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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 102, 'char_orbit_label': 'dx', 'char_order': 6, 'char_parity': 1, 'char_values': [1680, 6, [1471, 421, 1121, 337, 241], [3, 6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 31, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [36, -36, 6, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 6940700706448, '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, 28, 6, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 102, 'char_orbit_label': 'dx', 'char_order': 6, 'char_parity': 1, 'char_values': [1680, 6, [1471, 421, 1121, 337, 241], [3, 6, 6, 6, 1]], 'conrey_index': 31, 'cusp_dim': 720, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 6940700706448, 'hecke_orbit_dims': [4, 4, 4, 4, 12, 12, 12, 12], 'label': '1680.2.dx', 'level': 1680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 816, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 6, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 144, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 8, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 112, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -216, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, 264, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 144, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, -336, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, -288, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -192, 0, 0, 0, -144, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -120, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 336, 0, 0, 0, 24, 0, 0, 0, -208, 0, 0, 0, 432, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -360, 0, 0, 0, 72, 0, 0, 0, 96, 0, 0, 0, 144, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 72, 0, 0, 0, 112, 0, 0, 0, -80, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -48, 0, 0, 0, 288, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 24, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 104, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -72, 0, 0, 0, 224, 0, 0, 0, -312, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, -336, 0, 0, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, -96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, -48, 0, 0, 0, 288, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -56, 0, 0, 0, -16, 0, 0, 0, 504, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 480, 0, 0, 0, 432, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, -8, 0, 0, 0, 336, 0, 0, 0, -16, 0, 0, 0, -72, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33589705
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 6940700706448, 'source_is_minimal': True, 'source_label': '1680.2.dx.a.31.2', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 6940700706448, 'target_is_minimal': True, 'target_label': '1680.2.dx.a.31.2', 'target_level': 1680, 'twist_class_label': '1680.2.dx.a.31.2', 'twist_class_level': 1680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33589706
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 6940700706448, 'source_is_minimal': True, 'source_label': '1680.2.dx.a.31.2', 'source_level': 1680, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13517739582817936, 'target_is_minimal': True, 'target_label': '1680.2.dx.d.31.2', 'target_level': 1680, 'twist_class_label': '1680.2.dx.a.31.2', 'twist_class_level': 1680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33589707
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 6940700706448, 'source_is_minimal': True, 'source_label': '1680.2.dx.a.31.2', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13517739582817936, 'target_is_minimal': True, 'target_label': '1680.2.dx.d.271.2', 'target_level': 1680, 'twist_class_label': '1680.2.dx.a.31.2', 'twist_class_level': 1680, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33589708
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 6940700706448, 'source_is_minimal': True, 'source_label': '1680.2.dx.a.31.2', 'source_level': 1680, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 6940700706448, 'target_is_minimal': True, 'target_label': '1680.2.dx.a.271.2', 'target_level': 1680, 'twist_class_label': '1680.2.dx.a.31.2', 'twist_class_level': 1680, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2126675
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 6940700706448, 'p': 2}
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id: 2126676
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 6940700706448, 'p': 3}
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id: 2126677
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 5}
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id: 2126678
{'charpoly_factorization': [[[49, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 7}
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id: 2126679
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 11}
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id: 2126680
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 6940700706448, 'p': 13}
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id: 2126681
{'charpoly_factorization': [[[676, -468, 134, -18, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 17}
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id: 2126682
{'charpoly_factorization': [[[121, 22, 15, -2, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 19}
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id: 2126683
{'charpoly_factorization': [[[4, 12, 14, 6, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 23}
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id: 2126684
{'charpoly_factorization': [[[-2, -2, 1], 2]], 'hecke_orbit_code': 6940700706448, 'p': 29}
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id: 2126685
{'charpoly_factorization': [[[9, -18, 39, 6, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 31}
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id: 2126686
{'charpoly_factorization': [[[9409, -1940, 303, -20, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 37}
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id: 2126687
{'charpoly_factorization': [[[676, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 41}
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id: 2126688
{'charpoly_factorization': [[[169, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 43}
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id: 2126689
{'charpoly_factorization': [[[144, 144, 156, -12, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 47}
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id: 2126690
{'charpoly_factorization': [[[64, -32, 24, 4, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 53}
-
id: 2126691
{'charpoly_factorization': [[[2916, 972, 270, 18, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 59}
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id: 2126692
{'charpoly_factorization': [[[2704, 624, -4, -12, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 61}
-
id: 2126693
{'charpoly_factorization': [[[4761, -828, -21, 12, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 67}
-
id: 2126694
{'charpoly_factorization': [[[676, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 71}
-
id: 2126695
{'charpoly_factorization': [[[2209, -1128, 239, -24, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 73}
-
id: 2126696
{'charpoly_factorization': [[[1089, -198, -21, 6, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 79}
-
id: 2126697
{'charpoly_factorization': [[[46, 14, 1], 2]], 'hecke_orbit_code': 6940700706448, 'p': 83}
-
id: 2126698
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 89}
-
id: 2126699
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 6940700706448, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 102, 'hecke_orbit': 1, 'label': '1680.2.dx.a', 'level': 1680, 'portrait': 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JUMxx6+Fghr2DBtmJ9KWO4GdIeCUeyxMhBsnjIsdQwnzitqns/mWdi+IWTT3IiNc2M2z43Zvsmyc7Piyh0eddXk6Ik29z7p8/CBmMePRySqx5te0uFtL7LU1RwHjk9z9Izm9IWEcym4Dy1abrx6gZ971wo75qc4c2GaCys1ljoeyx1Jp5fQHRh6I9h/ZJF9J7pXPn7g3EuPnTp70fHT579486u/M7zrlk8825D4pm7/oBl8eaXDYGTxNO+98+FDL/rPv/mX8ntecvRF//67TunFlS0srk6xtNpgseOz3NEsdWC5k7DciVhaTTi3CoeXBBvmV/mF71/i+Zc1OHl+ljMXmpxZ1JxfspxbjDm1kHChFzM9O+LF1/Z5wRXgyzqBCji/XOPsoubcsmAwhjg21HxDs5YwMxVjgOPnYrp92LXJo1kfY60A4dMfGnZuHrO0qsE6KbLah3EMFstyJ2TbRo/eUCGURZgx7ZrHzi0jVgeC42c0idHMtSWtmiDwII4Fg7Hk3LLk7JLl/EpMEIzAi7n5qj4vulqwoV1naaXNyfMBZxbh/GLM+eWY08tweMnyvKsW+cXvX2HzdJsT52Y5t1RnYcVnsSNZXk1Y6UasdBOWe5aFnuB4R9BdXuE3/8M4/v43BHfruR8zun713UokPx2ZgKDWfrah8oy3f7AM/qcf+QQ333QDP/Gf/uMv//knvvrvf/cjX71k34nORYfPDOSLrhly8RZDnGisleldgJWABARCWLSw+BLOLNW5/5Dk2j3LXLFjRKMGnpb4nsL3Nc26pOFJBn2P/cdq3Pqwz/ELY7pxxP6TYzbNLfPmF69w7SU9nndFh2OLMYsDQSMYceSMpdNtcs3FktVRwt5jilZD89RxuHSrZRQmjBIfrSNmWrDvZIDSCZ6M0R4Mx5LnXzFgOJBce0lCd5hw/EyL3ZsVzUbI6tiycXrASr/LX34VHj2a8PjREbu2LnHd5V1mZkPeeHOP73qZZc/mFkk0zdHTUxw+5XHynOHUhYhTFxIOXxCcWI14zmUL/ML399g0Pc3Jc7OcX2qwsOqz1JGsdBI6vYjVfsJq37LSh3N9xWov4qYrl3jPWy/IhuaixfMndg+HyU1eY0+93pz58gN3/S1/8MG/eLYhs+7tHySD//Un/obnXLVD3XbPgf9y5Ni5n7n/sWPq9FLI0khzbmi4btd5fv3HLnD9ngbnl2ZY6jRZ7tRY7ngsdzUrPVjpJKx0Y5Z7MYsdOLki0PURL7x6me9+WcjujU1W+20uLNdZWPZZ7AiWO04irPQM3aGhO7YMRjFz7YidmwwgCDzLqQseQgbs2qjYvdWydeOA8ytjHjvY4rmXWhr1FZ48NEurGRKGHnMzhuEIrtw54iNfnebyHTHjsWV+ShIlQ1q1gKeOjah7Ta6/LObxIyHnl3y2zQXs3gI7N4coFXFqEXzPIoRl16aYmZakNwzoDzy6A4/lrmJ5FZY6huVOwmIn4VwHlkYJO7f1+e6XL/LCKzQ1r83ZxTaLKzUWVzXLXcFKx7Dai1jpOXAv9eFcT3FuNeamy8/xvh9b5LLtTZY7LVa7NTrDafAvTbza5l8ecukv+vZU8srXvOXZhs6a2z8ogB84cIBarVY/c+bUzsefePqdx46f+aW9B07SHwu6Q1gZSi4MJGd7Ec+7+Dz//ceWue7iOhdWZlhabbDSrbHc9Vjpala60OkZVnsxK72Y5a7lfEdwpm9B9HnbSzq88fmGi7fUCMMGK50aq32fTk+x0hf0BoLR2BLGliQBJS2BB/XAMt22bJyN0N6Iw2dDnjgUYOImr78pRHurPLR3iou2wOfvj3nJNQEXOkNqWhEnEbMzEEce2otZWmrw4hu6fP6eFru3wIMHx3g0eN3zDbEY8sThhKOnamjps2lGM9MU1AOB7wuUgNhAGFlGIfQGltW+oTcwrA4MS33LMEnYtX3AG1/Q4W0vCsG0WFqd4sJy3entrmalA6u9hE4/ZjUF9/IAznYVC92E5112nvf92AWu2lVncWWa1V6DTj9gteextCrw6ttptDb/7PaLLv+r7du3nxiPRsNLL73s2YZSfvsHA/CjRw6xYeMG/+DBgz946OCh9z/y6GNiaaUvhyNDb+ju3aFgdSi4MHQgf/4lF/jVH1nihktqLK5Os7TaZKUbsNrzWelpVnuCTs/S6Ses9mI6fcNK33KhJzjbMcxMD3jN83rcfEXMrk2Kdt2j26sReBJQhLHEGIGxMBgBwjDTGnHwtMXYkFsebDIe1Llkm88Lrx0QmVXueHia6y/1OHiuT2elzQuuHfDlhwI2zVr2Hrf867d22XssYNOs5NaHFS+8UrE86HLk5CzXXxZyxxND4nGDm6/y2bNjxDDu86WHFCSCw6c07YZGCxgMJcYKEmOJYkAatG/o9C3NVsSOLWNedOWA1zw3Zq5Z4/zyFEurdVa67tisdAWdPnR6MZ1+TKef0BlYlgeScz3BYi/mpssX+OUfWeC63TUWVqdY7TXo9gO6fZ/uQNMdKDo9iG3NXHbFtfbii/e8Z8+eSz68uLgQ/kMB+T8IgEdRLMfj4ZvvvesLlwyG8fvuv/9BL05gHFmGo4T+MKE/MvRHlt4QOkPJhaHkTCfm5isv8N4fWeC5e3xWu1MsrLTo9Gus9nxW+5pOT9EZQK9v6Q5iuv2E/tDQGVgW+oKFPkTJmOsuHbJ5NqE/sLzhBWMu2myIE4mWljCC2x+rceJCjS0zMU8eroFpcMV2xQ2XG4LagIcODlhYbHL1RU3a0yvc87jHjZfWWBqssrLSZvNmy/17Ff/8lX0e2KvZvtFjsd9hZXmWG64ccM+TCbP1aa6+pM+FTof7n56mrps873LLZTtHIPs8dlSwcTbi/ELEHY95jCKFlJAYy0VbQl7zgpBeX7F1xnDDpRCGDZY7DZY7Aat9zwGyL+n2oTtI6PYTegPnmKwOLMtDyemuoDMc88LLFvjFH17heZe6i6PTq9MdBPQGHt2BpjdU9AeK/gj6w4RxmHDDDc+LrFA/8dbvePOhRqP+GU975tnG1rOeyRyPBsTh4PtPHnno1y+cPTh74cIy7aZkHLpA0Vpw2XgQOAtQCIOUFik1DxzYxE9/UPPWFy7zPa9cZve2kHNLbQK/Tj3waQQezbqmV5e0hh5TTc0gvWg2jQ3DsaU3ClheqHHqpCWMDafPxQSBBQS+smgpGAwVAo94oHnORYI9Wy07tw0YJz2+8IBi36EZXvvcgBuuXOFPvmDxRYOLtg14/B7FtmnFfHtATdUJI48LPWjWNNs3CR7dF3LDZXVedv0if/zZIb7X4tU3WbxgwFfuD/n8fU2ePlrn4q0NLtqSsGEmZPd8xDUXJShl0MoClkYQsGE6IIw8egOfJw969EeawVDRH0n6Q+iPLP2B++69YUJ/aOkOLatDWBgozq9YGlMdfvz1C3zHC8dcd3GTs4ttOv0avRTcvaFy4B5KBmMYjd0KEkaWO+9+wGtPzf767Nzm5Ze9+Pn/rtcf/HGr2fh/L8CjcICAHz57/O73Htl322w86tOs+UgpkcJBumz0CAFCuE4aJS1KJvhS8vjBDTxyoMnBMxd464v6vOiqEdOtNsudBs1ujfbQp5+xzkgyHGkGY81obBmFhjCyRJElTtw9jH2sAakEnhbUfMF0SzDTgs3zhu2bBszPdPjiQ3DnIx7STPHa53o854oedz0dEY7avPA5gs5wyIWlJjdfZpifHlDXAaNYsdCNUEbwnMs0jdaYh/fXeOkNU7zguh4P71dgp3juVT4/9KZlvvxoyK0PNNl7osbODYrNs3VmWg2mWlAPwNMWJcFY2HtUkCSCKBaEMYwjB8DROGE4NozGhsHIMBgb+kPojmGhL7nQg7EZ8arrl3nzizr8s1cb4rjNucUm3X6N3tCnP/Top+AejIS7p8dvNE4Yh4bhyHBu4Qwnz31htttP/s/veNNLdbc3+GC79eyB/FkDeDReRIjoh5bP3PbehZNf2eiJIVOtgOEocewsJEJIhBAIoRBCICUpuEEpi1YWTxnqnmBxUOdjX93OVx7p8pJrVnnXq1a5ZnefuekGS6sNesOAwdBLga3cPRSMI0kUC+LYLfXZaqGkRWuo+dCoG2ZbEds2Dojpc/B0xF/eUePIySbTQZ0br9LcfG2X+w90uOXeNjddWmPnlgEf+apAiYB2K2K1P8ZYUAI2tAd0ez4mrvPml1zgY59vsOd8jTfeNCCMlrjjiTmipMbzr9rIG2/scumODl95eMDjJxs8dtRn+6xkti1oBALfcxehTC9+Y8EYSxSnF2tkGUcpEEMYhtAbCVbGguUeCD3i+stXeddrVnnJVQlz7Tor3QadXp3eIKA/8ugPi5VgMJYMRzhwjxNGY+Os0LFlFFrCRLFwtsMfffTWjZ0R733HW15sT59f/aNtm6b/6QP83LJFKsSGhrCDhY//QBL33zdcfHreEwOajQZCxClLp3cJQmYglyipkTJBKZEuzwZPWQJtqWvBykix1Jnh47c3ue/JPi+8bpV3vXqV6/d0mEvqxHHAYFSjP/QYjjVhpIhiSZxIEiMwVrgsqLAEvqFRiwn8EN8bc3ppzGcflBw65XP01AzKBOzZ4nPlbsVzr+iiggWeONxi23SDqy+GzRtWWO62uWabJDaWLz4QMB5Ippsxr3v+iM/cEXHiXIvLL/E4uzriqSMeOzbNcN3uBe56vMc9TwnGoc8Vu2e5YkfAFdt7HD67zKHT8MC+BgePNGloQaAlzcBS80BKt+ZZ6y7WOIEwhjARzokaCboRhCbG2BHPu7TLu17T5SXXJGyZDRiNpljq1Oj1A/ojn8FQ0x8pBiPFcCwYjiTDsesbHY2TFNiGUeguoGFoGY5hHCvOnOnwmx+5beO9B869b366Hv/oe2/5k0unHuIn/vVP/NMFOHaEsLWXHD31wB/VBr8x29Zn5zUN6rUmlgisSCWIRUoXQCkJSgqUEmil0keDVgmeFvja4HuWwLM0/ITpmqA39ljpzvCJO9t89bERm2YGvPPlHa7YMWI07HP1bsuOzYpx5JEkisS4RJHAIqXB0wnHz1uOnhOsDg2fvqvB6cUZbOgxU1NsndPs2qy5eBtcvaeLkYt84DNNlpenuOkKzdV7OnzlMYGIPTbOSJqNmEHkI60EK1HapzMSnF8WXGUbvPy5Pe5+uM7WeZ+brp7lX75pkQ9/vscD+5v0Rx5Lqy12b61z+ZYBz7+sx3e+tMeZ5WU+fVfA0iDg+FmP06d9PCWQUiIQGGtJDETGksSGmbmIa68aMB5HXLFjzNtfPmbjlGK2FRBFNc4u1BgMfQZjt8oNc2BLB+6xYDQmlySj0DAOEwfulL2HIQwjQT8UjIzm5JlVDv3V7fOvvbH9W6968aZoe+Ouv/hPv/K7/J8/9a/+6QH83f/lg2yeq4m/+/xv726o/ZdtbO5ndptPEHgkZuykgXXLrBCkIHdSQUqJkhKtBFqlj1rg6QRfC3zPUPMs9cjSCC1TtYSZumAQSnphk6OnmvzqX8yCiRFxzHOvHbB7c0gcg7EGa10SRwqBVALt+ew/4bP3UI1mTdPyJfMNwYY5ycZZzdYNil1bEi7ftUoilvjtT7Y5fmKamy7zuOKihGHc494nAqbrHnNTlulWSKPupJAxks5Isdy3LHUSOv06L756lQf3Dth3QjHdrvH8q6b5kTcv8TufgocPNekPLas9zfnlNpvnG2ycGbFrbsR/fMeAdqPD40dh/0mJ51mUckE4WPc/C3EMF21OeOE1MUnkEcUB1jYYhR7nFn2GY7eijUKVy7dhKBiNBaPQsfY4dFnZ8dgwDg2jyKTvZXcYRIJhKOiGgpVYMDYxREMOHz85fcUlwz/cdf1L4/f9i+Dj7333+6ye/3+Gyf8fAfiP/sKfsmXzBvXP/+MH3vbeD535wNP7j/Cy62f5+R/ucdWuQf57QpC6IxalPJSyKKlQSqV6W+Jppzl9TzH2JOPQEIQJ48hSjwzjyBCGlnYM48gwjiGMBaNIMk4CoqTGvkNNHtsHibU4aDtt7Enwlav5aAVw9RZo12GqKZlpKeamNRtnYefmMVs2rBLZZX77k1McPjLFDRcrLt4u2bN9hdueijm/NMVzd0tm2oaaPySQAVYJ4kQirCVOQlb6Nc4vedxwRZ3nXNbjrodrbJoRNGotbrjM8ONvW+K3PmV46nSL1b5htadYWNHMTzeZadeZaU/RbkRsaEbsuiEk8GI8HaNUghQumLC4iyqKFBcWNFGsiGJFGCnGUfoYSsaRZBxKRqFzsMYRLkYJLePQHddxmBCGqaaP3PujEEaRYBRBPxR0I8FKKBmEEYwGXH9xl//6wz1uvur+Rmtq/CfRhT0mkZd8cnT+N5Lapv/9Hz/A/8Ov/CXTrbo6cerC2w8cX/jj+x+9UIONfOr2MYlR/OKPrnLV9j5K2DS4NEhpUMqgpIeSFk9ZPK3wtMULJb4n3EnwBGNfEUYO6FFkCePEuSJx6Z5AnFiSxJAYnN425OAWwkkhLcHzINCCWiBoBJJmQzHVkMxMCTbOxuzaPKDVXOWTd4fc8cQsq4ttrt2p2LXF49IdIxKxyhcfaND0NBtmFK3GiCcOw9NHNNfssAzGiusujbh2j+Xc2YSFFZ/hqMHrb+zxtceHHDytaNYlgd/mmosNv/gDS9z+1JDP3D7PUteya2PCSkcz3VZMNT1aDY9m3VILDIFvCHSCVk5qybS10lpcwsoIYiOJE0EcC6JYEsaCKJKMI+e8hJEgjCxhCOMoIYwMYYk4xlF2T12aSDCMHHt3QkknhuE4REZ9rr9ohV949zLf8eKIUdhgNDxSG9r6nxnV/BcJm/968dgHkvmL3v2PG+DTXiKHnZXvOXbszO89tf9UzW82iZIEq33+7m5NOFa8/ZVd3vHKPtPtBK3qKGlSne30sKc1XqQJtGLkOaYZe5LQF4SRcCcnUqkfK52DEBe2X5wYksS5C4m1uRwCcndGSSd7fC0IfEktkDTrgnbDMt0ybJods2GmR2xX+fjXJB/+/BwbazWu3SnYucXjoq2GXVtW+OS9luXlGldsVsy0odWIOH9McmElwN8N40iwYUoyPQ0Hj1pWuoZzizUuvajGK5/b47N31phrQeD7KDnNNXsE737jBTx5gb+7a4anT9fY1I3YOB0z1VS06opGXVIPNIEPgQdaO4dJClK7NQU57sJODCSJIE5IgQ5RYgljiKLEkUJkCLPHyKS2Y+bKOHAPY8EoEvQjQTcWdENLNA6ZCrp89+uWeMcr+7zmBkO332QcBUSxJh4cr+G3/hDd1Fb4H8XxzD9OgL//jz5FkpgfePK+p//78cMn25ubmkECg1gzlIpYar74gMe9T9U5u7zEv/7OATPtiJpfpzuooZWPpz087eGHCaGn8UMnTcLIpdId4wjHRCkrxTFECSSJcxKMcQGXMTbr4UzB7QDuAleBpx1AagE0aoZWPWa6FbNhesj8zCp37wv5s1vq7D86zUVTHns2w/bNPts3weU7uwziLvfvbVNXHhtmFNMtmG6NmZmK8X2dJ66GY5/lbsTqwNLpx1xY8dm5ucULrrjALQ8M2H+6TSOI8JSPEFPs2ab4vlcv8rzLL/Bnt7S4/8lplvqaje2Y6UZMoyap1xSBJwg8iee5WEUpUvvQodzieliNIQd6nJh0dUutxdgQJw7ccQRhbIt75FyZUQrsQSToxYJeDKNRjImGzDV6vOe7lvgP3zugUfPo9lqMw4Ao9ghjTRRpRiun27pe++3W3LX+0b1/8+HdV37nPz6Ar6x0UFL+8O996G/ee/rUqbmpuiBMDH4sqEnBIBb0pMdIKVbHHv/9rzz2Hl7hzS/t8/Lre2yaD+l16wzHAb4XE/ge41AT+M7eywAeRZIwdstuFKeedkJq/ZEyt8RYCnC7JGXu0mjlEia+Z6n5hnotplWLmWmP2TLf5XxnwPs/7fHFB2dZXmlyyQbBzo2CbRt9tm8U7N46QvurfOwOzZGTTS7bJJlpSaaaCVKOOb1gCbRLXlkrCCPNro1dHiChO1CsdC3nl+tctr3Gd768w19/xefY+QBPRwjhYWyTKJY8d/cKu763yxcfHvCRL87y0LEm22YE882EZi2h5gsCT+B7LlbRChc4S5HXZFjcRWYszmlJHOAzkMeJk3QO7BAmaaYySx7FgmEMvVjSj2EQGpLBmO3zXV52wypvedmANzwvwRMNVlZqhLFPFHmEkSaKNeNIMw4lYe/cHP4l77v8uu9So2H3g7X6/5qa8v8lAF9Z6eB73r/8wq13vPeJJ5/aWPetkwCxdTpXgictfiLox5K+rNEJNR+7rcbtj/e44You3/vqAW+8qcPcdMBwFDAc+wSeRxhnB8uBPI4VUSKJY0mUCOJYkiSCxIhCaxtBrkpsGswKlyxSabLI9wyBn1APYlr1MfPTfYbRkK88YfnL26a4/8lpZnyPa7ZZtsxKNs35bN0g2b4p5OJtKzx+bMinv7aBKaXZMCVoNwXtRkRnkPD5e2u0fOcOGQvDsebNLxzzuftcTUynb7iwotm+scVbX9Tn/n099h70aQYxSgoHctNgFDqt/32v7HDZlgt87PYu9zw9zYmVOpvbgqmapeEbatrge6CVQEnSBJn73ln5kUmlmjHFChenQHcEAVEiiJIU2IlgFDti6ie4mCcMadYHvPW1y3zvq7vccFnCplnNcNii0/cJI9+dq0gTRpow1nlwOx5Ljh89sFH59773kitfbAb97ocazW89yL+lAF9d7dDvd5GS77/tzq/92pdu+epct7tKPZCpn23Tu2NNP4ZAQS0W9KXHwFOc6vqcua/BfU/0+etre7z9lUNe98IRs9M+4ThgHHuEkUeULndRrIgTRZykCZukALixKXOboqYssyGdzrdobfC9hMCPqAchrfqQhCFffljyF1+d5smjU4go4KIZy5Zpy/y0YsOsz+Z5ydYNETs3dzm50OP3P9MkHtfZvl0w3dK0m9BuRAgvpDtsMt2yCCGwFqJYMhsoYhPTi3x6g4SVruL0Qp2rLm7xo9++yvs+GnB8oYlWUXphaOK4xiiUbJ4LeO4lXa69uM9Tx0/zl7fVueWhac506jQDRcuHpmfxtcVToNNjLkS1us4A1riLLjGCxEKcCOefJ4IwcUmiYSIYJjCMLXEcY6Ixc7Uhr3/VKu98VY+XXBMxVdeEcZOVjquHye6OiDRRpAhjZwg4kEuG3Q6rD96+cRTKX7v8yufFF86f+dN6o0mr9a2bn/gtBfhgMKTRaL/l4Ycf+Z3bvnpbe9Dv0qhpwsimwBLOApQWFQu0tOjE4klBTQnqiWCgAgaxx4Vxjb+7r8kdTw54/q19/s139bhyZ5eN04p2Qzt2iD3iuAB5kgHcyLRH00mCvFhLpKl+ZV0Qq2MCP8ZTId1hxEI34jc/WePohRke3juNNT5zdcHGecv8lGCurZib9tg0J9k8F7Ntw4C56RW++IjhoaenuXa7YKYlaTUk7YahWQ8R3pgg0Gjl/r61kCSS4VgzHEXERrhy4L5luetxbqnNzZf3ecFVq3zs1hr1ZYWWkQOk1cSJTxi5Hs/56RrP29PneZf0eeBlZzi+IPmzW6a5sNrg1FKAryRNT+BnMky6wDMn8kyq4Jg8toLYQGQE4wRGMYTGQhJDHCHVmK0zQ67d5c7HjVcmtOuaOG7S6QWMI5841lVgxyp1a1QqJzOQC8JYMuz1uPuu2+fiRP3OtdddvzIaDT/9rcTktwzgx44eYsuWTepP/uxjlxw6dLDd6axSCzRhbHIrTgoHbCUcyHUCOnFA9xNLkAgaSjBUgoEOGCYeS2GdWx6a4u6nhzSDMf/iDR22z8VctHXIzVf30MK1iAnh5IrLSrpaaWtLzI1FSIsSzjO3xCBjnjoqeXCf5rP3t3jqRIswbtDSig11y2zTMtOwzgdva2anNHPTgs2zMVs3DNmyYYU7nhzzgc9uZMu0ZkMb2k1FuyloNWLqwZi7DyhGocZrOlBZ605sTSuuv2zIfU9Mu8KnYcJq12NxNeD84gw/+sbznFpc4r5HN+BJQEQYyAE0DiX9oWamVWO63eQFlw142bUDvvcVC+w7afjc/TXu31fnwJEmsdCMx4pBpFB5fU858ExzAtYQG4s1Bk8kTPkhNSJecEOf3VtGbJ+PeNfrxtR9SbPuEYYNOj0/XUl1Sjgq99ozcGd3B3JRMQcSIxn0Ozz+6F3t3urZS171+neogwcPJZdeesk/HIAf3L+XdnvGf/yxh36wWbP/fThYxfM0cQKeFXlQl4NcClQCOnEMrqVbGr3EEiSWmhI0EsHYwCjxGCYeg6RGr5fwax+bwcYRmzaMuGrniLmpmLe/csjOjSFRJFK9LaHE3PnflgYhBZ+4vc7jh5sIrTl+psHp8w1qdcVUIJhuWto1Q7sGrbpgqqFotxQzLc3cNMxPx2yaG7FtY5fErvKJr7UZ9ptcut3SbihaDUmrbmjVYjwv5Iv31RgPJN5G1y2aSZRmXfH65w+58xFDfyzpDxO6A81qT3NuqcGVu1u8/SVdHn6qwfHlFkoaIEr1skeUuGV+FEr6I02n79OqN2jWx1y5fcRNl484eaHDsbOraC/hsSOav76tgVCucI3J+YPWAAasJQoTdm2Keecrh8y3Ey7fZdk0B0nsMQ5bxLHHStcjjhRRotM4yAE6A7iLiWTqaon8eRQ7YMep6xUnAqTi1NllWtPxf3/wwYcGuy/e/eG9e/eGV1555T8MgJ84eZLzFxYuO3v29PsffvghqaTA0wqEQSDywqnMb1aJRSWWOHGBp6ecD+slDuiBsdTSn4fGEiaCsZGME0loPCIDC/02tz1usCT87f1uZAPWpPcsi5daZHlFokQqRRxppNF4WtIKYPcGS9MzNAJDI4BGIGjWJa26k0NTLclMG+amYjbMjNm6oUfCCr/5NzXuemIje+ZgppGyd0PSqsc06iHNxpB6vUGgJEqmGhwnB6LIYzQUDMcJvbGin3YudXqKlabPqfNTvPiqMT/+jvP8+l9rTqwGCGGwNsIk1tlukWQ0dmWsraGmWfNp1Gs0gga1IKJVD3nupSG+F3HjpTHvetUAreI0CWQQwlZFeSrpjHGVnIGnAJ/RWLO0ol3dTpLFPOk9lkUMlBauZeCO06A/A3IUy9ShyV67MgL3e5YHH3pQKqXeH4ajr41Hoye/Fdj8vw3wv/3bTyGErB88ePBthw4fEtYKlBRpGbd0Pe7C5kVUTp4UmcNYuYhdJ673Mc4i+iSN6rPI3ojitRGERhJbSWI0kQlIUturfMuzlAK0EM7BUVCrW2raUlMJgQeBhppvqQeCui9p1CWNmnYAbwqmW4bZdszc9JiNs322blziA581fOSWTeyYVsy3DO2motVQNBvQqCe06hFnlwyHzwbUfBdgQ1bpJxiFmt2bDZvnR3RHPsORTVlcstrTtOo1Wo1p3vWqCxw5e44//PQ2tNRYDIlJiI11tluoGIauKGpQkzRGmnrgUQ8SOj0XY/he4hJmXoKWrlFCSpfOz86NK10RgEhBLuiYtMrSuLgmSSTGSGJTxDtxIkoBfva89JiCObtHGaDzRJM719Y6737f3idEHI3etnPXrsOf/9zfDt/4bd/x7AL8yt34Syvnf6rXufBTSTyWnpYpgaaVgRJEWl8ipSVJg0ytnOeqUzAnSZphMynIE1fymb1XPC8q5ZyXK/JAqay5gTST5wIrLQ1akta0gKcEnrbON9aCWiCp+ZJ6oKjXFK26pNWwTDUTplsxs+0x8zMDdm5a4v4DYz52+1ZmagGbWoZ2Qzhw1yXNmqFZi2k1xty/Hx7b1+CSDTbVvUXafDhW3Hi55dKdQx54cprBOGvP0ynIPRq1OvXaNN/90mUeO3CB+/ZuBqswJnHlsLEljmxeTzIcaxojS72mqPmGwPcI/IRAG7RO8LTLDrsyiKw0woKwCAo9VwTnroTYZI6UyezXkhWbAds40Bavs2xpcU8SCmAn1fNujMUi6PWH8vjJM/9ldej5yqv/MhA+awAfDgdyPB7+/KNPfvTfra6c8xs17XxVCzL1n6WRLrjLAK4sJk0oKGVJjNPh7sBZTEL+PMkybjbLvFlMmonLkhXWWkqZ98qKm6Wqy2W3WgkH8Lxoy2X/Al9RCxT1QNCoC1p1S7uRMNWMmW6NmZsasnXDCvftH/Lzf7yJE6emuXjeMN2Adl3RrCuaNWjWEuq1CN8b0Rm5YjFPWaQsPlliHMNFsU+7HjGIDYO0znowSugNJJ26otELqAUtLtoc8Ys/2OG//onk3r2bsCiMNSSJIU5iwtgQRopRqBgGkvpYUfMlgW8JfEWgDZ7n/H6trAO4SovaUpkihK026KapfZuSiE1rWZIU8IkpHh1IZfooCoBnz5OiNCCpEFp6jpP0vKbNGseOn/Yv1s2f+KEf/Ofeu4bDn63X63/vdP7fG+CDQRdjol9+5KG7/7djx0/XtHatZcaSJxASAzIRKCNIUoAbk7J4Cu4ksRhlc5Y2xub/rck9WrDGui7y9N8v35kAeLlpQkonUVxNubPLdNqK5mlJ4LsBQLXAjWSoB5ZmzdBqJLQbEVOtkNn2kK0bVrlv34D/+uF59p+YZdesc1hadUmzIR171y2NWkKjFhElIX9+awupFJ60KFHYhMZmS7jH9712hS89FNILAwYpwPtDRa+v6ASamh8QeG0u3xHzSz+0xM99WHDPk5swVpIYl1aPYldoNg4N45ordw0CQc0TBL7LbPra5hlbrQxSOamYlSXnAC9SnsX5xOUSnNuSBvIZgNOpAyZPrpGyO/mKm6SAjvM6GJs/GlO6pzJTSsXZMydqt91+5//+qle+QnQ63Z+emvr7JYH+3gA/e/oo1toXHD30aN2TIUJJx6b5QQBlIJGpx5o4bZ7k6eEM3AWwywydf+EU8M72s/kFRHbgJz5XYUmmdSal4DarI3cAl3iedPUbvqAWuJknjSChWXfgbjdDpttDNkx3uH/fgJ//0CxPHZ9n+4xgrlmSJjVNs+bqV+q1mHoQ4nljTi/N4CmBkia15YogM0kkcazYMmOJ44huVEs7ZQzDUUJvJKkPFDXfw/dqeHqKK7bH/NK/XOA//xHc9/RGEiMdwBNLFCcpkxvGgaEWSka+yiWY54GnnURzdSrOvZKZN54+roNxJ1dIk0KIPDlk0uRQli1OklLSqFTvYjJwJ7ZYibPzb23pHGdN5pZROOTuex6s79ix8wVSym+Ix28pwJ9+7PPUvGHjvru/4tt4lUaNfImxZY1c+qJKFVVsRgr3BXXpKs7BXJYhxc+yL54z9zN8NimKIiopQUqRg1tJmTZKZPIEah4EvqFes9QDp58b9Yh2I2S6OWR+psNDB0f83AdneOL4BrZOKzY0DVN1QasmadQUjbqgXnMXh0v1h9y3V9Af+dQU6UXmNHjWhJAYQRRrmjXFzVf3uP+pNoPIyZThOGEwVPQCReArfM9P9fM0V+4w/MqPXOAn/wDu2buRyEgiY9Jm6aIHc+xLAt849vaKOnqtsjupTClknEyzvOuBPEsK2QzgKeCT3HmhuvJm0jKZILBS4Vt2T0rnPq+TMXD2wgp/8Vd/57/pjW9ofPTjnxt87zu+7X89wM+eOUF7Zsf0/kc/8ftKDF4aeDFaydIXS6VE+YuWa7AVVfArsT5rlwBdvrJtQStV3S1cQZGQKbjTIiOVAxxUWjHoafA9XCeQnxZYBQn1VF606mOmWkNmWl0ePTTm5z44w2PHNrJ5WrOhYZiqQ7MmaNYVjbqikbN3Qi2IaTVG3PGYz2qnxsxMkSbPAGNSbRolio1zilc9p88dDxrXRROaEsglNU9S8zSe9tG6jpSGK3dY3vsjF/jJP7Dcs38jkdFEaQWgK3t1TB5EMq8u9LVE67QISwqUzo4N+efLLsJMqogsgUGREJq8m9KjMaXHEiuXwV1IULvmd4p/I223ixLU6vClh48c/aN3/8u3/9iLjh5bvWj3Rf9rAT4enCYeX/jJ5cVj3zMeLVLzPWJj8pOWaeY14LYugHRXdnHFZ/IjyWUIOXtXAslJ5k6RnmXkcu0tswq6QndntS9a4eoztMXzXGNxzTfU/IR6LaZRi2jWxrQaI2anOjx8YMxP/cE8jx7ZxMZpj42NhKmGTcGdsndNUg8c+9eCmEYQEpsxvTBAKImXMXiuwbNjlPrFkUfTH7lygbDGTAbyUcLAdwwe+NLVxOtsA1rLNRdZ3vdj5/lPv2e4Z98mIqMZJ65i07G4oBYZAs/ie653Vadxh1auRFhJmR6ftCs/eywVZuUXZjnWmQB3TkIlYqoAtwTk3DGpMDclksuY3xkPZ84usu/Ase+58+5HDo/D6D//L2Xwfuc4jfaOXfse+t1rlTlOsw6JSVBGYBJJokTOziZzRYzT3SYRGEXxfkm7mXzZLh8wUWKKIitpy2tmxtrloDJbblOfXaXBlNZpZ1BahJRVD9a8JNXNEfXamJn2gKlmj/v2xvz0B+Z55MgmNkxpNtQTpmqWVgrues3ZiRm460FCzY9pN0P2HrPc/nATX0o8ZdIgrvAoMhKIEkVsNC9/bsQlF/c5fKLOhgZFn+M4YTBKWVgrtPbygjUhLFfvgl959yL/+Q8MX3tqA6Oo7pJhsaWR1nAHHg7kOlu9TN7bKlWSr3BKihLARQnkrNErBchtFeB5hWKx8mZsnr0uzINChlZXf0oBKsRW8cT+M8gvPnjt+/7ru3ftP3Tq+OWXbP/WA7y7chappy86d+Lu34jGy29Roks98NN5IoJY2tw6MuVS1cxWUjYFs81BXV7SCjuqFLmXXZI1bknK3JPgFhapqFQvapWytrb42uB5hsAzBH5MzY+pBSGN2pjZqQErvQF3Pgm/8hebefzQPPMpuKfrllZd0KyJ3Ct3zotx7O07gNeDMWGSMBrWqCl3kUlRWvrJNKtIA03ttLweMw4tw0iUAG7w/QTf03iedFMF0ja+LAt53W7Br/zYCr/20Zh79s1xptNm1JRMJ5ZWbKmlEwcCz6bef+ak2Jy9M6mSATz/vOmHLuM8V4jpSbH5uSqV35YkpYvLSmAvS1CT1sBMOGbl/EecCAbdIWcvrLzlM1+6J3n1S57zvx8/cebYrp1bv7UAj4YHMXHjpmHnibcNO/vwvQAlE5R0WUaVZJmuLLKWqUQRJUCXQZ8t1zY9AKJ0YNYCPDvEZVWYnQQ37iFj76IbvxgO5MpiPW3SMRNJDu7AT8E922dhZch7/7zBp+/dwGJ/hg1Tkg21FNw1p7sbaWBZDySNwKYM7rR3LQiBkK8+6rMS+cwFVOqxEdUVKklc80M70LzyhgH37Q/pRQFTece6wR+7WnVfO4BrZVHSQ0iXoMHCFTskv/5vunzuviG//KFNnFqcYTitmfYFrdjQiCGI3OhlX7mBRl4WaEqRB8HZYzlQL1+Yoigrys8PTEjIMrBL8VNBZCWg23WYu2QxxynArVDc98ghtm3d/LZao/Xnvd7w2LeUweO4h1LNS7sXbv23dngfjbohMTFxrFyywEgSaUlUqsWNzOWJMSIHdPmxAHXqsWILG2qStcuyJD3QGbNk6ebMBVAZwJV15bg66+10/Z2+l+B7MTU/IvAjWvUhWg+447GEP/p8m8/etZHQtNnYFszXnCxxFmDmk6v0LlLmLrN3hNZj7n56mkGo2dLIPs8kg5MfpyhW1DzFC64cEhsH8GEkXNd61rk+Ni441OlsmNTeE2ly3SKYnxZ8zyv6tIIzfOjzQ+58eo5zUZ1BTdKOLU1tHch1Gocom8YlafGbzI6hKGrHJUgKFp/cUTCXKtmICia1ebl7qMiP5IxeAnkV3KIAeFqbHhnNp257mquvufzf/sDbXvjISnd4cKZd/78P8FvuO4Fd/QQDM7c1GTz5MsV56kGTKAYlDEq5uoRYuRStA7XNJ0WtB/LsBFe0NhnQy8AuWQ9l+0rYCWmSZeVcxaAb7ZY2LqfM7SlXixF4Eb4fUfNCGo0Rvj/gL27R/OqfbuTwwixeUGNzSzAbJLQDSzOAZtphXw9ctrOWJoRc/UqSrgROnix2E/qhj68UvrR5gEnpq2QXdla7EcYedW/E5ukhq4MWw0ik49ZcrOB5SWrzqdTudMQiKoGrq3x8y0v63HjVAr/yZyM+8sUNLMdNBoFH05O0tavBCTT4irwZQmdJn3wOjcizwFkCqEwqVbFSBjrrrsAFuKuAL8vUpGQ2FCUbgsi4pouR1Zw82+Xzd+19WW8cbT1+pnfQ2n0IccX/PYAbY7j14Nsu8uL7PrBN3cemdkx/FCKE55jTWBIpnUSRaWGOtSRJVstQyBSXDROlALIIMC1FUIkV6/rcAluwicwGcZYALi1KusmzBXMnKchjfO0kSeCPCbwhx87H/OHnmnzqa3McOT9Du+ExW4OZIKEV2DT1noFbpuCWeVKolmrvwHcXTrs55pN3aw4er1NLJ3Dl7WIUKM/HOFinw6NYc8UueNONPf7oC3P0G5p2OnskCNO4QRm0lunYOkog90qU6laFnfOSn/7nA67dfYo/+OwsR85NsRzXGXiaphI0UqD70roLJ3WZ8tUvO66ZfYjT50Wm0671yTNiykon7NpYKj/XGahteVV3rzPXLWu8iA2MEkEvEYSJ4Km99/Mf/8W2D7zne57zBmM631CqfF2AW5sAktvufXT76bP79szOL+HP+YRxOkNQGpLYATxRmQY3JFY6f7vE3pkTkrG6Lb1nM7Yu2YBZwRYZY2cgFwWwizFvGcBN6ppk7J3g6dh17uiYIBjj6zG9JOT9H/f50Oc2c3ppGqPqzE4pZn3LlG9opMzdyNP3Mq1TSaVJ6p3n4PZd9nIchRw8FdAPA2aC1MXJkk6ZK5FlYW2pJiXStJua3dtDVDCiF7YY+oJ6ZBlnANdJmqhRzseWWQnwesGrYsPUgB99y4C3vfwcH/pclz/8xByLwyZDXaOmFQ0tqCtLEFvH5jLtm5VFeUOW5VzD5KwjVyYdFiaYPNPdJSJLygyeAj2x5JWjoYGxcS1zozSztLq6xN4n9+3Z0JjZvuviFxwbDBIajWfeaurrAjweHUd5rQ03XT7++Flxhzfb9oiNRes4/bIpwBKFNG68WiFHXKllztgVoJcr1gr2zoLIdS61kh1YlN5W5Ek2LEglDuA6QasE34uo+SG+F9IZhdz9uOQvbmnzia/NMUpa+L7PnC+Y9g1N39IILA2/AHctkASBJEiliUsMpc5ECnDfc5nPo2ctdz7UIIw8gqZdE2Dmq2Kuwd1xCiOF52ledWOPj325z/5TTYY1N+9l7Fn8GLzI4IUGpaTzraVAClkM9wEqHruRNALNpukh/+m7B1y5c8xHbmnx4N4pFoZNRsrH8zQ1LahLCLIBS5m9Kq3LJwhKIK/WrEwWZ5UZPV+RSwzuZrNM1Ctl1aApsB3AIbJp25wVhAasSUAZji/P8JO/fcj7wC+97ON+c+k5S6v9hb83gy+sbJenzz560+Ejn5za0TrHtk2WKFSgQGKRxhALg5LG9UEamYPbGJkzSgZsk4M6vWfAroA8ZYgSgeN6dByT5yllk5d7Ot1t0SpxAFdJLke0juj0I+56UvDHX2hzy8NTLHdayHqNVl0x7VnavqHhWRq+pe6TsrZj7nogqfmKmi+o+aQVeiYFtyHwnP5WesyBU3C6U3OJlVTfVhMnRf2M64MU6XIsCUPNprbg0h1DnjgRM4g8xumMbz/EgU9lk3WzRA3Iic6cwq1K5U/i6sPf+aohr3v+Cl95pMeffLHNg3vbLPUadKRP39f4SuBLQSBxPZzS7VKnRHGRqrSvdr2Ac239SvnCoyJJM5Bn5c5JLk8EkYXIwNi654lJ8/02BhthQstMa4m9e/966oqdb73p6stu+AJfZ3jQ1wX4ucUTwdll/Xv/+n8Mm2+52ed/XLpK4Gvi2CMRBmEMUhiMTUiMmgC4qPRGGisgBTxQBTjF0lbhhYo0sZUCfSdLTKq5TWpZJviZmyEjFnoxdzyk+fxdLT595xQXuk1ErYbX8mhrmPJcJ0/dI5UdUPdFepdpyWmqu31BkLF3BnAd4/sxNT/E2oivPhxw/Gyd+VmBJ02qY0XR6FtiO1vKFySJYjj22LVJ8KobBnzq3pB+5DGMBDXP4seOxceRLa1SKverEbIiU9xdFo0Kxvnt9WDMO18x5DU3LvG3X+vxubsa3PF4iwudBkPhM/Q12lNoIfCkwJMST9hUalkUoiQNq/bhOmReccFM9pjGVzmoSwCPUoC711lyJHZ3G0ES01Jj/vWbL/Ddr7RN1ba/t7J47Epg+D8N8IVVSxwP/9nhY3dM6/A0d98VcOy7BNfuCWFokFIjE4WRDtjKZgCXucY2VqaBZdbhLvOlNKtQcwHlpDAR1YCyBGwhTGoHGkQKcK0TfB1Rq0WMxgn7T8OxM4q/vHWKLzzY5sJKE7wauu3RUJKWZ2lpQ92z1D2oeQ7cNc/NJHRlprJ0F+nPbQpyk4Pc91x72uEzhieOBuB56TJvSyl6UUFBOQhLkqxm2o1zvmb3mKu299l3usGwJmjEgiCyjBWptWdS9s7clMyCLLRK7rOnVqQxKp0+4DEKPer1MT/w+jFvvnmVLz3U56++3ODYmRr7TjcIVwPiQDPSGqmc7FSATh8zJs+lC0Xwv+ZmC9fIZqxNIUsSIK64KsYNZ7IGbOLuOXvHME64+NIRL3vZiKXuOQ4de4iErz9i4hkBvryyIuJk/OMrS/dN/8Q/O8fKkkctAKENQSvERAlxqFLmVilbZwCXOYsUrknW5V4Fd/lKz+GdReq55nNJjXw4p3CMHQRukmqcJJxbgltv0xw+Vef2++ucXqlz+EwTggDV0NS0oqktTW2ci+C5wfk1z41rcyDO7jK9qxTgpJo7BbeXEHiOvd2FFXJ0AfYea+DJqj2YSxSKevDcUcicFJP2NcYeV+0acunGAU8eiRnEHq1IMNbgx24moCoBXEqBkLLC5DBhwWUyKJF5H2WUeIw9n3Y95PteO+Yl13Y5vdLlqw/4HDkZ8KWHG5xZqpEMPYzURL5CuNasfNcNSZrxhFy2MLEAl0uaMz2eMXneqJIBGlMA2xigBPAocboFtxXLX95SY2lBsmPTvfP/5t3//t/a+PD7hN6zbvj2jACPFj+FtRHP2XGEHS8Y8X99TPHTvzXFa18y4ordMdtmEi7ZFeIhSUKZAzxJlAM1EpsBPQU1KYvDZHtZFlzawueuMHdJiqgEL0iIEsuRk4Injihuvb/Bk0d9nj5apzsOGIcBeD6q7REoQUNBQxvqJR840FmdRlY26+rCg1SW+L7C92V6AdhCe3uJyyx6TufX/AhrQs4vS8Y2QGuJLy26ZLNNEHjJRaj2O4axh0CzYTZEqhH9yGOghXM6oqJgTCtTyUBKUYpis2FHCKyRBZOXBiN5icrHTwzGPptnQnZuinjuxWOG4ZB/cbTDk8d8br2vxhNHaxw5USOKFQQKKxUISSJL2aByMn8C4FVxnvvA6WPWIF5qGM8yQdZAZNAY9lwUsnU24oqLI1734pAnD2o+9tk2u3YmTRE8+j2e1u/7n2Lw//ODn+ee/UvqlZffK2bnBvzexxv83sfaLPYktz1aY8q37Nwecc3lEa99/phXXh+CdYmUejNMJ0lJMII4cuAvAsmi8L9yNKwDNOn8Ek9b15UvLVFoGYwcox87JfnoLQGDSPHo0zUOnQxY7PuMEx+0D8pDtRW+FNQVNJSlpnDjzFRaeKQca/uecEmPMrg9iZ/KksCHwCd1TVzK3NMG34vTjGhEvRZyYSXh1ntadHoBM1MCLU1eMpDhYPKWW2e5FpeMx4r5OcXrbh7xpQeHnOg0GXrSyRQNXmzxosyzTj12mTi7kPKsE5n/DWN1pT4oSSR+oki0Ivbc2Ico8pyV6kU0/YiXXBPzgivHvPVlIw6clDy212MYKj5ya4Oj5zwQksFQk4QqK9/E6mzpnbCMyunb3Ac2+aOILcKkmxBYS70R43luN71X3jDmtTeOuPqKiF3bY6Y8y/y04ZXPk8SR5Hc/3eKL9+wVv/pvLlX9838VNze985tn8MXe3Pv/2S/J61ZW5zhzXtEZSQhgoSdYsJajSwH3PGH5+JdjNswkWGu44bKId7565FqSEtgwZbj+mpBmLV2FrMhzYGvPuciH83QGgsce1yx1JfWa5P69Hp/5Wo1RpBhFirPnfIzQRNbDCA+0RgQaLSW+EtSkpZYCO1CWQFlXA65Tz1cXzO1nfZk5uFXaoyly9vY9g+9nBVpJzt6+H6FUyG2PKD51bwvla2e3VfT3MzN45oUnSeZ4KEYjjze/cMin7+7yka9O0Y9rNFMd7mU6PMqSMjbvFhJC5gBzf0qWtH4J4CYd7aAdk3taEWuNjhMHdJWglBukP1OLeeHlMTdfHmHFmLe/YsAocpnFv/tawAN7feqBYLGreOxJn+5ApipJ8IyiPN95wrUGXv+ciPnpxDW+JJZ3vnrI9ZdGWAsbZgyz0wadNWwbMGPFnG/5j9/b4x2vGFGrRdft3H39+0H86DfF4L3OmGbbb//2H3368tOLTXXi7ByIGPzUiUk9dWMtY2s53/E4v+rO1oETls/c5pYXm1imZgw3XRfSqrua4DViewLgpK7Dal/x4BM+3Y5CaulmoljtmElo1x4kNUiNlDId/ea83EAafOmA4CvwVTGjz4FcFA0P2jUCZI3HZXA7hk/Lar2MwZPSPSbQEdaGnF70Ccc1gimJn6a9VVqVV8liZh09QDmjm3enG0UYecy0FDvmQ3wxYhgHDGNBXbshmFkNSZbQUrJc3irzv+X+RmbVmiJ7akzaM1lIozhO0ryBSueyx0RxgopcLkGrBCljts+bdMUwXLlzRGiHSG3odAQPPqFZHbgZlBMe71oLwbqurWbN8oLrIqZmDDZ2n7khBVq41d5YhYk1USl+y/5FX0ku2SpZ7XvqwiKX77zy7e1+b9xttoKvD/BAncCO9fsu3vD4Kxq1BdBeiupKUrZ4LGmqGEsn01bK0l21nL2tWf399YANleXNCoHJBqeQ1pwKVQQ5UqZWVgbqNO0sSTduzXzj0qNOO+kV6dZ75OB2bV0KPwW3r8lLTB2DpyyuDX6aHfW8iCCIOLlo+LMvNUH7eFIUAWYuT8QaBi9n+rIhoQ5sbrBOGHm863VD/vaOIU+fb9FPPBqx25TWVQEWs2WEynICpWAvO5Z5alyWCryyu8lrYbRWeImbl+KlQFeySJq5uvH0eboDh5QJWliETZhvGL7txQZEkspMQGT7Z6xzzvMaIwFGYSJNVjqWxILYlmM3h5HJkSAZdo6fXebLTx56xZvN6fclSbxmd6s1AH/4iY8ipfRPnnuM0VgAM44txTMsOfl2CZm+KgURypJ45Ysh+3lZo2XslgG8Grxk2whKIdw+OsKllQPhqgWzUczZWGadMlxeSKQpzUEh3Zmt6KovAC5z2RL4Nm9p831TGpwT46Xs7esIKUOOnxMsdGsIrQkkFXkiy1+rdLrL0qECvNTpCGOPufaYXZuH7Ds3ZphoRgkE6Xg7L051eEzuLBUpdFXpVMgOuXO4yr2ymTQy6MSQKInS2fblKi1WS5DKpCuFKazZFOQi+9u4KVkirVN3u1GnUZbIvnG1pIDSu1UQT2S1s4bnypxJQDjLdKo1oNt7jM986S98t5nYNwD4e35thJBw4Mg8Kz0Lnpfqu7UBcvHEFl62nfiNrytLSLtySoX1QiApUsRuKhV4wuKJFLSpBMie5++lZF+UgpI32PpKOLBXwC3do58BPQs+U3Bn3T/a5BLF006f+n5ETMTn7q5zfqGON6XwyzUcZQelekkXzFrSx+Wkz2jsJti+8UV97n58RDeuMdCaemwI03S6kkVBVFZwJoSh6Bwq3KpKBZ9JZ6pY0g4sgTaCWAl0ItNd7FwtT5wCvUimmTzBJqUpJd7S57IM7tTmzfeKKRdoVc2FMvxz8K97ERQAF8LJ3h0b4T+8Y5V+tA+w/NzXA/j7PnwrU63aiz/wV3fdOE76+LUiY5VVlZXhW2Qh00xliaG+0S0/DVmyQDghJNJEgobcalNpytjNNyk0rsqALd1+8tkohDKw8zkoCtePuB7As4Az0906kyU21dvVWnLfi/C9kHMdw8OH6qB9dCpPdKlAqXzsqudUlHzgcl+qzD3xKPK44ZIxc9NDOisNBrGiocCL3XfJ5juqqAxwHMjzPyQnKjVF2jeZ1gwpQ2IEnhGuWE4ZEiWIU5CXi9eycgiZgbwE6qxkQmBSkKeAzkFtSwJgAh0lZraprKo8F1QYvfzvCWEJI40QknazfWNzw+te3L/wbXc1N759fYDHYUS/Z7/NE8n1KglpBR7C2vXVSelmSp85M/OfEdi2VJFGBgKbA70Ah80ZfLKEU2e1EWkNeFbq6ZqLs04VJ0tU3r1SADtrvnXsnWpuTa63M0vQMXYBbi+vTowQRHz2awF3P9lCBhpfCjd/O68gLNroioq/yWxmWpiWs7gLNBOjGI48br56yJte0uMPP9siTAL6iaSWWMYx6cpVrvozqZwzExfUMzE5GF00pmTgTpREKeMYXcp0tIQplSKXa4BsAfJKtjlj8vQ8i0Kmfj0sTersSkVp9SdVprQRwrPXx/Hw26yJ7yr/Zg7w/YdPMTvdfN0HP/qVf95buMB8XSClKf2hZ/hQE3/PivV/X5QfS8wm8qWsAEPB6inIS6MNMuZ2W5Bkr0kZnLwNq8LiaTeMp6rgduMUJpg77dn00/Y2T2cNB3HpHhES8VdfbZPYAJVnL8sBZtHXmDkbFQ3ORLuekW46VJIFmxqBxztfOeDPPzdm1UQMkxrDRODF5CwupUXGIi86c3JykmJkyZoUJZALEp2OdVApyLVFGSdXEmVRiatgdNljmZcmFxZlubqzKGPOm1JyUGea/BmAWqqVr/5GweprsJ5rd0240kHUxv98bsebbh/2Tn6p3tpRBbhJIsIwvMSE/T1m1KUdBCRpfnUSxNnLZ8J9OZas5isnQF6SJznQJ8ozcy0+oTkz0JdneyglCi2eVtxVht2kwNZKFE5Kbge6jnvXmGxT5i4CTF1i78ALefiQ5OCZGlZ5KCnxpUFP1mmUBPiki5Ld84L/UgdU5qhEsceerRFXXdzn3gN1IuUzjAU1CV5i0dlmAiLtwolTHY50cmECKOWa/EIaldvE3MQDrUwK7rSdTdkSuLNaIJuWCWRMTr56iBK4EdnErHXYu6LLqciVCp7smiujhEt33IajCNGI9rTD6JI4Sr6U/VoO8BNnVmg2Rqx0hykgbC49ynq7dC2uA+uJYEBUL71y/rJcOF8BegncKq/5Lmy3QrII1z0vCnC7IFPk3eI6B7esALw8/Md125MDO89W5syd4GuX2HFdQRGWiL/+aoOlpToi0M53L1+EkzUo5Su8ZBFm0wTKddy5N20UUaSZn5W841U9Hj7UZpzUGCifeuK0eFbOqiQpuLO1wqSeeFkwlrPJ6d9MhzRVZ9i4z6FMtiLZ/LnMt1XPNuzN9jvKpIksmiMmGXyiMrRKeWuZfPL9CpNTDUKz74LpY6JzmKgoLswB/p9/6zMIqRh3V9KtsydAvYbBq29YW7xbBvB6l0TFXSg/lgFdZvHKeLGCsWWZwZUosXgmVyRKVwHu63QAkJdtHZhmOLXFy1PxJn2eVO5auc6dp4/Dx29pMZY+Sqo0e1m9ECczmOuurhnQKzo81eKJIk40QaJ5x2tH/PEXBjx+pE6kPAZS4icmdY8EMrGl42Rde5kor7GZ1KzuW1Rm8sSAzi1EN/FXpSUBKrHFsM58LovIL+h4Qo9nLke1QaI0+1Csv/ZnxWjr3b6ePrcWtFYQPkLv9D4H9jLAT5w8zY7tWxs/9pO/u/vRJ85jUx+5fCbyw7WOVCm3mpU/bOXEiirAWUd7P7NEETlwJschyxJjZ0FmNrVJ62yT11R7qwlwZ+l7L2tMNm5mSN4ilvV0xuk9QnkhB09reqEPSqfyxE6Ux05euFWEVwcaTXjhaTdOkfjRND3B5dtGPH4wJDEBQ+NTS1zNtk41uBJuI1eXWMrY0lB4XyY/EUWVp0t/63ywqXsvG5qqDWkHkeu9zRqSs+laSdbdnxsARXCZB54T53sS4CL/v/ULONbEeGVgl34mBfQHElXftfuS6/9dY3nppwezc1scwM+ePUev23nt86+c/8nD+54gUa4upGoFVoH8TMAuf/Diw1eDywzkApfPKQOhAHbRx6hKrKgqQzUzkFPUSKsSqPPnaZJHkXrhDtwOwMVQIK8sT8rsrdK+Tj9kuWf4v/6mxdKwhgg8J0+krawqxeCc9T2ACtBxZbM2mxOTM7hzVOJY025o3vOdPb7ycJulsU8oNUMp8dMeymLkQ8rg5Xp6YcjKaC0mBbfBIiecFZEyuM2D9AzsSoqUwZ0kSnIXhVymFDq8aCcsZEoWeE7YfJP4WO8YrUuyZXniXltrWe2Dqe/6yePHDt4VR8O/hZTBn3xqH7Waz+lTJwlUgtUeiVk7hGfy5HzD2xrWXsdFqWhwUYBcTkqU6mCaHNhSIFUxfkyVQK2lRKeSROcAzzS3yYNKT5sc3J7O6i+q7O2pCN8P+cuvejx1uA7SQ0pJkJXGlqzNfI/49Es+YzUhBZvnO1WUZEpsZLrJk8c1ewa85SVd/vgLNYwOGEqfQIo86aOkIKoEdFUmF2UmL2UHyzUxRoGyblUwVjhwZ1PCDCT5/BRRALz06MAt0oxmIU9yZ6WMg/LrzF76emRQAbooJcuKueW9fkJy6gyDkU+SuI0hNOCKWqwmNq4CLdsC2h0Em9YF2CqwKyb8+qDGVpfnbEMqhF0zUKbiGeeBpSjYPGfIbwRwWQA8T/RkALduTnYqRTxVuCVeaThQobkde3vaTa1a6Rj+7rYWi50Aaql7IkrB2DNIFMoNAeUTtZ5tV+ppNUnmpmhm2opvf8WAT989YqkfECrNMJGpPSlS90YUzdiyspBDyt7ZWyZn86wJWKAzZ0Wlz9PZ7kZCosiPexnkQopS9302xDOVJhU9LibkiqgAPgf9pNYuvVdVE9XZlcYKhEho1GGq5QabAuiHHjvAxg0zF9361Qd+fO/Bs0ip8hOVX+XZP5j+kbKfWzmGE8vN5BJULEtrh2ZW2LtysNLESQXY1dnf5Q4XN9ydKriznQ0y5lYl5l7D4Nm4iWLkhFYuc3n0mODA8RqGACF13pxbVA+W4wdRcjWKM1muRSmYXJTkicidjLzdLNFgNVfsCtmzZcTSvjo28R2LJ06m6JKLU7BnudArFdxZGS2413nnVbqSyGJuZDm2UcZdNEaSau/svBRklIPbiHSWSqbJxYRUWdu4LHI2nLxl7ol4huNW6HKtFMSnmJ255Me37nrpo52l/ce0EoY4Cjf72r6u112m2QjyKz9fQrPjs165yfpuYRXoZUuwxGrlVHYG8qo8ESVnQpSCzQLQjsFJRwGXffDyPd3SWpXBXQJ5ul+9l5aGZuyt0tdaRygV8bl7WxxcrINfyBOvZF1WLljWjouYvFXHnBVtfdnIjbIWD0PNxfMhb7x5wANPN8B4xInT4l6SZneTqlQqmDM7KZltKIuVeWLagZHpc5muKjK7u2OfpCuGFCmrm2yFtTkxFQkfUXJTqkyeM3aOD1HBzDoLXiVlX+6fyBwWITQLi122DcXrBsNoczi2x7ROveSaD1MNifayOonyElD8IftNie8ysKtXq1gH1NnryQAtA7RYB9g5mytRasItgTudT1hs28FaYOtiQFA+4k2bFOSxkycqot4IuXe/4m9vazIc+dDQaCnwRFWaTH7+sgRbF+A5yEsyxU4kfFKQR7FmqqV568tHfOHuAffv97FNj2ES4AvyC03lf7/QwQW4C5CXC55c8JleYMqxeSKdHjcl1s6CepNtfWJESX+LUqBbmAfZc3fui7jA4aAsU545u1I8F5U8gpNaovQcxmPNYKSIYsE4kugkiYiTCIEh8CVSlcaplcbjTl4txRU1Cejq6/VZXFTZruSYlJ/nUkQUoJaqtHuDEmltSgHuAuRZ2axF62KEsk43YdKqCnQvZ2t3V8oFmL4fEoUJX7inwdMnGq66UqoUVOnckFJwKWSVxcU6x6ISIJEe4/IsR5tt2ydzTzxJNGGouXJnzOtf1OexY3XGsU8iPYZG4SdMfBZRMCRrQW4nPgsqu9gMRglUpnGlwCqQttDj+YoqQZrSLENTsHQ+9k2AMOvEJWseRa4c1uZ6qq5JRaZkATIuhhmHkigyxFFEFMXoT37q8yil6Pa6+L52kicdoFlh8RzkpfT9N8HcRRnsMzP3GoDLyQCz2IGgkCYlqzBn7AzgxeTUXKKkzO0Y2+ZMrfPH4rmXBpdaRQR+yJPHBV+6u8Fg6EPTQ4qscpCSPbhOFrP0PWHiROVpTUF1kPxEwqdUgBVGHq1WyOtfOObTd4x47EgA2mdkJH6qxZUBlWR2XfoZEiAFHkkZ7AWwrSVN7qXSRTo2z1aVLMg31oFdmiLRJkzZTUnJyxTMPpnjWM9RKzKd1eCzcE/WkyaUJJYDOEJzaP8jnDl1EGMS9IULCyAEJonRynGOFaRaLDvoJQflGQZjrsfkxRcQa5bsdVlclsBe1tw5yJ3eLmczlUorDNOKQtfOlT7X5fngE+BO7142hTYt8Ncqdncd4XkRsU347F117nyyDjUN0jU0e6US3kppbPlefrHOrTJTO10di+Zy56hkE8MyoI9HHi+7ZsAbXzzgqeM14tjDCsVQaLyE/DOJpGDx4iOsz+TF37colTKidGzuXgukEbkOz/3+jNGz1TZl8IK9J87xRMC5RsKJZzxUxfGakCnFgP1iFPdw2COJRxhr0e2WjxSCKBYMh0k+gb/YTsQiS0MyvyF7T3zQas2JeyHLAC+1dZV3FqgAuyJVymn60j3dsaAAeumui01QM0B7JVBnzolzTNyjUhG+F/HoMcnHv9oCfJAeQqi8i0ilG6nKCXbKvk8ROIkJgJVYiDJzlzS4Fem2L+noh3yfeI21mne+csit94x48LCbJBAZxSARacFXCroks+NKdSAFXByZWetYvAx08tZbl+GU6X4+OaBKmWWb/i1bArUpDeyUpYu/kgArJX7KJPgNAA5V9i6at90QpSiGBInnKay16J2bFUoK+kPL2QXFODQk6T9o0uWqIuwz/fZ1/O9qh071S0yCoPo8ZWkh3IHJtF3GHLmjUgJ52ppWbDZlU7BnA/ALcFdYu/SYNdZmUkWpGM+LiZKY2++v88ShOngeSBdc+sKWJseWA6vqJk5V8q5Cy5ae5A0QExN482AzkZh0em+SaMahx9V7RrzsJsfiw8Sx+Fj4jAzoRBSBX5LZham2TUoXGXYNaHKmlGCVIzdlcdlPKxDWrfDSikKqlJyvivaugL0c+FYxMqnJ1ws489aJik1YsLcDOAxGlqWewZIgsGgvCN2WcnGS/tfZHvPplynLE6pB5hr2Ln3AYvez9Ius0d1VkDtQl/eImag/EeR77+S7F2fNt5WGh2LrEqUmwF0aip+7JypB6RLAU4ni64iDZwV/8oUW48iDhpfKE/LWNFXeJbjsnFTW34kzVTqHZaCXZUp5c4BiUm9Zi2uageT7Xz/gs3c22X/aXXyJUQwS5aoMkzT5g3D6NknHckysJDYDeukcy9xgcJLQWhdMWunOkZXCAdyIIlbKmNwUjlhVgpYnYa3nMpV8nRw7lcO1lsmtWCPzhABjxiQ2BAF68+63bnr6wIGfuf/R+9jQEHieIhvNlWWR1qTqbfVpaTVexxosm/xVsMsKyKtb2ZUr8yaLrGSp9kPl7F0CtsyCyyq4s9l+hd5On0tTaO80uAxtzCe/2uTRg3XX7iM0SrjMpU5rsMvNxWWZQumkft1b5eQUVmEx19FN7a1MwDISYzThyOOGS4d85yv7/NZf+AyNBqOJhGRoXIwgTarBk0IWMuGsZA5KFvBi3feyypGbsmBT79vaAvwZuKVNychWV7FMspSlm5lc3crytSQBJmXuJLArK07qoJD+/dk2XLl7xPXPff7PbN1+5bv1uTMnpse93huiQYipBRVPumgALZvttkwAVZaeYHKRvigDXKwH6nIWc5K1K3XgtqK9c6CXJIkqaW+V7/RQ2ohK2QlJklUKJjm4PR1x4IzkY19p4OavOPbOO/ezvy+ojBcumjeqgaYovyi7AFSX2nLiJWuCcIFnCmwrMYkiUakWTzTf/aoBn7q9wd5THsgQKySjxEOT1otkxzpJz2CSJX4y5i5Jpyz/gZuNlX02mV6E0oJMY7IMxNK6v2FN6o8bJ2/Meu4J7litcdQKIJUyvyUMpU/yAQ6sXf3IV3lBHEtWV8M3JOb0tK77CTMty7YNHkGgUwZKI+yS3skXsgmJkoF4zZVX1lkTlmBlySrrWFl9XmFxYUvBZel5ztg2Z3E1AW43kdWkj84OVMqgMr9bxSgZo1IGT1TMZ+5qsvdgob2lkM77zjto1jJUOYNZ0Zpfb7nN9DclNjdiIuHjOt9N4mYCZin8MNJcecmYN7+4z+GPBYSJAqFJhGYoBDpJ7TuyQDdzVETpU9giBM5iLCtQNjvXTprkbJ7dhS1S/AKMdMA3mUyp1OWIgr3tBLgnYrW1amCdVW+C0bNHI2AwEvQHmto0zIwNesOsRqG5MOthrHIjtNKlsmgLylTa2r9YcXlLoXrVBhT5z7OTLmUVCOs3N1RZO3udsXYG9oy5c6CrMpMXultlQaQsSRNZDM1XKsHzIo6cVfzuJ9uMpEc2Qavomk9XkHINdFmSVJavZ77lCYvcDXAHuzyJd3K3jHJ9SmI0ceIRJDH/6m19/ub2BofPaFBRKlU8hkKgMnmS6vE82JwAeebNW0BnF1z6nrSpRMGmrJ154qbC5jb9O0YKhC1Wj3WNhexQTbA53+QhrCYfC8swSSyDoWF2xWKkRW+ajfFIODdl6Y4E49B1dAhTvVrFM/y5arp1/Qi5mLhUVLmtx4BlYIsJ1s4SKVVwm0KiyCqD64q/nenssv4u3aVjcU+HdEPDH366zekLASidWoMylSe24nvnzycZaVKSfYMTVbW9bFE2W9qgyZTGU+fNEFKRxJptG8b8yFt6/Mqf+HQi161irWRslLMNk+xzWEgERUBXgLz4f/cTlV6F6fym4lEWjo+UtmBwWzp3qf6262jvtVbqBItPMPo3uuXgNhAbSxgZljsRCysxiYzRnj/G80M8zyDHJe2dyUVRCkagsoTkAJ/8UJMMnn0JuRYMk8ydAbtgbVsKNm0eWGaNr5n/nTO5Nimjm1yaODliSlIlY+w4f9QqQgcRn/hswAf+us3YeE6eCJXLk7ypeMISq+ju/LuXT494xpOT4aqwCsugz1L2FmNMnt3MU/jGbQVe0zE/+vY+B477fOgzTouDIhGSkXG9mzIhZ/CiACtjJlta9gu70oG6kCzWpmwuCsZ0pGOd41ZJ/KTEKMp/MwV7qU6lIEKxlsHX0eFlZiibH+VNZaPYEpqYyMboWx8RjHuC1QtuXHBWDlv8EVENKif+aLHMVJm8XClICcyICcbOQU2eBSuY3JaCzHSL7vKWgaoodlLKlKRKBuYSk8uiOjDX3fmjmzW4vAJ/85UGK+MM3A7gnnTaW4uqPKmsOpldts4xKp+Y8pKaM1D6g0pVnyltklvq9MnrxKVEGYUxmjjRTPkJb3v1gE/d1WCpp0BGYBQRTo9PVheujaTWZ3KXByqSQll9ikqDTVIWzwGd+uTGMsHY7nwiRK7DC2YvN2dUJW358RlZPL0whXB9uFs3al5wTcL2LWN0YAPCxGMwFJUdu/IMWK78i2OxnizJDlOFscuAhkohUsbk5bYnIUpuiahKE5kHluUGg2pQmQ2nKcCdVALMLMjM9rnRJfb2GjGfva3G/U/UMSXt7ZoaMnlSrTfJW7NYezFX9OUzknjKniWrsLwNdrkZwpaDTitRtvDF48RDm5gXXBPypucP+LPP+aBCEBIrBGOjUUK4LUiyQFMUoJ6UK5R8cJVhIrMPs9oZKdxGZNZd3MbaEnOXZErpnBuR/v002pSTsVkub23lmBWEW7wh1jmUEpBaopVG2gZx3EbfeKXhwgXoLwmiJP12eSBYBXL+J8rsXAL1GvtHrAV8wSTPIE0m2VtUgV24KOlrZdHpiDEpU8dE2lRXlyRJ5pjIkkSRzj0JvIjDJyR/8tkW53q+2+9aukHvSlDs2DCx+qz5nmVLdB32Xpd5MkCVmH1yq8V8p7pK173bP8c9uu1PNjUTfuBNfe56IuDweQkiAhQGyUjI0iZS7hxkoC5IrHTBlfk8z2am56HM5kLk7GnT+iVTOq/WFn9PCJEHoggXtGZgdwQ4uTdTCX82jSHSFcBW8OY8oqwsd6VreOIwTC0KtNJdDH16wwghVF6Cms9Tn2DlSeaeDA7WA3UhT2xFcxcypVT5lm/JvZa514A8n5E9+TzJtXee0MnGAasYJRN0agv6fsQ4Mfz+X7a58+G6622T2mlvKV3Xjijmr+SfNft8k995gsnLOJ+QkBMZzMK1KPZ4L5fPlstoXbuZyRyVxBBLjYo1L3tuyLvf2eXnf99nHEvXiGokceqqSCNKn63IXBcfzLWkUfp87rUoxQZpd32aBDIpi1vApE3H1op1g0tbeq/83H2cida2UldSBjhhS/t0ZmUD2LycQytoNwEvJBQj9JcfrLG0OODk+Zgt8wlSKtxkpGcA6zMx+DOCvCi4gUm/uzzYpzrbIw8qBek0JYrO7gkGVylzZxNQK8FlLkucW+IGSsY5g3t+zFcf9PjUnQ3GoQd1nWvvnL3zwHZt5nLS/qosq1A9QRP0XYoxiyq5CrjBqpTRTbVWPDHSbb5bAnoca+qNmLe9bMgtdw659UHlbEMcY0VCM6SQjGTeeEmuuN1mqprc3Ut1KdK9tgJU+v2yzy1TlrYl2SmFY3oh3H+T1cbkkpXiOGYrSkWurCNdhC10e1bWLYVbfDfPGq671jIza9Ge0HhC4ck05SqqNSDPBF74eqCekCET/84kY5dliRBpVC5LjkU+i7CYsKRESXvnk1BN/jxn7eyuCnDrFNy+F7Hat3z2rgb7z9bc0RGuJFZk2ltQmiBl14A7X5EoTkp1yf/6t6wEObPkqndRgHvNcKAifS+lQpoEaTTRWHPZ5og3vaTP/Xt9OmGafjVOj4cosn0gJKk3XimjLdYci0vu5BekdG5L0QyRsXkqVXIGT2vIU+LKwJ0DPQOxZc3YkIK9S7+3hljdf+yyrAIjHVskaWAexZI49kniAL1hWiITxdKURz1ws0TWm860Rluv+6HcYal0trCO7s5ZvJosWTOKoARmqTIfvAguZQ7gEsjlRECZJXLKLop0nfKGhD/9XJ0PfLKFFdr53hX2ptDecp3PXToe1ezbM2yrN8HelUo+JkCdM/naVrZiP1KDSSRGOl9cSUOUeEhl+NG3Djh0xuMDn9JEcQFyg2AsJMpkgyRsRokFyHNQC5fBwS0COfxFqRlGFnayTTW+Tc+lzYFeXASy1IcpHfXnz4spWNXWtgzslQvEOqAbYYvN2iwMcRufnV/SRHjo6ZbExooNMwrPk5VS2EnwSvHMoH4mthaU0tqUACLLEqUkT1JAZ8xezMRLve8Jx0Rm4FaT8qS6Z71K955xGjzC8yMOnZN86vYm/b4HdbWWvfOa71IALIoEjygfo4nn8I2TPAWDl0BfkizluSXGZPUeJaDLYl9SI50Wl1ITRQmtZsxbXz7gC1+rc+hsmlRwPgOJEAzJTx7CpOC2BdhtDuq0rY5SjXgmSWRRiFe8RymYnAC6LEuUzCfPfr9wdyrVmWUpMvGzfBS3cAVXcWwZhxDHCYurBqsNevMGj7qn6C1ZosQyjgRJUvquk8xd1tZi/Z/JZ5QnEwGaqII9+1k2zLEcXJYTO1KUB7NnzompbLchS7JEytQxSZlc65hxZLjlviZfeSStFpSeA/gEe2cBrxKiKq3ylalaVJTj5hurkzKhV4FeuhuTZg8zJyXdisTpblPIFCNJhEQlEiMU0Vjz6utDXv2CISc/7zE2qXPgKqGI0YwFOZPnYxtM4XCQg7qkydM0vWsTSFP6me4mc00ckKWcAHpWq1ICdi5n1wF37tlPALpwq2x+rK21JInLZPYGId0B1FsKvWXr9tV2vfsFRtF3nDgniTq6koiYBLAs/aNrrbLyJKP0dyZqNWRptJdcx5UQwq5l7RzoxS4DVeekqr9Vnn5PSs9jpHSdOtKPueNBn1/98BSJ1YVzIhVCSLcPkCjS8lUGL8cP67N3BdziGyA7Y8A1MsVW5ErWVOv2SRUYUTgquSaXzhsXRhPHBt9P+Kkf7LL/lOaOByTGFylk3ReIjGJYEVS2JEvW0eS5F54m37LPmzKzTV0NIQtGd8epsAeLgDNd+WWWYS2TpijkrswCytKFYEuYy6SSdVnMTt9wZlVznWh+YceO7atq5yVB/8CJU4fPLvLuXleQJNqJ9wm9XDgapRLWHHiT76VAUJMp9nLxlC2NPk61dr57WDmAnEjmpDXeXw/cZamiKwkd12t5alnwq38yxV2PNN2mPNK1oyE9tBTUJQSSdJOranPx2nvaAJ0PyakOI1Jpu5dUEw3TJV1fvBalUoWJrG4pNimTgZiUeuXdFizMz8UE2nL/4z6rw1JglYaZ2RTxouIw07yVSKJ0tX6jpanas2vX+Zkt/3u5vClJs4qEE2v+jfwNUZ6x4o5zo27YtQui5MwPHDzy+H59670NjBUEKmbHrGHTnJu+Sg7u6kjjIni0EyxevKayDJWfl33wCblS2RZjrTSRE5o7e73uXZUDy7QUNn2e+Al/8ukp/va2JramQCiHTuH2ein3Wxb9jV+nY77EJLmmW3vO13jg64GgUu880W0/2eFj0vmBNmVua01RoyIU0hgSoZHDhLe9YsjTRzze90FNGMSl4ElgjceYdApXll9PnOdmsSXA2VyGKOn2+oESODPWTstzM9mSJXtseq4zjBhRjJkTSXEs5TNIFJu+LrLH6efNenWFwPMkG2d9rtpjmGkL4gT0dbsChHD7JQob5bKkXKpaTc5UN6YSJbmRg7gkbYq9W5jIVpadk+rzCtgzv1ukAC9p7wqDy6TkpJTBnSBLtSe3PhDw4c83GSXpFHyRWYNuE1Nf2Ir2Xjc1Xwb6pIyj+viNtIpNg7vM0V2T0cSuKaG1spTZlCVnRShXmCXT4ixpSIwm8Aw/+MY+9zzmc+sjzi7MvHGkwFjN2Lh2tLyCykzIlFICyOIGDOWgL4NcgjWZDs8093rpe1uAlgJHBZBLkqUkUfKfS5s2JwkH8lRT94eCgyeaBIGHMQY9N+02V00SQxQleHpSSkww7rrAthPMloK88rO1wK4AvDyStwxuUezspdbocFP1wCfZO7/HKB0xGMMv/9EUR04HWF3sllzR3iX5tG5ih7UgLsWWBZCLtfMZQT45Cq+a0SwXX5X1+NraFCPTikNZZXGRGITQyNBw8baIn/2hDvf8REBvlH4Zk39IEjSjDDCsBbkDbvrckjssKgVdBuyCrVM2FwWbZ/jI0vdSFhdCBv4MK1k9VI4hqkDHUlyQQAJEUUI3hjhxu3MYa9EX75pFKUW/32NhYQTIUgBYTcCUnQ+xDrDzgefrADubNCpLujHXlKUKwfxCUMU2Gc4HLwE7BX2evKkkc0q786ZbUGsdESfwO59o8ci+mvO8ZcbchXPiiaosUWJyySwdgwnmzqKf8tDN9fh6DZNPOCdFA0TqUuRgtmurDYVj8DzoNNKBPJEYkd4T5aSKMdxwRcR7vqvDb/zlNGEigTiVKk5fJCjGJtPi6zC5E+goUcpyCrdBry2zeda6lr6WMvXIs3/JTgK9YOpK+t7atLdT5KyfxQoWkCXHxxGCdcF1PaAetEiSBH3zi19Hrd7k2OGnuPvOLyKUnzsha/V3lX3LV9wz6+2SVs9Yuvx8YnB6eRevbOew8v6MBXsnhReuyttNV5lbqxhdS/jyfQEf+kSLztBzHmDqeSNck7VzToqsZTnmKOvwoiJynRmElbBM5K/FJKAnWHsN3itAt5QTQAVrp1NhM0lSTgIJZyMmUiGtcfUqsaJdM/zw2wc89FTALfcqaKQIzJhcCmIjGZHFFAXILQIr06RKqsEVZUCnbJ4yeVmaWOvOt83xInKgVwqy5CRTF7ajyOpdStiyaaJH2uJvDkcRz3veDdxw/bX0en20EB5SpO1qJi2kE5Pa264B87rAlqTlkGXGLhi6+LcKy01MyhJhqiCXNt06ugz2grkzsGuZuIugVCUoZYzUMfuOaX73420OLfmuGif1u92jLNi7VKJQAfl68qQiTar70YtnltyFrJ2oRSlYvGCkvBGC9dL4E0OCskIsa/JNZUUmVYRFSI2MLHtmY/7VO3ocO6c5eFpgdVlgCZAeSQryslyxGZMLB2zKGjz7VZlO5krPL6LE4ra4GPJB+el/K1Kgi1IwmjF3fpxtZjuKoiS3IoHSqbcSAl9TC3yiKETHCcQJhJEgjKAWpOPQJkBeAHsdtpZfj7lt9QLIQF2WJ8JOBJZmIuAsyZOsqKosU1QV6Jk08YOYcx3BL3+wzae+2sB6qkjHp9JkPfZWpQtwrXNSgHu9pE6Z0QsdXgV8hbUnwJ69t7YmpazDM0CXA9Cs80fmFX3ueRp8JoYYgyedq9IZS37y1xXnVwUEJSRagcVthjASpOxu08C0JAlSTZ7JkywR6kDsAJfJjeyfFlkAymQxliiV1ZaAXiHTTKfbEuNnTk1aRissnhb4vkR7Es+TSKUUfhCc8zz5pQ3zM0iZpLNE0oE6uQ9N1aeW5feqjse694r7UQ0YlSoSN9Ukjq363KWKwSKYrLomUjpwezomxPCZu+t8+YFGWmuSWYIyZfCMvYtdg8vzBstuyZqy2JIWp/SzSebOwT+pRSbkypo5hc4gKwK3UhtZ5qCU9bgrNJKViVgu66nS99zzONYIK3nt80e8+UUDfBFDHIMp3W2MtYbYwMjC2AgiA5ERxBZiI4gN7p4WOcXZFoQ224ow3a3Cpu/Z0laF2e8k2XvW/dxmbWelLQ2T7LlN76XfSVz2Mk6yfsyEVmsGY8WXfN8/J4RE/fpv/Cbf/sYXr0ohVq0N/9mwd54gkAVos0Cz0nQgKrXZ1VEOGdApWsxKHfAFwCkld2zlZ7neLidzSrZgocFNytZFxtIFlTGJNHz6zjr/xx9McfRckGqvIqGD1AgpCCTUpBtkr9MxcNls8bXDhTL7sBjMn0+5FSClJN9WRVSH9LulVU4cT4o5MOV7OaAtZ3tLK2fu7khXMy1lEeBPOlqVOEEAxjLbTrjykpiTFxQHT2iX8Mmvxuy56/8x6ZUqCgFWiTjS8qmU5Scv4GqDXLVEeJ33clm2/u9mq51JlwxTcpbCMOaSS3YzMz397/ftP3TfK17+ErdHT6BHKG1oBmNGjRilVb5JaXFgysuFmdDgVRmSp+zLGTdR0t6lbFt5l9zJ4LLQ32UNntWWVMHtNHdaKeglHF2UfOiTTfYfDqClckniEjsuqaNFtoFreiGyTnBdZu7yPW8Imcz+TTB35XXhoqwbXCJww+hL7F5yUWRehVhN30sBxrhdhzNvXKQsLoQkSY+vEQphLYnRRGPLFXsifvBtPR54wufYQmmpyoNOsEYRS+lWklSLZ4/kMsVJFmUyV8VislS+yWRKIScmmx5kpsUzuZul+Ev2okseVS9cm0aq2TEajS0r3YiV7pjRuLQJ1cV7LkV5DWbbA1Syl+7AlViurUexxd4rglI2066xBqtJnskiq0KHF86KLQG5HGymoC5pbvezFNwyQYn0nrL3ck/wW3/e5vZHakWVYJaxlC6wlJLSIB+qliDFYM2yFKnYhZPAL5Fbju1nCjTLzFWq+1lTVWjL8iVlNeP0rUlnA1pRAn8p0ymFxQiLMO5YG6HcayERKIwwJAPDK64f82/e1eWX/mialWHhpqTF3TmIYynS3U9S2STdSpBpbmWADHTSjVLOXuduSgr0MohzfZ5q7ywYncyOW1JP3FaPe0YCUWxYGSjmNu3kuuuuptsbZtcoTM1sZnbjVbeMhyd+VSrl9ioqmfFrtfT6dSK6ortLers8Wi2v9CtV/6lqPYmU1dS7zFhbJaXAslopKNN6k5Gw/P4nm3zwEy16ked0d8bcqWsihBsznHfriJJzQgHYyexlhakzMJcDybw75pvCd3V5LmvvSV+8/DuVhM/E/jp2os0trRu3pd0ijFFpR5DT4y0N7357jx99W4+6icEkFS1ePBpiC2Pj7pERhEYQWafPnSYXhXbOdTiV9+JcV6dxQ/n3LYWWNxN6PK0WNKX3M5Uh0oPTbNc4cX7xV59/w5W37Ni+BUirIX/pv/06WzbWoiOn5KWrXfXt1iS44pUJTV0qlCo3IMjSzyZ/p1LyWim0Kvva5XvqmKiCwaUspeNLEkWWPW8Vg2d44pDPf/vwFCcuBGkqPtPcXuqgKKQQ1CTpJq6Z7i60d2YXFn2Y5aKoyWIpkb9fmWEussmrqfaWxdYra/S2FGt0t8i0viyvJCVnazLRxlo3q1h1HItDtRxVpsCo+YaNMwl3PelxfkE6ds6WpIrmcsVZmYIpfH6xZtkqqn/F+nIsD7DXRubl1av6b5Uu+JRIsvPiabhsZ5M9W9Sf33nnnXd/x7d/W8HgAK96zbfzxm/7LjZvu4JO36T7DlbZupjzV+6qWeue5E0HcjJILBhcqmpg+YxFUyWXROZsXoA7c02Ul/DUEY/3/MoMTxwMsJ4sZEnO4LJkCxZZy8mdGtazBteTKZP9lqXatrVy5Zuh8fKJBNZ636Vd0UwhScrOSjaw01hZ+v2UxbO7Uen4N0ViNSZUXHdJxPt/cpWr94whShyT27i4Z0xuDYmBsXV3x+IlZ8VCbAWxFVVHJWX3jKEzd8XkzF5lf2PXcVOSMsPbfOqXFBB4hquvupxvf/PbeMPr35QfT509abVnCGp1pKqRJKVxxLrwpyvF52uYIkvmlP3wyefF71T98OxnpqK9XYHVNwC2jNGeoWclv/fJJo/uDUhUJkfK2ttNBcltQVHOUJaDX3ITYbKWfc1YiAnQM/H8GyF8chxwGeG23KdZeb9kIU7WjFs3zthYgTACI2S6AVSqx7HuPVItLhTCWBIMWlhuuHLM/++tfX7qNzx6sQCP0nb3onIhJkYyztrVjOuL9CgSPUqUAs70WGcVhHnyJ9PfZN53Mcsw7/aZ8MdFFgpYd35AYNJtbdrNOvMb5hgMhmsBrrXG0/6h6Xb98Mb52p6a3yfwJ0BbXvIouyOTAeYzAzsH9WSgWQokM7AXDkpVlkiRoEQG7piBEXzoU00+/uUm47R4qmBunbO3TMFdbLm3zj47ZfaeZOxyMFkJLEWxiq9B9tfn8Mmy2Up5KlUdnp3YKqNnAej6ySBhBSKtURFWurEL1rrnxjqQW+cx+4nlHa8esPe45kOfbNGPcAcsy7ub9Ouk674xknH6Yz/NcpoU2EZadPp9XOCYgl5mewDZYqZ45qhkNSoZmeQYK52L9NFYEAYSYYkTQ7PRQPv1w4HvHwrDaC3At2zZyokDn/7S7p36Iy1Z+9ne6nmE9NySlx79gqWq9mCFxcvvlYvvyz8vOSciA7Ywa4AuxTrgzoJK4QLNXij40Geb/LcPTnFhxXPoFUV3fCFPRIm97ZpsZTmwrGRp0/NZATtrD3g5TV+8900IlImAMmP2qg9c7AVp05S1SecEZvIkd1RMWuwlyi6LCzjzTaBI2TtzWZAIoUmwbJ6L+Zkf6oCFD3+mRS8SLlLLwW1LrA4WSUQqmYTAk2n/pnEWX0Yi2YUrU+dFJOmIt9Lxz6xCWzqesrxqpkVeZffE4uzBuU3zDOLGRz7yyTu/9O7vW0eiADQbFqn8z+kNnbd09PD6/tAQRR5JqusylAtRlitlhk+X+GcCdoXNTdUPz1+XWFsYRKrB3WvH3rlMqVn+9nMN3vuHbc4taxc1Sr1Gd5czlm7z1mrwWK5TzwE9ydwln7uSji/xtJh883/yVi20oiJV8hO6JnVPWnCFY+tUplQYvOSJO9YGYUxqGdpcqgg0UWjZMpPwMz/cZakr+chnW1ArAJ2DewLkcfpWYkRuv9pUlhhRLn8oelvTsDdnbiOcfWhykikVYqXIzhZMm+r7UQzd0Od0TzyqgubnonBYOaYVgM9t/w6Gx7/3rqDNgzaOrg9jF4jYdOvnLFlRsLadYPNMw5Z8cGzpIrBVUKdypNDfNpUgtsLe7j1TZe/AcOiU5s8+2+Tsgu/87nIypxJYUiR1RDmpY/NkTmWX3uzCLN0nir6pbMeSQfybUyU5mL8u0CkKr7K9Kdf0bpZYLPPHM2Bn7G2zx7RZuZApMvfIXVe9chwrFHFo2TKf8K5vG3DPYz6HT/sQlA5CBeQW0Fhcaj7T10YI50zl38fNMlSUZqaUgS4ykIt8+xNTcoJkwa9p4ZULUoeRoJsITi4sPvhz7//EXUe++GvPDHCAWF6bJkKedsyQekJFwLW+/l7L6tWLYDK4FOtIlDXMLQxiAtxKJijfcPiM5r+8f5qvPlRzDZRrgF0AvKg3sUW6ffK+LmuXLDmeobIwc1ImJcrkv0exDFerB4s1wE5EnVUgl0Y02AzI5DKlOk+lyt6ipMVtWoQlyRJB5OcosQrS12ZkedXzRvziezr83PunOHLWd0FndmnmILdp9OeOtUES4hoQ/PQz6jzQdGn/LPNZAB130ZWOeV5NSBYkrz0Hrn3a0G42eOFzLsEYw5EvVvG8BuBD/d1IqcNHj3wUMzxGqyHSsWjV4DDT2BWwp8+pMPpaYBevU91dlic5uBMH/lSa5Kl4z3Dsgua//t4UH7+lQSjSzTHXATbCHUCd6m7NOuxduSAngswJcOYAzjTiOsB+xlv5hxP0ncc4VLV48Vgqmc1eV4Dtiv2rmc2iEUKmjyJ1V4Rw1qEwrjDXpNIl92eEIjZQ0zHvfM2AxMDP/c4Uxy8EKchLV+i6K5CTLNa4efsGgU5XIpW+VtmmsekiIEvVgqZMODigzCmZMwAALb9JREFUlzt9VAp0T1l2zlle8ZLN/Mvv+7YwjmM++j++AcATsZnm9NRP+M3rr1pc7b7C91Zyq1Apsw5YoZgIur6DItYFt83BnIE91+aibA2mwBYJShuOL2h+6ren+MStDUKpJjKVVZmSZyxTkD8je2egpgB72fdmDeBzUbJWvnwzgeW6oJgsOirqwtem7d0fzfb2cSQqKkzu5EiqvzPbEIEUMg9SRTYONnVWyPaUT9vA4tji6YTvff0QreCnf3ua4wt+MQGopMPXXL1WkKT620hIbLpJbSpTEpsmwyj1DAjSXdvSmDbHVHaO0iRT2hihpGXnpibPv+bS2y7avuMnoLvmuK75eFs3T3P4qS9352dr+2enRBL4MZ5O8glR2ZSoLHkjy6n18viGinddSI9MihSB4/qZycznzsAtVMKZZcnP/M4Un7hlHXDLSQZ3V70nU/YWZdZeh72pVvJBCeQT9/UCzOzkVkD/P4HuKnjX+uLlhghD6XnacZDis5K6dwGoYNI6dPv8ZNOyihR+eWJtUV4r0TG84zVD/o/3dNgyG7noziZFAihP7UdFqj+t87UWonJiyLoUf5y+H1kqiaIofT+2WTmuSH+WlgQkEKU7Go9jGMU6Sajt/9vPfKkrxNSaQ6vXO95CgImX39NuRzfV5PCGctNDOQhDVCUKZFbOpMMyKVNMzuDlgDMDu8gZ3IFbKkPsCf7w0y0+/sUU3PIZNHdKt5nn7WSJA3VWa7Iue2dswTp6W4iKJHkmfZ1nMoX4n8V3NZu5Jqkzsbu0rTK6sVkLWHn7kSLrKSbdFFItnspn0mBTliZnYdKgUzqHRSeGd75+wP6jml/9UJsYCibPPpRR6YWtSt/M+VLGCiLhJIsCktS2VdjSduCFJShL7J0HmmSbzlrCRDBIFDSCxy8sd9+zcba97rFdF+DX3vAa/uoTv5tIcZG9Yv4UNS/Ja31zo6AE6Cq4y8GluwikMFSD0pIsKckU93sl9yQFN1rwpbtqfOxLDcbZNCExEVhSPBdrPO9yE8MEe0NpmVxHd0+YI2WtXQZ05RfKZPENgL1enUb5Z9VGiEyWFLmJ6haEaUbTpBeldbrWldQWgWd+UeTBqOvtTLIPbJ2zYkQadKZOi4/le1434IG9mi/e3UgrB7/et5MlsMvUaXF2YJL+RKWBprKp62bL+rvYFkak/2b2fmKh3RK86zu22Jq/mLzxNW//5gEO8KKb3wRm8DG7tO9ybY83o0RjTPFt1oAa/v/tfXm0XUWZ769qT2e+c4ab8eZmJAkyBRICNLOKoNggLpTW5fOhPnDCqR3admhpQbpBUUFtabV5totRHjhhhIcBmcIYQoabicy5Se58z7SHqvdH7dpVe599MxEI6Ku1zjp7qH2GfX71nd/3+776KmbRkZAHRZkurqRDqlvxIHI2CdGilSYDMYHfPJbBF24uYc0rTqh1q8zAOEURjqWUBU2peWug1oGeqpg0OJXJ2oNx3tIQ4EF8QOy38fRjip4QpYFDdywTmricwR6z4BxpqgoLQS8VFT1fhYQ1DwmEro4w51to5ABFgAUzPNz46WF83gB+91guRClJ+WIS3BxiIqYBuZ4JB0EQvrxPELPgEtyUN/6jyjvqcyDwGWZMaSu/Zd5ZdzQVMmPe4jHH3+RJ0/i27Stv3lk+tq9vRPBwvQSxXNc9mgdJVWJUerprnINHPDykIwYJVKSSCJ5PTOD+R7P44g9KWPOKrYE7Pu1MWHAFbjnH0iDq/gspMF4lIG65k+kIcbUkgWvNqqQY7oPhJyngjvh3NJNXOZzJ/SRfj4Xs0ci94/tqwnJspj6j2ioSgp9zppKzGDPAXIp50z1c//FhXHh6RRBlFoScXE/QCvflOaYfF1lSsrio5ONumIpbY0CVAVVGUNEetfBRCQiaijV88F3T+p5/aeXNre3TxgwrjGnBAaDQfDK4P4Cg/wkEQb/iyjSeBCmX/AYUPYmkQgiiR3TlRKcnkYIScm/CQ1oC3P9YFl/+YQkvb7QBW1KTJO+WllwA3KCa9SbxiKVyInkjkIGxj0nMJkDfiHD9PpCDBnqacxlTVTgaaEgk6sWsOVeKColb8VhUM6IuVH0FKqRGwqhQMCgXXJwjylWJ3tVlWNDl4V+vHgbnwG91S85DYk/DD0w0Sx55y+FSyPLGyc8rP00KXOV9F34VR2drM5YePx8TOxody4MG+NTOqXVe7/uYl+m8a6hvJJ+xheWmNIhujLjJ8V8y5miGANfBLIEvIpnhI7TmhAAwCX73eAZf+n4Jq18ZC9wUkOXHwomIlAA2ErN0wvQBQ/LtVOcyzrcbjmk0RIE2PvFBdkjcidhTAtdj/ZaqjwQ+kQOBRCBJq13IIRUVHu0z8JB3cy2qqZxPruWrEE7DFa55KCEi4uAUwtqKW8IBN8DCLg/Xf2IYjAO/fzwb53Yyd6VhyEptkWtJJ0mLod8EMfuGg4ATA9QkyJsBJk7oLO/ssz42d+aU+mED3DG2M6O5a0WFXDzs7f5+vpjrR8apw6C+kJsCIypZ0NBSwvRiP2HBQ5ALhxJglOAPT2bw+e+VsGZzAtxIcS5DgBOoNFiV5605lEi33npdvGTGYMS/o/4kdm0M6CDadY0YTwN38lgsRZYnzsVAr4FbPx5x8ZCGMJFcJWaPxRUVpb4ICyotOyTQw4gmD8vCIczXEf8GwvmEG2D+dA83fHIYnBMseyKDgNIE8ZVWPczY4hRiGW05qVWz5ID4AtG3ZiGd8UNab8EnDlqLJj55xVnDC+dOW7F+ex/bH4bp/k7CmgzTat03UvEudZrneyD92DtYxYbtLvygBttyIyusaIgKsxuxXBLJsbVj8jhhEbgffsbBZ24sYc2WMSx3DORyG5FqIiOVhgbqZHXYAxbOjIE8DuiYwU5Y+sNtPGVbV1EQs9J6H41Xg2j7+kAgGp3RC+mHlhxJri608GiVZU7AuNDI1crLGi93CY6Z5uGma4Zw5qIaDK5PlgjrQnAW5+VcP69zdYZQzQ/BHQC+i6JVxvwp/ZjS2gfi78MF58zxTMO9dHx78745XeP3e2/3C/CMY2D5s5uwsW/ujp2VhZuWvdCOK741DmdfMw3/e1kWjAdhPUEoqxw5moHKI0lKfyGoSQRuDmYQLHvawSduaELPFhvRvLEx8ksELYmnwRpAam3BRh0/RRpEEvgkYakViGP0uuE8idGaZJcxET6WWY+8HV0aTHJv9WAcMaAzFu+vO5aR86nN4eSJ84wZ2vqcKgAUATyg4C7B7KkefvC5IZxzch1GNGFSB/RY+wmnVBWCAQIOh7q44rxBPPzdPvziH/fgw28P8P53Tdt05pLOHa63GtSwDx/gAMC4gU3rH9jSP+Re+ezmc7B2awc4a8XzPc0YKtvg3AgnfiraQTWprwHYMSvOQWyAmQQPrcjg0//ehJ5tNritFQ0hRLPUkqpIDi5XC9PWkY9JgXF6QnVJT1dPNNDqPLvB8YQELlHWHXrfUPvXwLq/kM+YGjhHmG+SroWrNNo0ZzTFausKSwhqaBZeWXRdXaEJwIcTmOUCWKDRPwDjBHCB2VM8fPczQzhrUQ00CMOSnCkw65ZdB7luxYWAGN5RC005C2/ptgB/HKa1t+ET72lfRd01lz756Pe22NYB4bt/Dg4AZy2ajj19FXS0Znf57uOPbl2/4/TAr+C47mbUaxxV6kVFLkXCVBBZcwCCsoRcHISHUp3wVqgNbO038cTzNr7+4yJ6toTgTgKaJI7RODWxiTY7B/GQfBLIcZrC45Y7haroQE7uJ7VwCXc1MUQH+hggD51IZZ21faTvS9WwwaJL5SQsREnCYyLQozi7mumDcIZNyLkpwDmDrJZFDAVuUeCSg1EKQ2rrMEQVWSrOEZ9j7jQPN392GF/7McdTLzjY2meGCVq6I6k7nPoxEvqg4t+ZGKKW9/NrLDRZDtpaSyiVst8I2OiqpeffAOCGAwL8wEMAwLi2HJ58asWGrkmlm//+bQux5BiKWRNzqNYLcD0rArKajOBHGYBS35Z0hFAmHBYH6Nlp4ps/LOKT32nCui12OFGYoNGRTFFPQmCaJO5YJks9J0PzqRY5hY/TJJAjZ1KhNW2ScXo7MEHXe6Radt64H8s5gW7lEf4DKH4eTUKW0iIjYe4KSeSvaNdIax3p6DQqOaHOhVSFCyrDXWDOVA/f/8IQvvrxYcya5AmBW/Jr3aLrD10nD4GfMQlKloFNW3N45FmKChZiwoxL0DrpHQcDWwAHYcFlmz1zGrK54oqsXbtvfGnPxdRbC0Bp2I7twbQ8EMrAAy4qHxGufjg5YxQAzRBs2GHim7cWcc+yLGpBWMOBEuVIRo+QhMSsuODHinMrxzKauADdsWyMWkYyZqSk6EBXHCVpvZE2MLQ+h+RrSgkQCRqe4NVCJ05Ig/p1MqmKqmuFPJh0UlWoP66XK3qiZixQgLJQcRHaODhCi81Dp1OmDYT5KwAoD0B8jvGtAa64oArHAr7xwyI27jBFkc9QtYFMjpejOwjfk3Bh8W0TnIvclnLVRbFlBtrGd9/XMX7GiqGh4SMP8Lb28RgZ3L5l9ryTPuWNPmv4ZXpRLlNFMVdDJl/BwKCPvUOilse4do62Jg7u6oZHfClqARu3m/j6rUXc86csaqDiixOCkGAcmKLoqgmU5p22QGsyiJPk5o38m8TB2gDkA6BYEfVDwnksikl4w/l4Zz0cL94vllqLRsDLnHE9CCQSr3i4JAqAMFdcXquH+BW3JyG4EcmHIOHEC4hjlDKwOodjMlx6bhXgwNdvLWDTTlNYJMm5JDPxgLYmho52Ufeld9BGfz/gZin2GSZaC3nYmaYHTjt10ac2bd6xtXvGlCMPcAAoNk/G4O4/b50y/S2rav0bL8pgDV7cRPDUOhtPrixi9ToT3OCYP8fDR95ZxpK3eMg7XPzrQHDuV3YZ+NotRdy9LIs6wgRtaa1TQW00gFtaa0lNYlIgNOuNFEBrwG04nuiTlAyRNih0T1PH+KEiXKOhugwIJII5Gv+O5YUnFRWi6heSmAWHsrzJY0Tn3lypLISExS6p+rycg4JCzgnllIYhnHDQQcTgsybDZedXAQJ89fsFbNllApaIdMMH8g7HkhNdXHlRBQvnemAUeHmdhSdXZvD4mhJWrC6gae58nLp00ap7fr9i66UXnHIod/bQAA4AhaYJINas64v2EzO+8aMp7739jy769mZR8Ql83weYhw3bPTzxvI2lJ9Txtf8ximNmBKh5wHMvWLj17hzuWpaBK81w0jrrtASNx4kG7obJCzqg5bZORVKUE4nIBsdQV1JII//WeXcqmEmy/9jYTj3O1TOJgZpERDvaJEkAiwsj+kH2Y8V5aMUjR1VacLFymwA9BaVcGxi6NRcURSppHMJhFTVLOJjP4Zgc7z2vBjDglruzeH6NhbpHMHeGj69/uIylx9cxviWAySj8wERXM8F5J9axo3cP/vySiZf3jrvjvDOPv/6F1dsOFa6HF55gIz8BKeRyC9694cFXtg2cBsZFonrggvsVwK8BgQcjYDjnlDqu//QInnrJwldvzWNw2IAHoikhGoBJIpGKJjIGNWriELHcn5ipwzVrruZdGnK2fMq+KsUGrYwaacxdicqwCaDJVQQokWta6sdoeI1exk387Ud9onP66yMqxUxk9qOc+a+tdBcroUf08tXyO8qSeo012/UFBvQS1XKmlirVEV82hkSLDQTpVQ9i+1JIUHGOaD0ng8LjwNCIga/cmsfTq2xc9+lhnHtyHabP4XsUnpdBzcvA9TIIAgOUAqbT8djVP7/irXM7d1W++cn3vj4AB4DfPfIiGGMP3fyTe87etbsfw66J3RWgXh8F/DLAXMBjKDoMl72jiidfsrB6vQVuYj8cW88SDMFNpe6t0mAdGi73R5WTqQrY8wi8OlCUA6qlzlId3ArIemKWXm9QrwuutrXn2PahAZzopSy0Fe6iARkBGBpQNdATHdCAvhRMvNZ7Sk1IwjSQyxU1tCmEsSq/LIpeGzQF4FHqhQrkEb3Cj0Xw8noTT66y8N4Lqig5DNzlYAFF3c1hpNyEgZECRso2bKcNXfPf8zAh5JxS+8mHhdNDpiiynXpcFxhjT++78IQlv/nD8uz2fT4GawwuqwPMAzhDd6ePi86s43MfGsWP7sxh02YL1aScET2SignRLDtJOJZo4NuCSsQlwlRejQRd0Y415PwQqKzANF4uu+n70fZBSioy5yjc1q/h+r5GRST3iXHvGE0RfFrydDlzhxOdeysnNSo7QRU/lxmHiHF1lawFyPLaWk45RE55SAzD30+TcQhQ9wnufcTBj+/MYbhK8M4za+ju8EENDtP0wDiwd6CAvqESZsw5reoU5j5NyEGp2UcW4M3NJVSrla9c9Pa/4727tl9T6FmfWTivglJ+H/pGAvTuM/CRSyp428kuHIvjQ++q4uVNJu59OCsiMzFEpfFtDdxQ6fPxuiZJvq2PGR6TAPUBEO8nz5MGwOu8XHc09w/sw2+6TKg7nLosKIAvQQwVzQz5s0rWUmm1SdlRBHugJiqDR4DmmnTIuFgsiiM+aUKAN6yuRRQnJ6HeTiEGU9SXh/feIPjtww5+9n+y2DVI8eUfFPHoChtXXlLBnr0GeoeyyFk5UN9G55QZtakzz/gu4/Y/5bLZw76nxmFfCeDaa6/lpy4949FSwTGmTQiWXLJ0t/G+t/eBmh7yDsFFZ9bQnAsAn6PQxODXKe57JCP+e6FHJA/00AI6VKsKG1uwVefeaumVyKKnUA/5JxGnGglqEr0+0ZxVov3JyOMkKoMMQrT+iqZE/cb6E0sMPqoPPG2b6ukFoQNMwzwEdUxkEqZXxY0bgQYDEL0+abgmlo9DOGgIdt1pV4ZCzyQFiEXw7V8U8MRzGTCTInApBgYIWloCPPqcg1vumoh125oxY0qn2zVt6vVDg3v/Zeasuf6rwehhW3DZxrf4rhtMvq5lyh63XA2++Y3bivSuh3M4dcEozKAM7lIEAYcBjrkzPRw7x8eLPVL0TwnojGG9ZY5JfIZOXCKMUZHweazaJ0j0FQf2IwESDn0dTAkAaM+yqTiRbu7VJk9QkTGPQVnneFBI6t4aHWE8DLWnWHOSsODRP4NGV4i04lzlsnCuKSa8gabIGf5UU1QkdRELw6p+hs3xwloL6zZaCMzQtzIJAsrRPSnAFeeXMbt7L5avzDHfavtmS1PzjZt2DLqvFp+HT27CtuSMizFt8sZq96xx920dXcx/eN8ErNveDmI4YJ4D183C9x2AUUyZ5GPW5ADhojGNHFytsqrQRTRwh/kmArhK644sHtWililgT9O3ZfJUMkU2LhMq6wkkBkkDfg+NqKQlEsZAHb5mLIjDExdyEdyOUmahqEgEZF3eC6OVDXM7uQziNPbX96PlBrnMcKSN/aPXEq8HCvRsN7BtuxmueOcAVh7MyMP185g+rhkffTvwuQ/O5VO6ptz38s7B6hWXX4JX2161BQeAOp2NXFthfbbYedXVlzXfun7tM/TMhQXUahTgLjJ2FSYPMLCPY2efIVJh5VSmMTXwyFVTSVTyLFHbjTy78YFwCh0wNsj1Z0hAJ46J65MeZnwzqaPvD+9S4474duRwyoOI6906hyZQARx9O8azQ16N+OQIaFZeDAIeWWnFzXkULFKWW+PiRPBx6FY8/PJKG+fhswEEDJ1tAZraOXp3GICRATWzgMHxx6cLyFEHi086np124oyrdpYnri+ag0cCmq/eggPAnO5TsHat5b7tzKW3nTAr99mzF02CyZuxb6AZlWoWQWCBcYrnXrbx7KqwliDCyQw6RSFQVjwEB5Xg1ictxPJIlDMZcdMk8HVOSw4S5AmQxvqkYTjhgB520yyznjGozpPoWaXEqmcZypceqkrEkklXSeusURUoqxw/pl6Xpz2gzskkMH2NIMYNeHUDJ873cOJ8FyYhINRCyaGYXCIIRg1s6R2HNVsKn+2cesZtk0qmO3f24cmCyXZEAA4A8+bNxkD/nuDsc9+68cRFS0eI2YqRsgHfN8AB1FyOFT0ZuDARrZmjFadPWm6ZExLj20iPWh4saOM5J3K7cc15jPEagPbxws5Jiy8+uk5YDhL1iWxBngR6DKwpNCaiJKSxLyfx14hFPRvByljaANDm3iZmEUGqJREPF7+lWB7eRBCY8AMbNigWza4jYwcgIMhQjpzpo3N8CaeftnTk3HPP37hrd2/QOXnGkYLlkQM4ADiZLEZHyw90zTru6vnH/V1/Ll+AQV04loc1Wwz88k8lcDsL0IxITJHBHD1WnjCFEvYGiQO0UQpMVEEiiT4Jx1EfDLGQO0mAHog2Ys5kgrqktoPBNo89NUxf0+dmpnXUAY8GYMt8FmhyolrXRwcx5HulARuJa7TPFU/PFV9aH0SMGfADE55vwa1lcPnZdcybXgE8FxWXodjUjAvffk7/ksUnXl2tlR94NZJgWjsiHFy2fF5M4a9Xh26fOedUc6R15HpavrvjpU19+PJP29BfaQa1HXBiiNw3HtbUSMvISNATCfTkigyp9CM6zxsHBRSPTwN7zFqj8VgM+NAstOasyt1DwLdg3QlOHufmSvtWykiCK+ucGSqYw3j4OXU+ThqtuVwHXnRN0BciqQ2PlBTGCYzwJnI1lCCdYgKEdRDFrC/PZyhkDFx75TA+92MbA7XZeNdFZ+897+yl/1ire7dPnNB5JOEI4AgDXDYn2wTmD/ysdeLZ9Jmn13/7Sz8qdyxf3Y5MPouMIW5MlYniiZBrA3ASWnOFjNRJC1DcWzmb8YL1Me4NDczhayuQkhR6I631GOqJBsixErQatlNaLEipRTOVjEciMDaCPgF2HbCx1wgBygBuiPxwFQWVkU0V1CHhwCBRdqE2iGKzfOLWXwaHoq8eVk6QE5hdz4LnW+AA6mYGi48ZwY1XDeDFPZP3vufCpV8arAY/m9Te9FpA8bUBOABQswVfu+nnt/lBe1Bmx/17U2Fva1uOI2NwBAzYNUpRrzKAe4DJVdAnZE0EUCW9IgA2TlxIPtKsu3zBsaTBpHOZ5Ophb+0HVPwkJoFz9T4HbGOF5Un8fFIelEAmCbBHFISogSHrqIhpa8LdiRUO0iKZUa0UouvfiE20gNS1w4EhPqY2ssLfSOam2I6PICDYV7cwNJJHwCgs00etZmDxwvb+0wrBF8B/9vNM+9WvFQxfXSTzQO3PD96HY89438qJ45q2TS7y893RfqetSFHKUhzTVcYlZ+2CZVSxYw8VqwtoSVay9LEs4mPKqGUiIzBKIorOJY4nswOj53jkUkU11XES21ZJV0R71qObauFWPWqZdix9YAqApFEt9e8Sc5Bjz6RhYMcGLtnP+TG3uRK2gEYjEm3rGYyipB+Bh+UvEty+LItypQmB34RyzULdJbCyM0fs3PSrWWD+sjjxKn6IsDqk9ppZcNlmtzKWzeTu6C9N9NuK5Bf9e7ZnOsfZWDS/jrMXebh46Sgu/wZBz04rNtyU9JekJgkVZYwb3wCA2LnG5bhjINGpR7QtrXWcZ8tzjZREUZ2xWmSJkU5ZwvykOO8GojUlYzQFiFlXlect+hKNizeqLOo9mMbFlfaNRk08ZQ6nZOGGwbBpF8fnf9SKrbvbcdbCLBbNdtDR4mPOzCk1Yk/4n4OV0j2+V99v0Z4j0Y6oipLWPnXV5ai59cAutN0zb+akK04+obs2fSLDuBYDvp/F9HEchWyg3PIQYMmQvG4tGq1X4nGgaKYG4mQpCf0z6K8ZNRI/ljwXAbvhZHqLJiho+/oLjpUsFUuy0iOdkprooI8pIkgHeGpUU21D08RZ4nUgpcKwDwEwWqXY2JsDo1nsHSDo2VoHt6bVYE26Ysa05nu8ej2Yf+Kh53cfanvNAQ4An/zY5ZjW5gZr95x67/w5Ez6wYN6ESnNxBBmngmd6DPQP21DL/6kZ8xQpq6ERjZcnyj7o/HdsPVzXq/W+mnMJxbkblBYNfLFzMVgeektI2rHIYywCGQV2EAV9UvVtJPRveX1S+5batXasMRik6qk01FmJ9RN1UwJmoK3IsXhOBa7rYfdwgGJzZ8Vw2j9w+jkX3vvI00GwYNFrD27gNebgervzzjtxy7dOw2ln3bba5sdvtp3Rc59a3Zv559vyWLO9GbBzALVAqKpUZVER1ZcVYxt4Nd0P9x7zvFouen/H1cJHKtNQ8WmVXdiQZdjAtcd6TufZcZUn7uympxRoHBt6HxIbrKnH09475XhsYTHtvE4J1agWEcy2UoD5M0bwSi9QaukemjCp66NfvmnnHeMLvXj/5Ze9XrB77Tm43k5aehl6N3wfV/906q+OnzHOIv7cG83ci22GDZiWFWbAqeSqZFWqMWsLIg4KYKzzZIwfUAOT5NmJfkC8n96S/wCHZcKBuO6tfRYOJfFJiywWTVWReVnkJy3Q08ij5bbk30LFjmTE2HGlvIgclASFgfaZmAEWGPB9E67HUSrk8W/XLOlraWr/TGf36K/q/kRcdeX7Xk/Ivb4AB4DxMz8BAPg13/lfgGl2Tpx63a2/+EvH9l2jcIkBVzo6kODmUaQy7lim8GykOJspYNb7RtbvAM5lfBAkVn2QTYI8sphjIz3mVOrHtBMxmkK06KFAmZIFQ2dTghx6QAYJcCMpFWo6eMKZ1UHMOAVYWKWMhovNhtxbjkYWgtxzDXiYALv13L1D/K1f7PW8/5pEWl9vqAE4CgCXjZBODAxW/vOS884hBWJ/+94//L5j2XN1eIGFABTE5LCQsOBp0mDir3RsxzLOvdWDNO6jkXM3hO+hOZLymoS2De3atKZHMUnsRZXCEr2kZtWlugIdkNLBC0tF0Ng5DdC6Tg7dCU1afy3fHAAYCeunUBDOQMJ9cT/FcoOMUYzUPGzY1YE5x7x7b9es074Ezv+TmukLRL0e7agBHABamnOojFZuu/C8U/wZU2s37bvp2Zb123ajrwL4LBvOkOHapGKlf8cAoVnl/VlvpB1HHGANcqLGMUn0hvJYHO0HFeCRjav3k7sEmpgUA7IAJeR5ggh8EWWAkgwjmoEEaKFRFKjSEaqkhHpf+ZcgJzUQcIQL9wCgoZQoPrxhMHhBFSPlLLgxDdmO8wc6Ji35fK1Of5HLOUcTYkcX4ACQK+TAeeX2efOW9l+wdKh79tT27/zyd3+27lneCWrSaPa7XIa7wbmSzw3Trw7MvfXBgYZ+ut5NGgcISMPgAGkcSNA/o2wJGiLPRxadxLsm+xCd+4YLJugrsAkrTsIiPCqPW0UloXK/SdKK8xjXl+cBgoCrkm2UsOi4ZQB3LzdQaDnHO25W4QvHHbN0I6PWb482uIE3AMABgJAc43zVA5+96h12b+8Llb2D9i2btq4juwZr1PUtFGwO2wyXgAHCZTbiPDYG4DG4d0MgSLPQadfHAAtFNZKOZNKv1C194iCAhih96rFk4IeMZcXB49aaIEZvZP+4NSeKs0e1BjUJMbxSrqAHiBRauegsNcQ8y1zGQ7UeYLDczmbPOokPeAs/vmrfST9fu3eb+54LWo42rNJ+haPbVrzwMvL5THbF87unTCg+8p5HXtz7rV/+poo220Ypx0ABeIEoPcDCH0TWFTENHtXMN/QaI1LOS0xAlrJeTBZMXBOTAal+nGgD5iBkQmiDLOStY1GpaDK0NiBjBfxp8hxXE6eJSmMgVNaHCdOFI79FFQuKajmGdVIMKhYAMw0uVrSmag1UxijqngHPp6CEo5DzYFv9WLl9HAZq3f/0oXeefBczO7f5fq3aPmHB0YZS1N4QFly2RcfNB4BqZc+NPdmO3utW7z7WPuvkoa/0btlmOEYADorhClD1ADcQgDAQTgyCBuAE+HTQpFrv/XB1pT+Thr56i6XNJvm4br0T1lUcjDuNSS7PtffgIV9R6ko4URhKMozyurVsxMh6EynpicHGwNUa9RxiGloYdBfAF9F0nxP4PsXQqAXf5wi4jc5JU4PZ3c3XLl7afd2OwZ7gO18442hDqKG9boGeQ2nX3vAgmqZ/hn/mQx945A+//m+nKU9Phj9iFvM+hioudgyZcAMS5VYYRhgUMsTD0KpRRdYXmuVrSLYimhVU22mWmoboltY5UnHC0hBJqw4kAytkzEEVi8Qm7glJ29Ic34gmSbWo4f3Dz62Ilnq9iNyLawzKYJoMthnAtsTDsnzs3EewYXsBht2GaTOW1OcsfPcNXTPP+uralefyy//+w0cbNqntDUVRkm1oaDj01vHt7dteWbJ25W/osxu3LbnhDmqa1EDeoWjJcBQdhrzN4ViAbaqoZFIZUX/rpCGzUNKHOC0gCWqS7ohG9ITKc/FaJvEoZDrvB1HqUBpNifeXtGMMqkLjVETWjFF9VAwBWroDpRy2xeDYPnIZD7lMHaV8HY5dh+d5uP+pCf6mbV1PfODyd7IZXV1PBAG+ZNsE2dzRkwEP1N7QANfbP930S2Rso9g3WP/Jmg27LhsZXE839HIgKGBSkaMpw5B1AMskUQIVEI8KRtQlTAfQrbcRHtcHgQR9GrgBxC02FWCODa4EmOU1ekBpf46wzrcb+2sLakmgx9IUFMCNaJ9DL62hpriFfgHlsE2GbMZHU76O1uZR1L0BDNcdTJkwk7V2TL/TsPIfYcwbybR97GhD4qDaG4qD769965r348nnN48QI/+JoLZxQ1CtLHjgidrF/3FXP4LAQcYmyDiAFa6bzpmYWBEA2g+JhCyIOHj17aTlhvrrBzSg6ipLjHdr56Nj4ik2YQFRzpTSweVnlOe111Y6d6h2EKWeIMGz9ZRX+Q5yGp94XYKAA0FAovRaPxDfvZirwfdG0bNnNl7cNvm+f+g6fVWmY/L3WK06YmfnHG04HHR70wAcABYf3wUA+zh/6avAB6e59kb43taL17y0DlkygmLWgmGIhUs9H+Ae4PscLFzrqNFyhlYaiFGIOI9utMLpHiRBKr9OdgtbJPVxldIZDUAt70RdkNgmEFp3GLlE6DRKx5JBVqnSUmghlRMxMFiAcEoZgeuL9emBALWaj1KhGdm2hehqmnNfvbT402u2D26ZMWPq0YbAIbc3DUVJtpc37IVpmTN71m8+1uTVT23fsuGMbVs3YHhkBK5HUK0zlKsM5RqHF3CYlMA0xdqyphnWAQ8piaHREHEsOXNHU0mgNGrd0aRJJ5PGx8H+8lLSqEmcX6f/cKovD51DSWtU1qWsIW5SDtMUFMQyGQxDWOvRiomRioFylWC4HKCQL2DevJmYf0zX8tYW43vF1q6VgL+BkElH+yc/rPamBbhsoWw2+/G//GViLmv/ePPmnplPrVhpDI3UMVIFNu1m4IyjmOHIOgSORWCZiNfrjjmKEvBiEOjppXqwRN449RqkYXDoAoWiGxrvkD8CIcq51GuZS8DGvq+6VH5uvU644u7aFD/KYRoclsmRsQPkMgEKWRcB5+jZksPQqA3XNzBp6jHB7NmzNoAHHz1l8am7APQk6y6+2dqbiqKktfAH6BkZHuhhjL01l7UnzZr9lrufeuqxUsnpyf92RT8eeroJ3e1A1uEwKEkFtwJk6HBFaotyCln0l8+13BFFoCPLTePOqJ4GCw2gUQieS6ePgGqjJ7Ls0FJSuRbJlQOAiwfjQveVs2wCiDUzxbboyziBaQYY1zqK3z3j47m1zTjzpO7yqacuHR4pu5dOmTJ5h2EYW97swJbtTQ9w2YqlFnDGt5SaWrcNDJTnn5tni1uKJ/xH2XnZX71jeyvx+4oZm8GxAYCDUgrTiAZIwqKG4DIITEOAnHMgCDgYC8TqYjwEcgg2JbURlTMTNgbEAi4qtK6H3gX5jko3AJoiIvr44dLvfqCiuOI7ADR0IOVAYiGwRRCMIwg4XA+ghMIwKPLF9pEFC+f3d88/yRzfZF7Z1TX9ScvODwFgfy3gBv6KAA4IwAFg9fKOgULnxAcR9M2+f9lP6z/459s/95e/PPUPe3Zt9jKmN3ffQC0zMDQKxzZhmRSexxCEwGPgMEK5z6AElklhmuIHr9UZqnXA9QQwTSNMS4WcPU+idAGpksiV9hgk6BS4xTryet6HsPyMKu3cMLgAcfgdq3XhXxAIX4IgHFCG9r4Qg8B1RQqDkw9ArCxGKk6tNZNZ2zphktU87YTb7/nZ+//tfe8/22nvKNVe2THMZs8oHO2f8Mhj4mh/gNe6rVyzBZZlkmUPPYZZU3JGc1Phli07R2av69l8msn7jeFyBb37XPDAB0BhmBSORZFxKDKOiYxNkHUEvanUfKzb4qFS47BNAsemcCwCxzZgWwZsi8CyEAFSWl2fAYE2r5pxYVHlg4NDruNjmRS2TeBYgGMDGZvDsRkyFke5Bqx5haNaY3Bsgqxjis9pi8+XcUT2lO9zOA5B3zAHIUUcN78jaGmf+thQOdvjuZWrpoyvBjPnLQELfJ4vHbk6gG/E9ldlwdPasfOmAYqA+Hv2Dn5k7ny7ZenigX996YWH7EefWRM0t7ac0FYyT1y9oRflgVG0N1vIZhwQcFgmQTHPMamjDssawuNrbAwPWWgvCefNMmWQBEKlMQHLFOcYI4CrqIWgRgQGCBgBAsZQ94Jw8VQBbkIAk4kMCoMKxzCfYehodtE/WsVLW0w4xMLEVgqDEpgG4FOAmT7ytodsLgeXT0RHa/XZbN/e5+psmnH8Kee5HeNav+zW3QEn03y0f5LXtf3VAzzZxnU0A8AAgP8FAMuXPwpCcEa97p7fNG74Ut8tzyk6Hvb2bkG15oPARcaqYXzLELjZh/76BJSrNopZDscWOdWQ1tcAHJsja3OYFgdnBEOcYrjM4HocpklgmkLFIR7BaJlhtBKAcWH1M7agPIEpisYTAlimsOClvAsXw9g55IDXcsgYBPksRTabBecGZs7pxtSJJopFa93eofa7DdP+Y/M4vnzRKacd7Vt+VNvfHMCT7YwzTgeA5Vt3DiyffQweBfe63eoge3hZH6NWU9f0Ke1fhPcKxneW8d9/AjZu89Fm1zFaBjKWBZ4hQpIzGCwTyDkcxXyAXIbBsQKUCj5e3GDDogTNJQsFE2gtcZimi5UbPYyWAccCsg4B5wEoEQPBDwyAcxgkgEFqqLsuJjZXcPn5Wby0eR662nycuHA6Am/oui3b920+ZuEpdNKEZuo4ZGMX8CC1xh3tW/uGaH/zAJdtamcLADwo9wcH9sG07ObB/t1P9O3maG6tek3j5l/z2Q9b5zVnAfAALzz/PAxUkc9ZKOQp8lkgl62irTSK1lIZhZyLocoo1u8ej5KZhWNxtBZNdDTVkcvvw5qdNgZG8mjKMHQUgOkTMjBtB4ZhwLRMGBZHqakJc+cvhG0RNBVruLLbXfbDe/M3TW3xrfkLFmDK5InLazV3cPz4jqN9C9+Q7a/eyTxSbVXPDgDoMikbb1Kwet3Dr+74NerVATQXLZQKFAape4tPXvD15vzOC1sK+zxCKOoex/2P57F6QxNmdZpobzEwa2oVq7aM4v4nHJQ9E5T7mNqateZOLf1m/doXvl4qZq1S3kSpwDF9cjMWn34RDMOGZQbUcXgvODZTZ/rRviVvivb/AX4E2/bNjwEg421saGrK9/KAOQgCilWvWPi/z7SgewJFc8lA96QKHnrRxUuv2HAZEPgeprUXyYnzJg5xxnsvfNvfNm8+ku3/Ae/Y8tCOxSjTAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjIyOjIyKzAwOjAwDc9oKgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoyMjoyMiswMDowMHyS0JYAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 15827334
{'hecke_orbit_code': 6940700706448, 'n': 1, 'trace_an': 4}
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id: 15827335
{'hecke_orbit_code': 6940700706448, 'n': 2, 'trace_an': 0}
-
id: 15827336
{'hecke_orbit_code': 6940700706448, 'n': 3, 'trace_an': -2}
-
id: 15827337
{'hecke_orbit_code': 6940700706448, 'n': 4, 'trace_an': 0}
-
id: 15827338
{'hecke_orbit_code': 6940700706448, 'n': 5, 'trace_an': 0}
-
id: 15827339
{'hecke_orbit_code': 6940700706448, 'n': 6, 'trace_an': 0}
-
id: 15827340
{'hecke_orbit_code': 6940700706448, 'n': 7, 'trace_an': 0}
-
id: 15827341
{'hecke_orbit_code': 6940700706448, 'n': 8, 'trace_an': 0}
-
id: 15827342
{'hecke_orbit_code': 6940700706448, 'n': 9, 'trace_an': -2}
-
id: 15827343
{'hecke_orbit_code': 6940700706448, 'n': 10, 'trace_an': 0}
-
id: 15827344
{'hecke_orbit_code': 6940700706448, 'n': 11, 'trace_an': -6}
-
id: 15827345
{'hecke_orbit_code': 6940700706448, 'n': 12, 'trace_an': 0}
-
id: 15827346
{'hecke_orbit_code': 6940700706448, 'n': 13, 'trace_an': 0}
-
id: 15827347
{'hecke_orbit_code': 6940700706448, 'n': 14, 'trace_an': 0}
-
id: 15827348
{'hecke_orbit_code': 6940700706448, 'n': 15, 'trace_an': 0}
-
id: 15827349
{'hecke_orbit_code': 6940700706448, 'n': 16, 'trace_an': 0}
-
id: 15827350
{'hecke_orbit_code': 6940700706448, 'n': 17, 'trace_an': 18}
-
id: 15827351
{'hecke_orbit_code': 6940700706448, 'n': 18, 'trace_an': 0}
-
id: 15827352
{'hecke_orbit_code': 6940700706448, 'n': 19, 'trace_an': 2}
-
id: 15827353
{'hecke_orbit_code': 6940700706448, 'n': 20, 'trace_an': 0}
-
id: 15827354
{'hecke_orbit_code': 6940700706448, 'n': 21, 'trace_an': 0}
-
id: 15827355
{'hecke_orbit_code': 6940700706448, 'n': 22, 'trace_an': 0}
-
id: 15827356
{'hecke_orbit_code': 6940700706448, 'n': 23, 'trace_an': -6}
-
id: 15827357
{'hecke_orbit_code': 6940700706448, 'n': 24, 'trace_an': 0}
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