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mf_newforms • Show schema
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{'Nk2': 6336, 'analytic_conductor': 12.648303680170812, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1584, 2, [991, 1189, 353, 145], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 287, 'dim': 8, 'field_disc': 1768034304, 'field_disc_factorization': [[2, 12], [3, 4], [73, 2]], 'field_poly': [9, 18, 51, -18, 34, -2, 9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [144, 0, 528, 0, 220, 0, 28, 0, 1]], [23, [108, 216, -26, -8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446727216, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2304, 'hecke_ring_index_factorization': [[2, 8], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6336, 'analytic_conductor': 12.648303680170812, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1584, 2, [991, 1189, 353, 145], [1, 2, 1, 2]], 'conrey_index': 287, 'cusp_dim': 264, 'dim': 20, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 23], 'hecke_orbit_code': 206191986224, 'hecke_orbit_dims': [2, 2, 8, 8], 'label': '1584.2.d', 'level': 1584, '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, 11], 'level_radical': 66, 'mf_dim': 312, 'mf_new_dim': 20, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 20, 'sturm_bound': 576, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40736013
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446727216, 'target_is_minimal': True, 'target_label': '1584.2.d.c.287.1', 'target_level': 1584, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40736014
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511005074097712, 'target_is_minimal': True, 'target_label': '1584.2.d.d.287.8', 'target_level': 1584, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40736015
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097712, 'target_is_minimal': True, 'target_label': '1584.2.d.d.287.1', 'target_level': 1584, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40736016
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 3455, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007405446731968, 'target_is_minimal': False, 'target_label': '6336.2.d.c.3455.8', 'target_level': 6336, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40736017
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 3455, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014604701472960, 'target_is_minimal': False, 'target_label': '6336.2.d.e.3455.8', 'target_level': 6336, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40736018
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007405446727216, 'target_is_minimal': True, 'target_label': '1584.2.d.c.287.8', 'target_level': 1584, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40736019
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 3455, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446731968, 'target_is_minimal': False, 'target_label': '6336.2.d.c.3455.1', 'target_level': 6336, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40736020
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 287, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007405446727216, 'source_is_minimal': True, 'source_label': '1584.2.d.c.287.1', 'source_level': 1584, 'target_conrey_index': 3455, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701472960, 'target_is_minimal': False, 'target_label': '6336.2.d.e.3455.1', 'target_level': 6336, 'twist_class_label': '1584.2.d.c.287.1', 'twist_class_level': 1584, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2054975
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007405446727216, 'p': 2}
-
id: 2054976
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007405446727216, 'p': 3}
-
id: 2054977
{'charpoly_factorization': [[[144, 0, 528, 0, 220, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 5}
-
id: 2054978
{'charpoly_factorization': [[[144, 0, 528, 0, 220, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 7}
-
id: 2054979
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 9007405446727216, 'p': 11}
-
id: 2054980
{'charpoly_factorization': [[[-180, -192, -38, 4, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 13}
-
id: 2054981
{'charpoly_factorization': [[[57600, 0, 28032, 0, 2608, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 17}
-
id: 2054982
{'charpoly_factorization': [[[318096, 0, 65472, 0, 4312, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 19}
-
id: 2054983
{'charpoly_factorization': [[[108, 216, -26, -8, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 23}
-
id: 2054984
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 9007405446727216, 'p': 29}
-
id: 2054985
{'charpoly_factorization': [[[2304, 0, 2688, 0, 880, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 31}
-
id: 2054986
{'charpoly_factorization': [[[1200, 240, -92, -4, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 37}
-
id: 2054987
{'charpoly_factorization': [[[2304, 0, 2688, 0, 880, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 41}
-
id: 2054988
{'charpoly_factorization': [[[2624400, 0, 451008, 0, 18072, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 43}
-
id: 2054989
{'charpoly_factorization': [[[5868, -552, -146, 8, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 47}
-
id: 2054990
{'charpoly_factorization': [[[3027600, 0, 369168, 0, 14812, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 53}
-
id: 2054991
{'charpoly_factorization': [[[-2880, -1344, -128, 8, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 59}
-
id: 2054992
{'charpoly_factorization': [[[-20, 48, 10, -12, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 61}
-
id: 2054993
{'charpoly_factorization': [[[3600, 0, 168, 0, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 67}
-
id: 2054994
{'charpoly_factorization': [[[108, 216, -26, -8, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 71}
-
id: 2054995
{'charpoly_factorization': [[[-752, 768, -152, 0, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 73}
-
id: 2054996
{'charpoly_factorization': [[[944784, 0, 1411344, 0, 39132, 0, 348, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 79}
-
id: 2054997
{'charpoly_factorization': [[[-2160, -432, 76, 20, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 83}
-
id: 2054998
{'charpoly_factorization': [[[266256, 0, 144672, 0, 15640, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 9007405446727216, 'p': 89}
-
id: 2054999
{'charpoly_factorization': [[[16, -144, -20, 12, 1], 2]], 'hecke_orbit_code': 9007405446727216, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '1584.2.d.c', 'level': 1584, 'portrait': 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YjTgMWOZDDyCTyBMJq5Kc26yZSlTkhnIBgmPst9wcZJzWJbc/ycouYHbJyBrXMRG2aHrJ8dsXF2xNYNhu0bFZdt86mrJkeOT/CNJwMe3p/w+LGYVHV544vbvPWFhrqaZf+xKY6c9jh1PuWsA/fBBcP1V8zzi+9aZtu6SU6fn+L8co3Fts9SW7LcTen2UnpDwf6jCxw40b7ssQPnX3Lk5LmdR0+fv+WmV789uvvWTzzXkPiWbn+rGXxpuU0UGZTiPXc9cviFP/ebn5TvuPnAC//1W09588sbWGpPsNhusNgOWGx7LLZhqZ2y1I5ZXEk5uwKHFgVz61b4Tz+wyA0XNzhxbobT55ucXvA4t2g4u5Bwcj7lfDdhambIi67q8YJLIZB1QhVybqnGmQWPs0uC/giSRFMLNM1ayvRkggaOnU3o9GDHBp9mfYQxAkRAb6DZvnHE4ooHxkqRlR6MEjAYltoRW9b7dAcKoQxCj5io+WzfNGSlLzh22iPVHrMTklZNEPqQJIL+SHJ2SXJm0XBuOSEMh+An3HR5jxdeIZibqLO4PMGJcyGnF+DcQsK5pYRTS3Bo0XDd5Qv88g8ss3FqguNnZzi7WGd+OWChLVlaSVnuxCx3Upa6moWu5EQHVpY6/Ma/jpK//5r6PcG6H9NB47J7JPrnUnzC2sRzDZVnvP2tZfAP/eEneeFN1/Jv/+2//ZWPffJr//oDf/yVC/ccb+88eKovX3Rljws2p6TawxiFMZa9MRKQgEAIgycMgYTTi3XuPyi5avcSl24b0qiB70kCXxEEHs26pOFL+j2ffUdrfPnhgGPnR3SSmH0nRmyYXeJNL1rmqgu7XHdpm6MLCQt9QSMccvi0od1pcuUFkpVhyp6jilbD46ljcNFmwzBKGaYBnhcz3YK9J0KUl+LLBM+HwUhyw6V9Bn3JVRemdAYpx0632LVR0WxErIwM66f6LPc6/OnX4NEjKY8fGbJj8yJXX9JheibiDTd1+Z6XGnZvbJHGUxw5Ncmhkz4nzmpOno85eT7l0HnB8ZWY5108z3/6gS4bpqY4cXaGc4sN5lcCFtuS5XZKuxuz0ktZ7hmWeoJzfcVyJ+H6Sxd495vPy7rHzvNnj+0aDJIbw4kL6vXG9Fce/sZn+N0P/PFzDZk1b38rGfzjH/8LnnfZFvX1+w/+hyPHzv7CQ08cVWeXIhaHitN9w1U7zvEbPzHPNbsbnFucZrHdYKldY6nts9TxWO7CcjtluZOw1E1YaMOJZYFXH3LzFUt870sjdq1vstKb4PxSnfmlgIW2YKltJcJyV9MZaDojQ3+YMDsRs32DBgShbzh53kfIkB3rFbs2Gzav73NuecRjB1o8/yJDo77MkwdnaDUjoshndlozGMJl24d87GtTXLItYTQyrJuUxOmAVi3kqaND6n6Tay5OePxwxLnFgC2zIbs2wfaNEUrFnFyAwDcIYdixIWG6JekOQnp9n07fZ6mjWFqBxbZmqZ2y0E4524bFYcr2LT2+92UL3HypR82f4MzCBAvLNRZWPJY6guW2ZqUbs9xNWekZFntwtqs4t5JwwyVnee9PLHLRliaL7QmWOzV6wwlU7aI0qG/8laG84Jd9fTp9ycu/+7mGzqrb3yqA79u/n1qtVj996uT2Rx996p2Hj536z/sOnmQQSXpDWBlYRjndTbjugrP8t59Y4uoL6pxfnmZxpcFyp8ZSx2e547HcgXZXs9JNWO4mLHUM59qC0z0DosdbX9zmDTdoLthUI4oaLLdrrPQC2l3Fck/Q7QuGI0OUGNIUlDSEPtRDw9SEYf1MjOcPOXQm4omDITpp8robIzx/hYf2TLJzE3zx/oQXXxlyvj2g5imSNGZmGpLYx/MTFhcbvOjaDl+8t8WuTfDggRE+DV57gyYRA544lHLkZA1PBmyY9phuCuqhIAgESkCiIYoNwwi6fcNKT9Pta1b6msWeYZCm7Nja5w0vaPPWF0agWyyuTHJ+qW71dsdjuQ0r3ZR2L2HFgXupD2c6ivlOynUXn+O9P3Gey3fUmV+eYqXboN0L6fR8VrqCoLGVWnPDv9+85bI/27ply/HhaDi46OKLn2so5be/NQA/dvQgc+vnggP7D/7Q/gMH3vfQQ4+KhaWeHI40vaGmOzR0B7AykJwfSM50Y2648Dy/9qOLXHthjYWVKRZXmix3Qla6Actdj5WuoN01tHspK92Edk+z3DOc7wrOtDXTU31efV2Xmy5N2LFBMVH36XRrhL4EFFEi0VqgDfSHgNBMt4YcOGXQJuK2B5uM+nUu3BJw81V9Yr3CHQ9Pcc1FPgfO9mgvT/CCq/p85aGQDTOGPccM//QtHfYcDdkwI/nyw4qbL1Ms9TscPjHDNRdH3PHEgGTU4KbLA3ZvGzJIetz6kIJUcOikx0TDwxPQH0i0EaTaECeA1HiBpt0zNFsx2zaNeOFlfV79/ITZZo1zS5MsrtSt49T1WO4I2j1odxPavYR2L6XdNyz1JWe7goVuwo2XzPMrPzrP1btqzK9MstJt0OmFdPo+3b5Ht6/oDgRxWtO7L7rK7Ny1+927dl/w4cWFhejSSy55riEF/C0BeJLEMhoN3vTgfV+6sNtL3nv//Q/5wwiGkWEwTOkPU3pDTW9o6A4E7YHg/EByup1w02Xnec+PzvP83QErnUnml1u0ezVWugErPY92V9HuQ7dn6PQTOr2U3kDT7hvme4L5HsTpiKsvGrBxJqXXN7z+BSN2btQkqcSThiiG2x+rcfx8jU3TCU8eqoFucOlWxbWXaMJan4cO9JlfaHLFziYTU8vc+7jP9RfVWOyvsLw8wcaNhvv3KP7BK3o8sMdj63qfhV6b5aUZrr2sz71PpszUp7jiwh7n223uf3qKutfkuksMF28fguzx2BHB+pmYc/MxdzzmM4wVUkKqDTs3Rbz6BRHdnmLztObaiyCKGiy1Gyy1Q1Z6Pp2+ot2TdHrQ6ad0eindfkqnr1npG5YGklMdQXsw4uaL5/nlH1nmuovsxdHu1un0Q7p9n+7Ao9NX9IaS/kDQ7af0BwnPu/a6WBv10+9423cdbDbrn/N9Xz/X2HrOM5mjUZ84HvzAiSMP/cb8mf0zZ88t02pIlLKBIvZ/7mYtQCEMUhqk9Hhg/wZ+7oMeb7l5ie97xRK7tkScXZwgDOrUw4BG6NOse3TrktbAZ7Lp2QtmkLJhpBmMDN1hyNJ8jZMnDFGiOXU2IQwNIAiUwZOC/kAh8En6Hs/bKdi92bB9S59R2uVLDyj2HpzmNc8PufayZT7yJUMgGuzc0ufxexVbphTrJvrUVJ0o9jnfhWbNY+sGwaN7I669uM5Lr1ngDz4/IPBbvOpGgx/2+er9EV+8r8nTR+pcsLnBzk0pc9MRu9bFXLkzRSmNpwxgaIQhc1MhUezT7Qc8ecC3JQoDC8TeAHpDQ69vv3t3kNIbGDoDw8oA5vuKc8uGxmSbn3rdPN9984irL2hyZmGCdq9GNwe3ojdQ9IeSwVAwGFkCiBK48+4H/ImJ2d9Yv/6BpZe95IZ/1en1/2Ci2XhO8fWcAjyOeiD4kdNH733P4T1fmxn1u9TDAOOcEIMAFAi71AgBUthOGiUNSqYEUvL4gTke2d/kwOnzvOWFPV54+ZCp1gRL7QbNTo2JQUCv79mTM5QMhh79kcdwZBhGmig2xLEhSe09SgKMBqkEvieoBYKplmC6BRvXabZu6LNuus0tD8Gdj/hIPclrnu/zvEu73P10TDSc4ObnCdqDAecXm9x0sWbdVJ+6FzJMFPOdGKUFz7vYo9Ea8fC+Gi+5dpIXXN3l4X0KzCTPvzzgh9+4xFcejfjyA032HK+xfU6xcabOdKvBZAvqIfieQUnQBvYcEaSpIE4EUQKjGPsdRymDkWY40vSHmv5I0xtAZwTzPcn5Loz0kFdes8SbXtjm779KkyQTnF1o0unV6A4CegOf3kDRHSj6Q0HfgXsw1AxGKaNIMxhpzi+e5vSffWmmN0z+63e/4aVep9v/4ETruQP5cwbwaLSIEOkPz5+84z3njn5lvaRHsxEiR3ZVEwBCIhAIoRBCICUO3KCUwVMGX2nqvmChX+fjX9vKVx/p8OIrV3jXK1e4cleP2akGiysNuoOQ/sB3wFb2HglGsSROBElil3rjlgslDZ4HtQAadc1MK2bL+j4JPQ6civnTO2ocPtFkKqxz/eUeN13V4f79bW77xgQ3XlRj+6Y+H/uaQImQiVbMSm+ENqAEzE306XQDdFLnTS8+z8e/2GD3uRpvuLFPFC9yxxOzxGmNGy5fzxuu73DRtjZffbjP4ycaPHYkYOuMZGZC0AgFgW8vQilACIM2oLUhTtzFGhtGsb2QhxEMIugOBcsjwVIXhDfkmktWeNerV3jx5SmzE3WWOw3a3Trdfkhv6NMbFCtBfyQZDKHvLpzhMGUQaYYjwyiCxChOn2vzBx//8vr+iPd8zxtfZM6cW/r9TRtm/u8A+BMP/iqX7d5Jd/5TP5hE/fd2zj29TtGlWQsRInG87SGERbkQEiEEQkiU9JAyRSnhlmeNrwyhZ6h7guWhYrE9zSdub3Lfkz1uvnqFd71qhWt2t5lN6yRJSH9YozfwGYw8olgRJ5IklaRaoI2wWVBhCANNo5YQBhGBP+LU4ojPPyg5eDLgyMlplA7ZvSngsl2K51/aQYXzPHGoxZapBldcABvnllnqTHDlFkmiDbc8EDLqS6aaCa+9Ycjn7og5frbFJRf6nFkZ8tRhn20bprl61zx3P97l3qcEoyjg0l0zXLot5NKtXQ6dWeLgKXhgb4MDh5s0PEHoSZqhoeaDlJYYjLEXa5Ja6RClgt5I0BkKOjFEOkGbIddd1OFdr+7w4itTNs2EDIeTLLZrdHshvWFAf+DRGyr6Q8VgJBgMJYOR7RsdjlLr8Y8suAeRZhhZRydKFfNnOvzen3x9/YMH5t87MdlM/vl7b/vI+sZefvGn/unfXYB/37/4X1x53Rf56pf5+7vXH/7Nljo55cuQZr2GdGdHCoMQONbGsrUUKCXwlHKPGk+l+J4g8DSBbwh9QyNImaoJuiOf5c40n7xzgq89NmTDdJ93vqzNpduGDAc9rthl2LZRMYp90rRI8wsMUmp8L+XYOcORs4KVgeazdzc4tTCNiXyma4rNsx47NnpcsAWu2N1BywXe/7kmS0uT3HipxxW723z1MYFIfNZPS5qNhH4cII0EI1FeQHsoOLckuNw0eNnzu9zzcJ3N6wJuvGKGf/zGBT78xS4P7GvSG/osrrTYtbnOJZv63HBxl7e9pMvppSU+e3fIYj/k2BmfU6cCfCWQ0q562hhSDbE2pIlmejbmqsv7jEYxl24b8faXjVg/qZhphcRxjTPzNfqDgP7IrnKDHNjSgnskGI6wK8EoZRhpRlFqJVBsHMhhEAv6kWCQepw63eGxP7933auum/7Nt7xuNv6Jf7Dxj03yKwjvF/7uAfzHf/mP+cl/8/3iu35CvqPGUx/4odc/2XjNDT7agEA6UBcAl8IgpZUKUkqUlHhK4Cn36Al8LyXwBIGvqfmGemxoRIbJWsp0XdCPJN2oyZGTTX7tj2dAJ4gk4flX9dm1MSJJQBuNMTaJI4VAKoHnB+w7HrDnYI1mzaMVSNY1BHOzkvUzHpvnFDs2pVyyY4VULPJbn5rg2PEpbrzY59KdKYOkyzeeCJmq+8xOGqZaEY26lUJaS9pDxVLPsNhOaffqvOiKFR7c02fvccXURI0bLp/iR9+0yG9/Gh4+2KQ3MKx0Pc4tTbBxXYP100N2zA75t+/oM9Fo8/gR2HdC4vsGpQxCaLLo3BhIEti5MeXmKxPS2CdOQoxpMIx8zi4EDEZ2RRtGKpdvg0gwHAmGkWXtUWSzsqORZhRphrF275mcuQexYBALupFgORZ0Y03aHZD2D0+95Mq5D5h4V/LEX/7rT3RPTZrWln/2dwfg7/6VP2Xrpln133/lo289v7T0kfseOF/rdSfYvqHDpdt6SGlPihAaKUKkNCjpo5RBSYVSyultie9ZzRn4ipEvGUWaMEoZxYZ6rBnFmigyTCQwijWjBKJEMIwlozQkTmvsPdjksb2QGoOFttXGvoRA2ZqPVghXbIKJOkw2JdMtxeyUx/oZ2L5xxKa5FWKzxG99apJDhye59gLFBVslu7cu8/WnEs4tTvL8XZLpCU0tGBDKEKMESSoRxpCkEcu9GucWfa69tM7zLu5y98M1NkwLGrUW116s+am3LvKbn9Y8darFSk+z0lXML3usm2oyPVFnemKSiUbMXDNmx7URoZ/gewlKpUhhgwmDvajiWHF+3iNOFHGiiGLFKHaPkWQUS0aRZBhJRpGwAWokGEWGUWSP6yhKiSKn6WP7/jCCYSwYxtDPwS3pRQl62Od5u5f559+3wkVT5xqdE/WPbH/++3XCrk8tH/+ddHr7P/nOB/gv/fePM9MK1OFTp99+5OiZP3jo6dM1mjN88X4fz5P88o+ucNm2LkqmSKUtuJWPUto+SoOvDL6n8D2DH0kCX9iT4AtGgSKKLdDj2BAlqXVFktI9hSQ1pKkm1Vi9rcnBnUkhT4LvQ+gJaqGgEUqaDcVkQzI9KVg/k7BjY59Wc4VP3RNxxxMzrCxMcNV2xY5NPhdtG5KKFW55oEHT95ibVrQaQ544BE8f9rhym6E/Ulx9UcxVuw1nz6TMLwcMhg1ed32Xux4fcOCUolmXhMEEV16g+eUfXOT2pwZ87vZ1LHYMO9anLLc9piYUk02fVsOnWTfUQk0YaEIvxVNWaknXWmkMNmGlBYmWJKkgSQRxIokSQRxLRrF1XqJYEMWGKIJRnBLFmqhEHKO4fLfgHjhwd2JJO4b+KEbGPa7ducwv/dgSr79R0+1PMRgeqRE0P2q8+j9Kxfo/P7HvD9Jtl/yj72yAK7ScX2x/37Ejp37nwP7jtcmGRydRxELyl/cqopHi7S/v8I5X9pieSOlKjSdTp7OtHvY9Dz/2CD3F0LdMM/IlUSCIYmFPTqyIE4hiaR2EpLD9klSTptZdSI1zSpxbkrkzSlrZE3iCMJDUQkmzLphoGKZamg0zI+amuyRmhU/cJfnwF2dZX6tx1XbB9k0+Ozdrdmxa5lPfMCwt1bh0o2J6AlqNmHNHJeeXQ4JdMIoFc5OSqSk4cMSw3NGcXahx0c4ar3h+l8/fWWO2BWEQoOQUV+4W/NgbzuPL8/zl3dM8farGhk7M+qmEyaaiVVc06pJ66BEGEPrgedZhkgKkKIEce2GnGtJUkKQ4oEOcGqIE4ji1pBBrouwx1s52zFwZZ0EmVpL0YkEnkXRjTTSMmAw7fO/rFnnHy3q86lro9FoMRiFRHDDsHquJsP6BoB54Qvh/guWZ70yAv//DnyZJ9Q/eed/h/3bw4ImJmbpikBiUEHSEz0i0uOUBj288VePM8iL/9G19picSRmGNTr+GpwJ8z8f3fIIoJfI9gshKkyi2qXTLOMIykWOlJIE4hTS1ToLWNuDS2mQ9nA7cFuA2cBX4ngVILYRGTdOqJ0y1EuamBqybXuGevREfva3OviNT7Jz02b0Rtm4M2LoBLtneoZ90uH/PBHXlMzetmGrBVGvE9GRCEHgIYS+uwShgqROz0je0ewnnlwO2b2zxgkvPc9sDffadmqARxvgqQIhJdm9R/MNXLXDdJef56G0t7n9yisWex/qJhKlGQqMmqdcUoS8IfYnv21hFKZx9aFFusD2sWpMDPUm1W92ctZhoktSCO4khSkxxdwmdYWJJpR8LOomgm8BwmKCTAbP1Du/+niX+zff3aIQB7W6dURQyigJGsU8U+Qy7JybChvdbrdmrgoNPfvrDF175lu88gC8tt1FS/cjvfviT7zlx4uRsPRR4qWUVJcBzIB9IycrI47/9mc+eQ8u86SU9XnZNlw3rIrqdOoNRSOAnhIHPKPIIA2vvZQCPY0mU2GU3TpynneKsPxxzS7ShALdNUjrmBk/ZhEngG2qBpl5LaNUSpidGbFrX4Vy7z/s+63PLgzMsLTe5cE6wfb1gy/qAresFuzYP8YIVPn6Hx+ETTS7eIJluSSabKVKOODVvCD2JFGCMIIo9dqzv8AApnb5iuWM4t1Tn4q013vayNn/+1YCj50J8L0YIH22axInk+buW2fH9HW55uM/HbpnhoaNNtkwL1jVTmrWUWiAIfUHg21jFU9jAWYq8JsNgLzJtsE5LagGfgTxJraSzYIcotbUuUZY8SgSDBLqJpJvAINKk/RFb13V56bXLvPklfV5/vcYTDZZXaozikCjyiWKfKPaInP7vLZyZVbXd773keW9Tw0Hng7X630xN+d8IwJeW2wSB/4+/cMsd73n0safWB55BSoFKHMClQUmBLwU9KenKGu3I4+Nfr3H7412uvbTD97+qzxtubDM7FTIYhgxGAaHvEyX2QGWBUpIo4lSSJJI4FSSJJE0FqRaF1taCXJWYzK2xySLlkkWBrwmDlHqY0KqPWDfVYxAP+OoThj/9+iT3PznFdOBz5RbDphnJhtmAzXOSrRsiLtiyzONHB3z2rjkmlcfcpGCiKZhoxLT7KV/8Ro1WYN0hbWAw8njTzSO+cJ+tiWn3NOeXPbaub/GWF/a4f2+XPQcCmmGCksKCXDcYRlbr/8NXtLl403k+fnuHe5+e4vhynY0TgsmaoRFoap4m8MFTAiVxCTL7vbPyI+2kmtbFCpc4oFuCgDgVxKkDdioYJoJ+Iuil2JgnimjW+7zlNUt836s6PP/ilA3TPoNhk04vIIoDRlFxzqLYBruWoAQnj+9d79fvec/uS1+sB/32h+qNb/9YuW8rwJeXV+h2eyjBD3zlq3f++he+9JXZ9soKtUAR5+xtU8tSgCcgkBBK6Eqfvq842Qk5fV+D+57o8edXdXn7Kwa89uYhM1MB0ShklFg2iBOP2AE9SRVJ6hI2aQFwbRxz66KmTDgbUklbx+F5msBPCYOYehjRqg9IGfCVhyV//LUpnjwyiYhDdk4bNk0Z1k0p5mYCNq6TbJ6L2b6xw4n5Lr/7uSbJqM7WrYKplsdEEyYaMcKP6AyaTLUMQgiMgTiRzISKRCd044BuP2W5ozg1X+fyC1r8+Het8N4/CTk238RTsbswPJKkxjCSbJwNef6FHa66oMdTx07xp1+vc9tDU5xu12mGilYATd8QeAZfgSftMReiWl2nAaPtRZdqQWogSYX1z1NBlNok0SAVDFIYJIYkSdDxiNnagNe9coV3vrLLi6+Mmaz7RHGT5XbIKA6IE8+xtnLPFVGiihU3kYz6bZ589Pb1caJ+fffFNyQL50//Ya3RpNn89gH92wrwfn9Aq9V88zfuf+i3b73tqxP9Xod6zSNJDMItk5m/LYU98F5qi5kCpamngr4K6Cce50c1/vK+Jnc82eeGL/f4Z9/T5bLtHdZPKSYaHlEcECU+SVKAPM0AriXaSIyxksDkAaVL9Stjg1gvIQwSfBXRGcTMd2L+56dqHDk/zcN7pjA6YLYuWL/OsG5SMDuhmJ3y2TAr2TibsGWuz+zUMrc8onno6Smu2iqYbklaDclEQ9OsRwh/RBh6eMr+fWMgTSWDkcdgGJNoQXeg6fYMSx2fs4sT3HRJjxdcvsLHv1yjvqTwZGwBaTySNCCKbY/nuqka1+3ucd2FPR546WmOzUs+etsU51canFwMCZSk6QuCTIZJSzI5kWdSBcvkiREkGmItGKUwTCDSBtIEkhipRmyeHnDVDns+rr8sZaLukSRN2l0L7MQB266wnpONBbjjVLpHuzp0V7o8eP/ts4n2fvuSy65ZHo0Gn/12YvLbBvADBw6wefNG9Ycf/ZML9+47MNHttqmHHklqUAJkatk7Tq1UUdLgpeClAl8ZgsRQSwUNJRgoQd8LGaQ+i1Gd2x6a5J6nBzTDEf/o9W22zibs3Dzgpiu6eMK2iAlh5YrNStpaaWNKzI1BSIMS1jM3JCATnjoieXCvx+fvb/HU8RZR0qDlKebqhpmmYbphrA8+4TEz6TE7Jdg4k7B5bsCmuWXueHLE+z+/nk1THnMTMNFUTDQFrUZCPRxxz37FMPLwmxZUxgiiRFLzFNdcPOC+J6Zs4dMgZaXjs7AScm5hmh9/wzlOLixy36Nz+BIQMRpyAI0iSW/gMd2qMTXR5AUX93npVX2+/+Xz7D2h+cL9Ne7fW2f/4SaJ8BiNFP1YofLSh3Lg6XICRpNog9EaX6RMBhE1Yl5wbY9dm4ZsXRfzrteOqAeSZt0nihq0u4FbST1HOCr32u1drr7nNqUgSQXdXpvHHr57YnH+7IWvet3b1dEjh9Kdu3b/7QH43j1PMzs9FTzy8IM/pKT+b532ErXQJ9WmyFBKq8OltIytEqxESA1eAr4U+NoQpoaaEjRSwUjDMPUZpD79tEa3m/LrH5/GJDEb5oZcvn3I7GTC218xYPv6iDgWTm9LKDE3+WfQCCn45O11Hj/URHgex043OHWuQa2umAwFU03DRE0zUYNWXTDZUEy0FNMtj9kpWDeVsGF2yJb1HVKzwifvmmDQa3LRVsNEQ9FqSFp1TauW4PsRt9xXY9SX+Ottt2gmUZp1xetuGHDnI5reSNIbpHT6Hitdj7OLDS7b1eLtL+7w8FMNji21UFIDsdPLPnGqGMU2MdMberR7Aa16g2Z9xGVbh9x4yZAT59scPbOC56c8dtjjz7/eQChbuMb4/EGjAQ3GEEcpOzYkvPMVA9ZNpFyyw7BhFtLEZxS1SBKf5Y5PEivi1HNxkAV0BnAbE0lX61M2AAojIE5s9WNqPM6dX2JqNvlvjzzyUH/7jp0f3rdvT3TJJZf97QD4yZMnmZ+fv/j06VPve/TRh2TgS5S0EbkUlq0TaRy4IXEp+EQLvMTqxDg1+KnVgKFnqKWGJBVE2hClgpGWjFJJpH1iDfO9Cb7+uMaQ8pn77cgGjHb3LIvnLDKRVSRKpFIksYfUHr4naYWwa87Q9DWNUNMIoREKmnVJq27l0GRLMj0Bs5MJc9MjNs91SVnmf/5FjbufWM/uWZhuOPZuSFr1hEY9otkYUK83CJU9HkLYYFdriGOf4UAwGKV0R8p2LQ20bZlrBpw8N8mLLh/xU+84x2/8ucfxlRAhNMbE6NQQJz5RLBmObBlra+DRrAU06jUaYYNaGNOqRzz/oojAj7n+ooR3vbKPpxKXBNK23r4syp2k01oihCT0FRAwHHksLnu2bifNYh53T2QRA7nCtQzcGbCzxFLiZEnx2p7vxLk299//gNRGvm80HN41HA2f/HZg8/8Y4Lfd8hkmWl790OFDb92376DwPTs9KpHasXYBbqVsAkYqg0pBpVYbJil4qe19TLKIPnVRfRbZa1G81oJISxIjSbVHrENSZ3uVb3mW0tmSngRfQa1uqHmGmkoJfQg9qAWGeiioB5JGXdKoeRbgTcFUSzMzkTA7NWL9TI/N6xd5/+c1H7ttA9umFOtamommotVQNBvQqKe06jFnFjWHzoTUAntBQ1bpJxhGHrs2ajauG9IZBgyGxrG4ZKXr0arXaDWmeNcrz3P4zFk+8NkteNLDoEl1SqINceIxihSDyBZF9WuSxtCjHvrUw5R218YYgZ/ahJmf4knbKCFl6up+TKmxxJZwWpAL2tpVWWob16SpRGtJoot4xwI0C/Cz56VHx9IFuG2SKU4FaZrlKyzQtRE8/vjjot3pv3Xr1h2H/uIvPjV429ve+twCvNn0gvbK+Z/tts/9rGAkw0CSpiCkzAEupSGVhlS7Wu5UkDp5kmjw3JdMs+SDNu61yd8rnheVctbLFXmgVNbcgMvkGRfQajyJq2kBXwl8z1jf2BPUQkktkNRDRb2maNUlrYZhspky1UqYmRixbrrP9g2L3L9/xMdv38x0LWRDSzPREBbcdUmzpmnWElqNEffvg8f2NrhwzjjdW6TNByPF9ZcYLto+4IEnp+iPbHteb+A5kPs0anXqtSm+9yVLPLb/PPft2QhGoXVqy2ETQxKbvJ5kMPJoDA31mqIWaMLAJwxSQk/jeSm+Z7PDSmlXxGZXWIRBUOi5Iji3oNOZI6Uz+7VkxWbA1hbExWtyYGd3S2DusXQvn+uVdl8eO376P0hVCxrN5q8A0XMG8EF/IKPR8Jdu/dKf/KuVpbNBLfDsB5YgU0EqBGkF4BbYyiUVUmXwtHuubQOtTsmfp1nGzWSZN4N2mbgsWWGMoZR5r6y4Wao6S+go6TKWilLRls3+hYGiFirqoaBRF7TqholGymQzYao1YnZywOa5Ze7bN+CX/mADx09OccE6zVQDJuqKZl3RrEGzllKvxQT+kPbQFov5ysYf2S3VmRYNmKjH9BNN39VZ94cp3b6kXVc0uiG1sMXOjTG//ENt/uNHJN/YswGDQhtNmmqSNCFKNFGsGEaKQSipjxS1QBIGhjBQhJ7G963f7ynj6nzcqupkihCm2qDrUvvGkYhxtSypA3yqi0cLUOkeRQFw9zwtSZEs+WYvAEdarpxCu0TTsROnglqj+dM/8kPv8geD/r+v1xt/7XT+Xxvgw0EHY6JfeeqJu/7F/LkTNd+XaG2QQpC45EIq7RWrpCBRGZANWlpwpw7cOnuuBVqbPI2sc48WjDa2i9yVgJbvjAE8C2xFBm6R1ZRbSeS5VjTfk4SBHQBUC+1IhnpoaNY0rUbKRCNmshUxMzFg89wK9+3t8x8/vI59x2fYMWMdllZd0mxIy951Q6OW0qjFxGnEH325hVQKX1onKWdwky3hPv/wNcvc+lBENwrpO4D3BopuT9EOPWpBSOhPcMm2hP/8w4v84ocF9z65AW0kqbZp9TixhWajSDOq2XLXMBTUfEEY2Mxm4Jk8Y+spbWWiLGzbHOBFyhNwJILNJVi3xQXyGYDd1AGdJ9dw7E6+4marcwFwU3o01cdUI4Tk8OFjtdu+cse/fN1rXilWVjo/NzX118t0/rUBfv7sYYzRLzh59OG6J0ZIT9plU1pL0LI3KI17FKRSkObp4Qzc2fJk39N5rUTRfmWBLmwdRQbq7MCPfa6id9PVmUiKYipXR24BLvF9aes3AkEttDNPGmFKs27BPdGMmJoYMDfV5v69fX7pQzM8dWwdW6cFs82SNKl5NGu2fqVeS6iHEb4/4tTiNL4SKKmdLVcEmWkqSRLFpmlDksR04prrlNEMhindoaTeV9QCn8Cv4XuTXLo14T//43l+/vfhvqfXk2ppAZ4a4iR1TK4ZhZpaJBkGKpdgvg++55wrJW0uQDp3S4Bwj2tg3MoVXFIIkSeHtEsOZdniNC29rwvJmZaArXVxvnMcjIFcG8NgOOT2ux6s79ix8wXy/2DHib8WwJ985BZ0GjeeeuSWIIlWCMOisEk6QKfKfbHUAl3r7D0LdK0NqUf+JavAzmSIyYFuMjmSPX+GzyZFUUQlJbZEwIFbSekaJTJ5AjUfwkBTrxnqodXPjXrMRCNiqjlg3XSbhw4M+cUPTvPEsTk2TynmmprJuqBVkzRqikZdUK/Zi8Om+iPu2yPoDQNqCneRWQ2eNSGkWhAnHs2a4qYrutz/1AT92MqUwSilP1B0Q0UYKAI/cPp5isu2aX71R8/zM78H9+5ZT6wlsdauWbrowRwFkjDQlr39oo7eU9kdJ1MKGZc1m6wF8iwpZDKAO8CnufPCmiuvdvpal0jMgviZgE7+eH5+hY99/LPB29/2hsaf/vkX+t/79r/3Nw/wpfmjTM9umXr0/s/8rk4HL5EywfdU7nNXrlhpNbcuLVuWsYurXCuxNmuXAK1zYBdNwTjtnZ8MYTOlQjpwuyIjlQMclKsY9D0IfGwnUOAKrMKUupMXrfqIydaA6VaHRw+O+MUPTvPY0fVsnPKYa2gm69CsCZp1RaOuaOTsnVILE1qNIXc8FrDSrjE9XaTJM8Bop03jVLF+VvHK5/W440Ftu2giXQK5pOZLar6H7wV4Xh0pNZdtM7znR8/zM79nuHffemLtEbsKQFv2apk8jGVeXRh4Es9zRVhSoLzs2JB/vuwizKSKyKrSKBJC43ddetS69JivvFVwlys709LrIv4qjIUkSel0By/Zu//I7//ID7z9J/YdOLpyyUU7/2YB3uucZtif/5nuyuHvi0cLBL6P1toCWLgPKseWKC2czs6u8uKKz+RHmssQcvauBJLjzO2QnmXkcu0tswq6QndnFYOewtZneAbft43FtUBTC1LqtYRGLaZZG9FqDJmZbPPw/hE/+3vrePTwBtZP+axvpEw2jAO3Y++apB5a9q+FCY0wItEjulGIUBI/Y/BcgwvHXs4vjn2awdCWC0Q1pjOQD1P6gWXwMJC2Jt7LNqA1XLnT8N6fOMe/+x3NvXs3EGuPUSqIUu1YXFCLNaFvCHzbu+q5uMNTtkRYSemOj+vKzx5LhVn5hVmOdcbAnZNQiZjK4M7jKlM8L7+X1ernrO4IUhvBiTOLPPH0ke+78xuPHIpG8c//jTL4oHOMWmvrjie+8f6r4sFJaqGw4Ja4vski0FDaFEGINq6jJCvqMSWAi/xApbp8wESJKYqspCmvmRlrl4PKbLl1HTrKBVOe5zqDXBFSVj1Y81Onm2PqtRHTE30mm13u25Pwc+9fxyOHNzA36TFXT5msGVoO3PWatRMzcNfDlFqQMNGM2HPUcPvDTQIp8ZV2QVzhUWTLd5wqEu3xsufHXHhBj0PH68w1KPocRyn9oWNhT+F5vqvEtN71FTvgV39sgZ//Pc1dT80xjOs2GZYYGq6GO/SxIPey1Uvnva1SpfkKp6QoAVyUQM4qvVKA3FQBnlcoFivvWitzwe5UGbwkc9Ls30Fx4PBpbvnqA1f90s//+I49B04eu+yird9+gHfbp5D+1M7zJ+/5HyZdeLOkSxj4VYtPFj5pHnjk9pJBp5kcEauWtMwfNrmnPeaSrHJLHHOPg1sYpMpsQVfzohxre4bA0/i+JvQ1YZBQCxJqYUSjNmJmss9yt8+dT8Kv/vFGHj+4jnUO3FN1Q6suaNZE7pVb50Vb9g4swOvhiChNGQ5q1JS9yKQQlUq+LJFiA03PanlvxCgyDGJRArgmCFIC38P3pZ0qIP0c4Ai4epfgV39imV//k4R7985yuj3BsCmZSg2txFBzEwdC3zjvP3NSTM7emVTJAJ5/XvehyzjPFaI7KdmqWoC7KiltNWcJ7BWgZ9ZvsZqnJdBrl9Trrgw4eXblzV+89d70VS9+3r88cvT00V07N397Ad5vH0H5jRvbC0+/tbeyl8APSbW2OnfMF9W55Vd6zzi97ZYeC2rhlrYsYVOVImWAZ4e4rAqzk2DHPWTsXXTjF8OBbFms72k3ZiLNwR0GDtwzPeaXB7znjxp89htzLPSmmZuUzNUcuGtWdzdcYFkPJY3QOAa32rsWRkDE1x4NWI4DZkMq9diI6gqVprb5YSL0eMW1fe7bF9GNQybzjnVNMLK16oFnAe4p25AtpE3QYODSbZLf+GcdvnDfgF/50AZOLkwzmPKYCgStRNNIIIzt6OVA2YFGfhZoSpEHwdljOVAvX5hC5L0i+fmBMQlZBnYpftIl8JfzGOMgT8sBqna2JB4PPHKAbVs2vHVqsvlH3d7g6LeVwaOoh+83Ljp/4vZ/3l16DN+XYDRSO/vPCFTqUrpZ5itjcJcBywCda+0c1JkEMYUNNc7aZVniDnTGLFm6OXMBVAZwZWw5rpf1dtr+zsBPCfyEWhATBjGt+gDP63PHYym//8UJPn/3eiI9wfoJwbqalSXWAsx8cuXuwjF3mb1jPG/EPU9P0Y88NjWyzzPO4NnqZktJa77iBZcNSLQF+CAWtms961wfaRscem42jLP3suF2BsG6KcH3vbxHKzzNh7444M6nZzkb1+nXJBOJoekZC3LPxSHKuLjEOJBnx1AUteMSJAWLj+8omEuVbEQF49q83D1U1J5njJ6uEZymJQJMTQF4IT1uv/cpbrjm4n/+1je+6JFut3+g9S2MhPumAI/7B1g581n8YGpz3Nv3UmXOo/wQrVOU0aRaorRAS+uDK1Mwt9ZlSVKwd0WOZFobl0yoALtkPZTtK2HGpEmWlbMVg3a0m3Y13w7cytZihH5MEMTU/IhGY0gQ9Pnj2zx+7Q/Xc2h+Bj+ssbElmAlTJkJDM4Sm67CvhzbbWXMJIVu/krqVwMqThU5KLwoIlCKQRXMHpa+SXdhZ7UaU+NT9IRunBqz0Wwxi4cat2VjB91Nn8ylndyo3aqMcuNrKxze/uMf1l8/zqx8d8rFb5lhKmvRDn6YvmfBsDU7oQaDImyG8LOmTz6EReRY4SwCVSaUqVspAp7ICa1OVmoU2H7uvMhtK2evsPRRHz7S55Z69L13opZvnF9sHHnr6BNddvu3/DODGpMxsfMXOUffR94vR/TTqKUmaOABLUqNdMY7G07KSzjWmKlGMLuobsuAxPwiIkiQRY9IkA7cp2MRl32QZ4NKgXJFXwdypA3lC4FlJEgYjQn/A0XMJH/hCk0/fNcvhc9NMNHxmajAdprRC41LvGbilA7fMk0I1p73DwF44E80Rn7rH48CxOjU3gStvF6NAeT7GwVgdHicel+6AN17f5fe/NEuv4THhZo+EkYsblMbzpBtbRwnkfulk2VVh+zrJz/2DPlftOsnvfX6Gw2cnWUrq9H2PphI0HNADaeyF41ymfPXLjmtmH0LesGL/Y1b75BkxZaUTuW++2lI0ZRCbqsmQyxMH7NRlTxMNA+3zqTv3c/11l7//+7/7Ra8/t9j5plLlWQEexzGe59FbvGvrqP3YbvQigV9HytiCOpWWsXMZIovinPLzSvEOOfhNmb2NqIxKNu6EkTF2BnJRANs+FgVdSmrnmmTsneJ7ie3c8RLCcETgjeimEe/7RMCHvrCRU4tTaFVnZlIxExgmA03DMXcjT99LV6fipInzznNwBzZ7OYojDpwM6UUh06FzcbKkU+ZKZFlYU6pJiT0mmh67tkaocEg3ajEIBPXYMMoA7qUuUaOsjy2zEuC1glfF3GSfH39zn7e+7Cwf+kKHD3xyloVBk4FXo+YpGp6grgxhYiybuz5ZTxblDVmWcxWTs4ZcGXdYoBpLZTKkRGRlFs/jNJO5KMKBm7zLaIikP9/h9vv27p6dCLe+7TXPPxpHMX7g80y3ZwW4jk6T6Ik5RPiJ7sIDfuB5KJWCMBhj5+AZIx2DW6CbTI6UWTwr1jFjwHaALxhbPEOG0pTsQJMDuyJPpKuSU6kFuJfiqZTAj6kFEYEf0R5G3PO45I9vm+CTd80yTFsEQcBsIJgKNM3A0AgNjaAAdy2UhKEkdNLEJoacM+EAHvg283nkjOHOhxpEsU/YNKsCzPy45hrcEkEUK3zf45XXd/n4V3rsO9lkULOjGUa+IUjAjzV+pFHK2rFWRshiuA/F8Uy1JNGSRuixYWrAv/vePpdtH/Gx21o8uGeS+UGToQrwfY+aJ6hLCLMBS5m9Km1dUV6wJkrH3zH5eHFWmdEzghp3xLLXhfYWJTYnrzdKMgIwEGmIjSAyoH2Pz3/9Mf/733DdJ87Ot5+3uNyb/2sz+L0HNsh1waM3bgk/NdkIV1wXiHVNtJF40oHbSJQbYKldwXwF3GOyJL9nwHYSpczglcIfNzEcYVwix456y8o9re42eCq1AFdpLkc8L6bdi7n7ScEffGmC2x6eZKndQtZrtOqKKd8wEWgavqERGOoBjrUtc9dDSS1Q1AJBLcBV6GkHbk3oW/2tvBH7T8Kpds0mVpy+rSZOivoZ2wdpQZ5oSRR5bJgQXLRtwBPHE/qxz8jN+A4iLPhUNlk3S9TAeJ1GdvFkNmSc2vrwd75ywGtvWOarj3T5yC0TPLhngsVug7YM6AUegRIEUhBK2wjuSbtLnRLFRaqEK/tdg8FX1a+MM3mJ0DSlwNMIUqjIkdRA7EAd5+DP9KthsTPit/7oy5P/5V+96MZrL7/wSzzL8KBnBfjCwvHwXMzvPL20p/ldN3aI0xCd9zyqHMieKTf6Cvc7VcbOn+tMh5YAXjogFV6oSBNTKdC3skQ7za1RMrUD8TM3Q8bMdxPueMjji3e3+Oydk5zvNBG1Gn7LZ8KDSd928tR9nOyAeiDcXbqSU6e7A0GYsXcGcC8hCBJqQYQxMV97OOTYmTrrZgS+1E7HiqLRt8R2pmShpqliMPLZsUHwymv7fPobEb3YZxALar7tVw3cZKlilVK5X23nqFMcVyNKK6t0WVOPejjinS8f8OrrF/nMXV2+cHeDOx5vcb7dYCACBoGH5ys8YUd6+FLiC+OklkEhStKwah+uQeYVF6xgbpEHoOkYY9t78ToHtUndXdvHZMSGxv3N3duu/R04cRkw+GsB/Km9D7G43OGue0d894sj6lq77nXPgVw6ra1yVs/2rMxkSfY6e69yEsD2Tq5RE1gJKEvAtgM6rSQRDuCelxJ4MbVazHCUsu8UHD2t+NMvT/KlByc4v9wEv4Y34dNQkpZvaHmaum+o+1DzLbhrvp1JaMtMZeku3M+NA7nOQR74tj3t0GnNE0dC8H23zJtSil5UUFAOwmy9tCBJ7TjnK3eNuHxrj72nGgxqgkYiCGPDSOGsPe3YO3NTMguy0Cq5z54n3ZSbPuAzjHzq9RE/+LoRb7pphVsf6vFnX2lw9HSNvacaRCshSegx9DykslN9FeC5x4zJc+lCEfyvuuVuSgFqTQFqDbnOtj+zjc+5aDepywImQJa/T1Am4kdef5qo8/TUsvihv7/cNb8/3VrrAzwLwE18SMRx/59//av/dV28POLBvT43XhIThAlSxehYEkUKrZVl84w1ckCXgS0L3Y1woKb0OAbvLFLPNZ9NalhJot0uDylhaCepJmnK2UX48tc9Dp2sc/v9dU4t1zl0uglhiGp41DxF0zM0PW1dBN8Ozq/5dlybBXF2l+6uHMBxmtuB208Jfcve9sKKODIPe4428GXVHswlCkU9eO4oZE6Kdn2Nic/lOwZctL7Pk4cT+olPKxaMPAgSOxNQlQAupbCdUyUmh3H7TeTBbNZHGac+Iz9goh7xD18z4sVXdTi13OFrDwQcPhFy68MNTi/WSAc+WnrEgUJIaVcK15UvcRlPyGXLWiCvBJqUs9SZ25JpVF26O7bGATxOIdYIL0WqlOsvH/LA/oA/uefI1E/9495PBX78odUo+iYAj1b+Ap0m36fM8eaZRY+ffM8sV+yOeel1Qy7bFbNlRnPhzhHKSNJYVpbEKtAzKeKAXWLxjK2rn8yUIvaCtXMpolL8MCVODYdPCJ44rPjy/Q2ePBLw9JE6nVHIKArBD1ATPqESNBQ0PE295AOHXlankZXN2rrw0MmSIFAEgXQXgCm0t5/azKJvdX4tiDE64tySZGRCPE8SSINXstnGCDwHeWqq/Y5R4iPwmJuJkGpIL/bpe8I6HXFRMOYpXclAysykBsiGHSEwWhZMXhqM5KcqHz/RHwVsnI7YviHm+ReMGEQD/tGRNk8eDfjyfTWeOFLj8PEacaIgVBipQEhSWcoG5UmKNbRKRZwXOto+6tLj2F1riDUeKbt3xWyZSbh0V8TLrhtxxe6YPYcUn717H//99/8cKZ9ZiKz5k/d95FZ+59OL6vz8neIzX1rHvjOS4UDw+GHNrfc3mfQTtm9NuPLSiNdcP+IV10RgbFtUvYnT2RK0IHHgzwLJCoOXL3ljAY2bX+J7BoRGSEMcGfpDy+hHT0r+5LaQfqx49OkaB0+ELPQCRmkAXgDKR00oAimoK2goQ01hx5kpV3ikLGsHvrBJjzK4fUngZEkYQBjgXBObMvc9TeAnLiMaU69FnF9O+fK9LdrdkOlJgZc3XBcgX5PZdCkg1JLRSLFuVvHam4bc+uCA4+0mA19ameKBnxj8OPOsnccuU2sXUp51IvO/oY1XKZlIU0mQKlJPkfh27EMc+9ZK9WOaQcyLr0x4wWUj3vLSIftPSB7b4zOIFB/7coMjZ30Qkv7AI41UVr6J8TKAj1lG5fRtBeCA0YjUILTBOGDXmym+rxFG84prR7zm+iFXXBKzY2vCpA/rJgwCwcUbDVftXuTRww+Jm5//YvWeH/9Msm7b6p2WnxH6njfzvo/fOnH1/lMRyATqKVqnzPd85rXmyJLm3ic1n/hywtxMgtGGay+OeOerhq71COYmNddcGdGsuRXHiDwHtvqci3w4T7sveOxxj8WOpF6T3L/H53N31RjGimGsOHM2QAuP2Pho4YPnIUIPT0oCJahJQ80BO1SGUBlbA+45z9crmDvI+jJzcCvXoyly9g58TRBkBVppzt5BEKNUxNcfUXz6Gy1U4Fm7raK/n5nBMy88TTPHQzEc+rzp5gGfvafDx742SS+p0XQ63M90eJwlZUzeLSSEzAFm/5Qsaf0SwLUb7eBZJvc9ReJ5eElqga5SlLKD9KdrCTdfknDTJTFGjHj7y/sMYzvO7S/vCnlgT0A9FCx0FI89GdDpS6eSBM8oyvOdJ2xr4DXXxKybSm3TQ6p556uGXHNRjNEwN22YmdZ4tigDnUqioSTVCpDsXC+ZmxpdHUxNvw/48W+Jwc8trLB+dnLi//tfn76kH2tFEAK+FfoytT1oRqONZqQ159qacyt2aMz+4w0+93X7c5MaJqc1N14d0arbOuA105PlS925Dis9xYNPBHTaCulJOxPFeJaZhIedC+yB9JBS4kthwSwNodQE0gIhUBCoYkafBbkoGh482wiQNR6XwW0Z3pXV+hmDp6V7QujFGBNxaiEgGtUIJyWBS3srV5VXyWIKCvIqWad5d7pWRLHPdEuxbV1EIIYMkpBBIqh7dghmVkOSJbSULJe3yvxv2b+RuVq6yJ5mtfslaZQkqcsbKDeXPSFOUlRscwmeSpEyYes67VYMzWXbh0RmgPQ07bbgwSc8VvoSlSuWalBdOdOuGKtZ07zg6pjJaY1J7MpeV/bY5U5d7BMZ+zkN2fexDl6cSlKtlTCdS2a2vWvCpEsdoWaeHeCHTsxz4uzSe7/84MGXn1zqIZRyEkNRTD/K9oApaSY0iTG0syVIaTorhjNfb5a+4loAL+s3d3KEQGdbLuBqToUqghwpnZWVgdqlnSVu49bMNy49eq6TXuG23iMHt23rUgQO3IFHXmJqGdyxuKcJXHbU92PCMObEguajtzbBC/ClKALMXJ6IVQxe9oezBJkFmx2sE8U+73rtgM/cMeDpcy16qU8jsZvS2ipAU3TiqCwnUA72stLFTArJUoFXdtd5LYznKfzUzkvxHdCVLJJmtm7cPRfaDQ5K8YRBmJR1Dc3fe5EGkTqZCYhs/4w1znleYyRAK9LYI5vHksSSmMzmtI8gchMjy9YaIzFaIlnCSx95uY5e8F5M8pPflMF//cNfQkoR7Dsyj5R2cKPBBURGYVCu3qC0zmZghxL4DShD6pfAvSa+M3bLAF4NXoSUeQuaEuALm1YOha0W9KV97UlcTYXrHs8KiTxKc1BwO7MVXfUFwGUuW8LA5C1tQaBLg3MSfMfegRcjZcSxs4L5Tg3heYSSijyR5a9VOt1l6VABnnM6osRndmLEjo0D9p4dMUg9himEqcBPDX7idHhC7iwVKXRV6VTIYjs7aTersxYlaaTxUk2qJMrLti9XrljNbiujZHEXUqMcyEX2t7FTsoQ0ueuVAT1zwNYCeJHcK+KyzJSgkj+RLmi2P9N5PsXuhh0PThIt/kmwVr5nFcD3HjiFEIJ4NGTSE/lEJm1s2jR19QS6nIYlUx8Z8MtU9WyyBNeVUyqsFwJJkSK2U6nAFwZfONA6CZA9z99zZF+UgpI32AZKWLBXwC3tY5ABPQs+Hbiz7h9P5xLF96w+DYKYhJgv3FPn3Hwdf1IRlGs4yg4KY4q0nLouVV9mSZ/hyE6wfcMLe9zz+JBOUqPvedQTTeTS6UoWBVFZwZndyCv7S1mgKXJb0lqHbqaKgVTZv+lpQaIEXirdLna2lidxQC+SaTpPsEmpS4k391yWwe1s3nyvmGc4/6VCO3ITgor7Vq1bKl7b/7/EkKKXT6yRTxkD+Ef/7DYmW7UX/cGf33X9YKnNCJP/cWvCm5Jpb1Os5dRr/sf55huv5IIkSxYIUNmjMHiQW23KpYztfJNC46oM2NlATydPysDO56AobD/iWgDPAs5Md3uZLDFOb1dryQM/JvAjzrY1Dx+sgxfYEdDS5On5nMGpsnjGXIUPXC4VlbknHsc+1144YnZqQHu5QT9RNBT4if0uKrUDlFRcBjgW5PkfkmOVmsL1TbriOKVJtcDXglRJUqVJlSBxIC8Xr2XlEDIDeQnUWcmEQDuQ40qas0x0kbSrFGNU6lfKbF76zDw7wLWG/shHRpuvn9jw2hcdP/DOu7df9Lq1AT4cxRhj/p4ivUakEXXfJ9W6yEYZii0wMBX21nlgY/8tzWpFIpx9UjaTsqs8y4oV4Ci2Oxkv4fSy2ghXA56Vetrm4qxTxcoSlXevFMDOmm8tezvN7ZHr7cwStIxdgNvPqxNjBDGfvyvknidbyNAjkMLO384rCMvzWcp11MVJzWt3ShWYqVakWjEY+tx0xYA3vrjLBz7fIkpDeqmklhpGCW7lKlf9aSfn9NgF9UxMDtrNstFa5OBOlUQpbRldSjdaQpdKkcs1QKYAeSXbnDF5tkiXZKpYTeblkXtFDUsmU8bLOsrlH1ZuxbHGl1xjdO/vYeK712TwfYdOMj3VfO1H/vSr/+DYqXkCXyCkRgtX7opxlX+lrFR2FZXSkWVFYqhcr+7LlhjcgTsDgCyBQlLUPJRHG2TMbbcgyV7jGJy8DavC4q4bxldVcNtxCmPM7Xo2A9fe5ntZw0FSusdExPzZ1yZITYjKs5flALPoa8ycjYoGZ6xdT0s7HSrNgk0Pgc87X9Hnj74wYkXHDNIag1TgJ+QsLqVBJiIvOrN24fj6KSmsSVECuSD13OgG5UDuGZS2csWO2bMVjDZ7XJ03qdyE2nKdUFarkjel5EAvpMpqgFfX9grIs5+XyjvKbJ6Ny05G5yBd/gebdr7+9kH3xK311rYqwJM4JhpGFw56vd2dTpcwCCyIRcHU5aVDu79cTrWXAf1MNyFKTF6SJznQx8ozcy0+pjkz0JdneyglCi3uKu4qw24csD0lCicltwNtx71tTDaOuYsA0yuxd+hHPHxQcuB0DaN8lJQEUuON12mUBPi4i5Ld804nLUp+tQV5nPjs3hxz+QU9vrG/TqwCBomgJsFPDV4inHxzXTiJ0+FIKxcqf1KUWFyUpFExyiNrHveUzmdIKif9CnBntUDGlQlkTE6+eogSuBHZxKy12Xutm8maVykAXV6FKjrdvY4GfYbD4e44ji9M4vTWVQx+8swyK80hy50hAgsag9XFqwLJMSavfLBn+dg5c5eZfBzoJXCrvOa7sN0KySJs97wowG2DTJF3i3s5uGUF4OXhP7bbnhzYebYyZ+6UwLOJHdsVFGOI+fOvNVhcrCNCz/ru5YtwvAalIKeKRZg135bruHNvWivi2GPdjOQdr+zy8MEJRmmNvgqop1aLZ+WsSuLAna0V2nni5WhIVgjK2m2mdIGV59hIlM5WJJM/l/m26k6Dy2y/o0yayKI5YpzBx5pWinTf6kK7cRVQrlkqf/4y+wsBQvdIRudJk6K4MAf4B//wMyglOb+wQr2m8OSYe10BOZV/3FQ/zjOzt/tPIU/GHsuALrN4ZbxYwdiyzOBKlFg8kysS5VUBHnhuAJCfbR3oMpyewc9T8do9Tyt3T9nOnaePwSduazGSAUoql72sXojjGcxVy3LpGFZ1uNPiqSJJPcLU4x2vGfIHX+rz+OE6sfLpS0mQauceCWRqSsfJ7Yckyuupdn+rum9RmclTDV5uIdrR1sqVBKjUFMM687ksIr+gkzE9bs9nuViOEpNngPxma/04iJ+hXzfHZsD5cwdYWpqnbHF4AEeOnmLnjs2Nn//l9+1aWFgg9OyByg+RKfjXmPI/uvqEVcBcfi3Gn6/W3s8sUUQOnPFxyLLE2FmQmU1t8rxsk1envdUYuLP0vZ81Jms7MyRvEct6OhN3j1F+xIFTHt0oAOU5eWLGymPHL9zqAakONBrzwl03TpH48Wj6gku2DHn8QESqQwY6oJbamm3PaXAl7EauNrGUsaUmCzKLk15KmLj0hZcPNrXvZQNTPY3rIDJIXUwIyKZrpVl3f24AFMFlHniOne8MLasaJqp4HQOvQ5QpE0OVwbUWRIlhat3crute8pONzsqP9yemtliAHzp2hnMLK69Zv37dzwwHTxB4chXL2NdmNYOXVplnCijz90T1ZwKbzykDoQB20ceoSqyoKkM1M5BT1EirEqjz5y7Jo3BeuAW3BXAxFMgvy5MyeyvX1xlELHU1/+svWiwOaojQt/JEmsqqUgzOeXbNWZkmkM2JyRncOipJ4jHR8Hj327p89eEJFkcBkfQYSEngeiiLkQ+Owcv19ELnZbQG7cCt87R34awIx+AmD9IzsCspHINbSZTmLgq5TCl0eNFOWMiULPAsrMLKsRlb5dYG+BgW82QRLgA1GEa0JmZ/Zvn8nrvjePAZcAz+4CNPUwsDDh46hjEpvleKust/dA158qy3sRNcHew4xtoUaW07J29colQH0+TAlgKpivFjqgRqT0o8J0m8HOCZ5tZ5UOl7Oge372X1F1X29lVMEET86dd8njpUB+kjpSTMSmNL1ma+R7z7ks9YTUjB5rpke2UgT7R0mzz5XLm7z5tf3OEPvlRDeyEDGRBKkSd9lBTEpYBunMlFmckrbkRRE6MVKGNXBW2EBXc2JcwNUy3GShSzaIrJtLaPU8iqPMmdlQoGitffym01/gqA5xdqGrG0cBxQJIndGMIDWDcZUKuFTE/41NwOuXZoi6A81CX7B4Vx2dZnAnn2JUpuiX07K8w3qwbKVDzjPLAUBZvnDPnNAC4LgKtSDbXn6lJ8ciniq8It8UvDgQrNbdnb9+zUquW25i+/3mKhHULNuSeiFIw9g0QhqxGpnK1nsO3ynlZbPWfdFI/pCcV3vbzPZ+8ZstgLiZTHIJXOnhTOvRFFM7YcT6xoV9dh39I5mxe9kV7mrCj33I291m4cdnbcyyAXbue8XEo6eWJX57IeF2NyRVQBLgzCPDPaLd4y4JUlc5aMFIwiRW9YI4wapIkNL70HHt3Putnpnbff9cBPHT56hjDwrNwxoiLuy8zzbDfhPkxGYIaxk10CevUu1pYoWeKkAuzq7O9yh4sd7k4V3NnOBhlzqxJzr2LwbNxEMXLCUzZzeeSoYP+xGpoQIb28ObeoHizHD6LkahRfvlyLUjC5KMkTkTsZebtZ6oHxuHRHxO5NQxb31jFpYFk8tTLFK7k4BXuWC72yeiFZiq0cm5tixdaymBtZjm2UtheNdjt35AktWZBRDm4t3CyVTJOLMakixvBg8hdryZTiPVEUapXYu2B0j1H/DNOTF/7Ujt0verSztPeo50kNOtroS/PahYUlGvVgLLAsmLgC7nHBPf6BxvT2+GM+K4QqyKvyRJScCVEKNgtAWwbHjQIu++Dlu9vSWpXBXQK526/ed6WhGXsr99rzYpSK+cI3WhxYqENQyBO/ZF1WLlhWj4tYxUo5e5YDziyjWdXiUeRxwbqIN9zU54GnG6B9ktRqcT912d20KpUK5iwHSw7k2QpdGZ8n0NI9l25VkdlduG1pTD5uOVV2wwN7XkxOTEXCp/zcsXSpvS1veymD+5u4TuMvylgVQtHtLDEcidd2e8nG0ZCjXqadlGsKyFi0/C98K3J7/HIrM9cz2oPZQaCqtQuZIvIy0HFg52yuRKkJtwRuN5+w2LaD1cD2igFB+Yg3TzuQJ1aeqJh6I+Ib+xSf+XqTwTCAhocnBb6oSpPxz1/+zmsCPAd5SaaYsYSPA3mceEy2PN7ysiFfuqfP/fsCTNNnkIYEgvxCU/nfL3RwaS3NQV7OWdjg011gyrJ5Kq0e1yXWzoJ67YJLqUVJf4tSoFuNoQrdXcQF9j2RA70M7mfgzTVxWDY6hMDurpzvESTwBsMYz7fd6NpFzM92Qsb/uGHtD1Nh61UAH5co1YmmRXApctDk8/JUafcGJVxtSgHuAuRZ2azB84oRyp7bhMlTVaD7OVvbu1I2wAyCiDhK+dK9DZ4+3gDfR0jlQOXmhpSCSyGrJ3XcNcpJI6+xcJniUiZT59PCZO6Jp6lHFHlctj3hdS/s8djROqMkIJU+A60IUsY+S+aFM8bg9tGMfRZXBY02Gq0EKssSSoFRIE2hx/MVVYLUpVmGulg15DjAx+MSxoD/V8h0PiO3CtcIIhKEiRBEeH/08c+hlKLb7VKv+Sj11/wjazgmICondpXmZi1QZ4xdDjCLHQgKaVKyCnPGzgBeTE7NJYpjbsvYJmdqL38snvsuuPRUTBhEPHlMcOs9DfqDAJo+UmSVg5TswTWymKXvWaaGrBbFoisL6EtsXk74lAqwotin1Yp43c0jPnvHkMcOh+AFDLUkcFpcabvBblkaiJRcHpCOebuqcHI8RSFdpGXzbFXJgnxtLNilLhJtQpfdFHfOdcHs4zmOVQAfA/04ST7rbUysS+Fz4sjDLJ3fR5qmePFomVQIhI5p1GxzwapU6TNjetUVVPlZ5cuIyhW8JovLEtjLmjsHudXb5WymUq7C0FUU2nYu99wrzwcfA7e7+9kUWlfg76nE3r0Y349JTMrn765z55N1qHkgbUOzXyrhrZTGlu/lF2udG1O64xg9byoXbrKqrAB9NPR56ZV93vCiPk8dq5EkPkYoBsLDT8k/k0gLFi8+wtpMXh5ir1TG3JbN7WuB1CLX4bnfnzF6tto6Bs+Hdo6BuxJwVkBeuCprAfvZcD5ugBijOH1ugFIJxhi8dVMBUkoGQzBplO8k/Fe9idJ/xhm7eG5fyDLAS21d5Z0FKsCuSJVymr50V2PgVqW7V2yCmgHaL4E6c06sY2IflYoJ/JhHj0o+8bUWEID0EULlXUTKbaQqx9gp+z7ZqRH5MSkJugxUlJm7pMGNsDtiKDf6Id8n3sMYj3e+YsCX7x3y4CE7SSDWin4qXMGXA12aAadUB1KBhl09UFSAnv1UOdBr6fbzyYLiTHtLx+bCPubnUJcGdsrSxV9JgBWSpDhezx5oPlu+3OAmTSSQDj0QHmDwktSmYbW2VyFCkJUxfEvsPcbaBXOL0hXq3qM0ZXVMdxdSRbhkQWE9ZQDP5+SVQe5a04rNpmzAXAzAL8BdYe3SY9ZYm0kVpRJ8PyFOE26/v84TB+vg+yBtcBkIU5ocWw6sxKrASqw+YpUSiKKAyFCuEalUF6YSrZyjknqMIp8rdg956Y2WxQepZfGRCBhq8FJRBH5pZhdaQBUSxX6Acj1R2bpUEowySCNQBpv9NAJhBEaANKKQKqWgsmBvd151+cIvzXVfIw9ij9JqLS7WAts47PNyB+wqr+x7ngVTcQVl7GrtxdUQF9X/FP9dpacyS0jkUqWQJtlSVXVMqnvEjNWfCPK9d/Ldi7Pm20rDQ7F1iVJj4C4Nxc/dE5WivBLAnUQJvJgDZwQf+VKLUexDw3fyhLw1TZV3Cc4v3CL+qOiVNc5KpdanJFPKmwNos5YW92iGkh94XZ/P39lk3yl78aVa0U+VrTJMXfIHYfV3Kgq3orSSmAzoJYBLU2hx6TS61AYj7TkyUliA61KslDG5LsdSa6xsJUCXPfoyCVYA/lcIPAvhURx07+aXvmnD0SMHf+HxRx/IwSmL9NJqgK+lj/KrT1ROcGVZyj5sCdiyAvLqVnblyrzxIitZqv1QOXuXgC2z4LIK7my2X6G33XOpC+3tgsvIJHzqa00ePVC37T7CQwmbufRcDXa5ubgsU6icvGc7I2UNXliF+bg7bXfQqEzA0hKtPaKhz7UXDXjbK3r85h8HDLQH2iMWkoG2MYLUjkzSgrgYc1YyByULeDHGsbddVZQB47xvYwrwZ+CWxpGRqa5imWSpAny1m5KzOSWCqADbkocx1ffXFCsOI74acdONl/3CRRfu+jHv3JkTU51O5/Xt7pDJZlDpRFnr9s0AvqYFVHpeJADK7slYDUoZOJU6cFPR3jnQS5JElbS3ynd6KG1EpcyYJMkqBdMc3L4Xs/+05ONfbWDnr1j2zjv3s78vqIwXlqXvXQ40RflFSf5VAjxdrg0p5grawLOY3qtTRaqcFk89vveVfT59e4M9J32QEUZIhqmPh6sXyY516iCRZomfjLlL0ilLe2NnY2WfTbqLUBqQxsqWDMTS2L9htPPHtQtQK6tzFexrSpPSe2WcrWL0Z8SkvRBsDdKIXr/3+qMnzkx5Oo3AxPheUZH3TOwzDvrVls44wLMPV46mx2RJWcfK6vMKiwtTCi5Lz3PGNjmLqzFw24ms2j1aO1Apjcr8bpWgZIJyDJ6qhM/d3WTPgUJ7SyGt95130DwDQzH+uizlcuIuPa82IFc88dJEKk8LW5siixR+FHtcduGIN72ox6GPh0SpAuGRCo+BEHips+8y8iFzVMocaIoQ2OklYwQqr/uw0iRn8+wuTJHiF6ClBb7OZErJBy+DvQzkVWAvk+UqyVtlVVF9WSHSyAj6A40fJHiNmqJVt3umB76sRrPPQNXjH2StK61qB41/wdWJgLWbG6qsnb3OWDsDe8bcOdBVmckL3a2yIFKWpIkshuYrleL7MYfPKP73pyYYSp9sglbRNe9WkHINdFmSPOMBrN4qI2WcF561sBUp+7IGF5X6lFR7JKlPmCb85Ft7/MXtDQ6d9kDFTqr4DIRAZfLE6fE82BwDeebNG8AzRS+AQSCNkygYx9qZJ64rbG7c39FSIEyxeqw2ExzwS2Atg501wL1KOaxFwNiM61BL+kNFUFN40xMeaezRavoIKe1SWVzOa7K3GLt8Vm3Kml1RlL5Y9txVua3FgGVgizHWzhIpVXDrQqLIKoN7FX8709ll/V26S8vivhfRiTQf+OwEp86HoDxnDUonT0zF986fl797haWqia41gU5JquSNB+UezSyFL/N73gwhFWnisWVuxI++ucuvfiSgHdupR8ZIRlpZ2zDNPoeBVFDYhgXIi//anyiHATe/qXiUheMjpSkY3JTOndPfJmfwZwg4S+DVGa7KGBrD2qo8y1rHMoHh0LDUth/Yyyar1kM7Cy7VxZbM49eHKP3rBYuXKsPKOqoE6qy2xe67WAXCOHNnwC5Y25SCTZMHllnjq1JFkOlJg/K0Y3SdSxMrR3RJqmSMneSPnorxwphPfj7k/X8+wUj7Vp4IlcuTvKl4zBKr6O5ckq1aRNdk8ezMFFZhGfRZyt6gtS4298qTP3Yr8JqX8ONv77H/WMCHPme1OChSIRlq27spU3IGLwqwspNVpO7LdqUFdSFZjHFsLopCMUs6ttTVVBI/VsbkdekOD7pMchXMiCp+KAF9jUVxnMHL+/4MRpooTolijeflxUd2N6uiBLG8hI0BfAzk+QcsfajVVtDqaHp1YY4ZkyimFGS6LbrLWwaqothJKV2SKhmYS0wui+rAXHfnj3bW4NIy/MVXGyyPMnBbgPvSam9PVOVJZdXJ7LK1TkjpwJW1dnZich+3XNU3vvWiHqsTlxKlFVp7JKnHZJDy1lf1+fTdDRa7CmQMWhFj9fh4deFYNPWMTG7zQEVSKKtPyYJN41g8B7TzybVhjLHt+czyLAInZaC44NbAUkWujGOP1cc1TQ1JaogTm/TxlIoRInHMbQO/4noW1ZNV1ttjV1oO4DLo5WqwrwrIym1POWBKIyKkqWjvYj/M1UFlNpymAHdaCTCzIDPb58YrsbffSPj812vc/0QdXdLetqkhkyfVepO8NavE3hWLsPSztUncsWfJKixvg11uhjDloNNIu/GA88WT1MfTCS+4MuKNN/T56BcCUBEIiRGCkfZQQtgtSLJAUxSgHpcrlHxwlfVIZPZhVjsjS4Vi0ma/K8xt7AVvShjQGYllbG2ynxUp/GdkbrEad4z9jjH2e9kJtymGBO/Yac3ykmalk9JseGSFTtV/ePWVI1b98dUyZRzY+UUgTSFVxhhbiDH2FlVgFy6Ke60MnhsxJqVzTKRxurokSTLHRJYkirTuSejHHDou+cjnW5ztBna/a2kHvStBsWPDWLywSneXNPda7D1+qyR6Ssy+aqvFbAvGSte93T/HPtrtTzY0U37wjT3ufiLk0DkJIgYUGslQyNImUhZUGahzG7N8wZX5PM9muvNQZnNhn2dgzmRLthLbn2Wz34XT2+551pspiueUn5fZHMhHT5SkcRmXWXJwqqXYtkGxbp3CE3gYVD6jo+xurAXkZwN3+f9TBjSC0hJZ1d3Z0pUf+Ly+usTcKgP8GMjzGdnjz9Nce+cJnWwcsEpQMsVztmAQxIxSze/+6QR3Ply3vW3Ss9pbStu1I4r5K/lnzVaW8sW8BpOXcV7G+uoMZuFaFHu8l8tny2W0tt1MZ45Kqkmkh0o8Xvr8iB97Z4df+t2AUSJtI6qWJM5VkVqUPpsFeWWEgykGrmafz74WpdjAdde7JJANMEV+AeRBZ37Rm1XJn/Lwp3H8VByVMmM/G8G6C8NztUva2BJjLy9S8lyl3ph9V1kyxpaEys/LH7TC5mZV8XvBguXBPmuwd2n/ebmWPJEm7/a222brkkQpjf3NdLebcZ0HlzLBDxK+9qDPp+9sMIp8qHu59s7ZOw9sV2cux+2vyvEhCzjXpu9yYVMxrakMbuxY9jJ7m2KeuNRWqmRATxKPeiPhrS8dcNudA778oLK2IRKEJBYeg2wVJWPBoiALLAvnpbylVcZahBmo3eeUoNz3y14bJ00yoGfn1wiBzrcfdIGnLAO0wI0pvQdmjMVX44/879iBsBi3e50WeJ6y055qviTwysVQY//It8jcxf/HrAHo1Swuynq77C3LkmOR6d98P3WXKs+TOxmQC2B7agzoqgC358Ad+DErPcPn726w70zNShNhS2JFpr0FpQlSZhW48++Wf39RAvqz6JMM3IY8RV4pny1LlbHEz3i9uJQKqVOk9ohHHhdvjHnji3vcvyegHbn0q7Z6PEKR7QNh90wYb2krmMxgkzv5BSltdKZcS1vB5plUcQkf4WrIc6CL/LxrSsfPFAw/DvRqwGnGcCgySihYXRg7R1MLEjRxYkgS8KYnBCIVTLaKCqzx2/gSsVYwUB6iubYnbA9EtgRlRUoV9hZZUFkAuwB35oMXwaXMB7ObCmNXAsoskVN2UaTtlNek/OEX6rz/Uy2M8KzvXWFvCu0t1/jc5ZWuIt/EqhVvLfauVPIxrr8zJl/dyqaztL3W6FSipfXFldTEqY9Umh9/S5+Dp33e/2mPOClArhGMhETpbJBEphVKIM9B7XQFdhEoapmKsdo50IUFssz+byKTKsWIicwqNKKkvUUR9BaxQek4rrF1eEU+m+qBNQbiOGGpkyKDFG+iodFxykTDkBpDmopSkDF2jtZg6HHmrgK7muWrMHg5qCy9l3ncGbMXM/Gc9z3mmMgM3GpMnoztWa/c3jNWg8f4QczBs5JP396k1/Ohrlazd17zXVpdRJHgqUiysefwzZM8BYOXQA8lLS4q7olxTQc50GVpM15ptbiUHnGc0momvOVlfb50V52DZ1xSwQ6oJhWCgV1r7GfUDtymALvJQe3cElzyJ19wMiclS91b9lYOrIU8qQI9A7YcW+XzY5e7LlXmFg5oGVuPH9dsNdHa0O0ndLoxQRjj+UFAEHjUQ80oMflBz6L4Ymkwq5aPtYIEsdaHzkCcJ0bKDGgq8kTks+8K9yQHd8bcojyYPXNOdGW7DVmSJVI6x8QxuecljGLNbfc1+eojrlpQ+hbgY+ydFXkpIagEw5SDqDEmF+Xj9s1vOZvnqfvirrXLHmZOituKxOpuXcgULUmFRKUSLRTxyONV10S86gUDTnzRZ6StDneVUCR4DAW24hAXQgqRG9iZVaxyeBXYUNKBPEvxC1GQvbHn1AgXeFaAXmRUdZ7sKWblCIEt6xXZ5ynHczb9ny82VMnDrnbWA49iUJ5PrRbird+wZSVNhl/y/eC7R263gGzJWYu9K9q7AnKzCtTlOumq/s7ATGn5ykBfYuwc2BnQi10Gqs5JVX+rPP2elp4nSGk7dWSQcMeDAb/24UlS4xXOiVQIIe0+QKJIy1cZvOz4rM3e30ISs0B2RiiMyxRTkSuabOqVK8YShaOSa3JpvXGhPZJEEwQpP/tDHfad9LjjAYkOhIOs/QKxVgwoCypTkiVraPLcC3erbfZ5XUCZ6XDhLgBNMUrClPEAhU++qgmi1HVfSR6aCgbzT51/9KJgLQgCWq2JL+3Yvm1FXbBzW+/EqYVDg5H4sTRNyVKm463/axVBCblan1aSM2p1wVS5SKpc1y1zwJYtwFIipxRQ5gVVzwDuslTxKgkd22t5cknwax+Z5O5HmnZTHmnb0ZA+nhTUJYQSt8lVtbl49d01QOdDcqrDiJRr95JqrGG6dNyK16J00ZvVxzUjg9IcQDEu9co/M7BuNiH0DPc/HrAyKNUWuDAzmyJeVBwWUkCsujq/lWWpVIxbkl5OAxSdTKXfrY7nhsr0qtLFn+34QOV3KSdekQLWzTYZDZZ/8ODBffu8Ik1sawnKwRPZgSqx0mprsCpdykxdsHdplFdZmoiyi1LeFqMqTeQamjvbYWDNuyoHlq4U1j1Pg5SPfHaSz3y9iakpEK6/SXgIKSv9lkV/47N0zJfZp5IVq+KispyOceM4IOzzarf9eIePdvMDjWNuY3RRoyIkUitS4SEHKW99+YCnD/u894MeUZiUTy5G+4xwjSdZfj21JrbBFKB0DGpwmUK33YczgGywmTEyls2tPVgsCNn5N5QCzAwjaYYfx+Km9DFLUnkci+ULMmt1FGT1VBqvWbcnbxQZBoPsgxQgzE5OXjBVHqJYkSnj45DLIDdjEqXsnBjGR/BWwJ753cIBvKS9Kwwu05KTUgZ3iizVnnz5gZAPf7HJMHVT8EVmDbqspTAV7b1mar4M9PKxGJNvVR2+Nvtluxlk3vOqjCZmVQmtkaXMpiw5K0LZwizpirOkJtUeoa/5oTf0uPexgC8/Yu3CzBtHCrTxGGnbjpYXkYxbhw6puZQSAkUmTUogz5oeSpo7+50MqEKCNKZCEsYdL1MmVCHGjqUpAV4U/15WK+N+dxRrUu266o+fSTDG7q/eqIlcPuTZyGdgcUEBWAT5njpravAsNb+Wc5IBvGwPlsEtip291Codrqse+Dh7y7QIML2Y/gh+5fcnOXwqxHjFbskV7Z1JpAqwxwDNGmDOISyqeH4WQT6+gUA1o1kuvirr8dW1KVq6ikNZZnGFSDVCeMhIc8GWmH//w23u/emQ7tB9GS3zz5XiMcwyLFlxty5AbiSgHagNucOiXEBpJK4ryYHZ1aQUSZ6S3M1+p0x6jkmriUKTF6+NNymvcmDcoVW+YG5K0Wp6pKnB27JpPUIokrhLOlqwO5PJasBYDTBNCdDZsjLO6sXM6IpMGWPzyujdNSWKLvngpW3sHJvnzF1xTUq78zrP2/NikhR++5MtHtlbs563zJi7cE58UZUlSlRZO1991mBuFzlRHrq5Fl+vYvIx56RogKAoZjLCbeFIhcm1sAyeB51aWpCnEi3cPXVSRWuuvTTm3d/T5n/86RRR6lgc8qgwRTHSmRZ3ufYSyHOJIkpZTmE36DVlNpcgdMHc0k2ZNaaQLePH1OSyROQLSJnZhTD5e5jS71Bg0HZDaaTXpNacJI4TvDe+8bWEtQYnjz7FIw98ESnDjPDzLzauf3Jbp/ya6mTT1aMCxh2UKqALwJsxmVLdn7Fg77TQ5eWkTuXuAstaylfuC/nQJ1u0B771AJ3njVAIIZxzUmQty6W8qvK5V+vvnFkqYZnIX4txQI+x9iq8V4BuSs5KmbWz7axNrscLqWJtxFQqpNG2XiVRTNQ0P/L2Pg89FXLbNxQ0EsfU7hNKQaIlQ7KYogC5wZbGktuW1vN2saot680kjM7kRiFfstXbgGtULrCTTyOWIExZBYgqcTp5kmn08k0LIDUMBhGvvvh53PD8q2h3e3i1miQMPRp1aNUTUu2T6ixaLf6V8SxTZZkgkzNmTf1dTeaU9LYb/FmRJSVJUsiUYoddC/C06ndLawXKfF91G1hKmSC9hL1HPf73JyY4uBjYEVjO77aPsmDvUsNzBeRryZOKNBmb1rRajVRVyip3ocziRWIlb4RgrTT+2JCgrBDL6HxTWZFJFWEQ0kPGht0zCT/5ji5Hz3ocOCUwXllgCZA+qQM5YyDPBLDKQOBYW4JjcZEHmpm8zVl8TLpYuIyVhqTj8U1hVQtTlSjjh9cYGxt3h4ZES4SyeQ0vN4SEHVQppP1NY7L1ocreqzKYJcau1p+MMbcsA72QJxXmdlJFORlSMHlJdyvtXo8ncwqgK5UiZUIQJpxtC37lgxN8+msNjK+KdLyTJmuxtypdgKudk6p0G0/qlBm90OFVwI9llytgz95bXZNS1uEZoMsBaNb5I11RU/bcBZ+pJkHjS+uqtEeSn/kNxbkVAWGZbgUGL2fyQp64Cy17dKytJBjt5EvupggXZFaZXEjrlpiSiWFKsiRjaFM6xuNkimP2/HCK7HgZUg1J4laJjKyUkgRBcFYpcWvYmCFNtWPksg9blg5FSr2cNpdrvM7fU8XGobL8c6Er/07FIVGFNZjXnWQVg2Oet8yCSZW457bWJELzuXvqfOWBhqs1ySxB6Rg8Y+9i1+DyvMEym6wqiy1p8cqqNkYtOfjXqPEpy5VVcwpxu/vqMsgL5s46fTI9bkfuycpELJv1VO49+zxJPISRvOaGIW96YZ9AJJAkoLN7DMY6EImBoYaRFkQaYi1IDCT5kH7bBZZqYR9NeStCt1uFC4pTl5XNHzWkadZmZty9vG9n8e+V39duHyF7cZv8uQG01mzcMIsQ8tYgCM8KoZAzcxdz3zfuOnp23vyvRG5lFOkisVNKxozvcCvzaVJ6DPxlYGu3UakuLoJ8W+hqsqZSOJVr7rK3XbwupEjJNVGZa2LrTRKh+eztdd77+xOcXPAhUJa5S4GlcODOs5ZjFY2VOKIy+0RUAFwsmaIC6jKB58/Mmhgfe1OUwC5WSZIc8NkELC1LjRESo4saFZvit50/OrUtbvFIsW1W8zM/3OHNL+/jCwduUwK6STBaW5AbO4oh0hbcSfZoCqCnledlsGe7xxVgTccAnJaAm+bgLYBd/Hwc6MXdZvFTrrx0C80g/V+3337H0Wuvvtju0RN6Q5TS1PyIMEhRSlXqUOxyO24B6opVmD8vpd0Le9FUJcpagaUY2wM9kymqcE1kSYpk4JalgDKzBH0/5ciC5EOfarLvUAgtlYPaJnas9s6kSd5nybhHz9od86VgMwvHiuzfGHNXXheab61kj2VtPZbwKVwUmWf8qul7KSzIpTC5Ny4yZnf1BEJotFAIY73xeGS4dHfMD721ywNPBBydLy1VedBpZUiCYChscIkb4WZ0uQ6l0OV5jUpV9dh0vbQ/E6ZYGXMZYyFWeq9aZZg5KKL0WE6gGWNzOd1eTLs7YjgqbUJ14YUXobwGi5N99HAv3cFqy0+U/iiV96vZSTEObFEGeHnLuSLYFKXtoTNgizy41BRuSlY4VZIl+XuWvT2VstQV/OYfTXD7I7WiSjDLWDpwK4nbobg8Brm4WFUJzGvZgmsBf9wC/1Zv42nnSl1KCeTWobCA0m42oBEl8JcynVIYtDAIbY+zFsq+FspeRkKT9jUvv2bEP3tXh//8+1MsDzJgO8Rp4UDukUiROygZyNEWyGSAd2SRfcZ8z6usxMVdEMJdBOUOHzN2jIua8dXaO7enS3odY+gnHtPrt3PFFVfQ6Q2yaxQmpjYyvf7y2x58fPnXjpyZJIqF+56lhoOy1l5Dd68ukDLVwLCUbldydeJGKWv3FW7JWFfOqurA7HlSSegMpeF3P9Xkg59s0Y19W0iVMbdzTYSwY4Yz56RSVJUd5IzNK8VAJaZeE8zVOdffCtLHu+tzIGc/K7stJbuwkCxlC3F8Mq2VKll7WzbAU5tiD86WBz/29i4//tYudZ2ATp1UScHEJbliNfnIafLY3RMjiDOJYpwWzyVLSZuPyRGr0Z0mL8mRigYv63Cn1VPjZIz7WXb8lIKrL2oy21j5tRuvu+y2bVs3FQAPm9v5vf/96/2lpdERqepANU2uxtm3DGxBFfiiDOxygLna35aV1rKCscu6XGaAVqmTMVkip8rcUibga54+5PMntzXoxG6DTDJge3mAKXDSJL+bag/oeBTP2POSi7Qq+5avcGPa+9lA7rR5eYRErr+p7mVZXASlpuSy/l7V+VMOPJXV51qhjcJoRRIrWp7h+1/T47KLRsi0rMfLYE8LkBts0OnAnZhMl7uAc1WwySoNrsf1+TjQS/o6/31TughMNTC1O1T4tJdXjvzae9/bv/TCLYVEAXjTG1+H59c4cehOTh17AKn8asq9/PyZ3sszmHpV1rKa6DG5LCnbg4UOL5i8EliKUpZyLBXv+SmPH/Z5969O88SBEOPLQpbkDC5LtqDJB/mM79SwljW4lkypJHYEpVeFOPyW5IqpPq364uN2oT25tt7DAleaQrJoYeerayOtXjUGbaT7HTshS2jrjacYG1tFhqsvjHnfz6zwY/9F8MRBF5zI7MOIYjlxcsW6FhCU7EOdtbQ5iZKtitYfL+pYsn820+JFzYqp6GzpjoNwf3484WPfN9b/HsVct3E3r339S+n3B8DPVAHeaLbwggZBDcJghJQeqaYCYstaVTCLEoDHwZzvdCvL3nfp+RpAz1lbmEpQKTLvWxXAli6h4/marpH8zqeaPLonJFUl1hZFvQmUbMEKqKvOScbK43MHV42FqIC9YPVnKT9ZU55UMF7KYuZ9mpX3y8w+VjNu7Dhjrd1IY2En0+pMj2PQQrpzJ60e14YUjScM11424p+8pcfP/g+fbiLAh7yIJGumRIBWpEIQZW1s2gli92iwzchZQt+4uWxZEsiUCCQDvPW/S9sOUgK1KY5xFlzKLPDEMvgw0dSaPhs3TtPpBvlxzQF+YkEShN7BI+fqh3QysXsijB3jZUuxqYCaUpC5CtiUHJM8W1lm6nGQO0kjdP7c6vi0BPjU1aOklslFghIpnp/S1/ChTzf5xFeajDIwjzE3QiIduIst99bYZ6fM3uOMLQpgV5M5opAsq5D9zeTJOHuXgAEVHa4hH2Vc9cYLwFtwy5zVhREIV6MijLRBmzH2uXZBpzGkqSEQhne8qs+eYx4f+lSLXow9YNqhMHt0EE61LAJJl6q3NTIWyEpktSoFqMeTQOXaFAv0ahdQGdxlJ8WUjn8cG3ZsrnP95eLQxvXm4IaZND+mWTkZz7vsAlrpN2694fLZj23ZuJ4kSQtgSp2PTBvX5kqaKgPn9dtZI8JYIFr5d8p1JGO+dxncpcIqKTL2TlFeQjeCD36myX/54ATnF/28trtca2LvosTeZlW2ctXMlnL5L2NgL78eY+3Kz8SzgztDdbnQKn+v8lI4Rq8GmBV/PEv8UPq5FhVnparLVWWrQjsCTrFxVvMLP9zmH7+lSytMbDbGpCU9bhNBmBSMRmurx4caIu00eckvT43T6KYIKrOAtBx8ar3a786SRenYz3JNnx+3lFpjE8fOb/nY+z/68K3Sv2g1gwM06pqwJr5wOJFv1ia8xhNJydLLCMkU22KU7MCyLCmn4C2bV6VJXmhV0txl5pZiLMDMbEFRKn9VKbJm+MwXGrznAxOcXXLJnFXsXc1Y2s1bqwPsK543PIP3LSrgLXuwBbDFNyPsb8rm5bmFZakC48xdGpKpjZsqJew22qIAtjCFJy5Extq4x0yuWBZHe8SRYdN0yi/8SIfFjuRjn29BzS0dq5jc3jSSGFtkFYhS0ZXLxGYMjmNv7ezEfL+fvAirZBfqQoZIp2Wy15lNndU/NRs+YaAe1arxhYRB5ZjK8ovZrd/NXXfcd3evrx/0fEng2x3IMiekXJ+9yhrMRze4FLzQOYDL7DzeGFwFtwOyKrH0GuCWMkWFmoMnPT76+SZn5oMC3GLsLq3M8kThnHguMTHeqVNuhM7BTFWW5MGjo+9K4c+3pkpyMD/rz0vety7LkvKFkD8WWc2qq1IMDLJp+3I6v8riaclhSSLJpnUp7/p7fXZviyByLJ5lOk1aOC2OybPUvnVYXEo/vwvH5Pa5NuOpfbGmbZjmTF59zByYOBVECfY8p6MH7/naLXe/+wdeXTmO3viBvWDXHCBJ+6cZDQeM4gCtM6GUBZrVoLOqwdd6nTG4LlUVZgmdUkApyqAvyRRRzlimqEBz6LTHf3jfFF97qGYbKCted9n7tp53NgbCk6u19lrDfCq/Uxr3+0yVhNkSV7kwxn9frO2SZFeFyZh6FYBL/rgrLMp878wdES7AXKsoS2CXeqGlSxJJhMZmo7XMQlZSoUBbdtRDwyuvG/LL727zi++b5PCZwDIE5AkgO9Q7o0mFQZC4z6914VZlDcky1+Uus5kFnWRBZdVNKSeC8sxliRmseyJIggbXbtxOqlfTxiqAq5nXI6QXHTp9nE21syjl22WyBOgC2NVsZvHeGuBmjQBT6tUAr4A7LckV55r4mqPnPf7j70zyidsaRMJtTp8zdlV3Syx7F3Xea2y/LcwqScIa4MwBXPqdSrXls1Fy+Ydr1aOYwjlYVSyeldDmjkq1TjyrpjOVzGbRCCG1hbAWFuQiz4RmgC+i2EyyJNpQ8xLe+eo+qYZf/O1Jjp13zgpj4K5IFnsxZSl6XG+npnBWsq6gvBNfmjxwtBaicHLFuXClQDO/GHDj2Yh47Uua/KsfflUUJyn/9T98E4AncgOT082fjs31lx8+3X/53GTHti6O2YRVIK9tCQqhc7Yua/G1mNv+LM1fZ9ZgJQ3vpRyb9/nZ35rkk19uEEm386tY617OWJaG17uDuKY0qXy/McekAvgqW6+i7b/GbRzX5brw1Wl7+0ezvX0yBq82RlDo74oOL4PcjYN1HaHagTtrKE4S8L2U73/dAE/Bz/3WFMfOB7g5zNWLUBsrnF22WCOIsHLClwK/8l3cWDesVDSunib7voUWHwN6Bm53DkMv5crdU7z6+iu/Pje386dhadVxleNvgxMa/AAAKgtJREFUXLK9xZm9X+1s2zC1r9WopeV0ddkhqWQlS4xcrtXOfleU/38lGVJxSUrgljm4dZGpVCmnlxS/8NuTfPK2NcC9yha0B82X1S6dtdg7A/Nak3XHtXgG6PEAMzvbFdD/FdA9HmCO++LFmwKd/64FbyZ3NNUh+kXFYZYJLc05zLS5LrZGMXkForL6XCuSROKl8I5XD/j/3t1m02ycZzbLWc7iXtblVndHzmHJXZaSm5I/z7U4FS2ellyi7D1T/nnqp/1Ra9/nPn9bR4jZbw5w3IkWZvnd09PJ45OtAZ5KK5JDiKolOJ5xFKKQG5VMZH5xpIXsKMmSPMjMmTsb1qNJfcEHPtviE7c0iFQZ0N7YYwncYnXGclx3V3V1AdC1xkOU/e+19HWeyRTir4rvajZzVVKn6nuX0/q5JchqBq+W2BadP0Y7MJvS6DcjcpCnRuX149oodCrxUsM7X9fnR97cw0vTwj5cE+QW4GWQj7QLQF16P7MTbb2KqIC+Ul5bSs8bXRyLJIWVkSQJw8fPLnbevYb8fmaAP++6V7HnxFJ6aPkis9K3G5HmJnuZrSu+9WpXJZcrq2pLykVX1QAytwGzu9LgCW69u87Hb20wymc8lwFdYm8KaVLsq1MCNGWgZx3d7qIeA2054ZORcllrlwGd/cKqMtlvBdylX6zIlBKrr3JNEOR145ULwE2/KgO71BxRDj6Lx6IYyzK4c1jKbJ5KQm34vtf2efULB4hUF954qSircFqSEthtIBw7z3xkBLFj77jstFTqyQsPPHNcsos261eYnYZ/+N2bzZZNS+l3f9dr1zy+3jMd+Guu/nukyfDjhx4/e8lM/UQz8FO7/YWgIk/EGvdqBtN1COXMXrxfyJUiqSOyRI5IkZ5GePCXd9b46d+a4unDoWsYXgPY5cBSZNnK8cCymsipjoMwjGcwMxCXHZdx3VJJ3Y+B+puCeyyNuVqeiMIDpxxYjnniWQd7pUHZVB51RY8DuXsi0Fbt5g4L2l78Wqtc8wpjMClctTvmv//LNv9OwefvbFg9nk3ltMLf3vPnyh0gu3lKjJNSQEqhzZVL1UtTVLEaY/fYVJj8c+CIJ/QML7h0U++l17/y481m7RmPsXymH1x20RYTJE/85kUXXbSg3UESJeYdzzSurauzQDJd9bNxcAuR5uBWwg7xER585o46P/u/Jnn6iAP3Kq+7Kk2EdEElpZ0ZMv3NOKifRW6s5aqw+r4mW4+x8drofpb3zdjLrD+29Hpcr1dS9rBKe+e+eFmPl7W3ky65XClr86zMVit0JLl8Z8yv/VSb73pp39Kr1mtIlGeSLbZ3MjYQ5ZJFEDuGz9g8z4TmWVGRSxaBTW7tuuDihU/f+vRv1ie2P+OhfkYGB5jbeDmjYZtzJx/EsJzvb5N72ALKGc3MDRFlJwXH4s5VKf6/BciFKDS5cjUnePCZO+v8/G9P8uShZwK3LJjcMa2fS5PVw3uyLpzKAM1vBvYyZscsxDWKB0to/9Z1uBk7PTlbl36egTgflp//XpnNC0/c7kQ8zuZZlaGuZjmNAFd9iKtT0c6eEcJFr6UqGSK46oKY//JP2xgDnxtn8jVvmvIvaS3yiRWpAA+Bh3VyFDgmF7lFmApjVxphN6DdNNfk+ddcwuzM5LMe22cFeNDYOur3+//k/9fel8fZUdX5fs+p7d7bfXvvdHfS6XT2hYQIJJEwIQQQGRRG5g2izKgz49OnD/XpiKOjzgNmfKOi41MeM6L4QfQxfj6jwhjFBQiiAsqmg5AFErJ1muzpTnff7r5LVZ3z/qg6dZaq7nQ2AvjO53O7b9U5Vffequ/51fe3nmJj9/dJ7VBdzvNj85244dLEpNc/4Sk6QoQpkOiKKFHt3CQEoRHn/ulvcvjkbQ3YstvNBjcM6U3NWBORwKDEnECX3ilKoimMBphNsENPfBAzQN88NsRFSe4UPYEEbmL4TUyHKv1QObq0qEgpzxNaEpkJFbALs6GwrsTGuOQ30CjmGhQg3ELIxN0GUONYNtvHLR8aAePAz36Tl3bx9K80OqI65RyRZURYK1kMdMaVQKvkMhKQ2BrDOcO82d1jrk3fP6+3s3rCAEc4wFraZz1drLtgZKT/kTrbqoJzC2FoJY9DCHDHgKexvVvEdydApwrAE1oiAW6REMRi4BbB/U/k8Le3NuD5XZO54HVwUyIdOqo5MB3nrUvvTEcPBNiN2nhKNo/ErrSKa1Jddqf2GSxE6SCJuDZDaXWlUwG3OhmYcoo4j5NAAl2zkYsahzEXjwzRNKbPkSGaiOUbYk5OEbERiIDYWoCzen188X+MgHOCDY/nojVyVCxzFocqW/KLEgppTI+tO5Dc3AKSmimIPzMAEDIOl9fg52xcccW6kUULep/ee3CYTQZhOllnodiOXL7xyN4jtWt+snGN/68/DJH3KnBsWeiSmhJbCW8lscVEmAAtonBxxYljxWO5RfDwbz189H834Pk+Ae54ZQJiKpeCc8gMHTXOW1/TMg3gxLGDtCTXQZ7el2DXGKfuP97GjVeyX9mZcnBCsXkLh3sSbaj2QZPanKk8PG1dkbycSi6epL9FmUBcxLLUCJbM8vHlvxnGupUVWCyUnJyplpRJeDmLflzIJTcPEL2vcqDMgWoIBH4V77tyD755Y6/f3FC+pqW54ciMrmmTXtdJAU5IDr97bg+os2Rve9v5O9uaZ6Pm00QSq5yaKiBPlEwhrY3owMTeLV4WA7cJNjzl4UNfbMS2PhdJmSkygVIJAXbo1ARmdo7qvcyS3hNRlnTZtUxAq8A3Z4AcckxwZ7nvE48lTL4t7OGqjRwS2FAAy6TymYAeqhkR0h6eOIPUMhRqfRXDdh6bD3mNYEGPj3/52DAuXVWBpdnJRaitalZM28uFAspis6EAus8TxypACCzSg1XLzt25cvn8vWF5F+ryzqTXdlKAAwClFnL+r/vOmcvee9XaZWAhgef6EeWIbwWJU58mysihRhw3iV8WYbBcDmYT/PxpDx/5UiO29bvgmZzbkOJUB7dFsut5HzPtTE29MzCaqWwaklwHL9fGRf0Tw5un3sSbihhXKYj8BC6BzwyaAkVqKxPDLNwpQU41aa5aUXji3RRgt5L9EvCRU4hXCRbM9PGVjw7j4lUV0JABvgDwBNKc6Z5PlXOpEZTgHPBD0IAjtFbiqY30vV//1uN9ljWpVgvgWBwcwLnLuuHXxmA7hf3Dh8Ye7XuxeKFXGUBrvY2A0wnArVhNEr7NE9qSWFA8jj0DNh7/vYubv17Etj4X3J3Exi2kNpWBVAk1AVLZORPSFIiYb54BeH0SJChWvJlJUU2VriiTQ0S8adL/GNc5wTSXJ+IKH09M4gYHjxRUoozhBhdHomRGWOHShU8FdxcKZmRmlSEAJObqNObeDMSSVpcIidE/SgDiMyya5eP/fHQYN93B8OQzHvYMAHDVH0qVrCDBxY1ZHtNOK74XAWfoajiKno46rDhn3qNvvuLC/aOjZRCvcEyAH3sKAPjMZz6Lq95y6WA1LJZ++Uz+2u27DqG30wbnVIlRyXLFm/bxWJITDsvj2LbPwWfvKOLWf6/HnoNOVDtwQgeOGnNCQeJFolwSLTWiFq23RSEftRybshyIrGIVPwgylmKxKJH7xP7YiSSWpCax3T1ZIi9+JdtU2UfUMdnWnOP6D0Cr6Uf1iWnSL4ArY3gyI0nGucSUzHqaadM5NQAgIdDWEuKi82ro7AzxwnYbg0fjmyCmsXirTW/RZHqhZwEFCtTbDJecXcUn3r0C8+bM/tj+/Tse6+mZh6m0Y0pw0bz8Qjj5hqcXzibrq0dHrh4Y2oSmYi0CaxyrImgIISK/0jQHxkFUHsH2fTb+8fYi7t2QRyWk0a+ZIrhBopmpLbNNMqIFE/AoRUEn2KeHv0r+kezO8MFL6mJomSfZTAtL2jMpvXoqBxfuvijwKg5BTSS72A8l8hCKpUV6PClkEnOcihMfE1GXJC1eDZMVtgwC0IChoyXEO948Ds/l+Id/bcCOffENI4jsgURVp9VfHH8moXAA1FkMjS7D3O7l6O1Zsb53/qKnEZSmfC2PycFFW7a4A52NQ32XrF3x4fm9hfs8z4sUGEDGmyil1DJ5N+GgDsGOvQ5uvr0B9z5UQAXHD25hEowUSiW2hCp0BAbdEP+psg2jPwayFoOiCKsUJzcpClEAfyJIVo41Ex7U4boVRVcqk30Z8SdJLUMlt5MLE53q4QRJuHeicIpIQy2PU8kKUjk5owgrBB7juObSMm66fgRzZviRq5JnRB+Kop9KDIuYsAQcuXwelbDhvt75Kz+8fedwH3E6Tz3AAaC+qQvDhx/b09F93qZ83XQwFtMNGsK2fLnYEw1A42X7KAliTyUHzRHsPuzgptuLuGdDDG57InBT+aISlTSmJabVxFLs3/ojmqcqwwoPghiHVH8a3KbZxLSu6Eg/nqsqubfGw43/agUsNflY7U9Vp+X6+XQLiwJqo1KtKOYpLS9qmptUPrkSYquBXJgRA4I8OK59Qxk3Xz+CWR1+FG2lKpmJoimCtmpxYnMYpbmFIebM6sSl687btP7+J/fMjwv6TLVNmaKIlitMR75h5i1DAzvmEHbobY69Bzm3AseuJhSEJB5Onmh0NU7xn8+6uP2eAr6/oYAaiTN/U+CmaXArqLEg4kzSNQXNmt6pVDQgxXtVcANpkGsS2ZDepqKpYvx4WwJEjX7oZDVRKhOgx9SD8MQqoloekvXjAaVQTswuOIGVOItE8jKiwppKjRWOaOFZinjlMqI+LeJsf9Dkc6KZFP2jFAiDEJ7F8LY3lAEGfPWeOjzzghsvTKv+4Cj8KrrvIThjKPMcFs5qxoqlPd+95MLX3bJt+0vHfV1PiDn2v/hjcDqjYJfveMCvvrjGcsuRiz2uOFuX42jIs6jgCyUYDwnu/nEBN36tHkOjNnxOpXZnRAKmaEliHpRKpZDeSTIDNTyXSt0TVUlMTIhimyoTgQI0dveLB4a6fiVV3lsipiVWRK1Y6YzGifUwI6U0UjrjtTHjfrFmqKbYWoryK0riWer35fE2oJbCs5TxemK4XuJjouVh9H5ZhIkYCeNJiqFWfUyNJ5I+DqmPCb0rBKWATwiGRy38/e1FfOcnBYyFsWRhQDHPUZ+LJrNYBc72GtAxfc5jt37o8stf2DMw/p53vum4sXrcEhwAZs6/Es9sfGKcsXfWPnHrv6F/32FYJASPbZ2XnlfFX725jCVzAjBwfOtHBfz91+oxVLLFqq8GuGka3GRycNuK5BaSVC1Wn3LiqGNg8HKTc0ORzJrUVmNNdLYtLCRTFSGJ8pfsSI/l2r7YbBgL9SyXfUJRSEacChFpbCq/F/XFAUJ5wsdlqQaumAQj2yNFtLoyKNXKSBD1PxgYogRmjmjiMjDYlKO9McTnPlCCZXP83/UFhBRYvNDHX7+pjEvOrYJwIAwpgpAClot856U1Ajb+nouOH9wnDHAAaOtYipCxp85dfvnqZ1/4RX5weAhhWAO4j+e3eXjw8Rxu+9Qwdr9k4cbbixgq0cg7SbLAPRkHV5RKoiiVFKlEBt38xtMghsK9TZBP8j+TixMJ+snwTCbsMcAME6TKfrFt9CWTQIkeFBMhWmpEejcJjwlPhmWFEyVLH8KWHi1PSBmLzkOlEouE38c2cURZ+gLsFgVAGBi3QFm0WiHlAFgIFnC0FEP8r/ePIgiA3S/ZuO1Tw1jYUwOrWACzUfVtlMZbkW+9olzsXPRUPGtOqJ3wkTOn1aOtzv70x9655ivXX9NRmTm9DDgFwM4DNkVLU4gwBH72hBuB25oquMU+knzBrNhuajhxtMI9ikUlFQqrvFdxp9WeVrqyVkpLQTVTyZw6+1P5d3YntFgUQAGndpgePmsqqVrsClPGMum210vBSaVUxoiTWLkk2nvp4hex42KMJeuucCv22HM0Fhn++PwaqMUxOEQBn8KveajUcni+D/jdzqUVWnzzV/wg/2lCmk8UpicOcACoLxZYPfvpzVeuafrC2fNm1eq9HGzbweqzK7jlg8O44sIyls4NkLPjG64ESB0T3ERGCIogKj0MVoI5vUiUnluZsnsbtCQFdnPfRAooSQ2JtjmOv5nzIQElMXdrrngT1NKsaOZoGmZEFeyJZYXqcSxJsSDF0mKuAcRkcJawkyeBWGIfZPAW55HAqATA5u0OHngkj0/c1ohfb8qhGuQwVGoEdRfWdh/p/sI/f+NXN7tugeEk2pQ8mZO1kYbrwm0HO5+Eb9W6i8Pr3rRqiHzommGsXlIF5Qw5B3jw6RyGxuxJSjwY1pMYQbLcWkxNEmWRZyuNRFHQVPpiKJMq0FXl0fRmqt5L6Z0UfFucI35PifR0Co+l4uFMxqnexyw9IGvCQtcfQIynE4mfNMkYArkorfk5asgvz3yySb2CZzz10ksmiv3q32RfxlOUUob+QxZu+bciXhpw0X+kDs/uKuLwYAMIZrCFc+fffPElLV9cs2ik+pkv/Oik8HnCHFy02268Fvff/2CZnr14fW28/h/q2AYsnplHreYDnOOc+T6amhhwSIS9Th3cNpH1TOQqaDqAhTQXsSXJexU44CkQTQQwaDdZudvJTcuW+ub7qROUdNN4tqJoCpOg5NIRkHWOHiVFEE0BJUpsCle4PtE4PgOiFYpppKuo3k+AAoxFuiWL4EopwEHBeTRCJExQREuKR2OV60gjXQCc4OgwxTPbHcCxwO0cnttZACrAkgWr+JHxnvW7flMuX3DhdScLz5MHOAAsnN+DgHS96LLc9VZw9HaE99HowlJwHsY/UCQp2Dq4k3hvqclZRM2IV9zv4FqBTGoAV3PopBRMQ5IIIArpp2xD60vzcnMrZTxJJoLSbyqGihKpATmjT1M0jbFRljlR7N48sc5wBfAaLSES5MJrzlgEWBaXmKIMcTCWMN1JezmI4N4sAj+jcXJ5XEtR/PIE5CQ2/UVlja04cjAS8haiOJkAa/5oNevomnv9okXzX3xhx4FTAc2T4+CizZ67CN2te2s9c1fcuXEPvWHnkU4wzkCIhQee8rDviIMklps60YvIovRZklt1w+tFeySn1qtU8RSAMxVMQ4JrgFTGY4I+FdB68FHW+6k3Ptl+pTPTha/si7Ylt1Y9pLLGiuTZwiuanEdz7ytufbOAkBI3LhxHLFE41YQJK3Hri8TlMLQxo43j8tf7AHMAP8CVqzysWly54eK1K+/87ebDtWVLF58KaJ4agANAvnEJ9uw9EC5Z+hc7WjuvKx0dnYdqSPD4Fg8jIznAygGWp4DbhgQ3El4pPZXmwqy6kqjzVD4J/chIRxNQzFA0UyGxyivq16V2FlM57sYz3yYbieRMzICKe9+wsmhPBEEvEiCrIE7HsgD65NDADP14raAQk5YUqZjSZEnxkFkImI0gtOEHDvzAQUM9xerFNSCkmD+nG3/xlqtKf/7Wt+4YHdkbrl6x4FTB8tQBHAByuXr0tA3d1zVz9Qfauq8a3LFvGp7YWIcKrQecPIjlgogVGIzIJQId2DSOM4noCE9J7wmVsMm4NrImAElJ5JRgNiW2Os6kLyeAeFUSR9skJZXFOLltZPoIaa3Fo0ACX6UoSEtqHtMU3cyoSO7MNDf9PMzsY9KyEoYWgsCBH7io1vJAmMe5C6tYdZ6H//q2ywbfcOGqDzz3fO2+fK7+VELy1HBw0TraivGNOnw38pfa433+LeXq0+2eU4Pl0OQiBzxiYyIViUCX1mqEoODgKu/WubakKuJcmVYCRQxr+8RxBj3J4t8wtzOAnsL1JEAXVZrSHcZxGfw8CeFQ+TiR8Su6lI6XDFGVUih8PT6WKBNL3BtKhM4Qn5NAOoSgOIcYBSiLFFwQKA8WBfQ0nnQENd/Bgp563Pz+Sw8vWnLBJw6VancvX9J1KuEI4BQDPLmnpB3b947f1dn9FrruguBzpfufaB8PWFKeq8pJtOSFchGF9UMFd9a6OdJzmeGS16SzbgITWNOpCtHGqPQkOQDGScR5DFe9Pv4kLp4BYhDo1CPeH2NVKpSAjF0CIKoBZymbBCTxXiaTgAEsNrGKcwmllQFRCWaqPmW4zvHjLyM8qISLfTFVCS2EYcTLw5Cg6tehuXPN4SvO+eNPApW7TsaZM1k7pRRFbfNmFPDQgw/cOa+r8PHXLe4aJDxEvc1Q73B4VHdfpKwd0JOEJ8yOVxw6KeXSkMJZsdyZiqbYnGBiwPjeWe9VX/rxleHUwaxRElO51LyURBsvM+zFEJJBUUw6IxVOk4Igk4aoTiExDpLrq78oBnjNd1GtuVE+sj1nsOK3f3zH5l/cebrADZwCR89k7b71/45V665+rthQ308pfWOtdNSzLYpDo0AlrmwEQLOe2ARJdKBuQeGaw4YQrsV+q+llxJgYmmKaVLci2j79PTH2SydN8sSgarqYnpZG1ZS2lIMnnbImJk6WhzUrLkb2EaOf6PQKSBw70fmJPB7qe/EdSPL0k4o218ZGo3ja8qQKHcIThxqlDLbFYFsEAyP1KI1aaGzpKeUKMz9ASPCdecvediJ+3ym300JR1MY4YflC8bvnLuoKlky3vn348I5c+3AJv9+dw8BYHWDTxC6sp5pxLe5E8eAnNu/kAps31XxljVEHQL5PbOKTCF5dkk8s1skk5xBNjy/JPka43pPRRJBuSAqj0BbdOSQoi7KmfUxRJL0QTwHJz6O+eIFX8HgNKhLHU8VBWMKRQ6NycELaR58dAd21Q5TGfWzaxbGjz8a8OQsq0+zm97Q25+4dG/dPyg0/lXbaKIpoN3/07ehp8sO6/LR7Vy2f8Y73XDOj8qE/HURPWwUIaHKRGUfiiVTreJMY3GowlfBMUpIFYp3GqFLKpCXasVCwqU0WkhoLdZwB9hOh4XySDtPWrXKYhMJwdYxuzkt9hpoUAWkiTGzlif08vtIZ1pa0GRHaOeSqegyODewdAL7yvQI275tbGfU73zGze/a9m3d4YffCvzzd8Dv9AAeAv3rXtXjT6tFw3euv+4+OzoZ3bdm3fLxvfxH5HAfCaC1GVWu3qOLgoUpwlcrDk+3jl96Jchl/P03BJAY4M3g6oI9LJP6EpPwYTT7x9ShAIIV+CURjnwhl1Rw7JugNLq6BFoatHLJUSZYDiMmqtIxThHH+ZnRtOGwrgGOFGB710NWUxzv+ZNZ4S2fLu85q/S//8fXvHwzXrPuzlwN6p5eDq+2rd3wfV17dhnNWLdxy4WW5Xe319hscNpgrFo5irMwRcBcFC/CsOFOHKpk6kNJZTVxIc2iu9akBVfp+NVhKHasHQsmsHL2PqvybkIS3Z/PtbA5+zBegP4UyXhGYyATHytXftCcRMd5rY5CiaSk6R1S1WUp5MZ5SBtfxwVHB7oMhDgy0wCdnD8/tmfW+t/3Z8Hd/8OQ2fPDdp19yv+wAB4C7vvUz3PiFy/DGlV2bpne07bv2sra11120s/DLZyoYHK1Ho0eQswDH4no6mQHuFMBJhjI5Qb+q5OlKp1AQ9W1VkdSiCg2wQwEzPQGAgxhKZiZwdaeUpnjGb6gKWAOgmiJp0DfTRGo6vcSxWqfiZBK0hQDIuQG276vg43eehfaOSwba22Z9pP9w23esso/L3/ielxNyJ2WxPanGg6MAdd59sP/Hn//TGx5v37YrRHsdgWOpX0o+h1WJpqamHUt6p8Ev8ieNPk1aKxKdqk8JxVKSIcllyK0KdCVfU+2j6e8ncz1l7qX6FNJicIS1iMqQYUHhknFJvibXrEvqcZIvi/PItU6jtZOUcUk1Ai5pmUKVCAFsK0RdfgwjVRdP7n374asvu/Tvan7wzZldjWcEZ6fdijJRI3YzBkfGvum1XEXeflXr59b/8OftoyNDINSKA+p1u68qkcS11ZXBtFEE0CeGuTqxRgNUx40h4aJd+oN5EuNJ+rdmdRreSpLepQ2V3sZokO4PihwyWh8xOXh0BI8VdGldQUwxuMLtRcQhiZYuib9hlJXGE28puCzoGTlzCIKAwGczMHvhxYeXXXDxJwH2Tcs+M+AGziDAAaCloQ6l0uid77xqVTCzmX75Zw8+2vz8ziPwAw7Lkss9i5YFcsHNVYRnclXlmNRsALTHthipHSNMeMoX4PrwtJXleJsw+wkPpWk2VPoTMHMd9MkxqqlQ2S8UTIDr5kFBT2JNVcaR60456YiPowhZ5MThAPyAosq60d215mihZcXfhsz6tuseu37g6WxnFOAAUCzWg4X+3ZddvHLwwMGDc6dN7/3Cz3/xhOM6FNWKBT+MrSpUB7fZJpLichIY2S3IxLl2nLkPQAIc/XOMWTTFlmX3ToWhKAA2t9UQFXkumXQMLiNDhNtdl+Lp91zw9MT3r3xObEGJqA+DTRkIbIyMWbCpj+7ZK/yBkeLH22es3AGa/4nrnnF4nXmAAwC1HPbYU9vue8NlV7gvbN02Pq3J/upLe35Pnt1dos/vcdDsEVg0vthcB4GIOZnQ0qBKfE3Zki2L2qidqmQ3iMpxOoUyGp/s+Fi6wqAUJPswjcYYElzxC0nJrRQMUiU6gUyaSJ5cQmpzgjCMCpLlcxVs3kmw51ALO3/lct7U3vvBectnf6tS2l3zvGWnGiYn1F4WO/hU2ppVC1AuHagtmN1x9+ze+Uv++9u7bnzXW3JoLpYBAHk3kuLJoqCAptSrjiDRZUpvQAe7AC5XzoMMaZ9leZjEPSOOmJJEV23WysGTjFdUcJ7h1FHs4Fq8OESMijxOxLFw43xM6Re/XSirYUhRrjoImYV9R3w8uWMadgzOvrGjc/4S6nXfvW9vqZZveGWAG3iFSHDRli9bDABlPv7Vbcjzzz+wcZm7atnwp/f39VuezXC4BBwai0yJOTvK0zQLZU7kxUw7e6IWbacnQKLYTuWLm2T8eBs/zsMUaa7tTtz1UjoLaiGmRgJmQVkShVM+LQChOIq0wMjl7tgBRsYKODCQQ1vgoXN6b/imi5r/ae261Z8v8y3hN/5p1akBwilsryiAi0YK1+NL3/heeMN7r71p/4Ej9i9/9dgNe3Zt9EK8hK/fH2CsWoe8w3VubiiUEthEB7YirSeiJeqkUCmNtqS3ccCkNGcKzQx5BSTd0CadQkM02mJ8rhoWqx4PwcmTmBOuKZNin1gFgoDAsQjyno9RfwT3PVmHme1tmLt4eXX+2au/VKhvu2nHlm9j7pKXz3lzPO0VCXAAuOG912J4eASc809fcfnFdPBw7+qxQ3fTDRvD1Vu3VW3HIvBssSIB9DikGJS6ndoALqDNBBPUk5kB1YkzRSZyzKaCUAW7Sl+ygCyUyqhPAFYfG9EVmYYgoMwgkotF4FW8zKBw4AQUIYnWZArCAD5vCbYenP74n7/1SrZk0ZzHfYZPl8dLyBeKZwIix3VdX/HtU7f+ELbjFMdKo3cc6Nt97fjQAerXyghCC34oH8fCI2hT6VzRKAzSiijN8GBSY5Konk3dy2mOVWqjUN2rSVPnU/QHtV6LERacjDecPXIsV/q54SRSg8/McnZyrG1FRTUR93EO+L6FsQpHXcFF76xGNn1G5/fy+cJ/C4KgVN/5ypTYZnvVABwAnt28E/l8rq2/f9+Hf//MM0tDf/jqXz35IgZLFHmPJgqVbQGORZI6n2pL1QNPAVx3yasufhpL7KkCXJ6DJMclTxUYYJ4iwAlgeCWlJzOpMDsZwI27TgmHbXE4dhS3jVh627aPfYcB7i7B9I6G9UuWLtvU3Np5q1+rHqlvnHumoTDl9oqlKFlt+VlzAODIwf17/+e5yxbOGhp4DnUtLVf/dMPzCCojKFUoCKFRkBYFbFvhqoZLeaJm8nTNrHgMOqKZLw0kkYkGQqEkx7oAhqNHVRhVBXGizyCJB1JaSqLlsRlcArhuiDBkGBiy0dZSj67exfDts9efd86CjwyPjPV5+Rmn8e6envaqkuBq43wfAHveE8/sOfvokdqH/dHNa7/70Eb89tkaelotNNYT5NzI5V/1OYIQOjWIf70aHJUsPqXFneimRil9iSKF1XgTJaNHUCTFzEjjR4hGUQwprpeP45puoJV/VmJQonrh8r8afyJutNgmBAhCgko1ynrPuSGaijW0NR3FzsN1GAtX4+LVCx+pcefWCl3wHIG/fenctjN9y0+ovaokuNoImQ4A2znn2wFsOtI/1hXWL/h6x7Tt87ZvedYquBxNDTZqAbD3sA8/4HAdSUUANeg/quOXKKrIiOyDYaWAHJtlJZSpYropRHWZJ+eKLSPCqZLSc4k+Vn5onKUDxCsySDBH55GmwahQD4dlc3guQ80nODhgoVIlaCoS1BcctHReEHYsmLf94afd9/XMXb0fwDZCXrUy0Lx0r+62afsAgpDN2vdS34yWon3PE4//uqFgHagL2CHc+yhBadhGZxNHzo1Iecg4QiYlmxWvwmBbBLalc/KEmhgURQu9TVZvkFI8Ca2Nj6XRQdoTRM0lTVadoIbySNTP1P9H3JzH350nLyt2pxMChCwKhAKAnBuio7WCI6UK7nk4h7aGdvzRiu6x1asvGMl549c0t0/fS6jVFwuQV3171Upwsy2d1wrGWN/yBW39Q8Ols+oL1vntjf4dL/ZtrX94666m8dED8ByO+jxBEHIMjcb1PYi0JVvxf6JYYEwXvc5zY/e1IZHVCEXdLEnUw7Q4ErVeoWqyVO37ZnSlOBcVtm0a/Y+WP4mXIIkn0XCJwg+BlgYLlFLMnNFUWnfROYOze862O5qt97Z1zHnC9QrDANirXWqr7bXzS5Q2NHgAIDbNj/6IlJuu+8uBwdGP3vOD+2sDh/eQ1mKwiPFy7gePjKBoc3huVCDSsQg8h8BzKVwnkuLCXKY2xrjcF4PPIgSWFb0oJbAsmiwkm4Tpxk0Us0TMzcWTwqZRdWlL/LfSAWaMi2qtUM4XH28BnsuRcxlyLoNjRevmuE4Iz63gV89Ng+fkKwt7cy8sXDDD6Z133t09F3/wnx+462vezM6GSs0PWM/M14bUVttrRoKrramlEwDYyFgIm9Jvem71Lse2cOmFy6z21vqv1oKjC5472L+GjBywypUySmMhKsyHVbRRsCg8h8K2IytDEPIk1lpI+pABnEWmDIuSqGBOHNeR2LsTJZFo/FssKRLlYUZOFRFjQ2PRrJWHjhXDaHk/GTsSeSOjkGLOAGbzaEVGEsK1q8jnLJRrLohdRHdPLlzMFj9Wl2vcRtj49YRUQssuoP+Xd/C6xjnjZ/p+nc72mpTgk7X+A0NwPa95cODIZx9+6CH3uef7wlLFO9ez+Xl+eQAOraClwUFdnYvxMkNpLAClBK4TidNKNUSlysA5T+znth1JfMemcBwKx6awKZElGOPPDsNowoTxU0BIdyu22bs24DqAY3M4NhQuHS0GVa5SlCvRcZ4TWUOGSgxj5ciO3dLA0d2ZQ29PPXJe+Lv+/eQ/88XZ1uvPv7BWaGj+FMLaUWK/Oq0hJ9r+4AButru+90sAZC1Y9Y02G7uG8OrCvFsDK2/FwHAJD/w6RH2Oo63ZRVuzjYHhALv2hbApYiqDGNwEnmtFL4dGNnjF5AcAtQAoVxj8uByIWLqQEALbjihSzgVyLofrcNgxyD0ncsLs3Euw7zBBQ4FjWgtHWzPDrzdbGBvzsHb1IsyYVkBrc25rZ4d9TyFPH+Qcj7RMv/xMX+Iz2l6TFOV42l9fuw4AHhkYGHwEwKNhGM71K0fZvu07WEdX1+yK3ft3R4/sx8zOPHpa+/DopkPY/ayH9gJFc4MNxgj8AOCgcBwCi1pwHMCJryxB5HDKexzVGsPA0QCVGkfOo7BBI04f0w2LUHCHx6DmcWYOg2tV0Vgcxe4jIQ4d7cHli7vR2Rpg3pxp2HZ0/+cHtpZ2rVx5Pp3R1Uod294B4IH6hqYzfWlfEe0PXoJP1Pr6DyKX85r29O9fu2XLFnS05vxzF4d/s3V/cNmmF10ULIbNm36Plw6WUKsxNBcpmhoc1OU4Cl4NeY+jXAFGxgga6oDerhoq4Ri+97CFsGqjp8NGsc5GaSxAucqQ9yy0NRcwrdVFc5GhpbGGcgWosWa8bvky1Nf7eHYXR//+woY57bUvtzaFzrz5i9DY1PVIENSGvMK0M33JXpHtD16CT9RmzewAgCEAPwKAoLwHIOSFhXWsY9o0ynjo48DeHdh/pAJOQtg2ReCH/vlrV94MXroy71T8sUqInS/Z6Gy10Tu9iiorYfEhD6i6mNVpobPVwq59PkbHQjQ3ek5He+OPD+3ddLPr2E5dPkDAOBgromPGUuRyBOfUgc6f6x4EsGvxvFNfavi12P6/BD+FbcvGJwGgY7R0sDHnjPHxSoCtu110tdvo6aihysaw4XcuUHPR3W5h+jSCbXsClEYZ2ps9Mqtn+jDn/ODaCy840z/lNdP+H1HO9E0sVy+iAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjAyOjA5KzAwOjAwFYGCbAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODowMjowOSswMDowMGTcOtAAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30212551
{'hecke_orbit_code': 9007405446727216, 'n': 1, 'trace_an': 8}
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id: 30212552
{'hecke_orbit_code': 9007405446727216, 'n': 2, 'trace_an': 0}
-
id: 30212553
{'hecke_orbit_code': 9007405446727216, 'n': 3, 'trace_an': 0}
-
id: 30212554
{'hecke_orbit_code': 9007405446727216, 'n': 4, 'trace_an': 0}
-
id: 30212555
{'hecke_orbit_code': 9007405446727216, 'n': 5, 'trace_an': 0}
-
id: 30212556
{'hecke_orbit_code': 9007405446727216, 'n': 6, 'trace_an': 0}
-
id: 30212557
{'hecke_orbit_code': 9007405446727216, 'n': 7, 'trace_an': 0}
-
id: 30212558
{'hecke_orbit_code': 9007405446727216, 'n': 8, 'trace_an': 0}
-
id: 30212559
{'hecke_orbit_code': 9007405446727216, 'n': 9, 'trace_an': 0}
-
id: 30212560
{'hecke_orbit_code': 9007405446727216, 'n': 10, 'trace_an': 0}
-
id: 30212561
{'hecke_orbit_code': 9007405446727216, 'n': 11, 'trace_an': -8}
-
id: 30212562
{'hecke_orbit_code': 9007405446727216, 'n': 12, 'trace_an': 0}
-
id: 30212563
{'hecke_orbit_code': 9007405446727216, 'n': 13, 'trace_an': -8}
-
id: 30212564
{'hecke_orbit_code': 9007405446727216, 'n': 14, 'trace_an': 0}
-
id: 30212565
{'hecke_orbit_code': 9007405446727216, 'n': 15, 'trace_an': 0}
-
id: 30212566
{'hecke_orbit_code': 9007405446727216, 'n': 16, 'trace_an': 0}
-
id: 30212567
{'hecke_orbit_code': 9007405446727216, 'n': 17, 'trace_an': 0}
-
id: 30212568
{'hecke_orbit_code': 9007405446727216, 'n': 18, 'trace_an': 0}
-
id: 30212569
{'hecke_orbit_code': 9007405446727216, 'n': 19, 'trace_an': 0}
-
id: 30212570
{'hecke_orbit_code': 9007405446727216, 'n': 20, 'trace_an': 0}
-
id: 30212571
{'hecke_orbit_code': 9007405446727216, 'n': 21, 'trace_an': 0}
-
id: 30212572
{'hecke_orbit_code': 9007405446727216, 'n': 22, 'trace_an': 0}
-
id: 30212573
{'hecke_orbit_code': 9007405446727216, 'n': 23, 'trace_an': 16}
-
id: 30212574
{'hecke_orbit_code': 9007405446727216, 'n': 24, 'trace_an': 0}
-
id: 30212575
{'hecke_orbit_code': 9007405446727216, 'n': 25, 'trace_an': -16}
-
id: 30212576
{'hecke_orbit_code': 9007405446727216, 'n': 26, 'trace_an': 0}
-
id: 30212577
{'hecke_orbit_code': 9007405446727216, 'n': 27, 'trace_an': 0}
-
id: 30212578
{'hecke_orbit_code': 9007405446727216, 'n': 28, 'trace_an': 0}
-
id: 30212579
{'hecke_orbit_code': 9007405446727216, 'n': 29, 'trace_an': 0}
-
id: 30212580
{'hecke_orbit_code': 9007405446727216, 'n': 30, 'trace_an': 0}
-
id: 30212581
{'hecke_orbit_code': 9007405446727216, 'n': 31, 'trace_an': 0}
-
id: 30212582
{'hecke_orbit_code': 9007405446727216, 'n': 32, 'trace_an': 0}
-
id: 30212583
{'hecke_orbit_code': 9007405446727216, 'n': 33, 'trace_an': 0}
-
id: 30212584
{'hecke_orbit_code': 9007405446727216, 'n': 34, 'trace_an': 0}
-
id: 30212585
{'hecke_orbit_code': 9007405446727216, 'n': 35, 'trace_an': -56}
-
id: 30212586
{'hecke_orbit_code': 9007405446727216, 'n': 36, 'trace_an': 0}
-
id: 30212587
{'hecke_orbit_code': 9007405446727216, 'n': 37, 'trace_an': 8}
-
id: 30212588
{'hecke_orbit_code': 9007405446727216, 'n': 38, 'trace_an': 0}
-
id: 30212589
{'hecke_orbit_code': 9007405446727216, 'n': 39, 'trace_an': 0}
-
id: 30212590
{'hecke_orbit_code': 9007405446727216, 'n': 40, 'trace_an': 0}
-
id: 30212591
{'hecke_orbit_code': 9007405446727216, 'n': 41, 'trace_an': 0}
-
id: 30212592
{'hecke_orbit_code': 9007405446727216, 'n': 42, 'trace_an': 0}
-
id: 30212593
{'hecke_orbit_code': 9007405446727216, 'n': 43, 'trace_an': 0}
-
id: 30212594
{'hecke_orbit_code': 9007405446727216, 'n': 44, 'trace_an': 0}
-
id: 30212595
{'hecke_orbit_code': 9007405446727216, 'n': 45, 'trace_an': 0}
-
id: 30212596
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