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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [16, -4, 1]], [7, [36, 6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870846091669, 'hecke_ring_generator_nbound': 5, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, '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': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, 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mf_twists_cc • Show schema
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id: 47402282
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870846091669, 'target_is_minimal': False, 'target_label': '405.4.e.l.136.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47402283
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757205, 'target_is_minimal': False, 'target_label': '405.4.e.c.136.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47402284
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220397, 'target_is_minimal': False, 'target_label': '45.4.a.d.1.1', 'target_level': 45, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47402285
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870846091669, 'target_is_minimal': False, 'target_label': '405.4.e.l.271.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 47402286
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757205, 'target_is_minimal': False, 'target_label': '405.4.e.c.271.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47402287
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108869, 'target_is_minimal': True, 'target_label': '5.4.a.a.1.1', 'target_level': 5, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 47402288
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220432, 'target_is_minimal': False, 'target_label': '80.4.a.d.1.1', 'target_level': 80, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 47402289
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519504, 'target_is_minimal': False, 'target_label': '720.4.a.u.1.1', 'target_level': 720, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 47402290
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268041326817, 'target_is_minimal': False, 'target_label': '225.4.b.c.199.2', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47402291
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585625, 'target_is_minimal': False, 'target_label': '25.4.b.a.24.1', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 47402292
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479585, 'target_is_minimal': False, 'target_label': '225.4.a.b.1.1', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 47402293
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849881, 'target_is_minimal': False, 'target_label': '25.4.a.c.1.1', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 47402294
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268041326817, 'target_is_minimal': False, 'target_label': '225.4.b.c.199.1', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 47402295
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585625, 'target_is_minimal': False, 'target_label': '25.4.b.a.24.2', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 47402296
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 116, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868533, 'target_is_minimal': False, 'target_label': '245.4.e.f.116.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 4}
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id: 47402297
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105039005, 'target_is_minimal': False, 'target_label': '2205.4.a.q.1.1', 'target_level': 2205, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 47402298
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868533, 'target_is_minimal': False, 'target_label': '245.4.e.f.226.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 4}
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id: 47402299
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109109, 'target_is_minimal': False, 'target_label': '245.4.a.a.1.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 47402300
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709239029, 'target_is_minimal': False, 'target_label': '245.4.e.g.226.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 4}
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id: 47402301
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 116, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709239029, 'target_is_minimal': False, 'target_label': '245.4.e.g.116.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 47402302
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702656, 'target_is_minimal': False, 'target_label': '320.4.a.h.1.1', 'target_level': 320, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 47402303
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332160, 'target_is_minimal': False, 'target_label': '320.4.a.g.1.1', 'target_level': 320, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 47402304
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220957, 'target_is_minimal': False, 'target_label': '605.4.a.d.1.1', 'target_level': 605, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '99.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 47402305
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480205, 'target_is_minimal': False, 'target_label': '845.4.a.b.1.1', 'target_level': 845, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '117.25', 'twisting_conrey_index': 25, 'weight': 4}
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id: 47402306
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802126615808, 'target_is_minimal': False, 'target_label': '1280.4.d.l.641.2', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 47402307
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604735022336, 'target_is_minimal': False, 'target_label': '1280.4.d.e.641.2', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 47402308
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539802126615808, 'target_is_minimal': False, 'target_label': '1280.4.d.l.641.1', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.115', 'twisting_conrey_index': 115, 'weight': 4}
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id: 47402309
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604735022336, 'target_is_minimal': False, 'target_label': '1280.4.d.e.641.1', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.133', 'twisting_conrey_index': 133, 'weight': 4}
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id: 47402310
{'conductor': 153, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110309, 'target_is_minimal': False, 'target_label': '1445.4.a.a.1.1', 'target_level': 1445, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '153.16', 'twisting_conrey_index': 16, 'weight': 4}
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id: 47402311
{'conductor': 171, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458704141, 'target_is_minimal': False, 'target_label': '1805.4.a.h.1.1', 'target_level': 1805, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '171.151', 'twisting_conrey_index': 151, 'weight': 4}
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id: 47402312
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036133779767696, 'target_is_minimal': False, 'target_label': '400.4.c.k.49.2', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 47402313
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036133779767696, 'target_is_minimal': False, 'target_label': '400.4.c.k.49.1', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 47402314
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555216, 'target_is_minimal': False, 'target_label': '400.4.a.m.1.1', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 4}
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id: 47402315
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340815049, 'target_is_minimal': False, 'target_label': '1225.4.a.k.1.1', 'target_level': 1225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '315.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 47402316
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359779392, 'target_is_minimal': False, 'target_label': '1600.4.a.s.1.1', 'target_level': 1600, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '360.259', 'twisting_conrey_index': 259, 'weight': 4}
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id: 47402317
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539870846091669, 'source_is_minimal': False, 'source_label': '405.4.e.l.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387397707328, 'target_is_minimal': False, 'target_label': '1600.4.a.bi.1.1', 'target_level': 1600, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '360.349', 'twisting_conrey_index': 349, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 780550
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 2}
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id: 780551
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 3}
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id: 780552
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 5}
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id: 780553
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 7}
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id: 780554
{'charpoly_factorization': [[[1024, 32, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 11}
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id: 780555
{'charpoly_factorization': [[[1444, -38, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 13}
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id: 780556
{'charpoly_factorization': [[[-26, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 17}
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id: 780557
{'charpoly_factorization': [[[-100, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 19}
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id: 780558
{'charpoly_factorization': [[[6084, -78, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 23}
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id: 780559
{'charpoly_factorization': [[[2500, -50, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 29}
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id: 780560
{'charpoly_factorization': [[[11664, -108, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 31}
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id: 780561
{'charpoly_factorization': [[[-266, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 37}
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id: 780562
{'charpoly_factorization': [[[484, 22, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 41}
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id: 780563
{'charpoly_factorization': [[[195364, 442, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 43}
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id: 780564
{'charpoly_factorization': [[[264196, -514, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 47}
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id: 780565
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 53}
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id: 780566
{'charpoly_factorization': [[[250000, 500, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 59}
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id: 780567
{'charpoly_factorization': [[[268324, -518, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 61}
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id: 780568
{'charpoly_factorization': [[[15876, 126, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 67}
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id: 780569
{'charpoly_factorization': [[[-412, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 71}
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id: 780570
{'charpoly_factorization': [[[878, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 73}
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id: 780571
{'charpoly_factorization': [[[360000, 600, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 79}
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id: 780572
{'charpoly_factorization': [[[79524, 282, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 83}
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id: 780573
{'charpoly_factorization': [[[150, 1], 2]], 'hecke_orbit_code': 49539870846091669, 'p': 89}
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id: 780574
{'charpoly_factorization': [[[148996, 386, 1], 1]], 'hecke_orbit_code': 49539870846091669, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '405.4.e.l', 'level': 405, 'portrait': 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ixhue3T7gsGsctKT7BxTLPU0pycV1Rcj42TsHUmZMPUgNmpgI1TAVs3GLZvVFy6zaWq6hw72eTh5z2ePBjz7ImIRHV4420t3vYSQ1VNcfDEOMfOOpw5nzC3GHFywXBo0XDDFQv82/etsm16jLML48wvVTm/4rG4IlhuJax0EpY7kof3LxKGpy7de2DxZfc+s7Lzob2LX739de8K7/3Kx77TkPhL3f5aM/ihE8tcuB2M5gNHjx57yft/9Ytyz7aDL/nHbz/gSOPT685y5vwUc4s15pZdFlcEi6sJy62IpVbC3CocXRLMTq/y735giRsuqnFqfpKz5+ucXXSYXzLMLcacXkg434kZnxzw0iu73HwJeLKKr3zmlyucW3SYWxb0AohjTcXT1CsJE2MxGjgxF9Puwo4NLvVqgDEChEe3r9m+MWBp1QFjpchqF4IYDIblVsiWWZdOXyGUQeiAZsVl+6YBqz3BibMOiXaYakoaFYHvQhwLeoFkbllybskwvxLj+wNwY265rMtLLhfMNKssrTQ5Ne9zdhHmF2Pml2POLMORJcP1ly3y775/mU3jY5yam2RuucrCisfiqmBxxR6/hRV7/A4vCwbBKjLo8Uv/tBJfd+G2B9Xk39Ybt17w4Jk5/6dvuaaFEH99617+2jL473zok7zujut55/f9/35x73Of++eq84ULn9w/v/POB1ryldf32b0FBoMKcewQa4XWEmMUIAGBxKCkwVdwZqnKI4ckV+5e5pJtA2oVcB2J5yo8z6FeldRcSa/rcuB4ha8/6XHifEA7jjhwKmDD1DJveukKV17Y4fpLWhxfjFnsCWr+gKNnDa12nSsukKwOEvYdVzRqDntPwEWbDYMwYZB4OE7ERAP2n/JRToIrYxwX+oHkxkt69HuSKy9MaPcTTpxtsGujol4LWQ0Ms+M9VrptPnY3PH0s4dljA3ZsXuKqPW0mJkNef0uHd9xu2L2xQRKNc+zMGEdOu5ya05w+H3H6fMKR84KTqxFXX7zAv//+DhvHJziZgntx1WNxVbLc0qy0Y1Y6mtWuYbEnWRwIuu2Q6y9Z5Z++64x84Hl2/tbHz+zaPL1402tftrEq5KZv7Hvq0/zW73z0Ow2ZdW9/LRn8zz/6aW6/eZv61JcO/JtnDs797MN7DyrHXWF+VXJ2XnHNRS1+/R8uc91FFc4vTbKw0mCpVWW55bHUclhuw0orYaUds9yJWWzBqRWBUx1w6+XLvOf2kF2zdVa7Tc4vV1lY9lhsCZZbViKsdDTtvqYdGHqDmKlmxPYNGhD4ruH0eRchfXbMKnZtNmye7TG/EvDMoQbXXWSoVVd4/vAkjXpIGLpMTWj6A7h0+4A/u3ucPdtigsAwPSaJkj6Nis/e4wOqbp1rLo559mjI/JLHlimfXZtg+8YQpSJOL4LnWgm2Y0PMREPS6ft0ey7tnstyW7G8CkstzXIrYbGVMNeCpUHC9i1d3vPyRW69xKHiNjm32GRxpcLiqsNy23731U7ESjthuWNY7AjOdCSLqwG3XjrHr/7DBa65EI7NuZxedJlqTKK865OYHb94dOHyf79x7Fhy2yv+1ncaOmtuf60AvnffPiqVavXsmdPbn3tu37sPHjnzC0/uPcVCx2GuJ+lGECaaYBBww8UL/KcfX+bq3TXOr0ywtFJnuV1hueWx3HZYacNqR7PaiVntxCy3DfMtwdmuAdHlbbe1eP2Nmgs2VQjDGiutCqtdj1ZHsdIVdHqCQWAIY0OSYFcDF6q+YbxpmJ2McNwBR86FPHfYR8d1XndTiOOu8sS+MXZugi8/GnPbFT7nW30qjiJOIiYnII5cHDdmaanGS69t8+WHGuzaBI8fCnCp8dobNbHo89yRhGOnKzjSY8OEw0RdUPUFnidQAmINYWQYhNDpGVa7mk5Ps9rTLHUN/SRhx9Yer7+5xdteEoJusLQ6xvnlKkst1x6nFqx2ElrdmNVOwkpXs9QRnOsoFtoRN148z3/8B+e5erdDp1cjil2C0GNptc65RZ9I7ET5m/+/7Tv2fHzL1q0nB4NBf9cFF3+noZTf/toA/MiRw8zOzHoHDx38wUOHDv32U089IxaWOjJbLlt96ASCVihYDgStXsBNF5/ngz+6zLUXVlhcGWdxtc5Ku8Jqx2Ol47DaEax2DO1uwmonptXVrHQN5zuCcy3NxHiPV1/f4ZZLYnZsUDSrLu1OBd+VgCKMJVoLtIHeABCaicaAQ2cM2oTc9XidoFflwi0et17ZI9Kr3PvkONdc5HJorktrpcnNV/b4xhM+GyYN+04Y/uFb2+w77rNhUvL1JxW3XqpY7rU5emqSay4Oufe5PnFQ45bLPHZvG9CPu3ztCQWJ4Mhph2bNwRHQ60u0ESTaEMWA1DieptU11BsR2zYFvOTSHq++LmaqXmF+eYyl1SorbXtsVtqCVhdanZh2N2a1m9DqGpZ6krmOYLETc/Ml8/zijy5w7W6flXaDbr9CL/Do9X1aHY/ltsviqiKIK/qiPVeaXRdc+BO7du3+o6XFxfDCiy76TkMK+GsC8DiOZBT23/TM41+6cGFZf/Cxx55wgwh6A02nl9DuJXT6mu4AuoGgFUiWBoKFdsQtly7wSz+yyLUXuqy2x1hcbbDasSBf7Tq0OopWDzpdQ7sX0+4mdPuaVs+w0BUsdCFKAq66qM/GyYRuz/A9Nwfs3KiJE4kjDWEE9zxT4eT5CpsmYp4/UgFd45Ktimv3aPxKjycO9VhYrHP5zjrN8RUeetblhosqLPVWWVlpsnGj4dF9iu97ZZfH9jlsnXVZ7LZYWZ7k2kt7PPR8wmR1nMsv7HK+1eLRF8apOnWu32O4ePsAZJdnjglmJyPmFyLufcZlECmkhEQbdm4KefXNIZ2uYvOE5tqLIAxrLLdqLLd8Vrsu7Z6i1ZW0u9DuJbS76bHtaVZ7sNQTnG0LWoOAWy9e4Od/ZJkbLvJZWBmj3a/Q63t0Bx6dnkOn59DqKla7klYnoT9IuOba66J+qP7Ve9/95sONevWLruvq7zS2vuOZTGO66KT3/XOnHv+11uKByfkzLSbHJN2BQAiJzcSDkuAog+sYXKXxlMBTLo8d2sBPfcjlbS9d4ntfsczOzSFzS00qXpWq71HzXepVh05V0ui7jNUdeoOEbj9hQ6DpB4bOwGd5ocLpU4Yw1pyZi/F9Awg8ZXCkoNdXCFzinsPVOwW7Nxu2b+kRJB2+8phi/+EJXnOdz7WXrvCRrxg8UWPnlh7PPqTYMq6YbvaoqCph5HK+A/WKw9YNgqf3h1x7cZXbr1nkj+/s47kNXnWTwfV7fPPRkC8/UueFY1Uu2Fxj56aEmYmQXdMRV+xMUErjKAMYar7PzLhPGLl0eh7PH3LpDhx6fUV3IOn2oTswdHv2u3f6Cd2+od3XrPYFC13F/Kqm1mzxj77nPH/r1pCrdtU5t9ig3avS7Xt0+/Z3dvqKbk/S7ku6fUM/MPQGmrvuftSt1CZ/bWZ24/KtN9/yz87OD/5484bK/70APzHX5dS8+OHTx775gUr/rkmRhIw3awjppuAWgIMQAilBSY2jNI40FuzK4CvJs4eneepQlYNnzvPWl3R5yWUDxhtNlls16u0Kzb5Ht5eemIGkP3DoBQ6DwDAINWFkiCJDnNh7GHsYDVIJXEdQ8QTjDcFEAzZOa7Zu6DE90eKrT8B9T7lIPcZrrnO5+pIOD7wQEQ6a3Hq1oNXvc36pzi0Xa6bHe1Qdn0Fsta3Sgqsvdqg1Ap48UOFl145x81UdnjygwIxx3WUef++Ny3zj6ZCvP1Zn38kK22cUGyerTDRqjDWg6oPrGJQEbWDfMUGSCKJYEMYQRNjvGCT0A80g0PQGml6g6fahHcBiVzHfgUD3ueOaJd70kjZ/+1WaOG4yt1in0/fp9Dy6A4du36E3yC4YQbdv6PYTuv2Ybj+h1dUcPn2O/We+Ojk21v2Pr7vjFY4xKx8SYuL/PoDPn1/G98zf+/AnH/jAo099efaf/a3TzE7OIESE0QJjHEAihEAIhZKgZIJSZSY3eI6m6ggWezU+evdWvvlUh9uuWOV9d6xyxa4uU+M1llZrdPo+vb6bAlvZeygIIkkUC+LYLvXFimFwHKh4UKtqJhsRW2Z7xHQ5dCbiY/dWOHqqzrhf5YbLHG65ss2jB1vc9XCTmy6qsH1Tjz+7W6CET7MRsdoN0AaUgJlmj3bHQ8dV3nTbeT765Rq75yu8/qYeYbTEvc9NESUVbrxsltff0OaibS2++WSPZ0/VeOaYx9ZJyWRTUPMFnmsvQilACIM2oLUhitOLNTIEkb2QByH0Q+gMBCuBYLkDwhlwzZ5V3vfqVW67PGGqUWG1XWe1k7L2wLXHbSDpDhS9gUjvFty9QZyuCIZ2X7AS+ATxAp2FT8yunuUD9ZlXmXCw/IdeZfL/DoB/4Qu/zqap6zmy/74fOHaq+8Gv3vX89CPPB3zPNZqXXdmnHzrEiQ2g0vJuy+BCIaVAKYGjEhylcZW1zXzHUHUFKwOHpdUJPv6tOo883+XWq1Z536tWuWZ3i6mkShz79AYVun2XfuAQRooolsSJJNECbQQCgxQG39PUKjG+F+K5AWeWAu58XHL4tMex0xMo7bN7k8eluxTXXdJG+Qs8d6TBlvEal18AG2dWWG43uWKLJNaGrz7mE/Qk4/WY19444Iv3Rpyca7DnQpdzqwP2HnXZtmGCq3Yt8MCzHR7aKwhCj0t2TXLJNp9LtnY4cm6Zw2fgsf01Dh2tU3MEviOp+4aKC1LaoMoYe7HGCYQxhImgGwjaA0E7glDHaDPg+ovavO/VbW67ImHTpMcgaLLUqtLppWQwcFNQK/qBoDeQ9Ae2b7Q/iK3UG2h6gaE3MHQGgqU+3HZ9lxv3LLHv2XtnF4P+B1f71fhjH//6RwJzgO9/zz/4mwvwcwc/zKa3fJrP/jJ/WyZzvxG32uPCCCrNhPFGhO+FVP2IKFIk2gJcAEJIpBAopXAcy1iuo/EcjedqfNdQcQ01L2G8IugELivtCT51X5O7nxmwYaLHu1/e4pJtAwb9LpfvMmzbqAgilyRRJNrKIYFBSo3rJJyYNxybE6z2NZ9/oMaZxQlM6DJRUWyectix0eGCLXD57jZaLvL7X6yzvDzGTZc4XL67xTefEYjYZXZCUq/F9CIPaSQYiXI8WgPB/LLgMlPj5dd1ePDJKpunPW66fJIfeuMif/TlDo8dqNMduCytNti1ucqeTT1uvLjD21/W4ezyMp9/wGep53PinMuZMx6uEkgpEQi0MSQaIm1IYs3EVMSVl/UIgohLtgW88+UBs2OKyYZPFFU4t2CDyF5gV7n+QNl7KOkPBP1A0A+wK0GQ0BskqeQx9AbQDQXdSNCOBa2OJhgITp5d4ePfeHB6xwVjv3HD1Zujv/OOT//53l/6OB/4qXf/zQP4T/6Hj7Lp4neIr38tedfBowf/4Ny552vvekWVyekYpVa45VKrFSteSORnoAMhQEqDkhJHSRxH4igLcNdJ8FyB52oqrqEaGWqhYaySMFEV9EJJJ6xz7HSdX/7zSdAxIo657soeuzaGxDFoozHGJnGkEEglcFyPAyc99h2uUK84NDzJdE0wMyWZnXTYPKPYsSlhz45VErHEb36myYmT49x0scslOxP6cYeHn/MZr7pMjRnGGyG1qpVCWktaA8Vy17DUSmh1q7z08lUe39dj/0nFeLPCjZeN8yNvWuK/fBaePFyn2zesdhzml5tsnK4xOzFgx9SAf/GuHs1ai2ePwYFTEtc1KGUQQgPG/s9AHMPOjQm3XhGTRC5R7GNMjUHoMrfo0Q/sijYIVS7f+qFgEAgGoaQfQBDa82OljtXz/cDQCzS9UNAPoRcJEgMPPl3lH/zagEQHHJtz2L7rufGF89Ef/MFH3hv/h/cnn3j/9/2+mdjxo39zAP65z32GO66ZVTvGP/62D39+7iOnzx2uXLAF2uF53vCSEKM1/X6FSCZ4bkzFj9BGQApwIZXVxMrYFLsjGLgKz5UEocYPE4LIUI00QaQJQ0MzhiDSBDGEsWAQSYLEJ0oq7D9c55n9kBiDhbbVxq4ET9maj4YPl2+CZhXG6pKJhmJq3GF2ErZvDNg0s0pklvnNz4xx5OgY116guGCrZPfWFb61N2Z+aYzrdkkmmpqK18eXPkYJ4kQijCFOQla6FeaXXK69pMrVF3d44MkKGyYEtUqDay/W/KO3LfEbn9XsPdNgtatZ7SgWVhymx+tMNKtMNMdo1iJm6hE7rg3x3RjXiVEqQQobTBjsRRVFivMLDlGsiGJFGCmCKH0MJUEkCULJIJQEobABaigIQkMQ6vSeMIgMQaAZRIZ+YDV9L4BuKOnEgthogkTyjUdroDU3XbnA7s0dtk89Udu6SX3k4Xsu1g/tv/ozn/3sp5K3vvUd3/0AP/r8hxlrrqojZxffuane+mPZmascP7OFbz7ZZX5Z8/M/FnDVDoPrJDiOlSmZZAAQ0iClwZEKxzG4rsFzJZ4rCFxB4CnCyAI9igxhnFhXJC7dE4gTQ5JoEo3V25oc3EKkNqQE1wXfEVR8Qc2X1GuKsZpkYkwwOxmzY2OPRn2VzzwYcu9zk6wuNrlyu2LHJpeLtg1IxCpffaxG3XWYmVA0agOeOwIvHHW4YpuhFyiuuijiyt2GuXMJCyse/UGN193Q4f5n+xw6o6hXJb7X5IoLNP/+B5a4Z2+fL94zzVLbsGM2YaXlMN5UjNVdGjWXetVQ8TW+p/GdBEdZqSWlPQfGYBNWWhBrSZwI4lgQxZIwFkSRJIis8xJGgjAyhCEEUUIYpeCOrNsUhMaCPDJWl4eCbihoRYJ2DEkSQ5IghObqC1f5mR9Y5Q03Oxw6sZVvPd6utOLFPzHewb/77MnmJ3/xNz6W/OxPvue7G+Cdri873eB7dXDsd2brc5XX3lpBVjucvSfiC/c0CPvwrju6vOdVIbXqIF9WhbAnSUmDIzWucvAchecoAtfgu4LAk4SRsCcnUkQxhJG0DkJc2H5xokkS6y4kJnVKUreksCAFjiPwHIHvSSq+pF4VNGuG8YZmw2TAzESH2Kzyifslf/TlKWYrFa7cLti+yWXnZs2OTSt85mHD8nKFSzYqJprQqEXMH5ecX/HxdkEQCWbGJOPjcOiYYaWtmVuscNHOCq+8rsOd91WYaoDveSg5zhW7BT/6+vO48jxfeGCCF85U2NCOmB2PGasrGlVFrSqp+g6+B74LjmNXOylAihLIsRd2oiFJBHFCCnSIEkMYQxQllhQiTRgbwkind1JHBgaRYRAJ+hH0QkErkqxGEEURBH3GKn3e/cZV3nNHl9fdGLHarnLvM/CtpwSnzh+q7Nod/8FVF+1wqr77F1ie+e4E+L/9jT/nM4/oH7jj0md/daZytHndpRIMTE51eGRflb2dGl99ZIyHn69wbnmFn3hnj/G6xnMNsqdRQqfet4vjaFv959ql1YJbpYwjLBOlrBTHECWQJNZJ0NoGXFqbrIczBbcFuHVmBK5jAVLxoVbRNKox442YmfE+0xOrPLg/5E/uqnLg2Dg7x1x2b4StGz22boA929v04jaP7mtSVS4zE4rxBow3AibGYjzPQQh7cfUDj+V2xGrP0OrGnF/x2L6xwc2XnOeux3ocONOk5ke4ykOIMXZvUfydVy1y/Z7z/MldDR59fpylrsNsM2a8FlOrSKoVhe8KfFfiugJHSZQitQ8tyg22h1VrcqDHiU5XN0sKUayJEwvuKIIoNinQjZV7EQxiwSCyQWUrFnRiQ9iPIO4yVevyE+9c4V+8r02zJkArTp6P+Nj9fR5/PgIUh5eONite+zf/4z/b7P3IO/7rH9U3/u9zVv63AbzdaqGU+uGf/82Pf+BX/mR+6pU3JlxzQYezi/Dxu6sstGvgVUAZVkOXX/mowwtH2rz5ZT1efm2PDVMRnU6MEyS4ToznxgSRi+8N68cokkSxJEosuKM4ZaZEpkwFWku0oQC3TVKmzA2OsgkTzzVUPE21EtOoxEw0AzZNt5lv9fjtz7t89fFJllfqXDgj2D4r2DLrsXVWsGvzAMdb5aP3Ohw9VefiDZKJhmSsniBlwJkFg+9IpABjBGHksGO2zWMktHuKlbZhfrnKxVsrvP3lLT75TY/j8z6uEyGEizZ1olhy3a4Vdry3zVef7PFnX53kieN1tkwIpusJ9UpCxRP4rsBzJa4jcBQ2cJYir8kw2ItMG6zTkljA5yBPrKSzqyCEKbOHsSCIIYgF/Rg6kaQbQz9M0L0BW6c73H7dKm+5vcsbb4yoKo9+20EqwUQ94cfetMwn6glnF10u3RnxmmvPTnU7mz/o7/hB1e18/4fqjcZ3D8AXFlcxwvmhz9x57weef+bA7GMHJ3jscJ1mNaLdg1OLHiiFqKRet6NpRVU+eneFe5/pcc2lPd77qh5vuKnN1FhIb+DTDzz8yCOMHHtPg6UocogSaZfaRBLHkiQRJFoUWlsLclWSOTMClLKug6tSu9FLqPoxjWrA9HiXftTnm88ZPvatMR59fpwJz+WKLYZNk5INUx6bZyRbN4RcsGWFZ4/3+fz9M4wph5kxQbMuaNYiWr2ELz9coeEZhLDA6gcOb7o14EuP2JqYVldzfsVh62yDt76ky6P7O+w75FH3Y5QUFuS6xiC0Wv/vvLLFxZvO89F72jz0wjgnV6psbArGKoaap6k4Gs8FRwmUtBeyZXLIyo90KtW0Lla4OAW6JQiIEkGYpFnRWDBIBL1Y0E1gECYkQUi91uWtr13lva9qc+2emE1TkjCo0e25tkYfQb2iedMtCTdc1KXdU9R8F1fVOHni2Gws7/nAjt2363Cw+mGvMv7XG+Crqy2Wlts4Snz/l79236984rPfmFpebrF1QrHc81lerhBrmG5aTWiAxAgiA5FySVyPU+0qZx6u88izPT55ZZd33tHjtbcGTI65hKFPEHmEkUsUO+ldEceKOEkTNkkBcG1S5tZFTZkQJg0qbR2HlT4JvhdR9UMa1T4Jfb7xpOTP7x7n+WNjiMhn54Rh07hhelwxM+mxcVqyeSZi+8Y2pxY6/O4X68RBla1bBeMNh2YdmrUI4Ya0+3XGGwYh7AUdxZJJXxHrmE7k0eklrLQVZxaqXHZBgx978yof/AufEwt1HBWlF4ZDHFcYhJKNUz7XXdjmygu67D1xho99q8pdT4xztlWl7isaHtRdg+cYXAWOtOl8IYar6zRgtL3oEm0tvjgR1j9PBGECQSLoJ4JBAv3YEMcROgqZqvR53atWefcdbW67Mma8qoiTKq22RxQ7JFkTihYYBMYIfAfcpqLX95hveXS7LY7t/+ZsouWvbNl5S9xePf3fhGrSaPzVzU/8KwV4r9dnarL5lscef/K/fPObdzejQYtGVeJEBkcljMWCKBHEWaCTlXsaiLRgoB0CpQhjj/NBlS88WufevX1u/HqHf/yOLpdt7zAzrmjWHcLQI4xd4gzkiUrBLUm0RBvro5s8I5oxt0YpY2tanBjfi3FVSLsfsdCO+M+fqXDs/ARP7hvHaI+pqmB22jA9JphqKqbGXTZMSTZOxWyZ6TE1vsJXn9I88cI4V24VTDQkjZqkWdPUqyHCDfB9B0fZv28MJImkHzj0BxGxFnT6mk7XsNx2mVtqcsueLjdftspHv16huqxwZGQBaRzixCOMbI/n9HiF63d3uf7CLo/dfpYTC5I/uWuc86s1Ti/5eEpSdwVeJsOkDTxzIs+kCpbJYyOINMRaECQwiCHUBpIY4gipAjZP9LlyZ5d//PYON1yaMFZVxEmNTjc7H4o4cUi0PRfaWJtSa5mTUBil5RKhw6Dd5+zCfVOXdCr/5ZLLrlkJgv7n/yox+VcG8OWFA0xMb1Af+9hHL3xh3+FmFLQZb7oMAp1r3EpsCBOTs4R1NewBjRLbpBtqGDiSga4QxB6LQY27nmjy4AsD6n7A3/2eFtumYnZs7nPL5R0cYVvEECnAtcLoLNVfYm4MQhqUsJ65IQYZs/eY5PH9Dnc+2mDvyQZhXKPhKGaqhsm6YaJmrA/edJgcc5gaF2ycjNk802fTzAr3Ph/w+3fOsmncYaYJzbqiWRc0ajFVP+DBg/ZEunULKmMEYSypOIprLu7zyHPjtvCpn7Dadllc9ZlfnODHXj/P6cUlHnl6BlcCIkIDcewQRi5BKOn2HSYaFcabdW6+uMftV/Z47ysW2H9K86VHKzy6v8rBo3Vi4RAEil6kUCKr7ykHnmlOwGhibTBa44qEMS+kQsTN13bZtWnA1umI9702oOpJGlWXMKzS7rrDwE4kcaLy1VQbmYJdkMSSMEnNgVAyiBT9QLLc6tB97IHm3NzZC9/wpnerJ5/el1x3zaV/fQD+zLP7GAQbvAceefQHExP/ahisUK24CKFTOWBwFIQKvDSQSTIW14I414AmB3uYCAaOYJC4BIlLT1fpdGJ+5aMTmDhiw8yAy7YPmBqLeecr+2yfDYkikeptCSXmRmQZUY2Qgk/dU+XZI3WE43DibI0z8zUqVcWYLxivG5oVTbMCjapgrKZoNhQTDYepcZgej9kwNWDLbJvErPKp+5v0u3Uu2mpo1hSNmqRR1TQqMa4b8tVHKgQ9iTtru0UziVKvKl53Y5/7ntJ0A0m3n9DuOax2HOaWaly6q8E7b2vz5N4aJ5YbKKmBKNXLLlGiCCKbmOkOHFpdj0a1Rr0acOnWATftGXDqfIvj51Zx3IRnjjp88ls1hFIW3EIOn0SjAY0xhjhM2LEh5t2v7DM9lrBnu2HDFCSxSxg2iBKHlbYFdZQ4FtCxJZhYK0tg+WoqcoBndT/W+ZL550+05OTpBWY2bPjVAy882Ltw1+V/dPzo3nDnBZf/9QD4oHOcFTN/8cljp377U3c+IrfPeniuRBsDQlpZ4IAbQxRn9pRtBUtMAfZYCxvJp2CvJ3bJDBNBqCWB9gi1R6RhodvgW89qDJrPPWpHNmB0ei+swNQLRAhla1qUIo4cpHZwHUnDh10zhrqrqfmamg81X1CvShpVRbPmMNaQTDRhaixmZiJg80yHhBX+86crPPDcLLunYKKWsndN0qjG1Koh9VqfarWGryRKphocKweiyGXQF/SDhE6g6A40nb62LXN1j9PzY7z0soB/9K55fu2TDidXfYTQGBOhE0MUu4SRZBC4dPuKRt+hXvGoVSvU/BoVP6JRDbnuohDPjbjhopj33dHDUXGaBNIIYYZFeSrptJYIIfFdBXgMAoelFcfW7aR3y9BZ7KOIM5ZOiuI1GwvJFPA2ixuVEkw2mWTtXd/XLJ17RO53nN8+fDK63yT95/8qsPm/DPCP/OmnOHZWVRcW9r9t4fwhccVOnyCy2tpzZZqwASc2xNLgOiIHd5z7sdnrYWbPKuJiU8iaWENkBJFWxEalBUU+SWp7lU9Wim2UAEcIm6lUUKkaKo6hohJ8F3wHKp6h6guqnqRWldQqjgV4XTDe0Ew2Y6bGA2Ynu2yeXeL379T82V0b2DaumG5omnVFo6ao16BWtXMKzy1pjpzzqXh2FYOs0k8wCB12bdRsnB7QHnj00/LTdk+y2nFoVCs0auO8747zHD03xx98fguOdDBoEp0Qa0MUOwShoh/apb5XkdQGDlXfpeontDo2xvDcBNdJcN0ER9pGCSltOl+kd1u6IiANCLUWtHRaZanTuEYXMU7G0DmwS48ZoJP0v7evsS5XIogj8rxFGFuy01qx71iD0wtPiuuv6b3t0ksuOfLIA5/u3/zSt39nAf7yG4Q3vzD/U4cPLv3UqXOx3DnrAhasUgjL3lIQK03sGJLYlJg6TcAklIBtCtDrkfdNAXyde7kiD5TKmhvSGpM0sHKkxsm6ghS4SuA6NiPqOYKKL6l4kqqvqFYUjaqkUTOM1RPGGzGTzYDpiR7bNyzx6MGAj96zmYmKz4aGplkTFtxVSb2iqVdiGrWARw/AM/trXDhjUt1bpM37geKGPYaLtvd57PlxeoGhP0jo9p0U5C61SpVqZZz3vGyZZw6e55F9G8EotE7sxR8b4sjk9ST9wKE2MFQrioqn8T0X30vwHY3jJLiObRhRymaIpbSlwQiDoNBzRXAu0uMr8lS/BbooyQ9RuFa6BHAtShlTkWdOo7RMILcis1U9see0UYnk6TNL/+bkwlnPyNovAuF3DOBh0JNB0P+5x5/6s39mgvPerg0uAvBcUFqgZHpPDCoROIkhUZkGT++Jyf1qC25RAnkK4vy5sfdUhWTJm3KutwzxLFWdJXSUTDOWirTk1jYM+K7E9xQVX1H1BbWqoFE1NGsJY/WY8UbA1FifzTMrPHKgz8/98QZOnh7ngmnNeA2aVUW9qqhXoF5JqFYiPHdAa2BQUuEqg5TFJ7OsJolij2Y1ohdregFp61dCpydpVRW1jk/Fb7BzY8S//8EW//Yjkof3bcCg0EaTJJo4iQljTRgpBqGi70uqgaLiSXzP2Gm3jsZ1rd/vKGMBrizAVSpThDBrGnSzmnxtBEZnQLevk0Sm5yUD9jCos/fiJJOkolQekK7EibEGTWJItMZoODVfITg15+3c1fhXP/R33+f+QLf3/zXqtf/pdP7/NMAH/TZJEv3i0QP3/ZOlhdOVRl0VaWCTLUk22RDnV60FtZPoFNgmTzIk2qCTwpPVpZRy1qWSsbUZuQMl/kkTGlkyJwe4SLuBSNPyAteR+J4dAFTx7UiGqm+oVzSNWkKzFjHWCJls9tk8s8oj+3v82z+a5sDJSXZMWoelUZXUa9Kyd9VQqyTUKhFREvKnX28glcKVBiUKm1AbkWpXl7/zmhW+9kRIJ/TTxoGEbl/R6SpavkPF8/HdJnu2xfzC31viX/+R4KHnN6TuhE2rR7EtNAtCTVCx5a6+L6i4At+zmU3PMbmb5SiNVNYbl8ICXZTtw9IB1Wm+wugC7LpUvJXo4efl5JoFdwHyJGXtJE8m6Tx7mmEhO9eHDx+vfOFL3/qnb3vzq8Tqavunx8eb/2cB3lvdjzHm5vlTj1cb1QGe4xLFqU5Ov4iTL0sF0JPEpEtaCeDpFzQmy6qZnC1MLkeEvYDK4F7nc2UAz2owskyeUgInLaiyAJe4rrT1G56g4tuZJzU/oV614G7WQ8abfWbGWzy6v8fPfXiSvSem2TohmKqXpEnFoV6x9SvVSkzVD3HdgDNLE7hKoKRObbkiyEwSSRwrNk3Y5Ek7qtAPjK2zHiR0BpJqT1HxXDy3guuMccnWmF/4oQV+5g/hkRdmUzmgrcUaJymTawJfUwklA0/lEsx1wXWsRLN1KgZHksqUtGpTFMcwu9kMsBgilGyUhjEZwAtSy8CfAXpIZmZgLpUFlAGe4SBODL1+j6/f81h1285dN5dXv/8jAP/GN77OvU+N167d9JueryIaVY/AiYtakFgQ62I5yoBur97SUqazWojs6rVsbnS2Epg8pWxSOfLtwA1FSjqrEpSpTLJpa1nqCBJ4LlRc8D1NtWKo+lY/16oRzVrIeL3P9ESLJw4N+NcfmuC5EzNsHlfM1DVjVUGjIqlVFLWqoFqxF4dN9Yc8sk/QHXhUFOlFZjV4Vi2ZaEEUO9Qrilsu7/Do3ia9KG0HCxJ6fUXHV/iewnO9VD+Pc+k2zS/9yHne/3vw0L5ZIi2JtE6bpYsezMCT+J5OS4tl/p0dld1JZUoh42Sa5V0P5Gn/RC5b8nqWFNw6NbBsAq+QlXkVZ0mS5qXLSakGRpcrQGEQCebPtPg3/+UL3pd+9S21b37ja707XvXa//0A77dOUWluHb/7G5/93WcPNF/my2V8T9uabcfgRILYyYqeBJEUODrTXfYqL67sLDgpAkuTAztj7zKos1LXrJi/dDKELSgSMgV3WmSkcoBbFncdy2Sei+0E8tICKz+hmsqLRjVgrNFnotHm6cMB//pDEzxzfJaN4w4zNc1YFeoVQb2qqFUVtZy9Eyp+TKM24N5nPFZbFSYmijR59pl1GphFiWJ2SnHH1V3ufVzbLppQl0AuqbiSiuvgOh6OU0VKzaXbDB/4kfO8//cMDx2YJdIOUVYBmJicyf1I5tWFnmO7oVzHrmTKyY4N+efLLsJMqoisKo0iIQTl+IeReIic0XPJka3IpbgrkynrATtKsFWNCbgiYcdk8LIv33/kD1/5qrf//WeeP7V69RX/Y1ur/A8D/MSZY0h5+v0V88L3Jmoe31OAxnXSqj5l67EdZaPpXIMrkQM702b26s40d7H02YNmhgLJIeYu/i/PyGXSRMisgq7Q3VnFoKOw9Rlp44Tv2UmxFS+hWompVSLqlYBGbcDkWIsnDwb81O9N8/TRDcyOu8zWEsZqJgV3yt4VSdW37F/xY2p+SKwDOqGPUBI3Y/Bcg4s0zrCFYVHkUvcGtlwgrDCRgXyQ0PNUuiWKxHUcXCfbgNZwxU7DB//+PP/ydzQP7d9ApB2CRBAmaWNCJKhEtl/VcwWeo9PVy7b8qXRFs8cn7crPHkuFWeUdTMrHvwzqTEZmEjJbjXPiSgqg50m+pAB6pE1a4pxVMlqMICQHjixQbxz63gsvfuTIIIh+5n8rgz+9/xTVya07vn7XB668bPZJLt4B3X6FMHbS9KtDqCRKKZQyRLG0FmHZKtJWsmS6TCe2JkWXHJM8cs+liRg6sDkXZqxdOin5cpt26Kg0mHLSMRNuWoSUVQ9W3CTVzRHVSsBEs8dYvcMj+2J++veneeroBmbGHGaqCWMVQyMFd7Vi7cQM3FU/oeLFNOsh+44b7nmyjiclrrKdNeW9bnTKdFGiiLXDy6+LuPCCLkdOVpmpwSA09h4k9AYpCzsKx3FR0qRJI8PlO+CXfnSRn/k9zf17ZxhEVYJEEsaGWlrH7btYkDvZ6qVTiSKRKimcLilKABd5oJ5/alEsmQWTW0CTr7hZlaLJyzB0ah4UMVea70iyWC0t0Y2zCQBpi2F6X+65mCOHeeXR8Mr3vONndsSDIyecyu6/eoAfPT7PzNTYzm/e/8ivP743esvzss/ff9OATTNVlts1BoFn7afQSUFl+yhjJYhjmYPcyZm7bA9S+Np6WONl2q+cwymO+DrgFgapMlvQlHo57d1zNK6r8V2N78VUvJiKH1KrBEyO9Vjp9LjvefilP9/Is4enmU7BPV41NKqCekXkXrl1XrRlb88CvOoHhEnCoF+houxFJoUYquTLEik20HSslncCgtDQj0QJ4BrPS/BcB9eVOEqhpJsDHAFX7RL80t9f4Vf+Iuah/VOcbTUZ1CXjiaER22kDfnp3c4lmUruQEsALBs8/rxhm8ILKwaTzKdausqakzTMnrOSUZVlsnZXkFqwdxLYXtBdLWqFgpZcwM97iNdcusqE+/Zb5k48kE7PX/9PO6vzxxviGv1qAVziECSo3+fHetz3/7DkeP7md5c4Z/vX7VphsJrRk3Ubk0iBD24mjpE3lRtKkgabMpUk2hyTRApMlfFKnZMgGXBfclMCdjXvI2Nuk8sSkVYOWuR1Hl0ZNJDm4fS8F92SXhZU+H/jTGp9/eIbF7gQzY5KZSgruitXdtTSwrPqSmm9SBrfau+KHQMjdT3usRB5TPkP12IiSE2HsihZGDk3f4ZXX9njkQEgn8hmLtO19DDVeYGvVPccC3FEGJV2EtAkaDFyyTfJr/7jNlx7p84sf3sDpxQn64w7jnqARa2ox+JGdIeMpO9DIzQJNKfIgOHssB+pihMVzIi+dm6yRRI8A3BhTclmK5zlzp7FZuea8FwlWQkFrkDDTWOJn37vAO26r8uAzc3z+3OG37byw8adR2D/+V8rgvX6XaqV20RNP3f2TDz7zBI4PSvr86dc2oKOQn//hHvWqTI+BQQo3lQmGKLZyJY4ljrYp93JiwB6INFOW24Ai75ssH8wM1OWDLdOCrswFUBnAlbEj3tLsXTFmIu3c9yJ8L6JR7eM4Pe59JuEPv9zkzgdmCXWT2aZgumJlibUAM59cpXeRMneZvSMcJ+DBF8bphQ6batnnGWXwzEqTRLGi4ipuvrRPrC3A+5HIG3uDdESD62QWp0qBaLOPFnCC6XHB976iS8M/y4e/3Oe+F6aYi6r0KpJmbKg7xoLcSeMQZdK4xKQgN7nrlCXIhATB8GfPg+Vy/sGYHOy6xOhl2Znd88K6tFQjitO681jQjwWroWA10ExUV/n5H5rjXbcL2t0KQgWcP30vV1yx9Sdvfdkrnur1e4dq1dr/OsCXFk7zmc9/nZmp8c2PP3P49s9+o08/rtD0DP24wifunubNLznF627sp/vkFNJBCpWCTqKkrWFwRgFuRKrdRH7iswNY2IEjZa+ZPhSFtSXTZIptVCYdTKlz5naVrcXw3QjPi6i4IbXaAM/r8ed3Ofzyf5vlyMIkrl9hY0Mw6Sc0fUPdh3raYV/1bbazkiaEbP1Kkq4EVp4sthO6oYenFJ40eYCZfYXMatOGvAApjF2q7oCN431Wew36kUjHrdlYwXWT1OZTqd2piuRMHrjayse33NblhssW+KU/GfBnX51hOa7T813qrqTp2Boc3wFPkTdDOFnSR2alDaLUBWTWBfhakLMOyMmTN4W7UhTWxUmquROrt9tpZz7xgJdducK7XhERBpP0A4fdW2Gy2UL2D9/+wrPe5jhsHTpy7CS7d23/XwN4kiS88y2379y7d//vz50+wtYJn24Iq72EUCsWWzU+dGed1920iuu4th47AzkGKVWaqte2fkHJHOBaF3UOQwFlibGL35UexSHNXYA7Szvnnfg5cycpyGM8x0oS3wvw3T7H52P+4Et1Pnv/FEfnJ2jWXCYrMOEnNHyTpt4zcMsU3DJPClVS7e179sJp1gM+86DDoRNVKkrYjGEGFAqUF8kSq8Oj2OGSHfDGGzr84Vem6NYcmpEdz+CHadygNI4jrfuhKIHcLSHOrgrbpyU//X09rtx1mt+7c5Kjc2Msx1V6rkNdCWop0L20+M1NXaasbkeWMq85m6fR/HqavBx0luOnsleemFLnkE7twLRzKEgE3VjQTgRRElIVPX7kDW0c4bPYq7LaqdLqVFhpK5ZPHefqm674/e07bvqefq/z35Uq3xbgUahxXMEzTz+99YV9B3e7os+FWysst2O85YTVwLAoHFb7DsgEx4lxtB3aYyhGP0ipLIMra/AXXR5FRkwPyRKxru7OkxDC5OySpZql1Glwa4optI5tWHacGN+J8f0AzwnoJCG//QmPD39pI2eWxtGqyuSYYtIzjHmaWsrctTx9L9M6lVSapN55Dm7PZi+DKOTQaZ9u6DPhpy5OlnTKQJJ9R1OqSYkcmnWHXVtDlD+gEzboe4JqOofES+WVm0oUJ3M9hHqR4FUxM9bjx97S420vn+PDX2rzB5+aYrFfp+9UqDiKmiOoKoMfG8vm0koVRxa2phRmqJ9TZASzDlaGSWmYyXXJJYtLDJ6VQgeJoJNanOgIYSLGqgmJrjIIPBZWapxd8FlsSVrtDuOzh3bXq9WtV1x59fE4THC8F99q6tsCXEcnQNVmNs8mn3iy/Yy7a6tLfyAYaypiPWD/fILUAbPjsWUTmeCoBK3jdNZfAfJE2nFsWokhgGe+MDlzi1JgKfIqNwvubFk2w+wtdBpUapRKLMAd+1k8N6LihXhuSGsQ8uCzkj+/q8mn7p9ikDTwPI8pTzDuaeqeoeYbal4B7oov8X2Jn0oTmxhKnYkU4J5rM5/Hzhnue6JGGLn4dbMmwMyPa67B7XEII4XrOtxxQ4ePfqPLgdN1+hU77yVwDV4MbqRxQ41S1nq1WlkWw30ygGceu5bUfIcN433+5Xt6XLo94M/uavD4vjEW+nUGysN1HSqOoCrBVwZXGsvmZakywuLZOc1JhxKwGbZ0y1Ilyb5zCvIM4IEW9NKeT6MT0DFGGxbaAscJUSrm/IrkyGlBqxvRH2hOfu1Jd/P2qz5x+tzK1Z1ud+F/msGPLWyRraWnb1qd/+zYNRcfp92bYnG1QhgpxhoB9YlFjOzxD/7WKp6y++coGeOqTIcbpMiArfOaYp02BBfauwA3I7q7DPBcDwo7fy8r91QyzaSqxAJcJbkccZyIVjfigecFf/yVJnc9OcZyq4GsVmhUFeOuoelpaq6h5hmqHilrW+au+pKKp6h4gopHWqGnU3BrfNfqb+UEHDwNZ1oVm1hJ9e1w4iQn8LQPMq2405IwdNjQFFy0rc9zJ2N6kWvHNETghVgPXyWpRMkSNSBHOnOGCqESSZTY+vB339HntTeu8M2nOnzkq00e39dkqVOjJT26nmM3FJACX2J7OIUN0rNitYzRLcDFiwadBdALt0hTeP+JFsRpD26oYaAFAw06seAmHf32C3/c5PzSgNh0OXSsy4nThihJON8SLPW7XHDf58b+7sbX3nTJhZd/hW8zPOjbAnx16YQ/v6h+5wO/06u/9WUhb3/pHJPNMQahw7V7ArbMtqjXWxijiSNVTKNScQngGqVVDuokZ+5SU3CpmGd0AbQJNZMvkTl7Z7Ik7U5RMkHJBC9zM2TEQifm3iccvvxAg8/fN8b5dh1RqeA2XJoOjLm2k6fqksoOqHoivcu05DTV3Z7Az9g7A7gT43kxFS/EmIi7n/Q5ca7K9KTAlTrVs6Jo9C0hwJTLTBNFP3DZsUFwx7U9PvtwSDdy6UeCimvwYsviQVRepVTuVyPkkEyxd5k3KtisqUPVD3j3K/q8+oYlPnd/hy89UOPeZxucb9XoC4++5+C4CkcIXClwpcQVtihLUWZ0kyfYymdsSKJQmqaVMnmc9t/GxjatBKmrYrSVJpgY0GgpePJgnR//lXGcSpNNkxWmq5p+JGnHIW+7bZm/daOpTzfF7/RaZy8F+v9zDH5kH6utHnEv5Dc/vQEpT/PD33Oe7qCCUgmxhsHARckM0Lr03CC0nU6VGJ2DOmfvNcz9IhVj+cE0+QVjm4c1QmaTr1IpUonoBwkHzsDxs4qPfX2Mrzze5PxKHdwKTtOlpiQN19BwNFXXUHWh4lpwV1w7k9CWmcrSXaT/blKQ6xzknmvb046c1Tx3zAfXTZf5wkERZQpn2G1I8jppO875il0Bl23tsv9MjX5FUIsFfmQIFKm1p1P2ztyUzMYrtErus+cNCiqdPuAyCF2q1YAfeF3Am25Z5WtPdPn4N2ocP1th/5ka4apP7DsMHAeprPulSP8eNqZQmTykGA1XLn/LZErmGCVYiZJoiLPnxmC0AZMxd5wzOAgb9UpF4sD5gWE1EPTCmB994xz/5K1wdl7xwv7jKOfbKpQXB/jq8mkRBsFPfvnOj0+/+nqXrz074NF9hn/67mUaYz5JJNA6QYok12RSJKk3a0iEQkqNlgkqG+OgJZryrAys9s6DSjHklpQ1d9YVL4VONXeC79tJqkkSc24Jvv4tl8Onq9z7aJUzK1WOnK2B76NqLhVHUXcMdUdbFyEdnF9x7bg2C+LsLtO7SgFOqrlTcLsJvmvZ23MiKpWQYwuw73gNVw7bg8PadTgAM3myK+1rjF0u29Hnotkezx+N6cUujUgQOODFdi6gKgFcSoGQcojJoZwVLsmgvNtdESUugevRrIb8ndcMuO3KFmdW2tz9mMfRUz5fe7LG2aUKSd9FS4fIs2CzwbLMSyRkqVRidOXNZQpZt1WR6Sx6ZxN7J7E1GyYDeFaMHmPiPkEQE0SAHHDbZSvML83wrSeqaHVo+vve+70/eez46Q/u2rl13XTgiwJ86czdGJ18767ZE/VLtvZ43cvm+NIjAb/zuQpX7IrYNKG5cFeMKw0mMXmQqIW0+tgkFtTS7iFvAW473nP2TjX38PVfkiUlSZI1yiqV4PoJUWI4ekrw3FHF1x+t8fwxnxeOVWkHPkHog+uhmg6+ktQU1BxNteQD+05Wp5GVzdq6cD+VJZ6n8DyZXgCm0N5uYjOLrtX5FS/C6JD5ZUlgfBxH4kmDk2pXMaLBoQB5Yop+xyT1wwUOM5MhUg3oRi49R1inIyoKxhylhzKQUpSi2GzYESIfn5FkZQFpH6WbqHz8RC/w2DgRsn1DxHUXBPTDPn/3WIvnj7t8/ZEqzx2rcPSkTxQ7GF+RSJVmgErR81AcUBYspfpgMmCnkDelJvHy66wYCSAWODJm9642WyZjLt814MQc/N6nPVY6monafN1vPvy9jqM++D/E4L/7p1/lwX0r6qotj4uNsydY7kV84psuX3l0iqVFybgXsn1LyBV7Al5zY8Arrw0BO9uvWk+QOrH+tRbo2GpBUl2YTTnKDkY+lKd8iNLSW1I5EoV2iwwh4PhpyV/c5dOLFE+/UOHwKZ/FrkcQe3b2sXJRTQdPCqoKatJQccB3NL5KC4+UZW3PtdOWvDK4XYmXyhLfA98jdU1sytx1NJ4bpxnRiGol5PxKwtcfatDq+EyMCZw06M2Kvl7MOzZD3TCSIFBMTylee8uArz3e52SrTt+VVqY44MYGN8o869Rjl4m1CynPOpH539DGKf0NgU6ZPHEUsWvHPkSRa61UN6LuRdx2RcTNl4a89faAg6ckz+xz6YeKP/t6jWNzLghJr++Q9FVWZ4vdRf1FZOZQWroMcoOINSIbimo01XqC61pye+V1Ea+5YcDleyJ2bNGMu4K5RYeKu8QffkVzdKnKA88fFD/zg5eouWNfiDfuevNfDuBSQDeY+O1/+TvOVcvtjfRDyeGzLkEsSOKExd6AY8sDHnou4hNfj5iZSDBorr045t2vGqS1vjAzrrnmioh6JSlWniGtLdZ4qkJCqwfPPOuw1JZUK5JH97l88f4Kg0gxiBTn5jy0cIiMixYuOA7Cd3CkxFOCijRUlKEiU6ZWxtaAO6nn6xTM7WV9mTm4VdqjKXL29lyN52UFWknO3p4XoVTIt55SfPbhBspz8KVJPWWGHJT1GDzzwrNxC1GiGAxc3nRrn88/2ObP7h6jG1eopzrczXR4RN40nHULCZFdSdkxlSWtL4ZsyTiRxI5lctdRxI6DEycW6CrBUTZ3MFmNuXVPzC17IowIeOcregzSjvgvPODz2D6Pqi9YbCueed6j3ZMlMs+emOEvnr422rYGXnNNyPS4zmvG3/3qAddcFGOMYWYiYXLMoIxDoj2CoMLGCY/33iG4+dKATj+mVpu/avfWG35ba/FjfykG7/VaVKvN5uc+/4U9Gz3UIPQhklw0Dp1QcD5QtAOBjjRBbJhfhfllBzAcPG744jfrgMEkMDahuenqiEZFo/WL9eAUYLcTXyWrXcHjz3m0WwqpFIFRBFpihALhYOcCOyAVUkpcKfEkNnEhNZ60QPAUeKqY0WdBXoxJdh3bCJA1HpfBbRne5HsA+ZkscYt6Ft+JMCbkzKJHGFTwxyRemvZWaVXeUBYzW7EZTm5lEiLRijBymWgotk2HeGJAP/bpx4KqYwuSshoSm9TSabNCVv0n879l/4ZMkz+6NARf28rOkjSK4yTNGyibIFMxKk4II2u5OjJBqpit03bchJAJl+4YEJo+0tG02oLHn3NY7UqUzJZjwdoznhnAtsmlXjHcfHXI2EQmc6HmgJvtTqEFsVZEsUd/UKXTr9Pp1egNfIR2kFoyPz+mqIg9L3/lG5ud7mq7UR//9gBfWFhGqdYH5+dOvGJmLMZTLr2BpjvQLLYM/WVFZyDtMiglGAXpzI8YaGnSZcvQXoVzd7/YRqAlSssue2GPjhECnW25gASZ1p0KhZASISVKCDxhExSesGlnL2U4V2a+cenRSTvpFenWe+Tgtm1ddksU3xN4DnmJqWXwlMUdjZdmR103wvcjTi1q/uRrdXA8XCmKADOXJ2INg5frNpKSfZoN1Qkjl/e9ts/n7u3zwnyDbuJSi+2mtLYK0BSdOCrLCZT86UyT5w0JslTgld11XgvjOAo3sYmxDOhKFkkz+5jYOEikM1WkxhEaYTQzVc0bXqLt8CWRsnRqEuSvXwQBIgGTlAgggThj+XT7FWOszg/DCvPLTRZXfDo9RacvWWpFtOPDr7j08lMfTOJkzaDxNQB/5KFvIaX0zs0t0Kg51GuCINSEoWaiGbMUBiy0AuIkRGfTdfLlqGQb2Fw9iTMC5pyts8CoVDmV/a4U6AgL5ixiV8LWTbgpoLPMmyutV+vKrKm2VEjkUJqDkrF20VVfAFzmssX3TN7S5nm6NDgnxk3Z23MipAw5MSdYaFcQjoMvGZInsvw1KbJ+ZekwBLxUH4exy1QzYMfGPvvnAvqJwyABPxG4icGNUx0eF5ncooxBDZVcFllFWdRn54GnIEm0nXKghK11SRSO1GmxWpLOUNGlnENS+pu6eB7q3MoVJYOg6LwaLZsrXQQZCkRxQRTOnEE4IY4WrPYaHDrhsdRyGYQQhHaO+eLCee6665ue3UzsvwPwqjwFCHZv6tMf6LSGWyKFpFGLufXaJU4trvClB32ePFRFCwVC5YCkpAXXBzLr/Bup9STywZDFRCpwU+/VTbNrjrTv58/TR5USfTbcJxsR4ShbPVduOLbglvbRy4CeBZ8puLPuH0fnEsV17EZPnhcRE/GlB6vML1RxxxReJk3SADPX36OXeEmDDw/VsUmfQWAn2L7+JV0efHZAO67QcxyqsSZMV6iiMKqUZRSaonMoCzQFQ3UhWln21pAo+zddLSzAE4NytB2SpDSxVMMAVxmDmxKbpytIGdwlkNtTrosez6F0f/lnyv9tdvFohIx56pDDnQ+6nDjn0mtp6n6ElLZDKIo05xYNR88ex6yzUgwBfN/ez+O41ZfOHbvvhvHKMoPAoR84aGO7QKbG++zeEjO7scfsdMjR3/FYGji5fLB3OQL4YRAXV2taa0xpQA9ZIsGmipUoCpZU+lrJ0vspWzql9jRHDgM7n4OisP2I6wE8Czgz3e1kssSkenu4ltxzIzw3ZK6lefJwFRwPJ5UnWXo+Z3CGD0G29JpyDXXOqjL3xKPI5doLA6bG+7RWavRiRU2BG9vvYis0DSoqA9wm24rciyzqe7KssTYpm4u0fMKC3FHS6u9EEKfPVV7ApvNyiAzsOXPnuYk0XyH1CIuzPohL75HXFumiQE/Y1aM1gI98scZvfXQzzalxLt5omG2EOMr2D/QDCJKQqybFDe9488te+urX3PnAu978xvUB/vg+jeuGb3jwkeCa6y+Y48Y9NTq9mr3KnYR6NUAT0+vb7ZwTIyyYpQPCTZ+nujljYooTnYFYCpM/Zu6SEjbul7IAuRIFWDJwS0GuP3Owq+K9fCRC9jzvXimAnTXfWvZONbdDrrczS9AydgFuN69OjBBE3Hm/z4PPN5C+tSVdWXz+chtdUfE3ms0cHY1mA81EK/oDl1su7/PG2zr8wZ0NwsSnm0gqid0rJ7+oSwVnQsp8om/xp16MyUE7spgmpqxMSZREKU2sBI6UKYPLdFCQzUxn5ckiq+TMmby4y1GQl1/LTIaQf16RJvCk0FZzSzDGAr1WAVkzhNKw0JUkiV2hYy1YDeCyXUu89eXeNbs3tt6QJNED6zL43LmzNJv1137+S3d/38FDEXXZ5JZLB0w0emgjcJyYihcw1uxycl7z9ftrrPY9iwzhgbR7SQshCoBSMG/GzgVjmxLgS69TQChRvJ9r2tydMCWQZ1sApnXSGXuXwO6k3TCuGga3Hacwwtxpz6aXtre5TtZwEJfuESERH7+7SWJ8VJ69LAeYpb5GCvsu1+AZi+dzRSQ6HzusSBIHgcu7X9njT78UsKoj+kmFfiJwY3IWl9IgY5Enw6xdOKpFZcmaFJT7XxMnbRBWKcgdg9ICJ5EkSqO0tKyd2MaVgsUp5IoYrhEaAvgaXV7KTGc1RUPFcxplEgwCERmalYRXv3TAp+7pcmiuwryq0E8UNWUzo4nQXLGrihMmLCzwfZdd/fp7zp0797VNmzYNA1yJiCQOLtw43t/9qmsiNs9OEIQrjNUHuG6E50TUan2WOwG/9tE69+5tgOuB8kF6qbMBXqqZM4khy0zMSBE9w6AuarwZKrgvRoyVR7GV7+l8jxTYGciVGhl2kwLbUaJwUnI70Hbc28ZkkzJ3EWA6Jfb23ZAnD0sOna1glIuSEk9qnJFVR5YE+KiLwpAGZ6j5I3NUothl9+aIyy7o8vDBKpHy6MeCigQ3MTixSAnEtsXJOF3mkQg0w39SlFhclKRRMbojG2zqKE2i7DxJK1Hs+OeMxW2ZrkFKmRKTGWL1NSyeS6j1AW8liZU3UthiK5VuBCxDw8suC/hn37vEz39Yca49RlSt0FJWss1UJUeP1/nouZjbXtbbfcElgwt7/fBraxj89PnzSFXF885z61WLNOsOzfqAeq1HxR+ACjh+zvBfPlPnw1+aIqAKbgVkdoKxSY4U4DkjZ+xLsX2GlAXYhRjRrKXno0X3eVuVKJpk83va6ZIzeWlMm9WXBcDLw38soMmBnWcrc+ZO8Byb2LFdQRGGiE/eXWNpqYrwHeu7lyTUmhqU7CAP+eBFVrpcx51709pusDU9KXnXHR2ePNwkSCr0lEc1sVrcyeMSUnBna4VOPfGsEiSVKiN6PJ/3WGons48SpdNyWZ0llEy6Yog8yZSxd87iORsz8rqQJoJhsEtpENqO2c70fV7akZZzVD34wTcExMl5fuvTISfPNohFlZbnI1E8fdzgiIiLr1xBR+eIwsFaifKzv/pFEIpgcIr33bHAa27UCBHTTSLuvFfxwvEan7qnwdGzdUJRAc9DKgdH2IJ5LyuWL0mKjM3KlWfZvPAs+CoHY3mwNDROLGXzEWDLddg7f50HmNmQG5nKFInnpAOAMnC7BbjdPBWv0+fJ0N1RtnPnhRPwibsaBNJDSZVmL4dnsoxmMEeN0nJp6eiIYq2z4fIOfuLwrtcM+OOv9Hj2aJVIufSkxEt06h4JZJIxYXb8ROpS6FSD6/RvDe9bVAzStOB20pXE0RbYiQSldT5+o2hMLkA/yt4ZIRUszhpGLwLi4iKwzG03S9Cp7ref1xbpea7iR94S8pobz/Ppe1s8f7zKvY82iU2FlYHDy65b5fbL72f15HESHQ8D/OjxM+zasbn2n3/n13f92edjfvZDTX73znS5QPLcEZ9+1yN2XXBcpHJQUlKRUCl50Zm7IYdY2QwDufyYg7z0M3KExXPgiKL4XoLKBmsOAZu80i4Ht5M+T5M8o+Aus7artJ0ZkreIZT2dcXqPUG7IoTMOndADZcsD3LL+LgE7d4tGXZSh/tMRL7xUw51p8bor2LNlwLOHQhLt09celcTWbDupBlfCbltuLVYzEs5SYnJRZDjz+qdssGkBeKVTAtFyBOAFiyc5izMMcMEQe5dfA0O6vQB4Jns0SXZR5cfCVkE6jsuO2Yh//t6Ibq/F3qNdm/0Xgh0bI9r9WY7MTe9601v/Ra3T+ue9xtgWC/ATp86xutp6TXuw4f1H5/bSSzawcDBdwkjN6Hp6QIXdtcsXw0mWjK1VCeAZ8+ZOyojOLoNhjTxJM3NqhBmLsWwW9I4U+fTYjL2tPClGlGW7GLsK66qUZIkFsSk916UeyPSe1mb4XshyR/Nbn26w1K8gfFv77WXHoPQZyyB/sVveGKBFDrRCg6cnNnZo1hx+4u0dvvlkk6XAI5QOfSnx8h7Kcu+kSe3XsgedOinoFNy6VNVZ9E062ZCedJ6kUhnQRd7vOjyeo8Toovi3ISbPypxTVpeQW4vl9sPidwiklCQpwGWiiKVGKQcVa0KZIAbWq7/2InsAbYmDROqEqcum3z9/9uADRnc/lzP4c8+9QKXiszR3lgsmJYGWdCLbyh+lgUiGc4XJZYhKga3kSHAl12NsswbQch1wZw26Uo7+rmJa7LA8ESmLlwCeBZVS4qSSxMkBbvIRZkPAdovZKbbgaJi9XRXheSEfu9tl75EqSBcpJX5WGitGVy5yCn/RakJGEj6ldjOd9lVGiUMcu1yxu8dbbmvzx1+poB2fvvTwpciTPkoKojyYH2FykUkVy+R5Q0JpFwdjQCtQxq4K2ggL7syCTYFeDFYS6YStrAs/k5blXtkU3Lrs0xdAHuqvzQEuc8APee6JyqVMpuXLUwn6gcfKqsBtrNCcfB4dh4VE2bqxRsX3aC37nJgRrPYNft/Qj9LJ/Kao7rUANGsAPTxmwOQ/J14UyMOAFjlrF5LEfiExxNwFwAtpMgxwWQA8T/RkADd2TnYqRVxVsHYB8rLmtuztOnZq1UpL84VvNVhs+VBJg2thSkv4+hIlaxAYVQ3r2nalfSV1krkpDhNNxZtf0ePzDw5Y6vqEyqGfyNSeFOn5KI55tnIOSRRT6lBOXxcjHgRO5qyo9LlMX0sL/qS0cibCoFRxjpISuwsJUpvi+YgeH9LpqWQppMr6YM8tyNR5yWRdrBVB4NDqeZyek9SCCpFTIY7st3ee33uIemNi55GDT/4jmSywcdqnfy6h4lqQxkkxdB6KZYYSU8l12bkIFvOAUpYAzTqgFqIIMAW59fhiAJdyWJbIVHurMrBVsRe9kzG3MiPyRA/dHaec1IlxlM1cHjsuOHiigsZHSOueZK1pauh4ZEVWpWkoooBbMTWAUqaxnLIvHBWtbbCJcbhkR8juTQOW9lcxiWdZPBF56ULm4hRec7nQKxXcmSeOTaRk/Zv5SiJLOlyVYptUkydK5B33WpuCiNJHkbF8drHl0qQA+9D7AoQ2JcyUtHvp4iisRXtAy3IuCBVB6LDUUhybO8trt+3+R3e8/GVPnz936LizYSrE8fobd2/tvvbA3mOcXRkjjOyX8R2rLQuAF6Mgygw1yszD75X0aFlfU36vPEmpeJ2PQhbk00+LOXqiAHs+Crjsg5fvWW1KGdwlkKf71bsqZe2UvZXKKuwilIr40sMNDi1WwSvkiVvy5svfM4s7vp0IHxpBnAecWUYzc1PSMtrQ4YLpkNff0uOxF2qgXeLEanE3SYP7ZJRwMuuw1F2TOit21noxtiN/LtPn6XkvWFyQKFDGoNPzkwzZtil5pbJl+JiI1AYsSxIKy1CWP285YC0AXqT6s7Ly1Fo19lj5rmbH5gF/8Y0ltp3Sr91+Lti4vJocd5q1Pn7D4czpHl97MmDfKcOGhq3IE6n+Kk8uKqrWhkE6nJYWawEv1wd+8TNlkJd0uBRD7K1kIVlyeZJLlFFwm6HHNcAuMbZTfq3SzKWy2rtaC3n4gOJz36rTH3hQc3CkwBXD0mQ0wKR0jNaiex39PWIZln3xKHYYazi89eUDvvJgj0cPeJi6Sz/xbe4hL3EotG3qmZTAXYA891lMFnymF5iybJ5Iq8czeaI1yFS+WPvQ5ASTrImZrIQpBnnaCy0ZYvosABVIXdSslHeaGBoTQnE8h7r30/jBdRIu3TngtbesUK30mF9J6PcjnP3HPMbHHZ54vs7x400mq0Vgsd7Mi+w2rDPFtwf8XwrUw3rcTm5aC2whCvZWSqRzwAtw5xWFjskrCx2nGKHspJsw5a9VMbswr4d2ElTqnHheSBQmfOWhGi+crIHrIqSyGdtsbkjZFXqRKsKyo5JLBES+a0XB3ll9isy1eGYXhqHDpdtjXveSLs8crxLEHol06WuFlzDyWdIgM8nAPgzyrIzWqPSzqOxi02hlM4nGgJFpACpBpdJFKnIWz21DnTKvFvm5zrV2ySgQ6faSGegzQJPpc10AegjkAKLcHVTa+DB1i1Y7VS7ZDBsucJicTohCg/OFr3wZ11WcP99m86RLrA1rxuaWrhpyTTnMTmsATQFYSoC3IBgetD4KcFkCc57YEdmA9tLQmzJrl/oistnXjioBOwW6nfFncqZ28sfiuZsGl46K8L2Q508IvvZgjV7fg7qLFGLIGsymvZarIssB5siRK45nNlWgNGd7TcKnVIAVRi6NZsjrXjLg8/cOeOaoD45HoCWDJHVUNKikpG/zz5HekzLYi89hMrCbVLpIy+bZZ5IyBbkEaUBn5kKaVEry1TZbrVMdrkekaWmVLlL12XORau+yFBY5vtaVeem3iYUgiBSDwOPc008gnL1gNM4zB84ipSAcJGhjxyaI4XMxzOLpsSmuqlHAD3vAOXilGALyGlsw/ZlCg4vcSsqeqzKjq3RJViUrS2btXMXUVGcI3KYAd3p3sym0aYG/o+K8J9F1I2KTcOcDVe57vgoV2ybnZfJEDAeXOY7E2vs6a2CJvUvLrS6akROTzTUpgB70XW6/vMfrX9pj74kKcexihKIvHNykqMS0erwAUbldbIjJDZCxuDEYVTC2NnZEhdH2+GspciclA3qS2YeGXGqUTYEhWVoCe7GXkkHoMuALiZVJ3QLgpoTH4YOaSRylNE132bKMAeeSrbbw6NyC4FgPKl6JZUzpV5oRFhejv3xUl4t1TnTB3NbwL8uUAtz5TgNZICkEUg0nebKkiqMyJlkL7mwAfs7cyuSAdkugLnR4nLJ5jFIRnhvx9HHJJ+5uALZiUghVZG6lGS5HGLmAM5bI6gkLYBXHc7gxuKTBjUAntnXP+r0qT98b4/DuV/b5+kMDHj/igXKJtKKXiLTgK/0sScqAiSkuvhL3Wc1thj5HxuTKFGxui5+klSiZV68sYGUajFqvOwV1Kleyfy9Lz5zNMylSwkl5tc9rMLNYonQ8i7HNI3PkgUbVMLfks9pz7fkfBBXCUOCpmG2z5U05S184/Q1rZErO3MN7upQBXbC4GH4/W5rKTF5mbDEcXJaj9Rzk5a1KVBnkJpcnSpXAXWbt/DFL7BQaXKkY142JdMw9j1Z57nDVjqSQNrj0hKGYHMuaFWg9DT4qT0zpSV46W64RKVcXJhKtsv3hHYLQ5fLdA26/ybJ4P7EsHgiPQboHUp6LSDImzHze4iIzozJFDSegVHr+lQSj7FRgqa0s1CZlbj1cf5O/1iWwD9nI2Tk2Q/igDPASgY5K5TKDFxdlsSHt8qrA8RSNig2WnUsviHGUoNPVnDrr0O4ZoihJ/wMz1BGy7k2QLy1QsPPQlSiKK1lQel4KPDN9XViDIj9weTJJlh9L2dRMc6fblmRAd1QRUDoj4C4abHVhB2byRNmqwUPnBB/5SoMgcm27t7RtaVlrmhLD9tawJClrlvXO0DDQC2AV89ILR2VYi0eRQ82XfP/retx5X50DZ+zFl2hFL1E206wtuCUChEEkqTRJSitJLk/M8IpCwd4yZW1lTL6iGiMQqZySUiByBs/AnWrtXJKUzISUlctkINOLLp/Qlf1MinCx9tCV5lpmG+tCGAlWO5pOaMjWJeeOO9674cln9//sPU88hCvs+ATjSGTa6ZEHQPmlPoLv9GQWmry0XyVl5hZrgskc1GveG6k/yUAtSuAe2mgqA3la4ikNKtPepWH4OdBHdXdWb5LfI0IT85m76zx9qJo2dbgoYTOXTl6DvX5ZQs48LxIYDYE8B3dhFRqTTd/VFtxDIJck2iEcuFx7UZ+3v7LLb/y5R187oB0iIXOpkvvISfa5Up1LYR8WF5kpVhJVFGBJA7IEdmlMrsmNtEDP2FoK7GtRAF6IUbCnmCj/+xpzYhRTo+xdtliz8gbb4TM1DlurAZt33PazE9OX/aizsLBvXLL0PZ6ISBIP6dnexXwDT11imxcFeAFcKC81w7JkWKqIEpMP7wuTp7xHEgl5d8964M634ii0t8oZXOcypQzqAtwJKk/uRLhOxMGzko9+s4adv+KCTLW3oHBPRPmzMbJyDcu1/EVJM+ZMRLmqb6R01tgRbEk631EnikSlWjxxeM8dPT57T419p12QIUZIAuHSS4o0ukj1eAbxkpNc9LSnUjQDtpFlLT4sWYwgDSot2WhZAnma2h+yhEtgXpMQK6/yQxrcDOFr9KbThojy1ihgcJTDaivEnF/9nuX+4XHniRc0S0uaIBRMTzg4yvbpxbGt9rI+aLof4voKZY2DkkmV/ATLolPeai4xbBeJYSbMDkKRQDHD2ntoJ7Viu8Ac2JmDomwnuKsK/1tlEkVqlJPNE7fMnT0mKuaLD9TZd6jQ3kLINKFSsHfOTuswUPn1KAmNHsrRDVaNHrYME223X9QZyNMUfhg5XHphwJte2uXIR33CxGbnEqEYCImb2BoVQRa0Fct+5ikPsXf2YfLPmbG4SFm8pLEzyZLJGJH+nLBeeHY+9dDqTOqYlJwU1h67obhuLYGnAC8YPEl3a7OPgkZVccHGhImJAGd6zMPDx2xzadYFg1DQ7gFISLRlFshm+7wIgxfWYvmKLLP1t0v4DKfpy7q7tD2gIgdWDvJ0Rl9hEZY0uKMLRnfKNuCw7nbTXSmUtED33Iij5xT/9TNNBtKCGzESXA5VT47q71GbdX0KKkuTbOpq3k5GocULDZ7OTVESlWrxOHHxk5gff1uXT99T48hZB2QMIiYSLn0hUk88/Zwl9s4AX4YzRpRWaytPjLHnPmNvKYrXOnNLjJWaJk3j24RNYRoUTF6c90QUsmVY0pYUQYk8h45d9nEptiUMQkOnFxNEthFkeqOLkT7Onp0Rg96A7eOrKMfh8MkqK+0KxqSSQw4F3muoe/hDiTXLDi8CajEC6LXgHtHhosTa5SBTjcoUnerw4c2olEpyoKtMooywuOtEtEPNH3y+yZnzPigrT4SUQ00d2UqTPx9l7VyilLeeWv82XDZbbjwQlPe2Ga5TKQLOOHbYOhPwI2/p8Esf8WhFdtSxMYpAK6vFkzThVkqmFFdhweQ2NCvcCZVKFmVKj7K4OEWa3TSZLNHFuTTCmhQiTc3rETtQCJGye3qsNEN4Kau6Mpnm7lPp+Alhz/9qL+Lw2ZggTKjPhmwNQpwTix1WV1scP75CzXc4fiKh13NoNmTpyir+ihi5pNYEl7nmFOue+BcDeLlgfz1gy/RL5CDPiu7LujtzUVKQO04xIN8Cv5jY5KSgVtLeHRXh+BGfutPn9z/ZJNCulSdCIYXEy7T3fyctX1zcpTdfjMXL5EkR0K/t+CnqUpQuJIoFuUPFifmxd3Y5eMLjw1+0WhwUCYKBkPZYJdnnKpI82f9nG7lS8r6zC0/JMsjJZUguW0QhWbSwcqVsA0qdypSSLViWpQVmhpM6Q/KupPPW41kpYMOkYKwZ4TU6JITs3NFiZsrH+fIjdc6cG+OhR2fZOuWzfRo2T2mEkUg1OldPlMl7rf5ej8lGdOmLFWAN9WJm8iQHegFs66RoO3+z1EplAa4LN0Vl4B7NVKZyRBYyxfreEcsr8Olv1lgJMnCnwaWgyFyWi/qHvs+LR/3l1+WEStkeJHWq8u53PdIAsSaFr1CJQkuHOHEY8xLe9qoen32gxlJHgYzASCKdShWRWW+ljGFRzUGW1cz4vMzkUtrXefJHFiMvjLQDeLJjoVMZo3OtbXIrscCD/ftal47bEFbEWnyVjmMZjkLYUuE4EezYUOWlVxomGyGzWyL8aoRzzQ6PbXWPscCjUXPstCdXpjUGI780fz4cAHw7QI++V46i1+3XLOvuoRap7PVwA2y+u9pQoJlNZbIBpRryupN8gmoRWEa41Zg7767w6HNVdKa9pWXvvDVvZBDRaEPHi17cL07ihUzJU/VmyC60HeY6BXxRgFUGepw4ODrm5itC3nhjjz/5kgcqBDvLgFA49HO5lOUsUiYXwyDPrkKVa6ciRtBphaHMAC3T5yYrvjIFk6ffP5MuIludpRjBSPp58gKrohBrLZGKYUZPn2sNSRcGocvp+TEcWWHPJRsYn5jCuXK3oTUFY0KSGIcwstvXRQm5RVj+ZaOPawDNtznZ66a1C7Yurvi1AM8ZvNT8qkYYfGjUWIm1s+cqr/GO87HAStrB70dOST7ypQZzHc/udy0dEFbDZjs2KDHK2qULN5Mmo1j+dsDO5MGoi1JuRs59cVHauMoOyUxkgkokWtrtTzbUE37gjV0eeM7nyLwELwKt0EIyQOa19eWmZEHpHJcKv4qkjykqCw0YYSyTZ+5aqsNFqs21KIhMCoMwAp137tgmibUGRPEe+bi3ctlxaSj0CAaz8RtxogkjTRwbuv2EnoSZGYFzxe4Fgv4COyfP0umPMbdY5/hchZW23TwosweHotpvA2qwX7bQ38MuQxnIhc32lwH48NiCgsX1CHMXAM/uxfaCpecyRio7RDNINL/7sSb3PVm1vW2pcyKkzOe8lL14WfrMo+zNyOsykMQQuFmbzWRYiw+NkzDlMtpsM11FYjRSp3UqscPt14X86Lvb/NzvegSxtI2oWpIIl4FOC9bIiNv65BnCtSyU+dDqIlNQp40QxmQ2odXkRoDIZYoFrNbF8wzw2qyHmVSrQzrSrVzPXi68yi6ADGciZW+br2l1Yk6c15xdgfOtgE4tYks/xrnzUcXCkuTpvRAnAb4QbJ30UMIOtc8lBcOPo0CX+QkeLtP87zF4AfTyoCCzzuP67C3L7J0ztwV+LlVkNjE1swOzwe4xrh9x92Mun72vRhC4ULXgLrP3aM33t8vArfVu1286Ltf2GOx2e8NBpsi3tDEl9s6AnmiJTIPOJLF758SxQ7UW87bb+9x1X4+vP6ZSqWI/WIxDX4jcKBC6ABLYOZEphMiS3VnDi5FW8GTsrVP7MD9HxroixdiItKQ2kyqmBPZ18KHTz0MpOcVI2916BJsd46lxw5V7lhBeRLsbcuGFK4yPezinTo9x+lzI409P4joOM2OCijBMNGwSJQMdvJjWXB/Q2ZWWB48M/zcFyIe7OMrALoY7ZqBeT6bogslTKSKlKcmTBJmzdsHeWWC52oE7H6hx4FzFpuRT7Z2ztyxvCVjS4EMZuXXsUQrN+O1uWfsVppRFHGJzm+hRZh0W19loa+uoSO0QBQ4Xb4x44209Ht3n0woLFrd6XOXOg8jpME3bp1Fl/rfTwFPJIhdisiSPEDnwtSmOjc7KotP3tBhmciHsxbxe/U6GoUzmIF7Egs1+Ns2Yeq5ksumza+M4M5MhURQxuaFJpVbHuWirx5jn01nwMUbhOqSjaW3L/RDbSoZZ90V099C/sx6oGerDG2Xz8jCZYjdj25s3zNoliVKWJbKkuUeZW8YomeA6EZqE//alKr//mYbdHkUp7JRcB4Wds5hp7+Gm4vVclLI2LLH2i7B3+XG4yCnzu03JAy/kip2hItDCBp9aS9sorFW6PYmDUgk/9tYeh8+6/P5nHaJYpiOu7U53oZBIPVrCa9I8T8HeWU4+rcnKt1fKmFqln0sKC/RMqpj0otel8yplWVeXu3TEEAbKjRAI6ywNyVtZXDBSC0w67z+MJcfPNji7YOj2Ira06zTHqjibpmNqbsJgVbLS8Qhi0u70NDWuSrUhIwFhAeCCfUcBPfR6KK09CnBT+gKjc+8YArosAVuWdLdl71FwxzaYzHzvrN7EjTk8J/nsPXW6nbRaUKTsPeKc5OAulYXmmrr0fOj9TAa8GHOXle6IZVhm73wnaF2SKVqkoJZDdytbHMIooVEPeOsrenzl/iqHz6XpVy0AiRYOAZLhHX0ERlrrLwO8HWFc2IMy098pmC3+C/87O0Za2N+ZyxMhcjm0xlZN9bXO3zNrCDM7rtpeb3k3kUkPdpJo+gNJEEIYGeYWIwZOxEwU41SqEVEU0GwM0KLCILA5/WwZVoq1QVUmKdJlYkh6DLH+6M+kk41KDF+enSFzZh8eHpPr7yEtXgK4sI9lcGd7ambbbtikTpImdWxK965H6nzzqQpUshnnDgiJFNmE3DJjrx9Ujvq4GcLFtwH3qEQpB5rle75n6lDFYTaop9ycrFBapyyeWG88SHjV1SGvurnHqS87BFpCtj2MFjYJlPs+WVAgSjUZpcpCDSp7LQs2z+5CpEGxEEWprChr8MIZ0SWs5HEbBSuPlnuMqoXMZ8/kUfbRk8RudDYIE9qBJnElVBTOC2cuWu0si6+EwfG/NdkIWYi91NLJ2NvkI9jKAYQY+fD5iceU6gpGdVYJ4JJ1WbysyS0j6BKLa4a9cL2OREk3SMpswLL+ToEuvZh7H/f45T8aI9GutQVF5p7IfBxbPu9EFhJlje9dYvLsYSio/EuhnJEKQ5s8GUr6yDJzp5szaTuw0mRSJfXFpdZEsYPnJfzUD3Y4cNrl3scU2ktPXvqpYxT9IX+nkCtWoaRyJWVuJQtPfKg4LmNzkcqTPOAs2YbrrOpZ+p4Rxi/LFF16LwN7pvtVLt+sv54khuW2ZsOkz6uvq3/l5us2raorrxrvrrbnjgyi+Ee73Yg48dJJrMW4hayhoOh/HG64VaUAsKjTLr8/Wre99t+Ga0vKz0tZy7xCsEjJ5953GdxyrUVoAR/hODGnlwW//JExHniqnvZZeqBsS5pMh4pmG0q5WfOELLZJyUtls8E4+fcoekmHpm1Jmb8uT8ct6tsp1byL0splT65S5ZikJBVL80NE/pocHMLA9FSM72gefdZltS9HlhmJFnY/TVnOUpeu1nK+swgbSr742oVnWIINdd6M/DdryhLW+xlRyg+s/ffs/6UA35PU6zGbNsQsLp35gYcff/6A8+Q+F4PVULMNyc5N6SSovDKPoYM91H4ky8GkWfcqzebIjTonozp8iM0lyHxrvFE9rkdkik51eOmuhgPKTJooFZN4CR/5/Bifu7uGqcgSc9v9hVxBqamhxNzZ9x/V2+vJlVHiHpEr2cll5NHq7XIXVXoKtdXHupQAMmWpkpXSJhawWtiAM5EK2Ve87RUDXjja5YMfcgn92H7YdCdqEMRSMjCpyCWrEk+BKQwq/QImPccmlRRGlByUkYrQQqqakTT9yHFaR94OOVLSDDkpmcaXaYLHyEKq+L7ggo0uF+3Q1Ku2jc1560schBDEMQwCkzbyFqw56hpkoB7usyuDehS8UG4cHQZzGfjFeK7hCUjZYMeyHi9tiiSKLe7KezoOAVvGKBkhnZhvPubzR1+qM0hK0iTdQEuK4UmxQ8mdLIguLct5OrmM4heVJOJF38+BXJIq5QKsbDBQPjRf2joOoyVamnR7QEMirTeuZRZ4OiTC7hD3g2/o8tAzPl9/yu5DWrpUMTiEJt2OWxdyxaQnzaQZRIVIHc1yzsJKGW1sIVomK4oAk8KWzPS2LOGB9WpRStjQpWOdAjvHDLbZIpaGWAviJGa1DQdP1XBdF2MMzqnVHomWNCoh26djlKgwCORaN2SN4DcvwsbF1cjIvw8z/ei/DQeX+c8NsXaxJ0yx61dSYvNCb0tZ8sBljOMkdAPJL/7hGEfP+BhX5a5Jxt7FloWsTe4w+tnXj/RH2f2/B/JiSRc5qNYs3WnZajm4NEamVqJAi5KrkoE7ZXEtFEmouGBzzP/391Z56F+5dAYSRFwI3NSpiRKBUOmKka00Io0FhElBnNagCJMHmxmgTQZCbAo/63DK67+z16Z8nMqB5XDQnl8kZeIcAbzQWdmBIYgMRoRcOj1gZlIRReB0+ltIjELHbQb180w2beiel4CvYeZC4xWW4foMbrVR4WnKnMlHLxrDWiYvuRc5mIvxuUqk+zbKMoOXwF1icMeJibThv3yyyVP7fYyUFNseOjl7Z85JPut8NKD87wEaClciw/IQyocL64daANfTmEOPJdtwzag3m/gxWQAqMqArtNBoqTBac+0lET/xjg6//jFJmKRfUGcnx+Yyw0TaZT/3xotHI2zaXmo7Is5QSvCQMjpp8GjKAC0FjKVFIgNxsbqX4oec+UXhwo3+XAmfBmsRNuuCi3fMsmtbk0EQ47z7ba/B8xucOfk0Zw7diWQM19FrCGdIU70Ig48ydfnD5Gy+joyxJQHlC6LQ4WVpYn9+dL/GYWmSgdvJa70TVDXh64/4fPiTdVp9z27xINN7ag1a9i4VVZViinULrEoHuyy/EMVU2fy4rUPZQ7Xgo1ahFbyl1L2tMszcjGwYpp0Km/1Mmt2U2Y7GkkRIhFCIxEFgaFYifvidXZ7Y63HXwxKqYvgTpsCOdNa+lnrj2P2AjLTsbt0Rm+gpgmLQyUgRXXZ9i2yi8HB8VsiUdYijhJ2iGvHbbCwg0rhED7hwz5XceP3VtNtdHCE8XMej1/c5Pe8zPSHw3MR6m4i8XHI9IMsXAXrxwYeHJ4o1DL4e4FMGX2detBgFtyh24B1lbrvldIx0Y/Yfc/ivH29weMkd3rTWThNCimzn5HLcwbA8WcPmghF4WHAPHfN1dPeLavQC+IVDIIZBnsoTOTSJNpUnWSe+0XmbmyzLFalJYs3uyZh/8O4Ox+ccDp0WGFeQtapZrQEGh9gIBth6dC9jcFJgCwtsna10pjTjvRSv5VlIikROmSzFCOgZAffaoHWY3fNgPQ1iXUewccpnrFHDcWp4nsbZOOniV112bnKJdhhmxgcY0i28k9RvZfgPlFm2PLd5rYwxQxInB3f2ZUq+uJUwunQRledEZ0BPAZ0+V0KnGtuC3QacVndLGeP6MXMtwS9+qMln765jHCdNx6tCe5Ntf7h2p4ZRD3+UXYqkznBBlVgjTdaCeA2g8+BSpHUpJWmyRpsXpbQyS9+LVIunO5ZpYVlciqxRWdl96R3N217epzWQvP/XJplfkVApC+n0wtKKSKTjlLWwwawGR9jniiz5Qw70oppwLVvntS9r2Ls4dmuAnP23ZQdrBOBZR32U2DejE4LjZ1w2bHZpt12cRg3Gxr25EzL+Gj6vrVTO0ahWWe3U6A3cgktGMo3ZnTLQRwGc1RTkjwyDHsNooGm/aCFJiq2dy8/LAabOmTtncGF1d4jhiw/W+MZjtbTWZNg1AVFo77Qdbbjm+8WDShgBeg7sgoleVKeU3ZIy4suae41HbEoa3KTWYcbqVpbI9LkwutDiQiGERguJEA5JrFGO5jU3DnjTS3v86ZclYYwtPNKlzyttBUqiJQNp99HUafGUkyZydNZhhcjtQsFIEFhezcssPfJ8jT1YBrhe62KloQGJhm4oWOyB7/e48tIqrht+LUoqc2HcxZnacDH/+Bf+4rjnVX7r5Mmdr1XhHD/0+pCpehWt5RDgiiq+1M0AKMmIIabOrtT8tSmd+OK9UcYfkivpvueFVNFk+7RkwJYjwaVM/e4YzefvqfLBP2xyetEFTzEkTYTMtXe5qEpSqjtZh4HWasQRTcn/4G2dgqs1zF4GOQyn6tOxDWXJIoW0YDQGbWz7odYKhEEIRRxotk3FvP+HWrR6ks/dV7cMqETxAUrb+mgtCQWpW2ODRgcrXyQp0LGgHuoDQOSgL8u3YQ1uhph9jURJf68S9ppTMu0DFcV5ihLB5k193vvKOd708ivYtWPht8LwL47vuvIf2D16pmtQrWjmjM/T+2e5a1Jy02UuFU/gOhrplLKGGchV6mhkH1KOMHip+4KRL5S/x6huN+QbhpYliijckwzcuUTJgV0KML2EUwuKD3+6zoEjPtTLrkkhTQrtbYbGQIyWIAxF+gwDe4io14l+MqYZ0iUlcK9Xh5KV0BbgNkNOCpi8HrtI+kCSjlTT2ga6FpASYRTamPRRkxiDCA2X7I74wbd3eOx5l+PnS589q/FI67MRCiMlEekEKSFSUrArXpKkc1CygitTajBmRL6NHKK8Nh2zLoHYGCi1HdPvmo0MkRI8R7CrIbjh8grX7Zyi3x3jxFkfndi/4gC8+ZWX4Hk1rto5YELup9Wqc25Bsmk6thV6aRWf6xT11koWDsdaKVIsR6M3IYq1Of/ia3R8KdjMgsvsfaWRIklXlTJzZ+ydsNyW/MafNbnn6QpUR4PKImupRKlbZ53Acqi+RpSZZ3gkRjlTuR6bD53UURdlXdyPTCwpZzjLFYZDgafMa8qz19ZN0TYgRKbHUiExJEIjeppXXBvwj9/X4Rf+ULLSy79BAfLspgEhSUQqT4TV43bnPdvDqfL/NB1TkWcwiwKuXKqMEF92hHJ7EIYIRhm7q4RR9mezBnTfgw2TivGKzwN7HS66bA+3br+GXq9fAPzCnZuYmNp01/33f/WXhay/f7xpO7eEIAd2vvOYo0suRqHDhzcfTU/hegBf73SWl6t1wa4LeSKTIvEjyswdI2XCQBp+9zMNPvSJBp0k3TuwrLtTcBfauxwgvUi5wZA+HH0+PPRo7Yl70S8+erRS0Oo1nrj9gRcbK5HZiJatZa7VKerGpUEYg9DaFiUZidAKnWgabsKPvrPL/JLkN/90jL4ufVBZfLI0QY+dliKIsC2NcZr8UUaUJJ4pxtgZGPWWyt95zWEpBZOSLCdh63fy/aKwK4Tr2OMRx4allmHjhgo6XPzlLdsuvuvkqfMFwCenN/Ph3/9Ar+bIY3t21kmiPs2apuIleK69+15cbM5U8qCLoNKs+bBFECWGX6/5TsNui73iS0yeB5mFNSgzeSKSHOi4hhcO+vzFXTXasUrBna5lJXCDPRmZa/Jie3yWLcKhwGhUb5eWq3IB6l8G1FBK0Zt12Dv9d03qmAzZhiZla5OPNrYVemnQaaGQ6vKiK18IQ2KURUtkaPgJ731Nj6897PP0gTQRY8SQDidve0iRb6SVQMKCPGNZK1GKrp71MFGOL9bDRRao2ovFevDZXMhE2e8KtqTDU7bJ+NyCIUwqLHdWj/3CB36p969/5qcLgAPc8eo34nkV9j77EGeOP85kExq1kFolouJHeE4Z4EkOOlKJkn8TM3yFZmngosZiDc8PXyA5e+thuTIE8iS/wOzzGOlqnj3i8xO/NM5zh3yMm9Y+jzA3aXTvphpyuOa7FDSOfK7hUs5haVJ2Cv6Hw0yz/uuh2Snl90klCGaYwXNdXirG0hbsMg04hTForfJYxwiJNgoRGq66KOK3f2qVH/3FCZ47LCwyJCMgTz/Y/7+99w6X6yrv/T9r7T7tdPUuWbIkN2QJdxubDiY4AdMuv4QLCZeQ8ITAD24IKSQ3JHDzXNJJ4Ee7gYcSm4DpjjG4ALZxwQ0XWd1Wl06fttv6/bF2nTNHkgsYcu96tDVz9uzZs2ft73rnfb9vS+cVnXWghJbmEWSBVfOV+itRoqTfr0yc5jOoJ9hIVCFbgBsL3EjpopupfUJM1w/YfMZZPO95F9Nud5gD8EZjAMv2GB0yoNlmcABsy8exdPaLZSZ1RJKiOULGCbDLklslaRY5qMsu5vyY/iNXUVTO0GROnlxyi0yChxiWYjaW/MtXK9z3sE1k9Epso3BT9GSVWBOKOncxWrKHFiyBuUwLlsRPwQl0qvgusSclZkX0eDX1h5SpQ1Wa46Ienkp5UZDiIpHiInkeIzEixTmnd3nbK5v8YfdJsQAAPBFJREFUwd9azEbpF0gId6HQaTmaAdcXmLYJl9m3VSk3DgWh12f1ZtZ0nP+dvJYDXk90iCQUkq6UtCKJYwgqscCLdLPiZldhy5AQl7GRYWaa7Wx+M4B3AxslvZ3twNvlK7HGto8yNqgDmWwzxHODTN9NAVe+ei0xwjAvNRbHaT90mWwim4Ds2xe+S3Lrcqu6IMXL6knBsDQVrUjw6euqXPu9Cl0jMSbpJ8ELXkvRP6BKFozHkqTug9heiV+2JJ+MJBeZcyc7Q8akpE6evPprVkulBOqiMyiPVxFKIGKJFDopAqEyA1TEEiENnUcZK5wo4tXPb/PIPpNPf7VKMxBgJSfN9PHCBYrUHCzErIqCuO+NR0gXhYoLwE4K8MQJyEOV1yrpmWwlDEJhEkqTlm1gmQJHKEbqPmeu9Fi6sLJrsOHtlCKaC/DFi5fw2Wu+fINtWZ//7h3DfyTjI7zrtTOsGAs5Pg3fu9cgRuUIKC7P5NqWj0VsOS1EKYHtCKJQEoZGBvAo1gaKilMpT66ylNiXlJkpMigpJ54usghpKGZ9yae/WeEvP9Hg6KSZ8N2yECWYc96QA3zeMhAUpHSqnhT29SYZl8GeU2NlfJ8Y7L1119V8jz20oCTlxcnc972u/BzsUhuaSaUsEQuUSCW8luSgWDgc8f63zICCz3yjymxgJKpK1KOPp5I7uShd8yEBb/KVSwCP80cV5SAPIwhjTDtCoNiyscuysajo2tX/RDqvkhiDHz1U4ci0zZIFAW99RZMLzl7HqlV8fv++b92w7vTXzAU4wPhMFc9zv91uDr9CqqVnB0Gbux8N+Oi1Da7/SY0YM7lwVV6FycWvXhxy3qYuA5WIS7Z2ueQ5PvVqSNg1iCLtSVOJcaKUzH5+izgQRZAnUlsHY+UAT8EtHPja9zz+6hN1Dk+ausaDKG5G6W8h8mjBLKAqWWolPXwO0HMA96J6zv4+wJ8f2fOAWhWi+Qp6eG6EUqINKYTU5mlu6PgR1W9LgZ2wKwlPjoLIVywa1CAfn5Z8/tsVcJKL05ZuAuiCmiFisgzgdHH3WtAlcEfaBelH1N2Ai8/rcMnWDgOVmPM3B6xaHCfQStUzkWkAQujvfsO90/zjtQ0mJgZYVF3IkDN034rFlW93O53SFBvFP75z3ed406+ue/z0FfG2y86afs5gfYoPfqHBl29aTJc6garQDj3agUsncOgENp3Q1o+BzcHjNnf91OOOh11ue8Bm1wGDWiVm6WiAZcXZr1rGllCQlKW4kzgDd3Gf/lurTdKBnftNPvTpOvc+4uocM1kMgU1ivWWunpgSHJHUOhHFNLSebg0yTyVLOfK0L2dvR1/9vPgo8r+FQEpZ2Je3H89Tz/LzidK589dFv+fFuKBSDqzK98ni/OaPFAzqMiuUoDJWNAZiPE9x+/02E5NSUyRzRXO++lIQiyK/mQq/VGKHEIcQhthGwEVnNXnn66b5natnedn5AeefEbFgQGAZJrZhYhsWpmFjSQdDOkjhIYWLKW3OXKOouiHfumOAPQdGOD5V+dZ3bj74T6+46rdKAC9JcIDNm+pIKdm9bwd/8YUaN903yoJRCydhlTqRoBkadGKLKE71wVSS69UZxCE7Dtrs+6rDjbd7XLKlxR+/aYZlowFxqEBKlDISvbEgxTPdO6cJtWczVVMi7VwyYdcBkz/5aIOb7nY1aoXsv5EzJ0bC6xv0BFQVJTV5ckNxf+lXpqiBFN9flt2IE4rvgoArwSUtXawyiZ4FNmT7e4sDKeYamPNL7lyC67gVlTAhceIsEipGdRWXb+ny52+f5o8/2mD3QQvMVLeVhSuTCagLEryE/7JqIqKI5Qu6/NGbp7n0nA6rFyoMTLpdi07LyALD8lAE3bYljHQj3CA0iZXAMiMu3tTmva8b56YHa4jGRoxUPToRwOXAy7Et0//i59rcds9ultdMqrb2WnYDwUxHYAlBMxT4UhIpiJWRZTdHKdANHz802H5Asv+gybbTQ95y1SwyDlHK1EXT01RXUZYKc3jwRKILocG996jJn/5Lg2u/W8HHyIrapI6IXtUk1b0T07NH7+4N3S1vZcj2ALsgBecc9yRszJKrvt9+CjW8ydmoLOqw5xzFbPy0mE+cuPHTLQN9LHXWTqx07LdSKGUQR+CaMVe/oE0Uwx//U4N9R4ogL1IkBQOzR7jnTEkMKsSIIl5yfovXv6RJRRj4vtYEwtAkis2kTYvIVK+0TF0QWDQ7Ds22QzcwkELh2jUuPaPFCy4cYWTN5T4q5H+9/yQAj+Qi6iPV91501oaN/vjRy7rdNo6lPX8zbUV8XNEKBJ4BjsoJHYXuEh3Ekk4sCWJDR/AJaAaKf/j3Glde3GHJcIgKozT0uMB6qvwnMjMycwOTRAPZd9TkD/6+wb9/t4IvEh2CHp07MUZS6U0ivXPOO5fUeWbiPJRgcX96qfOAd85xTwLhJZDOAatK8dzDrvRQhRk9O7f8Ww7oNFk4iVtJQU+Pbo4ijhQWite9qI1pCN7393X2HTUTxVbmnHgG8pRbFD1fIpHgkWLhWMg7XtXERdLpOASBgx/aBKFugxhHOry3pBAp7X1tdywOHK0w00oysMyYSmWMDSNbbl40suq9MD5naucAfOPqGt+5/oaZpQu87UsXuBd32qFR9UwqLoRxxLH7A6bHoWLnhSlTUCggihWdSDAbCVrYxCqCOGDvExZf+K7Lu183U/JW9ootDagYQU4Rpng9OG7y/n9s8O/f9fCLVYgyuqqgqjBXeqfGpeAEqWiUqcG+gKfImBRv6ZNFdl+s98nwKasyvZ7AopTPHT9lQJeNNVVWa+I0KEsV/k549CjCRPHqF7QJY/jvf9fg0EQ63TJRQVLDMv3+xbjbRIKjEJHidS9ss2ppRByahJGFH9p0fQc/0IX8o1hfU2pTpLm4Va/L44cM7t1eJQgFFVfg2pLhIS9a7je23/3jm2a2nnf5yQGejna79fYFowPbgo5/zuhAzJIxn3p1kof2+9yxfYSaY+CYCtvIs6lBxw27kcIOtP7Ujk0UBhJBo5JLoly+JJOQ0YQ5PZilgBmC0BB84usVrr3exU8twMyKKqsjRXCnsQ3FfjpZVa5Uz6YsnPupIkVq5UkwgM/YKINaFYDfW2qiGJiVvkdkIQDp39Cjm2eeUalzKJNFECOQscIi5uoXt9m+2+TDn6wRmnHirkznPNXHizPZ44sXgpmm9noqJGFk0g1s2l2Hjm8RhgZRQiGndShNI8K2AhqVDodmfW64t8qgo1g8AiMDFvWB6gOzs82312rVvvMm++18yYtfiGvH0abTV6jNa7tsOX2c01cdAuM4R2cFjilxTUXFUlRsRdWBWrLVXcWAqxhwFHVLIZHIOOaCczq89oo2KtSTmCGj4LkUGR0YZ6ASSfbvDT9y+NL1Ht2USsiAXNS3Rc9zfZQhdIhQKa5EnGjrCd3sBX5fHT2X4WLO3lNcDEUPZiaJy46+HNSiB8BFQPdI8fm2wjIvHU+iJhQddAqcSPHaF7V5/kUd3XczLqogRV07l9q58BIoQ/DFGyvcdp+NlDFKSbq+TbPtMNtymGk5zLZtmm2bVsem3dVty/3AoutbDNcDQqPJgwcC7tkZ8dj+kOGxperYRCfqJ73hBBL84ou2EYWtL+195Ob1h48fq/7wUcHXbx/gvl1DLGxA3Y7xbIVt5lRbmvEUR+BaiulAILs+l507zQffNknVEUSRmQA8vecJRyCUVkvSCREgDC29v/EDl/f+XZ2Hd1u6j3bJh15QTzI1paBIpMalOAG4C5K8F4yicJ1zHTiJqtJHsveqOum+HID0kbJlb+Yc/CuR4zxjoNJVkeohYi4vXlwk2WIoxLEUVRehtBGasCqGSJiyWN+fM9YGfOT3Z3iPAd+61dWANkTOoqSeTFW0wFO9UDLTlrz/n4eQb5vikrMCjk2YTM54tDpmIr1TWlZhmgaBFRHFgqOTNc5YAX/yX45z3e0ttu9zqI6s5fyLnodj2/PO2bwAbwwuV1+87vN/PzX9nLd/6tpmdXzGZWbaZklNUXc0uB1TJ3paJhiG5pnTnDw/FAwN+fzKhZP8xktnOWOVQeCbOZhTFSSXWZm+nYHbFHztFpc//IcaD++xdLRNCdSyB6lFNSWZLHKjMpVXJRqQMgB7kxrmqCjFhfAk1JMnw6qUQV0wFntUj9wIpQDoQunjTLqKspqi8nCJ3DDNDU+FfswZG6mXSQzKV2xaFfDhd8wggW/c4ua3Q0EWnVVUVdJ7JnVxoXt3ubzn4xXe+KKQlcNVQr9CEOZllNOGvpYZY1uSIJSEkcT3LZ6zts3qhSGHJ1sMLlk1Ndio/qNpefOKhXkBDrBy+XlMTE4z7O7A6M6ydLFO+LVMgW0K7AzgAtNIHk2JZUpcW7JyseLCsy0WjzaYmQmy3jhSRtoQF3FJ56agc2MIvnaLwx/+Q42f7rQ1uCmIxJIE79lS9UT0uNlhjlQtAju1AzIg95PKlD5ibujsMzBSQPdEXRWYlfxRld+UG5MUDc4kNqYYElKgDrXgF4mPJqcWVSYOVPIYa908UJyxJuAv3zGDAr55q6NBLZOFlREI6aykXizdd1TZJtv3Cz55XcQlGy2WL5A4doonsEyVbBLbUnQDg65v0GxbHJ/2sIwY16xx2qqzplxx4AteZf28c3lCgG/ZuLB734Mzbzt385JrHn30saoQOnRAg5kE2BLbFFhJdzbHkniOoFFTjA2ZtDs1JqYFVa+NsrrZ3RAyzvq7yEx6a51bScG3f+jwvn+o89AuC+wUbbIPqMsSu/x6CuwejrsAalFeE3ONzB6g92NLxHxvfHoIL3oGeneUeW9VkPCFA1IHUaaypL9hKt1feK/KXfuZxE//LvzeCTRnjg9nrtGSPI7h2z9yEywnH1zI4tE3ISlyKi08UzLqKOoWHBuPMURAvWriORLHEtiWwLbANmMsS2EZEtuSGIYiigRRFLNy1crmdMt5m6ys6HKCcUKAHz42Fa9cterO/3K1mL7+m7uq928P6XQlnqsltikTiZ0A27YEngMVV9GoRji21p+C0CAMDUxD5wRKlfKlBSMkAXcsBdff5vCev010brPHcOzRsU/omSkAeY5a0rM0SupiPyuxuIbmwXEKgacD7DmezaKeLoo0YoGloPi+spqSPy/q8Am3ns6jojSnKiVBe/VocgpPKSBQbF4T8NfvnEEpuOF2lygNoU0/VBbeLyRSClxD4SbNev1QMd0MiZUiCAxcx0gALnAsiRno6r6WKag6iqYf8tAeky0XXzq9dMnyO6dnjs91XxaGPNGLy5ctYMHowDGl/FdXRzYHx6ZCGjWTgZpFzTOpJFvVM6hVBPUK1KsxjWpEzYtwbZ3TmRYRUr1yMGUsEpoxloLv3enwro80tM5tiUKNgPJE9/GN98K1UFOwDM7y+9Scd2fXxtztRPhVucx8KtjudWTOc5DInheZFMgNRzKpW1ZJsmOK37zIsxeox0wF6qlom7njlO4GESc6+d+8a4bnbetipFVCUxal4IHV/+vMe6UEYQQdH5ptxWwrYrYVMtMKmW1FtNqKZhuabcFMSzAxLZmclTS8Li+54rSgG3RfbdgDx9zqghNO2QkBLoTFQ4/uodpYvX/Vys27zjxthNOWCRaPGniugW0beI6g6kHNU9SrMfVKTL0SUvUCPCfENkPMpG63yHTuNNVNO3SQEBuCG+5weMdfN9i+1ypHBhaldl+9u3TRZcD2qCSl/aLPGeZdCP33970KIZ6UUan6oHvOrgJOMkGROXjECc+ZJZpkL4rsAzJ9v/BI4bjya0XGJTlHrHXy9SsD/vE9Uzz/vA5GsbkQSdRp8mExilCBH0M3ErQDQaurNMjbMc1WSKsd0myHtLsxXV/R6igOHgt5eLfP0akRTj/tzF1nb1q9f2ZyLxXPOuHcnhDgAFIaHNp3597hBr/1ksvXsmzxcbpRi3ZX58S5NlRdRa0S06iENCoBNS+k6oV4ToBt68quhhEVogTz1DPD0pnSN/7Y4Z3/q8H2fZYuJ9YX1PMNccJXevXpEnQKLFbvQiieOfPW9mFZ8gOfunpSfGc5NkWUwF4KnyU35Xo58eKXK9OE6Wf0v9aeSIHS1eWJKinIkwmJAV+xfnnI3757msuf20FGMYQpL56HyapY0YkFnUjQDqHlQ7MrmO0kAG8rmp2Ydjei40dEMVQcheu22Xl4kshZzYEj0W9d960f7zWkwcmGebIDNq5fQbvTxHUqB++5t3Prrf9x5yWP7fRZtdBmqC6oOFDzIqpeRMWN8JwQ1wlw7RDH1l2EbSvAKrTOlknNbtOJ2Tcuue0+lw98rM72vXYCbtnD0aXP5wPRicjjwltLt70HXH2An6+vXKz3SuoT/HlKQ823M11Qap5jVRns9LIuzH3/3Lnrb7P0m6PcZiKPy1ZpWjMIpSBQnL4i4O/fNc2fflxxx70u+44LcCJQIbr3iKQbWcwkVpBuv5LkPURKb7HKOiI7lqRekWxaE7Bujc2ZW1bfesHWiw622i2qlf7ey+I4+RIAPvgXf8mWi14x7quBmdaM9ZrZ4wdYMGwzXBcM1iMGaiH1akC9ElBNEpU9x8d1uji2rwFuBphmkHQ9C7HckMcOmPzlxxv83Zfq7Dts60Rh2eOZnI8hmeOtKcSkJM+LdU+KW1ZrozeDXtJTui2vt1fO/hGlx7T/ukwMZYlIYrdFckweD56/p6e4pCiXJitl+MvCdWTPe/olZceWK4QVG+nm8eOFamHZe8ji7+fWpUm9zaKwyMtLIQt7jmB0OOayLV0WLY54ZIfJ+IRRQJo2bkMEgZIEsSRUIqkxmD6qhHtQmIbAMCRRJNn2nOey6bTl/+/M5O4fDI6sPSUBclIJno4rnruc2kDjziG7+VWH41c1p55gsBExPBAwWOtScX08VycpV9wA19b9cJSKUJT7VFpuwI6DBn/2sQZf/m6FTpyUeCgmRBbmo/+YzyxTfY+Yq6aQh0/QT2LNfV/6lr75mcXHk7AtJ/tqc8LQivy16vN68T0FNqXMsui/T1Dco68501uoJ9fL058ZUbAjdSy58BULh2Le+NIWjgV/9lHBzgOAm7vzlTToxha+MpiVEseWVGyoWYqar+iGijCOEVITFcuWr8Wsbf5qU22+sxPNcKrjlAFeH1zI7j2P7910xpbf27HjEaNlH3nFouEplixoM9Jo4bkdHLuLaQYcn4rZc1jr2UvHQoaGIwhBxQrTjtl5wOQDH2vw5RurdIShOwz3BEhlsybi8m9xpkrIHsUyPT59/cT6gpj3j7k69pzk4sIxJz33iUYfSrDfIRm1V6A8cgdOmQ3Jr0D1/Yz5LiDzKmcRnKl3WR8nCsfkFGSBJ08WUCrtVSfCsSJefUULYsUHPjbAroM2WDq6lEAyMKxYOqadSIcnbI6OO0wZFqZp4NqChTXww4h61cF26l8/++xzf29i/OC+RSuWnOoMnzrAAVavWs6ux27fd+H5Zz547PEnXlG3HmbXoYBv3gFGUjNFSMldD3vc/VMLqWLOPbPDORs6vPDcLmduCNlzKElWuLFKV1jlcsblAhzo1Q46zjjZVxRraS5gljBxSmRbhoFeWjB7LLOZ2fO+JOCpiP1THNnbekVznyPTGixpdGGJEiw6QLOfFNX3PIUjyRz3WXqgZrl0c4KE7i26+NPow5RVIV34MUpKlC9wzIjXvKAFQidN7D1octaGkBds7XDWhoBtZ8TIGO78qc1dDzkgBdLQlYDv2V7j/h02q1avYu1pZz/4/Vvv3HfFpc99UnP6pAAOsGTxApzqqg/fdu+9a751y9LX3rO9yYEjtjYKANAJD50QiCN23tTmuu+1+NrmJn/zzmk+8vkK13y3ii8tMJMOC4V6gdkdSjJA9IwK8iRnChI+0S+yQJ+k7VYiadJ4tnlx0nu7+0nyE7wOc9ZAaZxUeIqT7E/c3j0J5vky7kN5lB1Aet6K11H+TqpkxpQiOwtVfEWS+K0leMqRp9VsJVFsZny5nqe0UZhEqRDLCnjtC1qg4COfr/I375xhy6YAM3SIYpc4MnnZcwUvPjf1mYSEUcSuAxHHZkcYXDDwpdFF53y43dz75MDKUwC4W1vD33z636ZGxpa+WXUeX7rENS62B2OONXX6mhSKgUTTaIcW4y2DKAjYtDpkqiW451EbP9W5hZX0p0wAXixrGodJwZkkYTXWW1psKfPipMDOMkxU/thDsc3xDYnSQ3+g9pH0J+ciEgPzFOe05K0s7isdVAR1qk/3XkH+ppwHP4G6kunY5U03AUvDliMMI9YNkhUY6PoqKoxRyiCKky0yMoCnlciUlChD/9rYls+WDQEDFcXDuw3OPT2m060xOVMnCMzM2NVVuAQTUx7NZoUFAyM/OO+5w2+emvjfrZHNb3qycH3yAAf4/f/6Gu69977WmW97pX/brV/hjp8+wZ2PeLhm2mNTMxRBJLAMePmFTT74W7N0jZgzV4c8vEuCTMBtOEhh6OKKiRoQxgaRSHTMOIAopm6ErFwdsHppwO59Jrv3WTR9QxemEaClecK5JhVsk0C6ksQr+0TKdzzVq0+uwZdhNZdZeLqjQMkV/i59j6Iakn6b+fTwfp9QqkimculdqCJmGBGGFdOMBLv2mOzeZ7JqWcjq5QEVMyaMBHFsEIYWYWQk9eSFlvxGTCxDLNCx3yLkgZ0mjz7m8r5dVcJolpdurXDo2BBhJDGMGMvQHShsK+Sex0IOTYzy+qt/1d/9uGidtuHMpzSTTwngAOvWrQMV/3iksu6CQ5N7vZ2Pg2PpHpOeLXAdgWsbXDwa86aXG9iyhiebXH5+l+vuEHRjDXDTMKgY4Ar9XoAghtlI0o4NCGMW1Hze/Mpprn5+m43rQx582OKaG12+dnOFPUdturEAGUEs8/7ORQl+Anurr7pdcvTkIlz0eVPvvhMZr31HaTX1SObCk5LmUny99N3ycNjyApnvelJgk4M7UUmkjAhixWP7Tb52c4Vrvuvx4CMWG9eHXH1Fi7e8ssmQF9PpGvihRRBYRGnDBBljRDGWqUNgLTOkNWPw/TtcxkOPIKrzkWtGmJ0UjA7W8RxFxYnw3CgJkw05Ot2lPnZ6e9GSlT825En9kfOOpwzwWq2KUsffz9LLVa02/vsXn/mw+9AeA0NIhuqSRs1kZMBgw0pJtzvE9CwMD/osWxTj2JJu18aUBg1TUTMUlqFbZwt08rIRSIKOYLTh867XT/G2V7Wp2RB0DLaeHnL2+hleeVmX9390gJvvkbrPDBKUkagsedWn+Vzu5aAqVQZpga0UhX0Z3ucxROd+Sv/PfzK2QakIEH3Aq/qf8GSRMTkzVDYuDRlhujG33mPx/o8OcNdDHkGiVv5ku2DHvgrjMya//9o2VVPQ7jh0fTurXJu2UE8Ds2wzohsGPHHIwo8dKnWXqgF3PiQ4bRmMDBoM1CQjAwLDCLjnEYOzzzi7c/7zLv/bdiD/aNFo/anC9KkDHECIkfim713/geefPxpEXecPHvtUy3aMKiODFkMNg5GBOIsojJVketbg+ltMZlo20jWpmYK6GVO1FHYCciNxOpgdQcXx+W9XzvCWK2OMqMrsLAgZE0UhluVz0Tld3vDiJvfttJlsGWAWUqaSTZ3IvagK/qHCTT8RLEThWd9jBXmk6DwnmocYyV/s9UQW3fNFiS3mHF5+30lvYE4JZnXYhVZNJqYEn7++ym0/qYBr6U3oeuszkeDj11WI1ThvfolB6FeZbWs9WmfiRNhmAnChMIOQalXyoku73L4DQgS2jAgCODrhE8UWQWjgOQaWPc2jxxb4o1OL/uc9d/3kg698xYvjU/gm846nBXCAyy6438e1P/Tj20f80QHjzxuelEvGJLVKzEA1pOLpssuGjAmIefywjQpdXFNm4K7YCsdUOJZuSWEaMFSD01YbvHBLnW7Hox3HWYVb0wwSgPn82vPb/GSnxaevM+lGqfQu8ienTBz25bbnYw3nHFQA/FNSxVO9WuRA7mULszWQgb4szecYpgjyDPc+l5w8KXorDSOiqxRfvL7KV26sgmeBaYN0wLAxpIHjClSsuP42l0U1wYYVDkqRNEpIhJodJk4x/YvQqFusHItwREw3Bj8SNLsxdjPSBaX8mCgSrFw6GG9Yu+DPb35MfOSB/fv9pzCTpfG0AS6893D99de3DdP96ste8MSfNY/9kMG6IAgtLDPWEYWWbsz68OOCRw56GJ5F3RTUrJiKrQHu2uBaAtcWeK6kUTVZu9Dm+KSBoEXF7eLaPrblo0hbYcSMNrr8xsta/OAnHg/uTkr7FlojFOGeqR4nuOFFT2VRLSkeV2ZSnhnzUp3CazkFmNdEyXr5FKjBvEhQn7OmTpysfFuuvafqxUN7TD7zrSrHp2yoJokKhoNpGtQMGLAUDUcxWrPY/YSNxGSgpqh6Ea6tW1DGcU4ZGkZMu+2wdvEsq5a3uXv3AO1Q0PYFdkfRDSL2Hw954ohi4+ZL1NXbln/1Zc12+8JLXsPTHU8b4ACnr1/BilXLH/vh7fbb/ejYPzebt0vPGsaxwUsDrkyf3fslOx+vU6kbNOxIZ+TbCs/RiRKeLfAcSbViMlg3MQyYaVk4lpPd2OznVMaIOCZoR2xdG7B8UcCDu4pZ3emWxi+nt58y91u89/R3uUMK+rm6zFypLeYsipOOOcZi+aUi9ZcV3Jyjh5czerRE782kn/vBWam8QrHTJw5Z3LXDBjehcqWNNAyqCbjrtqLhKuoeBFHE+LQuuRZGELgiqXaWRzUaMma66bFmWZs1S1vcvSOgFTq0A4Eb6O5tXqPN/3PVGfHZm5a8vR2f91jN2vlMQPPk4bKnMlau3sh139/pX3T++Z/cvm/g3Q/sPp3ppmKw3sGxdR7mbCfkuttrSMtjwFbUEtXEc3REomdLPFdScU2qro4zNw1FHIEfSvzAJAhNwtDQNGJk6OamsYFpwcsv7DBUi3pKGfQApc/zfmAvhxGdBPTFXaUOcunj/Hz4iQzNTN8uJDj0e3OZIRLJc9HLh84/Ch5cKRXjTcE3bnOJw0LTLmliS6HZLkOrk7apg72iSNHuxjQ70OxIWh1Jq23QakvaHZN216TdtWl3HIKuxyvO71CrdPEj6AQw3gTHjPnVi5dzxtqBd6/bcOknz9x4l3/Wmac/TVTq8YxIcICrrjibJ/Yfjt78hlftnDr645ndj325/vjhJguGKtQrMN1S3PboAFXPZNCOqTlQdXNwu46g4uhECteRmnI0NLOh69PpGnVRlIDb0O034lhLj20bAxpuzEQ7lfRlIJyIFe7nxMkUjx6Uz9HH+6gvfV56UqM3tiR1pBe58L6u+R6DNHv/PF88/y4qccnHTHcEdz1kazYqqcwrhC40b0mVNYNKu6hFkcIPIjpdiabzZP4dCovHkDEzzSpbT+syVOky1VTUK1BrBFj1GmPLL51Zv2nbzqnJI9Hg0AVPFYZzxjMiwdPRqHssWrD76xs2b/odVX/p+I9+uo4nDnsoFNfdXqHVrTHqKhpeTM1Fg9vR4PYciWvrIBvXBsfS2dUZBZr0nMmaoMYy+TvpExMrehmUolybk0VPP0AzB8xzpHfm1u4FSeH8au7OeaV4r8PmROE0qnw21ee13i4Rc8CteqV7sSa6Sr5fucZ62iMnDTdODeFY6Q5nfqDo+hEdX9Hxod2VtDtagjc7JrMti9mWw3TTw7EqvPyCWSQhixsRr7t0mD946xXjq9ef/Ts33HX464bpPZOQfOYkOECj0QBgYmLmsxc/94XmWL324e74d8aOTO7jKz8YpG6YjNUiBiqCmqudQY6tHUKObeA4EscR2LbCTiS4UeiorG9asQqTzKpkxUnSSA8S5ow56nEBsKUUthOCWJxw/9MR3blGkrcl0d+7EMVXaHdSCp9NA6FUkTMvzoiYMzP5UknAnca9Feo9FguWUrieOFaEsSAIFX6QtJdMIkLTQkJRrBvFxsnqde2Qqy6c5Ia7Wgh7KavWX3703C2X/HffDz57xtp1T3Hi5h/PKMDTMTRUp92a+fQZZ50np/c/9Ff/9KWdYwcONlg9HDNcE9Q8LbVtU5cDsC0dD+xYAsfSHlHL0rUxTEO7fYuu5Vw/TSY6kiwYjFi9LOSJh1SZGCtKaVG41aIgOpmLyb76d+9+0efAvmOeF08lJqCXPiy+saTEF+jC5DMVKcsiSu794vfOrlDofMndjxscmTRK1UmLX0+RhQURxhBEKgG4SpryghAGJIZmEEn8QOCHgiDUfZuWjYVcef4sob3+6EUXnve+mWbn00ODA88A8uaOZ1RFKQ6vUieY+twnhWW+d8+RM8Y3LBAsGxWMDZoMD5gM1ixqVRPXNXBsXXLCsTW4HUthW5pTNZPuyoZUWYvvVH6mibBRKFi1LOKCc31sWURsLmlLWwL6Up3w4msCRGFnVicxQ0P6ILJP6Mehn+ooG5uiqF3NxXBBA8u4b0UPUyIKx6QBZ4msViViMJtD0P2ffnSPzZ7HTR0YVHgt/aw42cI0zSwEP5Hg2ebHdANodWCmKRiflhybMDl83Gbf4Qrb947yquetHR8adt7715/59id/VuCGn5EET0dj0Vv5wF9/6V/Xr6j5Zy6v/cv+J/bXPc9KGBJdNiAIdVqVbYFtqWxzrDgDuWVoLlWWyr2ldz65qQZY1tweizmQC8U3e0RzP767cJb8sai2zKNfi6eI9JKhKHp/pUR2QDH4qj+1WOi4VuLKRQ5ulVOnPR38CENR8A2lXLb+K0a31gkjQSDBDLUKaSQtX4ykxbshkxo3sdbRwyjGMLR/w5wUhMvWzawZHHnHb1wefnHlpjc+47grjp8pwAEuOduMbbv2pdlZGS4Zk//7+NHH3apnMjLQZecTBkcmbCqu9l7aZirB42TTWSG6AW2MYSStw7ObU5BOiY3ZA7dSW+i+la2gJMdEz3H9YlLmGKTz8Om9tGK/McdQFOV9vbx2KrqLbAokndYoS3NUOQJRn6hfddn85XyBFr1dBaNSCYJYIaK0DqVKeg6l5Y5jDFNgxrrC2WQrYtf+gLG6QBqwft2qjrQX/uYj+2pf7nb9p+WGP5XxM1NR0vH8F70KKZrR0iVDX160aOyNq1Yu6yxfOMl4Z5y7d3RotiPdktnUaoltaVevY+vCQa4dYttB4u6PMsD11uvQdyf9T9NVgrR0MlnCbbHZa1ZTqMCFl5iVnsVAQXXpW1OlOObYm+UjSzT9PDZxrlZQktb9VBPSzmqKgnQu9+3RrBMZE9W7lYzQPjxoqpp0I0EnELQDzWV3fYUfgB/oSlVhqLtE1CrwnA0dqgNNdhz0Wbx0RWdoZMEb6wNjX56c8aPXv+7VP2v4/ewBDnDRZa9hfHwmeu8n3vjv286u/3pteLD17dvg2LilK/U74Dq5auLY2sXvuQFVr0vN6+JYgQ68FyqpKZNQhMmIFFm4ZhGtc3ry0NN/XsyVyr0S/GQc+Byp/yRHWUqXWc4SjVj0ZBairYoVaDP9u+dcZc9mDxuVOoZUgQpMJkII3fJcJkIljAXNQDDVlUx3JU1f0vahk4BbU4Yx3W5Esw0LByQv3dbi9E0LWm0W/vrb3nL5v880p6I3//rPHtzwc1BR0vG8F1xN+9BHlbdo5povXrPaXLes8c/N+tTAklEYHgiBpKqoFePaIRXXp1Ft47ltpAwBg3bXTRrLCqRQGLFExRLTgN17TG683aajcrEsyfti9pZo6DU2KQFU5OoJPRI829/b9DU/IDNt++jrc0ZRLSmwKkW1IdebUz280J8nPaa4ILJOaz0tvhF9pXoqLFwheP75XT5zQ8iO/QIsiSkEtlC6XQ3QjgTTgcIQMTOBoBvpYmymEWObEJiAH9P2NbviOQ6nrd089crLRn/7V15xwzW//SeSf/kfb/h5we7nB3AAb9Hb+cRnPsbyheu/MFBrWqZofcQK7xqZnDzOkYlhLBNsS0vvgVqbenWK798bcf9Oi8ufE7FsxKAb2Dq5WShMQ3dVFhKOT0sOH9LtUlInhSHATPoIZf15sv6SqdQt5yUW3fa5vShKQC/q1r1F9dM3nlCS96MH+xqXhU2UpXe5dXd+in7SWndCJgG0JJaxVlfipIND2nYdyaJFESP1mB1JKxFT6JAUz1S6ml6oWLN8ihdumeC+nR433jMMysYyBK6tw+AcS7B/vIvPEOcvPeu4Xa29q+NXvvD97/58wQ0/Z4AD/Oab/hsA3fbkvwppm1NH+NAnPnfbWBwohhraSKl6Po49y7fvivngZxdw4FCNHfsiXneFxXA9plrxkVJhW0EmwWwbhJn27tHuZUvmhX9kz6bjwHuMywLuSgZpj/4N5f3FUYw8ma8D8nx0tAJEEeiUXfRF4xKK6ocoL4YE6ZmUjyWxVMhYBzbFyd+6qpQkUgZmAnQVRvhB7vgxBTiGomopai6sqQte+0LJlRdJnjg6ScUK+Y+7FzLdtWi4EWEEgzXBhtMGGF564dGrrrziD/wg/NcFY4M/b6gBPycdvN9wvEE6Qfgpd+il7zt365VH166wmW12kSJmoNbm/t0Bf/G5BUzPDHHuWhPPqLH3YJXJWYeubxJFMjeMVMzeQwadMO3ZY2LIPH7CTKmstIW3yHOW5xqZoifTvMfwpEfCQ5ZgXGJNTkE9ma+YT9H4nKtH9xiYveCm/BhnqohMKkelz/MtjpLH2MA1BSsXhSBiRKKTW4bOdxiswIoxk3Z7jLsfXkbdHeF9b2hy5tpJJlqaYbFMn9mwyvMve/HRt7z2+e+rVsSnni1ww7MIcIBGrUHFMT95+aXPfc/W5142MeMvoOoF+GGTa39Y5chEg7VjisWDMJKk6gehSFrNJfqz1C7ir//Q5eisBYaJkBJH6u7eZsLRmoKMr5Wp9BZzHT3Q+1yUVBCR6t8lfYUeyV6mKk84egOlgDzGmxLqix7J3kWQHVoAf6wK4E/AHaVbJIgiXRJN96c0CCOT4YrgFRd1dNyDirN51hSg/oxjk5JDxz32HhxktFHn1y6exbGbNLuCrWct5iUvecHE6nXb3jPb5JOWffL6gT/L8XNXUXqHYXl0u+3PDi8+b3z5iuNrl60a+p8PPLTf+unuCkvqkoUDisG6Sc0zcOwkNkUozYkbEY4dsOsAPLDLIYp1BwFTClyZpMFJrTsaMpfeRaNzDkc+nz5eKIlckvSUQT9Xfz/xyPhn5urbaWxKrETqeC84cHI9nCKQyd3pulCPyCKIURIRQ5TaHhEIqTCimNAwCEMT1zbZvDpg9dIuu49E+LYiiHMPpu8rZlqK8SkD2/QYqA+wYdlRVizosPU5lwbrTnPe+5Irtu60HO+blmGdfAJ+xuNZBziA43hxa+rer1/1yhfYrYkHWwNj8qOrxx4RE0LJsSGDgbpJ1RN4doRjx9iW7p3oWl08u8t3fuywe78Lpo00TFwp8GSMLXUfTzORPqZIam8Uim4WGDFAzFFBINHXKagjJf28COyEPzkhQT53pMBMS1Zk3sw5Bma/TaAS6lRCIXYlbzYVFzL48rLHgEobPylkqAiNiCA0Wbu0w8ueO8s/faWKH9i0LINuIOgGim4Q02pHTMyYCGHh2jU6yoyvvnKbWrB44++esWXDZ25/6LB/xdbTnm1YAb8gAAeoDJxDc+Jev1Jf9tmxBcFNl2yxrp6dmviL6cmjeJ6k4ipcJ8ZzNDder7aoVpp87UeSf/5ynfGmC66FaQgqhu4A55hgGSm4Vamia69jp5cJmeP4OYmEz18/NWT3Eikl9oQcuCmQdcMolXsoe3Ry6AF+YmBq4Audthel5yzw38l1GzImDE26gUXdC/jtV83w+FGLb94umZJ1qpak5ke0uzHtTsS0IWi1FZa7hGXLh/9k3aI11wwNL3p8/+MH/SvOe2aSFZ6J8QsDcIDq0DkA7W98/avblyxZ/yFvxTH7+LGB9x898oRhyC6OFVGv+FTcWR7c0+bamyt85WaPQ+MW2CZCGnhS4JkxrqkzT6xEgqfghrkSulcBL9GDpUWQuv5FybiUQvQxPotsSp+RIjyR0MnTglpC0tJPzZHaMWQd0VKGpdwlIhH5Ij+epKZ3hO5cnBqc+jCFFCaGEWFFJmFgsHG5zz+/+zjX3tTh8zePsWP/MLW2pFFR+GFEjM3ipSui2uDoB899zoYP3fvA49ElW1Y82xCaM56K4+3nMm75/je49PIrmZk+/sGbb/3Rux/fdZ+zeuER1i47xPfvb/HHnxmi2a5RsZpEYZsJv45h1xh1BYO2TmZ2LS3BjUJpiJLxRqKDp8FCQmAYuSFqSJEYpiLZp1/Xtb7Jan5LmdcIz3Vzkag2Se1w2VNLXOYLqfdXJasJnsZ4FK/RUEncR2JXGHncfPp6GvSU1v1OR/ZLAFkysG3GOFaI6wZU3C61SouqN00n9Ol0qziGS9Pv8oefHuSmO0c5a6nJ1o219tZzNz1+0SUv/fKCsZE//Ldrvsprrr7q2YZM3/ELJcGL49LLr6TdnmH3/uD9W7ZeIteuWnHB9MFr5UP7Jy+49tbYtNQg562RXHlxk0Z9hr/6os3+iRoVU+HZCi+JK7fNBFRAnATgh1Gf8I8enWEOc1KkESkAudR4OQf3yURHrxGaLrpUksdJGJIQuRSPFYhYnz9VX/KYk+ws9Pl2OlIwYU7iWF+fIRWRFRHrXo6Yhi5euueQwYe/tICaPcYrz7dZs3SKV247gmmOhHFn7I6Xv+z5D05NHvgdz/PU5NQMgwNPvTDPz3r8wgIcwPOyiXvfu/7qX7Gt0+uT06s+bpiHX3Phhgm5amHIphV1Vi49zrJFiuPTULEUFUv3dUmbixpSgyQMBR1f3/woBlIGpZ9nsddDKfoAOe3WIMQccAsou94Lz3tDbVMHT6aaUIgMjHVFupQekUW1JQ2O6pN0KZKuDmn0pS7lIOn6Bn6oF4RhgJ3QrgCWjPEDiz0HHW69b4hVQzUWVgTdYDGXbVscX33VomulU3sr0T0zovq7zzY8Tmn8QgO8OD7yvl/njvt2zLiu+44D+w/u2L39/jNG67NXDdXu4aZ7TXbvrzLiQt1VVBxFxRV4ju61aBmaKmt3tZcuiCCItCpgGnnvUijTfhTArNuYlNuPyOz1tD1JWRXSjxrZooD2XoMW8mIARaM3ldopjSJiiAXImKRJq8p07KyTNkVVR3uG04XZ8U2aHYNWRzMppqlwbZHVMJFC4dgVVi/2ueCMFnff52BXT8OqjnzVGT79QVkb+7uo68+Y1Y3PNhxOefzSABzgvLPXARwbP7b/jy/eun7lxNFH6c7aV+247W4GDBisRji2oOIKaq4uQ1H1TBxLIqSi3TXYfjhgqqljKxxTy0BDFILziiwKqTOp2FOnoFOnOrgQ2d+Q8NMp06ESPVgKZKL/yszZBKicY86cV4kIL9qMQgliVMJjC0SsDec5TS6SlZWWUdMhyCG2GWEaPo/sGaTV0Z/vWJKql0pwfW0dX+BYERed4bBu5Ta2bt381a3PWf/Oyenm3mFj+bMNgSc9fqkAno7h0aWE3eN7a6s2vmfPvvizl1y08ffWr9hz6Xdue4RjhydZWnMwDahWDEYHDaqurrFSr0Q49Sk+e6PFbLvCmKfd0MWo8pIPMnPr5wDWQBclHVwbn0njKUSSs6iIopgo1oaiiUQZSkt7mZRHT1SSKIAo0jaCQL+exrCnendWEz3pPhaLRE/v8UUXq1/peJ2QgVqLiFluuGWIHbsD6l6EIQUVV6IwkFJ3o/bsJhEux5rnPHDW2n1/Wlt0lr1o0ca7m51g75rVv3zghl9SgAOYzgjAjjhWO1at4sH77zEW15ds+Nih3Y+u604+YNzzaJfRQYtViwMWjcxwbNKj5gl+Y3OLR/ZF3PgThwE7KfebqB2lgKiUZUkBnIC4zH8n6olMWpsb+jxRpNPx/EC3xTMMfWrT1MebBknVAG34+T4EQUwUq+xcQoieLB0NaJWIfZGEHqS/PJAL8CjS14sAy4xoVFvc+EDE575bZcNoTMePOTIds2TQpOrBopEuD+9x2HD6edHGjSt2Xn/zzBt3HV5z/399ybZn+zY/fZw82xfwdEeiFmz/6e7x7ZsHohdvXOIsdZznXDvxpVsaa0cPVSuV/Vx/FzScGts2BlRdye/+6iS3PzpMpCpYhsK2wDRydOvwUh2NJ4QGtmUKpFGIBVFpNKLIdHnHBtfW3PvO/TFHJkNMqfAc3aPdUjpEwDIVnquoODoNr+PHHD9MEi4swdZSNZPOogBwdMtzkXxmlp2UlJ5Oa8cAWJZOEJlph/zDVxrMdCyCCM5cKjnr9Ba33Q/T7cWctm5pc9ull0+rKH71yOKF+9/4BrlXiMXP9q19RsYvPcDTsXn1MErFe2H08UPHpjdf/Svi/GVjwccPHX6o9uiBJwYr4hi1SgtpdFk0KBmu+YigQtVV1CuSWOnUq6JrO+WqLVPgOhp0YaTw/UhLzljocuRCMxKODfVKzLIFXR49OM2jBzwWNQyGG7oYvHIMRJJgXXVjRgd8xoanODgRsOvgKEtGoF4B05Bg5uqMkejafqCNYyO5LsfWerZlxBhGqvsLOl1JO8l2CusGk7Mx+454tELFjK/oBBablqycWbB05fjG0840lywWv7Vi1arbMQamokjFhpBP/Ub8go3/PN8EEEIihIg9oz2xbvXS6131k1VrNrz63b/9lt/86WmbNv7kwOzgvQ/vH+t0g+W84fJpqlbMcMNg+UKLBSOSbpieCMZntYohBLi2wWBdMjygmYuOHxMEiihWxJFeFFKAbShqXkyj1uFNLzuCqAQcb+pe7EGSpyiFzj+tehHDjTadYIZP/YfBZEvR7ujjlFJaNTJ0NKRlKlxHIUTExHTA5ExE29cRgo4dMzzQBRWhEDiOz+HxiN0HDA5PWMy0LD7/XY+Vw4O89Fyjc/kF1XsvvPCMn2676Nc/+Pl/+5e1jXp9faW29PoDB1sThhCxbf6ngsR/HgleHIPDiwDiZisCIT9liO6npZRMRBcZk83Bj1YHJ9YL66cXb9vkG8PVkJWLIiY6k9yz02BVo8qGVT7fu89npuMyNqRZmSWjMY7b5I7tEHcNhmuJ0q60bh0rQxuPpu5uMFRTRHFAq+Mx6iuCSKFi/aug6bmIasVnptvh2Mwgi6roRRBrI9Y0dBEky1BYJgwPBAw1prl7u4VnOji2TdwQ1CoBoZrkzkeH2LDcZKA2xcP7JIG/ECFtKpWFXH7BwujC8876wXmbve3HJqbf/tgTfmRZHv/f31+jNq5f1nq279fPcvynBHg6qpVi/2gAwod3TbzVNO2hXxk97y/3Pvp9++CBfdHaFeaWibZ9buXHU7hWxAWb2girybducTENQa0iWDzaphOPc3ymRl1W8BzJ+GyMJUOkIaiEMilPptWHKJL4YchsKPBD3Yc9RuvMWu+PcGyfbhyQ9aAR6QIQeI5ioKoLYk7OGlhGTL3eZjqMmJqxGB2MEuYj4Cu3x9zxk4DRmmDFUpehhYtozQ7eHYvOPb5caVx86UV+ozH4h+BPLBWLnu3b8nMd/6kB3m9sXDMEMAH8NsD0oesxDXHprgOtF/3ay4JXD3nxhpVrj7Lr+F0M1F1cO8axfBqVKX5wT0i7abJupcma5XDvD7vUDBPbiuh6RpKMATE6iVdFIX6o6AaaVVFxYmQaCseKsM0Qw4yS/vYkr+kqXxVXsWiki+eOc89No3i2yZkjJuesm+UbN9ssGY4YG6oQKQ+k4pILt7LxzAZLVshHt0nv2mMTA/8hpbrlTa+/jDc925P+LI7/4wDeOxqLXgxwy9Fj47e8Zim3KhWtrdtPxNUHHonPO2fd6vPPWfAHQfsJxhYPc2j6EN1uwNhAyGnLppjphERikIVBRLsd0epokBPr5GlBxGw7pulLgqSnrRSa3fDcgHq1w2RX1xQRbs7EOLaOgKxXupjOce7d4VKxK6xfIThz3QD7J9ezdpFg8+aVeI3DHxqs79h9xRUXyTPWLpCOY+1cuprrq7XBZ3tqfyHG//EAT8fY6DDA9enfM1PHsGx78OiRw7c9sddgcGQ6uOj8Lb9/0bnyheuWCBaPTbPg2z8hbAUsXSjpBNDxbZRSmEaX798T0Zw2OH/jEZ44NMDUrEl3SDuAHLMDapJb7muzeXXI+ZsmefjRUWzLYdGYR7USM9s1EYZFrb6KN7zmRaxe4LFiRcRy0blh71T8N2vGpLV+/WYWLX7BLas2dicXL17wbE/hL+T4vwCfZ9QHRgEmga8BPLzzEOedwyO2ES5seMSm2aJa20c7Os5gw+DYVMRMKwrWb9z6gZHBA1c298wGv/bCQS45p823fwzDXpVVCw2WLDBYuqTD0MAYP95T4zQR8fqXBty8YKF1ztr6N8KZBz5gW8Kabul+QxVviEvOP4uBistATcmKx+H3vZXdlrfs2Z6iX4rxfwF+imPj2kUAu5OtNK7/vH7c+9iPUIi3OkY4UK3V1LpVA6xc7LN0YZcBr8rIiGRg0KBS6+JVwbTHCIlZNDrN8iVjYu2ahVOxWnH4pS+8uOcT/sez/fV/acf/D6kN8e2/YVW2AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjExOjU1KzAwOjAwsHiCvwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoxMTo1NSswMDowMMElOgMAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 56893621
{'hecke_orbit_code': 49539870846091669, 'n': 1, 'trace_an': 2}
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id: 56893622
{'hecke_orbit_code': 49539870846091669, 'n': 2, 'trace_an': 4}
-
id: 56893623
{'hecke_orbit_code': 49539870846091669, 'n': 3, 'trace_an': 0}
-
id: 56893624
{'hecke_orbit_code': 49539870846091669, 'n': 4, 'trace_an': -8}
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id: 56893625
{'hecke_orbit_code': 49539870846091669, 'n': 5, 'trace_an': 5}
-
id: 56893626
{'hecke_orbit_code': 49539870846091669, 'n': 6, 'trace_an': 0}
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id: 56893627
{'hecke_orbit_code': 49539870846091669, 'n': 7, 'trace_an': -6}
-
id: 56893628
{'hecke_orbit_code': 49539870846091669, 'n': 8, 'trace_an': 0}
-
id: 56893629
{'hecke_orbit_code': 49539870846091669, 'n': 9, 'trace_an': 0}
-
id: 56893630
{'hecke_orbit_code': 49539870846091669, 'n': 10, 'trace_an': 40}
-
id: 56893631
{'hecke_orbit_code': 49539870846091669, 'n': 11, 'trace_an': -32}
-
id: 56893632
{'hecke_orbit_code': 49539870846091669, 'n': 12, 'trace_an': 0}
-
id: 56893633
{'hecke_orbit_code': 49539870846091669, 'n': 13, 'trace_an': 38}
-
id: 56893634
{'hecke_orbit_code': 49539870846091669, 'n': 14, 'trace_an': 24}
-
id: 56893635
{'hecke_orbit_code': 49539870846091669, 'n': 15, 'trace_an': 0}
-
id: 56893636
{'hecke_orbit_code': 49539870846091669, 'n': 16, 'trace_an': 64}
-
id: 56893637
{'hecke_orbit_code': 49539870846091669, 'n': 17, 'trace_an': 52}
-
id: 56893638
{'hecke_orbit_code': 49539870846091669, 'n': 18, 'trace_an': 0}
-
id: 56893639
{'hecke_orbit_code': 49539870846091669, 'n': 19, 'trace_an': 200}
-
id: 56893640
{'hecke_orbit_code': 49539870846091669, 'n': 20, 'trace_an': 40}
-
id: 56893641
{'hecke_orbit_code': 49539870846091669, 'n': 21, 'trace_an': 0}
-
id: 56893642
{'hecke_orbit_code': 49539870846091669, 'n': 22, 'trace_an': 128}
-
id: 56893643
{'hecke_orbit_code': 49539870846091669, 'n': 23, 'trace_an': 78}
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