2EvCazbbljq109nkm+cHWzIVtwVOLT52NL0wntyQoy1AYtS1tyblIFp9Rg8EXEhefXcOVfzKOxQsC5ZaMF54caoaoT8EA5ClQciS6fIHBssRgZx71II/twwTbh/O3n7DmxA8PDw9v7+vvmfO1nLMFB4Cu7n7c99D9L+b8k5/dOTL+9h5vB7a9nAeTDVTKDRSgaguqwBhpWW/d5cwX2LbXjZMVGoQptQSttG0b3DTmwIpzK2rSJAmSTIYOLAtuHqNZOQGQtvAZw2zTlaY0ExvsxAL8XJFMsrRDWeWYsmS5ORJuDSMHkozThzTHrqT1cZv+6EQJqlWY2GILEEoBKVRUiMXPE01ctLTkUhJQKiBDjpwr8DvnqJpwn/67dmzf7SkzTakGOwOkowwXlcg5AmVfolIAFvXkMLSvD+ev7Uax7+hnN2768Ysrlr/5gIzFAQEcAKaiQfid8z93/FEvLt5bDi9pBNOoNRwUciF8j6bCaONagixCBIHHf+7j728p4cZ7iggIU4SL2OB29MKDNoObJOBOp5pZ8dwkHe5qqMpsencCXAvo1rbUPmh+3DSy3GaOI5XRQ2Z4nVj0xAJ+eqIYNUTEfSttHq9r/cTgN9lZcWnm+EQUVApdzBOIO0FQtdhsBXKp490lEZBQ5UaikMB1OH7n7CogJL5xcxk/3ZBDg5uL7UD9VxZzcJcBeU9VGxuvDSJfWnHDsiVHfQ7Yc8DXdc4UxYwLz1qEHevvHV+2aOF7Fi8oPVgpEzgOt750U7BedxV2QzTA8Z3v53HRFV244Z6iSlZw7DjupNtCSuvOWG6VV5nRu00iQEY9acm9jXKSAXkT5Wii0lbLOwvk9kRIYXzWKKs5gD2+J+kNNthtryYy1hlpS22OSWvmzXHiIhWgldknS1dEEoylCvCweFuyEHXABUMUOnA4xSVn13DbF4bxBxdMoUgjgCcaeTo/FQgjYLoBDE96D3b3Ln/PM089PU7IqgO+lgdswQHg4t86Hy9vf7p6wsqzg5c33oCo0YgDrpKWIhH8XAN1wfHPdxTxqW+1Y2xK1wekGsiwLXiz+9223Da4Y2pCWwdNKfWkuXlUdj2YAjkB4kx5IE05MoDf73gFFtx46bOYTnkpAaWOEJni6S1pSgrM6rNlrXjssDQUhVjHQBXHhKYpFKqQfmy6U5Zcx3XHFbCg5EWdzSSJgJQUhHJ0lQSufv84HCrxz7e3YbpBAeIiYg5CHb4bcWC8KlFoK+PMXzsv2PgSra495ZxXAtVXBnAAGJh3JCDF4zmsPm3LhofzQKgsNxPwnBC+18DWvRK3PVjE317XgbFpVxfDZBYN0VpLCuCJzt3KcmfB3Spbp1VsibHehnbYyklKEmw1Aax9EtpCUsBvSnTY37rTHnKGbTZdMaXcrPManm1Pjth6kwTkRikh8Wl0Rj5sDq8pR1z3hIJCaBqidPGZQG4C66B3lcIU+SSQRFXVEpCgkkEKjvZChM/+0QR8R+L2BwQ2DzNw6qDBPERS1UhnnocTTj6ptnTJ4scZPWCi8eoBztwKRDT5yXLfeZJt3/tnjalf5CgTyPsBioUa1m2QuOraDvzkmRIa3FScSrJuFMBjxmxZbRqDaL/gRpKPaGfp2DVOUgtOpGlLjM4MQLOSYbJPOt5E3UjquCxeZ+PrKfVPxnJwGqwtntuLyTg+nFjhtESmJkjsxgfRISYyttImSCt2XFrWX0O6Bch1fIkGOdWuTmGSmbXVpkS3I9ReZyEV1+bCQTkX4a8um8Jb1jbwmW9zPLqeoU4ZApcAguOk1Uvq73nHGV9xffdTXW2zx5vMNl751ABAnbJ4YcNjV+WL/Z8vt/cHxVwN5eIUHt8g8bFvduKudZ1oyBLgFQGnCLA8wHyA+gB1kSqMaVvuFLhla1oCpDyR5sM0VaUCUtwbGZDbQG1aeFpAbpoITcBN4N4a0+mtzTHgyXaZeWFGl75MTxJpcZkkVtwKrALSHBwZOTH1epqrxy0KZ+LkkiYOIi0zcqGkQ84ZIs4QRi7CyEcQ+qg3CiDI45w1Ap/741GctnIYUa2KsbrE4ML5wREL+j5/7z0PXtXVVpg1WnB/4xVbcDPK+fGAk96r8+3twciQ+Ox1/8boLQ/14OkX2oCCD8qokpmsn8wZv/yW4EZLcNNW0mC2OmwGxECzytcyj7IF5zYgV9EmaSrT9FFIqxdmGIaGZChJ9jJJqQP0jMghCeLqlNI0WjWnIdpZQ2CahBtLT4xFN/HisCRJQWK/jmpJkslCy1hyKaRSWITQpdgoJJQziJhfERM3E+v5+k0SiUYo4QQ+TloR4CuXT+DG+xu4/YlFor2n97MD/f1f2r57NHi1+Hwly6GmsX3zd9HT4a/6wYM7f/buTz3NGqKEXM5R8p12+AhpIsYIwjgmIv0u5kpLSAbcTSoKbHUl/VqyzXqs3cOtYljigvXmsbW/eZ2ZshHULoJP4mMIMQ2psudD6jGLt+nPaj22GwskTQSk/t9J+WdmSlVnGu02lc/TtWoYgVVtLFONLFXTJlOKL64MnNS6MfsSImJvsZmMwkQnGrXGeAyISnUs5hqoh1U8uO03+O7JFcf5zvQvLvvdiw8Qic3jVVtwAKjJlch3ljaR/OAH3vUbnX9/7/1PUgiR4oxCEgRChSXUOEEDAG/xZuLqrzMsKE1UYEtwW4tHAFa4QAvKYb9myYDxIAnnzi4yEX85qd1bPt7vmM1FDxNrIlNc3Y68i7PNjeWXSYtHe39DfWI1RR8niIybWwkQUJuPI7WWTK5dHF1IYk5OqOLY6pqbdYChPbp9iineKlgiSer/MTpRQt/geeLNpxz9gfV7lm/qLe0+GNA8OAA/atnJeOipzcFvnnvat7dt2lqYXNHx5fWbd0NSN/6VigRQjwASmSqhJAVwu9qUyaNspZYYsKWqwtoLR4uWAGme3qyJzywbwtpuHsxIv2fa/gp+H+UsLyRliGXTMdlkiXixSBKlxaguBInSYuJQpD6T1FKLaY9JZQJy86EELMlFO/SEJGAx5THXSp9VqgVoxBmCyEEQKKBD/99GQ0I6CyCGuv/82FPO/vZxued5ueOUgwHNgwNwAHjjmqV4accu/ofvvGDLkQv7J//pe3eV9wxNIO+r0sUBB2hDFXyRXF9Ai6JYeooCM9IF6uOMeGToRVZFQWswZ+Oisrw8C96WNLoF8FNcvMV5DmRk6XhqI7H305q3Bm+s3hh0G05ttHGCOPfSgD528yt7qxWcRD6E0cGJ3kODnEgtjceSIawMIV1zUFp5uVB8H1DZ8vWGi2rdQxBSUCrhOgGo04G+RW+a7F9w4paJsb28vWPlwYLlwQM4AJSKeYyNTt9+9hkn/enwBP/KLbf9qBPhOPK+g1pDVccSUN1zOTeBNgrWuhpzkgU/g85tNGy7JuJMMmC6EVNrC5uUM2u23E30BC0AfFBWMbMMYq3V7BmQujcLzrQOTmRikZPXrSq2lpU3/4RY1lxZa5Vxb1RBQpA4c2DS4AhMehvAY6tucgIIkZA6jDqMHIxN+qg1GBgNMdBXwOIVvzZS7jnpIzyYuN315hYGO9dxUAHeUakAAPYMjV9/8YWnO51FfO7RRx/sadSn0AgkqlEDz+0BGo0QkFyZaVd3QJM0BWhTk87JgttEB1KbQzdbansCaJwk9KUF4LOWPzUk9JeVNdv66cEGecppk6gj9mvmob3OISRzLKBbghh8k3jhZ0pLqLAVrWvHFIg0vRFBSGyVDaenNKnmrZQyfbQ2Lg5LyotwzpDzBF7aU8DWnS6qdYKuzgqOGli7r3fw1P8VRdH1heL8g3whDzLAzejrbsfk5MR1bz13LS25o3+7c/tjPV2VGk6d3ovexwgIQkgpsG5zAVv3lnREIY2tsUlgMOA2wVQpi4xmcKdAiv3cbL7eglfErMA6oInGzCSKv4IJ0HIROcN+rQCdeg2WggiSWHJzHBL5UJLEAWRtjU8a1yQxl0FTH1U6W5lydXlEXKYZUBbccwO8PBTh6c0MkQCkDHDHIw2M7AvRXSZ46znL9h2xZO0nJqviurZy5VBA8dAAHADK5Tb8/Mk7vz3Ql+c5Vvzi2PiLnW9YNY1zTlRdeHOFaVx/dw1/fR3DvpoPMKbqYBjLTU2/yqTsWnM6mL63tpuJEFOOme5hLRtbWe2DwD1IdsboITOgnOuID5Mzn88+qZQJv44fG4XDnMakxkED3Sgwhp9reiMh9b76V4AousmkMCHrKkRWzyTX4RivRvj6jXlcd1cPWC4PCon2QoAjukdR6Fg+wuF/7Jbb7vrOu37vold9rWcahwzgAHDMiRfg5Z2b/iXftfjj//mvt3c++NRGnH+ah/7OGiptQzhuURVdhQD7ppS85BIJl6qbwxTIjRMnXsDNwIcTitKi/UjmeXa7AUwrfm1bLsPZgRaTzPrcBwLaWUeGY8dAtuhLMlFIooiQhGgYEBt1Azr+REl5BtrqExDIGKCIHTXQzhl7ukoVOSskJFXlgBQtpHCY2osxgbG6xDMvlFGrd2BhO8W8CsE5J1Vxygn9ky9PDFw+EUz/+4ff866DCbmmcUgBDgDdfUujej16L3PWL4Lv/uPTz+/InXg0RXdlGo1GoCopEdWcVXUelqpRq+k4TGJ62PTdmy8gS0lS1hpI83Nrx5aKCrIPzEJs/1Tj1Sgo+9PD4/NKo1KY17LLQqR4eGotasVlxd5LfebEKZN8mpj7iyyFMpNcgpnkZ6ji+YwLuIJBQtdF910U8wzzygKrFwAnr15ZP3551x+9rT9389RUJD78Sq7VAYxDDvAcI/Ifr/33h7raCo92DgzUCox9T4jncpRKOEyCUBX/naeAzyQ8BniOhMtMAqpMgy1etSMNCMuipoBGWgOP2OYZrU/Xyvo3nahpHBpZRVqgzQYattwfxggbamIWq0SDXb9ipDxrEWqmQSqW3IpXsWccJxKMKc8kIQCNJBzGwSOmE5UFpJQIeYQFg4vrxOu7tNzZf+sTvxjjp5x+ySG5VvZ4VcFWcx3ve8/vYvWiiN+57vdvWb60490LB3urQBXrtxOM1HLwXIaiI5F3VF8Y3wF8R8JzJDwX8By1Dk36xss5WdMUX2+hnqQsvn1sU3DKfv7RQRypiMEDOSbjvDReRPuN2kFUyXEktuKzfUgTsMU5RcgpgoghCK1b4KAROAhCdWsEPtp8huWDVUyJAN3zF1XdYv+73/b2tbf84L4Rfsrpv31wL9wMg736U8xtXP+9G/CD7xyJ5cdd/1yJnbB112h4zt/fGOZ+uq0DnSUHFU+i4EnkPAVu3wE8V/WXYrr1iP0F2gm4TWoKScedtMruocYNb16j9j4kPSEIQChp8RppcT+Xx+n3M1sG0ozBYzNsV9cj/f4T/BrN31KE9IMm/4H13EQPckHBOUEYUUSReszjUhIEKkqLxOfsbG/AcUOMNlaMl7qW/fE11++8QTYmcPllh95ym3HIKYo9Fq78Q9R2fQEXfWbg305fXXF7l/AvLRve2iWnRlH2KXKustguA1xG4DD1vQipklkJkZAh4hgMYQCOxNljf2ktgZB8zS3pSdaOzfZLcWjISHrEcmB2e8ym7W3NNMpQG2JRnFQIroSOT0l+FY2/AdZzEAXyMKIINLhN3AujEq5DwQUHj+uqcHi5QZx92vLhN55c/Gj3wu3/dgmdj89e8Xu/hKuWjF8qwAEgP3AFAOCf9ox/1/Uc59Y7H7r6ttvv7alNT8Bz1SrccwGPETiOsgZCACEXQIMgjGQMeK4jgExQlZwJ2PZ33oRga5OO5WgJ3FhFSR97aEYzeO33MBP/Tr231Mo0aaUdV8wyOrdE7M4350iiBtWJCEy+JhBGFPUGQxCSOGHZZQKeK8EFEEUU9QYgST8GKmftK/ae8fG8iL5LSPehulizjl86wM0Y7GvH1NT0tZf+5umku4S//c+7ftTz8q4xuMxB3qPIeQSum5QoaAQEnHOEVYJGBASRjs3WYaaEJlYqpZ4gkRnVdpICfTwMuGcD+QzjUOHcnngzSOrNx8QySvPnAxIjoJyXVmJy7KrXzjXTscPyToYRQxBSTFYZ6gHRvX8kfJcgn1MniaIQnHThyJVn7esYWPuJSOBaz68coiu0/3HYAA4ApVIRtWr12+e9+dSoVHC//K8339dRnRxBziMoFx3kfQbGDMBVUP3wdICdEy4YI3Cp1MpLEitug9uOATeqSZPK0grQM/EC+7iUKjwHkNue/jmCdbY3YNt4ezEdnzMl+5gYFGhJUb0gNFchKZAjjtF2HQ7HUY0O2ksSk9USRibzGJ0gaASqKL1DgXyOQoLDcwm6e7vROe9No/OOPPGKICT/XCzmDyJiDnwcVoADQL5QQCMIrz/ppDUjP1u/c0nBiz7/3LNPupUyRaWs6ErEgXqDYdF8gVOPH8UXb3bxwq52lIoO2j2hXPu6HrXdVzKJYSGtf74zm0jm3oxWgJkZmM1ubjmnGYBZz2jr0NL6tbFHln9n/6WR++KFpQ4lMRMkVdOGCbhOhJwfoKNcxQt7OK6/x0OOcOQ9iUYgEUUCrkdRyquqQatWnxh2VeTHlqw8fgtzvTsdx8fhHocd4ADge674+S823v7Od7zVe3H7lupAj/+Nsb3Pku62cdpRbmDrrhyEyKOvE1i1hKGtNISrvhth894e+IwoK460gmI3b6W2JZOWkyOD4hQOZfJzrl9uSWuyEqP5HwcK6NYLyWaaMuupDX+GsdTJeWPZUfsRjNfS1EolRKWfGTqiFo4cpXwdW/dU8env9mL9xhKOXRBhXpeDiVqEbbsF2vIEi+YXxRtOOUF29y/94IrlS76zZ+++YGD+skMFlwMavxQdfC7jmFXLUa8OBwvm918/f8Hio48/ZvAvj1/FsGdyN3780wAjE2pxWW/kcM4agve9fRRRFCAQiVWKs30o4FCi3f3p7sUk9bOd0Z2tRIHWo1kfJzPslfYKzjL2562Z+WlyCv3ZYzUp07IlOYFROICIU0ScIOKqsS/XBXyMLk4gwRiH7zXwrTsKuOeJCgoOA6MEHW0UZ64JUGobQZ11o2tg2V8ODi48utTWe/2mra8dcAOvEQtuxtKlywGgtnPTv2wcWHrs1bf8QHoPber/ZK22l0GqmodcEBBCUSmGgK6XZ+KVjV7uUALHsfVzJYNxAd2P0TQYTawc1c2QTFJuxvOTPDRPLXC3DtO2/9p7WeexHqf/lR3bbRQiqwZK6nTJZ4gb29K0M0yY/jyA1rMNHSFgVLcJgQCjFFzoWoXx+xEYm2aQYOpaStUnp7Ncxqf/aB7fOdnz15+89qKr/dL9/FOXrz3cEGoarymAmzFv2Tvxte/9C7/80vdfuWP3PufRhx/5890v/9zP+UPw3RCERJioqVITjmlIS5VTyGEqxNxzAMZITE+EDopWdbEBIWSSZ6jNLaUZvmzp7LZG3GpkQR5vm1HTS92lAU9anDsTIy4zx5vjSJwQbJWo0z9TXBBwDoScxn12KCVwdPoZpRKME3CelH8QgqItH0HKCNVAeTFzhXb0LlzTWHPyqV88vdR95c+ecnHcmvcdbti0HK9JgAPA5Ze+E2PjE2CEfPKcs99Eh/YccdquF26lufzkaXc9ETnX3tENx3HhUVOwUUUgeg6B5wCeS+A6SmaEBCKunEQhVJ/FiOuKT/qn3ODQNOKVaFZSEi9i674NSXxHVohJdOf0CZvvY6PcAuSxpBcHgiec2U7hY0SCsgTkqmIsQcgVNWkEFJFOiFU94AkglSToUInIYeDc5FD6eO/5k9i6ZwgjEyuiSkf+kQsu+HVx1IrFjzQi+cladQr5Qulww2XG8ZoFOABU2uMmn58Y2f0gFqx9W8+Lu4Y33vnUTyov7avDoaGKPmQSrgP4jlJdfI8g51G4DgVzVLh+FAlEnIMLqbrmcsBg2KFJOYo4Nk82O4yoZWaJbXKtkar+KqFDVzMTxbpvykgCmtYJiYZN4sL2JpDKwNxQFNVeXcYdqM1cCCKGMFJ8e7pOEIS67iNTOraZkFR7JRVHp5iuMixf2InPf2ieeGD90TftGe+77O512yZPPun4ww2POY3XNMDt4VfeCOKi2jkQXnPum7vcyP3Zyl17xi56/rnNoHkC32UK3K4Cd85jyPkMnkfhUKXZUiawbYigVleePVOuVzKFZkotPTgGWzaGxK6AlRDxWJHRPUNl3KDJ8Ir052kVN6OAnlY/YvVEmux2u/+ljM9NkNQrYUzAdQQ8R7VaJ1QiLwkc5mLLTgdjE1Jr2ASepzm5yaiiTIHeIxA8gF9ajgbpuvWo1ac8e+zJC74K1CYJOfZww2HO43UD8GKOAMA0gCvXPfcSzjh56RH3Pb4BzyzruWjTc89ChhPwHBe+S+F7DPkcQ6nAUMwDeV8i50l0VqoYCRv44WNt8DyGsiuRd3ROoa4zLqnlQLE8oaZoj3Ea2XmSdry1eq62xLW4kV4w2vHrLYOcrM8toSeL2S6sYzX9Mhk1ZrI4TIHb9yL4XgjfC5H3A3z/MRd3Pemhr6h/5XyGQk515CCEgBJV6F5wiWKxHe29a9DWu+zWfNsxH+HR5HZClh5uGBzweN0A3B4nHT2IrTuGt5/7xqOvmN/hX3/uqUs//MKWjWc+//wGTE1NwWEOCjmKtiLQ0RahUgrR2dbA/L5JLBocQRBN4/aHe9EoeOj0KSgRcHRIgNSrTANiA2xGkmpVZhhQJz3ik0hHSmUC7jjDwDrWhBfEjikL3JZOLwx69UrTdG8AZFykx34/lAgwJuG6HDkvRLFQQ3tpCt9/TOBLN/ZieEpiaadEZ0mivSjAuQSlDjyHIiARPK+E3gVLsXjZ4vuLJf+rufZFz3ARbXfyrz9wA69TgAPAovldALBZSrkZwLM/dqOBY1at+Ob65zcs3bxpPcv7ApWSQG9HgIHuKXS0j8JzQrQVfFz5rglEkcAP1vXDY55yFgktp+nzGzqiSrMRMKbuY+4tjfyWLP4MyCmVunOw0aQtNZo00xO7PFsMbhhNXtcn0atJQQCmF7NU9fuy5E6TpK26UftegHJxCnc/GeEz3+3H9n0VUCfEpmGBnrqHwUgACOEwiY5yHkcdvYYvWLh0cyOI/nhw8dpdADaSmWSj18l43QLcDP0FbNy3b2Qj5/w83/fnn772pJs2r3+4zZXbivO79yHCKK7+9wIc3oMLT6NYuWgUV/6PEewcL+C5LT2oeEoflzGf1dn9xlGkIxuZrjMIqDbmUlt8IZXsaBZqQpK4RiAxtbgt/dEGt5E4TR1CIMlaEhKQummwkfUIgWraClV/m1EJwUjazU4kHCZQKoR4ZgvH//5OD8YmOrB2CcH5ayPAGca37mzDln15dLQXsPCIhdMXvvWsCdfhF/f0LdhBKd3+ege2Ga97gJvR09MJIeT2vr7ul6ampleVC/LUYu6kb42NPlv65v97vvLYM5M4dqGHHXuB3o4AHZUJdBYCCG4SbWWKy5quhY5D4bpKkTEJtVICERex5RRCyY7mOaVpXiyJSs6Ngx1jcBvODN0hIwE4j0jSx53rBmV68jkMsYPLYST+JQHSaozDBManCUYmC+gqSMxrJ6jkilizsoHFg/7khl2njpx8zGqnvUjeN7jwyEcLxdI4IAUhrxkH96sevzIABxRXBiCmxneOdnX3/7AY3HEk5l/yB+/9/emPdpd/GARTO0muUD9KkCg3Xd+Fekh0uK1ocpgwQuBoy+25FL6OVadUWdQgNFZbIIwkwiix4DQGoAIk02207SRpquM9HAY4jspPdZiy+lIAAQRCTsEF0AiBMJRxkUsFavVr4jCAO0l2E6D+t8q8UY2dXJeju5JHpeLXnVz7835ljXvBG9Zc/9vlj/6fJ57+uj+vt1zfOzwpFpUOblWp18L4lQK4GaX2eQAghsYjUEqv9bzwOs9heMOpK1lXZ/EbHaWR5eu3FE+fbNTY/E6KkscRBiEoYci7imczBjiMwnOpkh19At9VFpdzoEYpokiCC456oGpdS6mOc4W6ssZacwE4sYk14NZOFqZ0fM8VcB2lYQMAazA0IhNJKVBvcERcJSF4rlI+KCFwnaSdtjpvBM5D1AMP41NtWDaYwyUXLuY9lWMfXDJQ2Cj49AcICbjrFhBMf116xSXVw/19HcrxKwlwM7rb449n7Fs0NTV0WbHoddSck/9mzVE/9na9tJ0PdPlrxms4cfvLQ5iuTcJ3KWjRi613PkdQyksUcwK+J8E5wcgkAxcU49PA9n1qUVnKCeRcQLrJeyAazIJJnRamfzWYhOtIOI4Ct+cK5DyOnM9RzEXgQmJ0YxnVmoOpaoTxSY6IC/ge1ckFDgih2nsLhGEEoI5yicLxF6Ja959siPGn5g8MsI9f9usBZ31/QWR9tLO963B/Lb/U8SsN8FajVOoGgFEAfwIAt33/PlCKM18ejt4yNjZ5MePTK6isY9eOrbp8RQSXBij4HH2dHJ3tASQibH6piHqjiFVLBEJnAus25jE17qG/TSVmEFOIngAOJ7GVVZRFxcu4joTnKMvtuRJ5n6Ono4Z6OImnN1E8t81DzqUYmebYtCcCFQTtuRAdJQEeOaAkh2IhD8IcDC5ahe5OB50VtoGy0k3j05W7KBH3dy0+C8BHDvdlP2zjvxzAs+PX3/YmALh/996R+wE8EEXRkrHREfEf/zEkBvq7Fy2Y1/Xx8eGX0VkBuorrce+Te/HkxjxyAPoqHlYsBE5eVUWIGu56pBeVPEHeV52qG1LqssMCrku0QwXa6grkPAHPUXEjhEh4Lke5MIkH1tXxj7f3YEGZ4ITlAicdVcPJx4zipxuBbbuPxLLl81D0JZYuOQKN2vjVjdro1iUr1tKOzgp1mLMFwA/78p2H+9K+JsZ/eYCb0d/bCQA/NM/Hx4bgel5leN/uR7a9wNBRlmF7R9+fDYw5555Q9NCWE9i9/RlUg2l0t3XinBMm8LNNFIxR5L0AU3WJekMtItsiAkoYPEdC+Erv890IpVwIxgRqDYqRaQeVMkVdOHhicxc470BvF8PCBR1485lnorM9xLnDHA89m7/bifiXiznhrjp6FebNG7i/0QjG+g+gf/t/pfHfAJ9htFe6AWAMwG0AsGdoOwjB86tXOn0nrpYiigLcue8FcBGA0BwGumqADMJ3XHjWVR2F6oVb9zbC4VHlc2zLAx1limKeoa3EUMxLdLWHaC+GkJDYPcwRjne4pa7CHRG/8aqJaoeb83wU80C5XEJn37FwXRdLuyLa1U/2EGDrQN8Rh/sSvS7Gr4aa/xoZ9/3kIQCkD9G+9o276nLfkIAUQFuBoFJSsR/lIkXel+hsC9FeDBAJgh17A+wd6yGrV/SPS4k9K1cfnPYd/z2A/w8XYrlYs8ichwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMTowNDoxMSswMDowMBwuk+EAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6MDQ6MTErMDA6MDBtcytdAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70099609
{'hecke_orbit_code': 166633186246267648, 'n': 1, 'trace_an': 4}
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id: 70099610
{'hecke_orbit_code': 166633186246267648, 'n': 2, 'trace_an': 0}
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id: 70099611
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