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mf_newforms • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 881, 'conrey_indexes': [881, 961], 'dim': 6, 'field_disc': -1783323, 'field_disc_factorization': [[-1, 1], [3, 3], [257, 2]], 'field_poly': [9, -12, 19, -2, 5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [9, 24, 67, -2, 9, 1, 1]], [7, [-5, -7, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029896564147696, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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-
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'conrey_index': 881, 'cusp_dim': 456, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 1099545183728, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 10], 'label': '1520.2.q', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 504, 'mf_new_dim': 80, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, -4, 0, -8], 'traces': [80, 0, -4, 0, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, 4, 0, 8, 0, 12, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, -24, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46730337
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564147696, 'target_is_minimal': False, 'target_label': '1520.2.q.i.961.2', 'target_level': 1520, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46730338
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739196, 'target_is_minimal': True, 'target_label': '380.2.i.b.201.2', 'target_level': 380, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46730339
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 3241, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94576897878396252, 'target_is_minimal': False, 'target_label': '3420.2.t.v.3241.2', 'target_level': 3420, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46730340
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 881, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564147696, 'target_is_minimal': False, 'target_label': '1520.2.q.i.881.2', 'target_level': 1520, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46730341
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008436238878572, 'target_is_minimal': False, 'target_label': '1900.2.s.c.49.4', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46730342
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008436238878572, 'target_is_minimal': False, 'target_label': '1900.2.s.c.49.3', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46730343
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044111212, 'target_is_minimal': False, 'target_label': '1900.2.i.c.201.2', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46730344
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 121, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739196, 'target_is_minimal': True, 'target_label': '380.2.i.b.121.2', 'target_level': 380, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '76.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46730345
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189378100, 'target_is_minimal': False, 'target_label': '7220.2.a.n.1.2', 'target_level': 7220, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '76.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46730346
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816748596, 'target_is_minimal': False, 'target_label': '7220.2.a.o.1.2', 'target_level': 7220, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '76.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46730347
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 1261, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94576897878396252, 'target_is_minimal': False, 'target_label': '3420.2.t.v.1261.2', 'target_level': 3420, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46730348
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008436238878572, 'target_is_minimal': False, 'target_label': '1900.2.s.c.349.4', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '380.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46730349
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008436238878572, 'target_is_minimal': False, 'target_label': '1900.2.s.c.349.3', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '380.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46730350
{'conductor': 380, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029896564147696, 'source_is_minimal': False, 'source_label': '1520.2.q.i.961.2', 'source_level': 1520, 'target_conrey_index': 501, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044111212, 'target_is_minimal': False, 'target_label': '1900.2.i.c.501.2', 'target_level': 1900, 'twist_class_label': '380.2.i.b.121.2', 'twist_class_level': 380, 'twisting_char_label': '380.159', 'twisting_conrey_index': 159, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2008125
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36029896564147696, 'p': 2}
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id: 2008126
{'charpoly_factorization': [[[9, 24, 67, -2, 9, 1, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 3}
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id: 2008127
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 36029896564147696, 'p': 5}
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id: 2008128
{'charpoly_factorization': [[[-5, -7, 2, 1], 2]], 'hecke_orbit_code': 36029896564147696, 'p': 7}
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id: 2008129
{'charpoly_factorization': [[[-9, 0, 5, 1], 2]], 'hecke_orbit_code': 36029896564147696, 'p': 11}
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id: 2008130
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 36029896564147696, 'p': 13}
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id: 2008131
{'charpoly_factorization': [[[6561, -2916, 1539, -54, 45, -3, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 17}
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id: 2008132
{'charpoly_factorization': [[[6859, 0, -342, -7, -18, 0, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 19}
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id: 2008133
{'charpoly_factorization': [[[2025, -1755, 2151, 636, 157, 14, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 23}
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id: 2008134
{'charpoly_factorization': [[[263169, 41553, 9639, 540, 117, 6, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 29}
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id: 2008135
{'charpoly_factorization': [[[-71, 14, 11, 1], 2]], 'hecke_orbit_code': 36029896564147696, 'p': 31}
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id: 2008136
{'charpoly_factorization': [[[5, -7, -2, 1], 2]], 'hecke_orbit_code': 36029896564147696, 'p': 37}
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id: 2008137
{'charpoly_factorization': [[[18225, 8505, 4779, -108, 99, 6, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 41}
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id: 2008138
{'charpoly_factorization': [[[11025, -6510, 3319, -520, 87, 5, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 43}
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id: 2008139
{'charpoly_factorization': [[[263169, 41553, 9639, 540, 117, 6, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 47}
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id: 2008140
{'charpoly_factorization': [[[81, 270, 1017, -408, 139, -13, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 53}
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id: 2008141
{'charpoly_factorization': [[[263169, 41553, 9639, 540, 117, 6, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 59}
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id: 2008142
{'charpoly_factorization': [[[3969, 1071, 730, 7, 66, 7, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 61}
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id: 2008143
{'charpoly_factorization': [[[28224, 15456, 7792, 704, 108, -4, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 67}
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id: 2008144
{'charpoly_factorization': [[[729, 486, 567, -108, 99, 9, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 71}
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id: 2008145
{'charpoly_factorization': [[[625, -1725, 4311, -1192, 255, -18, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 73}
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id: 2008146
{'charpoly_factorization': [[[732736, -263648, 67472, -8144, 716, -32, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 79}
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id: 2008147
{'charpoly_factorization': [[[-855, 294, -31, 1], 2]], 'hecke_orbit_code': 36029896564147696, 'p': 83}
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id: 2008148
{'charpoly_factorization': [[[5184, 9504, 17568, -120, 136, 2, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 89}
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id: 2008149
{'charpoly_factorization': [[[93025, 28670, 12191, -424, 215, 11, 1], 1]], 'hecke_orbit_code': 36029896564147696, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 9, 'label': '1520.2.q.i', 'level': 1520, 'portrait': 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iSDkU/gCYQ1zE0Z1k1qljohnYFgmPgs9wUbJw2LbcPxc4qaH7BxBrbORWyYHbJ+dsTG2RFbN1gu2qi4YptPXTU5cnyCrz8b8Pj+hKePxWjV5Ttf0ebtL7PU1Sz7j01x5LTHqfOasym4Dy5Ybrxqnn/77mW2rZvk9Pkpzi/XWGz7LLUlK11Np2foDWHfkQX2n2hf8fSB8688fPLMjqOnzn3p5td+b3T/HZ94oSHxLd3+RjP40nKb/tDie/zq/U8eftm/+a1PyXfecuBl//Ltp7z5lQ0stSdYXGmw2A5YbHsstmGprVlqxyyuaM6uwKFFwdy6FX7pBxd5ye4GJ87NcPp8k9MLHucWLWcXEk7Oa853E6Zmhrz8mh4vvRwCWSdUIeeWapxZ8Di7JOiPIEkMtcDQrGmmJxMMcOxsQqcH2zf4NOsjrBUgAnoDw0UbRyyueGCdFFnpwSgBi2WpHbFlvU93oBDKIsyIiZrPRZuGrPQFx057aOMxOyFp1QShD0ki6I8kZ5ckZxYt55YTwnAIfsLNV/Z42VWCuYk6i8sTnDgXcnoBzi0knFtKOLUEhxYtL75ygV/+wWU2Tk1w/OwMZxfrzC8HLLQlSyua5U7Mckez1LUsdAUnOrCy1OE3/uUo+TuvazwQzv2YCZpXPCCF/jltQoLaxAsNlQve/sYy+B9/9FPcfNP1/MxP/6tf+ZNP3vUvf/+jX71kz/GVHYdO9+TLr+5z8SaN1h7WKqx17I2VgAQEQlg8YQkknF6s8/BByTW7lrh825BGDXxPEviKIPBo1iUNX9Lv+ew7WuPLjwccOz+ik8TsOzFiw+wSb3n5Mtdc0uXFl7c5upCw0Bc0wiGHT1vanSZXXyxZGWr2HFW0Gh7PHYNLN1uGkWaoAzwvZroFe0+EKE/jywTPh8FI8pLL+wz6kmsu0XQGmmOnW+zcqGg2IlZGlvVTfZZ7HT5+Fzx5RPP0kSHbNy9y7WUdpmci3nxzl+99lWXXxhY6nuLIqUkOnfQ5cdZw8nzMyfOaQ+cFx1diXrR7nl/6wS4bpqY4cXaGc4sN5lcCFtuS5bam3Y1Z6WmWe5alHpzrK5Y7CTdevsB7vnte1n2zY/H8sZ3DQXxT0LikXmtOf+Xh+z/LBz74py80ZNa8/Y1k8I997C+4bNdm9cjTh/7dkWNnf/7hp46qM4sRCyOPs33DNdvP8Rs/Oc91uxqcW5xmsd1gqV1jqe2z1PFY7sJyW7PcSVjqJiy04cSywKsPueWqJb7vVRE71zdZ6U1wfqnO/FLAQluw1HYSYblr6AwMnZGlP0yYnYi5aIMBBKFvOXneR8iQ7esVOzdbNq/vc255xFMHWtxwqaVRX+bZgzO0mhFR5DM7bRgM4YqLhnz0riku25YwGlnWTUpiPaBVC3nu6JC63+S63QlPH444txiwZTZk5ya4aGOEUjEnFyDwLUJYtm9ImG5JuoOQXt+n0/dZ6iiWVmCxbVhqaxbamrNtWBxqLtrS4/tuXeCWyz1q/gRnFiZYWK6xsOKx1BEstw0r3ZjlrmalZ1nswdmu4txKwksuO8v7fnKRS7c0WOpMsNKp0RlMgn+p9uubfsVrbf9lPTirX3nbd7/Q0Fl1+xsF8AP791Or1eqnT5+86PEnn3vXkWOn/8P+gyfoR5LOAFYGkvN9yeluwosvPsuv/+QS115c5/zyNIsrDZY7NZY6Pssdj+UOtLuGlW7CcjdhqWM51xac7lkQPd7+ijZvfonh4k01oqjBcrvGSi+g3VUs9wTdvmA4skSJRWtQ0hL6UA8tUxOW9TMxnj/k0JmIZw6GmKTJG2+K8PwVHtszyY5N8IWHE15xdcj59oCap0h0zMw0JLGP5ycsLjZ4+fUdvvBgi52b4NEDI3wavOElhkQMeOaQ5sjJGp4M2DDtMd0U1ENBEAiUgMRAFFuGEXT7lpWeods3rPQNiz3LQGu2b+3z5pe2efvLIjAtFlcmOb9Ud3q747HchpWupt1LWEnBvdSHMx3FfEfz4t3neN9PnufK7XUWlqdY6dZp92qsdH2WO4KwuZV6a8MvbNxy+Z9v3br1+Gg4HOzevfuFhlJ++xsD8ONHD7B+/bpg//5DP7z/wMH3P/rYk2JxuScHI0NvaOgNLJ2BYGUgOD+QnOnGvOSS87z3xxa5/pIaCytTLK40We6ErHQDlrseK11Bu2tp9zQr3YR2z7Dcs5zvCs60DdNTfV734i43X56wfYNiou7T6dYIfQkookRijMBY6A8BYZhuDTlwymJsxJ2PNhn161yyJeCWa/rEZoV7Hp/iukt9Dpzt0V6e4KXX9PnKYyEbZix7jln+8ds67DkasmFG8uXHFbdcoVjqdzh8Yobrdkfc88yAZNTg5isDdm0bMkh63PGYAi04dNJjouHhCegPJMYKtLHECSANXmBo9yzNVsy2TSNedkWf192QMNuscW5pksWVOssdd2yWO4J2D9rdhHYvod3TtPuWpb7kbFew0E246bJ5fuXH5rl2Z435lUlWug06vZBOL6DT9+j2Fd0BxKZmdl16jd2xc9d7du68+A8XFxeiKy6/7IWGFPA3BOBRnMhoNHjLww984ZLhKHnfww8/5g8jGEXQHyb0h9qBfGjpDgTtFOSn2wk3X3GeX/2xeW7YFbDSmWR+uZUyTMBKz6PdVbT70O1ZOv2ETk/TGxjafct8TzDfg1iPuPbSARtnNL2+5U0vHbFjoyHREk9aohjufqrG8fM1Nk0nPHuoBqbB5VsV119mCGt9HjvQZ36hyVU7mkxMLfPg0z43Xlpjsb/C8vIEGzdaHt6j+Luv7vHIHo+t630Wem2Wl2a4/oo+Dz6rmalPcdUlPc632zz8/BR1r8mLL7PsvmgIssdTRwTrZ2LOzcfc85TPMFZICdpYdmyKeN1LI7o9xeZpw/WXQhQ1WGo3WGqHrPR8On1Fuyfp9KDT13R6mm5f0+kbVvqWpYHkVEfQHoy4Zfc8v/yjy7z4UndxtLt1Ov2Qbt+n0/foDRTdgaQ/FHT7mv4g4UXXvTiWyvvp7337Ww42GvXPeZ5vXmhsveCZzNGwj476P3j80OO/ce70gZnFxSVaDYlULlC0lTjYWYBCWKS0SOnxyP4N/NwHPd52yxLf/+oldm6JOLs4QRjUqYcBjdCnWffo1iWtgc9k03MXzECzYWQYjCzdYcjSfI2TJyxRYjh1NiEMLSAIlMWTgv5AIfBJ+h4v2iHYtdly0ZY+I93li48o9h6c5vU3hFx/xTIf+aIlEA12bOnz9IOKLVOKdRN9aqpOFPuc70Kz5rF1g+DJvRHX767zqusW+KPbBwR+i9feZPHDPl99OOILDzV5/kidizc32LFJMzcdsXNdzNU7NEoZPGUBSyMMmZsKiWKfbj/g2QM+vaFHf6DoDSW9AfSGll7ffffuQKeromVlAPN9xbllS2OyzU+9cZ7vvmXEtRc3ObMwQbtXo5uCuztQ9NJ/sz8S9EeOAOIE7nvgEX9mZvY35tZvXHrly17yL7q9/h+1mo0XFF8vKMDjqIfA/uiZYw/86uG9X5uJhz1qgU/mhLh7AXAhQArXSaOkRUlNICVPH5jjif1NDpw+z9te1uNlVw6Zak2w1G7Q7NSYGAT0+p47OUPJYOjRH3kMR5ZhZIhiSxxbEu3uURJgDUgl8D1BLRBMtQTTLdi4zrB1Q591022+9Bjc+4SPNJO8/gafF13e5f7nY6LhBLe8SNAeDDi/2OTm3YZ1U33qXsgwUcx3YpQRvGi3R6M14vF9NV55/SQvvbbL4/sU2EluuDLgR75zia88GfHlR5rsOV7jojnFxpk6060Gky2oh+B7FiXBWNhzRKC1IE4EUQKjGPcdR5rByDAcGfpDQ39k6A2gM4L5nuR8F0ZmyGuuW+ItL2vzd15rSJIJzi406fRqdAcBvYGfsraiPxT0h4LByDIcGgYjzTA2DCPDgcOnOXnuizMrXf3/vO07X+l1uv0PTrReOJC/YABPogWkSH5k8czXfnX+xFfXB3LAVCtkMDII6cCMkAgEQiiEEEhJCm5QyuIpi68MdV+w0K/zsbu28tUnOrzi6hXe/ZoVrt7ZY3aqweJKg+4gpD/wU2Ard48Eo1gSJ4IkcUu9q91yQaXnQS2ARt0w04rZsr5PQo8Dp2I+fk+NwyeaTIV1brzS4+ZrOjy8v82dX5/gpktrXLSpz0fvEigRMtGKWemNMBaUgLmJPp1ugEnqvOUV5/nYFxrsOlfjzTf1ieJF7nlmlljXeMmV63nzjR0u3dbmq4/3efpEg6eOBGydkcxMCBqhIPDdRSgFCGExFoyxxEl6scaWUewu5GEEgwi6Q8HySLDUBeENue6yFd79uhVecaVmdqLOcqdBu1un2w/pDX16g2Il6I8kgyH00wtnODQMIs0wsi4o14qFM20+9GdfXt8Z8qvvfOvL7MlzSx/aumHmbz/Azy1ZlIeYPS7suZO3/5Awnfd1l55ap+jSrDcQIiErXhMpgQshEUIghERJDyk1Sol0eTb4yhJ6lronWB4qFtvTfOLuJg892+OWa1d492tXuG5Xm1ldJ0lC+sMavYHPYOQRxYo4kSRaoo3AWOGyoMISBoZGLSEMIgJ/xKnFEbc/Kjl4MuDIyWmUCdm1KeCKnYobLu+gwnmeOdRiy1SDqy6GjXPLLHUmuHqLJDGWLz0SMupLppoJb3jJkM/dE3P8bIvLLvE5szLkucM+2zZMc+3Oee5/usuDzwlGUcDlO2e4fFvI5Vu7HDqzxMFT8MjeBgcON2l4gtCTNENLzQcp3ZpnrbtYEw1RApEW9EaCzlDQiSEyCcYOefGlHd79ug6vuFqzaSZkOJxksV2j2wvpDQP6A4/eUNEfKgYjwWAoGYxc3+hwpJ3HPzIMI8sgMgxHlkEEI604c6bN7/7Z19Y/f+Tc+zZON5Jf/I07P1IPn+Fn3vPP//YCHDsEW3vFkcajH5Ir759pyHPrlPWp12pAlAI709gKKXBsLQVKCTyl0keDpzS+Jwg8Q+BbQt/SCDRTNUF35LPcmeZT905w11NDNkz3edetbS7fNmQ46HHVTsu2jYpR7KN1keYXWKQ0+J7m2DnLkbOClYHhs/c3OLUwjY18pmuKzbMe2zd6XLwFrtrVwcgFPvC5JktLk9x0ucdVu9p89SmBSHzWT0uajYR+HCCtBCtRXkB7KDi3JLjSNrj1hi4PPF5n87qAm66a4R985wJ/+IUuj+xr0hv6LK602Lm5zmWb+rxkd5fveWWX00tLfPb+kMV+yLEzPqdOBfhKIKVb9Yy1aAOxsejEMD0bc82VfUajmMu3jXjHrSPWTypmWiFxXOPMfI3+IKA/cqvcIAe2dOAeCYYj3Eow0gwjwyjSTgLFNgf3IHYXU2Q8zpzpsPfPH1z32hsmf+vWW9bF21pP/um/+rXf4z/97E/+7QP4P/7lj7BhtiY+98Xf2VmXe3bP1Z9j/eYQSwuEBAtZBjLX2tJJBSklSko8JfBU+ugJfE8TeILAN9R8Sz22NCLLZE0zXRf0I0k3anLkZJP3/ukMmASRJNxwTZ+dGyOSBIw1WOuSOFIIpBJ4fsC+4wF7DtZo1jxagWRdQzA3K1k/47F5TrF9k+ay7Stoschvf3qCY8enuGm3z+U7NIOky9efCZmq+8xOWqZaEY26k0LGSNpDxVLPstjWtHt1Xn7VCo/u6bP3uGJqosZLrpzix96yyH/7DDx+sElvYFnpepxbmmDjugbrp4dsnx3yr97ZZ6LR5ukjsO+ExPctSlmEMIB1/7OQJLBjo+aWqxN07BMnIdY2GEY+ZxcCBiO3og0jlcu3QSQYjgTDyLH2KHJZ2dHIMIoMw9ik72V36MeCQSzoxoLlWNJPNHrY58CRo1O7d27/g+0vui75f35mxyd+6Yf/i21u+md/ewD+c+/9GLu3zKkf//k/evt7P3LuA0/vOc5t107x73+kyxUXdZHSIHPmDpDSoqSPUhYlFUqpVG9LfM9pzsBXjHzJKDKEkWYUW+qxYRQbosgykcAoNowSiBLBMJaMdEisa+w92OSpvaCtxUHbaWNfQqBczUcrhKs2wUQdJpuS6ZZidspj/QxctHHEprkVYrvEb396kkOHJ7n+YsXFWyW7ti7ztecSzi1OcsNOyfSEoRYMCGWIVYJES4S1JDpiuVfj3KLP9ZfXedHuLvc/XmPDtKBRa3H9bsNPvX2R3/qM4blTLVZ6hpWuYn7ZY91Uk+mJOtMTk0w0YuaaMduvjwj9BN9LUEojhQsmLO6iimPF+XmPOFHEiSKKFaM4fYwko1gyiiTDSDKKhAtQI8Eosowid1xHkSaKUk0fu/eHEQxjwTCGfiTopODujRLsqM91O5f5dz+ywk2XPdwIm/YjS0elGerLP33u0Af1hl0/+u0P8J/6jx8nDkL1wP5T7zh47PwfPfD0+VqcbOTT93ZJjOSXf6zNFdt6eNIgpEnBbVDKoJSPkhZfWXxP4XsWP5IEvnAnwReMAkUUO6DHsSVKtHNFktJdQ6ItWhu0weltQw5ukUohT4LvQ+gJaqGgEUqaDcVkQzI9KVg/k7B9Y59Wc4VPPxBxzzMzrCxMcM1Fiu2bfC7dNkSLFb70SIOm7zE3rWg1hjxzCJ4/7HH1Nkt/pLj20phrdlnOntHMLwcMhg3eeGOX+54ecOCUolmXhMEEV19s+OUfWuTu5wZ87u51LHYs29drltseUxOKyaZPq+HTrFtqoSEMDKGn8ZSTWjJtrbQWl7AygsRIEi1IEkGcSKJEEMeSUeyclygWRLElimAUa6LYEJWIYxSX7w7cg9ixdyeWrMQwGEXIuM91O5b5pR9b4rtu0fSHk6x0jtWSuPUntab8+2Ft4pPLx39XT1/0D7+9AT7jGTnodr7/4KFTv/v4c8drrdCj63nEUvBXD0iikeIdt3V552t6TE8kdKXGk2Gqs50e9j0PP/YIPcXQd0wz8iVRIIhi4U5OrIgTiGLpHISksP0SbdDauQvapk5J6pZk7oySTvYEniAMJLVQ0qwLJhqWqZZhw8yIuekuiV3hE/dJ/vALs6yv1bjmIsFFm3x2bDZs37TMp79uWVqqcflGxfQEtBox545Kzi+HBDthFAvmJiVTU3DgiGW5Yzi7UOPSHTVefUOX2++tMduCMAhQcoqrdwl+/M3n8eV5/ur+aZ4/VWNDJ2b9VMJkU9GqKxp1ST30CAMIffA85zBJAVKUQI67sLUBrQWJJgU6xNoSJRDH2pFCbIiyx9iktmPmyqQWZOIkSS8WdBJBN7JEo4jJsMP3vXGRd97a43U3WNq9JsNRjcQE6O6BmrX8wSja5SHCP8PxzLcnwH/nw59Ba/NDdz1w6NePHz4xsa6hiI1FCkGXgEhKvvSIz9efq3NmeZF//D0DZiYShmGdTr+GpwJ8z8f3fIJIE/keQeSkSRS7VLpjHOGYKGWlJIFYg9bOSTDGBVzG2KyHMwW3A7gLXAW+5wBSC6FRM7TqCVOthLmpAeumV3hgb8Sf3Fln35Epdkz67NoIWzcGbN0Al13UoZ90eHjPBHXlMzetmGrBVGvE9GRCEHgucWVhMApY6sSs9C3tXsL55YCLNrZ46eXnufORPvtOTdAIY3wVIMQku7Yo/t5rF3jxZef5kztbPPzsFIs9j/UTCVONhEZNUq8pQl8Q+hLfd7GKUqT2oUO5xfWwGkMO9ESbdHVLrcXEkGgH7iSGKLHFPXauzDBxpNLPgJ3AcJhg4iGzjQ7v+d4l/q8f6NEIA1a6dUZRSBQHRLFHohXd/qkJv1777frUi4LDz3/6Dy++8u3ffgBfXmmjpPzR3/3wX/zqmdMnZ6cbgtg4lvAk+FLQlT4DKVkZefz6n/vsObTMW17Z49brumxYF9Ht1BmMQgI/IQx8RpFHGDh7LwN4HEuixC27cZJ62prU+iNlbomxFOB2ScqUucFTLmES+JZaYKjXElq1hOmJEZvWdTjX7vP+z/p86dEZlpabXDInuGi9YMv6gK3rBTs3D/GCFT52j8fhE012b5BMtySTTY2UI07NW0JPIgVYK4hij+3rOzyCptNXLHcs55bq7N5a43tubfPJrwYcPRfiezFC+BjbJE4kN+xcZvsPdPjS430++qUZHjvaZMu0YF1T06xpaoEg9AWB72IVT+ECZynymgyLu8iMxTkt2gE+A3minaRzYIdIu1qXKEseJYJBAt1E0k1gEBl0f8TWdR1edf0Kb31lnzfdaPBEg+WVGlESEEUBo9gjjj3ixHP/Vvvc7KwavO/ya79HDfudD9Ya/3tqyv+3AHx5pU3g+//gS1++51efe+659c3A4kvBKLF4ErwElHDvBVLSkzXakcfHvlbj7qe7XH95hx94bZ8339RmdipkMAwZjAJC3ydKfKLYywOlJFHEWpIkklgLkkSitUAbUWhtI8hVic0yoi5ZpNJkUeAbwkBTDxNa9RHrpnoM4gFffcby8a9N8vCzU0wHPldvsWyakWyYDdg8J9m6IeLiLcs8fXTAZ++bY1J5zE0KJpqCiUZMu6/5wtdrtALnDhkLg5HHW24Z8fmHXE1Mu2c4v+yxdX2Lt72sx8N7u+w5ENAME5QUDuSmwTByWv/vvbrN7k3n+djdHR58forjy3U2Tggma5ZGYKh5hsAHTwmUJE2QpbmFFOomlWrGFCtckgLdEQTEWhDrFNhaMEwE/UTQ07iYJ4po1vu87fVL/MBrO1y/W7NhxmMwaNLpBSlru/MVxR5RoojT4HY4knQO71sv/K//6mVXvtz0up0PN1t//SD/awX4wuIKSdxHSvGDd99z/3+64867ZtsrK9RC6Q6ytKjEpt42+AmEEmoSutKn7ytOdgJOP9TgoWd6fPKaLu949YA33DJkZiogGoWMEp8o9omTjBEUiVYkOk3Y6ALgxqbMbYqassyGVNLVcXieIfA1YRBTDyNa9QGaAV95XPKnd03x7JFJRByyY9qyacqybkoxNxOwcZ1k81zMRRs7nJjv8nufa5KM6mzdKphqeUw0YaIRI/yIzqDJVMsihMBaiBPJTKhITEI3Duj2Ncsdxan5Olde3OInvmuF9/1ZyLH5Jp6K0wvDI0lqDCPJxtmQGy7pcM3FPZ47doqPf63OnY9NcbpdpxkqWgE0fUvgWXwFnnTHXIhqdZ0BrHEXnTYCbSHRwvnnWhBplyQaaMFAwyCxJEmCiUfM1ga88TUrvOs1XV5xdcxk3SNKmiy3Q0ZR4Jg69tPYyCOOFVGSyspIMooU/WGbJx+7e30Uy/90+ZUvTs6cPvPH09N1avWpv5kA7/cHNBqNt9573yP/7Qtf/PJEp92mFiiihLRIShQgFwJPWjztipkCZahrQV+F9BOf86Maf/VQk3ue7fOSL/f4J9/b5YqLOqyfUkw0PMcOiU+SFCDXGcCNxFiJtU4S2DygTFP9yrog1ksIgwRfRXQGMfOdmP/y6RpHzk/z+J4prAmYrQvWr7OsmxTMTihmp3w2zEo2ziZsmeszO7XMl54wPPb8FNdsFUy3JK2GZKJhaNYjhD8iDD085f6+taC1ZDDyGAxjEiPoDgzdnmWp43N2cYKbL+vx0itX+NiXa9SXFJ6MHSCtR6IDotj1eK6bqvHiXT1efEmPR151mmPzkj+5c4rzKw1OLoYEStL0BUEmw6QLPHMiz6QKjskTK0gMxEYw0jBMIDIWdAJJjFQjNk8PuGa7Ox83XqGZqHskSZN2N2QUByQpsN0Km9mSMmVvWZGV2giGnQ5PP3HXbC2U/+3Sy65bHo0Gn/3rxORfG8APHzrItq0b1Yf/6M8ueW7Pvoml5RUC30NqC8KBW0iLTARKWFfrocHTAl9ZgsRS04KGEgyUoO+FDLTPYlTnzscmeeD5Ac1wxN9/U5utswk7Ng+4+aounnAtYkI4ueKykq5W2toSc2MR0qKE88wtCciE545IHt3rcfvDLZ473iJKGrQ8xVzdMtO0TDes88EnPGYmPWanBBtnEjbPDdg0t8w9z474wO3r2TTlMTcBE03FRFPQaiTUwxEP7FcMIw+/6UBlrSBKJDVPcd3uAQ89M+UKnwaalY7PwkrIuYVpfuLN5zi5sMhDT87hS0DEGMgBNIokvYHHdKvG1ESTl+7u86pr+vzAbfPsPWH4/MM1Ht5bZ//hJonwGI0U/Vih8tKHcuCZ5gSsITEWawy+0EwGETViXnp9j52bhmxdF/PuN4yoB5Jm3SeKGrS7QUlb+04yVu6yco9iJyUzQ8AK6HXbPP3kfRPz589ecuvr3qkOHTqod+265G8OwJ977nn8sBU8+cRjP9ys2V+Ph21aDR9ryjUlqe4VlkQKlMaxt7Z4iQs6fWMJtaWmBA0tGBkYap+B9unrGt2u5j99bBqbxGyYG3LlRUNmJxPe8eoBF62PiGOR6m0JJebO/740CCn41N11nj7URHgex043OHWuQa2umAwFU03LRM0wUYNWXTDZUEy0FNMtj9kpWDeVsGF2yJb1HbRd4VP3TTDoNbl0q2WioWg1JK26oVVL8P2ILz1UY9SX+OtdjWQmUZp1xRtfMuDeJwy9kaQ30HT6Hitdj7OLDa7Y2eIdr+jw+HMNji21UNIAcaqXfWKtGMUuMdMberR7Aa16g2Z9xBVbh9x02ZAT59scPbOC52ueOuzxya81EMoVrjE+f9AawIC1xJFm+4aEd716wLoJzWXbLRtmQSc+o6hFkvgsd3ySWBFrL42DHKAzgLuYSKa1Ps5rd6+dB59okeYnBFr7HDuxgldPfv3xxx/tX3nZjj88dOD5aNelV/7NAPjRY8cJgnO758+ffv9TTz0mA985Bom2SG3TEtc09Z6AUqC0JdYCL3E6MdYWP/3CoWepaUuiBZGxRFowMpKRlkTGJzYw35vga08bLJq/fNiNbMCa9J5l8VKLTGQViRKpFEnsIY2H70laIeycszR9QyM0NEJohIJmXdKqOzk02ZJMT8DsZMLc9IjNc100y/yXv6hx/zPr2TUL042UvRuSVj2hUY9oNgbU6w1CJVEy1eA4ORDHPsOBYDDSdEeK3tDQHRjXMtcMOHlukpdfOeKn3nmO3/ikx/GVECEM1sYYbYkTnyiWDEeujLU18GjWAhr1Go2wQS2MadUjbrg0IvBjbrw04d2v6eOpJE0CGYSwVVGeSjpjJEJIQl8BAcORx+Ky5+p2dBbzpPdEFjFQWriWgTtztvLEki7AnWQ+fPo4iiwPPfyI9H35fmmH9w2Gw2f/OrD5vwzw22//S6YmgvqBg4ffvm//AWGtwPekC2hk1pjg7spYEuEes0BTKxexe9r1PiZZRK/TqD6L7I0oXhtBZCSJlWjjEZsQndpe5VuepRTgCeHsSQW1uqXmWWpKE/oQelALLPVQUA8kjbqkUfMcwJuCqZZhZiJhdmrE+pkem9cv8oHbDR+9cwPbphTrWoaJpqLVUDQb0KhrWvWYM4uGQ2dCaoGrqYGs0k8wjDx2bjRsXDekMwwYDG3K4pKVrkerXqPVmOLdrznP4TNn+YPPbsGTHhaDNprEWOLEYxQpBpEriurXJI2hRz30qYeadtfFGIGvXcLM13jSNUpIqfPyCCHSupW0Bt+BXNA2aZWlcXGN1hJjJIkp4h0H0CzAz56XHiuALoPaPdfa5SwSI1BK8fxzz4h+b/j2jZt3HPrsZ/9y8Na3/q81Mv8vA3znFhGstM/+7Kh//mcDGUsbKLQBISVSWrS0JCnAtXG13FoLF+jpAsxapxk2k4Jcu5LP7L3ieVEp57xckQdKZc0NpJk8F1h50jiLUrkVw1cC37PON/YEtVBSCyT1UFGvKVp1SathmWxqploJMxMj1k33uWjDIg/vH/GxuzczXQvZ0DJMNIQDd13SrBmatYRWY8TD++CpvQ0umUtjEFGkzQcjxY2XWS69aMAjz07RH1kGQ01v4KUg92nU6tRrU3zfK5d4av95HtqzEazCGO3KYRNLEtu8nmQw8mgMLfWaohYYwsAnDDShZ/A8je+57LBSJi1icysrwiIo9FwRnLsSYpM5UiazX0tWbAZsI1K5kb3OsqXFXWfgTvMTmR2ptUUb58fPLw6ktqf/XXsYBEHY+BWyMtMXAuDRqC+jaPCLD3zto/9i2DsTNOo+SUL+5bQQ6Azc0roDolxCQWnrnpsM6K6B1mjy5zrLuNks82YxaSYuS1ZYayll3isrbpaqzhI6SqYZS0WpaMtl/8JAUQsV9VDQqAtadctEQzPZTJhqjZidHLB5bpmH9g34xT/awPGTU1y8zjDVgIm6ollXNGvQrGnqtZjAH9IeumIxX1mkLD6ZNo7h4iRgoh7TTwz9tM66P9R0+5J2XdHohtTCFjs2xvzyD7f59x+RfH3PBiwKYw1aGxKdECWGKFYMI8UglNRHilogCQNLGChCz+D7zu/3lE3rfNJVNZUpQthqg26a2rcpidi0lkWngNemeHRkJNNHUQA8e66L0oCc0EwK7IzItMkv2v2HTgRDHf70T/2jH/K7vf4vtJqN/+l0/v80wNvtDoNh/CuPP/rAPzt+7FTN9yQWl4aXGrR098QIlBQkKbC1sRhZgFtri8meG4FJr+QM3M6jBWus6yJPS0DLd8YAnsruNLB0EsXVlDu7zEtb0XxPEgZuAFAtdCMZ6qGlWTO0GpqJRsxkK2JmYsDmuRUe2tvn3//hOvYdn2H7jHNYWnVJsyEde9ctjZqmUYuJdcR//3ILqRS+tChR2ITGZku4z997/TJ3PBbRjUL6KcB7A0W3p2iHHrUgJPQnuGxbwn/4kUX+7R8KHnx2A8ZKtHFp9ThxhWajyDCquXLXMBTUfEEYuMxm4Nk8Y+spg1ROJmaxUQ7wIuUJpCSCyyU4tyUN5DMAp1MHTJ5cS8ktX3lFvjpXgJ0DPGPvLJNqEFJy+tSJ2v333ffP3/C6V4t+r/tzjWbr/1uAnz19BGvtSw/se7I+GiVpPYc7SDKVIVqCMqSPAi0FOk8PZ+DO5Id7z+S1EkX7lQO6cHUUGaizAz/2uTKAZzUYWSYvY2/Py+pOJL4vXf1GIKiFbuZJI9Q06w7cE82IqYkBc1NtHt7b5xc/PMNzx9axdVow2yxJk5pHs+bqV+q1hHoY4fsjTi1O4yuBkia15YogU2tJkig2TVuSJKYT19JOGcNgqOkOJfW+ohb4BH4N35vk8q0J/+EfzPNvPgQPPb8ebaQDuLbEiU6Z3DAKDbVIMgxULsF8H3zPSTRXp+KyyjLzxtPHNTDu5AppUgiRJ4dMmhzKssVal943heQ0OlvVbb4S5+SWnXtt8/cFAq0jHnr4sfqOHdtf+r+y48T/FMCfeOQOlIgajz/65UDoFUIfEBYjBFLYHNT51SzTk6qy146ptUf+JavAzmSIzYFuMzmSPb/AZ5OiKKJy2VORg1tJmTZKZPIEaj6EgaFes9RDp58b9ZiJRsRUc8C66TaPHRjybz84zTPH5tg8pZhrGibrglZN0qgpGnVBveYuDpfqj3hoj6A3DKgp0ovMafCsCUEbQZx4NGuKm6/q8vBzE/RjJ1MGI01/oOiGijBQBH6Q6ucprthm+LUfO8/P/D48uGc9sZHExqTN0kUP5iiQhIFx7O0XdfSeyu6kMqWQcTLN8q4F8iwpZDOAp4DXufPCmiuvSSWIMVWmNpbq60ySpuceBKfPLvOnH/9s8La3vKnxF5/+fP973v4d//sBfv7cMaZnt049/vXP/B62/8rATwBZFPDkV7NFW6e5TWnZcoxdXOVGibVZuwRokwO7aAom1d75yRCuoMg1LIu8yEjlAAeVVgz6HgQ+rhMoSAusQk09lRet+ojJ1oDpVocnD474tx+c5qmj69k45THXMEzWoVkTNOuKRl3RyNlbUwsTWo0h9zwVsNKuMT1dpMkzwJhUm8ZasX5W8ZoX9bjnUeO6aCJTArmk5ktqvofvBXheHSkNV2yz/OqPnednft/y4L71xMYjTisAXdmrY/Iwlnl1YeBJPC8twpIC5WXHhvzzZRdhJlVEVpVGkRAav5vSozFlDGQrbxXc5crO4j3yIDOvkbGgdULQGbxy38EjH/rhv/eOnzx06OjKrl3/Y6Ob/4cBPuieJhrM/0xv5fD3m2iBeuhjjEmjbZs/apXWHutUt6lS0GiKKz6THzqXIeTsXQkkx5k7RXqWkcu1t8wq6ArdnVUMegpXn+FZfN81FtcCQy3Q1GsJjVpMszai1RgyM9nm8f0jfvb31/Hk4Q2sn/JZ39BMNmwK7pS9a5J66Ni/FiY0wojEjOhGIUJJ/IzBcw0uUvZK/eLYpxkMXblAVGM6A/lQ0w8cg4eBdDXxXrYBreXqHZb3/eQ5/vXvGh7cu4HYeIy0INImZXFBLTaEviXwXe+ql8YdnnIlwkrK9PikXfnZY6kwK78wy7HOGLhzEioRUxncOYjLRLbmexT/Xfrvnji1yDPPH/n+ex984lAUxf/mfyuDD7tHCZtbtz//yO9fI5LjtBoWbXQKWpmD1GiRfnCRAt0WjG1E6UuRj0azWTBpi0CsYIoiK2nLa2bG2uWgMltu0w4dlQZTnpd2BqVFSFn1YM3XqW6OqddGTE/0mWx2eWhPws99YB1PHN7A3KTHXF0zWbO0UnDXa85OzMBdDzW1IGGiGbHnqOXux5sEUuIrkwZxhUeRLd+xViTG49YbYi65uMeh43XmGhR9jiNNf5iysKfwPD+dB+O866u2w6/9+AL/5vcN9z03xzCuu2RYYmmkNdyhjwO5l61eJu9tlUrnK5ySogRwUQI5q/RKAXJbBXheoVisvGutzGvFWHrV8zQhlkie3X8G/85Hr/m/f+HHtz9/4OSxKy/d+tcP8H7nFMKf2rF05r7flPb8WwPVhlpIkljHRimIjQYtZRpt27xVSmfPrc1BXV7SMn/Y5p72mEuyyi1JmXsc3MIiVWYLpjUvKmVtzxJ4Bt83hL4hDBJqQUItjGjURsxM9lnu9rn3Wfi1P93I0wfXsS4F91Td0qoLmjWRe+XOeTGOvQMH8Ho4ItKa4aBGTbmLTApRqeTLEiku0PSclvdGjCLLIBYlgBuCQBP4Hr4v3VQB6ecAR8C1OwW/9pPL/Kc/S3hw7yyn2xMMm5IpbWklllo6cSD0ber9Z06Kzdk7kyoZwPPPm37oMs5zhZielGxVLcBdlZSumrME9nGg25JrVrKD85yIFnQ7A46eWn7rZ7/4df2GV137zw8ePX30kh2b/3oBPuofRI0aN/WXn337qPM8YdBACI2SlsQYlJY5Y+sSsE3ZSsqkSRqUuOXapgdAlA5MVfMVt6oqzE6CG/eQsXfRjV8MB3Jlsb5n0jETOgd3GKTgnukxvzzgV/97g89+fY6F3jRzk5K5WgrumtPdjTSwrIeSRmhTBnfauxZGQMRdTwYsxwGzIZV6bER1hdLaNT9MhB6vvr7PQ/siunHIZN6xbghGrlY98BzAPeUasoV0CRosXL5N8hv/pMPnHxrwKx/ewMmFaQZTHlOBoJUYGgmEsRu9HCg30MjPAk0p8iA4eywH6uULU4i8VyQ/PzAmIcvAtlVNnYM/T9KV8xtUgJ6BO9FghOKBxw+yecvGt09NNP97uzs4+tfK4P1BFxU0Lx3M3/FPdf8hgkAgEgNoBygjnbedZrlyIBuBtsVrW9baOahTjxVb2FDjrF2WJZQKuKDUje+eqwzgyrpyXC/r7XT9nYGvCfyEWhATBjGt+gDP63PPU5oPfWGC2+9fT2QmWD8hWFdzssRZgJlPrtK7SJm7zN4xnjfigeen6EcemxrZ5xln8CzIlsSJouYrXnrFgMQ4gA9i4brWs871kXHBoZfOhkntPZEm1y2CdVOC77+tRys8zYe/MODe52c5G9fp1yQTiaXpWQdyL41DlE3jEpuCPDuGoqgdlyApWHx8R8FcqmQjKhjX5uXuoaL2PGN0vUZwqo2L2XSpVCPSAiN9Pnv389x4/aX/9N3f/fInBoPugXr9m3vj3xTgeriP//65vyIIpzevrz39qt3T5/D9KSBJgSVRWjmPO03U6BJ7F5KkYO+KHMm0NhnQy8AuWQ9l+0rYMWmSZeVcxaAb7WbSmu8U3MrVYoR+TBDE1PyIRmNIEPT50zs93vvH6zk0P4Mf1tjYEsyEmonQ0gyhmXbY10OX7aylCSFXv6LTlcDJk4WOphcFBEoRSJsHmJS+SnZhZ7UbUeJT94dsnBqw0m8xiEU6bs3FCr6vU5tPpXancgCvBK6u8vGtr+hx45Xz/NqfDPnol+ZYSpr0Q5+mL5nwXA1O6EGgyJshvCzpk8+hEXkWOEsAlUmlKlbKQGfNFThnc1MFfJnFjcmSSCl7p8cnTpsvEiSnzy1z5txjrzp1bGHz+aWVA48+d4wbr9r+vwZwYww/+LbbdrQXnvrA2cNPYQmRwgUqpODS0qY2oEzrRNJsl61KFGuK+oYseMyvdkRJkogxaZKB2xZskmbfZBng6cgJWWFunYI8IfCcJAmDEaE/4Oi5hD/4fJPP3DfL4XPTTDR8ZmowHWpaoU1T7xm4ZQpumSeFaqn2DgN34Uw0R3z6AY8Dx+rU0glcebsYBcrzMQ7W6fA48bh8O3znjV0+9MVZeg2PiXT2SBilcYMyeJ5Mx9ZRArlfolR3Di5aJ/m5v9vnmp0n+f3bZzh8dpKlpE7f92gqQSMFeiCtu3BSlylf/bLjmtmHOH1eZDrtap88I6asdCL3zVcDPe8iKtcSZcGlzTKkRWFdnP5+zff5wKeOsXHjDR94+Ytf8aaFpfY3lSrfEODWJoDi/KlHtq6cP7wrHsb4DR8pDCgQ0qCFQlqDUhKtM7tQllg7a/gVOaAz8Nsye1uRs0DBChlt24oOzIAt8jLcDOAmdU0y9tb4XuI6d7yEMBwReCO6OuL9nwj48Oc3cmpxCqPqzEwqZgLLZGBopMzdyNP3Mq1TSaVJ6p3n4A5c9nIURxw4GdKLQqbD1MXJkk6ZK5FlYW2pJiX2mGh67NwaocIh3ajFIBDUY8soA7in00SNcj62zEqA1wpeFXOTfX7irX3efutZPvz5Dn/wqVkWBk0GXo2ap2h4grqyhIl1bC6dVPFkUd6QZTlXMTlryJVxh4UxJs9kSInICpAXbppOgZ5kLXRpp5G2uH2UFro88+TeXRsnG1vfcNsNR7s9Tat54a2mviHAzegY0m/NTTT0JxZ79/thzaKUdsCyBmtdGjorp1QyqzrLgF5ibJMxdwnYKeALxhbYNT+JLdmBNgd2RZ7kw4K0A7in8ZQm8GNqQUTgR7SHEQ88LfnTOyf41H2zDHWLIAiYDQRTgaEZWBqhpREU4K6FkjCUhKk0cYmh1JlIAR74LvN55Izl3scaRLFP2LSrAsz8uOYa3BFAFCt83+M1N3b52Fd67DvZZFBzoxlGviVIwI8NfuSIREmRyghZDPehOJ7O1ZI0Qo8NUwP+9ff1ueKiER+9s8WjeyaZHzQZqgDf96h5grqEMBuwlNmrMq0rEpRAXq1ZGS/OKjN6RlDjjlj2utDeogC5LUCtrSBJn8fpv6MECOnzyTuf9m995Y2fOHl2+UVLK735/2kGf/7URXJl8dGbRksfn7xh2wnipOE6ZcgCRYmRrj1MpQMsXZApVwG7LEvyewbsVKKUGbxS+ON6dByT5yllk5d7Ot1t8ZR2AFc6lyOeF9Puxdz/rOCPvjjBnY9PstRuIes1WnXFlG+ZCAwN39IILPWAlLUdc9dDSS1Q1AJBLSCt0DMpuA2h7/S38kbsPwmn2jWXWEn1bTVxUtTPuD5IB/LESKLIY8OE4NJtA545ntCPfUbpjO8gwoFPZZN1s0QNyLE6jcKtSuWPdvXh73rNgDe8ZJmvPtHlI1+a4NE9Eyx2G7RlQC/wCJQgkIJQ4no4pdulToniIlVZ6+EaDL6qfmWcyUuEZihrcJEzeRnUiXXATnKWdxdW11rmOx0efOSTky+65E03XXPZtV/kGwwP+oYAPzt/PDw7H/zu7354ufk7/2LExZs0cexjjEqZWqYsnT63EpUB31YZ21jhrmiT6dASwEsHpMILFWliKwX6TpaYVHMblNRuIH7mZsiY+W7CPY95fOH+Fp+9d5LznSaiVsNv+Ux4MOm7Tp66Tyo7oB6I9C7TktNUdweCMGPvDOBeQhAk1IIIa2Puejzk2Jk662YEvjSpjhVFo2+J7WzJQtVaMRj5bN8geM31fT7z9Yhe7DOIBTXf9asG6WSpYpVSuV/t5qhTHFdbnBOd3pPEox6OeNdtA1534yJ/eV+Xz9/f4J6nW5xvNxiIgEHg4fkKTwjXQiglvrCp1LIoREkaVu3DNci84oIVzJ0RZAFqbcmBnIyB2l0ZrlvLWo2NI3ZvXuZ7Xzrf3Dz7ht81wxNXAIP/KYA/+uRzLMx3ef6JhL98oMbP/lAH2UnQ2k9HMsi8ydfmnezZuIb0QGc7EFvc75VPAqQrwrgwEdWAsgRsIUxqB7pZhpkcCbyYWi1mONLsOwVHTys+/uVJvvjoBOeXm+DX8CZ8GkrS8i0tz1D3LXUfar4Dd813Mwldmaks3UX6c5uC3OQgD3zXnnbotOGZIyH4frrM21KKXlRQUA7CtM5qpt0456t3jrhya4+9pxoMaoJGIghjy0iRWnsmZe/MTcksyEKr5D57btuqdPqAzzDyqddH/NAbR7zl5hXueKzHn3+lwdHTNfaeahCthCShx9DzkMpN9VWAlz5mTJ5LF4rgf9XNFq5RBmpD6pbkz4u7sRaLKUS71WkWMAE0mAR6Md/7ig4Xb41ZWTw4VZ+76e8Mh/ZDtdpaH+AbAHzQPSFGo8E//fSnf2/dD373PNfsihlFFr8WEaoEE0miSKGNwiIrLJ4xSMHepREOiFzmFI9j8M4i9VzzuaSGkyQm3eVBE4ZukmqiNWcX4ctf8zh0ss7dD9c5tVzn0OkmhCGq4VHzFE3P0vSMcxF8Nzi/5rtxbQ7E2V2md5UCnFRzp+D2NaHv2NtdWBFH5mHP0Qa+rNqDuUShqAfPHYXMSTFpX2Pic+X2AZeu7/Ps4YR+4tOKBSMPgsTNBFQlgEspXOdUiclh3H4TeTCb9VHG2mfkB0zUI/7e60e84poOp5Y73PVIwOETIXc83uD0Yg098DHSIw4UQkq3UqRd+ZI04wm5bGFsAc7YuxxwFpo8c1vSd+0YsK1JQW1cT1tsEF6CFyY8fVjxgdsVUXJk6t3f1/upwI8+vBpF3wTg/vAv8Gzy/W+/9Znm6162xIf+oskff2aWV98y5ModMZtnLJfsGBFaiY5lSbKUxzbIkhRJgW0LiZIdkbKjmvvcFeYuSRGl8UNNrC2HTwieOaz48sMNnj0S8PyROp1RyCgKwQ9QEz6hEjQUNDxDveQDh15Wp5GVzbq68DCVJUGgCAKZXgC20N6+dplF3+n8WhBjTcS5JcnIhnieJJAWr2SzjRF4DnJtq/2OUeIj8JibiZBqSC/26XvCOR1xUTDmKVPJQMrMpAbIhh1RSMWstSwbjORrlY+f6I8CNk5HXLQh5oaLRwyiAX//SJtnjwZ8+aEazxypcfh4jThRECqsVCAkWpayQeVk/lgTc1WcZz5w9mhKj2N3YyA2eGh27YzZMpNw+c6I19wy5Jn9Hv/5w9OM4tM8f/Z2PP/CQmTNn7z3Dz7Pr39yQdne18TCkmG+O81n7myy1JV85YkGk77hoq0xV18e8fobR7z6ugisa4uqN0knSUkwgiR2gM8CyQqDl4+GdYAmnV/iexaEQUhLHFn6Q8foR09K/uzOkH6sePL5GgdPhCz0AkY6AC8A5aMmFIEU1BU0lKWmcOPMVFp4pBxrB75wSY8yuH1JkMqSMIAwIHVNXMrc9wyBn6QZ0Zh6LeL8subLD7Zod0OmJwVe6sVnRV9ijdUzt85yLS4ZjRTrZhVvuHnIHY8OON5uMvClkyke+InFjzPPOvXYpXZ2IeVZJzL/G8Z6lZIJrSWBVmhPkfhu7EMc+85K9WOaQcwrrk546RUj3vaqIftPSJ7a4zOIFB/9coMjZ30Qkv7AQ0cqK9/EetnSO2YZldO3FYAD1iC0RRjrNiGwhnpT4/sGYQ2vvn7E628cctVlMdu3Jkz6lnVTltffINkxa1jq9pnZKMSbXn6j+p1//rGkPvf93xrABWDVuvf/wWda1x4/uxkrrJtwFFrme5Z5YziypHnwGcMnvqyZm0mwxnL97oh3vXaY99rNTRquuzqiWUtXHCvyHJhY469mw3nafcFTT3ssdiT1muThPT6fu6/GMFYMY8WZswFGeMTWxwgfPA8RenhSEihBTVpqKbBDZQmVdTXgXur5egVzB1lfZg5ulfZoipy9A98QBFmBls7ZOwhilIr42hOKz3y9hQo8Z7dV9PeFGTzzwrXOHA/FcOjzllsGfPaBDh+9a5JeUqOZ6nA/0+FxlpSxebeQKHbuSo+tLGn9EsBNOtrBc0zue4rE8/ASZyA4J8oN0p+uJdxyWcLNl8VYMeIdt/UZxi51/lf3hTyyJ6AeChY6iqeeDej0ZaqSBBcU5fnOE6418LrrYtZNadf0oC3veu2A6y6NsQbmZgwzUxYPt1IYLYkGgpYn+Ltvshg9wMjFa/2pqfdbK37iW2LwZNRBBa2J3/zAZy4Tnq90MEmS6SFrQLlHYzUjYzjXtpxbcUNj9h9v8LmvuSvRasvktOGmayNadVf/u2Z6snxZpa7DSk/x6DMBnbZCetLNRLGeYybhucEq0gPpIaXEl8KBWVpCaQikA0KgIFDFjD4HclE0PHiuESBrPC6D2zF8WlbrZwyuS/eE0IuxNuLUQkA0qhFOSoI07a3SqrxKFlNQkFfJOs27040iin2mW4pt6yICMWSQhAwSQd1zQzCzGpIsoaVkubxV5n/L/Y006DemyJ4ak2edM2mUJDrNG6h0LntCnGhU7HIJntJImbB1nUlXDMMVFw2J7ADpGdptwaPPeKz0JSpXLNWgunKm02KsZs3w0mtjJqcNNnEre125Y+c+u4eJJZEtuXV5rKeIY49B1FKekZdNXvTOicWlUWd2JvzGAN93dAHPW3nfyWNHbvPjHtM1j5VEERtvtU5S5UE7lsQa2pmmUpbOiuXM15qlr7gWwMupsfTkCIHJtlwgrTkVqghypEytrAzUadpZkm7cmvnGpUcv7aRXpFvvkYPbtXUpghTcgUdeYuoYPGVxzxCk2VHfjwnDmBMLhj+5owlekE7LLSV4KuCrElnGrtmQUAc2N1gnin3e/YYBf3nPgOfPtehpn0biNqX1097XvBNHZTmBUrCXHcs8NS5LBV7Z3eS1MJ6n8LWbl+KnQFeySJq5uvH0uTDp4CCNJyzCatY1DN/xcgNCpzITENn+GWuc87zGSIBRmNjL47QklsRUTYrCrFA50BPtMYoCFlcMUfvUbVevP/E+afQ/+qYM/v6P3omUInjw6XN0Y4kSUJeOhRKrsFal1WPjmsqMvbagLNovgXtNfGfslgG8GrwIKfMWNCXAFy6tHApXLehL99rNHM+aakuFRB6lOSikO7MVXfUFwGUuW8LA5i1tQWBKg3MS/JS9Ay9GyohjZwXznRrC8wglFXkiy1+rdLrL0qECvNTpiBKf2YkR2zcO2Ht2xEB7DDWEWuBri5+kOjwhd5aKFLqqdCpksZ2zbm3RdJJLI4OnDVpJlJdtX67SYjWNVCZdKUxhzaYgF9nfxk3JEmmderYbdf4JhK18/wzgRXKveKw4bXZsJcr9feHcOyto1GJqYg+Lpz4Z2DUUwiqA+8kzKCVY7MUsjaQLboRFqLRTGhf9W0RRTAN5kU1VhnwzWULalVMqrBcCSZEidlOp3GfwRQraVAJkz/P3UrIvSkHJG2wDJRzYK+CW7jHIgJ4Fnym4s+4fz+QSxfecPg2CmISYzz9Q59x8HX9SEZRrOMoOCmOKtJy6tmIsCFQMR26C7Ztf1uOBp4d0khp9z6OeGKI0na5kURCVFZwJYSg6h7JAM6vazKzDdKaKJa3dF3hGkCiBp2W6i52r5UlSoBfJNJMn2Mobh2W5CSHL4E5t3nyvGFvi86q5UAF69pnzLHfhwtmxxKEQlmZjSHsQ88CTXr7x1gUB/r4P30Gj3nj5l796+42L3UUMyu1AJsHDuhUl/QB5upXSe2km0rA2WVdwnd2zZIFwm3aLNJHgQW61qTRl7OabFBpXZcCWbgRzNgqhDOx8DorC9SOuBfAs4Mx0t5fJEpvq7WoteeDHBH7E2bbh8YN18AI3AlraPD2fMzhVFs+Yq/CBy32pMvfE49jn+ktGzE4NaC836CeKhgI/cd9FpcOTVFwGOA7k+R+SY5WaIu2bTIvhlEEbgW8EWkm0MmglSFKQl4vXsnIImYG8BOqsZEJgUpCngM4z0UXSroKM0iSyDOQVgKe/U/kO+e+JPLs9Ue9zw2XxjZfuftvLB/O33V+fe9faADdJQjLqf8ephdZ1ve4yk03HnKp6wRUlkZRKXVPAZ79jWQ1ykdonZTMpu8qzrFgBDpsz+HgJp5fVRqQ14Fmpp2suzjpVnCxRefdKAeys+daxd6q5PXK9nVmCjrELcPt5dWKMIOb2+0IeeLaFDD0CKdz87byCsGijKyr+xrOZRZ2OyWcAuuTZYOhz81UDvvMVXf7g9haRDulpSU1bRuk2MF55xRAmlXNm7IK6EJOD8WTefZWBWyuJUsYxupTpaAlTKkUu1wDZAuSVbHPG5NkiXZKp42ULZRbPXtrSpWCrwC7XKrl/18dXCesng+v6g+F3WGvvX5PB9x86ycxU8w0f/LOv/t320gLrmtKNHBOZ4VRloOIkFVdlWY2Mh5XjdQtlcGcAkCVQSIqah/Jog4y53RYk2WtSBidvw6qweNoN46squN04hTHmTns2g7S9zfeyhoOkdI+JiPnzuybQNkTl2ctygFn0NWbORkWDM9auZ6Rr1tZZsOkh8HnXq/v898+PWDExA11joAV+Qs7iMp25nhWdObtwvPZIUliTogRygfZsPgVBK4P2LMo4uaKVRWlXweiyx7I6TDWdUFuuE8pqVfKmlBzoNj/xawO8QoWlGiWx5u9kANfGzSDvR10m1PDvzm79zrv7nRN3NCa2VQE+jGJ6g+iSdqe3q9fp0AqDCvjGP5Fd4wN+M1mSATxn8pI8yf/WWHlmrsXHNGcG+vJsD6VEocXTirvKsJsU2J4ShZOS24Gu4941JtuUuYsA0yuxd+hHPH5QcuB0Dat8lJQE0uCN12mUBPi4i5Ld804nI0p+tQN5nPjs2hxz5cU9vr6/TqwCBomgJsHXFi/bTECkXThJqsORTi6MkVLB4qIkjYpRHtlMSE+ZFNxpO5uyJXBntUA2LRPImJx89RAlcCOyiVkXYO8L3CqSZZw1yxeKsEih0EmfetTbZc3wEmuiO7JfywF+7PQKE80RC+0RUrhyz/Ei9wtdcasChwt85PzKK/2bYhzoJXCrvOa7sN0KySJc97wowO2CTJF3i3s5uGUF4OXhP67bnhzYebYyZ25N4LnEjusKirHEfPKuBouLdUToOd+9fBGO16CUaadkEWbTBMp13Lk3bZzPu25G8s7XdHn84AQjXaOvAuraafGsnFVJUnBna4VJPfGs+gOglE3O/mY+x6bUD5mOAHEjrtO7sXliyW2rnmpwme13lEkTWTRHjDP4WNNKke5bXWiX/WyVIhirNs2kj8zLeLuY6BxGF8WFOcB/+w8+i1KShcUVJupuWOO3Btm1X611y/z/Qp6MPZYBXWbxynixgrFlmcGVKLF4JlckyqsCPPDSAUB+tnVgmuH0LH6eijfpc125e8p17jx/DD5xZ4uRDFBSpdnL6oU4nsEUFzh2uZNSclNMyuCJ9gi1xztfP+SPvtjn6cN1YuXTl5JAm9Q9EkhtS8fJuvYyUV5TTfq3qvsWlZlcG/ByC9FN/FVpSYDSthjWmc9lEfkFnYzp8Uw+VBskitmHZXB+s9v4SOw1cSUsUoQsz++n3z2bWtYlgB86eoqLt29u/F//7nd2Pr5yHhukmnct2K5hZ4/LFdY6qaXlqVItyOqU9mqJInLgjI9DliXGzoLMbGqT52WbvKbaW42BO0vf+1ljsnEzQ/IWsaynM0nvMcqPOHDKoxsFoLxUntix8tjxC7d6MKoDjca88LQbp0j8eDR9wWVbhjx9IEKbkIEJqGlXs+2V9j2KMxbP2dKQBZkFk4uSr+yw4OWDTd172WxJz5B2EFmkKSYEZNO1dNbdnxsARXCZB55j5/tC4K6y+tqypOyhr4abJNKKSX/Lzqtv/qlGZ+Wf9SemtjiAnzhxhqWlldfv3Dr7M088MaIZpmMc1tBAFWmyRlBZwnNF2pTZO/tCApfPKQOhAHbRx6hKrKgqQzUzkFPUSKsSqPPnaZJHkXrhDtwOwMVQIL8sT8rsrdK+ziBiqWv4r3/RYnFQQ4S+kyfSVlaVYnDONxZulWkC2ZyYnMGdo5IkHhMNj/d8T5evPj7B4iggkh4DKQnSHspi5EPK4OV6emHyMlqLScFt0hLnsrMiUga3eZCegV1JkTK4k0Q6d1HIZUqhw4t2wkKmZIFnAd/KsREXXuHGcWcBkSWAsp9lgfNAM7l+48/Mn9l7fxwP/hJSBn/62eephQEnjh/HlwnKD9C6PLVodb7mm+Vv1vrg1cGOY6xNkdZ2c/LGJUp1ME0ObCmQqhg/pkqg9qTESyWJlwM809wmDyp9z+Tg9r2s/qLK3r6KCYKIj9/l89yhOkgfKSVhVhpbsjbzPeLTL3nBasLSsS26ywuQJ0ammzz5XL2rz1tf0eGPvljDeCEDGRBKkSd9lBTEpYBunMlFmcnzDGF1yoFRoKxbFVwbIvlsR8fqgmKsRDGLpphM6/o4hazKk9xZqWCgeP2t3KokK0rJsuK4jUYJZ8+cIkoCdOI2hvAAJlshtTCg1fSpBQIhQYtspIPNExP5lZSuCxcEefYlSm6JezsrzLerBspUPOM8sBQFm+cM+c0ALguAq1INtZfWpfjkUsRXhVvil4YDFZrbsbfvualVy23DX32txUI7hFrqnohSMHYBiUK5IaB0tta07fKpBK56zrkpHtMTiu+6rc9nHxiy2AuJlMdAy9SeFKl7I4pmbDm+2Dv2zt4yOZtn4xwEXuasqPR5OvbapHspZce9DHIhRan7PhvimUqTih4XY3JFVAEuLGJNvW3HPPIxfzwbJmUkw8gwjH1iE5Jo9994Tz+7n9nZ6R33P/DITx07cYYg8LCANFmUL4r9b+xqubJqaSn73BnGyyc7Y+oxBq+wd+VgZd3UZWBXZ3+XO1zccHeq4M52NsiYW5WYexWDZ+MmipETnnKZyyNHBfuP1TCECOnlzblF9WA5fhAlV6P48uUEWXHCREmeiNzJyNvNtAfW4/LtEbs2DVncW8fqwLG4djLFK7k4BXuWC72yeiFZWt5TNreFT25kMaekHNso4y4ak+7ckSe0ZEFGObiNSGepZJpcjEmVauOyk1Mix804W2arjaC66mUSS6cDXw0+vc5ZLt61+6d27X75kwvnDhz1rDXEUbTRGPuG8/OLNOqhSz4IMMKVNcqSRMl1z4XWkrLOzh7F6sd8VghVkFfliSg5E6IUbBaAdgxOOgq47IOX7+mW1qoM7hLI0/3q/bQ0NGNvlb72vBilYj7/9RYHFuoQFPLEL1mXlQuW1eMiVnFTzp7lgDPLaFa1eBR5XLwu4s0393nk+QYYn0Q7Le7rNLurq1KpYM6yJZeC3NrKrJr8uUyfy3RVkdndHXudrhhSpKxushXW5sRUJHzKz1OWFqIkUzOZUgK3uPCxKohVVKVdmiwDQb+3hNbmDcNhtDFJzFEv006egtBzMzessAiTAsxS0ou2AvK1wL0a2GK17h4DdfZ6PEDLAC3WAHbO5kqUmnBL4E7nExbbdrAa2F4xICgf8eaZFOSJkycqpt6I+Po+xV9+rclgGEDDw5PClTGUqwfHPn/5O6950qCqv8csw7IvHiceky2Pt9065IsP9Hl4X4Bt+gx0SCDILzSV//1CB5e95QzklWUfU1xgyrG5lk6PmxJrZ0G9ybY+MaKkv0Up0K3GUIXuLuIC915ZptgLHqcqyEU1dskGu6bzLuNYkiQi3xPIM0ajdYIUhlrofGOTVg3KbEro2JXzzW7lD5p5nxX2Li2dFeYee55LEVGAWqrS7g1KpLUpBbgLkGdlsxbPK0Yoe+kmTJ6qAt3P2drdlXIBZhBExJHmiw82eP54A3wfIVUKqnRuSCm4FLJ6Usddo5yFMtZM3SpbymSabDJBqsUzuzCKPK64KOGNL+vx1NE6oyRAS5+BUQSasc+SeeGMMbh7tGOfBZVdbAajhBv/YcFKgVVuFc/0eL6iSpCmNMvQFKuGHAf4eFxSPialxzxuuwAhFLUpY0kyne0/KhlGlihKiCKN9+D9d+J7HotLbSaaAVECSXZdG5FN6GW81vYbEHgJ4CWt9Q2YexXA5XiAWexAUEiTklWYM3YG8GJyai5RUuZ2jG1zpvbyx+K5nwaXnooJg4hnjwnueKBBfxBA03eZ3rySMQt+18hilr5n+QhltSgOXWllYWXJLRdfFQVYUezTakW88ZYRn71nyFOHQ/AChkYSpFpcpU1XZWkgNLk8QI9lEFXBhp6ikC7SsXnGjlmQn0lWaYpEmzBlNyUlL1PKMI6ZB6sAXsbMBcBdZfGMHIqMsNvzSDCKfO5/8EkefvwA1mq80eC8K7SJNUpJhDaFdpRl7SP4RuQ97nnbtQLLikxZg8VlCexlzZ2D3OntcjZTqbTCMK0odO1c6XOvPB98DNzp3c+m0KYF/p5K3N2L8f2YxGpuv7/Ovc/WoeaBdA3NWZVlObjMDlt+L7+4wMmqTmMVpaZy56hkk8IyoI+GPq+6us+bX97nuWM1ksTHCsVAePia/DMJXbB48RHWZvKyBFUqtQylY3P3WiCNyHV47vdnjJ6ttimD50M7x8BdCTgrIC8Cz7XwNM6slUK+8gDX9GJcWVoiMctOej9zMLsk3HbDxqT/oXT6u3LZfCPmLkUI45q7eO5+LssAL7V1lXcWqAC7IlXKafrSPd2xoAB66e4Vm6BmgPZLoM6cE+eYuEelYgI/5smjkk/c1QICkD5CqLyLSKUbqcoxdsq+T3E8xBjAihNV0eGmpMEzZ0Clox/yfeI9rPV416sHfPnBIY8ecpMEYqPoa5EWfKWg05kdV6oDqZzJ1P5VVIHuiD099RYj0/18sqA4094yZXPhHvNzaEoDO2Xp4q8kwGwVF+PmxDcA+IWwqJSb+rtpvaBZd6zuXbItxvcE5xcTDh83hEE6UKZ8FckL/bXxg1Zl7OIKzUBemrI6JksKqSLSZEFhPWUAz+fklUGetqYVm03ZFOzZAPwC3BXWLj1mjbWZVFEqwfcTYp1w98N1njlYB98H6YLLQNjS5NhyYCVWBVZijaNUzsIVsU3malDV4mkrm1Gpo6I9RpHPVbuGvOomx+ID7Vh8JAKGBjwtisBPZ3ahA1QhUdwHKLtjFetSglUWaQXK4rKfVrgsogBpRSFVSkFlwd7peTXlC780132NPIg7SrYCqG8Sd1b+DV9ZGqHh3IpP+6zvpp4dXdB4SrCyoukPDb4nK+5FGbRrA7v6O8XvZpZQ+kVKX0ysAnZ65WeATj3kSv2JIN97J9+9OGu+rTQ8FFuXKDUG7tJQ/Nw9URrllQCeSpTAizlwRvCRL7YYxT40/FSekLemqfIuwWXnpLKEXeAs2SrQyzKlvDmAsWtpcY9mKPnBN/a5/d4m+065i08bRV8rV2Wo0+QPwulvnY7lyOFcPCtLFchsYXfByVSjS2Ox0p0jK4UDuBFFrJQxuSkcsfEAs7xXUXVltxUSLCP7G2OvuHAU7ny06hqv3mNGu1Je7we++/s3PPTE/p///J6vM90oA6tIVKz1h8TYi2pfpfu/CqCz36uw9Rqvc5AXbD1eZCVLtR8qZ+8SsGUWXFbBnc32K/R2+lyaQnunwWVkEz59V5MnD9Rdu4/wUMJlLr20BrvcXFyWKeUL+hveKhq8sArzcXfGOGBXQC4xxiMa+lx/6YDveXWP3/rTgIHxwHjEQjIwLkaQJtXgupCFjDkrNtcjLuDFuu9llVtVlAWbet/WFuDPwC2tyO3kyvmzqwNLM766pcdHlol0rcAz98vXALoAiUAo5/hFiWDjjGbTjpf+fGv6ih/3Tp46OeXZ/ps2TCSEoZ9ukVEOCgsGvtBVVAC7ekHk75Wey28A8nypKwOnUgduK9o7B3pJkqiS9lb5Tg+ljaiUHZMkWaWgzsHtezH7T0s+9tUGbv6KY++8cz/7+4LKeGFZ+t7lQFOUX+SyZEz3mnJtSDFXMBtgqtO5j0YrtEq1uPb4vtf0+czdDfac9EFGWCEZah+PtF4kO9Y6pWedJX4y5i5Jp6wsAzcbK/tsWS5EWmcdS1uAWFr3N6xJ/XHj5I2prM5VsI9LE8PYe+O4KpPnGgB3Ccl0zqMVdHoWHYzeNNE7OeVJkRD4hukJD6lUAdzKHxKr/vFx14TyVZh/0OyDfQNZUtaxsvq8wuLCloLL0vOcsW3O4moM3G4iq0kfnR2olEFlfrdKUDJBpQyuVcLn7m+y50ChvaWQzvvOO2hY8wQKxl+XhVyZj7Ln1QbkiidemkjlGeFqU2SRwo9ijysuGfGWl/c49LGQSCsQHlp4DITA06l9RxboZo6KKH0KW4TAqV6yVqBsyug4aZKzeXYXtkjxCzDSAd9kMkWWmXvcTVkb7FViXEslrI3BHGcJEAmikWRyRaNFhFeveTRqimbdLcPZFKRvxRIs5MiYRKEKZBj/gqsTAWs3N1RZO3udsXYG9oy5c6CrMpMXultlQaQsSRNZDM1XSuP7MYfPKH7n0xMMpU82Qavomk9XkHINdFmSVA7OhW95hWaeJncHvTJT3ZQ1uKjUp2jjkWifUCf8o7f3+Iu7Gxw67YGKU6niMxAClcmTVI/nweYYyDNv3gJeuakcgbSpRMGmrJ154qbC5jb9O0YKhC1Wj9VmwmrmLoN9bZnyzSVftvINhoJBBLVY4GWTnuo1mU4Mch0dlX3hL3QllcFN9QrNWH9VUietcluLAcvAFmOsnSVSquA2hUSRVQb3Kv52prPL+rt0l47FfS+iExn+4LMTnDofgvJSa1Cm8sRWfO/8efm7V1iqun3gmkCnJFXyxoNyj2aWwpeVmexaK7RU6MRjy9yIH3trl1/7SEA7dlOPrJWMjHK2oc4+hwUtKGzDAuTF/7ufqPQqTOc3FY+ycHyktAWD29K5S/W3XUN7r7ZSC7CXg/TyMVuLUMsHMDt+2kCSWAZDTRQb4sTieensvnrofoFYuDGEpeWo8u+uAvja2coKwEvgHgfDOHNnwC5Y25aCTZsHllnja+Z/50zumZTRTS5NnBwxJamSMXaSP3oqxgtjPnV7yAc+OcHI+E6eCJXLk7ypeMwSq+juXJJVTtEFWbw4SaWMZg76LGVv3b5HplRKm7oqifGoeQk/8Y4e+48FfPhzTouDQgvJ0LjeTanJGbwowMpOVpG6L9uVDtSFZLE2ZXNRFIo50nGlrraS+HEyJq9LT/FgyiRXwYyo4qeEnTFjZc3jaCwk2hLFhlGkiRNDog3e7GSCZxNmJzVLXY9YZ0FFte7kgnqo/AHHAS2qH/aCrWmytIxWJIotBZnpFt3lLQNVUeyklClJlQzMJSaXRXVgrrvzRzdrcGkZ/uKrDZZHGbgdwH3ptLcnqvKksupkdtlaJ6R08MpaOzs5mVVYqeob33rRjNWJS4kyCmM8Eu0xGWje/to+n7m/wWJXgYzBKGKcHh+vLqyC5cJM7vJARVIoq0/Jgk2bsngO6NQnN3b1OZdZqax1q4nJ8y3jO3qU4rmyXLkAXxSFV5Bow1JHs9i2qMDiGdnHyD6JGRHHIcZketquvnrWkCTlR1m64gSsakerfOEM9LKqYyvb15VrPPLAstxgUA0qs+E0Bbh1JcDMgsxsnxuvxN5+I+H2r9V4+Jk6pqS9XVNDJk+q9SZ5a1aJvSsWYelna9NPyp4lq7C8DXa5GcKWg04rUbbwxRPt45mEl14d8Z0v6fMnnw9ARSAkVghGxkMJ4bYgyQJNUYB6XK5Q8sFV1iOR2YdZ7YwsFYpJN+OlYO6STJHF+TYZiWVsbS9Mhmthbxx34x9bSjdQ1fMNiYqIZIR37zOKxXnJob2GTbMa35dpJlPklXHl8yNW/dEyi1efV5wFWboISomR6nJvV7O3qAK7cFHS18ripSPGpEwdE2lTXV2SJJljIksSRTr3JPRjDh2XfOT2Fme7gdvvWrpB70pQ7NgwFi+s0t3lRMYF2KbCPBTsXXFRxrdazLZgrHTdu/1z3KPb/mRDU/ND39nj/mdCDp2TIGJAYZAMhSxtIuWOdYaO3MYsX3BlPs+zmel5KLO5cM8zMFvrbLssC+1+VsgUKdzP85VEODuzYOzs/QxvYxvQ5oAulWGn4PekoNlS7NgsuOJqw+S0xgtMgDIBSayIk3QH47x6r/jeq5beNcA9Lkcovb8WsAuZUqp8y+urVzP3KpDnM7LHn+tce+cJnWwcsEpQUuOltmAQxIy04fc+PsG9j9ddb5v0nPaW0nXtiGL+Sv5Zs5WF6oU8zuRlnJexvjqDWbgWxR7v5fLZchmtazczmaOiDYn0UInHq26I+PF3dfjF3wsYJdI1ohpJkroq0ojSZ3Mgr3S5W9eSRunzudeiFBuk3fVpEsgFmFmRljsumT4vNz1IUQSexTGyGEQFP2s6KqJ8HKsKI+sDlVlzuQxRtoHSDbzpliAZCaYnFL4ni0yULIBYWTbGGXv8BK/6kLZa/E4Z3OXBPtXZHnlQKUinKVF0do8xuEqZO5uAWgkuc1ni3BI3UDLJGdwPEu561Ocz9zYYRT7UvVx75+ydB7arM5fj9lf1RGQB59r0Xa6KKxppy+AGq7Iqw2qtuDYSaZxUyYCeJB71RsLbXzXgznsHfPlR5WxDJAhJLDwG2SpKxoJFQRakLDymyd29VJci3WsrQKXfz8kWV6Ni0/OZgdkBO22koQD9uITNsGQrzHwBYqV6oSDc8YoTWGwrFlc8jPDwlHSz+mqBGwDvea6ueLwjo/wHgCpTUQV4ZkllPx9PY48zdkWWZGCXJcci07/5fuppqjxP7mSTUE3+PGft7K4KcHspuAM/ZqVnuf3+BvvO1Jw0Ea4kVmTaW1CaIGVXgTv/bvkxECWgfwN9koHbkqfIK+WzZakylvgZrxeXUiGNRhqPeOSxe2PMd76ix8N7AtpRmn41To9HKLJ9ICSpN14poy1YzOKSO/kFKZ3bUjRDZGyeSZUyg4v8XNoU0Fm/bn78bAnsKWLX2jL8Ql549rMsqM2uDIkDeqLBy8aZ1dKNlyq7E4wxdoXJ19Lf2MpJrzL72OzBiuauMnmZwQtwZz54EVzKHMAlkMuxgDJL5JRdFOk65Q2aP/58nQ98uoUVnvO9K+xNob3XihXGltviBFx4W70ye1cq+RjX3xmTr25ly7ZrNMZgtNttWmu3K0OsfaQy/MTb+hw87fOBz3jESQFyg2AkJMpkgyRScJdb23JQC/KaaVmCv8gmLWRsnmY2hfs3bUpiNgd6cREIMvuwCu5Cp48FlZVCrLHgOD22Btfdb9JmbYElStzug162IVOjBrWwqn+q1/NqoGeALrO5vACoq8Avz9IoPZY87ozZi5l4qfc95pjIDNxqXJ5U96xX6d4zToPH+EHMwbOSz9zdpNfzoa5Ws3de811aXUSR4KmsXGPP4ZsneQoGL4EeSlpcVNwTmzYd5ECXpT1rpNPiUnrEsabVTHjbrX2+eF+dg2fSpIIbUI0WggEiX22EScFtC7DbHNSpW0KpRjyXJKX+SOHYW6UgLORJCeiyAHMWkzEO7hKQRdpOViyG5Ta8sVs6vk4kFms1w5FmNNJ4jXpAEnlMtNx87DJrZIxS/Pulf3wN3S1KAK4s2xlLZ68rS72tyBORz76rBpflxI4U5cHsmXNiKtttyJIskTJ1TFIm97yEUWy486EmX30irRaUvgP4GHtntqUSoiqt8qW2mn7OEP7N0spjhF4FeuluTJo9zJyUdCsSp7tNIVOMRAuJ0hIjFPHI47XXRbz2pQNOfMFnZFLd6SqhSPAYClzFIWkIKURuYGepn6I6KXNU3LXipoikvyVEQfaWXI5IOQZ0WzREG5EGhyUirCQHy1Il9c4pA75EEC5Az0ZRW6zRWKuQysfbtHnbSj0YfNEO+O7BKCGKJXGczslLg57s641LlvIVx9iHGg8iC4a3JTAXAWV5tvQq1s6BXuwyUHVOqvpb5el3XXqeIKXr1JFBwj2PBrz3DyfR1iucE6kQQrp9gESRlq8yeDl+WJu9v4UkZoHs7CQxLlNsRa4YsqlXaTGWKByVXJNL540L45EkhiDQ/OwPd9h30uOeRyQmEClk3ReIjWJAWVDZkixZQ5PnXni62mafNyWsTIeL9AIwuWQVeZ2KLAHZlklvTf1dKjGoSMAqwI21GA2xtowi446B1/jiRdu2rqi//06/pzh6qNWIf1xaTZR4OXuXHYLxwKo6l65c9ZeCUZU7cEplrqoUOFYqAzPAli3AUiKnFFDmBVUXAHdZqniVhI7rtTy5JHjvRya5/4mm25RHBmlJrI8nBXUJoSTd5KraXLz6nsYt+ZCc6jAilbZ7STXWMF3S9cVrUbrox7K6ZTIozQEU41Kv/DML62YTQs/y8NMBK4NSbUEaZmZTxIuKwxKTrro6v5VlqVSMmwd+JdlVAWdpxmD5As/+TiVWEWvkC8gTY4mxxLFlvm3pGJ/njp7/oS/d9+w+7/YHDVEi2DxjuHSDzL9GJjHs2CTQshYvvO6SFh/rcJHpFZjJj7InXvGTK9tiVKWJXENzZzsMrHlX5cAyLYVNn+tA85HPTvKXX2tiawqEcugUHkLKSr9l0d/4DTrm81WsFLysPuerPHA79noVIMa67cc7fEw6P9CmzG2tKWpUhEQahRYecqB5+20Dnj/s874PekRhUrK/BNb4jEibW7L8unYmtsWWQGlTjKXZzXS/mtQAcsGmcHhxuBF5PJeRZUaINmV1KFZDmx5DIUHYsWBTuOrEPBYeP5alTaGsFFx/uWbnVsNwBN7K8joSLZBxTE1EeEq6oqs1AF3V3tUAs6y9xyWKEKuBXTgndtXzCtgzv1ukAC9p7wqDS11yUsrg1shS7cmXHwn5wy80Gep0Cr7IrME0aylsRXuvmZpfFUyPO0ZrSJULsJ9NEZAJwVUZTeyqElorS5lNWXJWhHKFWTItzpIGbTxC3/DDb+7x4FMBX37C2YWZN44UGOsxMq4dLS8iGbcOU+mSSykhUKkXXgG5dIATqatiSsevADq5J24rJGHzFH9OHraQvjnYxw9ruvr5HmxdJ9g2VWMuDIikwbvt+hgpBcOhYXHF6e9s2YPVJ44L6Oy1nZPqrLw1nZMM4GV7sAxuUezspVbpcFP1wMfZW+oiwPRi+iP4lQ9NcvhUiPWK3ZIr2juTSBVgjwGaNcCcQ1hU8fwNBPn4eOpqRrNcfFXW46trU4xMKw5lmcUVQhuE8JCR4eItMb/wI20e/OmQ7jD9Mkbmn0vjMcykQFbcbQqQWwmYFNSW3GFRaUCZATtzVEQK4kybrwV0IUHmqfwqWVAmxTQ4zQLY3IpNL4AsnvM9SZIYnj5gePqQBizeXXsn3U+jAU26zE0rfM+CKjZ+clLE5kvOKmCX2Zsx+VGSLRVpIgpAC2EvIFFMyQcvbWOXsnmevKm4JqXdeVPP2/NiEg3/7VMtnthbc563zJi7cE58UZUlao3vmYN9jLnJT4pYzTKVBVWsfqskQ4oGCIpiJuuKmVZVGwrH4HnQaaQDuZYYkd51KlWM4frLY97zvW1+8+NTRDplccijQo1iZDItniKnBPJcoohSllO4DXptmc2z1rVMjsii/ryI7ag0SeTH0lZdKZvjSeSvy/599nvZTPiNs3Dd1YK5dYI4Bu/db/tums0mzz37LPfecwdTLd/VV9uCgKoSo/y61E1O6fUaTF2k7Mvau7yBUVWWFICv7s9YsLcudHk5qVO5p4FlTfOVh0I+/KkW7YHvPMDU80YohBCpc1JkLculvGUdXoxmW2MGYSUsE/lrMQ7oMdZehfcK0G3JWSmzdjoVNpMk5SSQcDailgppjatXSRQTNcOPvqPPY8+F3Pl1BY0kZer8BJIYyZAspihAbnGlseS2pfO801jVlfVmEiYd3prVnhTOSmYfpxPTxoijYg+WgW6L1UBIUagobCq33PnwPbcbxY6LX81ll19Bv9/Hm50KaTRCZqdDppoKT1E5keOW3mrpUXyo6giF8oTTcjKntOWFsFUfvATqynZ1othh1wF8jLmlswJlvq+6CyylTJBewt6jHr/ziQkOLgZuMlDqd7tHWbB3yQmqgHwteVKRJmPTmlarkapKKSV2cpCP6e6iyrBUljrukds1CrGsyTeVFZlUERYhPWRs2TWT8I/e2eXoWY8DpwTWKwssAdJHpyBnDORZlKdy6ZX63ZCyuCgCzfSfy1l8DekiUqDnQWYF7LaUyk8/iS0ZFmlKPt96xVi0Nqx0De2+xyCq0R9pvGzr6lbdMj1hCYKqXbfKEqwEWmsHkWsCvPLfj8mTErhFxsqVgLOku5VJX48ncwqgK6WRMiEIE862Bb/ywQk+c1cD66siHZ9Kk7XYW5UuwNXOSQHutZI6ZUYvdHgV8BXWHgN79t7qmpSyDs8AXQ5As84fx+BSZM/T4FMbEgy+dK5KeyT5md9QnFsREJaQaAUWL2fyQp6kF1r2mLK2kmCNzd0Sm9WliKLYKvunhQSpC8clx0qJrfOKw4wwGQO6yY55duG5A6aBEYYoiukPNEnibEMZBJJaLThbC8UdG9ZPpXvSpAN0ct+6dMLLtdnljpoy48oiWZN52JnrUfm5KCdsbNUhUYU1mNedZBWDY5532RKU0oHb9xIiDJ97oM5XHmmktSaZJShTBs/Yu9g1uDxvsLx0riqLLWlxSj8bZ+4c/ONaZEyurJpTSLqdtSmDvGDurNMn0+PaZImfUmrfSoxV6XvueZJ4CCt5/UuGvOVlfQKRQJKAKd1tgrWGxMLQwMgIIgOxESQWknxIPyTp4MvEOHex2Iow3a3Cpu+nWdn80biJsCbNPrqLs/jv84mxOnuv+J2sT1Ubm/87ibYMhgmN5hTaiDt8PzhrEciNmy/huSfvOaqT6L/Oza3Hk3E+gqFI0Ni173kwOFbCmgPbpBuVGsr1I5XfqUgNU/o3qql3VSqHLaSISdlap691mq1MSIThs3fXed+HJji54OM2/vQrgaVIwZ1nLccqGiu6sDL7RFQAXNSciAqoywSeP7NrYnzsTVECu1glSXLAZxOwjCw1RkisKWpUXIrfdf4Y7Vrc4pFi26zhZ36kw1tv6+OLAtiYOH2usSYFuYXIOpAnKZgTI0hs9px0UGgKRlsGu6C6ByfV3ysB2pgxoJf+naL52qKtTTO67r/RxpJoGI4SNm7cyHAU/dcv3HHX0auu3J3uk2kjMCBFjO85mWBZfbKrAWFVjhSZtDV0t7CV9wodXvbATUWSjD8vXwS5BleZDahTzZ1WCvqaIwuSD3+6yb5DIbRUDmqX2HHaO5MmeZ8lY7Xp48xdvufdTuPZvzHmrrwuXJQ1g0sEbhh9id1LLorMM3nV9L0UDuRS2NwbFxmzp/UEQhiMUAhr0cYjHlku3xXzw2/v8sgzAUfnS0tVHnQ6GZIgGAoXXJKOcLMmLcDKo0B38PIalYrqSR2Q1Bas1olXZUlhHY7p7yxYTYmIrN5FFMmhOLEMRjGDYcRoFAPpJlRbLroMP6gjRML8uaMkugiwKh01Jd0sGNPgci1NbsfAP+aY5O+VHRQzFmwWtmCms2UK8gzoUmqUyCzBhKWu4Lf++wR3P1ErqgSzjGUKbiVJdyguj0EurE5VAvNatuBawB+3wL9ZZrscXI7r8YonngefqVshnPaWRjiPOQN/KdMphXWtYcadAyNU2iomESiMMOi+4bbrRvyTd3f4Dx+aYnlQuCnOiBcpyD0Smcql9JE0m2lT4LvPltaqmCLYtGUQ2xTsJaBXunxgzF0pbYtCUQOTbi1UYDFvsvDYsX07N1x3Nb3+ILtGYWp6Ixs2X37nkeMr7+0MGiQ6czdWN/VWBu+M1Yms0uAim+FX1t6mKlPKtSTKlEBeTb/LnLFNibWNkySZRFEJQ2H5vU83+eCnWnRj3xVSZcyduiZCuDHDmXNSKaqiONjj2csKU4u1MFzsHvYt4LvC5JUZ4SWAV9yWkl1YSJayhTg+mdZJFVvaLcIYlXYEOT3e8uDH39HlJ97epW4SMDqVKhpsXGhyY0ksjAxEBiIjUk1elSmJGdfhrL6nuzHokpbPZYqtyhhjMq3tpEnxHrkez9TG5g1NdNR+7/UvuuLOrVs2FQCfmN7CB3731/vn59tHLD5QjCL2KvqaAqTKVDR1VT8XvyNLwWLV5y6CxYKpq8DO38+cEVHIE6kKoMvUErSe4flDAX92Z4NOnG6QSQbszPeWCFJpkt9tRY6pMqOM24NlcJdclPL7q0tSvjHUK/s+llg9DzTL2ju/CEpNyWX9varzpwg8tVElkCusUSSxouVZfuD1Pa64dITUZT1eBruGDOQp0GMriA0O5JZCm+fBJxUQm3IAmQebWYC8tjZfG+zpiIj8fUcBtdCn31s+8mvvfV//4h1bCoADvP71b+Q7vvO7uGz3xS7Q9IqqvaxrvRimU+6qqd4LcFYLpHIdLaqp9cp/UwkqdcHkKpMmpSzlWCre8zXPHfZ5z69N88yBEOvLQpbkDC5LtqDNB/mM79SwljW4lkypJHYEpVditVz5Vmi8UClrWIVVps53Ri6xeda3mQ8MsjL3x21pMpYxKh3/ptDWw0SKay+Jef/PrHDVrpFrhclAnt/jFOyWxDiQD3Mmd8COU+Am6RDMxI6B3I6Bt/TaTVSj4pJUglPtWtAc+1sSY/P3Eg39Ycz2Hbv4ru/6bt74xjfnx9PLnkxPTxMEdaYmAxZrCYGfbfhZCgwpLddlvxsnnoqmBlv9efl5GjgW3rip6u8x7V3obFNicJ3bgQ7chq6V/O6nmzy5J0SrEmvn2ttNBcltwQqoq0F0Xo4gx8sRxsZCjPvipQvgWyFvOwbsMsJtuU+z8n6Z2cdqxq0bZ2xMOtJYuMm0JtPjWIyQ6XmUCKEQxqIxeMJy/RUj/uHbevzsb/p0EwE+RUrSUJSPotBGEmXtalkW07iAM5+lkiapVLrqmFRKZMmhPGjMAklb1KyQGRml1L6w6WwVUzhemSyLIgsqZGZmFj/orwZ4ECj8MDg40QoPTU/WdsXJKK1fLoEVKCd1nOYcB30B8iKpQ1oqW3JPKgFmob1FBnCxhkzJgkuRBpVC4/mavoEPf6bJJ77SZJQWTxXM7eXsLTNbUBbSZNU+O2X2HmdsUQC7msyp2oNVZH8zeTLO3kV56rgON1Bs61jxxgvAO3DLdIc856aItEZFWOlKUa11z411ILcWrS2BsLzztX32HPP48Kdb9GLcASsFlcW+Nq7/sSi0ypI76cbB6XlXadJHCrdBlksCldL24yn7/LXI61AYi42EKE3OMhBZTb3eJAgah4IgOKiGUf4Zc4nSmtrKiUP33eEHEx9tTKzDkzGBr4ttrsv72lQaDcbrsstlrKmMUeVUuxkLInX687UDy/L7Gbhz9vYSuhF88C+b/McPTnB+0c9ru8u1Ju4uSuxtV2Urx+ttyo6KZAzs5ddjrF35mfjG4M5QXS60yt+rvBQpo1cDzDUTP4hV7+UBZ0WXq8pWhW4EnGLjrOHnf6TNP3hbl1aYOE1gk9wbz3W51WCNGzpvsuDTyZRVWtyKIhmUa2xRDUIvqL+z/9bdY+MUVKxd53yUwDAybNowx8x066Of++J9d+zauXU1g7uzEyBU/fO+J97aqMvrpEzIkxPlwCmrzy0xejEmwo5t41xi81X+tymxualKFJFZgavBnfVXyprlLz/f4Ff/YIKzS2kyR47r7mrG0hfF7hCZc1LxvOEC3reogHc8kHRviW9G2N+UzctzC8tSBcaZuzQk01iMJGXrVJqkwBa28MSFyFib9DGTK47FMR5xZNk0rfn5H+2w2JF89PYW1DIGFyUmL39uScyYXMHNTMnsQ3d83fg4k7+m1KfpvGwzvnLakhxMj7SorHwWXwUg5JOTrfrnu71h5ZhWAH7Jla9nz4P/+v6JOo9GIrlO6yQNTkTefJydTNLySVECfDXxUwC88MOrSR6RATqVKKIsS4RBXADcUmpUaDh40uNPbm9yZj5wfvcqYLs9BkWquTPnxEsLhsY7dcqN0DmYoSJL8uAxpe9KFvNbUyU5mL/Rz5wayBoeqO44Tel5pskziZABO9PhRmAQSOGalQtpIhEmLcQyBRyNUCSRZdM6zbu/o8+DTwUcOhVAmH6xDNymxAa4z5CkgDbpbg++tXmiJ68bz2WLkynZNZPXm9isBtxWD+nYMc1WKa3BDzyOL8SP/uYffuX+L/3pv78wwAGmZrcikCT9Rfr9AaMoTJezErOI4joqLDNbYXHB2sCuavMM5JmE0TngRUl7V5hbalRgOHTa49+9f4q7Hqu5BkoxrrnTOyLt1El3Y5OrtfZaw3wqvyMLX/xClYRl16QqU6pSZi2XJPsv7VjUWQVyeQtrm7sp2W7UIg0w1yrKEjhXQxiZJonGQJ7GUtoqMG41NkPLa1485Jff0+bfvn+Sw2cCF3SSRXoloEtwM2gFSfqWSfW2l8YShmL4p8VdsEaIPOgUpX8y0+AZC+RFVmUCwMmf9hAmwzqX7tqONqVfuhDAB+FbkNKLDhw+zUWtRTzPJ0lSA2wt2lmLxbPHMrixuWzJKwcrwWXhmkiR+twi875LmUvfcPS8x7//3Uk+cWeDSKSbY+aMXcgSUtcj092eqDYyVBh7TJKwBjhzAJd+ZxzYF7yVf7hWPYrNnITSz/PHUsls9rpUJ04G+kpms2iEkMZpcyMKZs9qyd3vy5TFM6mpSAzUvIR3va6PNvBv/9skx86HKciFg47RhWQRlqyIzQhBJNx1EEiBweZAM1nWvljEMwAALSlJREFUUaTZVyHcBNo0PW9yNq8etvHDZ4E4EWiR8N2va/DTP3ZrFCcJv/cfvwnAYzYgvMmf3rrp2iuj5cXbsP0ctOW/IsYQX3ygKlMjyG1BkbFzWYOvwdxK6PRnDuRZMsfzDMfmPX72tyf51JcbRDLd1lisfS8ylkVSx0uXxDWlCQXY80rBcbDnq9cF5Mu3EliucRvHdbkufHXaPj3S1uZyRpQdlbR2JdffJR0uhcwtRWFlDk6nwUEIlTcUJ4nF9zQ/8MYBnoKf++0pjp0P3F7hsvRh81s2GsgNhUtIC6KEs/9MSi6OwVPZgmN7KYracCcCSv/wGqGNAJQwXDTX4uJtV35tbt3FPw3zq46rHH/j8h1TyMU7Op43t28QTWit3a8UbWJFZd94AqfqkpRqu0vp96Jwqmz7lWRJ6VGKUvOC0pxekvz8f5vkU3euAe5V+tsVIbkBPgV7Vxqfy+xN0exQzlSOa3GxxgEvntsq6P8H0D0eYI774sWbqQ1XymJmcsdQHaLvAlCxSrLokqNiSyl8m1cgukynK6+VeBre+boB//d72myajUtOSlxkOSt3V+pnLXl6f2Rd5jNJ38sSQklahVgpty0liwoHJi0NyDYGwGXaN7Q8PVuf2Pfxv7ijI8T6VYfWW/t4C6xeeU+zGdykR1yfgTZv+LTZqSzMegcIdzYyo96BxuTypNDephJgirI0kdnPCs0tlSHxBX/w2Raf+FKDSK3lcxd+dwbutTKW8gL33AliDb0tREWSXEhfF5uYiv9RfFezmauSOrbinpTT+lmw5eRNefuRIuuZMTmpDhekAV6qLEgLsjKfXJvs/CmQFqHBQ/OuN/bZd8TjvR+eIIGCsMf88colap00itMCKZ1mkk0a6CucPs+VTipdcgluq9e3Y24XVylPEtabTy8udd8zN9ta89jKtd7cffUbaIQ9PTl7qXUdPhpfafzSnL8sla5kAdrVpbCFHHE/L6y/QltXa7qLYLIAN57gjvvrfOyOBiOpUqotA7r0iEvHK1mVJjmYGWNvCskyDtpywicj5bLWLgO68gul2zcD+gVgUZUmY4DOMpl53TiUQJ2lukXufpkKi5dT/KVxcKW9f2yezk/Z3CiMloTG8v1v6PO6lw0QWV7dlnzyte5px4a1EFuI0lqWyDrPPM4ZO61PyVL8WQrfOuaOjGCkBUMtGGhBpEGjuPbqXXa+E+vv+943rnl8vQsd+Lltr8bowcfM8JnLTHSi6akEkaaZssRBeenL2LtiE5YZe8waLILKNJhMH//f9r48yo7iPverql7uNvfOqtE22hlJSGITAgkE2GCBHdvEgGzjLfZ7XuIFP9t4txMb4xMMdp73mGefEDshLwkxdtjiBQK2MTtYbGLTiiSE1tHsc5furnp/dFV1Vd+e0UgIBOTVOfdM3+6+3Xf6fv3r7/f9liKmcuJwEAe45a4cPveDCp7a6suCYRPY41ATYhYQZ1nvZscyHcFUILadT5u3WKF7NC9PCO4sp92wWDoJGirYM06LZVXBbllwAVMv5xYfRxzdlNmPnMcVjlphEUKDnMivQYSAiICl8wJ8+5ND+CwDfnVXAdoMW7eoSK/UVyaSFCuS/xNH3OKNwYjWIrlxVWJWICkOl0fOUWBOV+fom8899bqWYg5f+VT2NaYYZ+SKs8W+XQ9/H7lFfcX8MLrah9FaGoPrBDonO1FJUo6jCV4jeEOMAE5Ce9TfBNyMxE8J4gA3/TGPL/ywjKeeleBu4to2NSHScjswZmaQ4GWW9U5b7qxGRhlUBM2W3PwJJ4VshYPx1hkxB+Vw2uVtSRQzWWeE7AErimlNg2IUKQttqKgR7VRzcSbJWULO6MY5A29QLJ4d4KpLhvCmM8Zi8qwt+XgvFfmMv7SQUcoGjy16nHJLdIahzjYU8Y3QEAQ1TlCLBOqjAcYG66jW6jj7jPl99z+y/vuLF8wYN6wwrgUHgP2N49CoHcCGJ3+Dot+P6W3A4lmAEDkoydGc/iLRwhMZ0LLcMHXvRBokxMjzJoqWADfdlceX/q6MJzZ7sdadEaG0qUkS0EkKiO0WELqqaDzwZqzTmE1JiBnJg8a1IJMG+kQNgGAsJ7KgMXGrZc0TTTwO+ig6IosCUqH+mHNz6ajS2LIr6y0riJW6YmbJoCGwdG6AKz42BCGA/8y05OYtSpONIv7NTM1c/8+Qyorh16lGR6EARNjAycf0YUZrFTOmteBd589EW2srPj7B5Z0Q4PnC9PrT20Y/fOODK39+35+eKr5hZT++8+EReWLJAeXXS8L1dhieGPybSIfTpCVE6+GRpihwCH51Tw5f/EEZTz7rJSF4K4CTst7UCOiYlERb7VSFPDIoieUwpsBsgly+s1RBkqwzYD4ZfOsf0nyvga08KwVuKR5m9S608soNqqK5utTFIQGvsg6JYdkJp9a354ijL0QwRFx9PwbSCLFsboCrPj4ELoBf35OHGdnU/wA1wG1AWXW55UAc5lfXWBhdZmEUogiAixDvff0ozjuRo9jaM9o5JfywV+iuT3R9JwS4iKr8jOULH+yu5IZGdu8pTm8nGKtxBKGjH2NJK634X7cCOMSw0koCtLh3DGxFawjjEIzgN/fl8NnvlfHUVgVuw1JrQJtcPObdTspym8pJAup06zmDnphOJTH4t96fWJ9VMCBI9m2y5hlcxlT+rHVmiqzI3t/ORUmt11zcsNxQSkqSXQhO49pPmqTTEklRVH2jyilXJycizjGKp5mUT+5GhCVzAnzrfw1BCILb7s0hggK5tNzCALfqAGTo5RBxDWloAhoJfQQAQgU4IwiIj+d2dWHrlBJOmX/xkOfPfrAxNtocvpwswI+d3wVQZ//Avmjtpe9b9vtc+Ae3HvjgEUUjdACoDEHDsbTyS7h2MIn1Xr5oBEKjuIkvFRCM4I6HfFz67TKe2W6CO01LnPgiEcU7FLjlkzIl/1GjoLjJmUSzJbdBbgPaxKqVPnuERhPwTclQNN8cGvDEpDHCDv6QxPnknIAwYVjtBNyUcg1sIuK+KvFzgWpLHst5AoRLkDY4jp0d4DufGsQlIfD7hyTICWIN0sojV9/efB+nByiQO4AO3TtGbjkFEFCG2+7PY/6cFcG0PXRt65S2/Zy2Tng96UQbCXMxNLAdx8yfu/P44+ZsqYoIT22roR44GKv6aAQOIvmPJtQETSVoWuPWqa7Gi3BQR0A4BLc94OPj36pgwzYPus2UpiQZVlyCm0mnMl1AHHdcErZygmYHUwHZBnpG2zVDFTQdSg1ym8OkPzYxqDPC9zpiCeOvRT/ik9rdrhRVSSRDq+RtXEcz1RouvU6wjBrPWD4UDYLeWQF++JlBnHNKDSxSabXS+eRhKiCkSuIM55PLPt/GLeBQIOcIlH2BgsvR29OPOXMJps6cv2XKlJ6dT2/Yjnx+QghPDHAAYJTipzf+17Z7ng4+eOeGlfjZLV14dEMHhsZyCEIn1liRWHCtd1uOpKl/R/rFCAfzBLhDcPtDOXzyf1ewYYcHkamWKJCbkcskoKMUEzVplOpzMq4UaKonBmhNi5ypnqQ0QBu8Zhqx2j4+vEXTgnwroEmpxdENHq4Az3mKpkDlhSd6uZWw1aSLqzpOMwKqSt5MjdzclxqAj/PKRZ2gtyfAdy8dxGtPqYFGMnFbRjUTJUXVd0ap9RxCxDWfMlMAjAA+E6jkBE6aS/D+swk+/87i+untj699duP3tlF6UPhOTFEAoFTpwb4DVXS25XYVSOmPQd+uM/YPjKG1LFDIUc1rrXIyVSBscmwaq57qPSEC1BfY3ufg3kc8XPbjFmzY5kF4E2nchuWW0Iktt5kCazqUSd5xGshWoCdLUSEpMBuGWTfVNB1T9Y0IdJN2i84c5Dpr6iHNl7bgyjoTE8gJBwcxLDqR+jdPEv4SxURSFevzRKolMS8nRJL4uFcEiKBxnghVxxFJy2WFLcmAKQFIwLFodoDvXzqIr/6E4/6HfWzvA+DJDyhBRTuZpl5OAeGAc4Y6IfClUsQokPMEynmBSMzBvv0tXwuC4fUXvONrAL72wgEOAF3teTzy8EObZk1v+f45Zyw+o+/5e+C7SWTTYREcJ2lXbAZtGOEAEQb3jmIH1AM2PO/im9eUcPPdOewbcCYB7iSYo3i3S9KlZ6oqPl2hM35JWpZ6ki4ypkbAJ7Hehqk3R8rKTwRvkaKkJpAVFPQ2U1JMKSVW1JMgUU6U8wmh59BRTfWJeQwic8pBIRQXlwWSWmLkNMa3cutMkMd0HbTOsXBWgB98dhA3353DN69pwcbnCODLu5VLR5MotPPkADzueRhwiioBfA40IoJ6ILC/vwGvtAALlpyke55MZkwK4AAwe3YP/Hz5wbw7dkN/y7a30PBJFPMhfK8B1w3gsiCZUcG00qZTqWiML7DpeReXX92CX9yWRy2igJ8FbgpL69Z9BRMaohKprBbH8tKpypzmJv22cqL2a+YozavUYpPTeQQdTQvc2olUtEQkIIYdzocBbA6hLXh805g3g8nbiU615TTWxRNwS2dTUI1BYoCZcKOHvgI9AWjI0d0e4d1vrML3gK/9XQs2P+8Cnqn0y5ik4ACJ4mUa0xkuXFSFA0jnthFEWHjMfMyeu+CGmT2zH+wfGD7yAG9r78bo0I5tM+as+EQLvZ2FY/U3EzEm56EME3CTBNwwUmeJ8sJdgs07XVz2f1rwi//Ko4YscNMMcCcIVaH4pt4mNE1RDIuMDEfSAGuyTKx9shKsLKSnj3Mosoqwd1XOpJIKsyx6vJ8tJ2rLrBUTGcmksCy/DvgQ+72ZrMVlfEOFy2NwS56i6YqkNyCgIi5h4GDJF+WAqHH4Lsfa11UBAVx2dQu2PO/IfHLVXlbdNQSAbDsr+yRG1MWocFALCDqKOdSc8s1nn7XyExs379zeu2DmpAF+cJZujGK5B6T2m+2t3aeur7S2o1w8gHJxBIX8KFynCsbqICwAYSGoG4K5cVSSUAEwAuoTPLvXwVevbsH1txZQE1QWK5jgJjawZdlZAtEkaKYttwHizOocA3zKesPYDnM7EkAjA+hqo2XZ0wzlEK15opg069/JDmbE0oorZmxLLDa3tiuqYWrl0CF+U1nRzqp2SA0HVobvdXqtoHKbcj5l6m1AkBccb1szhss+OoTZ3UEcn+eGoxmFoEEARzTgihpcXoXLR0Hrw8DYMMKhAfTObMUbX3fS+p/dePchgRs4BAuuBvNmg3gLriKNh+dt3L3r7YPD+7F5p4u/vykflxGFBFPaOC5eU8XrVtZRKXAQEWd/rXvUw9XXF/Dz2wpoEFn5a2UDkma+TU2J0AzFx7klTclUSDfOFBbY01FME9x62QQ5YquuwWsCuxnb1n6HNBJxxNC645XqfVr/NulLnJhENC2BSDi3qpJRsiFh6YQsZaSNHHLFxVX1jwC4YckVfaY0zithiOkKBQdHYu2jkMN3BN7+uirAgR9dX8TDT7mocwLKgdaiwNkra7h4TR3dbRGCML7p/v7GAjbuoCiUunHCklnXXbTmpKsefWrboV7Vw2OO0cA1oJVy4eS3PfTb7Zt2rK42Iow2FCkUoCJCzg+x5pQq3n/+GFaeGOD6W3P4ytUlDAwzBEhHIidyLhNwK2oS0xPJvWniZDpG+2O9bPYeNNYl7+WLxj9w0kZZrYurTZJ1RAa2iHEcovcjlDS9pzJ9l1IiX8m59RQpap1udCrbmevvK+zteu4ic5s5cZfdK1I3NCXJbNF2VzKjAZNsd212OmA6MS4J4mlZWG5jNNK5/PE2lY4RgTIgIBSDwxR/dXUJv7g1h5UnBXj/m8ew5pQaci5iuiOdi9E6EEYOGnzeXZf+34+d1zttx9jXLln70gAcAK6/9UFEXNz+V1f+y9kb9wzL+Z0hHz0NIKoDoyGOmVfH5983hq/+uISd+1jyK04a2DE1SQoYYvAmjTNFEw/XioruYW5MSqv4ubUuC8jGPnI9sW4Aom8KBXx7We1DdH66CfCmc1DzuyRgTs+ykdykSe/29Nyi8WeTLr3pDmV6KhjjvdXRl6RBn8oKNYFuFK/YIE8CeyqKDUpAGMHO/Qx//eMSvvi+UfTOa4APUzRCD2HkgqsIqeBwc+3wOi+5AyDnOKWzDgunh8TBzbH6pGOw+qQFD7z1/DOqpZYKCMvD9QpgXhFgeQAMC2aFeNPqOo5bGGBeTwhqpePRccCtqArVyypLMHkJzb3NKKWiJYqaNIXg1V+Tl0/01zQDJhdPm4bM5bTtmEAqhM291TogFZ5PhevNDENruSlok846bM4sbN4Gi4s3zRyhGggZDT+FiBt86gb8Bh/XeTZEYPMOhsefcXDzXT42bWMQoAjCHKq1Iqq1Amr1HGpBKwL3z6ost/QBll92uDA9fIBP7WxFa8H/8kcvPuu7JyyaXvNEhGl5ga4cgUMoVh5bww++1I8rPjKE4xY1cOqxgXToJHiRBfBmTk6QnlrELF4QTY5lcxGxuWz0OzGdTsSUI4uLpxv+mBLhwXj4IQ3FwQ2Em8lUEClurmox0wdJO5zCPpYFeus9TZxIkGagS5Ba26CmTZFOpdxHd7EVSWhf5bRHArjvCRfrn/bx5R9VcMk32nHfky44dzA00oKBkRIaDYJcaW4t3/7m7wZR8cuEtR/2ZWWH/UkAV1xxhRBTV/yxXPBYiYWryhhm3WWKZfPq+Ow7+rBmeT0OnUcCvg/ceHcO1bqaCMqeRruJj0uTqTpSeZKCJEUMkpqYtMN4lFvVO+NQE2L+lfJgMqOcuseI8TCRVMXclyS0RN0k8ZyO6oZJGmGa9Z1ZUdPMya6MDMbspDBiqT3mE0qlMmTf0IkDDut4SeGHpSbpai0ibyWSUotUVVcyeWL6PJRyDAwxXPGzFmzd7yHkHjbvLGLLngJaCyXUam0YrfooVaY2Km0zr3Kw8etey6rwhWD0kFWU9OjOozG7c+qV03L1xv5do5eX/ICestTD4pllDA8T+F4VvldD76wQBR84oK13qgOsKRGmwN1cNJzQDytLUGU1Ist6G2qJ8aMCCgz6dzJ+VMN6yw0q/kZSx9AgSQ5zyKbdpB1Wwh1JFiG1bjMxL8koNIocCMBEEhSyrLr8P3T5GpJELWLIi1SIuK+KlggNtQVy+hR58TgAcAZKedyXRaorcepCfGIGgmoN2LjdAScMcH0Qp4j1Wx38260EJy1wMaM7xytdPZdPZdO+vWvvaGOy1268cdgURY0vXPJWLOth1TWrF99w7mtPEvNmCnRUCGp1H43AQxQ5EIKgXo+bMMJUUKjR3lhb7wTcKv3VQWKN07WVVj6JAb6mKp30X5NujMPBrWiQvSgBTZpAbg9ju7FPZi2miXKkeLZeoTIKjWQqlXGow/gGH4dBSyzakebZaX6uvmeajjQfg2v6kkx8xYVZvCwpDGeAkFVXvgrXu3CYi4JLcaCfY+P2Blo6l4nQXXrDQ08Wq7MWvfOFwvOFAxwAZs3qQc/sZRuPXTT/o6evWsY7WkfhuQ2ocrZAANf+Oo/+fjmVn9W727GkQMW5HZLUVWquLX8+hZckFG8/Cpt4NkTzI9oCdHOeiZ1EZVvnZstsz3B8KNzcyhac5H5WeN76LNGcOwG9DWA0OZQyQzFdZa9vCjTtk3B4IztRvszqfC5rOeNG+wxhxNDezvHeN9TgIX50cAAjgcCeUYLepcv5jJnzPnr8siUbu6fOwJEYRwTgx/QuRHtxd6Nr8fJr5swY/PTM6RR5b0TnoXAqsG2PgyCQgKZu8tIzL0BX5bgkjuiO18M7i6tmtX4wrXk63J5l1WFuNzmkCWVil6pZ2zDem4OAN0NBSYAKrQ0rC216lnbylelImhX2RrQSSIAKFcmEbfWtGyGVcguMn0duWHEFbM4ZoiiewjDiDK5DMGtKCCazwCLOcWA0glOs4PlhfPq0VSuueWLD3sbixYuPBDRfOAdXo9K5CDzYEpHp79xcH5g5PLTrhhaIvXCcEPsPUGzf40EwBW4PoI62nDrNFYb0h3SxgoxSwrTeZvmZaLa4cn0TBVEYtDyp1PYsa24R7IzlrPeHMBQ/Vo1NNTUhyTaTQ8dcXYJZ/dX7JZwcFj+X59CyXXITaC4ueXOSt5Lsp/5FnXYiK4FUv8SYtsk+gyLOVaHawgg4YYRZ3QEq7QGqAyGAANO7W/HBt58x/NbXn7z5yc3PRctPWHikYHlkLLj+bVkJQwO4GbnzPpbruOiAnyuBOXWs2+DioccK4K4HUB+EOnAoQY4CBRr3uPANh9JqUA8btOnCYcuxS1lvtSEtG2o5Hs3HMTGfBWrbmmfw8qaLMv71Mi135m5pGdBMxjOohzpWIiFm5KwY1j09maxpxZWZ5pJ+JBVEBjc3XwIZLSni1hNR5CAIHYShiyB0EYYuGg0PK44Lsby3DtQamNHu4zPvO+fAe89f+bGgHtzc1lI4kpA8chYcAAidEl+AcP+1ftcaJ8qNXhUNXdd11+M1VEkMbuq4yDOCnIwyqium+uqpH7vZIRQp69s8rYrlExrc2zymdfwMeqLUExN1erIpk+qkIJl2JPX6SV47LZaY6ghS1CFlyYm5LM2qUkCY+sK6OFnmqcBWVtRTTJ/HPLas3idStUlbcWshpbMDCbUKKYcjWKxAUQHXDbBqSQ2Pb52DD7/nnH3/44LTPl+tB9fOmTX1SMIRwBEGuP6fnU5EweBPWekC+qcnd33jut8+2FUPfbCCh6IDlB0OVz471PRxoSA69V1dt0yHUdGOjH00AKkN4KzEKkuTRjOnzjwukG2tmz576DxFpEENA/AGiBQ/SHK8DXpCEprQlPtt9BvRPQtJiqeTpFI/ScMV2lElsrCCAElvInVMQD5VVIQziX4SACHjsrutQNlr4D3nhSh3L9p38QXnfbHWiH46vavtxYDiCwv0TDQu//qVoFOWPvzMc6V9QSjOHBwdyEe8gO6cQNkTyLnxHJwqIKFkLzUUz85qkmkGcJixnJlApcDctJ7oZdK0P9HrdeAGxg1BjWXzr97HDvI07Teeo2zenMhwhtWNSptvTCvtN+NvEgwi2fs0nSfl35jnN56ORAd4knRaLiiiiCEMGRqBi0YYUxUBCteJ0DfUAHHnHzjt+BmfdaNHftrRffqLBcMXD+AA8Ptf/QJr3/XGx2bOKO1wKD13184Rf1oZKOcF8m6chReHduVEoFrfTX6stBRIaQrwVDQB2oxcsgwAJ5HH5mOaWYJJVBI6gkmMm4BYx5HbzIgmnQTAJwCy5TPAiIAq6pXxhLNAbn2GNJ0D1rnjG5TKLrGJL2NGNkW2JKu7m8VnFYIgihjqgYuxuoexqod6w0XEKVxWR5UuhtP+oe1jvPcjU3veMGFfkxc6XhSKYo79Aw7PF/PXze9xw3xU/Me9zz+bq5RcCAADIwK1ABrcasatuBOHcaENwJs+X9o6WQlUyPoRE2qSPoZt5ZJzZDmk5jHN/ZB6Ak1mWHTEXClXmG3M1PuEisRnintdyXWatqQDPSKVCw6tmqg6TUFi5YMZkdKE/gAqymkrU+p3ii0+V8skntJwZNRD/7AHAMj7BPnS8bVy25QPlrsWbQXxXlAYfjLjRbXgAPCHX9+AN6xZKyqlzqe728iT3R3++S4ZcaZ1ehgLImzvExgLKAIO1ASJO4hqkNsUxJwRjdBmq5ysG8+qN1tpu2chsSiLbcFNi2/mkyirHud+m+smTVGQbYGtvi0pK5yl9NhWOl5J1c1sfgdkn7vpCWJYarsbrz09jTkZApWAp7J6fssuH89s8zA0ItDeNbdWKk9/96xpHdfv2fHYtlmzDz9LcLLjiMqE441PX/IOdBSGowPVBb9cumjmX5x28uyxs04cxZpVfYAXYDQgGIsIRkOBWiSniBZxZ1GlrCRDWD8ujB/ZNKLjBXN0zWV6H/Oz+lwJOJS2O57/eJBA5GHsTzL3seQ8c50VrEn3DQeagj6p0jTIJkIqCJTOFTA73Kq/CuxU5oG7TgDfC+C6EfJ+iIYYxS0PjeJ366rgbNqYYN1/sWL1mb9c91QULTrxHUcGXAcZLwnAAeA97347zj5xj7ho7fU/P/m4ygeOWVAYfOzZEMMjBK05DibqyIWjoFENnEeyCXozmtJyoAZmip9mWiOkLaKxrJxEa50B6BSyiVyXBfjDEFHGDdWbYLZ3MaOLRO+QDsvzJsCnc08yIplI9HPTJ0q/B1RBBYfrhPDcOjx3FIw2MDzmo5wjOG7BMApdUwcDZ+oH3vrxJ37+z/9yv3jNORceeYCNM150Dm6Oc869CDue+jFofuxfS7n57jELFn771B3bOvLOELqmDMPN9eHGu8rYsqcdglBwKXc1aeBqOUP/Hk9FSIM4y3qbjhvS5xPJB9P7HWxkAj5FvEnzKmtXxZnNqCZJrwfi6CMSyVDvj4SLZ1fiJ9tg3CAy7GkXQFsXKK7kyXkBnttXx81350FYEZ25MnrnzcBrV87pq3ktl7a3Rv/6mUt68Z53ve2lhNxLC3AA6Fn8lwCAvv39//S+tcxZ2PPAlXu23dm1fOEAOrrreGJTFVt2RoCXKBymtdWPnCyHL8Vds6x39nuSAWqDnowDaOu3Np8QkxxpB9LUuRUw08fTgFZUhSQ3AJDo05rKqJmHlbMIUyNPKAvXYXbD6YQBdBn0iQucTVoTD8+N8Oxu4G+vnYZ8sYS3nFbB0uVn7zvhxFO/cMKJ4T/li5WXFmhyvOQAV6Ojsw31WvUfzn7NarJ9s/gGHd3ZJep1cFECCAWlRPc9MdURwAa8TVcyGvzABjEhh/aKT9N8A5jL6cinOQ6Vrpi5JgrIBgPRQRYV6lLBFwFpaYVUOyDkDMdGL3EQcK2QyL0sbm40FRLGE8D6HkRGR5sTrOKJq2qoVLpw+uoz9y1etvKL9QD/UCodHXADRxHgAODn8giDkWvmLFgRRiMD3+k/MNTWAANjLgoM8KmAk+4vmHqsawuLSYIWKQ0axLpJINeZ8qB5bPPc+u94IJ4MuMVE+8VAJdY+xDDjhtwX47spjqCpByfgVBjFC6kELZ23IqwcGKEfKSp3BRBURkI5RSS/Wq3hgwKYM7sdF190Tv9rzlz52SjCP1bKRza35FDHUQU4ADhuCUJUr2VtZx6o9m+Zf/Lxnd98ZtM6lxIBh1JdOa90bqDZ2TGtdVNPQQKrr6AVxjf5tN6fND0t0gR5Mrid7ESCTaF5Ms4+JpCRUBJCElAmFjv+4mpqcIE4Q5AKWFybc4BQw4LL6beFcYIsWsa5nNpE1VlGQLVewDG9ZwdnneF97sLXr9hcLPr/Wcz7LzGamsdRBzgAEJLnv7pry82dUy7xTl325JjLvR/9x+2PkdpYjXpSr1Zdg9NcUx8DwgJvuqOVGZYf/5XiPPrYOCRrfMgiStqKk4n3FcY5FH3Q71UfQ5FYX93qDQSCC3BKtLXnkqzrPoY8aSQU/zZG1JQk1AQQoEIAJILjFHihvEpUOhdfctXnen+G+s4Gyb34GvdkxksmEx5s/NnqeQgHtzeWzO+69rjFc449bXnvV5YumAKGEIwKuDKErCKeZkGAGc4HYFnrpNg32UdbamRLh7YiMwm4ChOThwzv+BAGLTioSJ7W7UxJj6OpTQSXwOUi2calhMjTMyHD1skB1clA6DB+JGdiq9YAwWaj2LrkK4XK/GOJO/PaoQP7XjbgBl5GAAeA01YsxtLFc6obt+/bsJ/0XnnBOcdcvurURVGp4KLocdQiYDggaERETohEMvl18krySKyccEMhST7X7ISa5nhCZ3Ey+6RGGsOEjLNhnPPZNZdGIAcpYJvgFwbIuQF6OXVf0qfQ/hqEcjhOiJzXgMNCDI0wBJEPp7go2jd2/OVTezuvDGvPb2hpnVutdCx9aUFzkPGih+oPZ/z+N9fhG5++QLz7nWt/f+PP/9nvKNNTprUOOMzbh/XbBAR1kWOAy+IuV8zqBCVfjDSF6gED9Fm821ROlPVOKzaENHH4rOzB7ESr9LItb6afJNltJJpVojSlkv+B4Uc0P4cIiA5eWj6LpHo6PYJyuE6EXC5Azh/CnU/4eHb3XMxbcEZ9yYl//q15vSv/+jVn/E+xdPlLq29PdrwsOHjWuOjCP8e+viGUc+zLF77pHNoYnbnq2Y0/oVv2eaue2Bw6FUdlv6WzBDPyT2iGDj4OuGPAEAvUaSdzIuFD3QTpdU3DoCQHs/xkgvdaOpSOpRn6jOeAj5OsQFUCW/zpCAKUyyPJRpqEAJyQuO83Icn0NOCgqGOoXg5/ef+cey95x4V8weK59w6O0C+HjUE43tGTAQ82Do8wHoXxV9+9Dp7HWoaGaj958pndb9u6fRf1ojGU8lJpoXHBvkMBh5GkBaIGbjMXpxnWlBi0BDC1cOM46WZBNLHalNpNfszUWtOC271cUgljRm47MZqFJt9dNH0/67sSOzlKJZ/pRKnUPozF/QsZ43CYgMPiZUY5fLeO1gpBoTSNt3bM+PdcLv+hKAqH81M+eLQhManxigE4ADz2xFaUS7nORzc8/4mbbl+3lFYPvOXJpzfDcRgcRsEY4DICl8nOrDTJptP/sFJXKDEcTkMynODqJE8Bu8OV6iZLCLUactrZhFkUJ1XEkXr6JE0zzYiuGN/iGwZZATs5h9BPMqQqohhFDGyHw3U4HBbPJh9FEbq656F7indDuWvVepab8z0Rje1vaZ1/tKEw6fGKArgam7duR6Vcmr3u0ae/u+7RDW+55/716DswhJzPUMwzeA6B4yhwC/OpDRiAToATL0OrJmaYOkNvV9ZbtVxWHWMpTdomE2Kn1apjGDdSWr7UFUnUBnjSajmxvlDfD0mQRv+gVis7YaQSC+uz6jOMCDiOgO9G8N0AjAXw/AraupairWvhDR3diz4ZNEa2tXUcWvP5l8N4RQIcAPbs3Q/Pcxesf2rLcQODo594YN3TZz6+/hnwYBjFvAvXiYHHhUAYCT3dXkINmlsdK76tgMO5GeWL2WgCysR6M5YAnFGiLbwGuHGlrRwX2FTFBreiDkh6f6eOxTm05AfYGYnZLZglwIWsg41ins0kLXFZA91TfEyb0YtKx+I7qVP8XqVj/mM8CjaVWjqO9k9+WONl62QebHRP6QSATUKITQDWj1aDaatOXvzjzZs2LHjk0ccYRIS8T9EIgbAaIeJC+2BpC8oMSgHEORlc9tWLdWUZHVT0gMockFTs3lRBrFK21HcXKloDY4KylLYvD9lMYYypAAkxJEFudCUgMn9bCvTU8IrVk4ALilqDoloXyHkC+ZyDnrknRAsWzN3kstpfTp19+i4AGw6ngPrlNF6xAFdD/gAb9u7t28A5P6+jLT/j9FXLr7/v3rvLjbE9xb19A9g3yBEEQN4DCEse5fHMC0RaSxpHTIWyjElOhrKUAkZjG2nNDXfPsu6mQqOHkDcLoBOZKIieYoTLiCI1QU4SGZTR5CYVMlTOZXZgxGVsQMiblglJveKp+ZJ0BIFCLkK9EWDjdgpOyliyaMboqlWnD0VRuLata+ZOSum2Vzqw1XjFA1yNKVM6wIXY1t3duWNgaHRJMY+VRZ//5PENW0o7f72xdWD3LhASIQwFiBPr5OpHdxiF61A5R41AEHJEXAJciLhWNFJtFwQEiyvJEyDaFfXp2SIA6H4lkDeQSi4RyieAYZH1URPr7TiyCwGNp7yOoniSVnXsMAKCML5JGAVcEB15hAAEl5OBgYAQilk9uWGvbcmBzu5lTrlEPzh95pz7fL84CAhOyMsq/veCxqvjNk2NoYFdIJTRYO+tBF0XvXdoePjSP/zu9saj67eQ4eHRRYyEuZHRMVBKUMgx5HMMed+B68YAHxkNMTIW05owEqjWBeqNZOZdzyXwXQLXIfBcAodROA6F48TL+qlAkwATlyAMQ4Eg4jp5ypzWxKEEDgMcB3AdwGUCnivguwK+J+C5ERwWT/VXbzCM1SjCEAg5wfAowfBYfFzXpch5AgVfoJCL59Lx/QJKBVZzvPzT+fJ8d/ny4659zwc+8rd/8/Wf+FO6SrUgiPjsWdOP9k93xMerEuBqDI2GoJRieHiQ/O6O28C5w8rl4o/q9VrvU888u/q5nbtZ3g1RyFP4ToRKC0G5KPDIphB9BzjyfuxA7h/keP4Ah8cEij5BwSfI+QS+R+C7FJ5D4bgUDpNglzKlwxLZj3OgHgBjNY5GwMG50HSGMQrG4nM5MkLrOtDAzvkCBT9CIReikA/hOhzP781hb78Ph8Ug3jcQ4tGNQMGLp1ivtPhoKzNMn+KgVOmOWjvm3JXP+Rsa9dGPDo1E0SmnrkAYhqK9c87R/ple1PGqoShZo1zU/5566ocH+gc+lM/5bcuX77/ihptu84b6d0VdnaWTcq5YXnR3Y9607bhlnYehgSLmTXUwvdNFz/RRDD9Rx45deUwB4DoCvjA0bQoDrAm41ct1pAY9BgwMRRitRjE1khZfSFeTII4gRgRgOjckdiwdR6CYD9FRGcHWvQEe3EjhCA/TOwU6K1WMBX247+kWrFxUwfy5U5HPOX/KufV1M3qmscXHnd3IFzu+FIaN/qNZfHA0xqsa4Fmjva0VAPoBfAQA7r3nLgDkTCGCc9uK/Wu7KrMWrlzB8cA9O9BaoehoDXHKsUOotA3gO/8+FcPVPCqF2IFjkl4oqVBFUHVU1QE8RyCf42grhRjMN/DwZoKxEYLWEoGvpiIGEM8OTUF4fONwnjiOnMe9SloKITiG8W93AOueCLD62Aa62ktwfYpjFs3Hm17ficU9Lc/M76lcXyj4t3Iu7jzt9NVH+5If1fHfDuDpseq01QBwZ73adyeAPzJan3/u6n7+7DP/wRctnDq3d177F1pyT2Np7wja28ZwYHcVnSWBcoHBYb7unGVq1Q4jep5OhwJ5T2BqRxVeYRC7houoDuaR9wRcR4BzAU7iogGA6zRVRpLptQkClPINUIzC8Uvo6VkA5hRx1qpZYGLoSrC9W5cuOZfO6e2ipby7WQC/nTbl8CduejWN//YAV8PPdwDAb9X7gf79cFyvdbB/9731wQBtzljw7rd0f8onWNNa4Cj4wKaNj2N/3xAYpSgXGZgD1OshCOpgVKARxGmphVyIvDeGXNiP4VFgeNjFjDZACIaIc9TqHJ7LUCnnwagDSgE/x2KlxinghJNPQGsZaGupw/Mat/UuCL4zpT3nnnjCEszumX5ntVYf6O7uOtqX8GU5XtVO5pEcG7buBoC5gofdLhOcigh33HELtm7bC0YpWlsYeNQI5vcef5lLht9ESSPoH3ZACNBairBwziDG6n344U1lVEcqWDyToFxkIAToHwpRKvju9O7KLffe/9BlhXzObSs7EILD8dtw4QXno1h04DmcMkb3ANiaK77ywuZHY/x/gB/B8eAD9wNAd1TfXYGoi75BBwBBSzHCgp5h1IJ+XHt7CY1qC3qnMRQLcTp+30ADLcUc6Z0/Y1AIsWfFKace7X/lVTP+H6mV4DFSz4TNAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjIyOjI3KzAwOjAwX/dHjQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoyMjoyNyswMDowMC6q/zEAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202501000
{'hecke_orbit_code': 36029896564147696, 'n': 1, 'trace_an': 6}
-
id: 202501001
{'hecke_orbit_code': 36029896564147696, 'n': 2, 'trace_an': 0}
-
id: 202501002
{'hecke_orbit_code': 36029896564147696, 'n': 3, 'trace_an': -1}
-
id: 202501003
{'hecke_orbit_code': 36029896564147696, 'n': 4, 'trace_an': 0}
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id: 202501004
{'hecke_orbit_code': 36029896564147696, 'n': 5, 'trace_an': 3}
-
id: 202501005
{'hecke_orbit_code': 36029896564147696, 'n': 6, 'trace_an': 0}
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id: 202501006
{'hecke_orbit_code': 36029896564147696, 'n': 7, 'trace_an': -4}
-
id: 202501007
{'hecke_orbit_code': 36029896564147696, 'n': 8, 'trace_an': 0}
-
id: 202501008
{'hecke_orbit_code': 36029896564147696, 'n': 9, 'trace_an': -8}
-
id: 202501009
{'hecke_orbit_code': 36029896564147696, 'n': 10, 'trace_an': 0}
-
id: 202501010
{'hecke_orbit_code': 36029896564147696, 'n': 11, 'trace_an': -10}
-
id: 202501011
{'hecke_orbit_code': 36029896564147696, 'n': 12, 'trace_an': 0}
-
id: 202501012
{'hecke_orbit_code': 36029896564147696, 'n': 13, 'trace_an': 3}
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id: 202501013
{'hecke_orbit_code': 36029896564147696, 'n': 14, 'trace_an': 0}
-
id: 202501014
{'hecke_orbit_code': 36029896564147696, 'n': 15, 'trace_an': 1}
-
id: 202501015
{'hecke_orbit_code': 36029896564147696, 'n': 16, 'trace_an': 0}
-
id: 202501016
{'hecke_orbit_code': 36029896564147696, 'n': 17, 'trace_an': 3}
-
id: 202501017
{'hecke_orbit_code': 36029896564147696, 'n': 18, 'trace_an': 0}
-
id: 202501018
{'hecke_orbit_code': 36029896564147696, 'n': 19, 'trace_an': 0}
-
id: 202501019
{'hecke_orbit_code': 36029896564147696, 'n': 20, 'trace_an': 0}
-
id: 202501020
{'hecke_orbit_code': 36029896564147696, 'n': 21, 'trace_an': -16}
-
id: 202501021
{'hecke_orbit_code': 36029896564147696, 'n': 22, 'trace_an': 0}
-
id: 202501022
{'hecke_orbit_code': 36029896564147696, 'n': 23, 'trace_an': -14}
-
id: 202501023
{'hecke_orbit_code': 36029896564147696, 'n': 24, 'trace_an': 0}
-
id: 202501024
{'hecke_orbit_code': 36029896564147696, 'n': 25, 'trace_an': -3}
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