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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [1470, 1, [491, 1177, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [2, -4, 1]], [13, [0, 1]], [17, [-2, 0, 1]], [19, [-8, 0, 1]], [31, [-46, 4, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208336318, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1470.2.a.v', 'level': 1470, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1470.2.a.u', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1470.2.a', 'trace_display': [2, 2, 2, 0], 'trace_hash': 1958481760497697817, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.956', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [1, 2, 2, 2, 3, 0, 0, 3, 2, 2, 1, 2, 0, 3, 3, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [14, 21, 20, 14, 19, 16, 18, 18, 16, 18, 21, 15, 18, 16, 15, 20], 'Nk2': 5880, 'analytic_conductor': 11.738009097128216, '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': [1470, 1, [491, 1177, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 305, 'dim': 26, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 31], 'hecke_orbit_code': 33555902, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], 'label': '1470.2.a', 'level': 1470, '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': 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mf_twists_cc • Show schema
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id: 48368974
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208336318, 'target_is_minimal': True, 'target_label': '1470.2.a.v.1.2', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48368975
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501008186, 'target_is_minimal': False, 'target_label': '4410.2.a.bn.1.1', 'target_level': 4410, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48368976
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 364791569850571958, 'target_is_minimal': False, 'target_label': '7350.2.a.dd.1.2', 'target_level': 7350, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48368977
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072542336779710, 'target_is_minimal': False, 'target_label': '1470.2.i.u.361.1', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48368978
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94576141964150206, 'target_is_minimal': False, 'target_label': '1470.2.i.v.961.1', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48368979
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072542336779710, 'target_is_minimal': False, 'target_label': '1470.2.i.u.961.1', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48368980
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94576141964150206, 'target_is_minimal': False, 'target_label': '1470.2.i.v.361.1', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48368981
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580965822, 'target_is_minimal': True, 'target_label': '1470.2.a.u.1.2', 'target_level': 1470, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48368982
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490170, 'target_is_minimal': False, 'target_label': '4410.2.a.br.1.1', 'target_level': 4410, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48368983
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208336318, 'source_is_minimal': True, 'source_label': '1470.2.a.v.1.2', 'source_level': 1470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 373798769105312950, 'target_is_minimal': False, 'target_label': '7350.2.a.df.1.2', 'target_level': 7350, 'twist_class_label': '1470.2.a.u.1.2', 'twist_class_level': 1470, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1972625
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 94575592208336318, 'p': 2}
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id: 1972626
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 94575592208336318, 'p': 3}
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id: 1972627
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 94575592208336318, 'p': 5}
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id: 1972628
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208336318, 'p': 7}
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id: 1972629
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 11}
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id: 1972630
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208336318, 'p': 13}
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id: 1972631
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 17}
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id: 1972632
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 19}
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id: 1972633
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 23}
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id: 1972634
{'charpoly_factorization': [[[-2, -8, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 29}
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id: 1972635
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 31}
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id: 1972636
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 37}
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id: 1972637
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 41}
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id: 1972638
{'charpoly_factorization': [[[34, -12, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 43}
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id: 1972639
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 47}
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id: 1972640
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 53}
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id: 1972641
{'charpoly_factorization': [[[-36, 12, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 59}
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id: 1972642
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 61}
-
id: 1972643
{'charpoly_factorization': [[[-94, 4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 67}
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id: 1972644
{'charpoly_factorization': [[[56, -16, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 71}
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id: 1972645
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 73}
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id: 1972646
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 79}
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id: 1972647
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 83}
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id: 1972648
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 89}
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id: 1972649
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 94575592208336318, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '1470.2.a.v', 'level': 1470, 'portrait': 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E4DFjuSwcgn8ATCaGYnNRsmUpY6IZ2BYJj4LPcFmyc0i6uaY2cVNT9g8zRsn43YNDNk48yIzTMjtm8y7NysuHyHT101OXyszQPPBDy2L+GpozGp6vJtL1vlLS8x1NUM+45OcviUx8m5lDMLMcfmDfsXDNdfNc8vvGuZHRsmLLiX6yys+CysWn2+2kvpDSV7Di+y+3jn8r0HTr382IlT5x07eebWm17zluje2z7x9YbE13T7hmbwhcUOq1FKoMSvfvWxAy/5hd/9a/nOlx95yb97xzFveWUTS6uTLKw0mV+uMb/ssbAiWFxJWVqNWVxNOb0ChxYFGzes8Ivfv8iLL2lw/Ow0p+aanFrwOLtoOLOQcGI+Za6bMDk95KVX97jxMghknVCFnF2qcXrB48ySoD+CJNHUAk2zljI1kaCBo2cSOj3YtcmnWR9hjAAR0Btodm4esbjigbFSZKUHowQMhqXViG0bfboDhVAGoUe0az47twxZ6QuOnvJItcdMW9KqCUIfkkTQH0nOLElOLxrOLieE4RD8hJuu6PGSKwWz7TqLy22Onw05tQBnFxLOLiWcXIKDi4brrljgl75/mS2TbY6dmebsYp35lYCFFcnCcspSJ2ZxNWFhFc52BEe7MFpe4g/+fZT8wLf693nT/5f26lfeJ0T6c6kJ8YNv3OzoNyyD/857P85rXnEtP/3//Ptf+eO/vvP//oMP3XHRweMr5x061ZU3XzXigs2aOPFJtUJriTYSjQQk9ro1eNIQKji5WOehA5KrL1zish1DGjXwPUngK4LAo1mXNHxJv+ez90iN2x8LODo3opPE7D0+YtPMEm966TJXX9TlustWObKQsNAXNMIhh04ZVjtNrrpAsjJM2X1E0Wp4PHsULt5qGEYpwzTA82KmWrDneIjyUnyZ4PkwGElefFmfQV9y9UUpnUHK0VMtzt+saDYiVkaGjZN9lnsd/uYOeOJwylOHh+zausg1l3aYmo54401dvvMVhgs3t0jjSQ6fnODgCZ/jZzQn5mJOzKUcnBMcW4l5wSXz/NL3d9k8OcnxM9OcXWqw4MC9tJqy0o1Z7aas9AzLfcnZgaTXG3HTlYv8i7fMyVaoz+ssHTg/jqMbVP2Selib/vKh5z7K7/7hR7/ekFn39g3J4O/9wMd58ZVb1K33HfrPB4/M/ceHnz6q5ldjVlNFZxTzwvPP8ts/scC1F9U5uzjF4kqTxdUaS6sBi6sey11YXk1Z7iQsdS0THV8WePUhN1+5xDtfEXH+xiYrvTZzS3XmlwK3NFuJsNzVdAaazsjQHybMtGN2btKAIPQNJ+Z8hAzZtVFx/lbD1o19zi6PeHJ/ixddbGjUl3nmwDStZkQU+cxMaQZDuHznkA/fMcmlOxJGI8OGCUmcDmjVQp49MqTuN3nhJQlPHYo4uxiwbSbk/C2wc3OEUjEnFiDwDUIYdm1KmGpJuoOQXt+n0/dZ6iiWVmBxVbO0mrKwmnJmFRaHKTu39XjnKxe4+TKPmt/m9EKbheUaCyseSx3B8qpmpRuz1E1Z7hoWu3C6q5hbjbnxsjP8959Y4LKdNVZ7TfqDgChpoWqXpH596690k6v+S00eTq+67ju/3tBZc/uGAvjefXup12r1kydP7LznvqffsefAqV/efeAkqVYMEkFnJFkYCpb6EdddeJbf+oklXnBBnbklC/LlbsjSasBSx2O5AytdzUo3YaWbsNQxnF0VnOoZED3e8rJV3vhizQVbakRRg+XVGiu9gNWuYrkn6PYFw5EhSgxpCkoaQh/qoWGybdg4HeP5Qw6ejnj6QIhOmrz+hgjPX+HR3ROctwW+8FDCy64KmVsdUPMUSRozPQVJ7OP5CYuLDV56bYcv3N/i/C3wyP4RPg1e92JNIgY8fTDl8IkangzYNOUx1RTUQ0EQCJSAREMUG4YRdPuGlZ6m29es9DWLPcMgTdm1vc8bb1zlLS+JQLdYXJlgbqnO4qpvj9MqrHRTVnsJK92U5Z5muSc41VXMdxKuv+Qsv/ETc1x9Xo2l1Tadfp3+MGAw9BiOwK/vRATb/lNj6sqPbtu29Vg0Gg4uuvjSrzeU8ts3DMBPn9zHxo2zwb59B37oud0H3nP3vY+Ls/NdOYhgMNIMIuiNBJ2hYH4ome9FvPjiOX793Uu86KKQhZVJFlZaLHdCVroBy12Pla5gpWvo9FJWugmrPc1yzzDXFZxe1UxN9vmW67rcdFnCrk2Kdt2n060R+hJQRIlEa4E20B8CQjPVGrL/pEGbiNseaTLq17loW8DNV/eJ9Qp3PzbJCy/22X+mx+pymxuv7vPlR0M2TRt2HzX8izd32H0kZNO05PbHFDdfrljqdzh0fJoXXhJx99MDklGDm64IuHDHkEHS40uPKkgFB094tBsenoD+QKKNINWGOAGkxgs0qz1DsxWzY8uIl1ze51telDDTrHF2aYLFlTrLHXtsljuC1R6sdhNWewmrvZTVvmGpJzndFSx0E268bI5fefc8L7ggZHF1gk6vTm8Q0hv69Ice/aGiN5D0o4bevP1Ks2PnhT953vkX/dnS4kJ09VXfGCD/hgC4TmOZxP03Hd7z6YvmFsVvPPDA4/78iqDT0/SGCf2hpj8y9IeG3kiwOhQsDCVnVhNuumyOX3v3Atde5LPSmWB+pcVqt8ZKN2Cl57HaVaz2odszdPoJnV5Kb6BZ7Rvme4L5HsTpiGsuHrB5OqXXN7zhxhHnbdYkqcSThiiGu56scWyuxpaphGcO1kA3uGy74tpLNWGtz6P7+8wvNLnyvCbtyWXuf8rn+otrLPZXWF5us3mz4aHdiu99dY+Hd3ts3+iz0FtleWmaay/vc/8zKdP1Sa68qMfc6ioPPTdJ3Wty3aWGS3YOQfZ48rBg43TM2fmYu5/0GcYKKSHVhvO2RHzLjRHdnmLrlObaiyGKGiytNlhaDVnp+XT6itWepNODTj+l00vp9lM6fc1KH5YGgpOrgtXhiJsvmee/vnuZ6y4JmFucZNWBu9u34O45cHf7kqVOytnFEVdfc13cj/yffvcPfPuBiVb9s2Ho6683tr7umcw46pHE/e+fP/Xgby/P7Zk+c7JHq+kRpwohBFKCkilKantXBiXBkxolPB7ev4mf/ROfN79kie9+9RLnb404s9gmDOrUw4BG6NOse3TrktbAZ6Lp0R+m9AYpm0aawcjQHYYszdc4cdwQJZqTZxLC0ACCQBk8KegPFAKfpO/xgvMEF2417NzWZ5R2+eLDij0Hpnjti0KuvXyZD37REIgG523r89T9im2Tig3tPjVVJ4p95rrQrHls3yR4Yk/EtZfUecULF/jzzw0I/BavucHgh32+8lDEFx5s8tzhOhdsbXDelpTZqYjzN8RcdV6KUhpPGcDQCENmJ0Oi2KfbD3hmv09v6NEfKHpDSW8AvaGh17ffvTtI6Q0MnYFhZQDzfcWZZU2zvcpPvWGe77h5xDXnNzg937bg7gd0hz69QfY7Bd2BpNs39AaaKIbb73zYD5sbfvvWrzy89IbXvPjfrnb6fz7RbvyfC/A06QL8yNKZu3717OHbpnudPp5qUA8NUd2gtXVEpBRImZSAbVDS4EtDqCRPHdjA4/sb7D81x5tf0uMlVwyZbLVZWm3Q7NRoDwJ6fY+uO9mDoUd/5DEcGYaRJooNcWxIUnuPkgCjQSqB7wlqgWCyJZhqweYNmu2b+myYWuXWR+Gex32knuC1L/J5wWVd7n0uJhq2ufkFgtXBgLnFJjddotkw2afuhQwTxXwnRmnBCy7xaLRGPLa3xsuvneDGa7o8tleBmeBFVwT88Lct8eUnIm5/uMnuYzV2zio2T9eZajWYaEE9BN+zF7w2sPuwIE0FcSKIEhjF2O84ShmMNMORdquhpjeAzgjme5K5Loz0gFteuMSbXrLK97xGkyRtziw06fRr9AYB3YFnwT2U9IaS/kDkF0x/kNpjmBhOHz/N+/7yi9Odof7v3/vml3krq/0/mZz4+oH86wbweLSAMfqHB4u3/mrn7Bc3oocEQYMw0dTilLgmcoALoZDCMbkSOXP5yuArTd0TLPTrfOSO7Xzl8Q4vu2qFd92ywlXn95iZbLC40qA7COkPfAdsZe+RYBRL4kSQJHapt7VbNqj0PKgF0Khrplsx2zb2Seix/2TM39xd49DxJpNhneuv8Ljp6g4P7Vvltgfa3HBxjZ1b+nz4DoESIe1WzEpvhDagBMy2+3S6ATqp86aXzfGRLzS48GyNN97QJ4oXufvpGeK0xouv2Mgbr+9w8Y5VvvJYn6eON3jycMD2acl0W9AIBYFvL0IpQAiDNqC1BVuSGqLYMIrthTyMYBBBdyhYHgmWuiC8IS+8dIV3fcsKL7siZaZdY6XTZKVbpzcI6A3sSpCBuz8U9EeC/tAwGKT0h+7iiQxJClL6nJzr8Pt/8eWNq7H51Xe/9aXm1NnlP926aer/DIC/8cf+kM+/12f5xMd/QJj+bwxWnthg0hV8v4mfpAR+Qi2UpFo7sEkQAikVUgmUTPGkwJMa39MEniHwDXVfsDxULK5M8dE7mzz4TI+br1nhXa9Z4YUXrjKT1kmSkP6wRm/gMxh5RLEiTiRJKkm1QBuBwCCFIQw0jVpCGEQE/oiTiyM+94jkwImAwyemUDrkwi0Bl5+veNFlHVQ4z9MHW2ybbHDlBbB5dpmlTpurtkkSbbj14ZBRXzLZTHjdi4d89u6YY2daXHqRz+mVIc8e8tmxaYprzp/n3qe63P+sYBQFXHb+NJftCLlse5eDp5c4cBIe3tNg/6EmDU8QepJmaKj5IKXLABh7sSYpRAlEqcgD9E4MkU7QZsh1F3d417d0eNlVKVumA4ajNourdbr9kP4gsBJnqOgPFYOhoD+UDEa2b3QwShkMHcAjwzA2jBL79zSK43Or/P6H79q4+/CZ39gyEyQ3vevLH7z/z+9AeP/lny7AV07+OpPbfN5ei77n5Zc//Xvf84p9k74MiVUN30sIfEWaSlKdWHAb+/GElCgpUFLhKYHnpXiewPcFgacJfEPNNzSClMmaoDvyWe5M8Yl72tzx5JBNU33e8cpVLtsxZDjoceX5hh2bFaPYJ00VqZaYDNxS43spR88aDp8RrAw0n7m3wcmFKUzkM1VTbJ3x2LXZ44JtcOWFHbRc4H2fbbK0NMENl3lceeEqX3lSIBKfjVOSZiOhHwdII8FIlBewOhScXRJcYRq88kVd7nusztYNATdcOc0//7YF/uwLXR7e26Q39FlcaXH+1jqXbunz4ku6vPXlXU4tLfGZe0MW+yFHT/ucPBngK4GUEoFAG0OqIdaGNNFMzcRcfUWf0Sjmsh0j3vbKERsnFNOtkDiucXq+Rn8Q0B/ZVW4wVPYeWdYejATDEXYlGKUMRqmVPCNDf2RXh2EsGCWCYSpIpOLYqWU+8Zkvb/ilnwp/784/3hSj/vSv/vUvv5ff/U8//k8P4E8//lt84sFbxJlDn337o88efX9v9dnGRFOTJIIkVRgt0VpijLW/cFJBCIWUJge370n3aIEYeILA19R8Qz02NCLDRC1lqi7oR5Ju1OTwiSa//lfToBNEkvCiq/ucvzkiSUAbjTE2iSOFQCqB5wfsPRaw+0CNZs2jFUg2NASzM5KN0x5bZxW7tqRcumuFVCzy+59sc/TYJDdc4nPZeSmDpMsDT4dM1n1mJgyTrYhG3UohrSWrQ8VSz7C4mrLaq/PSK1d4ZHefPccUk+0aL75ikne/aZE//BQ8dqBJb2BY6XqcXWqzeUODjVNDds0M+Xdv79NurPLUYdh7XOL7BqUMQmjA2P83kCRw3uaUm69KSGOfOAkxpsEw8jmzEDAY2RVtGKlcvg0iwXAkGEaWtUeR1fKjSDu5oxmODINIMxzBIBIMYkE/EXQTwSDRoCO6vT633nFs8thx+f5Y/HTyO//p6o+dv/k95t/+6E/+0wH4v/u1j/Cf/+Ji9ZKL73/L386d/eBXHjxU649aXLyzwxW7hrZ2wwhbLIXIdbAQIIVBKg9Pgu9qoz0lbJrdl4wiTRiljGJDPdaMYk0UGdoJjGLtlk3BMJaM0pA4rbHnQJMn90BqDBbaVhv7EgJlaz5aIVy5Bdp1mGhKplqKmUmPjdOwc/OILbMrxGaJ3//kBAcPTXDtBYoLtksu3L7Mnc8mnF2c4EXnS6bamlowIJQhRgmSVCKMIUkjlns1zi76XHtZnRdc0uXex2psmhI0ai2uvUTzU29Z5Pc+pXn2ZIuVnmalq5hf9tgw2WSqXWeqPUG7ETPbjNl1bUToJ/heglIpUtiDaLAXVRwr5uY94kQRJ4ooVoxi9xhJRrFkFEmGkWQUCRugRoJRZBhF9riORvY4W5DbBNMgduCOBL1IsBILOgnoOIKoz5XnD/ixbx+y1Hm8MUjFBx++L9H/5t2XfvL7X/u+dPaCH/3mB/j//at/RaPuq02tZ972mbs7f373g72aYSvoCIPkv/zYKlfuGDhD3oDASYXirpTBkwrPU66GRNiT4AtGgSKKLdDj2BAlRUSf31NIUkOaalKN1duaHNxC4Bwa8H0IPUEtFDRCSbOhmGhIpiYEG6cTdm3u02qu8Mn7Iu5+epqVhTZX71Ts2uJz8Y4hqVjh1ocbNH2P2SlFqzHk6YPw3CGPq3YY+iPFNRfHXH2h4czplPnlgMGwweuv7/LVpwbsP6lo1iVh0OaqCzT/5QcWuevZAZ+9awOLHcOujSnLqx6TbcVE06fV8GnWDbVQEwaa0EvxlJVa0rVWGoNNWGlBoiVJKkgSQZxIokQQx5JRbJ2XKBZEsSGKYBSnRDlpaAvu2FjQxzCMDIPYMnc3duCODelohEx6vOC8VX7px5b4jpdGJInHcPRUrZ+GH1o47P1gEE58fOnoH6XTu37imxvgnVEiFzrD79p34NQfPfjcqRqtNqQjSDz+7l5FNFK87VVd3nFLn4mWRvXtyVHK+t6eTPE93waUvmboK4JYEvmSUSCIYmFPTqyIE4hiaR2EpLD9klSTptZdSI1zSvJVIvPaBZ4nCDxBGEhqoaRZF7QbhsmWZtP0iNmpLolZ4WNflfzZF2bYWKtx9U7Bzi0+523V7NqyzCcfMCwt1bhss2KqDa1GzNkjkrnlkOB8GMWC2QnJ5CTsP2xY7mjOLNS4+Lwar35Rl8/dU2OmBWEQoOQkV10o+NE3zuHLOf7u3imeO1ljUydm42TCRFPRqisadUk99AgDCH3wPGNBLkCKEsixF3aqIU0FSYoDOsSpIUogjlNLCrEmco+jWBPHWHAnDtyxYOjA3YkFq7GgF2v0cMhErcs737DE21/d5XXXafqDOqMoJE4ConhfreFF75fBLk/5/l9jeeabE+C/9d5Pk6T6Bz5917O/9cRzx9s130cjiERIKj2M8rn1IZ8HnqlxemWZf/GWPpPthHCU0Onb5I6nfPxY43segacIfI9RLIkcc1vGEZaJHCslCcQppKl1ErS2AZfWJuvhdOC2AFdKOF1vAVILoVHTtOoJk62E2ckBG6ZWuG9PxIduq7P38CTnTfhcuBm2bw7Yvgku3dmhn3R4aHebuvKZnVJMtmCyNWJqIiEIPISwF9dgFLDUiVnpG1Z7CXPLATs3t7jxsjlue7jP3pNtGmGMrwKEmODCbYrve80C1106x4dua/HQM5Ms9jw2thMmGwmNmqReU4S+IPQlvi/wlEQpnH2Yr48YY+zq5YCepNqtbpYU4kSTpBbcSQxRYop7bEt9R4nT27Ggm0g6iWE0SDBxn5lml5986xL/7nt7NsHWaxLFPknqkaQeBsGoe7AdRd7vi9qNwekDf/NnWy565zcfwBcWV1FK/shvvOeTv3r6+KmZmaYHGBIDkRYMUo+RVKQtn5XI57c+ErD7wAr/7OU9XvHCHptnIjrdOoNRSBD5BH5A4HuEcWrZOlaMEkkcS6LELrtx4jztFGf94Zhbog0FuG2S0jE3eMomTALfUAs09VpCq5Yw1R6xZUOHs6t93vMZn1sfmWZpuclFs4KdGwXbNgZs3yg4f+sQL1jhI3d7HDre5JJNkqmWZKKZIuWIk/OG0JNIAcYIothj18YOD5PS6SuWO4azS3Uu2V7jra9c5eNfCThyNsT3YoTw0aZJnEhedP4yu767w62P9fnwrdM8eqTJtinBhmZKs5ZSCwShLwh8ie8JPIUNnKXIazIM9iLTBuu0pBbwOchTK+nsKghRxuyJKMCdQDeR9GIYxClpb8T22Q6vuHaFb39Fjzdcl+KLOqsrIXGSgVuRpK6sWYeknbmZ9mzvN7Zc/N0qGq38SRBOfvMAfG5hFd/3//kn/u7uX33o0Wc3NjybjEm0IDWGRAtqCgapYCh9hlKxGvt85M6Qu57qce1lXb77NX2+9YYOGyZG9Ic1BlFM6PvEicco9ogTjzi2AVOcSpJEEqeCJJGkqSDVotDaWpCrEpMFr9i0v0sWBb4mDFLqYUKrPmLDZI9BPOArTxv+5s4JHnpmkqnA56pthi3Tkk0zAVtnJds3RVywbZmnjgz4zFdnmVAesxOCdlPQbsSs9lO+8ECNVmAQwgJrMPJ4080jPv+grYlZ7Wnmlj22b2zx5pf0eGhPl937A5phgpLCglw3GEZW63/fq1e5ZMscH7mrw/3PTXJsuc7mtmCiZmgEmpqnCXzwlEBJeyFbJoes/Eg7qaZ1scIlDuiWICBOBXHqsqKpYJDYezeFUaRJoohmvcebX7fMd7+mw7WXpmyeUgxHTbr9gDjxSBIvB7g9J5JUS3QK0ZnnNqrw7l/dct4rdTxa/oAfTn1jA3xxaYX5pR5S8P0f/cw9v/nhj395ZmV5hWao0C75kLqlMdZQkzBShkEqGKiAoe9zohNy6sEGDz7d5+NXdXnbLX1ed/MK0xMBURQwigOi2ALd3hVJYtkhSaX10R3AtXHMrYuaMiGMCyptNtTzNIGfEgYx9TCiVR+QMuDLj0n+6o5Jnjk8gYhDzpsybJk0bJhUzE4HbN4g2Tobs3Nzh+PzXd772SbJqM727YLJlke7Ce1GjPAjOoMmky2DENYhihPJdKhIdEI3Duj2U5Y7ipPzda64oMWP/bMVfuOvQ47ON/FU7C4MjySpMYwkm2dCXnRRh6sv6PHs0ZP8zZ11bnt0klOrdZqhohVA0zcEnsFX4EmbzheiWl2nAaNx50aQGkhSYc9PKohSB+xUMExhkBiSJEbHETO1Aa+/ZYV33NLhZVclTNY94qTBcicgjgN3Xiyw4zTLb9jqzDS1VrAermCO3LrR88xvTm1+WTLoHv8LIdvUGv94bP6PCvBub8DsdPPbv3znw3/4t5++rT3ortKqS4QwpDlbWKYItA1sQi2opdBIoZ8KBipklPjMDWv83UNN7n62z4tv7/Ivv7PH5Tu7bJxUtJseURQQJT5JBvLsIGYH0kiMwfVpZuAGKWzBlqc0npcQBgm+iugMYuY7Mb/7yRqH56Z4bPckRgfM1AUbNxg2TAhm2oqZSZ9NM5LNMwnbZvvMTC5z6+OaR5+b5OrtgqmWpNWQtBuaZj1C+CPC0MNT9u8bA2kqGYw8BsOYRAu6A023Z1jq+JxZbHPTpT1uvGKFj9xeo76k8GRsAWk8kjQgim2P54bJGtdd2OO6i3o8/IpTHJ2XfOi2SeZWGpxYDAmUpOkLgkyGSRt45kSeSRXceTGCWEOiBaMUhglE2kCaQBIj1YitUwOuPq/Hv3xrl+svT2nXPZKkyWovIHLAtrKkSjxJBeBZ1tgjXunTf/YrMztHtT/ctP365TgefOYfE5P/aAB/6pm97Ny+Wf3Bez980ZNP723HwxWm254FGS6wMRnAbRNBoASJNgSpIUwFtdRYfe5JBn6NYRqwGNW57dE29z03pBmO+ME3rLJjJmHX1gE3XdnFE7ZFDJGxhEsaOV89uwkMQhqUsF6uIQGZ8OxhySN7PD73UItnj7WIkgYtTzFbN0w3DVMNY33wtsf0hMfMpGDzdMLW2QFbZpe5+5kR7/vcRrZMesy2od1UtJuCViOhHo64b59iGHn4TQsqYwRRIql5ihdeMuDBpydt4dMgZaXjs7AScnZhih9741lOLCzy4BOz+BIQMRpIEo8o9hlFkt7AY6pVY7Ld5MZL+rzi6j7f/ap59hzXfP6hGg/tqbPvUJNEeIxGin6sUEIihBgLPF1OwGgSbTBa44uUiSCiRsyN1/Y4f8uQ7Rti3vW6EfVA0qp7RFGdTs+uqEmirCRJVU44iZOOqbbEk6TWqszKIiwBeaSdAb3hV9vz82cvuu4l36XOnjqQbtp60TcOwHc/9xw7t88G9z/w8A8pkfxWr7PIdNtDIzDauC9UZvBM81mg+2kGdKv96towSm3Kd+j5DFOfvq7T7ab85kemMEnMptkhV+wcMjOR8LZXD9i5MSKOhdPb0iWOcnRb9pYaIQWfuKvOUwebCM/j6KkGJ882qNUVE6Fgsmlo1zTtGrTqgomGot1STLU8ZiZhw2TCppkh2zZ2SM0Kn/hqm0GvycXbDe2GotWQtOqaVi3B9yNufbDGqC/xN9pu0UyiNOuK1794wD2Pa3ojSW+Q0ul7rHQ9ziw2uPz8Fm97WYfHnm1wdKmFkhqInV72iVPFKLaJmd7QY7UX0Ko3aNZHXL59yA2XDjk+t8qR0yt4fsqThzw+fmcDoWwZMuPzB40GNMYYkihl16aEd7x6wIZ2yqW7DJtmIE18RlGLJPVZ7nhVQLsEUqptfU+aM7dwxCMqAE+dL2/dHI/uYIWwpX9r97OP9idmzv+zffv2RJdcctk3BsDPnDnB6srCJcePHX/P0089KieayllQpmLRpWmmw4X7d0iVyQuDEud6xBpqqaGhBXFqXZcolYy0JNI+sYb5Xps7n9IYUj79kB3ZgNHunmXxnEUmbEWiEBKpFEnsIbWH70laIZw/a2j6mkaoaYTQCAXNuqRVV7QbHhMtyVQbZiYSZqdGbJ3tkrLM7/5tjXuf3siFMzDVcOzdkLTqCY16RLMxoF5vECqJkk6DYy/yOPYZDgSDUUp3pOgNNd2Bti1zzYATZyd46RUjfurtZ/ntj3scWwkRQmNMjE4NceITxZLhyKc3ULQGHs1aQKNeoxE2qIUxrXrEiy6OCPyY6y9OeNctfTyVuCSQRghTFeVO0mktEUIS+goIGI48Fpc9W7fjpKBl6BJTp5IkUc5fl9ZQcAC3IHfALhkAaSrcObde/MkHHpWXXqHeM7up/9UoGj3zj4HN/2WAP3Lf3zI5Sf3Q4X1vOXXsoNgwFTCKBFGS2mRL4rKHqSmBuwT2tHidaFcFlyUi3PPE/VyiITHYeSNakhhJqj1iHVqNX/K4oZSlFOAJ4dL9UKsbap6hplJCH0IPaoGhHgrqgaRRlzRqngV4UzDZ0ky3E2YmR2yc7rF14yLv+5zmw7dtYsekYkNL024qWg1FswGNekqrHnN6UXPwdEgtsOW3kFX6CYaRx/mbNZs3DOkMAwZD41hcstL1aNVrtBqTvOuWOQ6dPsP7P7MNT3oYNKlOSbSxjlKkGESKwUjSr0kaQ4966FMPU1a7NsYI/BTfS/H9FE/aRgkpbTpfuLstXRGAcCAXrGpXZZk7HzJ3QdKSrs6C+4ytEwfiDNiJHgN4anW+dWsEcWyrEHsD+Or9j4udu1bfsmPHeQf/7IMfG/zQD7z96wvwMPSDleX5nx31Tv9soIZyoqkYeDiQ20o2m0k0uSSxQK+COws+K+DXkBqKFcCl2VPt6p4NNhp3gVJZcwMuk2cDK09qPImrIwdfCXzPWN/YE9RCSS2Q1ENFvaZo1SWthmGimTLZSphuj9gw1WfnpkUe2jfiI3dtZaoWsqmlaTeEBXdd0qxpmrWEVmPEQ3vhyT0NLpo1TvcWafPBSHH9pYaLdw54+JlJ+iPDYJjSG3gO5D6NWp16bZJ3vnyJJ/fN8eDuzWAUWqeWCBJDEpu8nmQw8mgMDfWaohZowsAnDFJCT+N5Kb6n8VSWJXalEMKAsMOSMloognPhjm8mJ2QhL1JZ2H4ZS1eYuQrmNK0ydm5FJrZxOooNg5Gm0+vJWJ/6z17QDNrt1q8A0dcN4FHUl3E0+MXH7vvQv+13TgW1ICTV9mQqKfASQRy7JSvVeNomEwo2L0CudSFfCllD/qh1FgjZn82SFcYVTGW3MsSzVHWW0FHSZSwV+J5tFAhc9i8MFLVQUQ8FjbqgVTe0GykTzYTJ1oiZiQFbZ5d5cO+AX/zzTRw7MckFGzSTDWjXFc26olmDZi2lXosJ/CGrQ1sF6SuDlMUns+wmiZOAdj2mn2j6rs66P0zp9iWrdUWjG1ILW5y3Oea//NAqv/BByQO7N2FQaKNJU02SJkSJJooVw0gxCCX1kaIWSMLAEAaK0NP4vvX7PWUswJWr83EyRQizpkE3CwS1EZhMM5uyfhaOdKQjKcfcDsQW7BnAKQE889ltJ1WcaKLYdhzFCRw8fDII662f/n/+1Q/63W7/P7VajX9wOv8fDPAkXsaY4a8snLjtX0e9g7UgFKTayhGMRAqBUhZUWXFPog06NSRaozOQ56l04w6QybvFy86Ldu8XwC7uQIl/shR8IU+yWhOlrF3muVY035OEgR0AVAvtSIZ6aGjWNK1GSrsRM9GKmG4P2Dq7woN7+vzCn21g77Fpdk1bh6VVlzQb0rJ33dCopTRqMXEa8Ze3t5BK4UuDEoVNqE120ft832uX+dKjEd0odI3VKb2BottTrIYetSAk9NtcuiPhl394kZ//M8H9z2xCG9sUkqSaOLGFZqNIM6rZctcwFNR8QRjYzGbgmTxj6ymNdL2tUhjbKJEBvEh5OpA7p0UXYLfnpQB4Yf2RgzrNwZ+BOysNcDI0wZUEaJLY2GrFyALdCMUTzx6tffgTd/2bd739NWJusfNzG2fa/+8CvL+yF4y+sbd4X13JAYFXI/E1YTYfsASsOIFEZZrM4GnhUsQZyItWK1sQlT0v1U6431sB9zqfKwN4VoORZfKUErYTyBN5XbnvS1u/EQhqoZ150ghTmnUL7nYzYrI9YHZylYf29PnFD0zz7NENbJ8SzDRL0qTm0azZ+pV6LaEeRvj+iJOLU/hKoKR2tlwRZKYuKNsyZZMnnbjGYGQYjjSDYUp3KKn3FbXAJ/Br+N4El21P+OV/Ps9/+FN48LmNTv9qy4RJ6phcMwo1tUgyDFQuwXwffM9KNFunYvAkTqaAcI9ljGc4N7lsKVUmVh4psXlxESRpsQJnsrNcEpAktg4mjg1R7HpjE1u/vtKP+OStj9Yvu/T8G6X8h+848Q8C+OE9n6XXp3Hm0N8FyaiHFBJPaXzP2XQGhPNbpTCOxd0XzrWayYPPDNhZtrMoCDJjoDbPC24oUtJZlaCUIpcmStp68kKeQM2HMNDUa4Z6aPVzox7TbkRMNgdsmFrl0f1Dfv5Ppnj66CxbJxWzTc1EXdCqSRo1RaMuqNfsxWFT/REP7hb0hgE1hbvIrAbPmhBSLYgTj2ZNcdOVXR56tk0/LtrB+gNFN1SEgSLwA6efJ7l8h+bX3j3Hz/wx3L97I7GWxFq7ZumiB3MUSMJAW/Z2tSm+u7jtHSdTChknXZZ3PZC7/gknV8gv1HGg55LSZFWLxQqdliRqVuSVuJLmrKArTq2xIIWg11nhT//iM8FP/MAbGx/4y8/3//m7vvV/P8CH3f2EzR2Th5/7xHvjePTyOLaHQymD7xnXIZMxqS30USmoFLy0ZA+6pUt7ImfrVBuXOja5vjamYPIsKZF3q1A6GcIWFAnp/m72t3OAWxb3PctkgY/tBApcgVWYUnfyolUfMdEaMNXq8MSBET//J1M8eWQjmyc9ZhuaiTo0a4JmXdGoKxo5e6fUwoRWY8jdTwasrNaYmirS5BlYsiU9ThUbZxS3vKDH3Y9o20UT6RLIJTVfUvM9fC/A8+pIqbl8h+FX3z3Hz/yx4f69G4m1R+wqAG3Zq2XyMJZ5dWHgSTzPFWFJgfKyY0P++bKLMJMqIqtKo0gIFUAv0vxF8VYRL+WrsR5bqXXB5EkGaPcYJwXrCwGShMFg8PJHnz78p//iR9/+4y960dGVa6/8n9sV7n8a4IPuSUb9+Z9JB3u/i/QMSoUYjOtCd43CRiCEXZaVEMSOQROnxTxVNB1kGi7Xde4gZWyt12Pu4n/yjFyuvWVWQVfo7qxi0FPY+gzP4Pu2sbgWaGpBSr2W0KjFNGsjWo0h0xOrPLZvxM/+8QaeOLSJjZM+GxspEw3jwO3Yuyaph5b9a2FCI4xI9IhuFCKUxM8YPNfgmVZ1BWKxTzMY2nKBqMZUBvJhSj+wDB4GEt/z8L1sA1rDVecZfuPHz/Lv/0hz/55NxNpjlAqiVDsWF9RiTegbAte76nlFy59yK1oWJ1mZIkoroD2q5R1Myse/GguV5GT+2hRxVInBdclFszrcgdwFnbmscd1dB48v0XjqyHfd+dXHD46i+D/8b2VwkxwBtXPXsWd/7+qof4LAt4GCvbpFtZFASsegEuU6ajxV2EmFUyKKpS4HN6VUbrWepLC6TcHapZOSL7euQycfFOS5MROuCCmrHqz5qdPNMfXaiKl2n4lmlwd3J/zc+zbw+KFNzE54zNZTJmqGlgN3vWbtxAzc9TClFiS0mxG7jxjueqxJICW+0i6IK5CSLd9xqki0xytfFHPRBT0OHqsz28C1g9keyP7QsbCn8DwfJY1LGhmu3AW/9qML/Ic/1nz12VmGcZ1RKokSQ8Mt+aGPBbmXrV7aSRSJVGm+wikpSgAXJZCXlslyQF8hnpKM1CavVMzYOwe5yfIhRa1+kiX5XOdVXPLIYw0Ij/2HT/N3tz169S//hx/Z9eBTZ47eeM3mf3yA3//EEe55euq8Ke/232lEp77dVysYE4JIi29dEsYWbBIptB334OSJ56xBnbeOmRJzF6DODli2JI7lcMiWzjXgFgapMlvQrSxOPvmeIfA0vq8JfU0YJNSChFoY0aiNmJ7os9ztc88z8Gt/tZmnDmxggwP3ZN3QqguaNZF75dZ50Za9AwvwejgiSlOGgxo1ZS8yKUpLP1m20CVFEs9qeW/EyLWAFQDXBEFK4Hv4vsRTCiX9HOAIuOZ8wa/9+DK/+dcJ9++Z4dRqm2FTMpkaWomdNhC6u59LNOPsQkoALxg8/7zuQ6833884tsnPlaszN7rM4uRxVdFkUWS3k9xZyRjcAdyBO04FqRGcWhxxfGHh25967ivpq264/N8Ys/eIEF/b7MOvGeAPPHEUIxZvEIMn33LTeY9w/pZJVnvpuKtUqvtwPqsUqFSSqiybBVqJiiWYHZQya+vnBXdxEQmRjXvI2Ns4eeJ6Od2AIM/L5qhk5bEW3GHgwD3dY355wK/+ZYPPPDDLQm+K2QnJbM2Bu2Z1d8MFlvVQ0giNY3CrvWthBETc8UTAchwwE1Kpx0aUnAhjj0cUe7RDj1df2+fBvRHdOGQi1raLPdIEI1urHngW4J4yKOkjpE3QYOCyHZLf/pcdPv/ggF/5wCZOLEwxmPSYDAStRNNIIIzt6OVA2YFGfhZoSpEHwdljOVAvX5gVueL+x5TAXZaT4yAv5zbybqJSBjvPaupqLfoohW7s88y+p4iH5i0g/hL6R/5RGXw46BPW6hffde9d/+qpxx5num01tqdS9wXHdLAwbtyaIZXWkkpTYUFeShIU9l8WiZtC7ujioqkAvBIE2fLXzJK0nq6VJNYGs8C2Do8bM+G74UJBTBjEtOoDPK/P3U+m/OkX2nzu3o1Eus3GtmBDzcoSawFmPrlyd+GYu8zeMZ434r7nJulHHlsaxmUMxxk8s9UkcaKo+YobLx+QaAvwQSzsIJ2sg31kHSprcSoHRJt9tMpBsGFS8F2v6tEKT/GBLwy457kZzsR1+jVJOzE0PWNB7rk4RBkXlzgSyohBCBfHZIOEChZfD+D2oRQjlYFelp6Zy2KcDi+5LIkukkEZc9tyDBhpQSKgMwr4/O172bbhpn915ZXf9vigP9hfb9T/1wE+6Bzm5KEvEYRTW7fUnn3F7DUd2o06cWKr8zwlMKTkjqlQCGFQ2hYYJdIlcJRw9cBFxss4vzQLvMp6u0jgVBdIC25TkiWmWDFEIUvseDedM7evbC1G6McEQUzNj2g0hgRBn7+6zePX/2IjB+en8cMam1uC6TClHRqaITRdh309tNnOmksI2fqV1K0EVp4sdFJ6UUCgFIE0eYCZfY3MatMmS1lLosSn7g/ZPDlgpd9iEAs3bs3GCr6fOptPObvTzorJjkGWUp9oKL79ZT2uv2KeX/vQkA/fOstS0qQf+jR9SduzNTihB4Eib4bwsqSPW/lkLlWKBJCz8dfIlXKiLZOUWXIod1iyFTrPSGeBZNFgYZstbJ1RUiqyS4z16JeHLf7y80NqwcFX3HBIbp1fXN3/zN7jXHXpjv9VBk/ZddFLz1tdeOZ9nTNP0Kh7blCO7X4vgGdKQZ4d0SAdyIvySFOwd6mOxGQtZdmjc2LGlYnIxkpk7C1NVQ7lDK5LzJ06kCcEnpUkYTAi9AccOZvw/s83+dRXZzh0dop2w2e6BlNhSis0LvWegVs6cMs8KVRz2jsM7IXTbo745H0e+4/WqSlhM4aZg0KB8mLFsjo8Tjwu2wXfdn2XP/3iDL2GRzu249DCyMUNSuN50s1mpARyv4Q2SyI7N0h+7nv7XH3+Cf74c9McOjPBUlKn73s0laDhgB5IYy8c5zKpEklIUY5rqGjy9W6FCWDWxFHjLG4z1VRqjRKX4k8cc8fadhRFRmAESCOJkpAv3rOXa19wxfve8LqXv2FxqfP3SpXnBXgcj/C8gMHS3dsZPXRhMziJUtIC2wiksdxtK9IUUhukkCgtSaV0qXv72p5QnQM8L+TRFrqF5hbn1NxQkkD5Y2l+Sj5eOWPvFN9LbOeOlxCGIwJvRDeNeM/HAj7w+c2cXJxEqzrTE4rpwDARaBqOuRt5+l66OhUnTZx3noM7sNnLURyx/0RILwqZCp2LkyWdMlci+56mVJMSe7SbHudvj1DhkG7UYhAI6m4GSeDkle8kipe5HkKdI3hVzE70+bFv7/OWV57hA5/v8P5PzLAwaDLwatQ8RcMT1JUhTIxlcxcveRmTiyKNnwMcU3VWxkFeAXo2qoIxKYqr/KRI5ZsC4Klx5dHagnvk3rMnX/H0iS6f/eruC70w2P7W111/JE5G+F74DwP4waNzhLWJ2bNnah/b9+Sd/ptuHqCN7wDq5vlpQ5pKN7RSIqUdwSZTB2yj89l/BXsXAM9kSRnca2VJ5nmbEsBNLlEKcGuUcuMmvBRPpQR+TC2ICPyI1WHEfU9J/uq2Np/46gzDtEUQBMwEgslA0wwMjdDQCApw10JJGEpCJ01sYsg5Ew7ggW8zn4dPG+55tEEU+4RNsybAzG6ZY5SVokaxwvc9brm+y0e+3GPviSaDmp33MvINQYIdnRFplLJzGq2MkMVwHwqpl2pJoiWN0GPT5IB//84+l+8c8eHbWjyye4L5QZOhCvB9j5onqEsIpbNRM3tVGptPGGdxdx5yuVIiI1P6HBWQr7mLQqo4cKeuDDoxVnePjNXmOterhpHWBCYiWv2i/+LLrvwYLL0gGXbm/8EMPj0zKe99ZO8N7/3LOyZOHFa84KIhl++KGQx9tFakRiGERgrlSikV0mi0ligH9LzU0hR1xtn8warmzjJmaykiYw7bdpYBXeflnlJqZwemFuAqzeWI58Ws9mLufUbw519sc9tjEyyttpD1Gq26YtI3tANNwzc0AkM9wLG2Ze56KKkFilogqAW4Cj3twK0Jfau/lTdi3wk4uVqziRWnb6uJkwIEltmy6jtJFHlsagsu3jHg6WMJ/di3YxpiCCLcqOhsfHSWqLFWbPmWp86dDRmntj78HbcMeN2Ll/nK410+eGubR3a3Wew2WJUBvcAjUIJACkKJ7eGUBk+YvFgts2BtYP/32YcFm5cvPF1ibm1EAXDXCxobQWQgNg7Y2oBJQadgEhglXHL+Kj/93WeZEZ+YGK28+YZa+6ov8jzDg54X4M/sPxMOYvNHDz55sLmxJoi0QfkjvMSgtUJoDy0kWmp0Dm4HYF0GuCwYuwT2shwpAJ6BugTwPNApCvStLLHTr+xjipIpQeZmyJj5bsLdj3p84d4Wn7lngrlOE1Gr4bd82h5M+LaTp+7jZAfUA+Hu0pWcOt0dCMKMvTOAewlBkFALIoyJueOxkKOn62yYFvhSu3hEFI2+JRRk5aepkxSDkc+uTYJbru3zqQcierHPIBbUfEOQWBYfxaa0Sqncr0bIikyxd5k3KtisqUc9HPGOVw34lusX+fRXu3z+3gZ3P9VibrXBQAQMAg/PV3hC4EuBLyW+ME5qGSTCSa4i8DwnyEsA147AUrL+TwvqvIHFWObOm1byzqzUATyxAE9iQhVRqycEPNWU6k1/pEfHLwcG/yCAP/jEsywudlk91WfjLpAeCJXiyRgtLLC026fSyJTUFBNiTT62IXsPx9zkJyA/IesdHVFyTErglkK75mGNcAD3vJTAi6nVYgajlL0n4cgpxd/cPsEXH2kzt9wEv4bX9mkoScs3tDxN3TfUfaj5Ftw1384ktGWmsnQX7t+NA7nOQR74tj3t4CnN04dD8H23zJtSir6aFszYLXNSrJtixzlfdf6IK7b32HOywaAmaCSCMDaMFM7a0469MzclsyALrZL77DpzrpSbPuAzjHzq9RE/8PoRb7pphS892uOjX25w5FSNPScbRCshSegx9Dyksiuxwv09rDZXmTwkC6BNTkqm8h1FAXAsiLWBlEKeFKAuAzspwF1+rVN0qjE+eP4K8/P7J+uzN3xPt2/+tNVYPzg4J8CNOSKiUf9fffpTf7jh3d85x+rQECcCfPBbMSZOSSKFFgotLailVmiZ6fOis91oaRuQS6McstaoMnuXb9YxMYXudl3xUmg7+kGmhKGdpJqkKWcW4fY7PQ6cqHP3Q3VOLtc5eKoJYYhqeNQ8RdMzND1tXQTfEHp2cHzo40Cc3aW7KwdwnOZ24PZTQt+yt72wIg7Pw+4jDXxZtQer2nXMK84bCFyPY+Jzxa4BF2/s88yhhH7i04oFIw8CNxNQlQAupbAlESUmh/HCJ5EHs1kPZZz6jPyAdj3i+1474mVXdzi53OGOhwMOHQ/50mMNTi3WSAc+WnrEgQLp9kwSbkMCsiRb8bgek5elSu6PYx/t8q0LYONauzJgZ69jZ5Br27jxyNM+dzzgc2Th0OQPvHPwU76ffqB0bX1tAL//3s8iRfJdL79yb/NbbljmKw+F/PcPNXn19T5XXBCzbTrlol0JIQlpLMHNIkm1dGMbpJMgMmfsjMXztqjsuh/TJSL31E3JKXFSRKX4YUqcGg4dFzx9SHH7Qw2eORzw3OE6nVHIKArBD1Btn1AJGgrsdK3CBw69rE4jK5u1deGhkyVBoAgC6S4AU2hvP7WZRd/q/FoQY3TE2SXJyIR4niSQBi9LlIxp8HzpNpCaot8xdX64wGN2OkKqIb3Yp+8J63TERcGYp3QlAykzkxogWyUR+fiMNG8Atn/HT1U+fqI/Ctg8FbFzU8yLLhgxiAb84OFVnjkScPuDNZ4+XOPQsZA48TChIpUKhHXJii8mx08geSFiJSOUzS3PgF0GeFqwuHbvxRpPaC48L2brdMIVF8S8+sURf/WlOnc80CJsn2LL1k8Q+OfesHtdgA/nP8ZKZ0k9+cwjor25y4kFyR9/ssFtD9T58v11JkPNzh0JV10W89rrR7z62gi0Jgg0tYYB7Q54KkgTJ1GQuVOSedym5A27UwJYX9vzNLiaiziyWwgKAUdOSP76tpB+rHjiuRoHjocs9AJGaQBeAMpHtRWBFNQVNJShprDjzJQrPFKWtQNf2KRHGdy+JHCyJAwgDHCuiU2Z2ym3icuIxtRrEXPLKbff32K1GzI1YbdXyUoGMhysXSGzcynyrOZopNgwo3jdTUO+9MiAY6tNBr60MsUDPzH4ceZZO49dptYupDzrROZ/Qxuv9Dcs0INUkXqKxFfEqUcc+9ZK9WOaQczLrkq48fIRb37FkH3HJU/u9hlEig/f3uDwGR+EpD/wSCPpyjclxitdxUKsA/BycVH2qBGJQWjjciuaekPj1zQCzauvjXjt9UOuvCxm1/aUyVAz1TS0m4Zn9tc4u9jn2b3PifN23KR+8/1fTP7du9/wtQE8TqHRmHrPdZcvX3PotOFf/840dz5SJ5WShZ5goQuHlzT3Pw0fuy1ldjrFGM21l8S84zVDV9QOs5OaF14Z06zZIpyCrddf0jKXZLUvePIpj8WOpF6TPLTb57NfrTGMFcNYcfpMgBYesfHRwgfPQ4QenpQESlCThpoDdqgMoTK2Btxznq9XMHeQ9WXm4FauR1Pk7B349uIN/Ux3W/YOghilIu58XPGpB1qowLN2W0V/n5vBMy88TTPHQzEc+rzp5gGfua/Dh++YoJfUaDod7mc6PM4yjibvFhIiu5KyYytLWr88j8SNePAsk/ueIvE8vCS1QFcpStlB+tP1hJsvTbjp0hgjRrztVX2Gsd3z5+++GvLw7oB6KFjoKJ58JqDTl04ljfmiFS/RgtsYaNY0L3xhxIbJ1PYGpIZ3vGbACy+JMRpmp1KmpzSesMFtRvSvu3HIe352kX/1m4YH7k2vueqHJt4D5se+JgZfWOrQmmq1P/jxD196z/2BenzPJh7bUyf13A5HbjXQwMgYzq5qzq7YD73vqOGzd7Ts90gNE1MpN1wT06rbXsxzyKQc3jjXYaWneOTpgM6qRHqKkVaMjLLMJDzsXGAPpEJKiS+lBbM0hFITSAuEQEGgihl9FuTFmGTfs40AWeNxGdyW4V1ZrZ8xeFq6J4RejDERJxcColGNcEISuLS3clV5lSxm1tFDkV4vQG5t1ij2mWopdmyICMSQQRIySAR1zw7BzGpIsoSWkuXyVpn/Lfs3svyDLg3B167orTT+IUld3kDZBJlKbAtcbC1XT6ZIlbB9g3YrhubynUMiM0B6mtVVwSNPe6z0JUpm2K66YmWwC6wKadYMN14TMTGlMSlgrJz0RJYTEejUszFE+YJJ4ZXXpLzvZ5Y4cuaouurqM5dee/0Ptn/qXSsdL5h8foAfP7XA2fnl3/jorQuv+sLd06SijfHTYlkpt9KUa2SNIcGwmi1B0tBZgdN3mtJytQ7Ac/0o8udGCHS25QLSAlpIG+hIO5TGEwJfOIaWLu3sgJ0/qtKj5zrpFW7rPXJw27YuuyVKGAgCj7zE1DK4Y3FPE7jsqO/HhGHM8QXNh77UBC/Al6IIMHN5sk5tdcknzoaEWrDZwTpR7POu1w349N0Dnjvbopf6NBK7Ka2tAjRFJ47KcgKlYC87prk5IUsFXtld57UwnqfwUwtm3wFdySJpplSKdJvxSueeSZniCY0wmtmG5ltfqu3wJeEwkWWBRKlYpUxm2XtaYhKVx2NpIkhzA2Jt4i/f7gbBtRcLrjpvQKwOvmrYPfobxiT/19/L4H/50duQUgZnT56i0fDoah+TOqsmB3cWHFSvzKpJ5C4271zMXVrG8koeueZRuF3DbI2EBbUvTC4FPGlf2+GSWVNtqZDIozQHJWPtoqu+ALjMZUsYmLylLQh0aXBOgu/YO/BipIw4ekYw36khPI9QUpEnUpSuXwpJWpYOFeA5pyNKfGbaI3ZtHrDnzIhB6jFMIUwFfmrwE6fDk6zITJfkrypdTSI/XdayNaVakEwaabxUkyqB59m/77mssJUr5VyDGxiU/01dPI90JU+R//U14yiqpaFFDFqyi03JeCybEXnzszUxklQxHAYM0wVWh18I1sv3rAH4oUPHERLSaEDTs4PPh0Y596MEYDP+Ydd7Xf5ZKktX5UoWoijLdM8zgHgCfOe92qSDdSi8LNtWelRjIM9GRHjKVs+VG44tuKV9DDKgZ8GnA3fW/ePpXKL4ntWnQRCTEPP5++qcna/jTyiCTJpIU3VQxr51zqwlfVxO+gxHdoLtG1/S476nhnSSGn3Po55oIrdCZQVRlSyj0BSdQ6U8Q6XYSeXjPbLyZU8LEiXwUjd1190TqaoAV469M1fLATzPLOfgLkoqcv4VhvGznyGm7J9XXLUKqsrlHNZ9sranx6CfkPRProu/CsAfe+gOpiYbL/2DP/vy9U8d0oy0cKlZ0EKwXho9/+zrLMHrZbpE6TGvCiwlDSQUKWJRFCwp957nZowUHTsZ2MlHIZSBnc9BUdh+xPUAngWcme72MllinN6u1pIHfkzgR5xZ1Tx2oA5egOfkSZaezxmcKotDdpKKJuqCVWXuicexz7UXjZiZHLC63KCfKBoK/MR+F5Uae4/LAMeCPP9DMl/i87IIbRybC7TSpFrga0GqJKmyTJ4o6axIXdL6Og9qpSwxtzQ5sHOAZ0yeF2eVHlkLCIHh3PAff0vkIDfGVmwKMWSxE15v6q956Re/cMu9b3jjLesDfNN0D0/F3/qmly+88LbHlllanLYAeZ6xFOPsNE7SWciTK+0So2WAFgIUVWBIB+rieeYckHvMyoHdy1vUCmDnz/PulQLYWfOtZW+nuT1yvZ1ZgpaxC3D7eXVijCDmc18Nue+ZFjL0CKSw87fzCsKi3LS40MezmeuNRrMTWgdDn5uuHPBtL+vy/s+1iNKQXiqppXZH4fyiFiWZIqVj8fKfOheTg/ZkMXDJgTtVEqW0ZXTXrJLV+qjc/tR525x0JQlCGITUZDtFFwxODvY8zCrDWVRBfG45U/oZlzCT0lALRxw63ePjX73ghTdcO/zWJEnuLf9sDvBn9x2m602+buHER7/38b17Weo2MNpglLVoPKzxVJ6bUWZjSsAtF+IUMX2x41eZuTPQS2FysGeAzspiy6Au1ysrRc7mXtZBn7F3Ceye64bJ9tnMwG3HKYwxt+vZDFx7m+9lDQdJ6R4TEfPRO9qkJkTl2ctygFn0NWbORkWDZyyeD8qR6GzUcKpIUw+Bzzte3ecvPz9iRccM0hqDVOAn5CwupUEmIpcN1i4c16KyZE2WCp+0IPVcj6RyIPcMSgu81DK6Sg1KSgdqicxGvslClmQypcrkFGxewY0pYcWUgDLG7mOvhSiLmELrK5WyZXbARONpJprnfe87v+NNd/3oOw98yatdVAX4VHNIu6kuuvPu7oW/8xE4vjqJDFx1WUkyZCAss3IG2hzQ4wAX5Q82xuSV5byYiDXO5naAUBnk5bub7+GAnYFcqbFhNw7YdiNZUZqPYpnb97PGZOOYuwgwvRJ7h37EYwck+0/VMMpHSUkgNd7YqiNLy9W4i0JFgxcNEFnSJ03tTgkXbo254oIeD+yrE6uAQSKoSfBTg5cIJ91cF07idDgSgab6J0WJxUVJGmU9ksVAJk9pUmWBroRxMkXaiyktD+6UBbhLUiUDd1mmlAvmCgIsAb8M4LJez6VN6cJwNUkIO5Nx2wafH/qWYyybsxeemUsuiuPkS2sY/Kl9PSZamvueanB0eTNBPSRUgkAY/JJkGAdnFdCmCugSq695r/y7xjRrtqznLF4uws9Anc8+IQe3UiUmL41p85SsALw8/Md225MDO89W5sydEng2sWO7gmIMMR+/o8HiYh0RetZ3L60sa2pQyutvySLMRmSU67hzb1or4thjw7Tk7bd0eexAm1Fao68C6qnV4lmsoiQO3NlaoZ0nnhXmWhZnTI/nEw1KjcDZME2lDZ5bIZTOVifjmpOLJpNy08l6tfoZ4PPAMwdqVcZUgF35+ex59cIxQrhtamwZyMYJ2NzSBHKRmt9bK1E+8Befxfckh0522DYRoslGDzs5UGLbHJxlcI+BOdNXaxh9/ORnAC9JlXVZPG+ELaYxyTH2Lk+QtSwuUV4V4IHnBgD52daBLsPpGfw8Fa/d87Ry95Tt3HnuKHzsthYjGaCkcpZldSbLeAbzXOFTzuLlhhDH4EnqEaYeb3/tkD//Yp+nDtWJlU9fSoJUO/dIINPyMTMIKXIHw960+1vVfYsqXTYavLw4y9jxHtKWBKjU5MM6y2OXZe7k6BzgZVCPSxW5DsCrwB6/CMZ1PIgxOWQbtz3StEZ/6RTxkb/FFuaWAP70/pNcddHWxr/42f9x/ujwInXPFHFtzqqmAsQyOHN/5RzMXrbLKj8zpruzk1R5LUqTqkoAyllcjQFcVecQqozBXZKnAu4sfe9njcnazgzJW8Syns7E3WOUH7H/pEc3CkDZ8gC/rL9F9fvmIC+7KCU9bMa9cF0eMm+1eNMXXLptyFP7I1IdMtABtdTWbHtOgythZ/zZxFKmXzVFIVTG5EUBXDZ+zcsHm9r3lGN0ezxtX63MWVxUtlkvat4z4GWrbhXkrCNVyq/LZFghxkqAahC6JH/y4f22x1OYiKmp1vkXv+jfNJLhP+97tfMswJ89eIZjZ1df25je8DNzK88QerLiW463K8nnAfC6QK582LX6e+3wHhucVQdDZjKlPFTTjR3LAV50u2SsXd7F2FdYV8WB2wK4GArkl+VJmb2V6+sMIpa6mj/42xaLgxoitLXfQebD5zGCqF7U57jlHS/ajcmoaHDrqCSJR7vh8ZNv7fKVx9osjgIi6TGQksD1UGbuUtF1I0qg0GRltAbtwK0xyDFnRTgGtyDW2gXx2h1jZXLXai3ATbF6lEA+zuhlwJZfVyTLeoye6/lCAlG+ONy389UqMxtaP5P2H703Tfqfzhn8jgeeo14LeWrPMeI4oRkGVXBXlo8qIKs/U9ba5vkvgrI0qbB2aWRBWabIYt5gVapkLD4OcGtzeU6SeDnAM82t86DS93QObt/1chYd+RbcvooJgoi/ucPn2YN1kD5SSsKsNFYUu0nke8S7L3vOasISm5ene2UyJdG25SxJfK66sM+3v6zDn3+xhvZCBjIglCJP+igpiEU2Anktk4syk2fVnGO9sVqBMnZV0EZYcGcWrIa0PD9FZs4NJS3umFxW5UkZ8JWgU1RxxZqfGb8gqvJnzYXBkFH3ED0l0OmokCjnTXvUax5Lk4pjoU03Mw7Osl4uSxPxPCAuP8ryz4j8vy+zXVmelFlcCexYsYy5nxfgsgB4nujJAG7snGwnRXxVuCV+aThQobkte/uenVq1vKr5uztbLKyGUHPuiSgCsHNJFMYbAkwJ5OO2XWYZZnvipHZ7vqm24p+9qs9n7huy2AuJlMcglc6eFM69EZUYRpT/mGPv7C2ds3nRUuZlzopyz6V7LSF1QNduhUqzgNNp/pzNRdaYkk37PQfApVlnZS/jybifEWPgLq0MGdu7gzuMQmRvgsSbQadDC/CHn9jHxtnp826/86GfOnvmFBMN5fa7qcqMYkzD+oCuJDRKF4K9UMQ5/jtRCshERYdX2Lw0UiwbiVye/V3ucLHD3amCO9vZIGNuVWLuNQyejZsoRk54ymYuDx8R7DtaQxMipJc35xbVg9WLs3A1MqRXa1EKJi8asivbgmTtZqkHxuOyXREXbhmyuKeOSQPL4qnz/EV1nokQZXC4v2ysJs/DT+PY3BQ+uZbFhN9idqHT5dKyuCy5KanIwF08itJQIqkLdi8zttRF3Jbr9IoMsRMbKkxeWg30mIY3RhDFdeL5BVpT4U9tv+hlT3SW9hzxPKnRyWhz6JnXrS4v4XkhcbpWOys5Dvb13RAy2SHWTn4dZ3M5DuwMGBXtbV9b7e1AXgK0ZXDcKOCyD16+uy2tVRncJZC7/ep95Vjbsbdyrz0vRqmYzz/QYv9CHYJCnvil4Hc96fZ8Irw6grhIP2ebPemSFo8ijws2RLzxpj4PP9cA7ds6DCnxUzfkM61KJQsKp8fzNJMDuTEliVKSK9I9l25VkdldWBbXJl899bhzpLMVJCOj7HkxFAoxDvjnkS0Vtra/Rwvy8oDs9xdlWoqlpVU2DOTrer1kczTiiLd9o2FywrBjk6ZWh7NL1mXIs4tynJmqy3DuqpQ/8PNKG1F5Xzr5kUuTUolpEaFXGTsDulIO5LlEGQO3qybMKwzHge0VA4LyEW+ediBPrDxRMfVGxAN7FZ++s8lgGEDDw5MCX1SlyXiAWV4B16J7Hf09ZhmWffE48Zhoebz5lUO+eF+fh/YGmKbPIA1thWVesyPWgKQAdwHyPDwz2KAzu8CUZfNUWj2eATzNWdyeizR3VEBqKucvj5/0WhOhDPjiM2bxgqjKGWmQGLT792x1kAaMsM6PLEmgZj3m5HzKkbOGOJREI4E3t9whNYYj8132zCUEpo7v6SKBUmKnrMai0MrrsPR6rF36uQrrZyMVSsCosvoYsN3FkLO3Em4OeAHu7NH3TL5toOcVI5Q9L6uYqwLdz9na3pVzToIgIo5Svnh/g+eONcD3EVIRCPLNpcrBpZBjx4JMphXP8wDTlRnZmu2SF25EPo1Al+zCKPK4fGfC61/S48kjdUZJQCp9BloRpIx9lswLZ4zB7WNWDGrUuCev0Uqgsnk1UmAUFlROumRBppaU5IljWi0qMjM7Z7lmXicWy1i/YGz3XJffc4xtrDTSwgJdGUCBLzX1MOb8HQsEsws06qsEfgfvR3/pVnxPMbfUo9NvsLWd1Y2YCsBVDsQxG2wMtFIWQdVa4IsKCCoB5jjASw21GZML9zofelNm7QrAi8mpObAd0O2MP5MztZc/Fs99F1x6KiYMIp45KvjSfQ36gwCaPlKIijWo8hM9lsVcQ9/F86JVUYzN8xtL+JQKsKLYp9WKeP3NIz5z95AnD4XgBYy0ZJg6R0Xb7WLG7VwciOwctAzs1dXEUxTSRVo2z1YV6ZhcSQv2DOiZB56tXjn5acN4XGXfP4dszc+7GcOUY28pcj2v3QVmZFaaqzFKECWSzZMhrfqdqPgxjEnx0tUVjJSEccyWpqBWHq1b8XZLgd7YB6xIjzUsLs6xTNkPj6j+7kKuiMp7NmIf98DJC6yyLJuXFVxJC+hsRvgacLu7X6p/tvZgYu+uaycxKZ+7t849z9ShZtvkgkyeiGpwmTF2fi8Dfc2txN6lNrZsgkLmqKRaVoA+Gvq84qo+b3xpn2eP1kgSHyMUA+HhpxSfKS0xYVp2VNYyefH3DUo5y1BaNrevBVILq8PLmDAWsEoKhM7Oo8llZkXSjsuVShxWuusyngpGl9rkK4EyBqPtRgfGNUsIKZGRx4pp0xtJhBxhjMGrhyJPxXvazaF24M7KTjNrrupwVLXyueQIoig6qrA2rAG0yJg6X/JEweKqlNEsZzNz5i7Ane3q4I2DW5kc0H4J1JlzYh0T+6hUTODHPHFE8rE7WkAA0kcIZVviMmuw5CyNH5cMVlk9YQEsipoUysxd0uBGoFPbumen0Ko8fW+MxztePeD2+4c8ctBOEoi1op8KV/DlPkvqWLtUh11eQ7KKRhRjQLdLv70ALbCVlKiSnamU09iyYHMhrG6XebaxHHwX+to6JNVVv0KYmZSp4MRdUML9fWmQxmBU0U1j3Njl0AQo5VuAtwL7H/tu+fBUGTyiGkCt0crrsPc6gWRVjoh13yu0WgngUlSWvkqqXhUxgsq34yg15CrX0lbS3BXWzh+zxE6hwZVK8P2EOE2466E6Tx+og++DtMFlkI8zKwVX+edfX4OPyxNTepKXzpZqRCrVhalEK+eopB6jyOfKC4e84gbL4oPUsvhIBAy13c0udzNSky/z9mMUF5kpdVuNA9wYCzTjUvdGWm0ujSU7bVwOIgN3GezlY6Gr9UWV85+5J3odotRjx1ZX7UhtBKoUHGfN1EJCoksAb9QskDxhR8DlkbEoLUUOZCoHuCl90Ew3laYc5faUyJej3Do8B8gzjZ0vSUKUpFG1BqW4AE2VwWU2+YkSg5fArQpw57rbzfqryBNlqwb3nxZ88IstRrEPDd/JE/LWNCVKuwTnmpuCvct6ZT0XpQT0yqDK8q7CZj0t7tEMJd//+j6fu6fJ3pP24ku1op8qW2WYinyeIMIgUsfk6dhKkkG9FHBmG0spYwNMIwzSWHBLafW5cHJKSoFwzJq7JiW2LRNYVX8XGKqSQinwlOUg1CC1K9l10khLiZZ2axSllM1uIki0h1Q+GIP6g9/97U1h4P33g4eOXga2Oi2z2YqUd1bAlGlfSXXKqdXH5R27rMvhakSEQLpd17J7kXWUzg2RxXtlV6TkjOT6utRzmQeUlUDSMXf+XjYM3+TWYO6eeGmpoSF2jxGpjPjzzzb4yy9NQhiCqqGUR0MZ6sq4cRTkDc5+qTWuyKSWE1HlY0YlQM2+nyxlRLOL1g4TyGqws+ZfgzCaHZsjTi5IHn06IBEShB2lhxB5+UB5JS0kU2lVGe+Xza86kTsr41emGbtAy8yv83JcxuKL6ghl4wax5tOFcXmnUrBdqXrEXuyUqyBLuYOi9MDuFLFt54s2n3/Jy77s7d5/bHJusfOGXn9EvebbhIEqmLyyZ0spSi5beXlyR4o1AaYoMVqWtCmYuypR8qu/UoNSDnRNRZ5Ix9pZIVC+HYcqP2bMbarBpJeu+6hUjO/F7Dsl+chXGtj5K5a9rfYuBd+iJJuyY5A9jgWa+QtzDnDoam1IeaMAk2U1jUSnilQ5LZ56vPOWPp+6q8HuEz7ICCMko9Sn7xIjuQxMs/KLsoNS9EJmQeZ48KlKQJXlu8iCTOtwaF144lpSlbLlANMdq5Qqw+c/A0UmlMJRy6SOLjs1pSSUNtnWNRJpRuhk5Q29laOT3nJnRKcfW5rPmbKaDpclgBc+ZjU4zCyx8gcbvxAqy9BYUqTqmxYSSeQgNwXYs+6eUkBZ3jJQleRJDnbH3CqTKNncDxdUejKx2lslpCrhs/c22b2/0N5CyHxkRSFNis9a1t1UXo+zZrXTsNyAXMwxKQ+KLzrftZYlf9xKlcsvGvGml/Y4+JGQKFUgFKlQDIXEdzJF5IFu6bnT5CYHusj1kjHCOhXOwlTuMQO3Mla2GCMs4IwDnynpbndcdAUDhbZea06UCGFck2tTwVBZtlpnx9jaGWUPtPIMSo6Qoo8X5HNCirEKXl7EVMqMVQKoEnuTuSXrg3ut5i6clvKVWAlcy757vm9M9qVMEVhKV5CfT3qyLK4q4C4Cykxrq3zuh0vwyNRuiqpSfD/m0GnF//hkm6H0LXsLr9Q1nwW3peKi0knKcgDPWydbCuTIl1ZTWo4LLV5ocDc3RUmUVqTaI0l9wjThJ97S42/vanDwlAcyAZESC8FA2G3U88+ZldHml5ypfqASkxfsXYBblS7A3CaUGbDtljbaxU9am5wQy0BfzwOvJMgoPZbItFxjY1cK+7syUtZa4Gkr3SR2MkGqFV4jhEZodzUI863qKPRyySHIGZsSoEuBQdVByUb6jjsmY6n+shNRAnzZU7UALzF4WavKwkHJQe4Cy3ynNcfWmRYvAspiRwhPWe3diTTv/0ybk3OhlSfCQ0hZWIOlyH5Nn+oaB6W89dTzAD0HfLnxQJSsw2xwj1wTcCaJx/bZEe/+9i6/9sGA1diOOjZGMtLK2oZpZls62zBvQijkSBH5ljQxBuUuA1lm8wzUxuQuihH2OwgBxpkO2gWnet2AssCDpsrs+fFb773clLAXberArqTtSjLGuk39oUL6tiEFpewwyjCwAM+3ds6Ze30wsy6wCyZb98SfA+SVGoZSN32Vwc0YwM0YkxcSJd9pTZYSOeMTm1SCkvbuqRgvjPnE50Le9/E2I+07eaJQQhII1jYVr5OWL45R6c1zQNyUcUU1o1mU0lYrDSultFKRSo+al/Bjb+ux72jABz5rtTgoUgRDIfGEsYkfxPMyeQFqUXzATKpkksQYlHGgLtWEaKfJhSj8cZEzd3a+zVomZy1+cgOqktavPi9nvIUjwMRtNuwpRZzaVc/zlST0JI2a3QcyK2Cq6maR/0FKVxGsvbLEeqDmawO4cNnBHOSl4PKcAC8xt8xYWzrNnW1M5RUbVJWrBItHm7VcWoa//UqD5ZEDt7AAz8fDZUuiPHdyZ108iyqoS/sqFXPSjWWyvPtdZy1l0m2/qMfAbaWK1h5J6jERpLzlNX0+dW+Dxa4CGYORxNqnL4okS574qQSbxegdTCldnweXtrCqyLxaja5FWarYlUYKy+balCSFqLK4PU6metzGWJoyg2egF+sAvmRaSAmxAk9IokgSJwKv2VCMhh4TLZ9a6BWBkTt5GYorW8hlgB8jqXFAF6WzzwdwU2FDlXWElEEuqqBeA3RlHJhL+ruksz2ZlrKXBXt7KnGPMX4j4XN31njo6Tpa+uTTa7PgspS1LO5F3YQU63/P5ydxJxHKJbP5tubl5mAq7kpqJCqXK9ZR8XTCjVdFfNuL+3zo8wGoCJtKkUTCY+BWVDk27qO48IRj62rgWWhxy9xGFiuNdOxtyuCWVNi8zOJFmWw5b1K+6Kjgr6wSsqNVJldKOBMlrBkDKz2BDATeVFtiEsnMhJ3cmmfY1jkZa34xY1fYOV7LfKkx64K86OcrJInIArmyPZiDu7Rlt9vVWMn1wa1K1qDMthh0+tuTKUrawe8Hj0k++LkWZ7qB3e/abkiEJyh2bMg+M2s95spKVwbQ8wjwvPFhLINoxjzg7G7KMiVj8VSipW1r29RM+YFv63Hv0yEHz0oIYtAKLSQjYffaKWpmxlm8KlcwWCdFWvAXWtwed5vCz5wVK30s0C2ITYWxTW4hF0xuCnOi0mFfyKdK0J4zu8mxVTmQIlsNDdEoZWk1Qfgar93Q6Mgw3S62U9YlHXiuWxnE5T+41iorWpPWFmmVU7hmHQ2eTbAq7cBbAXhVoqh1wV1MSFUydbrbAlsqO0RzlGre+zdt7nmsbnvbysGlyIZ/FhZlUVOx1iIs3BSqhDCG9XMmS6g6KuWd6YoyWl0KOBUy1STSQyUer3hRxI++o8MvvjdglEibgdKSRPgMsEm3YoVdp7KwvKqQjYPPrEPL0Ma4JJRrjDDGOFkinGNS3T4xy2wWxycLQt3aUZF3prBW839nzecUpeNYHC/QWtPrx3T6KWE9wfM9QxBoGvWUVCvixLZMZUNpQJSWLcqyrcJSxYc7t2SpFLOPgXxNcFlqaM226C6zuMwGXcpCd8t1wJ2l4lVeZ6IL90Qm+EHCHY/4fOqeBqORD3XPam/H3mFuDVaDyzW1OGVwlwAtxla+MsJN+SQ5H7oCbl3K6ulyrbitMpRaoUy2m7R1VOqNhLe8YsBt9wy4/REFKnYnQ5Lg0a9IyAw0VfAY7FCh8iqjZGYdOlBjz5EBZw1adjfueJhyCUPupGSrn/Phx0mhDOriRY6tNceuMsDUjoaOtWEw0kSxIU7AE8KWltYCTaqt5Zam2WB2+1/r3K/9B7D5GIuvB3RZkiJlRs8Zc4y5M9CvYe7seakE1gI5LR5dQkdJOyV2pWf43L0N9p6u2QmcTntn7J3vESlKF6Cg2tggyiepDOjn0SfZuTLkHtua9HYl4KwO6cyCzlRLpFCkaYqUHvHI45LNMd/2sh4P7Q5YjVz6VUcYBLFQDJ1UWa98FlwTgQsqFZDvUCicy5I3Q2Ta2zF4biubXJNbaVIKKKHUT1ld8ddgCcMadsiSUZQlnQV3og1JAqPIOMsQvEYtQccpjTAlSjUyFiSyyuLFQRfrAr3K5KZYoql+AemuwrIUOZdUKeZuFAFl8dqsmXqaj/nNwV4Mbfc8p7ed362krT3RpPzF5+u875NNjHDbojj2VlCyBovU/DnlSYWBSiA/B3uXHysyJd960ZQymmNltHlW0zkrUpIahdKaOPWRSvNjb+5z4JTP+z7lESeuvkBItLbWochGY1O2DZ9HkxfXIUYaVzor8sDSCPu7jCgYXQsQppyFrBJdHkxWNHjxt8eZ2+SZ1uK1LrF3qg1xCoPIMBgZBpHBC/zE7fmoMbEGBDItxupWm2JNRaqM1+lUr0BTAXfO1piStVNqYyqzpMQVFpUYvAT6HNS5LDFV7S3HmFvoAtxZvUkQc+CM5FN3Nen1AitNZLYfZJHYKWaVrzP3u8Q25Ys5W1jz738OjJuxF4byvVRIlBUmubutvSh54nlrm0RKO9Ow1Ux48yv7fPGrdQ6cdhkyLQCFFoIRdkRnzpQlJs/mmo3HBCpL6FAFtMm1eHFeTc7eONkyZgs68OZKqUwOOXuvJYKK60S2F6hxm+pagI8iGEYO4FAHAnBLjafADm90Dadlv7YU7Z/rNu60iDGwC2cDWi22TpApCgkiziFRcmCPA1xWwW3BXmQrM4niqYRRrLntwSZfebxeSBPH3lI49pblwLIYelP18KsZW8rPv4abKQGb8WPt0uJGVVncVJI/TqZoaTflTTVaKJKRx2teGPGaG/sc/4LHSFuTEBGDhgTPSpUKisbkiimdSAcsKW3gWQa6FiZvUC7S8laTC2F/hkwWCTO2qpfZGgr9XQX3+LEyTjdn4+dS42SJSzI1aj7tZojXmty10h9EX0xN/TuESIsCJ20tH6NFPielWj9RLCXjn6TqWxYRexnUVQ+8/J6uaO8sS5UNXs8litSuilCPOShFrYnKPe80z1gqlSCDhLsfCfj1P5sg1Z7d30Q4Bhfrp+XHO8ErNuE635nxw/O8KB9j8Hy1LCSJ9Z+rHfdS6krNuJYO7MYOCwoCzc/+UJe9J3zuflihA6cNs6DTKIYOpcKQ92uarPjKaW7jbEGVOSYZ0E0xOsKIots9978zwFOwer6yueOiHQGOW3/Zv5sKe7M2Tsn3Hcoki2GiGbJxQ/uLl160c0W98qYtveWlxYPAjwrisTqQciKjlL0ba0TIEjPVbOM6BVKl1zIL3lRptl7F8svqokvvyaKIqsLauURJxxi8kCWeS+h4XsKJJcGvf3CCex9vuj7LAJRtSVPKzt+uSdzObW6miqze184mz0qMq8OIlGv3qs5yKY5huUspbywpuUY5AYzbp9lxz4nCTVyVpRXTGDbMJISe5qGnfFYGpRJId2lqNwgod3sMeSYxu0IzmVEgT1RAt/71Kqoe/zgDk61Wovi3kkIokl2U3KSqJNHaGiLZdFztSLnVqrG4sPADTz713F6vFiQIIdFpSppaaVJtnXJM7uZJK1OwTPZ1Klo8Pw4lG4iCxQvmK82+KLF5eZh6eahjIUnG5EkO8HSt9s62v3MZS6US0iDlg5+Z4NN3NDG1jLmt743LWma7NVSzluT7CK1bfpD/3zq3MXYqy7wyM1GKc8oxT7mlrfDCTa7HTZm9tSQVCqk1qVTIgeItrxry3KEev/EnPlGYVLSUQRDlQsV9yazzXhT14irT29iL0riiK1uPUgSauhSIZ/JkvSFQ2bWyHnuf66LBFEDPLoi05IFn/z6M7BqktcYLfW2/iEpJkxSQObhTbet9syIbLUVJI5rcVRkPvCuZKApAkIGZqkVYmWBUCSyr22Vk9SZSjAF8/O60t5RpRZ5IlfKVh0P+7PNNhqlnM5bCZiwRdhPTIKs5qaxahVefQ0MW4dB4cqcabJYOzLq3Qo4Yh/pKl70xuUTJC6+y1H026k0Iq8EzkEtbL661RyrsDnE/9K097n8y5PbH7T6k5WDBaEFUhMYFyGVRo2LcPJI8wBSgEBbcogC6kBmoKaXpTWnsdnUwUn5kni8gL8niTIZUOoRKEiXV4MfGlfGCN9EcIIQgSROiUVLKkLlRAa7gXjoGry499luNG0vCXfnVtP34nLkSuCmYvLwVRsHg5R2+SpshiTFbsBJMFncpU5SX0B8JfuVPJzh0MsT4tjlgnL19WezytnbeYOnCpMpGBYTXvPG8IDdjz8vFVxUmrwSf4pwBpxbu/AmJSJX1yCPFBVsT/tMPr3D/Twd0h07fmDinXG0UkRZVJtcFiRlhn1uP3OlybY9RnujJdTjVPIG7KDLnRJaOmyih/HkdJ3dQcvbW9hrUptiZQmtBktq5Kb3E/ow3MTWJlIrRsEtX9wBFoiVJohCpyAvYUyOcfFl7Va05jSXvspzoGQd6DvBcX2bALr0uSxJR3eWr7HWrcXCrNE/o+F5MksIffqLF43tqGJltBZ7JE8velYrBcXlSDizH76ULW1SyF+OYNpU3yhq1EmiOOyllII8DO5MsxmBMkcK3LC5JtWePqTZce1nMT35nh9/5mwmiNPvUMv9MWipGuvTBc5CDkcI+Fzigm8L/dlLEuPR7BvQ8Q02J1U0WWJYkyvMAvHKxQ963mZbYO3HjIlINcQKTGyaYnGzbLco3nfedSK9Fb+kx9OhjGGpEiXInTZIg7QfR9oPlpZT5H16L8PElpwLwcfZe53nO4mPOicxB7jYlFSVJogq2lmUGVwmqnnL7AyEf+HiL1YFfkiYeoArtLUqDc0qlAnlwzbmAvZa4iwX/HKOTx96rWIWUOmvGmN3aYpmF6xwWYYko1RIhDKmwWlw4NtdCkSaKdk3zI2/r8uizAbc9oKCRI9P9cuFAXnwTI8HPUtnOKrVDabPaFFNocHe52FY2d15NWZePOU5fg0SprmbVAFQbSFIL7iiBYSrp9BN+8JbreN3Lr2FxpYu33Jd4vs9qLwG5yHRrkqVOA63dDgBZoTL26ssqtrIgc30Gr7J5EWCst43F2Oy5MsArWnx8I9Ky7s7AXRRUSae9pZ+w57DH//hYmwOLvsvoKUctCqRt0StmnZh1WbsM7ty7HQd7qfINce6Ac/wEVmTKGHNnZ7bK2jbANKLQ5iJLBknL6GmJxbWQaKlIY82F0wn/19u7HDnjsf+kwHilq9N5eloqRga3W7so7MKMvYUpAO12YtOm5K6JAujZ+a6wdoXBi+OyLsDL2d4xlyV1o6YTDYNEcrYP0hswsyFh46yw+zM9dzRkoh1wz0N1ju73+bdvGxL4IcOoGDiepdYzN8X+wTH9bUofUtg3Kgyef6nxyf5VYGdeeMbaBcjLzF0OMNMS4EsyRcT4YcKZVcGv/EmbT93RwPhFGazttXRZS1GqGBQ2Q5exuHDnPUtQ5AZbRYmMdaOMn6wxhq9Ik3FgUwrsMsYutbJJx7hV/9u1hhmbgbaAUqSpfZ5qg0jtJq2e1LzlVQNWR5Kf+W3F2RUBoYsGM1li7JbfI5EtKCIPLg3WbPC01eVKWPkiscmXspMinSQpb3iwJgj/e0BeZvDsOJVr5bN/HyaCMBjw4996hu+4ucfsZs3myRg52fLYtjE4I2l8ae/Rq7nr8SniJCBNZZ56zbOL62YTy85FmVlLhVCloqiMhcv/XdkCVNJ14lR+V5awWcvcssLgSf7oeSkRms/eV+fLDzcweSKnJE+EQjlwj7N3tTCs+l4ZxOsHmuuz9bq3cQrPTmjJ9irmiIyf4FIaf7y0VmeAV9ZRMR7aWKkijOC1Lx7yppf2CURia6RNYu/a3U2KNhBpGBqItCA2EGtBkkLstG9iLIMmbq/NJNuKMKV4nnvUImfd9e76ed7L/y3P6NpjIbCzaWqe4eWXa15/40V4YuJL0aB5ZjSqod7/R7/Hy17ykpUNbbmyY5rvEfEqjZpX8rmrEa8oX51jFX4VSSEK/VrIjLHmBVX8+7lrvcsXTAn4Sjut7YCuCs3tqYRUpnzmnjr/9Y8nOHwmLDUx+KDcKAhpN7qtSZPPPMkmZHml5FT+WEpe2UFHzi7LZsi4/tV8hrmsPrcbp1ZLbssJm3LWNJuqm2Vy18yLEaYi8ews7bUBcGWvyszR0DDdTrj8ooTjZxX7j3p2qE6ZVnPmlqRkLkh5iRbVn82v02K5WhMgUlqlTHXP+cyd0+vcMzdJ5/9d8XuzZFm7ppkMBRtnryIVG//vQ4cOP3jZVa+we/RctKOH8mJmwj5L84ZRrAh9my3MlhYj1lqCY6ZAlbiEqfjh5b3Kx7d7XrMNdH6RuP0XpXbZPW39cFWSJqIE7oy9g5Tj84oPfLLJ3oMhNJ0lWErHI+S67J0Priwxt6xIrPKJroIpkyrFd2btKTfVA7ZeNjCfG54vy2utwkyulG3CVFgtLstVh1IijEIbjXBJIGE0SaS57MKYH3prl4efCTgyV/rAMtNH9rlBEWkbSNqgttDj9rkoejPzVVDk7oow6+zlVJIkeVn6uRJlpYtlTYkM9sIPPJhf1jy2b0RfDhiNSptQXXLJhfhBjePhiN7KIXuI8xNlKPbBXMfmKgN7LLjMT26e1ayCehzga/c8L2zBItC0rC2FBXfVPbGtaEsdye/9ZZu7Hq9B3QWToux7W2fIE9YarDJnaeUZOyHlx3KzceXCrpLaOW/rqBIHVl1KphX3Yo64GAO8cGC35Xz5ay3RwmbzbPeMcsdfoYUmFQbRN7zqhSP+5bs6/PKfTrDcd18qF9LkjwZFrEt2oMw0t8jrUCxBFMmfwj0RzjbMSggKy7CMm3MeP1PlUrPOz9oiK4/N23dw8eVX0O8PCoA3JzaDd+Ftx04++Ouxbv5MTXZyvZtlHtc7NeMnqbK6ZT+RX7mm+lhZYqsAL15rx+i6CDIzF2UM3Fkh1VAa3vvJFn/y8Rbd1O3ZXUnHq1x7Z7agbc0tOSWcw/Nm7Hnpwi5qm8XXDPRqmj57r9ThTnlZL6fsWQP0fFC9sxFNloF2Ayu1tuCWxpBqZYPPRNPyY370bV3OLkl+/0MTDEo7f+f7yGrjQC5JstJYB3YtwcP2bEr3ybPmZOEqEPOUvcmOURHAI3KYZE+rxWrPc8suFPtrDFtnaujB4q+/7ubLb3t876kC4MK/iAdu+4V+3VOHazMJkghV+P9fU6yU/9H8h7NVoFTzO2YPjutIKXXuquTALrO30I6py4GlZW4pE4xneG5/wF/f1qCTKFclWGZvmbO3L2zGcg17i9LIuLI8yQPMUmlnOcDMieB/5mhVV8HCBy8zd+GmyDFg65y9RQ5qu5+NDcKEsw+1FgghEdqghbQs7tyWJDG0woTv/pY+X7o/5Il99nfkDO6kg53O42GEJNHW59bStdU5ts7YWwuD0lamGAqbsHBVyGO8cm14jjXzNRy40pFONAw1NAY+ew8vHv6+n/jl/l++9+cLgANcdd0bkapBd+5Wls8cIUpbuZNSPWnm7/+jpQ9dsFyJwaWTPSWZUoBdI0tJHVFmbqGtHs/ALYq78jVPHQr4yV+f4un9WSq+rLkdyBG59laCdVLyRV9pma3XFFmVjsq4n5tdBP8zUDelx4r3WyqNyHoQLdjXypSyLtdGIrXBCJvllMbkWU57nCVCSwQKERmuuTjmPT+zwo/+N8HTBwT4uPxHdgCyT2i5WiOJsuSftMVYnvuYyq00wh3bbFXL6sNlmXmz5xngvwZU51LFpWgSLVjsplx34yX88NtfRqc3ZA3AG81JhGwh2pqk06MzqFs/1OQRwNf2ASj0d3HyTeEjOyAXoB/T3RVZUvjf+WMObl3obj+layR/9MkGTzwbknpjzF0qqMq0d7lTJw8sx/ssx0C+Ro+L6vEo9HjpDH4NR608kyR/r6y7KafsTRGEltjc/jfZnpeuG0tIG+Blz3EMrrUFuFDu3zUq1Vx7xYifeHOPn/0dj26CZYFcppBluPKbRhJhLTzfaXHtjq8UbtRE3rJmv2degGVKgXtWv0IhU86B7fHeY7SBUSpYGab4vmLL5ilqq/38Z7zih0OEqB8wTB3UYvpCrTWQDRUfY+Sy2l/vU5R+3j43VQZ3n1RWAK5LLsp6IHfBZcbcJXD3teADn2rysS83GKkyY5eY26G3mpJf29RQ9b3L350iU1mi6zXuCVUv4Hn1ZIm21zJ4MUmqKlOyi8FCIWNv4ZoW7HML7ILRLYsLI93mqhmw7cQTgUGkhlCkvP01fXYf9fjAJ5v0YsfkmfOj3TmVlqezb5xim2JShCV+Y1wRltvfFIreTLLFQOTXi2Vw8/eSZ3nFrJwGnbJxQ4vJ6dbBdr12YDRK8v9GZk9UeBHHD973pcXOrg8v9y9hMFRoLd0vNJUAr5wuX3MX1eeFd12k2+U6iZzi33XFLSl73FKmCJEiSsmcbiz4k083+W/vbzO3ELj0eympQwFuyTh7jwHbHbQs/BhP1VcSPOUDPU7WlTN17tNmnufNSvcU1edFI0B52HxpClZ51riWxVzDNU3LpbtWJIlk84zmP/5Ih3/+5h6tMHEdBTbxY+/lZFACWttpXNomf0YaRkYQmywx5JJCRpC4ytTEFUsluvSYbbq13l3b/zZ2j0k28QFr8dZkwksv38A1uyY//Jlb7/vSNZfuzA+nVz62/VEb6dU/P4xq3x7HzRdCZLfrcMAsS49x5imfzGoRe8HY5RqUaoCpGbcHRSW4TJ0HXq43SREhfPrLdX71/W3OLPs2U1ORJoVFKBx7e+uw93jW0ga848HlGLBL72cgF+PA/hrsgPEgM9fceR02eTFUVoefTYAtM7gsW4jlBMo6mtwYu0uZzixgx+gYSCLDlsmU//gjHRY7kg9/rgU1CqlSvuny9Ws7g5KczcE3Nt5R2ClZMtffpQaIzEER63iBJUzlx8nJG08Kdw4NrZbHRE0+sWO28fnV7qDyESsf+bJrbmHfs7fee3ZeP9Lt10i1KMYuZDuQ5Z0yusTIZi0DC11hbJnXl6y3ArgkTomxZUWOlMHt0vEBHDjh8aHPNTk978DtuuKr0sRu6ZElccq13msKwEogH79sK0X6pZ8pMzlUL4KvNcg0ZX1SAXtOF9WkDyXmBgf4tXPFTb7Xj6wEohlrm7GB+tljEkm2zCa861v7XLgjgqjE3jmTp1VWN2m+7ORsbuw90hAZy8CxgdhgWdwxuGVxkbN8+Xms7X8fG7c6pDDSgii1PyOFYabtUffjRz766S/f+9bveF3l2HrjB7vWPB8QqKRDI1ygFkZ4KsnZuwhkigO65oRR0tru6izbg/m95KhYEDsXxV0cWdGVENUSWBkYDp7y+M/vmeSOR2sQSsoZyrLfnelj65wUFYPlkoM1SZ31WJ3q3MG1rzN6+RpRvQ7I8xT0WC3KejX4NtGYMfe4L+5Ym5LbokXO3oVmd1rdWYZoG3hiQA8Nt1w34r/85Co//54JDp3C6nG55pNT+InKPbc/lGKlRCrAM27lpLRpFaZI+lANIPOL3DklqREkFKl7JaDmmhwuqNe4+vJdpKke/3BrAX7DzS9DCC+aO7yPqLfIZFNjkCXtpvKBM3ZutFiTfrbnugB1JlMyYMNa5yQDOYzLkgzwsOKF7wAALXdJREFUiWV+33BkzuMX/miCj91WJxJuN6qMtTPNTQZ2kSd1PFH0VWYHOO+1pHSgS1Yh46z9PAAue+L/0FvZla2k10xxwnNNngEbHIjJ53XbrhebzRSldH62+50REp3tZ6kcyGXhj+tUUfNS3vHaAamGn//DCY7OOcRkkWLWXp8FnAbszGMHdGM/T0qhcJQDus18ugDUJdrWOxbaWM0eY1nfaNvYIYwhMimyFeNPX8hrXvvaKI7Tvx/grclpYPqnP/z0lVd8+DNHX/XT7zjIa64zpKlPFNtZ1GnqIciWPmv0rznZJVCTg8ascU/KDkoG5sIutDJFSDu8R3qGo/MeP/t7E3zi9oYFtxqXI1VpkrG3ysAsSqAWGbDXGQUxHlC6dWmc5SuJn8r3P9eLc4B67I1cemDGwC0qOrw8s7tiI7q68XJtihizEYUUhS8ujft5C3KkwaQGn5Tvfv0AT8HP/d4ER+cdnjNHxaixbyLHnrujJ4StBMTqc5VdJ+Cm065vziUlSWNLCmNII5Qe8YprV/nld3tMbtp458zm7T8dDXp/P8CFmOEjn7itM1nfsFeK9sv/24caSpseL75syEQjwERWwwkEQpciDxcgVALLdUFeBKzl1+QypUjoCGFdEyk0wjOcWvb4j384wSduaxApyVqtXZYp9uCeO6mz3hD75/HBRalZdhy7FQlTHvdb/T2IElBLEgTGCqrKIKcAu/vBKvDXdN8XMoWsfNYVYRXAFzmrV5jddevj9ngwGDQGD83bv2VAksLP/N4kp5ccQrNmGFmGZvaFSkyOW+WFDUQzRi87Vhngy4ukdgBPc60SQzJgY6vHjZd3+X++p0PgXZR6asve5cO3dy69+rVrAL7eyoCS0AgWf/IXfjh+anKiyff80g7+w3sn6QxiAi8t6ggyMFPS1LluLhqD88KoSqHUmAyRxc8U/+aCTWVIPMH7P13nY1+sE2XBpCzLkXGZYivcMluwvMV1ZfxDuVIQt/JQAncZyGPALZ+Nc1fojF0Mpdvfm5FeR4sbOAeri9J7xdiPcmlqvjWhls4bl65TyL12QacxNlNpjEIbhU4lXmp4xxsG/Mh39PFSDTp1fuS4jbheAKqLu7tyM0szMZAAUcbU2Ht2Eej8AjeQpMw0+/zqjy/wF/+pw9Jq/f/f3pfH2VHV+X7POVV1t773dqeX9JJ0Z983AkkgC0ICKIiKiuA46uhT1I/LE4cBhuE5Is9R5DkqOgLPebjAzDwZlEFweMPiAkQiRDYN2cjWIZ09nd7uVss588epU3Wq7r3d2TDAvPP53O66td1avvWr7/n+fuf3w7d/Pv6Pu/YNfdrjpOYlrAnwyy+7ALuPlr3ndy8VL+/sBCfN+O1Lzeg9wGD4Fa14LF48lNbUWEoR7Szq/3VQ68AO1BLlgpfghkHw2NNJ3PtoGhW9mE+V1Q41b/jylOH/D6w2alhp1LHgMe4d5+DxbY/bP18H/YFlroV5EUT3aPw7DvTw/sTlQvnOjA5cVnq5LilyTuH5AyaEoBCcIOEJXHlRCWuWl2XdzQjIR1NXvNg6PPLEBkPQhDaYWIQAVYny4VFMaXexYgGBY7dg/qQWfP7KyaKp4Yg3e8GampfVQJ224sy3olQq3fvi7/tmbNh2INPcYsE00iiVDTieGQbLqJejsoYI6QeCad8yBkqJr5wE3NsLO5tE61gyAWIAv1ibxHXfyWHTLssPoNI7kbXoieR0hupYxlSSqvhuUhv0ERBHPvXilgVIbZsxdospJtVg11z5yj2v3PmoducDyqupeTtJXBv3aYlPe4gaaOl3PoWKARc0cOnPm2Ljm1cP4VoGPLw2JcHKtJOo9cTqSgun4YUXJLKuIBLggoR6jEmkeOMxAseyMGw3YMtOC225HDwysbB05YX3Wmay7mVl9Rbc+b1vYM2aNc+3t+Q+NtL/an7VAoapnbI+I+eh/KYPaVPWO3DcUK1jFwxi0C27FvdNhG+5RQhuk+DBp1K44Xs5bNxpyWoFNAZq/TsNLbgsPaJJg/H0cSSsdV/l0QySbqqXRVgMV46w0UviqWVhmUWZTFSO4pE1HtWIHvU9NjpHJSPVXk7xdfTfC4yJep4Rhhao0T1ATOOv9zBr9xDad7mD0DkXCKFcoLWZY+EMF68eYNi6y0AkbrXOwxvThOrwMxKsrvwWJpFFCFIMaEgQJKgJeA0waQpdPWfuPzow9KH27jOdej9d14IDwKKFc1AcGUZp4GVMaBnGcKEBQpSRtFyYhhtcgCBbVcQqR625ztF176VusYNpn1s8+FQSf/O9HF7e7ltuWqNTifrWO+KOVyBQsd81O5LRG1zLgxldVi9FMhn1flfdf92Dp93/gE8rryapjllR2wYeT38bFcEU6uKihvWOqSt+6GvoTPKtu/pBPz8atTnmTXbw1c8MQQjg39emAHi+dIjwgoVngVArF/K1QPxXhepmEurPD0FOIPtPFpVjLtOGQC5BsHsP0JhO49wLpiGXy416bUd9nzY3d1Vax+FTq5blC+l0ER4ncFwDric7J+ErRo8E1D5Ud9iEOUtkTInOt3mgllAGCIPg4d8mccN3c3h5pyVNcVW4n66WhKoJ8Z9aQ5cGUUcxQTWolR3RgRzpYNa7WAR1icuo4NZ/s97C4EEgkY6nQn1cHw/5tpIAwhCAeHYsUYuLcwVuqnFzGp1nA/MnO/j654Zw8YqST559ETDg2epTpwMa4e1qvZCXA/J+GVRCIGHIcbrDFQdDoq3QP0w+1Ta+o3LCAAc/xJvbutdb49YMvfBKA2ybwfPCiyEBoHRtXd7jmrMmmpAnsNKBWhIOYiAM4IzgP9Ylce1tOWzcYYUkmsQ5twZwGnYsA+uN8DUXBkzpikl1CoOaFjwAb/CSrnb4REMJx34Y6gBdx21EJhShxzi04PoAXM19r+2Hcx281R1O1OiAVgNfD8piEH6nk3MC7gBzJzv4X/99CG9bXgLjqixIHLT+B+p7XHXhsXkikBODFwKRdNI0gLPnGvj0h84dmjG9e/2+A4f5aNd1VIATswOZzLjDdoVcfubCRU7F8bShbCpAKhoBGACWeBGQE319Ddiyg8ml04ER/Or3Sfzlt3LY1GtK92Oclii/Y2Se6vpFg6n0RJ9RT2UtjVqTB2thVqMr0NaJiycnI6TEwa4DWgG9ah6iVlkHbuRBqZIOEaErSg/XQR3KhywIz1CRhxLsBNwG5vQ4+NYXhnDekooEuRCalY5b8hpWnbuaNZdAF0LIdBSC+OqKTEkB4WHS5LMcxxGXN+byhzva20a9lqMCvG2ciUMH9mDKpMl9U6dO25HPM2SSRRix/CTUz8WtJ96pstg+DSFa4JScBxBGwRnBY88k8blbc9i6ywpqygQUJEBYSEfiSA0i1xDl3fHEmXFVRAdslQzob0C0mREAj4Hm0RbXUkzqIT1i2TXNGzX2IbT1ghwqiMqIcZDLB6I692Ewn1OEMUgk0M0FJxAuMKPbwT9cO4g1y8o+yJXuHQe3h5DGxCRFPQzXz8tS8QOtHA84WuRINGQwbfr0HRMm9PTt2LkbhFgnDnAAoJTigcd+0fvsloGr+p3JKNs2gtJ9QaXgMP92EO2nD0xQVIXo0YFcGmJLWu5frk/i6r/PYetuE8LUgRwfwKBNB3EnmkteU0Oq5EGEikGEftTg34HVRjg9lmUmsYkxHTnx7YkGai0oRR/0ENlnxPmjPSARkSJKU8L9VVMXHqEpNJJEqMqqq2kuExLBAWZMdPHta4Zw/pIyqAr0DqhJnLqoj5ZwSLjSW8ltwLMhuAuHC1Q8P8MxdXDlpRMwf9rBqw7s+XkvY2NLssZYK7S0deHIQBGZbGrflj82PnV4155VDem9MJiLdNKGZdmg1AEhHNwLte/wpimKJKqARS2C3UcY1r1o4aY7s9jaq4M73pEkCNRRoq3jI09Zbt16R6IYNeDWGltZcwiaBlqdpkSAf6JNVO9AV1OinFwqKSQAfeia11f2B/tElRMd8BFAQwZmIaQuKi2cAIUQPAikCwO4iB94pzQREZTtBucgrsCsHhff+ashfOlOgWdeTGD3EQaYyjFP5P2Dp52oZk38twUc359JOTwzgXLCQMrzsHjqOMycsvSptgnL97V1FkBYw8kDHACaG9M4vPe32yZ2pL/TnJy2yhvehsacjZFSCUcLHkA4DEOgs9UDiHwA1c2q8sf5J0MTwNY9Bm69qwEPrU3g0IDhg5tFwa0uSlCajUWXkbAzGeHeNXg36oA8AuaYRBhvcWqjZhIgMjeSiHMsrOsxKcF+4kxb59uaBIjqN4UCvvCDX4KkTUQfpCz8ZKokkAZD7q5SUVCZCkJZdk4hqIqF8QVXoR43CXLYAjO7XXz3uiE89HQCt/6fLF7ZYwCWOtB4n5CET7Itn5aOFg+GITFQqCRxdCSHI6ZAz/TZqIjsd37+6LPbLnvrsmO6tscEcABobukCzPz6jHXkgSN8y2VPvPQSfvpEGnv3GyCCI5v2sGZ5GdO7XZwz10YyJSAcn4YFaqIPyASwrc/AzXdk8bPHkih7vg6kS4DQ5L8qS65xcP+bst4K2DQWUxKCXdQAvYhY6og3M0Zh4kg/Hr37WJuITQSDkmutA72TqdOVUG7TIwtlInu1nWbRiRYnrll2xbcFAE6ka1PJ3TLeXESDXTkHcTnGNwt88BKOhAl8+XsN2N5nSNFAAVpdQ5/eJJIc5yx2ML3HwZrlZWRTAoRT7Nlv4p8eK8DILsGCBbMfmDl7yvqDh4eP+VoeM8CJNQnC3tFrNa7+/H33PcP++aEp73h+uwHXIYBbBkMZv3ouhZZGF+ctK+OKNWWcs9BG0hLgagwoIaAmsH2PgZvuaMDPHk+iLKg88VGBTWp898Fdh3vHlRKQKHh1Sx2hH9CXxyIDo1ckOlWLthwL+MXo6wmNfpDAsms0RTl69P0puhLZURhmG3RUidwg4OTQJEkVAkBidEUL3gJR4FeOHLk/wgFekbr15ReUAQHcdEcDdvQZgKkdlQ0kTYGzl9h435oyzl9aRmujh6YMAREWHMdEpUxw1mwXB0ruQ90zl35+/759uxfP7Tz1AJcgn4J/+fnTuyd2X7ShvcV8R9v+nSgKC0MlAs/1cLgAHB5m2LnPwP9bm8TFK8v4i0tKWDzHhQkBYgK79jF86fYG/PSxJCrww/0CPqCDN0ZPEFNT/I6lst56nHewtyqaone9qq20btVr4pREUUzqrlh3RjWAq9avH5cY92JGFJZAKdFiVAI+jqCEX1jkNeTVxOfYICruhGvhtaH6QqD4ubLePg8HBdUCYAWRAxKEK5AyOK64qAwQ4IvfbUDvPgYYMr5k8XwHf3FJCRevrKCjWVaD4y6FUzFh22kMjOQwUmBoaZqB2QtWbxD817vTk1cfD2SPD+AAsGhmN6ZO6fp6746dUzJ08MrDQ/3YVyhi4w4Obsr8eBUP6D1A8KP7GZ78vYXbrh3C0kUONrxs4o770rjvsSRsUD8SJsaxqyw4qfE9ZLx6CGzYWQxHySPewdRxWgeotdbVl40K3ZOlLHW0bjURAFv/HZ9iBMAmiABZbRxEIioeH3RKZYdTpp4Mq7xBPQQqSIuE1h/wx3xS6h+CtOIE/r59ls5dAotxXHmhtOR33JfChk0mli5ycNu1Q5ja7SIJDu4BbkXq7RACm3YT7D2UQ0OqAz35efcm8yu+PjzYd9yX84Ruxz/95GFYqcb0wd6nHpndvXVlye3FFV9sQlFY/tXyvVKeB+JyzJ3u4NJVNn74YBL9AwyO0HlEzN1eldNExXj74y59K69kQYuokttRJ4+qtaNq3Qcd0CDQSv+v6nZGg7HiNS3Vd0bDoKogbXKQKjn8LgOsENTIDOfHUjFHvofppZlWQ1T/X51qGjVSUPNwWgW7ReodaYPESbh+VU5IGgbChWn1ogNTIkML9ZgiygMrQSiBA4L+AYofPJjCpasqmD/DAWw5cohzGcgHAbjCxWX/owOl0iS8Z2X72s987Ly37uk7Wpw27+LjxuoJxXZ+8P2XYPHcZPGtF6+xD44YWL+JwaMpgCVlQVViyF17BGkLWLXIwYXLKpjR40kFSCUZ0T+1qEmkQxntWEZ0b+ifMOZb/xX1Ja6cKBtHqlaup5ScjGk4wSaiRjvq5QwPJDIoWXHxKren5iQCAl4NxHVxAIGyAmlZdecQND7OZaCU7kRS+wtiSzhgGgKbew08/oyFtS+ZKFQICBMQgsLzDLiuCdtJgntJnDmzjDPmeHjL6gvsl3eZJwRu4AQoimrp3BR4nD/7TO8559x9v0hRy4IBCte1/XT+DqZ1uHjHeUXc+PECmpo4rhkq4uUtJvpLJJQ8IqMFxuhYauSXht+qQUwCNlitlMQ6kvU6iPEHpB6ea4qBx+vhqdpnjXkiukbQYYx3NoMnQQm0Wl5xoj8UIlBPlFwo+yiKp4fp4QJgK+ASBHo5gV+2RMgE/1KvlyAP8g4QgFCB/gLDN3+SwhPPWnjpFQMlm+Bd55UwtZlDgMF2E7DtBLgguPEDDhrGTy2RbM+zJ2iHAZzElp1tjcikzBu/8NFLvv2u82aXJ+c5miwCk5mAR3D23BK+e+NRfPXTwxiX8UBdgUVzHCya7Ui9M3I7CRCPFIQOfN3Kh9aaIaZ7x+S9WspJpGNZA1V1wXw8oCV1psdoteJP9GX6fDLK9voaIn5GetwKgDDEtnpeqItXW+aaSYZ4GHUYWHh1FAnghY0GXtxogRsE/QUDN96ew2e/2ojfbTRBKeC6ForlFHbvy2J3/8qyl3z/t4HEjYQ2H8fFj7YTfzQAjMtn+fPrfnfT2XPbbp01rc1OUxctFsc5cwu45ZODeOtZDiyqKLlAY45jyRwHzFLvSM1yR/5rkqEOeHXrVMcyppqoZYHerd9qDdBV69cEDBkTqPFow5Npos4OqjNfIeK2F3HkB+tF8xqGzp/oiqpDqXtF1TweHxLHYzQGCONTYhKiEDQ4dkIA1yZYv9HE4JDq1DBUHAuPPJPD9Xc2Y91GC4VSCrbDYKbG28P25FvXP/viTYTmRo0WHKudMEVR7blXR+yGfO6Wzs5Wm1QKN7c2FuklKwnOnJ5AqcD8fCYOGDjyCY7zl9m4/d84hgs0RlNq0RJlqxEgUdNZatSkqQHquApSa5rUWDjqBmO0E0F7XM+O7ExUrVd7HyS2w7hDSHbOA0cQ8bl2kNQpVFOECrlQ84CAshBCAfDQ4itCKLR11MX3qU+hQPHrZxIYKlOZx4ZSwDABYuGpzY34yj0O3n5GAtN70nzWzLabuyYWvzk8fMQ+gSsZaScN8K9c/QE8+uijpbO65z9QXNz0ZVJ4ArMmWhguZJFIlJAwy7JXzWU5o0yCwwrkQZ16xPXueMSg/L1aljvg24hZ5wAjsRd1aKxqg+ZP2YF8rVoQKhGVFsNpP75FfVWxKb5rn4AEkmMIeAloLoQvCCqAh4DnkDIfIcqZJHdgu0Cx7N9XFQJNTRAjhaRhYdNODl708InuJWKET3zguY3l0spVF5zAiUfbSVEU1aZN7UZr59mvnH3WxE8vWjyHj5QIRkqJYOwm/IsFj2Bmt4t3v6UCuBq49ewYVZY8hGbUsRNabN1a6yPgYwxeNp2qBEViIs/QG67pLCUSVahNj96FIAH1kduQGrSmOvpQEcFQUYlFG6r7ygQeeDKBLbsNNUQeChOUUOQtjmwKWHDmYt7QPOnTCxcufKWxacIpuTanBOBTps7Cgukv2K1dK+/a1td6zcGhKfA8Dst0YJo2KFE11AmyaY6uFk/j4LWUExbtYCrrjWhHMsrMR1M6qqdfUzCfpIrymh2WBvZI7ErNXi0J+bnGxUPpMJpqQnHuYDqIHwdACPoOUQwXfV8GISCCg3k2qOvA81ysmNuC+T3pa95+wdl3PbKu1543b9YpOeeTpiiqEWMZjvYf8M5Y8s7t9lDTMBnZkl2/xcaBwSQuOKOEXJrB44AQrhy7WotvR2K9owRapyU0YoXDZcGxoIblRjUfR411Tlc71ccQSoc6hyfVaNZkRUByc8XTic9PCADFVeLauyxyJSvDcSKnVVit4ByCMACef7sZwGVi1HxDGRedMYjdhwvYOzAJK85dMfz+i5ds37fvgPe2lfNO2XU4ZQAHgFQqiURy90PInfUZe/Dgt3/0vafHPb7ew303HcDcHheJRAmUyfQNARejeuXh+GidcN9VeoseWx7p6oTMUG/H3D88jVTlpB423V0/yk5C1h2bHwhb/kMQVRb94yPBynpUT5DfULnvfS2XCFmTE0IOWBBgAEuCmUlM6aC4+aMVbOlrwJbBc/svXLXo6pd2HHxo5sTWU3pNTynAk6k8AGBkpP+eROY9xsXntX+9K/d068gwxcDwIJoZh/BsDBZVDhPTB7bpZykN0wZEdGkSpSfhpT2GVo+T1JPljuN8A6dKEMx0kjusdfjkVPCd41BiAN9Jo2JVSHAMQtuW+JKPCJ4H4tfdIQGNkb/MAY8hn+ZImAQVkcC4tIlGI4snX+zBmtXLD62euPJ6zp17zlk47RSca7SdEg4ebw0N41Apix9edvGKGy67aNYhkxmwHQaDCmzro/iP9WnAsmRgOLUA5hdnpSTitKkKpMKJWdhaUiGp+QWBDlyznSJuTY57gba4bkcjXuMmPLGI8wYqDAqjPJWx01YuUM13UZUqzi+L4nGZ7s3jDK5nwvEsOBULb11iY8qECuABKcbBXcA1Zx1q7z7vBnD6w3yu6dRc3Fh7TQAOAA3ZHA71Pn5Xe2viupbW8f2ZVBlHhm18/6EsNr2aAxIpgCVAGAOjBKZfN159TITpH+LAPhac6Ul7qhcex4mM5l6EcpRrq4hR9nEsh1BHi48Pwjje06k6hNhA5GNriqfLaR3YXAHbkym2HdeE6xhwXAvFchIzuhiuescQWvPDOFrg6Ozq7Ockdd3d9z5yVzaXPo4bcnztlFKUeJs05zJs++M9d5uZTnvdK0fv/NmvneyD61pBEikww4DhW2yThJWGOWRcg0f8JIxav0ilpB7zjkZZzuitVvjpKPuMbEdqzxD1Vxpzt0BEGY3s6Vi2Da2AQLxkQq2jEZFOZu2nWKV1g59vUqPiCICuZdVSo6Y8IusCuZ5MM/Fnq8uwjP14dXDCcMLs/NxwofyTG67+s2O4SSfeXlOAA8B9Twzx1jy9d/Puqe7uwbYfO15fMp82YFEEDgHmAzwAtxBwhaznotLoquuq+Hitmkjw79NJdxKPBfCjbHpc+yF1t66/GkTVbk/2nFUwVuSaCoR5DhFef73bqQYsy9TLIWVRobVyNQHbsWAZFO85f1q5iKaPF7zSz0wywG84yeMeq7GT38Xo7ZcPP4zORf9N5Bp7NhsG3djUwN7pDPUbGVPeEoPK5IomAwwS1k4UkBW7XB3kwWWVofV63hOVrFLV36lK01ZjnvI5BIWnIstD5xLR5lEoyT5MwEmJqvzgzwsSbap5NZJvqmOg4bFEpvV1av2n8NNUx84vcCfIZahxDSKhDfo5I5xXVZxLL1oQKFhS85acm8LzmE9TGDzN4VMqJ1EqUaSy08rJzMQPtoyb9m9pVvbaJ3/mtYbfa8fB9Xbnl96LoaGD3pbUkvuXz23/8HvP7yl2tThwPBcWFchYAmlTIGkKJJmQBdN8aqJS3qlpDwhKYUQhf4JcFLWdHSKuOkSGh4V7isRW69vHBgmP2kbxUNUbURTZLFCKfFZdY7tjb9UbRoHNgwEUkrrIs/Q8Csc1ULFNlG0T5YoF12NgtILefRx7BxcUS3zmh/Pd5P7Bof1eQ+dVJ3qAx9X+JAAHgO/ceCU+NP458T+v23Hfh9/Z+fFlZ7QNWoaLhgRHLimQScgMopYhAS4EgS0gS2oIHqBcgZwLWWXsRJQNUW+GFqVXe79ijO1qBazWaXGNP9KRFFXrhvQg/A5lYRFuO9qvHrsBCKlFcDxa/klV7c5gsjAYAHicwXEMVGyGYtnCcDGB4YIF1xNwaNvgCzt6Pj594f77XnymXYzr+dTx37QTbK85RdHbw7/4Ga649CO4/t6mDa2tbXvPmNFxbgrDae6WgxvACIHrAUcrBKWyC3g2ZFELf1Arkc9kkKaN+MPSiF77sj5FqZdsU1ddIqUDI6/vkIbI9cKc4AGFidAQuXHd/OAxSqIoRi26Qmjo3KJ+bvD4+dFgHeEfp5aXPVbYtiZFiVw3EW6vhrlRDubXSjUMV6bRZhyuZ6BQSqJYMeE4DOWKgcMDJmzRivFdS47MntF69UVvK/6zmW3FlVd84E8Jude+kxlvc5d8BABwz9GBuw3DMNb+tuOWF557vHXdH4/CHTaQScqbl8gNY0rXALbuoti0MwmPmfJo/SAerp4I1WpYxLDnX93CgbXKoRFaSBH7BJ1F9UaOhbbGR4Xp08cjwFWltNDCncIHLO4sD614dH9j134PwmdFzKEUlw2J3B8lEuAmc8AMB5t7Kf64k2BKuwvhmhguJpFOuDgybGPngQ5ceP55hzqnLflrz/PuJiR/Amg5+fYnB7hqTU2NKBTKPzh31Soyb3r5a9sO/qp1eKSIzuYk5uaBJfNKeOeqo3h2M8eNd+bwzNYsuB+rIvxqXUBMH0YUKPqnVlPCWADuqmFfIggZ1fOPRGOs/f/qjz8xNrzqtwi31t4uAXMgBFCJS3X+rVVpiO6ouqlzDgdO+MPX/KNX4zfDayotuMFcGJaN514Brr+jCU9vbMS7zyZYNj2FfMbChDYbwrDQOmnlofkLl90gBH6Qzo6dYu21aqcN4ACQySQhRP9dxsSl7ttWJ7/1TPLpppaGYUzq4JjcnkP/oINVCw7jo5cOYeudFo6UTIB5UNVI1X2PVymuanWkQ80wR0bIEISyWVUoqr+VXl1BrSx0kf4Y+waRt42aR2o/uAEXjz0+VdQL4XWoed5CqUTx2BWVH0VFEGoRJ37qa4N5GC56+OFDTVj7YisamzLYtUeAVICeDqBx3EQsW3rWUWSXXLvnKP/x1I7TB27gNANcXrhxKJace1avXNpP7cNTm7LOrZs3PWs2j1A0ZhOoVCy887wh3P14GWtfkkWP1HBXWblBy2Y1GqrGALn+PQwNDWcK7UkIE+mowbl6uJc/UPcEDHgcmMSnWEp7rop3V2VhYuurAw0eDjL27wJhTEmQmFPPQAuVmsLDy9sZHvxNBtQ0kE0AWctFNu1hxuzFTiqXvm5CzznbzUTq3wkxXyvYHHP7k6koo7V0yuTE3fvQey9fffu48TM+2zV5uSdImlumgyODHiiA6V0OLHg+ZSawiExnqMpzV9e7HLvFBwlU5fgLhmAhyOakjwKqGg+p5qmvurwoqoL0InQiopJoRxfpECPWUYQG9KAGUlzTHuNVQsJjk78a5ghXsSUyD7jMJ+tRD9v6GFzioLmxiLLtIZ9L84svXOEtXTzzs1Pnrr795a19DxFintRYylPVTrsFV615/Cy8+IettpHsvCffRH8zpfng+4ZHil/5u/9to701g8+++yj2Hirg8RcbYFCCFBOw/NBblckq/rRWgV0DkIx3DsNHFR3ReXlQrVp1KPUHQO+QavMinVNteeS4NBAGhxWrcqYDOMLDgeCdEWTwiqhAx6qDh50H9cIJ5VF/MAPhEEJWPWZMxnT/cr2F797fiOv/vIJx+QP46dMT0N4++W/nzJhyX3dP56sjhcN257TZpxtOQXvdABwAFi2YAQClwr67tqbbW26540eLrURm6MZcYhdrz3Ocu9DGky9RpAyBjCFgUhGoAKpFHCExC6laAO7grkruqWexVn0sedO1ziZUJ0wlx/E7lFrdyuPW5uvw7biaUlWpImK9Q6kw7nEkNQCsUilHqJsa1CD8TqeQJQLVoAYhKH7zQgZ9+8ejXLKw/Nx2b87s5r9bseriW7JNz3jfuH7l6YZQVXtdAVy1TMfHcPNt93l/+/k//9LBg/3GqzvWXlPxHklw9MEwGFoSHGk/SykXgMtVqQ5dAQmbrnHrD4BONzgnoFQEHlLlSQ0ss0ZJqjqgNay3SnrpH0HN86ySBpUMGNfjqyhJLR3fLwYGoWnhsR/Ur40aUFxDggyiBAWF5xFUCOBxioRZBoiBqZNaMWXakkr37FV/PzfX/KWDO1Nom/yR0w2butf4dduKhRFQ6kAI+jXq/uGcO3/yr/Teh7Pn0HK/YRgMFYfA9gDbI3A8CXYBLaUyBQyqd0KjZ6yfvHSuhK98PXehzP1HwuKwfv7BMLcgAWPSsSOniZ9XUDp4DEbAGAULpgHGZPYE5mdRYMzPoejnE1R5CYP/kRyFQtZHYmHuQcZUzAgPOt7yJGOCpdK0KYICYoyFRXoF/IA3j8FxKWzHQKnMwLmDiV0J96FnvXXT53yUn7dkxjrP4zckEiZyudOrlIzWXtcA19s//ugBGKaZLRYK3z90YPcVAwN9dNPOERwalKm+Si5gu/J0GJXufpNJgDOKCOcFqrlxAGyViFNPzlkFaC3pJvH/M/UwUPmf+UAfA+AGVdM6qKNgpxQBmIN58e+ax1HvcAdvGD3GlSB4KBjlMAwPhp9EEyBwPAbbNuBxir5DwN4jTejq6OLTpnT+a0ND+hOO4w5Pn/+u0w2JY2qvS4pSq131kcuwbfuuYcNIfq4wvG/b7p1Pz0tmj172yydfhe0xDFUM2IKCEYEUJLBDS+WPiAMkHYEf3qIoh09BqOIFPOS6YSdShJJZFVXRqwj70mFEmQhjp/VY9Qg1UPMj3Frx6hifrlFFOnSnhxQl+G1OtfOlUjnxHUWKszPmwTQ8UCpgeQyVMsVIgSCZnQReaHmgZ/rZG7ond95WLJaHJ3V2n244HHN7wwAcAKZNnQQAhzds6f3inMXv7xHJLegcv+2yLdv+gPvXHcGRgQQMI4GmJEHCkOBWdeqpZsDAiYxK5AgC9VWhUcYh4zyUNBj3+EGbHwN9VWm/WlIitI6vrmlDiyNBDb6tfwiJVpJTNCWw4jz4DS4IXC7Lk3g8TKdGCQPgW3wAlukimy6D0jL2HCT4w+7ZmDntLMycPOWBt7196tXlUrE3lR29JuXrsb2hAK7avJk9OHLkcO+KpXOu7e7I/aQ5s83ecDj/5Yvbds3fsK0fL/eOR14QWEwgYUopMRI34gnYHoHtEbhcBiUx4nvxVJCTP5/E9HHd4lfN9wHPhapdg3D8Y2zokA7yaIdSBUmhWgnRLDZI1IKzgJfzoFgvITKM1fMIPI/C9WjQCReCgHlyNHwqIWCZFTy7eQT9xWasPvsMTCRvebK5LX9bvnXSH4YKbm8+P/503/YTam9IgANAc3MLAGwDsO3K6/8vJnWT7Td/cul9T/zuxamf+Vov4x5BygKyKRmdaLsht3YIMFAE+ksUnPjjQJmkFoQIUA54UjELCi4BMQcQCa24LN7kpw3mCKqWCW3liJQJzUIjHFCgogF1FSSSwSuQPcMKFjKSMkxwbzAOw3BhGp605JCViQdHDNgukZ1uKlBxGFyPwuMC2TRHwnIxQi7wEq3Lt7W0Dnxy1eTl+wiwNWG+YbppNdsb++i1JsQhCO72bNq6pWvH3txP7//FUzle2JvJJ8s4MOihdz9HY5qgsYHCtCiGnApeHSjhj71pmMxCoyW19YQBWMwfYcREqHQElRsQdFp1RUXviDImO5PBxyAwGIVpUBgGgWnIDrBp+L9h6L8lQnVEq94QVKHwlxu+tZaAlv8tw4NpukiYDlLJCiyzhI27GfYdbEOxMA6WCTTlHOQyJezaZ2LvoTSm9ViYPztf6Jm2cmjDTudy11zUx5jRe9as168ycjztDWvB442QVnDOe+fMan+1uWV4bj5Fzk5a5B/dwivuw089P27rvoGsaTI05xkmjDewYlEBmcx+3HxPGr9Y344CTSDBOCwhop3C6BAAOR3rPHKZqsu3xsTn7yLg6mGuP/2AQ4scDlGLxm8H8d1q/XDTGvsRID5NsUwXmWQRjz3v4eYftyFjZHD2TIEJ4w2kUx4ymTJIIjPcMuGc/oVLphmZNL/Kapj0u8ULGwcBwQl5XURwnJL2pgE4AFAplfB9e/cenTWt65HBwZEZpcOPVq54zzV/lUj//kMDB3ud9iZvVvs4O8kIMLE1gb+8YgBb96Sxa38rRMJ32wtUyYi1XnUS3P5CIikK4QAnAh7xa/j4YA9CXaEPcPBBTMP/LLDa4QCHiOSH6IMi6Y7u1CFIJ13s2O/gWz8Zh219WczuECjZJmw3U2ZWYnO+baH59oVL72ma/P1v7NmwOJHIZMuH+yu8tfVN80IP2psK4Kp1dHYCUg0sbti8HaZp3Goa7NbVK+ez5nENt6fMkRkpsnGlK8DGNXjobnOws68CAzJHiww40kJFoXNmXVuWTQCyJLsKkPJH+HieACVhOT/Vx5SDguOaeghsxkTgdIo7aiJqDRB5E3icwnEIHMdD3xETI3Ye3e2NWDC3zVuxbNLa9pbMVuEVPk3IkJdIpDCy5zOiITe5eLrv12vZ3pQA19u8WVOBEA+uU+n/BGPJpkppwVeP7n3QmjDe9c5d2roYbNyZfOQQdu4fhuMxZJMyE5elhq3F9HSurDdk7ham8vRDyA4qkZ5NLgQ8DjAt9Fp5SlnEavvc2uCBc0olgRFCSpryhwDmSyFS1+YwqAOTVmC7AkeLrcjkO3G4aD9XounnL1w+nX32Q2vsCZ0tf1MsVY62tzae7lvyJ21vvnfScbZ/+JcnIEDOTYjKRWk2cvnLu4ZmHhpw8NxLW9GSciDcMoplF4ZBkM8YsEwKzwNsF/B4GG8iXe4EhgGYvrfSZASmQWCZFJZJkUowJJMUKQtIJqSEaRryw5iAyQQsk/teTfn0CD9xpe0wuB4BJS5SVgWmweFxE5mMifaWEvLNM+CJFPb1t2+Z0JH4aTYjHhUCTza0XXq6L/FpbW96Cz5W++wH3gIATw4NHn0SwFPLBytTd+49yjft6ONnzmmZ3NXR/NcvbdyNZMKAVz4E7gygdz/HcJHDYAZsjwTxJJYhKQmnkDojAEDJd1qcjO+mNw2lpKi3gxwxk7A8GIyDUaBsUxC4KDgEO/uS6O7KY3JXIxi1YaSmoFI6dEs6vXVnU8dqSswWmmpLbwfwSKbpxAs3vZnaf3mAq5bLNwHAI+p7374DSCcTjdt27V1XdhlMgzqzJs37QjYtLuzd72Gk4GL7K7/H1r5B7D9kSpnPAizLgWPbcHz+bTDAdii4R8GogaTFZLo6xmEZYaCT5xFQZiGTYUgnbFgmQe9BjkK5HcuWLEDFpsh3JpDPsseaxw18i8Axs83zkcp2Pcm9ykAie2rTDr9Z2v8HeJ3W1TEeAAYAPAgAhw8dAEA2m4Y7vmMi58WSA17ejMOlYRzoN8EMgbJdcd739nNuOnB46NKhEdtRwVimAaQSFA1phlwDQzYtkE5yWEboiXQ9y+Qk/wtWeeom0zLMhMkxVPJQtHNoaZ8PAQPJRkbTKeMABHZ2dLSf7kv0hmj/5Tn4qWzr1v0OlGD8pm178wNDZcGYHBhtMCBpEaRTBnJpikxaIJXgMJnvcoeAy5MEZucgIA4sPnPZ6T6VN037T6MgBVNSDbRcAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjM5OjA5KzAwOjAwqRXGHwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOTozOTowOSswMDowMNhIfqMAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64778359
{'hecke_orbit_code': 94575592208336318, 'n': 1, 'trace_an': 2}
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id: 64778360
{'hecke_orbit_code': 94575592208336318, 'n': 2, 'trace_an': 2}
-
id: 64778361
{'hecke_orbit_code': 94575592208336318, 'n': 3, 'trace_an': 2}
-
id: 64778362
{'hecke_orbit_code': 94575592208336318, 'n': 4, 'trace_an': 2}
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id: 64778363
{'hecke_orbit_code': 94575592208336318, 'n': 5, 'trace_an': 2}
-
id: 64778364
{'hecke_orbit_code': 94575592208336318, 'n': 6, 'trace_an': 2}
-
id: 64778365
{'hecke_orbit_code': 94575592208336318, 'n': 7, 'trace_an': 0}
-
id: 64778366
{'hecke_orbit_code': 94575592208336318, 'n': 8, 'trace_an': 2}
-
id: 64778367
{'hecke_orbit_code': 94575592208336318, 'n': 9, 'trace_an': 2}
-
id: 64778368
{'hecke_orbit_code': 94575592208336318, 'n': 10, 'trace_an': 2}
-
id: 64778369
{'hecke_orbit_code': 94575592208336318, 'n': 11, 'trace_an': 4}
-
id: 64778370
{'hecke_orbit_code': 94575592208336318, 'n': 12, 'trace_an': 2}
-
id: 64778371
{'hecke_orbit_code': 94575592208336318, 'n': 13, 'trace_an': 0}
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id: 64778372
{'hecke_orbit_code': 94575592208336318, 'n': 14, 'trace_an': 0}
-
id: 64778373
{'hecke_orbit_code': 94575592208336318, 'n': 15, 'trace_an': 2}
-
id: 64778374
{'hecke_orbit_code': 94575592208336318, 'n': 16, 'trace_an': 2}
-
id: 64778375
{'hecke_orbit_code': 94575592208336318, 'n': 17, 'trace_an': 0}
-
id: 64778376
{'hecke_orbit_code': 94575592208336318, 'n': 18, 'trace_an': 2}
-
id: 64778377
{'hecke_orbit_code': 94575592208336318, 'n': 19, 'trace_an': 0}
-
id: 64778378
{'hecke_orbit_code': 94575592208336318, 'n': 20, 'trace_an': 2}
-
id: 64778379
{'hecke_orbit_code': 94575592208336318, 'n': 21, 'trace_an': 0}
-
id: 64778380
{'hecke_orbit_code': 94575592208336318, 'n': 22, 'trace_an': 4}
-
id: 64778381
{'hecke_orbit_code': 94575592208336318, 'n': 23, 'trace_an': 4}
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id: 64778382
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