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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [13, [-2, 0, 1]], [17, [-4, 1]], [19, [14, 8, 1]], [23, [-28, 4, 1]], [29, [-32, 0, 1]]], 'hecke_orbit': 90, 'hecke_orbit_code': 400820366869538278, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.dl', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.y', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{8}-q^{11}-\\beta q^{13}+q^{16}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1703294219449588322, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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-0.36526662537274057], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.4142135623730951, 'hecke_orbit': 90, 'hecke_orbit_code': 400820366869538278, 'label': '9702.2.a.dl.1.1', 'level': 9702, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [108, 119, 121, 108, 111, 107, 107, 111, 111, 123, 116, 105, 109, 109, 110, 109], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, 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-176, 0, -180, -26, 0, -14, 404, 0, 228, 12, 0, 0, 20, 0, -16, 30, 0, 18, 0, 0, 352, 96, 0, 114, 160, 0, 154, -160, 0, -50, 26, 0, 0, -26, 0, 52, -36, 0, -86, 0, 0, 64, -190, 0, -160, 16, 0, -44, 268, 0, 308, 44, 0, 0, -146, 0, 168, -8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49159123
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 400820366869538278, 'source_is_minimal': False, 'source_label': '9702.2.a.dl.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 400820366869538278, 'target_is_minimal': False, 'target_label': '9702.2.a.dl.1.1', 'target_level': 9702, 'twist_class_label': '3234.2.a.y.1.2', 'twist_class_level': 3234, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49159124
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 400820366869538278, 'source_is_minimal': False, 'source_label': '9702.2.a.dl.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717820066, 'target_is_minimal': True, 'target_label': '3234.2.a.z.1.1', 'target_level': 3234, 'twist_class_label': '3234.2.a.y.1.2', 'twist_class_level': 3234, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49159125
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 400820366869538278, 'source_is_minimal': False, 'source_label': '9702.2.a.dl.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 369295169477944806, 'target_is_minimal': False, 'target_label': '9702.2.a.de.1.2', 'target_level': 9702, 'twist_class_label': '3234.2.a.y.1.2', 'twist_class_level': 3234, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49159126
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 400820366869538278, 'source_is_minimal': False, 'source_label': '9702.2.a.dl.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090449570, 'target_is_minimal': True, 'target_label': '3234.2.a.y.1.2', 'target_level': 3234, 'twist_class_label': '3234.2.a.y.1.2', 'twist_class_level': 3234, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5045150
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 2}
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id: 5045151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 3}
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id: 5045152
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 5}
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id: 5045153
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 7}
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id: 5045154
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 11}
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id: 5045155
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 13}
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id: 5045156
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 17}
-
id: 5045157
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 19}
-
id: 5045158
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 23}
-
id: 5045159
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 29}
-
id: 5045160
{'charpoly_factorization': [[[-34, 8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 31}
-
id: 5045161
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 37}
-
id: 5045162
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 41}
-
id: 5045163
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 43}
-
id: 5045164
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 47}
-
id: 5045165
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 53}
-
id: 5045166
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 59}
-
id: 5045167
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 61}
-
id: 5045168
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 67}
-
id: 5045169
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 71}
-
id: 5045170
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 400820366869538278, 'p': 73}
-
id: 5045171
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 79}
-
id: 5045172
{'charpoly_factorization': [[[14, 16, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 83}
-
id: 5045173
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 89}
-
id: 5045174
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 400820366869538278, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 90, 'label': '9702.2.a.dl', 'level': 9702, 'portrait': 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8TkRMzpRUGr63Hh5hgMRBqOnq3Q6RuaVUEtEEgSwjClWUtp9wKOzsFQB2hjuHRzRKeXcmrBY6rhc/7mhO0butRrQ4Q0RJGg1asy3wqYqgl86XNqLuDAScGRMwnHFhPCao9XX9/lu26EUE6y92iTY2cVpzPmnjfsXzC8+Ip5fvXdy2yemuTo6WnOLFaZX/YdUdjjOL+ccnxBszCo8a/fLfWPvnXHxyc3TP04vagtJn/kWw2Jv9Xt7zXAF5danG4LGoF5z9Fjz7105cQH5GKn89Jrdx7zNk1Oc3phHfPLDeaXK8wteyysCJZWUpZaMYutlNMrcGhRsH7dCr/2A4vccHGN42enOTVX59SCx9lFw5mFhBPzKXOdhMnpAS+7qstLLoVAVglVyNmlCqcXPM4sCXpDSBJNJdDUKylTEwkaOHomod2FHRt86tUhxggQAd2+ZvvGIYsrHhgrRVa6MEzAYFhqRWxZ79PpK4QyCD2kWfHZvmnASk9w9JRHqj1mmpJGRRD6kCSC3lByZklyetFwdjkhDAfgJ9x0eZeXXiGYbVZZXG5y/GzIqQU4u5Bwdinh5BIcXDS8+PIFfv0Hltk02eTYmWnOLlaZXwlYWJEsLKcstWMWWwkLLcOptuLYUsrGyeO85dZ6EsnZB37xx96pt227/AEhk1+MoypB+Pc3O/r3Nsj8g/d/ipnpCU6dnv+N93/83n/9qdsfDDutAetnu/znn1Ls3DSkXh0wjHyiWBIlglR7GKMwgAEQKVIaDi1M8esfE/zGD5/l2p0Rjeo09WqDZi2kUfOZbCrOLirOLHt89cEKX7w/4aJtPS49P2Fpuc9l24Z8z+s0caIQGD7/UIW5VoVqOuTIaUW32+DqC1Pm2gm79/pcvE2y/xTcdAm0OhBpj9CLWFeHfSer1KoxoUqYaAhWOnDjZR0Ongi5eIfm8Kkhzx20v8/fNuDgWcNEY8hSO+ILX61hhCJNU269psfN1xrOrPhce8GACzb7JHGTXr/K7kMVziwI5pdT5pYTzi5pji0JznYjrrl4kV/5vi7rm1McPT3J2aUqCys+CyuSpVZKqxvT7qa0e4bWQLI0FCRJxOYZzdtuOeJt33jmlrD7fhaOve7mxvo36Gp94pf27/oUF131tm81ZNa8/b1k8A9/5FO85OpN6vZ7Dv3KwaNnf+nRXUfVscWEpSEM44hrL1jgv/zzBa69sMqZxWkWV+ostiostQIWWx7LHVhupSy3E5Y6CQstOL4s8KoDbr5iiXfeErFzfZ2VbpO5pSrzSwELLcFSS7PY0ix3NO2+pj009AYJM82Y7Rs0IAh9w4k5HyFDdqxX7Nxs2Ly+x9nlIU/vb3DdRYZadZlnD0zTqEdEkc/MlKY/gMu2D/izr09yybaE4dCwbkISp30alZDnjgyo+nWuuTjhmUMRZxcDtsyE7NwE2zdGKBVzYgEC3yCEYceGhKmGpNMP6fZ82j2fpbZiaQUWW5qlVspCK+VMCxYHKdu3dHnnrQvcfKlHxW9yeqHJwnKFhRWPpbZguaVZ6cQsdVKWO4bFDpzuKOZaMS+59DT/6Z8vcOV5Ad1BlVa7Srs/haxcnPqVzb+x0Lni3zcrR9IX3/yWbzV0Vt3+XgF83759VKqV6qmTJ7Y/+PCud+w7ePI/PL//JFGq6AwFKwPJ/FCw0o24/sKz/M4/W+JF51eZW5picaXOcidkqRWw1PZYbsNKR7PSSVjpJCy1DWdbglNdA6LLW17e4g03aM7fVCGKaiy3Kqx0A1odxXJX0OkJBkNDlBjSFJQ0hD5UQ8Nk07B+OsbzBxw8HbHrQIhO6rzuxgjPX+Hx3ROctwm+9EjCy68MmWv1qXiKJI2ZnoIk9vH8hMXFGi+7ts2XHmywcxM8tn+IT43X3qBJRJ9dB1MOn6jgyYANUx5TdUE1FASBQAlINESxYRBBp2dY6Wo6Pc1KT7PYNfTTlB1be7zhJS3e8tIIdIPFlQnmlqostnx7nFqw0klpdRNWOinLXc1yV3Cqo5hvJ1x/8Vne+8/muOq8kKV2k06vSrcf0ukFdHoCr7INFW7+d1Ozl31iy9Ytx4bDQf+iiy75VkMpv/29AfjJY/tZv3422Lf/wA/t2XvgfQ889KQ4u9CR/aGhNzB0BobuUNAaCOYHkoVuxA0XzfFbP7rEdReGLKxMsrDSYLkdstIJWO54rHQEKx1Du5uy0klodTXLXcNcR3C6pZma7PEdL+5w06UJOzYomlWfdqdC6EtAESUSrQXaQG8ACM1UY8D+kwZtIu58rM6wV+XCLQE3X9Uj1ivc88Qk11zks/9Ml9Zyk5dc1eOrj4dsmDbsPmr4F29us/tIyIZpyV1PKG6+TLHUa3Po+DTXXBxxz64+ybDGTZcHXLBtQD/p8pXHFaSCgyc8mjUPT0CvL9FGkGpDnABS4wWaVtdQb8Rs2zTkpZf1+I7rEmbqFc4uTbC4UmW5bY/NclvQ6kKrk9DqJrS6Ka2eYakrOd0RLHQSXnLpHL/xo/O86PyQxdYE7a4Fd7cf0Ol7dPqKTk/Sj6t6244rzfbzLvjJnTsv+PDi4kJ0xeV/P0D+9wLgOo1kEvff+NxTt1+4vGLe+9Ajj/srHUG3r+n2U3qDlO7A2LsD+cJAcqaVcNOlc/zmjy5w7YU+K+0J5lcatDoVVjoBK12PVkfR6kGna2j3EtrdlG5f0+oZ5ruC+S7E6ZCrL+qzcTql2zO8/iVDztuoSVKJJw1RDHc/XeHYXIVNUwnPHqyArnHpVsW1l2jCSo/H9/eYX6hzxXl1mpPLPPiMz/UXVVjsrbC83GTjRsMjuxXf96ouj+722LreZ6HbYnlpmmsv6/HgsynT1UmuuLDLXKvFI89PUvXqvPgSw8XbByC7PH1YsH465ux8zD1P+wxihZSQasN5myK+4yURna5i85Tm2osgimostWostUJWuj7tnqLVlbS70O6ltLspnV5Ku6dZ6cFSX3CyJWgNhtx88Tz/748u8+KLA+YWJ2l1M+b26fY9OgOPbk/Q7ktW2inLrYirX/TieJh6P/cD3/umA4169Qth4OtvNba+5UHmcNAjigY/MH/ykd9dntszffJ0m2ZNYZAIIRECpAQpNUpqlDIoCZ7UKOHx6P4N/MIf+7z5pUt8z6uW2Lk54sxikzCoUg0DaqFPverRqUoafZ+JumcvmH7KhqGmPzR0BiFL8xVOHDdEiebkmYQwNIAgUAZPCnp9hcAn6Xm86DzBBZsN27f0GKYd7nhUsefAFK+5LuTay5b5yB2GQNQ4b0uPZx5UbJlUrGv2qKgqUewz14F6xWPrBsFTeyKuvbjKLdcs8Ke39wn8Bq++0eCHPb72SMSXHq7z/OEq52+ucd6mlNmpiJ3rYq48L0UpjadsSF0LQ2YnQ6LYp9MLeHa/T3fg0esrugNJt48liJ797p1+SrdvaPcNK32Y7ynOLGvqzRY/9fp5/vHNQ67eWeP0fNOCuxfQGfh0ex7dgaLbl3T7gk7f0B8ahjF87Z5H/Epj5nc3bdq09PrbbvzXnU7vTxuN2v+5AE/iLsCPzB277z0nDtw5Pex1CIMqtYok0QatBeAhhECIFCmwIBcGJQ2+NIRK8syBdTy5v8b+U3O8+aVdXnr5gMlGk6VWjXq7QrMf0O3ZJbU7kPQHHr2hx2BoGESaKDbEsSFJ7T1KAowGqQS+J6gEgsmGYKoBG9dptm7osW6qxZcfh3uf9JF6gtdc5/OiSzvc/3xMNGhy84sErX6fucU6N12sWTfZo+qFDBLFfDtGacGLLvaoNYY8sbfCK66d4CVXd3hirwIzwXWXB/zwdy3x1aci7nq0zu5jFbbPKjZOV5lq1JhoQDUE37MXvDaw+7AgTQVxIogSGMbY7zhM6Q81g6GmN9D0hppuH9pDmO9K5jow1H1uu2aJN760xfe+WpMkTc4s1Gn3Krkk6fY9ugNJb2DB3esbuoOU3iBhGBkGkeHU4TN86M/vmO4P9X96+5te4bXavT+eaH7rQP4tA7gxZ4DhD3fn7npP++xd66UZUKlUSYwmSTRpCsZIQCCEcuAGpUTOXL4y+EpT9QQLvSp/+fWtfO3JNi+/coV337bClTu7zEzWWFyp0emH9Pq+A7ay90gwjCVxIkgSu9Tb2i0bVHoeVAKoVTXTjZgt63skdNl/Mubj91Q4dLzOZFjl+ss9brqqzSP7Wtz5UJMbL6qwfVOPP/u6QImQZiNmpTtEG1ACZps92p0AnVR548vn+Msv1bjgbIU33Ngjihe5Z9cMcVrhhsvX84br21y0rcXXnujxzPEaTx8O2DotmW4KaqEg8O1FKAUIYdAGtDbEibtYY8MwthfyIIJ+BJ2BYHkoWOqA8AZcc8kK7/6OFV5+ecpMs8JKu85Kp0q3H9DtZytBBm5BbyjoDQx9Jx/7A00/MgxjgZE+J852+IOPfnX92Z55z/e98Waz/+jin1y0Y+b/DID/2ns/wvOtaX7wlx/6wVdcfuS9b3rR3evq4ZC4Mok2CWlqWSjVHlYkSIQQSKmQSqBkiicFntT4nibwDIFvqPqC5YFicWWKT3yjzsPPdrn56hXe/eoVrrmgxUxaJUlCeoMK3b5Pf+gRxYo4kSSpJNUCbQQCgxSGMNDUKglhEBH4Q04uDrn9McmBEwGHT0yhdMgFmwIu26m47tI2Kpxn18EGWyZrXHE+bJxdZqnd5MotdjX68qMhw55ksp7w2hsGfOGemGNnGlxyoc/plQHPHfLZtmGKq3fOc/8zHR58TjCMAi7dOc2l20Iu3drh4OklDpyER/fU2H+oTs0ThJ6kHhoqvpVyAjDGXqxJClECUSroDgXtgaAdQ6QTtBnw4ovavPs72rz8ypRN0wGDYZPFVpVOL6TXDyywB4reQNEfCHoDSX9o+0b7w5T+ILWPbiUcxNCPBIPU4+DRFn/+iS+sv/H8Z95720ubiTF/+JG9T9a49Lp/+g8X4F/7yqe57bX38dt/cN33fvG+E7//vsefnrx0eo4XnV9jGEUkWlnXQguMASE8hAAhJUoKlFR4SuB5KZ4n8H1B4GkC31DxDbUgZbIi6Ax9lttTfPreJl9/esCGqR7vuLXFpdsGDPpdrthp2LZRMYx90lSRaonJwC01vpdy9Kzh8BnBSl/zuftrnFyYwkQ+UxXF5hmPHRs9zt8CV1zQRssFPvCFOktLE9x4qccVF7T42tMCkfisn5LUawm9OEAaCUaivIDWQHB2SXC5qXHrdR0eeKLK5nUBN14xzT/9rgU+/KUOj+6t0x34LK402Lm5yiWbetxwcYfvfkWHU0tLfO7+kMVeyNHTPidPBvhKIKVEINDGkGqItSFNNFMzMVdd3mM4jLl025C33Tpk/YRiuhESxxVOz1fo9QN6Q7vK9QfK3iPL2v2hYDDEAnlogT1wMUxvqOkNLbj7sWAlFvQMhOEx6slz604dePHvn2lfFV9786N//tGPfpzv//53/sMD+Kn9f8KmC5fEMw9f+/aHnzr1wbn5w7VemhAlBt+LCIOIOHEANwKnFBDCQ0pQUuIpge9ljxaIgScIfE3FN1RjQy0yTFRSpqqCXiTpRHUOn6jzW38+DTpBJAnXXdVj58aIJAFtNMbYJI4UAqkEnh+w91jA7gMV6hWPRiBZVxPMzkjWT3tsnlXs2JRyyY4VUrHIH3ymydFjk9x4sc+l56X0kw4P7QqZrPrMTBgmGxG1qpVCWktaA8VS17DYSml1q7zsihUe291jzzHFZLPCDZdP8qNvXOQPPwtPHKjT7RtWOh5nl5psXFdj/dSAHTMDfvbtPZq1Fs8chr3HJb5vUMoghAaM/X8DSQLnbUy5+cqENPaJkxBjagwinzMLAf2hXdEGkcrlWz8SDIaCQWRZexhZLT+MtJM7msHQ0I+0ZfVI0IsFnVjQiQEdUw0T6rWYI8cOTz64Z90Hb3/wpuSTZ6/85M//p0+Y3/p/3vEPB+DGvBdoqf7S8C0z9cWPvPqavZVq2OPrTxq2bokJQgiGEZVQYRCAQIDT3QalPDxp8F1ttKcEga8IfMkw0oRRyjA2VGPNMNZEkaGZwDDWDBOIEsEglgzTkDitsOdAnaf3QGoMFtpWG/sSAmVrPhohXLEJmlWYqEumGoqZSY/107B945BNsyvEZok/+MwEBw9NcO35ivO3Si7Yusw3nks4uzjBdTslU01NJegTyhCjBEkqEcaQpBHL3QpnF32uvbTKiy7ucP8TFTZMCWqVBtderPmptyzy+5/VPHeywUpXs9JRzC97rJusM9WsMtWcoFmLma3H7Lg2IvQTfC9BqRQpLEUY7EUVx4q5eY84UcSJIooVw9g9RpJhLBlGkkEkGUbCBqiRYBgZhpE9rsOhPc4W5DbB1HeypBcJm4yLJYPURrhnTkjuecZw16MRX3vsYO26q8VHLpqJ9JPd6c+86V9+LP3cH7z72x/gP/Hrf8qb/82kuuGCY297xcWH//SC2Wcrk5OCzbOa0A85MS+4ZFNENRw41wQwNmAS0iClZSVPKjxP4XuSwBf2JPiCYaCIYgv0ODZESWpdkaR0TyFJDWmqSTVWb2tycAsXwHoSfB9CT1AJBbVQUq8pJmqSqQnB+umEHRt7NOorfOaBiHt2TbOy0OSq7Yodm3wu2jYgFSt8+dEadd9jdkrRqA3YdRCeP+Rx5TZDb6i4+qKYqy4wnDmdMr8c0B/UeN31He57ps/+k4p6VRIGTa48X/Pvf3CRu5/r84W717HYNuxYn7Lc8phsKibqPo2aT71qqISaMNCEXoqnrNSSMiMYcumXaEmSCpJEECe2hieOJcPYOi9RLIhiQxTBME6JctLQFtyxsaCPsSCPHXNHgqVY0o41JhoiGLB1Q8QwFswtJgzTLs8892TlXW/c8tFfecv6f3LVdbVPRb/yn9Nw/b/59gb4RBhKb6r9rs/dvfxHv/eR+cqbbp5kZiLlc/eF7D+h2Hs44PCrurzjtgHNugW0EAalrO/tyRTf821A6WsGviKIJZEvGQaCKBb25MSKOIEoltZBSArbL0mtK6O1ITXOKXEayAawoKTA8wSBJwgDSSWU1KuCZs0w2dBsmB4yO9UhMSt88j7Jh780w/pKhau2C7Zv8jlvs2bHpmU+85BhaanCpRsVU01o1GLOHpHMLYcEO2EYC2YnJJOTsP+wYbmtObNQ4aLzKrzqug6331thpgFhEKDkJFdeIPixN8zhyzk+f/8Uz5+ssKEds34yYaKuaFQVtaqkGnqEAYQ+eJ6xIBd2FcxBjr2wUw1pKkhSHNAhTg1RAnGcWlKINZF7HMaaOMaCO3HgjgWD2GrudixoxYJunKAHAybCNu98wzJve1WX17445vU3xHz+/h7TE/AdLz5SmZ580QfnDl7pGSb+Assz354Af9+ffJYk0T94x32HfmffgTPNXrKJD385xRZ3pOCl3PFwhQefrXJqaZl/8dYek42Eip/S6qUW4MrHjzW+5xF4isD3GMaSyDG3ZRxhmcixUpJAnEKaWidBaxtwaW2yHk4HbgtwpYTT9RYglRBqFU2jmjDZSJid7LNuaoUH9kR89M4qew9Pct6EzwUbYevGgK0b4JLtbXpJm0d2N6kqn9kpxWQDJhtDpiYSgsBDCHtx9YcBS+2YlZ6h1U2YWw7YvrHBSy6d485He+w92aQWxvgqQIgJLtii+P5XL/DiS+b46J0NHnl2ksWux/pmwmQtoVaRVCuK0BeEvsT3BZ6SKIWzDy3KDbaHVWtyoCepdqubJYU40SSpBXcSQ5SY4h7bUt9hYoHdiwWdRNJODMN+jIl7zNQ7/ORbl/nZ7+3QqCmiQYWdmxQ/83ZIUkWvP8XywulmIqf/wKtfFxze/Vcf3nnZd3/7AXxhsYVS6kf+6wc//Z4Tx07MrK8JuomkFyoibYi1IdEG4yWsRAG/8/GA3Qdb/KNXdLn1mi4bZiLanSr9YUgQ+QR+QOh7btlUxLFimEjiWBIldtmNE+dppzjrD8fcEm0owG39R8fc4CmbMAl8QyXQVCsJjUrCVHPIpnVtzrZ6vO9zPl9+bJql5ToXzgq2rxdsWR+wdb1g5+YBXrDCX97jceh4nYs3SKYakol6ipRDTs4bQk8iBRgjiGKPHevbPEpKu6dYbhvOLlW5eGuF7761xae+FnDkbIjvxQjho02dOJFct3OZHd/T5stP9PizL0/z+JE6W6YE6+op9UpKJRCEviDwJb4n8BQ2cJYir8kw2ItMG6zTklrA5yBPraSzqyBEGbMnogB3Ap1E0o2hH6WkvSFbZ1vccu0Kb7qlxxuuTwlUhdZKSKI961SliiT1iBOP4dCjPzw9M+l133vBFW9T8XDlj/1w8tsH4PMLKwS+908/9fl73vPAo8+tD5RGBBJfaWqpYJjCUAuGWjJMJZHyaMUhf/mNCnc/0+XaSzt8z6t7fOeNbdZNDOkNKvSjmNj3iRKPYWwPVBzbgClOJUkiiVNBkkjno4tCa2tR1Igby9xSYNP+LlkU+JowSKmGCY3qkHWTXfpxn6/tMnz8GxM88uwkU4HPlVsMm6YlG2YCNs9Ktm6IOH/LMs8c6fO5+2aZUB6zE4JmXdCsxbR6KV96qEIjMAhhgdUferzx5iFffNjWxLS6mrllj63rG7z5pV0e2dNh9/6AepigpLAg1zUGkdX63/+qFhdvmuMv727z4POTHFuusrEpmKgYaoGm4mkCHzwlUNKVOgj7vbPyI+2kmtbFCpc4oFuCgDgVxKnLiqaCfiLoJYJuCsNIk0QR9UqXN792me95dZtrL0nZOK0YDOp0Oj5x6pPk4LbnKkkUUWIL2Zbnnl1/5tiG92zc8UodDVY+FFS++SD/pgJ8aXGFVreL54kf+MKX7/3tT/31V2eWFluEvrSZR221XiUVVvNpwVDDIJX0VcDQ9znRDjn1cI2Hd/X41JUd3nZbj9fevML0REAUBQxjnygOLMATLz9oSeoSNmkBcG0cc+uipkwI44JKmw31PE3gp4RBTDWMaFT7pPT56hOSP//6JM8enkDEIedNGTZNGtZNKmanAzauk2yejdm+sc3x+Q7//Qt1kmGVrVsFkw2PZh2atRjhR7T7dSYbBiGsvx8nkulQkeiEThzQ6aUstxUn56tcfn6DH/9HK7z3L0KOztfxVOwuDI8kqTCIJBtnQq67sM1V53d57uhJPv6NKnc+PsmpVpV6qGgEUPcNgWfwFXjSpvOFGK2u04DR9qJLtSA1kKTC+uepIEodsFPBIIV+YkiSGB1HzFT6vO62Fd5xW5uXX5kwWfWI0xorrYAo9klSjyTxSNLs3ChHQvYx1YJBtMKhPV9bHyXeb2/cflOyvHjif4SVJtXaN69D6JsK8E6vT7Nef9M99z36h5//4l3NqN+iWZPWi3Xs4CurjxMNYQqVFKoSagp6qWCgQoaJz9ygwucfqXPPcz1uuKvDv3xrl8u2d1g/qWjWPaIoIEp8kgzkqXLglqRaoo39u8aIPP1umdsWbHlK43kJYZDgq4h2P2a+HfN7n6lweG6KJ3ZPYnTATFWwfp1h3YRgpqmYmfTZMCPZOJOwZbbHzOQyX35S8/jzk1y1VTDVkDRqkmZNU69GCH9IGHp4yv59YyBNJf2hR38Qk2hBp6/pdA1LbZ8zi01uuqTLSy5f4S/vqlBdUngytoA0HkkaEMWS/tBn3WSFF1/Q5cUXdnn0llMcnZd89M5J5lZqnFgMCZSk7guCTIZJG3jmRJ5JFSyTJ0YQa0i0XWUHCUTaQJpAEiPVkM1Tfa46r8u//O4O11+W0qx6JEmdVjcgigOSRBE7YFswF+RjgW0fE+fqdHo9lp78xkyUBH+444LrluNh/3PfTEx+0wC+e88+tm3dqP7og39+4bPP7W32Oi2aNeVsuexulz8/NQ7wFuiBY/VqahhqQd+T9P0KwzRgMapy5+NNHnh+QD0c8k9e32LbTMKOzX1uuqKDJxSNmgfCAVwrjLa10saUmBtrOyphvVxDAjLhucOSx/Z43P5Ig+eONYiSGg1PMVs1TNcNUzVjffCmx/SEx8ykYON0wubZPptml7nn2SEfuH09myY9ZpvQrCuadUGjllANhzywTzGIPPy6BZUxgiiRVDzFNRf3eXjXpC186qestH0WVkLOLkzx4284y4mFRR5+ahZfAiJGA0niEcU+w0jS7XtMNSpMNuu85OIet1zV43teOc+e45ovPlLhkT1V9h2qkwiP4VDRixVKSFe8Vg48XU7AaBsXaY0vUiaCiAoxL7m2y85NA7aui3n3a4dUA0mj6hFFVdrdgDj2nb/uGNsRTpJK4sSSTg5yV4qR6KIkI+q02b3rvubSwukLb7rlnerEsQPp1u0X/v0B+PO7n2fjhpngkUcf/aHAS3+n312iWfft0pfajphEG7sMOk86KQE+SQWJNgSpZfWqNkSpYJAKBp7PIPXp6SqdTspv/+UUJonZMDvg8u0DZiYS3vaqPtvXR8SxS/MjocTcOP0ppUZIwafvrvLMwTrC8zh6qsbJszUqVcVEKJisG5oVTbMCjapgoqZoNhRTDY+ZSVg3mbBhZsCW9W1Ss8Kn72vS79a5aKuhWVM0apJGVdOoJPh+xJcfrjDsSfz1IB2Y4kRSryped0Ofe5/UdIeSbj+l3fNY6XicWaxx2c4Gb3t5myeeq3F0qYGSGoidXvaJU8UwtomZ7sCj1Q1oVGvUq0Mu2zrgxksGHJ9rceT0Cp6f8vQhj099o4ZQyoJbyNGTaDSgMcaQRCk7NiS841V91jVTLtlh2DADaeIzjBokqc9y2xsBdJyDWo2BWow8Hwe49eQV3VPLhHX9O7ueeby3YdPOD+/btzu6+OL/9fEU3xSAnz55guXFhYuPnzjxvmeeelzWqiqPyLPo3F6t7rW2TkeaRe8Z0EusnqSGmhbEKURaEKWSoZZE2ifWMN9t8o1nNIaUv34kRojUniSjyZBtcBaZsBWJQkikUiSxh9QevidphLBz1lD3NbVQUwuhFgrqVUmjqmjWPCYakqkmzEwkzE4N2TzbIWWZ3/urCvfvWs8FMzBVc+xdkzSqCbVqRL3Wp1qtESqJkk6DY+VAHPsM+oL+MKUzVHQHmk5f25a5esCJsxO87PIhP/X2s/zupzyOrYQIoTEmRqeGOLHN1oOhT7evaPQ96pWAWrVCLaxRCWMa1YjrLooI/JjrL0p49209PJW4JJBGCDMqyp2k09rW4oe+AgIGQ4/F5cINSTNNnaqSxnagdsVriS4C/kRLkkS4814CuSM3aw4YHn7kcXnVUL2v1e7fNxwOnv1mYPN/GeD3fO2vmZz0qocPH3jL4QMHRKPm2wg80cQue5ikxso4bfC0yf3pNGf1jOUdq2eJCPc80ca9hsRArAWxliRGkmqPWIekzvYq3/IspQBPCJupVFCpGiqeoaJSQh9CDyqBoRoKqoGkVpXUKp4FeF0w2dBMNxNmJoesn+6yef0iH7hd82d3bmDbpGJdQ9OsKxo1Rb0GtWpKoxpzelFz8HRIJbAlB5BV+gkGkcfOjZqN6wa0BwH9gXEsLlnpeDSqFRq1Sd592xyHTp/hg5/bgic9DJpUpyTaWMstUvQjRX8o6VUktYFHNfSphimtjo0xAj/F91J8P8WTtlFCSpvOF+5uS1dsmYQFuaClXZWldnGNi29SXTB0qkvgztk6A7N0K/Y4uG0QmyWabNWjYDCARx57Suzc2XnLtu07Dv7Fxz/d/553vvVbC/AN6wg6ndO/0O+e+QVPDmS9ZnciULHAS437AoZUmRJbG/wctMZ51YVOLyQNpIY8SZOl2VPt6p4NaCPyQKmsuQGXybOBlSc1nsTVkYOvBL5nrG/sCSqhpBJIqqGiWlE0qpJGzTBRT5lsJEw3h6yb6rF9wyKP7Bvyl3dvZqoSsqGhadaEBXdVUq9o6pWERm3II3vh6T01Lpw1TvcWafP+UHH9JYaLtvd59NlJekNDf5DS7XsO5D61SpVqZZJ3vmKJp/fN8fDujWAUWqf2OCaGJDZ5PUl/6FEbGKoVRSXQhIFPGKSEnsbzUnxP4yntssQ2ayyFAWEolbeVgnPhjq9wqX5Z2K9p9lwWUkMLdAbmTGOn2WqdAZwc5JYIyUsqotjQb3elOXryV2JTCaq1xm8A0bcM4INBT8ZR/9ceve9j/7rXPhVUwqAAlrSZRSUFKjWkWqNSg04LoKfa4DvpkoFb6+J1Bvo882YM2mXismSFcQVT2a0M8SxVnSV0lHQZSwW+ZxsFApf9CwNFJVRUQ0GtKmhUDc1aykQ9YbIxZGaiz+bZZR7e2+fX/nQDx05Mcv46zWQNmlVFvaqoV6BeSalWYgJ/QGtgUFLhK4OUxSfL2C1OAprVmF7iyk2Hht4gpdOTtKqKWiekEjY4b2PMv/+hFr/6EclDuzdgUGij3eqYECWaKFYMIkU/lFSHikogCQNDGChCT+P71u/3lCuDUK7Ox8kUIcyqBl3t4hhtBMa5HrbRWeS1Lfa8WaZO83oXilxEigP7KLBzzz2xw5SiRBPHmjgxHDx0MhCq/nP/5qde7/d6vX9Xq9X+zun8vzPAh4M2xsS/cWjvvT+zMHe8EvgSgwYjXQ+lTTIkqliaPKfHPa2tLNEWrMXzjJ1F/m+6lIwoDjiOZXK5XeKfLAVfyJOs1kQpa5d5rhXN9yRhIAl8RSW0IxmqoaFe0TRqKc1azEQjYrrZZ/PsCg/v6fGrH17H3mPT7Ji2DkujKqnXpGXvqqFWSalVYuI04mN3NZBK4UuDEoVNqI1wutXn+1+zzFcej+hEIT0H8G5f0ekqWqFHJQgJ/SaXbEv4Dz+8yC9/WPDgsxvQRpJqm1aPE1toNow0w4otdw1DQcUXhIHNbAaeyTO2ntJI19sqhbGNEhnAi5SnA7lzWnQBdnteCoBrx9a5n55mK23pdR5zFcmkTL4mic4ZPIoNIDl48Ejl81+6+1/94ze+Wiwtt39xeqr5/y/AW0v7wJiXLJ95uOrJAcb3bBoYbQuYhAVVnJWdJIJUiTzItCnigslzEGtj9bTOmNrkB9QYMwruNT5XBvCsBiPL5CklbCeQJ/K6ct+Xtn4jEFRCO/OkFqbUqxbczXrEZLPP7GSLR/b0+LUPTfPc0XVsnRLM1EvSpOJRr9j6lWoloRpG+P6Qk4tT+EqgpHa2XBFk2oBMsWnKJk/accV2xgw1/UFKZyCp9hSVwCfwK/jeBJduTfgP/3Sef/sn8PDz653+tbFOnKSOyTXDUFOJJINA5RLM98H3rESzdSoGT+JkCrZyUxTHMLvZDLAYIZRslEbxWFRo5oAv2cPalUwkOjMcirKANDV5vJZXf2oY9CO+9NVHq+ftPO8lUsq/CY7fXIAvHPsE9cpi7fmnvxGQLlEJFNZisodHiozFQSWQSEGi7Jf08jS6kyUO6FoX/YTaFIAfBbV5QXBDkZLOqgTtSiJc2trWkxfyBCo+hIGmWjFUQ6ufa9WYZi1ist5n3VSLx/cP+OU/nmLX0Vk2Typm65qJqqBRkdQqilpVUK3Yi8Om+iMe3i3oDgIqCneRWQ2eNSGkWhAnHvWK4qYrOjzyXJNeXLSD9fqKTqgIA0XgB04/T3LZNs1v/ugcP/9+eHD3emItibV2zdJFD+YwkISBtuztalN8d3HbO06mFDJOuizvWiB3/RNOrpBfqKuBXryfatC5mWDylbr8mFV9xqku6XEbhJ462+K/fejzwRu/+4213/7jO3o/+yOv/98P8AOHjrMitk4un/gf/12YziuESFBKUozAkAiRsXimwS2Lp0rkS1W2dGlP5GydauNSxybX18YUTJ4lJfJuFUonQ9iCIiHJ/3YGbgtwy+K+Z5ks8LGdQIErsApTqk5eNKpDJhp9phptnjow5Jf/eIqnj6xn46THbE0zUYV6RVCvKmpVRS1n75RKmNCoDbjn6YCVVoWpqSJNnoElW9LjVLF+RnHbi7rc85i2XTSRLoFcUvElFd/D9wI8r4qUmsu2Gd7zo3P8/PsND+5dT6w9YlcBaMteLZOHscyrCwNP4nmuCEsKlJcdG/LPl12EmVQRWVUaRUKoAHqR5i+Kt4p4qSAts6Ycze1jFyxnNfsZyLW29egLreErTh099Ce/8JNv+4kffOOxlQ2b/ud2hfufBngyOImK5n7+yOGz7xJxm8D38JTOmVUIkEkGbomX2tS8lwF7RJ9lB6Ok69xBythar8Xcxf/kGblce8usgq7Q3VnFoKew9RmewfdtY3El0FSClGoloVaJqVeGNGoDpidaPLFvyC+8fx1PHdrA+kmf9bWUiZpx4HbsXZFUQ8v+lTChFkYkekgnChFK4mcMnmvwTKu6ArHYpx4MbLlAVGEqA/kgpRdYBg8Die95+F62Aa3hyvMM7/2Js/w/f6R5cM8GYu0xTAVRqh2LCyqxJvQNgetd9byi5U+5Fc0eH9eVnz2WCrPKO5iUj/9oLFSSk/nrokS5LD3TtMzghWyJc1elyIlIIeksL7Bw8vC7Hn3syYPDYfxv/7cyeK99lGpj6469T/zRVVV1lNRIhLBBC5SDO9v8qhJNIu3BtHaRsSw+4pCIYqnLwV1E8OP1JIXVbQrWLp2UfLl1HTr5oCDPjZlwRUhZ9WDFT51ujqlWhkw1e0zUOzy8O+EXP7COJw9tYHbCY7aaMlExNBy4qxVrJ2bgroYplSChWY/YfcRw9xN1AmkrKKUsLkQolu84VSTa49brYi48v8vBY1Vma65TxvVA9gaOhT2F5/m2hc81hVyxA37zxxb4t+/X3PfcLIO4aqszE0PN1XCHPhbkXrZ6aSdRJFKl+QqnpCgBXJRAXlomywH9CPGUZKRj7ayzX+dmQdkpG8twl1yVOLU9pImTQUIqHnv2JMZ75Kr/9Ks/tmPPgRNHL71w6zcf4CY6Cf7keStn7v8vQs+9qeovkXoBxlhzv5w0kFLmtpzKvFCng7PkThGBmxJzF6DODli2JI7lcMiWzlXgFgapMlvQgsFTjrU9Q+BpfF8T+powSKgECZUwolYZMj3RY7nT495n4Tf/fCPPHFjHOgfuyaqhURXUKyL3yq3zoi17Bxbg1XBIlKYM+hUqyl5kUpSWfrJsoUuKJJ7V8t6QYWTox6IEcE0QpAS+h+9LPKVQ0s8BjoCrdwp+8yeW+e2/SHhwzwynWk0GdclkamgkdtpA6O5+LtGMswspAbxg8Pzzug+91nw/49gmP1euztzoMotTxFVlqzdzVDJwp+VyXdes4uxGbQTL831mT6286dO3P5S+9IZr/tWu3WeOXHXZxm8uwPcd2geyfqPoPfEWET1NtVIl1bHNVklJIqUtZnL3RFrvV0qJdu5FmpZspZIsMW75MmYU4OcGNyVwZ+MeMvY2Tp64Xk43IMjzsjkqWXmsBXcYOHBPd5lf7vOej9X43EOzLHSnmJ2QzFYcuCtWd9dcYFkNJbXQOAa32rsSRkDE158KWI4DZkJG6rERJSfC2OMRxR7N0ONV1/Z4eG9EJw6ZiLWbFKUJhrZWPfAswD1lUNJHSJugwcCl2yS/+y/bfPHhPr/xoQ2cWJiiP+kxGQgaiaaWQBjb0cuBsgON/CzQlCIPgrPHcqBevjBH5ErO4qNNFOPSchzkqSkHniXr0AE8TV1Fo/PPs6z1nQ8f5IIL1r3lkgu8jy23Bke+qQyexG2U17jo4P4v/XR75R62Tg/pDSVx4qFcsY2UEimVA7ZLIkg7vNLKEkmqnJ2UihE/tbCeskCyiNQZB/hIEGTLX0XJBZCu9tnaYBbYntLFmAk/JfATKkFMGMQ0qn08r8c9T6f8yZea3H7/eiLdZH1TsK5iZYm1ADOfXLm7cMxdZu8YzxvywPOT9CKPTTXjMobjDJ5d5JI4UVR8xUsu65NoC/B+LBjkDb525JrvZRanckC02UerHATrJgXvemWXRniKD32pz73Pz3AmrtKrSJqJoe4ZC3LPxSHKuLjEOJA7YhDCxTHZIKGCxdcCuH0oxUhloJelpxljcFOqMnVgTkrAjlJrMQ+0oJcKWrHiqw8/xqtuPu+n3/DKVz+50u7un2zW/9cB/vCuExzc++cYObt52H3ylqnqMWrVBgaBkj5x4qOEtpOnHKgTqVBS58yeGoFOjX0sMbhxr7PAy4yxOGT1ESP4tqnlXJYYB3BTjJmQxo130zlz+8rWYoR+TBDEVPyIWm1AEPT48zs9fut/rOfg/DR+WGFjQzAdpjRDQz2Euuuwr4Y221lxCSFbv5K6lcDKk4V2SjcKCJQikCYPMLOvkVltttLSJnyixKfqD9g42Wel16AfCzduzcYKvp86m085u1O55uxy4GorH9/08i7XXz7Pb350wJ99eZalpE4v9Kn7kqZna3BCDwJF3gzhZUkft/LJXKoUCSBn46+SK+VEWyYps+RQ4bSYwmExJW+81GCRMXicWtaOUkE/hW4qGKYak0bsP7zA/Y8/doswvc2n5pb36+FBZHjB/xrAtU5RM+867+sPPfOB977/BG+6vsrPv3tAvepqrIWxE6hcdJ+4g2/BbWVCqgWp1LbDJk/5FifaZC1l2aPBlruOfRZBllZ27C1L4HZpZ3uR6RJzpw7kCYFnJUkYDAn9PkfOJnzwi3U+e98Mh85O0az5TFdgKkxphMal3jNwSwdumSeFKk57h4G9cJr1IZ95wGP/0SoVJWzGMHNQKFBerFhWh8eJx6U74Luu7/And8zQrXk0Y8MgNoSRixuUxvOkm81ICeR+CW12Vdi+TvKL39fjqp0neP/t0xw6M8FSUqXne9SVoOaAHkhjLxznMqkSSciRuIYRTb7WrTABzKo4So/fy4kgU7B2om0h3dB1EHVSQZymmGjAdK3Nz37PEu++7W42nveiD4TN73x9Gi/9jVLlBQFuTBeo8ejTD2w9cHDXBXv2wtFjs+zYNMdPvqVH6gaLCFGMe5CpIRVWlyvpqtC0IFUSbXRpNFshU0CUNLc4p+aG7ECbnF0yWZIB27omGXun+F5iO3e8hDAcEnhDOmnE+z4Z8KEvbuTk4iRaVZmeUEwHholAU3PMXcvT99LVqThp4rzzHNyBzV4O44j9J0K6UchU6FyczFXKXInse5pSTUrs0ax77NwaocIBnahBPxBU3QySwMkr30kUL3M9hDpH8KqYnejx42/q8ZZbz/ChL7b54KdnWOjX6XsVKp6i5gmqyhAmxrK5tFLFy5hcFGn8HOCYUWdlHC8jQM9GVTAmRZ0ON1n1aMbggtjYFrleKuhrSNIU4gHEPb73TUv8q7f1QafsP/jMBaLW3Hrl5S87stweMtUM/24AP3p8nslmczZJ/E9++YHHfWpV+lHKZ+4Z8LIXLXDleW5HMUwOvDSTJqkaAfgoexcAz2RJGdyrZUnmeZsSwE0uUQpwa5Ry4ya8FE+lBH5MJYgI/IjWIOKBZyR/fmeTT983wyBtEAQBM4FgMtDUA0MtNNSCAtyVUBKGktBJE5sYcs6EA3jg28zn4dOGex+vEcU+Yd2sCjDzVdGUA21JFCt83+O26zv85Ve77D1Rp1+x816GviFIsKMzIo1Sdk6jlRGyGO5DIfVSLUm0pBZ6bJjs8/+8s8dl24f82Z0NHts9wXy/zkAF+L5HxRNUJYTS2aiZvSqNzSeMs7g7D7lcKZGRKX2OEZCvuouCvR3II2N7QAfaglvrFJIhIh1w3UVt3nZLj8Dz6farLJ29z7/gqls+2e0uvcjErfm/M4Nv2bBO3v/Y/hvf/xcPTBw4HFKrSHqywlcfbvLhHQN+/Sc61IMoT/Bkk1ntgddorUoAL4E6bykra+4sY7aaIjLmsG1nGdB1Xu5ph+MbPJVagKs0lyOeF9Pqxtz/rOBP72hy5xMTLLUayGqFRlUx6RuagabmG2qBoRrgWNsydzWUVAJFJRBUAlyFnnbg1oS+1d/KG7LvBJxsVWxixenb0cRJAQLLbFlpqSSKPDY0BRdt67PrWEIv9u2YhhiCCDcqOnUSJUvU2GRI+Zanzp0NGae2Pvwdt/V57Q3LfO3JDh/5cpPHdjdZ7NRoyYBu4BEoQSAFocT2cEqDJ0xerJZZsDaw/5vsw4LNyxdersENpMY1Obs+0KFrQI+NbZkjjSAeMhUM+KE3tXj1DQnLy026/QrbZz2Spa9NdFV4Y9C4/A5eYHjQCwJ836FToRLpH/UWjtV3TmvO9CRR6pMon73HA+ZWDBMbIzyVedIamXrWB9cKrTVpCdDaTXHNgJ51kIxc9TmoSwDPA52y154BW7vHFCVTgszNkDHznYR7Hvf40v0NPnfvBHPtOqJSwW/4ND2Y8G0nT9XHyQ6oBsLdpSs5dbo7EIQZe2cA9xKCIKESRBgT8/UnQo6errJuWuBLnZcNy3EwuLgjA3iaKvpDnx0bBLdd2+OzD0V0Y59+LKj4hiCxLD6MTWmVUrlfjZAjMsXeZd6oYLOmHtVwyDte2ec7rl/kr+/r8MX7a9zzTIO5Vo2+COgHHp6v8ITAlwJfSnxhnNQySISTXEXgeU6QU0iUvArRvU5d00pqIDZWmsQatNZgUtAJ6CHoiPXTQy7dlpCkHlES0BtUWWrVaPeX6pdMiD+id/IyoP93Avju3XvodHv4os+6hmBlaK1XQvjakxWeP+BzyeYhnhfbKzrVSKGRWmF06sY2yBzYxeRY4XomRQ7wVUdHlByTEril0K55WCMcwD0vJfBiKpWY/jBl70k4ckrx8bsmuOOxJnPLdfAreE2fmpI0fEPD01R9Q9WHim/BXfHtTEJbZipLd+H+3TiQ6xzkgW/b0w6e0uw6HILvu2W+cFDEWFowY7fMSbFuih3nfOXOIZdv7bLnZI1+RVBLBGFsGCqctacde2duSmZBFlol99mdFam1ctMHfAaRT7U65AdfN+SNN63wlce7fOKrNY6cqrDnZI1oJSQJPQaeh1Q2jlK4v4fV5iqTh2QB9OqgKbd7s1UF4ZjbSROcm+LqjawvnDhwJ2BiMAmXXzjkVddGxMMKAkGc+Cy1a5xZSAgOHSAIX3j3iHMCfGH+lIiGg5/+wuc+se6i7RWOzyXsX45JhkPox7Z+N5EgNUrFgEEKD601ahW4R5nbsnUWTI52v+esjXF2YFmeWIBLYRk7DO0k1SRNObMId33D48CJKvc8UuXkcpWDp+oQhqiaR8VT1D1D3dPWRfANoWcHx4c+DsTZXbq7cgDHaW4Hbj8l9C172wsr4vA87D5Sw5ej9uCodh3zivMGgmxuiM/lO/pctL7Hs4cSeolPIxYMPQjcTEBVAriUAiHlCJPDqO+cy6BSH2Wc+gz9gGY14vtfM+TlV7U5udzm648GHDoe8pUnapxarJD2fbT0iAMFUrlg2VZmSbIkW/G4JshLF7MFe1Yo52oyTOruuniegzy1yamGxkQRhi5nF2scO+Nx/Izi2MLede9617t++tjxk+/dvm3LmtbEOQF+cM/9GJ2+qxHM1S8/33DtpRGve8Vp7n6qz57DklOLUKsaRCBQaKSIbStVqjBSubkkAm1UadksgzsPHVfpkmwOVcHa2bRUuzz7YUqcGg4dF+w6pLjrkRrPHg54/nCV9jBkGIXgB6imT6gENQU1T1Mt+cChl9VpZGWzti48dLIkCBRBIN0FYArt7ac2s+hbnV8JYoyOOLskGZoQz5ME0uBliZIxDQ4FyFNT9Dumzg8XeMxOR0g1oBv79DxhnY64KBjzlB7JQMrMpAbIhh1RSMM0KwtwvZN+qvLxE71hwMapiO0bYq47f0g/6vNPDrd49kjAXQ9X2HW4wqFjIXHiYUJFKhU4l6z4YnL8BObj8QpLrJQJysCNLoCNM8eN61/UKcSa3kCw56DPqQXJc4ckX34kgEFKVaUgztRnv/7Quzyl3vs/xeC9ub+k122rA/uPiI0zXZRKmZkYsGV2wGtuWKHvpXziy1U++qUK/Qhec8MQtCEINNVamjO20II0tkyOkyar2LvUQpJBXroMJM56jCO7V6YQcOSE5C/uDOnFiqeer3DgeMhCN2CYBuAFoHxUUxFIQVVBTRkqCjvOTLnCI2VZO/CFTXqUwe1LAidLwgDCAOea2JS5nXKbuIxoTLUSMbeccteDDVqdkKkJu71KVjKQ4WAVu2VJkFyLS4ZDxboZxWtvGvCVx/oca9Xp+9LKFA/8xODHmWftPHaZWruQ8qwTmf8NbbzS37BAD1JF6ikSXxGnHnHsWyvVj6kHMS+/MuEllw158y0D9h2XPL3bpx8p/uyuGofP+CAkvb5HGklXvikxXukqFmIM4OVKuVGQi8QgtNuEwBiqdZuQwxhee8OQt756yAc/WeeTd9ToyCpLcZOdU7Cxbl2z+x49IM6//HL1nj++I/nFNerFz8ngtXrlfZvXHb26E/ZRUlAJhhgMMw2BP52wflpzzwMhdz0csmFWY4BrL455x6sHeaXY7KTmmiti6hVbhFOw9dpLWuaStHqCp5/xWGxLqhXJI7t9vnBfhUGsGMSK02cCtPCIjY8WPngeIvTwpCRQgoo0VBywQ2UIlbE14J7zfL2CuYOsLzMHt3I9miJn78DXBEFWoJXm7B0EMUpFfONJxWcfaqACz9ptI/r73AyeeeFpmjkeisHA54039/ncA23+7OsTdJMKdafD/UyHx1nG0eTdQkJkV1J2bGVJHpQA7rrgE88yue8pEs/DS1ILdJWilB2kP11NuPmShJsuiTFiyNte2WMQ2z1/Pn9fyKO7A6qhYKGtePrZgHZPOpU05ouOeIkW5MbY/tVrrolZN5naxpfU8I5XD7nm4hhjDBtnNbEHd9wTcvikD1M+sgILAyu5jNHMpb2rL7+h/j4wP/63YvBetwN+vWmW/viSemVFeUQgBL4XEwRDZJBy6LDPF++pcrbvkRjBfNuKzH1HKnzh6w37BVKYmEq58eqYRtV++HP34biD4lyHla7isV0B7ZZEeoqhVgyN3TsT4WHnAnsgbQ2ML6UFszSEUhNIC4RAQaCKGX0W5MWYZN+zjQBZ43EZ3JbhXVmtnzF4WronhF6MMREnFwKiYYVwQhK4tLdyVXkjWcysowco5wEyZk21Iop9phqKbesiAjGgn4T0E0HVs0MwsxqSLKGlZLm8VeZ/y/6NLLjXpSH42hW9lcY/JKnLGyibIFOJbYGLreXqyRSpErau027F0Fy2fUBk+khP02oJHtvlsdKzVaTl5s61wk+BVSH1iuElV0dMTGmrUgzUPLvTBi5rnRh4wyv6fOPJkMNnfbQ3YAVJL7UTzNbJoep22pf8h595e/On39lq15ujcw1XAVykZ8B4712aP/ZKP+1Sq2rnK0ekIua5Y4L3/MkEn7yrjhauLtUFNwnQcokfBLSXDae/Uf6WawA8148if26EQGdbLiAtoIW0gY60Q2k8IfCFY2jp0s4O2PmjKj16rpNe4bbeIwe3beuyW6KEgSDwyEtMLYM7Fvc0gcuO+n5MGMYcX9B89Ct18AJ8KYoAM5cna9RWl3zibEioBZsdrBPFPu9+bZ+/vqfP82cbdFOfWmI3pbVVgKboxFFZTqAU7GXHNK/RlqUCr+yu81oYz1P4qQWz74CuZJE0UypFSvtcCu3ioRRPaITRzNY03/kybYcvCZOff5xRsPapt59PaIFOvOKCSNycCAECjVQp73h1n1QL3vMngv2nYJhoIhWAUpxpJTyz59Qrn9t/4r1xnP7zv5HB+wsfByGDZvg8vtdDGE2UpBw6Y7jzkZAP3d5g16EKWjomRWZ9YmsuS+kLMTYlzYZrxxl7FG7XsKyJ2RfgC5NLAU/a13a4ZNZUWyok8ijNQclYu+iqLwAuc9kSBiZvaQsCXRqck+A79g68GCkjjp4RzLcrCM8jlIzIEylGD0spUz/S1FHWx0mqiBKfmeaQHRv77DkzpJ96DFIIU4GfGvzE6fAkKzLTJfmrSleTyBMv1tUqGrgLaaTxUk2qBJ5n/77nssJWrpRzDW5gUP43dfE80iN5ivyvj4yjeKEVfJz33O/SdnV5660DLt0xz5/c3uCuR2qcnA/pxgEm9nns6eP85oe+Euh0db5nFcA/9qX9GCO5fMcy62Zi9h/yePTZGg88H3LfM1V06ttSNE+BcMyaA7I4sOcEtSj/ewHwvCzTPc8A4gnwnfdqkw7WofCybFvpUY2BPBsR4Sn3kUsNxxbc0j4GGdCz4NOBO+v+8XQuUXzP6tMgiEmI+eIDVc7OV/EnFEEmTaQZdVDGj8hIaakYCwIVg6GdYPuGl3Z54JkB7aRCz/OoJprIrVBZQdRIllFois6hLNAsRm1Y61BZ9tauR1YLPC1IlB3r4WVVmErbqtAywJVj78zVcgDPM8s5uIuSijw3XQa6MGshIz84wrG3kAaB/byeSnnxJQnXXbzMvU93eWBPwCO7Khw44LN1c5urNrdJ9erfOwLw2798B7NTtZf97O99+fr5T63QrFQ5Pu9z8pSP8SRO1DpgZ3dnE420Y4tVMC+WzuKEZ/+JKiUNJBQpYlEULCn3nudmjBQdOxnYyUchlIGdz0FR2H7EtQCeBZyZ7vYyWWKc3h6tJQ/8mMCPONPSPHGgCl6A5+RJlp7PGZzVi5t1k4om6oJVZe6Jx7HPtRcOmZns01qu0UsUNQV+Yr+LSo29x2WA22xy/qeyEdLlaVXaODYXaKVJtcB3xXCpskyeKOmsSF3S+joPaqUsMbc0ObBzgGfsmxdnFbmMgufKYCwXcZW+hzZ5/kOnmjix8cAtL0q49fo+J04NOTYnaNYUG9atu/5I9wde9obH33z/i1/8nWsDPPRXSNPed840o2vuvj8A2bQUOpFJCFU85kMtiy3/ysDN3VGR8UlRoJ/9bPlRMQoM6UBdPM+cA3KPWTmwe3mLWgHs/HnevVIAO2u+teztNLdHrrczS9AydgFuP69OjBHE3H5fyAPPNpChRyCFnb+dVxAW5aZFSns8m7nWaDRFqhX9gc9NV/T5rpd3+ODtDaI0pJtKKqlhmJQualGSKTKbaFD+U+dictCeLAYuOXCnSqKUtowupRstoR2Z6FKJRFYyoYu6canzeqSMwUflCiXAFwDP/63E9Nn3sBeJJnXfMRGGYWxXj9kJzaZ1hiiKODBnrmnHC98pGd6/JoPvPnCSmcnGaz/w8Tu+75Hnu1BvIpRnIelYOQOvdJksC8xi/l8WQJeBWxxmUyzXpUeZ/05Tek5e85Atwxmoy/XKSpGzuZd10GfsXQK757phsn02M3DbcQpjzO16NgPX3uZ7WcNBUrrHRMR84utNUhOi8uxlOcAs+hozZ2NEg2csnk+JknauX5oFmx4Cn3e8qsfHvjhkRcf00wr9VOAn5CwupXFTDIybGCtBjGtRWbImBSN12Z7reFcO5J5BaYGXWkZXqW1isaCWyGzkmyxkSV4qPcLkZYCX5q2USi9G2DwDc34hlEs0yvreGaDC1svb6yVkKjzL+vUL37d+21vvHnSOfaXS2D4KcJ1GxPHgwl57eMGwlTBdDUmySj93ZqT75RkYy8uwzD8gawI5M6/WBLko/fcjurJ8Hy0/zRg7b27Op1cVIFdqbNiNA7bdSFaU5qNY5vb9rDHZOOYuAkyvxN6hH/HEAcn+UxWM8lFSEkiNN7bqyJIAH3dRGNHgRQNElvRJU0Wc+FywOeby87s8tK9KrAL6iaAi7SYCXiKcdHNdOIkDA9Jq2FERUGJxUZJGxWSqbCCTpzSpskBXwjiZIu3FlJYHd8oC3CWpUga3KOnxArBlWbJaxtgVaLQGiZHf41yarFBP223GTWguGEbRhWmSfmUVgx89uUi93qPb7dMMwSi7C5ouVfmVY/Py0ivXADLnAvnIY7n1jBEGz+YKClFkBIs5g7Z3UJZB7jpdciYvjWnzlBwBeHn4j+22Jwd2nq3MmTsl8Gxix3YFxRhiPvX1GouLVUToWd+9tLKsqkEp1uIRizAbkVGu4869aa2IY49105K339bhiQNNhmmFngqoplaLZ7GKkjhwZ2uFdp54VpjrpMqYHs8nGpTGeGTDNJU2eG6FULpoJpd5/+Yoc+fdVWWmLbkqWWiWAzRb4cUaOn0EG6u1fH7R5sdO0h8a/KQL6SlIi+LCHOC/9HufQUpJZ6WL53l4yg1uKfVH5ufJ/bHyLLsR4K4B4vLPyfGfHZMqa7J43ghbTGOSY+xdniBrWVyivFGAB54bAORnWwe6DKdn8PNUvHbP05G7p2znzvNH4ZN3NhjKACWVsyxHZ7KMZzDHfaWRktIRHe60uNt2L0w93v6aAX96R49nDlWJlU9PSoJUO/dIINPyMTMIKXLWc+uz+1uj+xaNdNlo8PLiLDfHXdqSAJWafFhneeyyzJ0c/QIAL7F5qXCO/PyXXJbx1yUMrQ5M7cWaNdNImSLjxxmcfQ5dclM8gOPHT7F166bav/yl/7bzsaf200/tL0ylyIe4sAbIx8d8jbN0cZWeA/xjujs7SSOvM81fYvARFldjAFejcwhVxuAuyTMC7ix972eNydrODMlbxLKezsTdY5Qfsf+kRycKQNnyAL+sv8Va33MU4aMDjca8cF0eMm+1eN0XXLJlwDP7I1Id0tcBldTWbHtOgythB1faxFJmyWmKQqiMyUWR4XT1MF4+2NS+pxyj2+Npd6eQOYuLnL0LgIuS/s5W3VHAjwB6FUM7TV4G8wimSgmjAoFFhao7btFShYG5ZOel1/9MbXHh13sz6zZagM+dPUuv237NDZev//mDu3ehtG0fKg+aL6+y+WOZoURxKMdBnb03Xig/4jKMANoGZ6ODITOZUh6q6caO5QAvul0y1i7vYuwrrKviwG0BXAwF8svypMzeyvV1BhFLHc1//asGi/0KIrS130Hmw+cxghglgHPc8o4X7cZkjGhw66gkiUez5vGT393ha080WRwGRNKjLyWB66HM3KWi60aUgKLJMs0G7cCtMcgxZ0U4Brcg1toF8dodY2Vy12o1wE2xepRAPs7o45Ij98pFYULAap0+yuCidPyyxm3BIFIstz02eDt+/tDBA/fHUf+vcwZfXthD1A0Ydo/bbS4iD0fieR3v+IkqAzsjKDECbPPC0qUsTUZYuzSyoCxTZDFvcFSqZCw+DnBrc3lOkng5wDPNrfOg0vd0Dm7f9XIWHfkW3L6KCYKIj3/d57mDVZA+UkrCrDRWlNwkUerDFKPz/VaBuxxsltrNtOurjFOPJPG58oIeb3p5mz+9o4L2QvoyIJQiT/ooKYhFJhtXM7koM3mpi6pcE6MVKGNXBW2EBXdmwWq7oufzU2Tm3FDS4o7J5ag8KQN+hLlHQE+J6ctqoGQh5iUAuUbJe32NkbS7KaefP86BEx5aR4VEMSpChnC2F3FoXlP37W+REuQIwEeDxxGAjzP5GmAuXov8y5bZrixPyiyuBHasWMbcLwhwWQA8T/RkADd2TraTIr4q3BK/NByo0NyWvX3PTq1abmk+/40GC60QKs49EUUAdi6JwnhDQKl6dJVtl1mG2Z44qd2eb6qp+Eev7PG5BwYsdkMi5dFPpbMnhXNvxEgMI8p/zLF3DoyczbM4S+Blzopyz6V7LSF1QNduhUqzgNNp/pzNRdaYkk37PRfAyyAvgs61QJ7rcfe8VLfmLD6bed6xucVyssyAIYKBBfgjT+5n0/rp8z5310M/9cm75mj1PMIGbp/z8StoTHePa+01GNv+t6VxYCNsLkoBmRjR4SNsXhoplo1ELs/+Lne42OHujII729kgY25VYu5VDJ6NmyhGTnjKZi4PHxHsO1pBEyKklzfnFtWDoxdn4WoUDFCuRSmYvNCSI9uCZO1mqQfG49IdERdsGrC4p4pJA8viqfP8xeg8E5FJlVxGOsGdldGCazYQpeATtCwahIvZhU6XS8visuSmpCIDd/EoSkOJpC7YfZStRwFefi+TLCNqIA/Wy0mhwpjwVMp0U7OlcojJTVf+1NSGNzzVWd59xFMiJYkHGwPBa6PlFtO10C21pnSySuA9pyQp/4xYW55krx27yHFgZ//tiPa2r632diAvAdoyOG4UcNkHL9/dltaqDO4SyN1+9b5yrO3YW7nXnhejVMwXH2qwf6EKQSFP/FLwO/49x8dFrCVTRid6ZUAv7W6WldFGHuevi3jDTT0efb4G2m6X3ZcSP3VDPtNRqWSBIUraNbMNpRvQI4pgM3su3XPpVhWZ3YVlcW3y1VOPO0c6W0FErs1FaVVZHWS+EOjLAeeoo5JjLduVQlqJ1xvWSToRwVTw2sow2phEHPGy2oIw0DSq1g7y5GhSRY5dMWXwUgazWBv4GajzPr4xEAiX9cvn4YnstchBXmbsDOhKOZDnEmUM3K6aMK8wHAe2VwwIyke8edqBPLHyRMVUaxEP7VX89Tfq9AcB1Dw8KfDFqDQZDzDHL/5RdK+hv8csw7IvHiceEw2PN9864I4HejyyN8DUffppaCss85odsYodC3AXIM9Lnww26MwuMGXZPJVWj2cAT3MWt+cizRyVcWmZrb62XbfUdG1KhFaKEdxKXiR3CiyMJntKciXDjjEYYfLuMFD0B4rhEJLY7lvknVmOiMyQk4sxix3D5ukieSLX1JRiFZjXAn+hqdb4+fwuSgen+GIFq48B210MOXsr4eaAF+DOHn3P5NsGel4xQtnzsoq5UaD7OVvbu3LOSRBExFHKHQ/WeP5YDXwfIRWBIN9camS1O0cVYVnO5QEmojR2uOSFm2xQksw98TT1iCKPy7YnvO6lXZ4+UmWYBKTSp68VQcrYZ8m8cMYY3D5mZbRGjXvyGq0EKstiS4FRLhZz0iULMrULMKUWhYuixYjMzI8JZSxl4M7OeSY7xChbuwvDSlwz9t/amEVKY4FuBKCZmewxO7VCs9Ym8dt4n/zUF/E9j/mlNusnfXxvlJFy8EHpyhrT2WNMnWs/znFxnAPUIwAvNdRm2lu41/nQmzJrjwC8mJyaA9sB3c74MzlTe/lj8dx3waWnYsIg4tmjgq88UKPXD6DuI4UYsQazaa+rspir6Lt4ngEM50GvVT5bzDVRebdPoxHxupuHfO6eAU8fCsELGGrJIHWOirbbxeTuRb6iWkCRlsE+upp4ikK6SMvm2aoiHZMrZzxkQM888LKclAKELo7DWrkNskeykoZiqFCuuR1GclfIsbmUxc9IA1ILtLSWdktPsnf3HpR/CqNTvE5rASkEOkqYrudKHknpw64ZII47ImtJEzHG2KuBnC83JYYu5Elpaw0p1vDAyQussiyblxVcSQvobEb4KnC7u1+qf7b2YGLvrmsnMSm331/l3merULFtckEmT8RocJnHJrBqtVp9K7F3qY0t2408c1RSLUeAPhz43HJljze8rMdzRyskiY8Rir7w8FOKz5SWwJKWHZXVTF78fYNSzjKUls3ta+FAJFx2s3DYpPPJM0AXu7aV5JoexZEUZf19jjhtHDOUGFyXtH2WZNICEkFPK+gNEXIF0HgzEx5KSnp9Q+r2EzelEzQK8LU/1Ciji3Mz95hkGWXubGkTBYOLYjMpqUoZzXI2M2fuAtzZrg7eOLiVyQHtl0CdOSfWMbGPSsUEfsxTRySf/HoDCED6CKFsS1xmDQozwkzl75jBKqsnHMkomFFHZWT/yeye2tY9m8xQefreGI93vKrPXQ8OeOygnSQQa0UvFa7gy32W1LF2aXZBeQ3JKhpRjAEdlMFdgBbYSkpUyc5UymlsWbC5EFa3WwYv2ZUjsnPU3RkJhs9BogjWwIxzZnTx+wwQxZBoHyN8C3BPyTw5kn2Y7DTItYBdYqR84MyaV9zfBuBi9Ms7CTIqUUpJnkzbleWIcA24IyC3zO3LUc09wtr5Y5bYKTS4Ugm+nxCnCXc/UmXXgSr4PkgbXAb5OLNScJV//rU1+Lg8MaUneelsqUZkpLowlWjlHJXUYxj5XHHBgFtutCzeTy2LD0XAQNutGnM3I80AkJWnlrMapvDkxwBujDUFjEvdG2m1uTQ2D2GcbMlALspgLx8LXUr6SKcM8mNkChyU4zhRaHFZBjjjQB99brB/P3EbLCAE3vF5DUKgE41ObEJECbHmFTPKzmIU2CPsbkCIkQtAlrX5GiDPNHYuT3KQl9L0sgTwUkdPDm6ZTX6ixOAlcKsC3LnudrP+RuSJslWD+08LPnJHg2HsQ8138oS8NU2J0i7B5dUsP1uMo3xU95aAPjKosryrsFlLi3vUQ8kPvK7H7ffW2XvSXnypVvRSZasMU5HPE0QYROqYPB1bSTKolwLObGMpZWyAaYRBGgtuKa0+l062SCkQWSl1Dm4nX0qAzcAuROammfx8n1v6lt2TIiAtSLPYPSMLrn0vZd30kDBI0Magfuc//+cNUqr/tHvv0Uttdk+WQFPeS1Hmr8v7uYz+zKg/PeJ2iNLY35Gso3SrhyzeK7siJY2d6+tSz2UeUI4Eko658/eyYfgmtwZz98RLSw0NsXuMSGXEn36hxse+MglhCKqCUh41Zagq48ZRkDc4+6XWuCKTWk5EFStlHhSPySxZyohmF60dJpDVYGfNvwZhNNs2RpxckDy+KyAREoSykw6EyMsHRp2tTDKVVhVTPM1fm+KnxrdKX6Xbx5hfM7or8viqkM8MH5t2Nv7f5Bsj5LkB99dL4//Kk4mzz+cpqFdidpx/7cbzLnrFV71jx45NxoP266sqohL4NoMpSzbdOaQHY6w9IllWyZrSDLsRB2VUouRX/0gNStmyNCPyRDrWzgqB8u04VPkxY24zGkx66ZqPSsX4Xsy+U5K//FoNO3/FsrfV3gU4pWB0vDAlhhoLNPMXuSwZA4cerQ0pbxRgsqymkehUkSqnxVOPd97W47N319h9wgcZYYRkmPr0nLWWy8A0S4GLElxNPj4vCzLHg0+VyZXSY8bONsi0LKp1IVmydH6uAMpBphyN7wr5MY41SMtpfQRSl35+LFhVWfkvgvmllMbi8PXD5NSkV/MTGhXNZMPWTo8GBCKvaRgNnlYHk6wKLkX+/io/fCywFGIU1KIE7OK5KcCedfeUAsryloGqJE9ysDvmVplEyeZ+uKDSk4nV3iohVQlfuL/O7v2F9hZC5iMrCmnCmk4TYvQ4jLLmaOVxuQG5mGNSSvroovNda1nyx61UuezCIW98WZeDfxkSpbYRPBWKgZD4TqZYHDknInvuNLnJgS5yvWSMQOUxgUFRWJkyA71wAagQDvC2QCsHtDsueuR8FzJltYGR/Ww5pitLmLFy7JHYrdD+SSKIIkVlwdCIU7zQbawUBFYukF9dY4Gl05RruSmUPkgG9CzQyC+GkSvP/UwJwOUvLEUxT6jYXCrT36YILLOC/HzSk8vCjoC7CCgzra3yuR8uwSNTuymqSvH9mEOnFf/tM00G0rfsLbxS13wW3JaKi8rBdylgeqHbyEZbJS9clyr9ikBTFnNTlJ29nmqPJPUJ04R/9pYuf3V3jYOnPJAJiJRYCPrCbqOef06ytH32Ac3oByoxecHe9rNJWbC5yQBs7PmwwBZIYyzghe0WGvHFBehVmFoD6GWAl9RCOTgtcGhGMJWR8TCWxIkgSQTewkrMcjshSTRBMLZH4hpXUvkEFmLffShZdk8KuSJXAXzt52XGzj3VTAqUGbysVWXhoOQgd4FlvtOaY+tMixcBZbEjhKes9m5Hmg9+rsnJudDKE+EhpCysQVGsNPlzRk9Q4aCUt556AaDngC83HpS3WswG98hVAWeSeGydHfKjb+rwmx8JaMV21LExkqFW1jZMs3PkbMO8eKmQI/nakula9y/KXQYyY3MjMBmojcldFCPsdxDSsrsQAu2CU73m+S4wocek3FpBZ7rGe+PWYkaGvmeYbmqmJjWe3blAuBkhYhSMrNbU2dXFWixe+sPlDzp+ha71eqSGodRNP8rgZgzgZozJC4mS77QmS4mc8YlNKkFJe/dUjBfGfPr2kA98qslQ+06eKJSQBILVTcVrpOWL41Z68xwQN2VcMZrRLEppRysNR0pppSKVHhUv4cff1mXf0YAPfcFqcVCkCAZC4gljEz9ZyvscTF6AWhQfMJMqmSQxBmUcqA0Y4S5Kp8mLhE/G2lZeZEmnVSy+FlGOA7lEqKuy6CM4E7lb1x9KwqHEm6h5xAOPes3D8+SIlZfdRpcOUbw3xuSFvCkvI+cGd1mSZHZbAXZTsgnNuQFeYm6ZsbZ0mjvbmMorNqgqVwkWjzZrubQMf/W1GstDB25hAZ6PhxOFPXmu5M6aeC69LjsKZXsQ5y7k3e86aymTbpdgPQbubJsYjyT1mAhS3vLqHp+9v8ZiR4GMwUhi7dMTpSSLCzJHg01R8LgppevzwNIWVhWZV6vRtShLFcfgwrK5NqOBoC6BvKgxWS1fcyyVJUqJPFa9v4akSRJoda269MLQbtNRCRRSqdIvKw5AftKyE4hYA+AFqPOGh78VwM3IFV/euq4sUcqgXgV0ZRyYS/q7pLM9mZaylwV7eypxjzF+LeH2b1R4ZFcVLX3y6bVZcFnKWhZ3U1yg46w0xuxrk7iTCOWS2VKbYLmlrOyupEaicrliHRVPJ7zkyojvuqHHR78YgIrADvkgEh594WbZ5IHm+GoiHFuPBp6FFrfMbWQp4HTsnZXWZucxZ3PH4IUGz45LOXNZVBZmBCpKEqoM8HF5XAZ4GeRRDIPIDgjyBkNNnFggBb4YO/zl/7p0UNa4itZaPsbBLYRZW54I8treMpsXvYam5KSMgjzb1VjJtcGtStagzLYYdPrbkylK2sHvB49JPnJ7gzOdwO53LT0QVsPmOzZkn5XVHvNI3MLosTrXLW98WOUVj84wye6mLFMyFk8lWtq2tg31lB/8ri737wo5eFZCEINWaCEZCrvXTlEzM87ixQWXfTjlwGsnBGZa3LG5AS2Nc1UsKMtANyUQ61KBFIwWVOX16uPPS6ogk8jl+YbnOr5C2IaRwLMz373QTVWtBHZVLq7gtc/N+BWzFsApAaG4YtdicrNKnpSDhdX6u7zp62qJotYEdzEhVcnU6W4LbKnsEM1hqvnvH29y7xNVm8otB5ciG/5ZWJQjn12sfUEXGc3iWJaPZ24LloCel9CWHJUc2KZcRqtLAadCpppEeqjE45brIn7sHW1+7b8HDBNpM1BakgifPrZgrVhx16gsLK8q2MllI8GndGzutK4NLu2xMCbT2aPyU0ir3fOU+rm0tvs8Ba7Kr4vZKi/MGpokSRlGhigyeM26QSeGhtusKi0xyvioiHEmP7cOMqOgXyVPzKrna2pwYZM4ssTmagzgUha6W64B7iwVr/I6E124JzLBDxK+/pjPZ++tMRz6UPWs9nbsHebW4OgKM6rBx3ICJUCXg/Nx+i7SLZlEYBTcuijEytk76yTXEqkVymg3qMc6KtVawltu6XPnvX3uekyBit1JkCR49EYkZQbuUZAb7FCh/LMZMCW2tqxu2dzuTiOcLCmaGow7n0YIhDEliTJe8z0e443jqzzspwD7OFFkF6U2MBgktHsJQTXFm2ommCSlGthJVrnXmZ2mcZCL8mE4F8CLC6HM4OVlPZubUQQio8GlyAJLoQv/u8zgYg3mzp6XSmAtkNPi0SV0lLRTYle6htvvr7H3dMVO4HTaO2PvfI9IUbroLF7W1NyMAPoFmCY7iq4mnHEHJWfzMQbPnRSdW4ZSKNI0RUqPeOhx8caY73p5l0d2B7Qil37VEQZBLBQDJ1XWKp8Fq7lxQaUC8h0KhXNZSmyuTbGtoJEO6MI4qWLrtPNzT1maWHCM9l6+MIGuzbjlfIK9DyJNu6fxKxrv1Jyg1RIMIldyUfrB3CP9WzJ5DvIM1OXXJbAXadvRZMkoixcTlPKGAlmw+fjU03zMbw72Ymi75zm97fxuJW3tiSblf3yxygc+U8cIty2KY28FJWuwSM2fU56MnIwSyM/B3uXHEZmS6W9tShnNsTLaPKvpnBUpSY1CaU2c+kil+fE39zhwyucDn/WIE1dfIOyIhYGQtvOGLOgc79ssX6AlthQFm2epcSks0KUDv2Vq4bKYxgWbVsqM9ltaTa1HsCFGGLusRl7wMJrRxzCQzE57bJj18ZJUobXd89z3zBpXhMhfnxvkZo2TnH2RUf09mv1bA9i5PajHgM6Y/i4KkIogU5eCzBJzC12AO6s3CWIOnJF89u463W5gpYnM9oMsEjvFrPI15n6XjkF+kvKTUXKaznFyzNgLQ/k+Voyki7vtfC954nlrm0RKO9OwUU9486097rivyoHTLkOmBaDQQjDEjugU+QcomNxktSj553CZzSyh48AuMQ70IrcGs3NonPY2DgParXpFRnKUuUeCyDKjj1xso9AeKW/IcCtAlLxXb9N6j3YoGbYt49lu7hK43ZF/AYyvZvM12Xu0s3qVBi9Jk0yC5EmfVe5Jwd5SZqAutvbOwG3fL7KVmUTxVMIw1tz5cJ2vPVktpIljbykce8tyYFkMvRm1OkvJsEJ4r6271wJ6Cdg50Mt3DUaNsrgZSf44maIlWih0qtFCkQw9Xn1NxKtf0uP4lzyG2pqEiBg0JHhWquRnblyulJhOFIGnlG6VLwFdC2OD10y2ZERgHNAz7W3sz5YZu4jVzAhp5JbgKr4ePXZlm9U2YxiiWNPpQ2Mg8TZt2rISet07Biv8414/IUqULRjXY1fGC9zGl5Qc0CWQUwY25S0+yvPsnPYugVqI0sBHt31GPoxdmVHtPbJxUhZc6jygzPS3DBLueSzgtz48Qao9t2uFY3Cxdlp+1apTvnjHjsEIuP82QF9VYZgVYBWSxPrPox33UuqRmnEtHdiNHRYUBJpf+KEOe0/43POoQgeORrOg0ygGDqXCMNKvadyJNbhA0tgS5twDd7Up2egII8pOigP+SI3RWGKnRHqITOaXpZ35Gw9dhkttjJvOC8PIyjQvbNyxbfu2FfXj7wq6gTh20Pf1j/X6duAMjpnKlX154UypAWGkuk8UBVHlwqi8lkSVth5Rpniv9HMjqXdVsgBHqgV16b2xbTZKu4JZBi9kiecSOp6XcGJJ8FsfmeD+J+uuzzIAZVvSlLLztysSt3Obm6kiR++rZ5NncxJHhxEp1+41OsulOI7lLqXsOBcXeJHkGi1hcGQgyzGBm88tS7LQGNbNJISe5pFnfFb6pRJId2lqNwgod3vMOa7Q0SX6HJxavmZFKZYjrwPPr2cz+jPZe7r8nLHVrHQvHKbinqaGfmRoRwG79s//4Ffve26vt9SJUMrQ7dlWKLBRsXaRs8y/iRnVjGuI/7Ktkx2j0at3VKrkc6WBYp6dGZElhbOiR5i82FIjA3i6Wntn29+5jKVSCWmQ8pHPTfDXX69jKhlzW98bl7XMdmsYzVqSD/1fM4mV/99aS9xqBTneSJC5KcXePaXnuQ4ue+Em1+OmzN5akgqF1JpUKmRf8ZZXDnj+UJf3/rFPFCYjWsogiHKh4r5kxuSi+PvkSR/yljUjnTxwgaaVK6OBuCixesbs+UovzMiYv9HH0SOZ4amsJkzphbaSntAXiCB1wavBu+/JDRhj5/VN1mKqYeFUrLUcnOs2ag2a1XJlDXCXH0WJgYrZ06OaWwrjfPGSe1JyS0bkiczAXcgTqVK+9mjIh79YZ5B6NmMpbMYSYTuZgqzmpBRY5p87q42HfDxG9t3LOnw02BxjwjXQn8mR7ISNdNkbk0uUvPAqS91no96EsBo8A7m09eJae6TC7hD3Q9/Z5cGnQ+560u5DStaWIWzgGhWhcQ5yI0s1KkKgsuDTgVhliR5RAF04oJfT9DqXpoI8CegOhx4BfHmheGHArcKjWwkbgWTb5ioTzZA00Xie9DFIlIyBOK/Bzv5YmbX/VoFmia0Roy7KiI6l9DqfTkoObFEOLsUocxe7fKUlHZ6xeRZMFkGllAnKS+gNBb/xJxMcOhlifLdL3Bh7+7LY5W31vMHSdykDewTCq954QZCbsefl4qsRJh9ZosU5A04tnKMiJDK1gWcaKc7fnPDvfniFB38uoDOQIJKSSLZ72kdajDK5LpZqI+xFaD1ykweZSpQSPc4WzIA+AvIS0VkVJEbdkjK4GX39QgDPFFWuvIAkhuHA2EH+l144gZSK4bBDv9Mm8AR2M6PsF5X01gtcVKPp1fISPjoKd5TJiw2LRoFNSVOWtq8T55Ao0ow5JZlEKTzvJIU//HSDJ/eEGCldQieTJ5a9RyoGx+VJObAcv1P+fuNUNA7n4o1yHcpIoLlKc5aAPA7sTLIYgzFFCl9Km8a34xs0SmuuvTTmJ9/a5r98fIIodVewLuSKloqhLn1wB3KDTeIYnQHblt1mbkp2bMaBnsVvRpTxUAJ7GZyIUVCfA+BlHJrSIRXY6zVJUoZphYpskugE79obX08Q1jlzYhf7dn2BMPByYNuDbf5mkI98sJKuGtfeJZAXmczy7lyFTVgG8+rnRUJn3BqUmTTJgZ6gqil3PVzhQ59q0OoHdosH4ZgbVWhvURqck/vxpRoZzgXsUSAXL9fQ5WPaO3sxYhVSOvaMMnvWjGsH8ziHRdjWsVRLhDCWvbXd8lw7+zBJPJqVmB95W5fHnwu48yEFNSeKMzrWGchLHrgEPwO5cLpbZ5WE5B1WmT4XDjvljGae6zBj8csIe5tRXshofBXACykx0izifjqJY15y44u56carabU6tlzW9z0aNc3sVA9DhThRI3M5yoHPmuxdAnf+oUcYuyxVxncBGN/2YnTHLrUWyEv3UXAXBVXSaW/pJ+w57PHfPtHgwKLvMnpuh2Y7TQgv096SNUpiV4NbuoO/Cuxl71acO+Acx/uITBlj7uwMjrK2DTAt4Ox5ElkySFpGL7S488elJo01F0wn/PO3dzhyxmP/SYHxSlen0xJaKiJdklzCAitjb+MkHBL3OUxeEy5LgWQRXJq8VnxVgG5KeClhJwP9WrdVrou2cXGcCtpdwTBVKM9HKB8PEoRIiPUALZaZqE3T7YXEiSR1vXbZDgDnYvGyLKEE6FEWH534TxnYJc1dfq1k8Z6Sdm90pUosPsbcIzUnIsYPE860BL/xx00++/Uaxi/KYG2vpctailLFoLAZuozFBeSfNwc6oycrB/vI9x8DtRg9QeMxTWGXFYFdztilVjbpGHfU/3atYcZu7Gor+hRpap+n2iBSu0mrJzVveWWf1lDy87+rOLsiICxJFUkO8pzJhUBjjxFkwScYXQz6VNK+NpS98QzApVQ9awC9dNzQZYIsHb8x/JVHT2sDcSJYGQpSL0IFCdnGtN7ZJZ/1M9UzDz1f+8qxg+e/9hWXL+ceNdpghESUOjxW8894ULDG9hO5Dl9DewuTB5llP3eEzeUoqLN90nO3RLj3c7AneF5KhOYLD9T56qM1TJ7I8Up3iXLgHmfvMluLsfdG3JI1A8212XptOlpNGNkJLJ9ImdWnyNLrchrfMXk2Q1BrgXZuisC44ZSGNFEoT/OaGwa88WU9PvYlSZQIW3RjnEC2hSVoLJMbx9RIt3KUqgizWqFMttgWC/drZLHyaXch5GRH6ViOA92UDt8ax9CMATx1zlLgpbz51dO89ArzlfXTwZl6KFD/9Q/+K7e96hUr9cBbmazyvXF/gUpop/TL0h+wTFYCbzkQFOVKwLGNifKa7lL9dvbvaqxCMKsaVMW20UUxVclBKYPbyRKZ1Zm4VHwqUz53b5X/9/0THD4TlpoYfFBuFISUhBIqbpB9tt+NTeaUElOinNhxySzHWva7lfcPKs0wl6PP7capoyW35YRNOWtaTrTlA4Dk6M+MbM3nztfqILj4mQxMRsN0M+GyCxOOn1XsP+q5UWdjqBICg7QJmrH3y1G0yWIGyPuFsjxkub+gnOABUYrzSkmfsRVu5DljiSA3oDTLrNa9mCsuvIRmY/2/2bf/0MM33Hir3aNn56YuUsW0Kz36rZjAt45nmkpMlvHJg01T+p7ZpVbW3maMsYvqMDsHelR/i3GpIm3UP+qF6xEWz0EtS3631Cjh2DtIOT6v+NBn6uw9GELdWYKldPy52DsfXFli7pEL20X8a7kpmVSBEiNRVijOQ1u1Bo4TeFHwZA/9aqswkysjW+kJq8VluepQSoRRaKMRxlYdCqNJIs2lF8T80Hd3ePTZgCNzpQ+cUbB7bpBE2gaOWrjtZYXdo1NjUBl7i1KhlcgYHcabIGxNymjcMu6k2KyqKa6n0lViZYrI0/OJuwIHKRw6HVE/3Kc/KG1CtXHLJUhVY7LeYbD4KGnq0R0EDIyPdNGBKQM6O3El8K7eKat4j5IcyQFeAn/homgL8HKQ6d7LgS3KQWahvWUmTVTKUlvy+x9rcveTFagqB+oSyIVEuFXZc65PBsJyJ9FIV9L4Y/69C8CKVU/OfVtDlTiw6tUFV+UsZw7qogHYgl2S1ZRbqSLRwjYr26Zf5c6HQgtNKgyiZ3jlNUP+5bvb/Ic/mWA564Yom9cAQmGkR5J9Tl22DYWzCjOCKPR2MVJDZKpnzHgY1dvlrGZOGKWfGT9e2tjgchALloaCYRzypi07uOmGK1lp9/NrlVpjE5OzV9x5auHwb+2bS+nGKwR+ki8jZcAWjb5rl6sqVTQdjDcgKOk63fNiqEw722Axm8GX15hk/1Z+LceCyvy5TcUPpOG/f6bOH3+qQSfy3LCVEsjdoxKFLZjV0qxi6vE7Y88pTk7BPuJvDfTRNH2ZvceBX7LtVnnjo6yea3KybKfElHaLsM8VWivSRNHw4cfe1uHHv7tD1SSgUzAJ6MQ+mgRMCjrBaEOiYWBgoCHSgkhDrCHWgsSxaaIh1YJEC5ISy8YG+54WJKko/WzxM+nI77AAzh51SaoUxx36KXhhh2sv7dDpHf2tG6+77M6dOzYVDF5pbOdNP/JrPaXU4dNnz+fqHXO8/daAWui7XrqS7BiXGPlVZ0b9TDEuVWB0z5W1fm8WWOoi4CwFlSOPY8wtZYLxDM/vD/iLO2u0EzcRsxxUOnkiMmkiyhWDpeertG45wCxNrioHmNkx+FtFliUAl2srSqgfGS0BawC7GBAknRyRzg8XwgJbCIMo/5tWtlxVFAmgJNY0wpTv+Y4eX3kw5Kl99ncUNOm+ksw+pb1QhgJSAYGwXTvKXYCaonVNiaL5Qbj3dO6sgHA2YiZjMvlSBu9axJIpAOWK0y7ckPKmWxJe+eIKwps//NS9P9e79pb/VAAc4Bd+9M1UqlW+9vX72PP8Uxw7HbBlNqYSxpb45Ki7sfZmnUXQSQnolL8Ao5bgan/cZS+FpnBSUrcEZrJEj4E7RfmaZw4F/ORvTbFrv0vFy6LOJJcoiFx7K8EaKfmiLnnVQR0/6GNMkrN2piv/1jAftQbLluxIVZ7LRxQuSnmHCDGiyzNHxQjpykntlZIDX0iEc1hEBFdfFPO+n1/hx/6jYNcBAT6FVMEBXZocMgZJ7N5OtcAXWV242xHPUGQ1hZMphpI8LY6lzWyOldHmF4GTL4Z8IzODC/QV1APD5hmfZDBNJ7mOyy97KVE0AMYAvn3rOiqVKju2NOguKDxl2++tWT+aaCnXlVACdQbS/KQ7AFMC9ii7F4y+mr2d9hbaPdeFHeisQSlSpLDNxB0j+aPP1HjquZDUK2nu3Bos2DvT3qPyhLEdl9eWJGu9n8M0p/NS9iJH/d/A4maMzcu6mzJ7myIIHRkjnL2WeYGWFjLfoElrae1CIR17S8vkxiC0RqWaay8f8s/e3OUX/otHJ8GyQA7s7MoCiiES1qJzbO4LkU//Uo6Zs4H5WeWgcGAvgFswtyj9u8zBbcFuBPl0WdywIYFVoHFiOHoaLunUUcEs6H5+HHOAB4FPEIYHNqyrH+xtrV7QqHQJfNswIGVRD1IEgONW1Rhzl5m5nPQZkynZv8sRL1y752PuiUiL4DJzTPyUnhZ86LN1PvnVGkNVZuwSczv0rq29y/ZcGeTjCazxwZrFViUj2bgSoMULYdusfloweDFJKpMpGXOXHa2MrYVrWrDPbe4ikzDCsXaWDJKuZsVu/+FYPDWEIuHtr+6x+6jHhz5TpxsL8E3hjWdMLow7poCwXZ0xdn6gB3hGjIy5S82oo5IDnRKY3Z8QxuRxbubEZAVamf+OtnPIU22IYmh1E+rVOinhQT/wDwyjaDXAN23azP5nv/iVHVvDPwt0/d/123OEgSw86bHMYsG2BTuzBrALD3bcZckuFD12kRTvZ0Af1eFOlmTMHQs+9IU6//GDTeaWA7v9giwldSjALRnV3moc2AVBFI5KdqBzkI+y+SoQr9Im50a4OcebZc09Cvoy0N02esKMsLs2lunszEDL3PZn7EQstGVxXMZTGGMvCK1IU83GGc0v/UgbDHz4Cw06sQcyHWXy4lM5NrdHTBtBJCARFljKsbdymWHL2KKQHKxR54MYYXYJxbQsIZCu4EsDaWwD1U4vYcPGaYa6+mef/vx9X/nB7/nO1QAHqNdAqvCLm9b13tQPo2uSxF7xZT2tco08psVLepoxbZ0BevV7eg1gm4K9S4GlyBm88L1FCH/91Srv+WCTM8uezdSItRlcuOWz0N5mTc87f14aazGScaP0uvy+GAM6q95YG+RjLG6bCyg0uZMqhXVoyIbwlBlcli1ExIh80Vo4SWKci2KcXMnOSSZVDEmUsGkq5Zd+pM1iW/Jntzeg4j5dLlEMhRp2IDcyPyDaCGIHdGUKTZ7ZhiqP14rtT7JjWLB8qaMspciYZjakxv6NISSmwqmOesoPql/sR4OR4zsC8M3nfyennv2J+6uheCwQ3WviWNAbVNB5G1vZ3RiTJxmIy0yduSyU5ctaiaBxBtc5+HNZ4thbSNslLwPDgRMeH729xul5HyrK2R9lz9u955a53PceAfPavZbjHFwGehm7o5JltVb/29zKjslqhl8j6QNFgAkO8IUut4DOgkycLClv3S1zQBthHOCV9UCEIo0Mm2YT3v1dPR58OuDgSR8C9wFyJlejX0C4pmYjnWxxNiUW6JnOVo69MwBnXVKSUq2PW23z1RV7kWQzWKRzdFIDS30wvuDY8uCxX/3Anffv+uyvnRvgAAuDbSgl+eoDPa45r8dM054mJawnnbkZ5WRMsYnnalBbti4lfMrvr9LjupAtZBIoY/BRcB885fEr75vg649XIHR57HIyB/caF1jCmntbjrekjXvfRcA5Ondw9WtyL/zveisXMBQOkgAALt1JREFUEo1Mny1Zh/kFgdWh0pQlyqizYrFYWIqZFifX7BJhtLUSjcS27zviGcBtLx7y73+yxS+/b4JDp7DOSgbyTMvl4FY2AzQCdOEu0KISVZeIIXeocAVbI4DPNLzIWV8KgydsZ5FyjdBbZwe84eUaFe4ENLs+O3pMVwG8vu778DwVza18hj1H9vCii2IqQVxU72XypORVj6fnWfU4Bvrye+NanFGJImQBcClSpA9H5jx+9Y8m+OSdNSLhdqPKbcBxiWKZYtQWNO5AukfGs2iFVVhG8EgJxlo3Mfb4dwX52PPxxtyRGo0yo5e0dz4Ry6Xvyw0SYsRtyfxyMNqWaGghIYWKn/KO1/RJNfzyH05wdG4MMRqrFVAloOucxXOQZ7n7DOiikGI4oGcVIEIUMiYbFqryuMmOYfaxIzwaoeaKzYpXX3MZ19301kjrhP/4c//mhQEeVrbQaFZ+7vWvuPjyxZOnXpmm825fG9ulLqUeCw7LQeZaQHavHZihCERHJMuIXCkxtwO5EinSg6PzHr/w+xN8+i4HbpXN+xi/W89bCLuYjiZ1xhnbOAn2AvagS+Ksqj9ZM9I8B8bFKGDXAnX2OrcJS1q8DOZiJ4YSg1Pu7xQjmjx3WrS0sqTE4kYbNLZiSbghLEJCmtiR09/zuj6egl/8/QmOzuPUiUOlkSVdXtbmjubXAPnI9E2yeMLKKQykCBL3IznYXQwVCPudPQ0STZI2aCcXf2P9hu0/B8NVh3wVwLdsqnJ4zx3tTeu9vWqQvqIWRKoWDlFe4mqyVwNyFYNn5zOvXTEjr8s1LVaOUAK2zYcJ13OZv+fBqeX/r70vj7erqu/9rrX2dMY75d7k3szJzUQGAiQQwowYpCpPKUh91H5aWyfUp1alIq991NePIrZWWzsLbaWWMqgUsBhAhYBMAVoZk5s5ISETN3c60x7Wen+stfdee599bm4GEqRvfT77c84ezj77rPPdv/39zQZu+E4ZP3w4D5fptCT1ChYhkBIkuv/qMd5EA/thXfO6I0IDcALjiKkLkH2+hIRO0I+YXiSArzlyomyWiG/rtvE0TSETWKQTiKg4ljAsmnMVtyIoggAwwHHlO2rwA+AP/qINew+FIKfJC01I7xDQPH6vgNwEdOiTo0CvwB8QgkDE1pU6IbA4gcul7jDaMIJGYA/8690PjV5z1ZrDAzwcFEPX9k32V3qN4eX5nAvbFPB9qommGOiRjRvNAE4APHomIV5PKJtcvY8VTEIECAN8g+K79+Zw99ocXEZirpewc8eRgqFiGT/ekOR4iZADLZEBMT3JjghEEuUk8ZPUbz0GjhJPV2LmQm6SkNrQwK8sLDHQY0keKp0RRVG0JLSZS5DHgKdQHk8wmVPJBUwIXHVpHQPbTXz91iJ8QJpIiLKukPB3h9I79O2rSRLaZCYiKnUNPUOLV++VSAWHgBcIeAaHoARjovDi3jfGrp3SVcycykyAz1pwKUb2/EXgejPFP9+5E3nbxcXLG+ifSuD7TANxklMnQZwGOUlI94i2qGNDYCNy+oT0RIrgh56wcceDeTRoKzrCNMC3kN6a3TXTQznOos+73howkuBp0X4MwE6CFIlFn7kkRQFiahKXoZioJBdchrRCiNicGEl1GZVoc46r19Tw7AYDDz7pSJxGv1kHuJLcafEgxvvxqclL22LDcwcci6ZXcMGpVRQLDnzrLLFzsBp8/uNXTBzgADCE/4FRt37Hg/85Mv/lrdsLRXsHFs/yILjOm3kE9OgaQy+1EInrFdqPbc61S1MdtTACYhDc/3gO1327hFe3K0eObgaM6nskwU2gzIKIJXdsGYljITLpSQqnWdhN4zjSPZTV5mjxLbIefhrT0134CboSAj5FU2LpnNzPdSkexY1rbn3KI5CDK6ETCCyZ4+Kbnx3BF5nAfzyWk3IlTK9v0rJbzFhmkZ2MSUuAXLEHT+CsRVVcd7WPADMqbdNX3UFYDt/+cvacMrQYf/5n38Jlay57ftnc9t+dXNjW9v5zKyjmOCjxYTkerJwHw/Jh2EG8WByGzcHMAMziYKasr0XBEzb0iLtrdu/I9Bg6WChATIJ7H8vh+u+U8Mo2Szpymnh3cyIDqExmsFQpCJNofe3DrBwCLYsolWSsZe7IBwZJFN1kNC5jFzbLjTv7qv7t0TYSbYvXM75T2xbVHqca9w8XqtZ1R1R0owr1Gc22T2MFmabmXXdORUp/5KyLsRXTNXlT9XRxnLrAx669DAPbGHQBmwBwUxVRtUAtPABcATTCeNr0EqhXRXuoAJiBg6MFEL+Azu6L9g4NVT+06JQVXisct5TgAHDWykXwGkNY1GNhUtkAJQJ23sWr2yle2WFpE5G6+4RAEAA9HRwrFnsoFJRRNhAytJhn3OchhyMAUYT53sccfPkvS3h5qynVZ6ruZH0JQQ2Ne0NRE7Qo3gMkJHVMUVJ/OrKO0a893YwrnoeJCvFQQJOsjS2cP7orP4EpLU4lpCkQQilsseUk1DRCKQ6iUZWI8qjkCS4TULiyS1LOITyBJbM9fPVToxAAfvyYI38BVbpCJldTXF3hABwo5ATOON1FTxuHzyHLHic+EXfLfnW7iQ3bHcAxsWewgIf/s4BL3tmPzs7yuPM7LsALpd6Gx974uDO96y5HvFLY84aPf7+/gDsezGPXHiMOEc76LVyg1MaxfLGHgs1Rysmi7HOn+jBsATTdcyRSDAUleOAXNq7/yxJe2WpKI3b0mNLFWwhsbV1JSIbYFBiZBIFEoE9WAfsI2Ck6qFtGmkb6jjhCkKcBnH6vmwhjZJPoIN2rGSdBpNPciKIzMfcG0Ti6FrtCqL6dKjokFPil9YK6wNI5Hr7+6RFwDjzwhIOIn0YWE20uPMAwOebM8vGxy6so5QTytsRHuS2ACAC0YC4EBDv3MNzxYB4/eiLA3n0MHT0LKlWffnzOjJ4GxhnjApx7e3mhNGf9gfqlI7fe/Vzhrp93YsM2CyO18Adk/B3RXSiAUYFNr9kg4GBE4MHHHbz3wjquWlPDsnk+DB5bBiS+ZUGbtU/a+OK3Snh1mwJ3K8UyBHsIcgUpafeOo9n0GuTxI1ckgYsk2BPr8f0nvYA0tQ/Nr0cK8qwwpsR0JvZpZsJoXbOiQAd7qB3EEjz9mga5vAlozOMhU+LkOaSyzrkA9QQWz/Hxjc+OQgjgoSdtBJFNXGKECNkNYtl8D1etqeG9F9bR3+vL/0IARmghiUyEsddTn72+BcDiGTVcdbGHex/38b73rxqZM3P2+l0HhznGGePO/2iljmLexg/WPrX6xz9/4ZHv3fe8GVAKCB/Svqm4VJZmlOZdgoNwDoty9E3xcM2aGq65tI450wKYTE4IJ8DP1lv49M1lbNxhSJQ2ATod663He0s+bBPpvTeJypAnIsqYjzPl477zNL0vypyHLHtM9OPCDHqobPm4hHJUOlnPsg+z61PlkxlTGfksdQ3hK4vXKdO2J5pvpXuH6tv0yrs8VfIuiMvh6aU4oqjNuJBSMoozULqUfE9UpBQxKTbuMPCpb5TxyDMWAlWg0GTA7Gk+rrm0jt9cU0PfZB82VTRVyIR2LphKsUs+/iSkaDJoDAyNOoXZdqHntK+6MNd2wRNAHYTkWmKYYpxRKjh4ecMOrD51/u73Xbhk66lzygAoiJEDjBzAHIA66tVOLsxWNbdl3W1QA8JgaIBh+24TN91axOWfb8e9j9nwFbgfesrCp28uYWB7CO70QpPrSG+LlfrQJBhSlFb0JLzLMzm2JslbUY8s20HksRxvctOP8LS0EakT6SbEhJkw23kUSXYR05bY+5m0qnDtfSTBQZUU1yU6VdJVvVdSWvgC82f5+M51I7h4VQOMExgA3nt+Hff+2RC+/OExzO7zYAkB7hEEgQHft+AFFnzflK+BBd+Xi+fLdc834XoWGp6DhufAdSkOjk5Dg5yzlVrLdo8NbR8X3MBhKAoAWCbDts3rdpwyo+0jV66Zs+6Xf/ssirkS6oFsLgoepP4m9TcIAYgAIGESK408uQICvhDYtNPAH3yzBIsCti3wuT8tY2AngwiDepoMzKkl5OBhfwCSUiqRdOjEgBUxkDNMg1mUmqQvJwPQOkQTZdwOM5KglOfR++REJgoRv49AnfCEItqXjFUR8TlVjApYyusJnbOnKIsgWi8euU4inq0UR49g/gwf3/rCKD77pwSOzXHz749i7pQAvCFUrAxFwA0E3JD5oYKpV3Xj6Heq+skBpwrwBixjGGNiEXZu5B8JXn50x/lnrzjs3B4W4PP7p2N0rIJiIf/6nC3WY2fP23re8HANO8YYGj4QxnyEyl087wKCGxLknALw4rL8RLlvIeBVCda/bGKoSrB9J4NguhauSe4ILppSGb1HQnqHwVRNlpL0ttT78AZI31tZEpukQH40CmVLwGesx6Gx6ViUUIdJeTF1R5GqHygBqh1HYmogOJVzHyqjYQx66KBRx0OEIbiyqWziKgOKOTMCvOfcBoZrBFZON/OEVXCZBHlgIFDZ/TLbX15Lc0wSEHCGfQdLMK0e9C889bGO3vNf99wKbLuIww122CMAfO2rX8XFl7x7sLujODqtU3yg09mGfKGC1/YJeNwAYRQ2k20/HCb5r6ECPQQJi3mJJGd3OeZN83HDJ8fwwcvqWDrfx4bXGLbtMCCYDu5w0d3wOh8PaYpkNbK+d1jMJ+bSibYhuu1bs28326dJRq4miV8jww2JbeIE0m4e2a+V7TttByf6OePv1uNjmo6J9ovEcdoUaG1NkseGZtCImqXi3/V9MVVLNguLk4WFlpwdOvQIYAIPP2Hjq/9QwOPPm9iz28DCfh+TOgIIX4UCBAYCbsIPTEVLTPiBBngRNjYETINDCBfrXrDx8/Vt6O49B13d/V84uH/n492TZ09IWBxWgofjlAUzYefK60u5+j2XnL7hfT954hmsf2kyqr4DhwIFJmTrD3VTcyHrZtQIQRUMXBjSViQANATmTvXxR58Yw5VranAYMLkH+NSVVfznSyYOjLE4frWZKMQLAUJ60lTmAepPwzj0JPxxRCQlcAbnJkT7RIZUR3K3epPeEA+Reo0PFNH2DH8v5LMxpikJqhIymUjUhxaJMIgrpilxIaHY4sJVXmdEd3SKoiRsbCAhERABKWsODFN85+48BraZCIjA9+/PoeES/J9rR9Df6yOohQVCGfzAhOuZCHwDAZfgB6TNnVEOGAS25cPjPu59wsVIfRbe2znvnq6e/vWHhkYmCtvxlUx9dPdMhkUP7Fi0eMVnHt1Quu8HT3RiqGHCMinKhkDJFCiaAgVToGgJlCyBsilQNjgcRkCoelj4HHOmubjxEyO48h1V2JyD1wWoK7BiqYdzznCT3YqygJ123yq+HTruk0mth1EiSXJf2uadALK+v4l3awnJ42qX4+yOeHPyIB3EIuOYRLgsYsAm38etT+Kv0uzi0fk1ShKCOvydWtATUpyZUILHn7Pw/IsmAhOATVEnFHc/nMMf/20ZW/cYME1JObhqO+66JmquiZpro9YwUXMtNBoWGp4pF9eExQg+/B4fV7+L3zdn3srPbN15YEfvlJ4JA3zCEhwAnMIMfPeuR3Y6+fNfGqtW39vw9qI7D5QtDocJGCy2WAgAPhcwfQJfCDQ8IGhwzOpu4I8/Poyr3lGFJZTFkchg/cnlAL/73hoeeNJR/D7jIpoQJl/TyatNIFeP1iz+3SSxSQq/JP1t2rFI7m866AjI+XjATxexjHZFCQRxbEpIzEXk2UzGsEQFMKNjEHHsCPTh92gSPfRXhEpneC2UAPU6cMt9OewbMZTHWXLGOie46yEGCIL/e+0wpnf4qNYJXM9ErWGj4RkIAhr9MkYFmM8QmAwEQDFXxXmnT4fZceZLgj+ws7f7144EskcGcABYOHsqls7r/fpTv9w1Z7DCr/bHhlC2oVrtxa3vQKRO2fABjwtUXB9Ll47gE5cfwpUXNsB8Ex4PuR8HETKRYuVSFx+4qI7b7s8DubQtLUVPSAzuMMUpBq7IltIa6DIjCjVgJkCdAdSWQVVHoXFmU5YQwCJ1nE47kp9tXki0N6YpCtxEl+RCuwlCCR2CPv5hUVF7/efawJ0/dvDsi5ZURKkWOmEQNDjBnT8zAcbwscsrmNcnUG9YGKnYcD0DXOWxxVWGOVwvQBAImPZM+GzZHZaz+utEbDvieT1igJ+7Yh7+6G/XDs87pf/DOwYGpg4zcq7JeEJRCh0fhABBAIAKrDl7CDdcM4RynsFv5BEACOueCCJrCwrBUXSk8kmoFtYQoUmHXBhFGK9FS4JupGJPkveG/HvTtAUR4ciUzE1/8BFPe8bI8ljGDkEFrtiWGHHkiGsjtiRqcSmR9I9c89CkcmxxCZMSkm28kxRHzZb2w+XccUEw8JqBSi20qFHoxZbAGFxBceejBTz4bB3Xf7COFf05vDGSBw8Iwr5MBgvTIaUu1XAtUKvt8WnluR+u7P9RtTj5fx7xtB4xwAHgKx+/FL946r+qp3/8Pe6/3P5DHDw4CC5k5gUjgGkQmAaBZRCYBsWSfoI1q/II/EkYrQRRQ1bGAjDhy6wzCMAXKNgCl6xu4PaHfLy6nQF2WqaRJtFJkCw90PSqS2loPDzFtyOwpnVaZOxLbNSPJYnzTWQkbuRWx2S8j8BMmtd1yRx/LgRwKtw2I2YlsYScU8TKdnhWagm8vNXEQ0/YqLg0rgcZ1mKnBkBNUMpAKUHAC/jBzwKMDjvoLJuwTAHLEDBNDsugYJQj4BSuJ1AotmPu8svd1w/Sat/0y3A046gADgDLFs8F5/yZSy9ecfYj6x7LbdtTh0EA2yJwLIqcTeHYDMUcw5QugWqthAODBKVCHY5dhyUoTOHJ7LLQ9ilk7mW+wJGzuGpj1wJQuvROc25NaseZOkkQZcWRZH1VvJAW15GGYfMd0Or8R+LpTH4xj2hGeKgEt65Ahvu0bB8N0LHCGDqBwlmLObpI3b0i/UuU467uEtTHwjS10HxrKA+2CcYYCgZBu8nR6QBFk2LXXoGGK1DMU+RtgZxNwB0OxxKg1McbIzlM6z+j1tY59xlCJmwLaRpH/clSqYScY95wycXnfmvxkin1TftkeKBjEhRyDMW8gXLBQFuJIOfIIJ26a6DhGvA8E75vRrbP0OAPUIADFuMoFkQGiNJWlGR10gjMKYkd/htNyiVi5tMk7cflICQTgE2fw2EFc+bITEhOu+V1J08IXEBTKFO0BUQ7n6ZEQlMgoVljElSmhY6gJPtolcINaMooL4ufEsrgMIKSIS1sOVPa1uuNAMNjPkbGOEaqBGM1gror/QTTut+A09ZRP2XJ2d8CMW8oFA7v0Gk1jv7WAGDZeb5929obuyd13HzKnD7XYEBegbtUYCgVgGKOw7Ekt+KCwA8Y/IAh4FQBW4t5EATcJ5jVzXHxmQ1ZF0/EYM6CjM6/04pknPOZDd507cGmoeG4KdNnHB5+TJxcpM6ioZrowNW+R2R8Y0LxTNAPpKwqOtDj79StKVBmwdh+Lj9LCACP4OdPW9h+gKmSVUlnnEEJHCp9JKaqpcOFQMMTqNYDjFZ9jFYCjFYJxmoUdRcw8zPd7p6em+/76c9uLBZy40YLHm4cNUUJx2PrTTdf6Lpp5SmBu3dP7Ss506dtJYqcLZCzBRybwzI5DKbp8yLZzDRMdwoTZHO5ALP7AjCq2qZH/7lGnjWKogM3rJDUZDXR7o80D0+fHhqYsywrOuVJ0fTEOFKg61w8rWSmHUJ6tavweAhdwqdMexplQURLwiKeqfxNEm5DZHbUJb8+Xz4Htu1hqFcJkNMmW0mU0D9BtO+XRTMF6g0BCGkt8XwBzyewrQKv+LO+smpZ3zeHhsZcHOM4JgkOAJ/8yFWY3kNr56xceM+F5y4XkzsFutsDtJcCFBwpvS0z7vgQAU6L+Y2dDUoqCMD3SeJRHR6rQ0rn35SkQJcAq8gEYpYumebb6c+II0HtBI7NMvW1PDa1P2EGTMSqZJ8nTTsizi6aLzY2KWZIc+07CaQeGd036f8pebjs2BDIkscNl6Na5xgZC/DGkIt9bzQwqXexsIsL7hnYbtQWLb/yCCY7exyzBAeAmTOmw851b+rpzl87rdv9m+EDT9N6g6LWMMGYgGkImIbqccniwp36H5U9MkRwyv0dRgw2K5uiSflMS/w0zdDPOy7naLneGtHHw5Qo0iu6J7PpGpJ28igiMPpQ0kQYJymrtDadkqjjY+9la8rYdM1CZaoJolqVCHgBYAQACwAuBKoNDtenePc7z+DTps+5dvHieZt27tp7HGbsOEhwAJg3fyGK9qC7YNEZt0zrG/z8KDexeTeHEEQmFrAABuMwjGRwfVOxznBwqXDEExg/8uQmybgj2zuaObgef5gp2XXmqgkbfZCMlZY3xAkYMcXTtugKacIOrh2rPR7iuJJmh5CulMYfiUGuHxeuEwLkbCFrpMRXEn6ZLL4pZK8eX+URh/15OIdUKntcnLLIxsGK9/mzV628ZdPW/e6iRYuOy5wdFwkOAJ098zB0aEcwafoHtxS2vzBa2fh4qVIbRc6W0tsyA5iGD1MrARcX+oknhxnAht0G7nrIAXeJKt0b/r1JoqEDW94DzUpjpnKpvyfN8qgplQ0hzdEJO9AS3ePa/1qMcU4VgTY0DZJWX0FSHkrtHJqUDyW6nqQMzXSIhH6kHwtNosviQKbt46pL6vj50zls3G3F8anqbgkE4KqGVUYQRnMKGD7ADQHLAObNnIx3veui0d6Zp27ZvXd3sHzZgqNEYfM4LhI8ml5WxNAhet/ZK8/65JpLLhosFoswmAvH8uFYPmzTh2l6MFiginim6qooUtfwgZFKWnJnmwejzB1dcpPxgIpmadzqaauva+T7sEL7qGyD4+8TLT4iUp9vcvUjVuJjC4j++ZQ012uo6Pt127gKaQ2fJOUCh22kL1Kom0egIYBqQFAJCKo+Qc0jqHsE1UaAYqmE01ZcNDi3f+Un/VpwX1spfxST13ocNwkOAG3lLgBAZWzktqXLzjLai+7XR/at7baNfchZPkzD06R3usZ4DPYwnloHdDoOhUBr2goN0KFSOY7SGb2kJHomLjPAPwHH43Ef431frGxqjh896EqT3LoFJpLckcQGokx7xFJc7/0jlJNJV9vDlDcJ6jAHN7ZHBhyoCgKXy2atDU5Q9wN0dHTine+48MD5563+A9f1bps6bfJxn7fjCvBwFIpleO7wP86et5oO5Qe+5o9u6rZND7YVQECg0ZB28FbubB7I/uPJHDE9kyeuO6jXGkyb9nSwQ9+OJl01HuMh6USjWhtpmtG0k6SkeRinghhrhGjWkRDMurkwNBWSmJLEVW71vM4Y9FB6FqUCzeX6Ym8T5xxug8MFUDEICibFuxcvOnDpJedcX6l5/zjpMPVNjnYcV4qiD9NqQzBy+y2FonFdHT2Db4yN4qVtNWza48KyGmqyk3ZVSmVToedftLB9j6FuP60WCjRwo7nmSaisNpV+QJp/a9+ash9Ghe3HAfMJx3lCAmddgU6uw21JztKykL6ApnTGFhNp/aCxiVBTUOWH5T7uEczqC3DaMhemoX0JwslXd55fxZLp+7Fi7j5MLh7A6mWdg07Bvu5rt/zkljcL3MCbJMHDYU/6CLbu3PB9tJ39pe0bvt/55b8aQHu5gM+8v4IV8wg453JSaDgfAnUBbH3NwKFBBpR06MbZ8yE9SUrwVH1vAHGR/XFh0ZJzHE6YvzlATxiU1fWRDOnYfFjWOeKfRtS6FlhFQqmsaEpYQD8qCATo9VH0tuGy5ThB4FN0dfqYM82HTbissib/TEhPJgXlwOolPj53hYtCbgz3P3vG6JS+3k87zsi/ffZ3fu9NmcVwvGkSPBztXQv8jq5FvztYX/yhjs6z6qLSiV17pmFwuAQ/MCIJEdYtHBuj2LLHlMmVUJREr2al5k6CWyTpiZ5srNOR8O9NS+usY37VRvpe0JVGgQRXjuzZoV1IaJ+JYlv00hEpt77Oy0EiCQ8X6O/1USzxiJLI+SVwGDC1yDG7sw3c7UP/zDPrF62Y+3uHRnrvoL59TG74iYw3VYIDQGeBiC/92V2/eK3S+9Q7VrBamTr/0pnb6vgqDjgcoYL54mYL9z9tq3JtqTooRG8mhUSXtCwJ3qo7sf7kzBzHgPQTfZMkeXf29YTcXbXnSXBy6dgRkTRPVqhNAjq79DJD4AZ496oGbp3nYt+zloxWVJfEBWAygYMHBXYPL6z3jXT+5uWX03tWLBwKpi747Td9ft50CQ4AN33+Kly9fDR4aftlP1y2qOe3Fs7vqLaX98OxK7EDmHLsrwN/88MCxkZMmfqu1z1RyiUl8q7UpXc6mlAvstkstVsz2eOBzqMxgR+PM4jDbdfMftA4dcL5I0LPYxLEstxDrFjyxD6CIGAoFTmuvWIMPTlfhTnLc3tuHftHq8h3T6sKs/u3zjzv3T/80Y8KJwTcwATLRhyPcfvtd+KOvzoV1//dv72ybMGp2555NXdJvVZzJrUJWKaPgDRw+9oc/umBMuq+KT0+hMrybKrnPKEUJlFlkSmi0mtRWQhNqjMtelMvBUEOu5DDbk+WhIjLSUQlIlLr8WdI6jNIvG/1qivOiSq5LY8P98cKc/QwRNp8mpHxlG2Z1b5XRJk3YTlmKggmd/jYO0yxYYsDjzgwqIGVc31c++s9w4sW9H7s9DMevuNf7zLwe7/9gRMFuzefouhj4WnX4Ef3fAcjlWW3d3TONsuTln6z7j/eRRsbcedaB9d/txNjdVt1TYtNgiEXDzs2GGEdQRL3m2/6c7U/K82vM0zbRzwiV/WJmLhj+JKkUYUgLBCEiK5oXFvRl9CFLnMlpV1JgMg+90QoJTN+CnDO4HoU5VyAr310FKAGvvcTB3OnduOayxa9sWx++fdNmr99y+YA1336gydixqJxQgEOAO9/36cAAI3a0PdATKN+KHfTP919qPvGW32Mue0gtgER+IDry4LnpvpjIMFt0WTlWN1UmO43nwXs4wXuE8q1j/ELQ4tJGIAV1XjRYkq4QNRahxIhwU1VFzYRtuERqu9mCHzAMGQodL1hourlYBk+/veHhtHRMQldvecf+NAVq7/UcP3v9XS3n8gZi8YJB3g47Fw7hkdGbiXFNWTMMr/mFB/rtngFtmmAEI6Z08awf5Bi32gRsOUj3iKASQWMsDIsUZnY0SNatKYiR3JxJ8NVOYFBxtl2pDmgujGSg8j+9irRW3Ai33MKDg5CCKDagQcQoFRKfdMMMDgWYP8gRU+7hcAvAMJFqTQJX/nkpQdQOPt6gN/a1tZ+0ubspAEcANrKZRwYqt3y21dc5JcKpT+/+9/XdQSVg1g4V+A33lnBo7/k+Msf2Bj2CWwTcKiQLUkoEgpmxL2RDezYFn6MKqAO/FbvWxzf6psnBEzdSaWfLdO2efjfmEhG1vI4echVQOKW3YIAAZWAV19GAwFqeajUOb777wX89PkOXHWBgyWzHEztLaCt7cJDtHD+Fwkh/0xY6djm/BjHSQU4AHS359BoeLf9xrtOH3zj9T1zZ3TNuRnVp81lswrgYgh3PCwwcpAiz4Ack2lPUUgs0RcR9dRJ28IBHeRyZHHodHZ7U/x105MgtL+lDsr6/EQGaS2l09efHONG1KubSCQO1+IuAQhwENm0GBSgXJkXlUcTgAgYOA8zgADAwIEhhnX/1YZfbpiEKUWKef2rPJZ3r8t1nrdFkPyPKbNwssdJBzgA2LbJN2/efN9HP/Rua3D/lmptmP11tbGWHBobpXU4KFoUbRaHrdLeIk6YAjfTrSVAMyC0WI7wEa0vabBnSdeJsJejjZYdj4JM9AmUcFyR5jic+FxaPqY2l3LILmtRdzYosHMC4gv4AYVtckB4cPIBenosvnrVGaKje8Gnps1b9E+7XtvnzpnTcRSzcPzHWwLgANDf34/Xd290J/d03+YXG4/sPTDvqkde6P6T0aEqJpcClB1JTQIO1H0gCEgsVYnmulddxSJHjhasT3QXtsi+CcK6Ic1CWUC0gHZT0gDiG0SMc0uQpjfQzHLi8HdS+vPRXZJMPgjTAEGTcju8TgFVdJMQ6YKHBnZlkQo4RcOVZdYMIwDnBKW8i09d2Y1HX5n6RzOmz7mrq2vSrlc27HSXn3p8khWOxzghjp6Jjt6pC9AzZUbt6Y0vD5x2pn1TuX35V37t3HnBlDaGss0xqQyU80AjIKj5BL4q7h5W1DKYgEFljcRQmkcjkkTJeKDUkztTSEpPNWk6pin3scUJDid3SdZ6q6cQaX6bZRlK6x7JoLP4JpeOGgpfLQGn4JxENQ8Z5bBMHwYLMDxmYf8hB0MjFsaqJfjsrGDpwtO+svFQx0353AsDc+fOqr2VwA2cQEfPkYw7vn8fjK5PiD/5wtWPrL33+7bBcGajNmT0tAssmOmjQSvY8LoJg1DYhoDFAIvJ7BBTgTt8NOsVVQFE7n71tsnBETtpktuT20hiu6RErZ06Ua/MlKMn4aCh2Y6eVtuaa4drNcMpZB9NrQZ6XP87dhAJQWT5jkC9hnZvInsHmYzDtjwU8lU8uxl48oUyPC+Hjo52zJi7qjG1/4pvdPZe8Ic/++erxfIVHz7ZsMkcbxmKkh5/+L+uwKFDI6j7wQ0feP/FdOXy2Wf/1/qH6JI5+87u27LNeHLDVNSCAsoqHtkyANuU3k1A5v5x9fgNeBQiHTY7ASVabWzNGtIya76JpCMi8uNK6Iyd4zGPLKU4URZmnBPox8kbLs57jYLS1I2g9+7xfAbPlzNjGBxCvYIIWAaH69bxg3UU1UrRLxXbnly4/F18+vSZTxKIGxr1EdjOmxfueqzjLQtwAOjoiCbu+tE9t2PFb/SX9h7s+vvHN5gfoNylVc9F4BAYTII7Z8t6iIQA1bpAtSH9RYGKWYuKnkLjzSSmLSIEbBroaXNflL8YsxK9XLZIf3ACII/oQxMFEcn9rU6gjk20AIH+hBJRpzWqGgJQKhAEDHWXoVqXCSiWKYFumaqLGhooF8t4zwWz+LYDS+920fXR2368Y/TGz556suExofGWBrg+Sn0fxL79r452TnM+ff65p2z+5c4Xlmx7/dD7tg9sxZQSQ8FhKDgUjk1hGhTlYoAxz8f2QxS2QWAzATMMNaJSwgldik/A9x4rjuq9yoqJRTnR+HnahJg99GIBcZgpmmhUFCaVyGHNOmEY5aCnA8YLowKGEcBUy9ZRgT0HHXieAdMEcjaHEIBluCDFGortsxCg957VK8576Wxz6rchaqPz5y482XCY8HgL+usOP9a/uAWd7fmZ69Zv+dbLL29+32tbXgETY2grWSjmLZTyBL2TGhBsP/5+rYmNO9rRXRDIm1zVMUfC+8lI3K+SJfpepnvokARfZpRE2+O+mbInZrR/on0yCVRPy7CHkGh6paHnlsatWsIemZRKBZsxERVZCveFwVGyRo0P2/LRXqxiw2sN3Pofk0C9dkzpNFHMM+RtjrzjYUafjaVLZmLy1Dn32G2nfBb+2A5ivrUUyImMXxkJro+VS+di+57BHWvOXfbFGd3F28Q58z6zc8eW83e/tgUMY+gsM8yY4qN/Rg0v7qziuU0ldORULx9oCiiXK4QKaUHTBWMGh4iEvG6R0ahLOjb7sNYTknqvmfmSUYQiKelTlCmyCoUmRgJVe0YCO4zl5sqTRSlHIVfHMxsJHn7exqLJHAZxUakCfVPaMW/WqViwcO66Qrv1bas4+4XA9XcY9vST/bcf1fiVBDgAzOrrBIDNQojNAF76xROi9/TlC/9u756B/n27XmSm4YGSAKbqihUmSpiGlNgel8VnJLkgMmkWSPFWaBaHmLtzSIkbZ8TENvL0fTJhE6HuddWA3xwCi2REoNAycoRq4aqktaEaEwQBgecTMEFhUB5ZlbxA1iypuQG4MLHs1OXB0iULN1MEH+tfeNbrAAbIkQS5vAXHryzAw6H+gIGx0UMDnPNL8zlr6qJFy+9uDD5Q3rh7tPDAeoKiRWEzAcsUKNiSAgxWgJEGgUWBHBGIynpopja9GzIAhH0naRiJR/QeN/rS2imU/RuSHkig+QZLtAMEIuuNjPoT6qkiP02JBLdjyUJLw2MOKjUbjMlCS5bJUKk5uOT0UTwzQNBdXlC59jcvGOE8uHLGjOm7GaM7ftWBHc3tyb6A4zmCQIBS0Mpovc1hz63aeSD4h3/4wWv+L57a1lkdPlAqWD46CkB3O8OkSXU8usHD5l0lTC0KFB0O24TqShFz8XBwHvskicbTGSWKR2t8W+tTz0L+zbR1xcENhijEQG5TrTzCnvVMSWLVuz60fsiY7fjaKBUwmDTpWSaHbfso5lx0lSsYeL2BJ37ZjUnFEiZ3BpjU7qKt5KOrqzRqFvsHtx9aarz+hvORy85b+FS+UBgGwN8u4AbeBhJcH0zSES74wCGQ3rV2rjL/a3/xzcaz933zC2t/+vSHNm3a4hWs+sIZk6lz9pJRLFmwH5/7axs+N6OsoHAxDQlEIaSZkatEAEB6vEMJG/cHQ/ROL4eR9p7qkjm53lwBl0Dre8QEmEq3C7isG+OrcAXK5LEBJQg4AQ+kyc8XdfzVj0zseZ3h11bl0dVp1J0C3dDeM9PsnrHqtlee/PU/7Zz7r3au2FnftOsgX77o6AvNv1XH2wrg4SB0PiCpcvXFDTtgmsbNhsFuvvicxayrs/TXpZw7v6fw4rlV4bH2gomiCRjUByUMhBIYjMAyCUwme0tW6xyeL9siAoDBZI4L1SS8rgBKUMcNn0LYRvZ3EXN63RsZWRtFHM5KlHXFVMVLCQDfZ3A9grorkxFMQ3YmE4LA8wQ8T8AyLTi2A9MuY9ni+cHpZ8x7fHpvfkAEo9eCjgWU5XDK6ntFoW129WT/X2/meFsCXB9LF84EYgHr1yrDHxUk32Fi0VcHPWLN7BsLFk4unJ63ccbAtv0YHR2DUaAoF2zkHQZGCUzDw4ERjkqdIG8J2KYAIwSGAmnUphuh0idAuDQVhh7UzKe+5manmgOKC4BwQChaYlAhqYcVIG/7GKsxvHYwj+FR6ZHNOwCFD9vwYObyCMgUeIQ/58N8/sxlM9hll1zhzp815ctj1fqhSZ1tJ/svOaHj7UO2jnI8um4dCCHnV6vumu27h6+sVqsLiGhgcP92lPICjDRQKhzCM1sq+On6dnQ4BtryHHmboGAT5BwC26IwGAHnslOBgLS1myaFZVCYJoVhUFVvUUpswwAsU3pgTUMGiAmhQgw4gcEEHIsjn+MoOgHyOQ9tRRe2NYL7nxJ47uUu9JQdtJdz6O60cNqy2ejqMGHbzsbResfdgjgPAmLdyjNXn+wpPqnjbS/BDzcuOP98AFi3b//gutNOw2Oe788dHhrkD60d5LNmdM7u7Oj8ko1N6JtdwUs7xrBr5xgCXwBFwDFNEMJgmwQ5m6Ha4BgeU824bArGVJQqJZG50vUFArVNSn/ZRs+xOYQQ2D9I5ZPCkYqo4BwQddhGHTmrhoAVUCOzMKknj9Wnz8ChQ4du4t7Itv5Fq2lXRxulzNgCYK2T7zzZU/uWGP/tAR6OyT2dALA2XB8cPAjTtNoPHtj7ZGWQwy5Xvd+5outzdRfvNBmHwwI8+9zzILyGjnYLU7oIfNHAT5720Kh4mNxGILjsUGObQN4JQOBj7+4AEAydbQYcUxXdERxtBRdgHC9sK8L3DFiWAUo5ym1tmLdwGUp5DtPk8ALy0Izp9T/vm2SbZ56xGL19vesajcZQd3f3yZ7Ct+T4/wBvMTo7JwHAEIB7AWD7jtdxaQ821BrBZEBwEXgYGBhAo+rBcSy0FQWIOeKtOnPVjV5t7D1tju8BBJZFUS4Y6OkUYKyGIAcwWOhuZygXCRxLgHOB3m5htrcZ9//bwy/c2Fl0TEIlwB2niJ6+pXAsCkJAA2Ht++B7xLZiue9kT9GvxPhvz8GP57jz3scBQiYPHtzbljM8IThgmBSlgoGedg5m1vDcRgKDWOhuYygVCWxD8vaeLkJ6p3QNA2JfZ99FJ/unvG3G/wMRM9bBraHhvAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjo1NTowOSswMDowMMA0dqoAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6NTU6MDkrMDA6MDCxac4WAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72518101
{'hecke_orbit_code': 400820366869538278, 'n': 1, 'trace_an': 2}
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id: 72518102
{'hecke_orbit_code': 400820366869538278, 'n': 2, 'trace_an': 2}
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id: 72518103
{'hecke_orbit_code': 400820366869538278, 'n': 3, 'trace_an': 0}
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id: 72518104
{'hecke_orbit_code': 400820366869538278, 'n': 4, 'trace_an': 2}
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id: 72518105
{'hecke_orbit_code': 400820366869538278, 'n': 5, 'trace_an': 0}
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id: 72518106
{'hecke_orbit_code': 400820366869538278, 'n': 6, 'trace_an': 0}
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id: 72518107
{'hecke_orbit_code': 400820366869538278, 'n': 7, 'trace_an': 0}
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id: 72518108
{'hecke_orbit_code': 400820366869538278, 'n': 8, 'trace_an': 2}
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id: 72518109
{'hecke_orbit_code': 400820366869538278, 'n': 9, 'trace_an': 0}
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id: 72518110
{'hecke_orbit_code': 400820366869538278, 'n': 10, 'trace_an': 0}
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id: 72518111
{'hecke_orbit_code': 400820366869538278, 'n': 11, 'trace_an': -2}
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id: 72518112
{'hecke_orbit_code': 400820366869538278, 'n': 12, 'trace_an': 0}
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