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mf_newforms • Show schema
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{'Nk2': 13680, 'analytic_conductor': 27.30883749127789, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3420, 2, [1711, 1901, 2737, 3061], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1369, 'dim': 10, 'field_disc': -2741904714240000, 'field_disc_factorization': [[-1, 1], [2, 12], [3, 2], [5, 4], [10909, 2]], 'field_poly': [3125, -1250, -250, 450, -35, -48, -7, 18, -2, -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': [[7, [324, 0, 2232, 0, 1828, 0, 457, 0, 38, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014742140423516, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 13680, 'analytic_conductor': 27.30883749127789, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3420, 2, [1711, 1901, 2737, 3061], [2, 2, 1, 2]], 'conrey_index': 1369, 'cusp_dim': 696, 'dim': 46, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 343630941532, 'hecke_orbit_dims': [4, 6, 6, 8, 10, 12], 'label': '3420.2.f', 'level': 3420, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 744, 'mf_new_dim': 46, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 46, 'sturm_bound': 1440, 'trace_bound': 5, 'trace_display': [0, 0, 3, 0], 'traces': [46, 0, 0, 0, 3, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4, 0, -8, 0, 0, 0, 31, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 25, 0, 0, 0, -12, 0, -14, 0, 0, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -11, 0, 0, 0, 8, 0, -16, 0, 0, 0, 1, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 10, 0, 0, 0, -34, 0, 56, 0, 0, 0, -18, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -18, 0, 0, 0, 14, 0, 76, 0, 0, 0, -28, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 0, -44, 0, 0, 0, -10, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 62, 0, 0, 0, 10, 0, 4, 0, 0, 0, 19, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 39, 0, 0, 0, -46, 0, 4, 0, 0, 0, 20, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 36, 0, 0, 0, -80, 0, 0, 0, 0, 0, -23, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 54, 0, 0, 0, -8, 0, -30, 0, 0, 0, 79, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 92, 0, 0, 0, 50, 0, 48, 0, 0, 0, -12, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -22, 0, 0, 0, 22, 0, 46, 0, 0, 0, 25, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 129, 0, 0, 0, -2, 0, -108, 0, 0, 0, 4, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -18, 0, 0, 0, 64, 0, -64, 0, 0, 0, -5, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -40, 0, 0, 0, -48, 0, 60, 0, 0, 0, 48, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 5, 0, 0, 0, -8, 0, 48, 0, 0, 0, -88, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 18, 0, 0, 0, -136, 0, 246, 0, 0, 0, -102, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 18, 0, 0, 0, 24, 0, -22, 0, 0, 0, 56, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 26, 0, 0, 0, -64, 0, 24, 0, 0, 0, -70, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 121, 0, 0, 0, -72, 0, -92, 0, 0, 0, 170, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -65, 0, 0, 0, -52, 0, 110, 0, 0, 0, 54, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 153, 0, 0, 0, -92, 0, -48, 0, 0, 0, 13, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -1, 0, 0, 0, -24, 0, 154, 0, 0, 0, -55, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 52, 0, 0, 0, 46, 0, -12, 0, 0, 0, -42, 0, 0, 0, 0, 0, 230, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 85, 0, 0, 0, -172, 0, -32, 0, 0, 0, 54, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, 88, 0, 0, 0, 12, 0, -236, 0, 0, 0, 120, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -178, 0, 0, 0, 0, 0, 138, 0, 0, 0, 30, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -182, 0, 0, 0, 164, 0, -14, 0, 0, 0, -73, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 210, 0, 0, 0, -24, 0, 192, 0, 0, 0, 140, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 154, 0, 0, 0, 168, 0, 104, 0, 0, 0, 34, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 110, 0, 0, 0, -20, 0, 40, 0, 0, 0, 47, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -81, 0, 0, 0, -262, 0, 142, 0, 0, 0, -212, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, 116, 0, 0, 0, 27, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44333059
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 1369, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18014742140423516, 'target_is_minimal': False, 'target_label': '3420.2.f.e.1369.10', 'target_level': 3420, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44333060
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 229, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503943258309748, 'target_is_minimal': True, 'target_label': '1140.2.f.b.229.6', 'target_level': 1140, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44333061
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 1369, 'target_dim': 10, 'target_embedding_index': 9, 'target_hecke_orbit_code': 18014742140423516, 'target_is_minimal': False, 'target_label': '3420.2.f.e.1369.9', 'target_level': 3420, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44333062
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 130604389227304516, 'target_is_minimal': False, 'target_label': '5700.2.a.bd.1.4', 'target_level': 5700, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44333063
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599934020, 'target_is_minimal': False, 'target_label': '5700.2.a.bc.1.2', 'target_level': 5700, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44333064
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1369, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014742140423516, 'source_is_minimal': False, 'source_label': '3420.2.f.e.1369.10', 'source_level': 3420, 'target_conrey_index': 229, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309748, 'target_is_minimal': True, 'target_label': '1140.2.f.b.229.1', 'target_level': 1140, 'twist_class_label': '1140.2.f.b.229.1', 'twist_class_level': 1140, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3170250
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 18014742140423516, 'p': 2}
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id: 3170251
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 18014742140423516, 'p': 3}
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id: 3170252
{'charpoly_factorization': [[[3125, -1250, 750, -400, 225, -44, 45, -16, 6, -2, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 5}
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id: 3170253
{'charpoly_factorization': [[[324, 0, 2232, 0, 1828, 0, 457, 0, 38, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 7}
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id: 3170254
{'charpoly_factorization': [[[50, -62, -90, -13, 6, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 11}
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id: 3170255
{'charpoly_factorization': [[[40000, 0, 50400, 0, 13700, 0, 1440, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 13}
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id: 3170256
{'charpoly_factorization': [[[144, 0, 6432, 0, 7408, 0, 1697, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 17}
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id: 3170257
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 18014742140423516, 'p': 19}
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id: 3170258
{'charpoly_factorization': [[[3873024, 0, 1283712, 0, 133648, 0, 6112, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 23}
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id: 3170259
{'charpoly_factorization': [[[8920, 3952, -138, -126, 0, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 29}
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id: 3170260
{'charpoly_factorization': [[[48, 288, 92, -32, -8, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 31}
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id: 3170261
{'charpoly_factorization': [[[1893376, 0, 5963392, 0, 697092, 0, 21512, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 37}
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id: 3170262
{'charpoly_factorization': [[[-480, -960, -350, 2, 12, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 41}
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id: 3170263
{'charpoly_factorization': [[[10771524, 0, 13535232, 0, 959488, 0, 24137, 0, 258, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 43}
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id: 3170264
{'charpoly_factorization': [[[38192400, 0, 26640816, 0, 1487224, 0, 31601, 0, 294, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 47}
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id: 3170265
{'charpoly_factorization': [[[2715904, 0, 1563520, 0, 236880, 0, 10640, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 53}
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id: 3170266
{'charpoly_factorization': [[[3200, 1088, -280, -68, 6, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 59}
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id: 3170267
{'charpoly_factorization': [[[-180, 552, 94, -99, 0, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 61}
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id: 3170268
{'charpoly_factorization': [[[10240000, 0, 2975744, 0, 264768, 0, 10160, 0, 172, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 67}
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id: 3170269
{'charpoly_factorization': [[[9600, 12480, -680, -260, 2, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 71}
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id: 3170270
{'charpoly_factorization': [[[2171560000, 0, 256087984, 0, 9050252, 0, 114705, 0, 578, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 73}
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id: 3170271
{'charpoly_factorization': [[[-4096, 5120, -784, -104, 12, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 79}
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id: 3170272
{'charpoly_factorization': [[[274233600, 0, 38784384, 0, 1773328, 0, 35280, 0, 312, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 83}
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id: 3170273
{'charpoly_factorization': [[[-200, 2320, -210, -210, 6, 1], 2]], 'hecke_orbit_code': 18014742140423516, 'p': 89}
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id: 3170274
{'charpoly_factorization': [[[1737889344, 0, 149338080, 0, 4745700, 0, 68560, 0, 440, 0, 1], 1]], 'hecke_orbit_code': 18014742140423516, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 5, 'label': '3420.2.f.e', 'level': 3420, 'portrait': 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FoQpwGLHclg5BN4AmE0c1OadZMpS52QzkAwTHyW+4KNk5rFtub4OUXND9g4A1vnIjbMDlk/O2Lj7IitGwzbNyqu2OZTV02OHJ/g608HPLo/4cljManq8l0vbXPLzYa6mmX/sSmOnPY4dT7lbAbugwuGG66a59d+cJlt6yY5fX6K88s1Fts+S23JSjel00vpDQX7jy6w/0T7iicOzL/s8MlzO4+ePn/rTa99e3TvbR9/riHxLd3+QTP40nKbYWTwFO++97HDN//K7/6tfMdN+2/+N2875c0vb2CpPcFiu8FiO2Cx7bHYhqV2ylI7ZnEl5ewKHFoUzK1b4T/98CI3XtrgxLkZTp9vcnrB49yi4exCwsn5lPPdhKmZIS+5pseLLodA1glVyLmlGmcWPM4uCfojSBJNLdA0aynTkwkaOHY2odODHRt8mvURxggQAb2BZvvGEYsrHhgrRVZ6MErAYFhqR2xZ79MdKIQyCD1iouazfdOQlb7g2GmPVHvMTkhaNUHoQ5II+iPJ2SXJmUXDueWEMByCn3DTlT1uvkowN1FncXmCE+dCTi/AuYWEc0sJp5bg0KLhBVcu8Bs/vMzGqQmOn53h7GKd+eWAhbZkaSVluROz3ElZ6moWupITHVhZ6vLb/2aU/MBrG/cFcz+pg8YV9wn0rxh8gtrEcw2VC97+wTL4B//iE9z8ouv5hX/7b3/zI5/46r95/0e+fPHe4ys7D57uy5dc3eWizZpUexijMMayN0YCEhAIYfCEIZBwerHOgwcl1+xe4vJtQxo18D1J4CuCwKNZlzR8Sb/ns+9ojTseDTh2fkQnidl3YsSG2SXe/JJlrrm4ywsub3N0IWGhL2iEQw6fNrQ7Ta6+SLIyTNlzVNFqeDxzDC7ZbBhGKcM0wPNipluw90SI8lJ8meD5MBhJbry8z6AvuebilM4g5djpFrs2KpqNiJWRYf1Un+Veh499FR4/kvLkkSE7Ni9y7WUdpmci3nRTl+99uWH3xhZpPMWRU5McOulz4qzm5PmYk+dTDp0XHF+Jed6l8/ynH+6yYWqKE2dnOLfYYH4lYLEtWW6ntLsxK72U5Z5hqSc411csdxJuuHyBn3vLeVnz2Llw7tiuwTB5Ya11Ub3WmP7yI1//NH/4xx95riGz5u0fJIN/5KN/y9WXbVH3PXzwPxw5fvZXH37yqDq7FLEwVJzpG67ZcY7f/pl5rtvd4NziNIvtBkvtGkttn6WOx3IXltspy52EpW7CQhtOLAu8+pAXX7XE9708Ytf6Jiu9Cc4v1ZlfClhoC5baViIsdzWdgaYzMvSHCbMTMds3aEAQ+oaT532EDNmxXrFrs2Hz+j7nlkc8caDF8y8xNOrLPH1whlYzIop8Zqc1gyFcsX3Ih786xWXbEkYjw7pJSZwOaNVCnjk6pO43ue7ShCcPR5xbDNgyG7JrE2zfGKFUzMkFCHyDEIYdGxKmW5LuIKTX9+n0fZY6iqUVWGxrltopC+2Us21YHKZs39Lj+16xwIsv96j5E5xZmGBhucbCisdSR7Dc1qx0Y5a7KSs9w2IPznYV51YSbrzsLO/9mUUu2dJksT3BciekN5xE1i5Jg/rG39Tyot8Q+nT60ld+z3MNnVW3f1AA379/P/VarX7q1Mntjz7+zDuPHDv1n/cdPMkwknSHsDKwjHK6m/CCi87y335miWsvqnN+eZrFlQbLnRpLHZ/ljsdyB9pdzUo3YbmbsNQxnGsLTvcMiB63vLTNm27UXLSpRhQ1WG7XWOkFtLuK5Z6g2xcMR4YoMaQpKGkIfaiHhqkJw/qZGM8fcuhMxFMHQ3TS5A0vjPD8FR7ZM8nOTfDFBxNeenXI+faAmqdI0piZaUhiH89PWFxs8JLrO3zx/ha7NsHDB0b4NHj9jZpEDHjqUMqRkzU8GbBh2mO6KaiHgiAQKAGJhig2DCPo9g0rPU23r1npaxZ7hkGasmNrnze9qM0tN0egWyyuTHJ+qW71dsdjuQ0r3ZR2L2ElA/dSH850FPOdlBdceo73/sx5rtxRZ355ipVug3YvpNPzWekIwsZWaq0N/37Tliv+euvWLceHw+Hgkksvfa6hVNz+wQD8+NGDzK2fCw7sP/ij+w8ceN9DjzwuFpd6cjjS9Iaa3tDQGcDKQHJ+IDnTjbnx4vO85ycXuf7iGgsrUyyuNFnuhKx0A5a7HitdQbtraPdSVroJ7Z5muWc43xWcaWump/q89gVdbro8YccGxUTdp9OtEfoSUESJRGuBNtAfAkIz3Rpy4JRBm4jbH24y6te5eEvAi6/pE+sV7np0iusu8Tlwtkd7eYIXXdPny4+EbJgx7Dlm+Odv7bDnaMiGGckdjypefIViqd/h8IkZrrs04q6nBiSjBjddGbB725BB0uO2RxSkgkMnPSYaHp6A/kCijSDVhjgBpMYLNO2eodmK2bZpxM1X9Hnt8xNmmzXOLU2yuFJnuWOPzXJH0O5Bu5vQ7iW0eyntvmGpLznbFSx0E1542Ty/+ZPzXLurxvzKJCvdBp1eSKcf0O17dPuS7kAQpzW9+5JrzM5du3/uot0XfXBhYSG6/LLLnmtIAf9AAJ4kiYxGgzc//PUvXtzrJ+998KFH/MEIhpFhMEzpD9MC5N2BoD0QnB9ITrcTbrriPO/+yXmevztgpTPJ/HKLdq/GSjdgpefR7irafej2DJ1+Yt2BgabdN8z3BPM9iNMR114yYONMSq9veOOLRuzcqElSiScNUQx3PlHj+Pkam6YTnj5UA93g8q2K6y/ThLU+jxzoM7/Q5KqdTSamlrn/SZ8bLqmx2F9heXmCjRsND+5R/NNX9Xhoj8fW9T4LvTbLSzNcf0Wf+59OmalPcdXFPc632zz47BR1r8kLLjNcun0IsscTRwTrZ2LOzcfc9YTPMFZICak27NwU8doXRXR7is3TmusvgShqsNRusNQOWen5dPqKdk/S6UGnb52Sbj+l09es9A1LA8mpjqA9GPHiS+f5jZ9Y5gWX2Iuj3a3T6Yd0+z7dgUe3r+gNJb2BoNtP6Q0Srrv+BbEx6hff/rbvPtho1j8X+L5+rrH1nGcyR8M+cdT/4eNHHvnt82f2z5w7v0yzbtPUQhgwBlP8trUAhTBIaZDS46H9G/iVP/F464uXeNerlti1JeLs4gRhUKceBjRCn2bdo1uXtAY+k03PXjCDlA0jzWBk6A5DluZrnDxhiBLNqbMJYWgAQaAMnhT0BwqBT9L3eN5Owe7Nhu1b+ozSLl96SLH34DSve37I9Vcs86EvGQLRYOeWPk/er9gypVg30aem6kSxz/kuNGseWzcIHt8bcf2ldV5+3QJ/9vkBgd/iNS80+GGfrzwY8cUHmjx7pM5Fmxvs3JQyNx2xa13M1TtTlNJ4ygCGRhgyNxUSxT7dfsDTB3xbojDIgQi9oaHXt9+9O0jpDQydgWFlAPN9xbllQ2Oyzc+/YZ7vefGIay9qcmZhgnavRrcAt6KX/Zv9oWAwMoxiiBO4+96H/MnJ2d+e2/DQ0itfeuP/2e31/6zVbDyn+HpOAR5HPRD8xJmj97378J6vzYz6XephgMmcEIOwH1GkCEAIkMJ20ihpUDIlkJInD8zx2P4mB06f560397j5yiFTrQmW2g2anRoTg4Be37MnZygZDD36I4/hyDCMNFFsiGNDktp7lAQYDVIJfE9QCwRTLcF0Czau02zd0GfddJtbH4G7H/ORepLXPd/neZd3uffZmGg4wYufJ2gPBpxfbHLTpZp1U33qXsgwUcx3YpQWPO9Sj0ZrxKP7arzs+kledG2XR/cpMJM8/8qAH/+uJb78eMQdDzXZc7zG9jnFxpk6060Gky2oh+B7BiVBG9hzRJCmgjgRRAmMYux3HKUMRprhSNMfavojTW8AnRHM9yTnuzDSQ1593RJvvrnND7xGkyQTnF1o0unV6A4CegOf3kDRHSj6Q1GAezDUDEcpo0gzGGnOHz3N6b/+0kxvkP5/v+dNL/M63f6fTLSeO5A/ZwCPRosI0h+fP3nXu88dv2O9R59WM2QwsquaABASgUAIhRACKcnADUoZPGXwlabuCxb6dT761a185bEOL716hR989QpX7+oxO9VgcaVBdxDSH/gZsJW9R4JRLIkTQZLYpd5ky4WSBs+DWgCNumamFbNlfZ+EHgdOxXzsrhqHTzSZCuvccKXHTdd0eHB/m9u/PsELL6mxfVOfD39VoETIRCtmpTdCG1AC5ib6dLoBOqnz5pee56NfbLD7XI03vbBPFC9y11OzxGmNG69cz5tu6HDJtjZfebTPkycaPHEkYOuMZGZC0AgFgW8vQilACIM2oLUhTrKLNTaMYnshDyMYRNAdCpZHgqUuCG/IdZet8IOvXeGlV6bMTtRZ7jRod+t0+yG9oU9vUK4E/ZFkMIR+duEMhymDSDMcGUYRJFpx8mybD/7VHev7I/Pu7/2ul5gz55b+dNOGmf9nANws/WfOLl5B//ynfySJeu/tzD+zTtGhUa+BSDLe9hDColwIiRACISRKekiZopTIlmeNrwyhZ6h7guWhYrE9zcfvbPLA0z1efO0KP/iaFa7b3WY2rZMkIf1hjd7AZzDyiGJFnEiSVJJqgTbCZkGFIQw0jVpCGEQE/ohTiyM+/7Dk4MmAIyenUTpk96aAK3Ypnn95BxXO89ShFlumGlx1EWycW2apM8HVWySJNtz6UMioL5lqJrz+xiGfuyvm+NkWl13sc2ZlyDOHfbZtmObaXfPc+2SX+58RjKKAy3fNcPm2kMu3djl0ZomDp+ChvQ0OHG7S8AShJ2mGhpoPUlpiMMZerEkKUQJRKuiNBJ2hoBNDpBO0GfKCSzr84Gs7vPTqlE0zIcPhJIvtGt1eSG8Y0B949IaK/lAxGAkGQ8lgZPtGh6PUevwjC+5BpBlG1tGJU8Wxs23+8K++tv6xg/PvnZxsJL/1/i9+6JFnj/Ox//5T/3gB/m//y+/B9N8QtPkBLzn2u8POmSkfn0athhAxYCWIEGSsjWVrKVBK4CmVPWo8leJ7gsDTBL4h9A2NIGWqJuiOfJY703zi7gm++sSQDdN93vmKNpdvGzIc9Lhql2HbRsUo9knTMs0vMEip8b2UY+cMR84KVgaaz9zb4NTCNCbyma4pNs967NjocdEWuGp3By0XeP/nmiwtTfLCyz2u2t3mK08IROKzflrSbCT04wBpJBiJ8gLaQ8G5JcGVpsErnt/lvkfrbF4X8MKrZvix71rgg1/s8tC+Jr2hz+JKi12b61y2qc+Nl3Z528u6nF5a4jP3hiz2Q46d8Tl1KsBXAintqqeNIdUQa0OaaKZnY665ss9oFHP5thFvf8WI9ZOKmVZIHNc4M1+jPwjoj+wqNyiALS24R4LhCLsSjFKGkWYUpVYCxSYDOQxiQT8SDFOP06e6PP2396+76qK5333RdXPxx/77pR9ZOvFfmNn27/7xAfxn/z9/xYYXvUv80L9V79g6+dQff9/Ln2pctbOGFI2MpUuNXWhtaaWClBIlJZ4SeCp79AS+lxJ4gsDX1HxDPTY0IsNkLWW6LuhHkm7U5MjJJu/5yAzoBJEkPP+aPrs2RiQJaKMxxiZxpBBIJfD8gH3HA/YcrNGsebQCybqGYG5Wsn7GY/OcYsemlMt2rJCKRX7vkxMcOz7FCy/1uXxnyiDp8vWnQqbqPrOThqlWRKNupZDWkvZQsdQzLLZT2r06L7lqhYf39Nl7XDE1UePGK6f4yTcv8vufgkcPNukNDCtdj3NLE2xc12D99JAds0P+7Tv6TDTaPHkE9p2Q+L5BKYMQGjD2fwaSBHZuTHnx1Qlp7BMnIcY0GEY+ZxcCBiO7og0jVci3QSQYjgTDyLL2KLJZ2dFIM4o0w1hn75mCuQexYBALupFgJRZ0U0Pa7xN1Hpn6nhfO/fH/XJxPhvrffLx9ctJMbv35fzwA/1fv/hg7N82oJ77yF7ccOL78ob98YLH2+N5p3vPP2ly+3SCzkyKERooQKQ1K+ihlUFKhlMr0tsT3rOYMfMXIl4wiTRiljGJDPdaMYk0UGSYSGMWaUQJRIhjGklEaEqc19h5s8sReSI3BQttqY19CoGzNRyuEqzbBRB0mm5LplmJ2ymP9DGzfOGLT3AqxWeL3PjnJocOTXH+R4qKtkt1bl/naMwnnFid5/i7J9ISmFgwIZYhRgiSVCGNI0ojlXo1ziz7XX17neZd2uffRGhumBY1ai+sv1fz8LYv87qc0z5xqsdLTrHQV88se66aaTE/UmZ6YZKIRM9eM2XF9ROgn+F6CUilS2GDCYC+qOFacn/eIE0WcKKJYMYqzx0gyiiWjSDKMJKNI2AA1Eowiwyiyx3UUpURRpulj+/4wgmEsGMbQz8C9HEt6UYIeDnjezmV+62cXee3VZxqd5dqHUvl+Lfxdn1w69ofpzI6f+c4H+K/9148y1QzU0WNn3n746Jk/e/jZUzVaM3zpQR/fE/zGT65wxbYuSqZIpS24lY9S2j5Kg68MvqfwPYMfSQJf2JPgC0aBIoot0OPYECWpdUUS555CkhrSVJNqrN7WFODOpZAnwfch9AS1UNAIJc2GYrIhmZ4UrJ9J2LGxT6u5wifvi7jrqRlWFia4ZrtixyafS7YNScUKtz7UoOl7zE0rWo0hTx2CZw97XL3N0B8prr0k5prdhrNnUuaXAwbDBm+4ocs9Tw44cErRrEvCYIKrL9L8xo8scuczAz535zoWO4Yd61OW2x5TE4rJpk+r4dOsG2qhJgw0oZfiKSu1ZNZaaQw2YaUFiZYkqSBJBHEiiRJBHEtGsXVeolgQxYYoglGcEsWayCGOUezeLbgHGbg7saQdQ38UI+Me1+9c5td/aok33Kjp9ifp9Y/UZFj/CxGE/4dR6/7m9IEPpJsv+bHvbID7Qsul5fa7jh499Qd79x6vTdU9OokiEhN89n5JNFK8/ZUd3vHqHtMTKV2p8WSa6Wyrh33Pw489Qk8x9C3TjHxJFAiiWNiTEyviBKJYWgchKW2/JNWkqXUXUpM5JZlbkrszSlrZE3iCMJDUQkmzLphoGKZamg0zI+amuyRmhY/fI/ngF2dZX6txzXbB9k0+Ozdrdmxa5pNfNywt1bh8o2J6AlqNmHNHJeeXQ4JdMIoFc5OSqSk4cMSw3NGcXahxyc4ar3p+l8/fXWO2BWEQoOQUV+8W/NSbzuPL83z23mmePVVjQydm/VTCZFPRqisadUk99AgDCH3wPOswSQFSOCDHXtiphjQVJCkZ0CFODVECcZxaUog1Uf4Y68x2zF2ZzIJMrCTpxYJOIunGmmgYMRl2+L43LPKOV/R4zfXQ6bUYjEKiJCQaHK2psPbHfj3whPD/Cssz35kA/4MPfIo01T9y1wOH/9vBgycmZuqKYWqQQtARPiMxwa0PeXz9mRpnlhf552/rMz2RMAprdPo1PBXgez6+5xNEKZHvEURWmkSxTaVbxhGWiTJWShKIU0hT6yRobQMurU3ew5mB2wLcBq4C37MAqYXQqGla9YSpVsLc1IB10yvctzfiL26vs+/IFDsnfXZvhK0bA7ZugMu2d+gnHR7cM0Fd+cxNK6ZaMNUaMT2ZEAQeQtiLazAKWOrErPQN7V7C+eWA7RtbvOjy89z+UJ99pyZohDG+ChBikt1bFD/0mgVecNl5/uL2Fg8+PcViz2P9RMJUI6FRk9RritAXhL7E922sohSZfWhRbrA9rFpTAD1Jdba6ZdZioklSC+4khigx5T22rswwsaTSjwWdRNBNYDhM0MmA2XqHn/veJf6v7+/RCAPa3QajKGQU+Yxinzj2GHWPT4RN7/eaM9cEh5755Ad3X3XLdx7Al1faKKV+4g/+9BPvPnni5GwjFCTaoBKrdz0h6AiPgWywMvL4b3/ts+fQMm9+WY9XXNdlw7qIbqfOYBQS+Alh4DOKPMLA2ns5wONYEiV22Y2TzNNOyaw/MuaWaEMJbpukzJgbPGUTJoFvqAWaei2hVUuYnhixaV2Hc+0+7/uMz60Pz7C03OTiOcH29YIt6wO2rhfs2jzEC1b46F0eh080uXSDZLolmWymSDni1Lwh9CRSgDGCKPbYsb7DQ6R0+orljuHcUp1Lt9Z42yva/M1XAo6eC/G9GCF8tGkSJ5Ln71pmx/d3uPXRPh++dYZHjjbZMi1Y10xp1lJqgSD0BYFvYxVPYQNnKYqaDIO9yLTBOi2pBXwO8iS1ks6CHaLU1rpEefIoEQwS6CaSbgKDSJP2R2xd1+Xl1y/zlpf1eeMNGk80WF6pMYpDosgnSnxGsUccW0nZnT8zS3Dxey973tvUYND5k3r9f09N+f8WgC8tt/F9/8e+eOtd737yyWfW1wOb7o7SbNmUBiUFvhT0pKQra7Qjj49+rcadT3a5/vIO3/+aPm96YZvZqZDBMGQwCgh9e6Ci2CsCpSRRxKkkSSRxKkgSSZoKUi1Kra0FhSoxuVtjk0UqSxYFviYMUuphQqs+Yt1Uj0E84CtPGT72tUkefHqK6cDn6i2GTTOSDbMBm+ckWzdEXLRlmSePDvjMPXNMKo+5ScFEUzDRiGn3U7749RqtwLpD2sBg5PHmF4/4wgO2Jqbd05xf9ti6vsVbb+7x4N4uew4ENMMEJYUFuW4wjKzW/6FXtbl003k+emeH+5+d4vhynY0TgsmaoRFoap4m8MFTAiXJEmT2e+flRzqTalqXK1ySAd0SBMSpIE4zYKeCYSLoJ4Jeio15oohmvc9bX7fEu17T4fmXpmyY9hkMm3R6AVEcEMU5c2ekFHtEiZWZg2P71vu1+9998RU360G//YF649s/Vu7bCvCl5RX63R5S8MNf/urd//ULt355dmVlhVqgbO1IYu0/JcET9u5LCCV0pU/fV5zshJx+oMEDT/X4m2u6vP1VA17/4iEzUwHRKGSU+ESxT5x4xBnQk1SRpFnCJi0Brk3G3LqsKROZDamkrePwPE3gp4RBTD2MaNUHpAz48qOSj3x1iqePTCLikJ3Thk1ThnVTirmZgI3rJJvnYrZv7HBivssffq5JMqqzdatgquUx0YSJRozwIzqDJlMtgxACYyBOJDOhItEJ3Tig209Z7ihOzde58qIWP/3dK7z3r0KOzTfxVJxdGB5JUmMYSTbOhjz/4g7XXNTjmWOn+NjX6tz+yBSn23WaoaIVQNM3BJ7BV+BJe8yFqFbXacBoe9GlWpAaSFJh/fNUEKU2STRIBYMUBokhSRJ0PGK2NuANr17hna/u8tKrYybrPlHcZLkdMooD4sQjiv0sNsqTapa97cqrGPVWePrxO9fHifyvuy+7ITl//vSfNxpNms1vH9C/rQDv9wc0Ws23fP3Bh3//ttu+MtHvdaiHHklqT64UJcClyNLhqcGXgkBp6qmgrwL6icf5UY3PPtDkrqf73HhHj3/xvV2u2N5h/ZRiouFZdkh8kqQEeZoDXEu0kRhjJYEpAsos1a+MDWK9hDBI8FVEZxAz34n5nU/WOHJ+mkf3TGF0wGxdsH6dYd2kYHZCMTvls2FWsnE2Yctcn9mpZW59TPPIs1Ncs1Uw3ZK0GpKJhqZZjxD+iDD08JT9+8ZAmkoGI4/BMCbRgu5A0+0Zljo+ZxcnuOmyHi+6coWP3lGjvqTwpE2CaeORpAFRbHs8103VeMHuHi+4uMdDLz/NsXnJX9w+xfmVBicXQwIlafqCIJdh0q6gBZHnUgXL5IkRJBpiLRilMEwg0gbSBJIYqUZsnh5wzQ57Pm64ImWi7pEkTdpdC+wkA7YFs5fJRkWUKOJYZs5NLiV9eitdHnnozlmD9/uXXn7d8mg0+My3E5PfNoDv33+ALZs3qj/787+6eO/e/ROdTptaYMEtpVMoJQUqMRm4wUsFvjIEiaGWChpKMFCCvhcySH0Wozq3PzLJfc8OaIYj/o83ttk6m7Bz84CbruriCdsiJoSVKzYraWuljXGYG4OQBiWsZ25IQCY8c0Ty8F6Pzz/Y4pnjLaKkQctTzNUNM03DdMNYH3zCY2bSY3ZKsHEmYfPcgE1zy9z19Ij3f349m6Y85iZgoqmYaApajYR6OOK+/Yph5OE3LaiMEUSJpOYprrt0wANPTdnCp0HKSsdnYSXk3MI0P/2mc5xcWOSBx+fwJSBiNBQAGkWS3sBjulVjaqLJiy7t8/Jr+nz/K+fZe0LzhQdrPLi3zv7DTRLhMRop+rFCFaUPbuCZ5QSMJtEGozW+SJkMImrEvOj6Hrs2Ddm6LuYHXz+iHkiadZ8oatDuBtlK6mWEowqv3d7lGneRyUlrW/babZ547J6JxYWzF7/qdW9XR44cSnft2v0PB+B79+5h3bqZ4JFHHvlRT+r/1u0sUws9tKaSoZRSIKXV4yrBSoTU4CXgS4GvDWFqqClBIxWMNAxTn0Hq009rdLsp//Wj05gkZsPckCu3D5mdTHj7qwZsXx8RxyLT2xIc5ib/DFIjpOATd9Z58lAT4XkcO93g1LkGtbpiMhRMNQ0TNc1EDVp1wWRDMdFSTLc8Zqdg3VTChtkhW9Z3SM0Kn7hngkGvySVbDRMNRashadU1rVqC70fc+kCNUV/ir7fdorlEadYVb7hxwN2PaXojSW+Q0ul7rHQ9zi42uGJXi7e/tMOjzzQ4ttRCSQ3EmV72iVPFKLaJmd7Qo90LaNUbNOsjrtg65IWXDTlxvs3RMyt4fsoThz3+5msNhLKFa4zPHzQa0GAMcZSyY0PCO181YN1EymU7DBtmIU18RlGLJPFZ7vgksSJOvSwOsoDOAW5jIpnV+rgGQGkExInI5KTH2XPLTM4k/+2xxx7tb92244N79+6JLr/8in8YAD918iQLC/OXnjp16n2PP/6IDHyJUiJjb8vWiTQZuCHJUvCJFniJ1YlxavBTqwFDz1BLDUkqiLQhSgUjLRmlkkj7xBrmexN87UmNIeXTD9qRDRid3fMsXmaRibwiUSKVIok9pPbwPUkrhF1zhqavaYSaRgiNUNCsS1p1K4cmW5LpCZidTJibHrF5rkvKMr/ztzXufWo9u2dhupGxd0PSqic06hHNxoB6vUGoJEpmGhwrB+LYZzgQDEYp3ZGiN9R0B9q2zDUDTp6b5CVXjvj5d5zjt//G4/hKiBAaY2J0aogTnyiWDEe2jLU18GjWAhr1Go2wQS2MadUjnn9JRODH3HBJwg++uo+nkiwJpG29vSvKM0mntUQISegrIGA48lhc9mzdTprHPNk9kWUMlBWu5eDOgZ0nlpIsaC1fl358nBgefOghmaTyff1+/57RaPT0twOb/7cBfsetn6bVUPUjRw7esu/AQRH4Cm0ESWqzkqkDbqVsAkYqg0pBpVYbJil4qe19TPKIPs2i+jyy16J8rQWRliRGkmqPWIekme3l3oosZWZLehJ8BbW6oeYZaiol9CH0oBYY6qGgHkgadUmj5lmANwVTLc3MRMLs1Ij1Mz02r1/k/Z/XfPj2DWybUqxraSaailZD0WxAo57SqsecWdQcOhNSC+wFDXmln2AYeezaqNm4bkhnGDAYmozFJStdj1a9RqsxxQ+++jyHz5zljz+zBU96GDSpTkm0IU48RpFiENmiqH5N0hh61EOfepjS7toYI/BTmzDzUzxpGyWkTLO6H5M1lpDV34sM5IK2zqostY1r0lSitSTRZbyTpMIJ8PPnzmPG0iW4LajjVNjznd1zY+CJJ54U7U7/lq3bdxz6xN9+cvC9b7vluQX49KQX9Hrnf7nbOffLwoxkGFj/WQpJkrF3DvRUZ7XcqSDN5EmiwUutX53myQdtstemeK98XlbKWS9XFIGSq7mBIqiVAjyp8SRZTQv4SuB7xvrGnqAWSmqBpB4q6jVFqy5pNQyTzZSpVsLMxIh10322b1jkwf0jPnrnZqZrIRtamomGsOCuS5o1TbOW0GqMeHAfPLG3wcVzJtO9Zdp8MFLccJnhku0DHnp6iv7Ituf1Bl4Gcp9GrU69NsX3vWyJJ/af54E9G8EotE5tOWxiSGJT1JMMRh6NoaFeU9QCTRj4hEFK6Gk8L8X3bHZYKV2cFykMCIOg1HNlcG5LiHXuSOncfnWs2BzY2oK4fE0B7PxuCawK7CQ/96k9pyvDvjx2/PR/QIZBo9H8TSB6zgA+GPZlNBr++ldu/av/c2XpbBAGHiqxH1oKYYFcAbgFtsqSCqkyeDp7rm0DrU4pnqd5xs3kmTeDzjJxebLCZC1tjtweA3iZ0FEyy1gqnKItm/0LA0UtVNRDQaMuaNUNE42UyWbCVGvE7OSAzXPLPLBvwK//2QaOn5zionWaqQZM1BXNuqJZg2YtpV6LCfwh7aEtFvOVjT/yW6pzLRowUY/pJ5p+VmfdH6Z0+5J2XdHohtTCFjs3xvzGj7b5jx+SfH3PBgwKbTRpqknShCjRRLFiGCkGoaQ+UtQCSRgYwkARehrft36/p0xW55OtqplMEcJUG3Sz1L7JSMRktSxpBvhUl4+WjGT2KEqAZ8/TTHomOYllq3MO6jQxJFoXiaZjx08FYa3xiz/1Ez/kDwb9f1+vN/7e6fy/N8D7vQ46iX/zqcfu/VdnT5+s+b5EapNlziyoUmmvWCUFicqBbNDSgjvNwK3z51qgtSnSyLrwaMFoY7vIsxJQ984YwPPAVuTgFnlNuZVEXtaK5nuSMLADgGqhHclQDw3NmqbVSJloxEy2ImYmBmyeW+GBvX3+4wfXse/4DDtmrMPSqkuaDWnZu25o1FIatZg4jfjLO1pIpfClQYnSJrQSTpKkPj/0umVueySiG4X0M4D3BopuT9EOPWpBSOhPcNm2hP/844v82gcF9z+9AW0kqbZp9TixhWajSDOq2XLXMBTUfEEY2Mxm4JkiY+spbWWiLMuSC4CXKU8gIxFsLsG6LVkgnwM4mzqgi+RaLjcoVtx8dS4BbpzHDBd5IVyqEVJy5Nix2pe/ete/fv3rXi3anc6vTE78/TKdf2+Az587jDH6RcePPFYXjPCULOSAdU0EqQSlyR4FqRSkRXo4B3cuP+x7uqiVKNuvLNCFraPIQZ0f+LHPVfZuZnUmkrKYKqsjtwCX+L609RuBoBbamSeNMKVZt+CeaEZMTQyYm2rz4N4+v/6BGZ45to6t04LZpiNNah7Nmq1fqdcS6mGE7484tTiNrwRK6syWK4PMNJUkiWLTtCFJYjpxLeuU0QyGKd2hpN5X1AKfwK/he5NcvjXhP//YPP/uT+GBZ9eTamkBnhriJM2YXDMKNbVIMgxUIcF8H3wvc66UtLkASSZTQGSPa2DcyhWypBCiSA7pLDmUZ4vT1Hlfl5IzdYCtdXm+CxxoUwG7NoZRb8Td9z5c375954uklN8Uj99WgD/xyG1EcdI48NQXA5MsUwuzD52C1Bl7q1xbWaBrnb9nga61IfUovmQV2LkMMQXQTS5H8ucX+GxSlEVUdiURBbiVlFmjRC5PoOZDGGjqNUM9tPq5UY+ZaERMNQesm27zyIEhv/Yn0zx1bI7NU4q5pmayLmjVJI2aolEX1Gv24rCp/ogH9gh6w4CaIrvIrAbPmxBSLYgTj2ZNcdNVXR58ZoJ+bGXKYJTSHyi6oSIMFIEfZPp5iiu2aX7rJ8/zS38E9+9ZT6wlsdZZs3TZgzkKJGGgLXv7ZR29p/I7mUwpZVzebLIWyPOkkMkBngE+LZwX1lx5dRZLaYfELIjHgQ6p1tnFb4/PmXMr/MVHPhv8wDvf2Pibv/1C/+1v+yf/+wE+f+4Y07Nbph578NN/GEWjl0lpdyPImbpyxUqrubWzbFnGLq9yrcTarO0AWhfALpuC3XESdmm1BUVCZuDOioxUAXBQWcWg70HgYzuBgqzAKkypZ/KiVR8x2Row3erw+MERv/Yn0zxxdD0bpzzmGprJOjRrgmZd0agrGgV7p9TChFZjyF1PBKy0a0xPl2nyHDA606Zxqlg/q3j183rc9bC2XTSRdkAuqfmSmu/hewGeV0dKzRXbDO/+yfP80h8Z7t+3nlh7xFkFoC17tUwexrKoLgw8iedlRVhSoLz82FB8vvwizKWKyKvSKBNC43ftPGrtPBYrbxXcbmVn6rwu4i9TStQkSekPBi/bs+/In/7oD7/9Zw4eOrpy8e6d/3sB3u+eZjSY/6Xu8uF3xaMFAt9Ha12cNKuxx5YoLTKdnV/l5RWfy4+0kCEU7F0JJMeZO0N6npErtLekiANy3Z1XDHoKW5/hGXzfNhbXAk0tSKnXEhq1mGZtRKsxZGayzaP7R/zyH63j8cMbWD/ls76RMtkwGbgz9q5J6qFl/1qY0AgjEj2iG4UIJfFzBi80uMjYK/OLY59mMLTlAlGN6Rzkw5R+YBk8DKStiffyDWgNV+80vPdnzvELf6C5f+8GYu0xSgVRqjMWF9RiTegbAt/2rnpZ3OEpWyKspMyOT9aVnz86hVnFhenGOmPgLkjIISYX3EVcZcrn7nt5rX7O6uVKIDh5eoGn9hx51z33P3ZoFMV/52bOvxPAB92j1Jpbdzzz4PuvMdEJGnXQOi2iaSXLQENpUwYh2mQdJXlRj3EALooDlWr3gAmHKcqspHHXzJy13aAyX26zDh2VBVOel3UGZUVIefVgzU8z3RxTr42Ynugz2ezywJ6EX3n/Oh47vIG5SY+5espkzdDKwF2vWTsxB3c9TKkFCRPNiD1HDXc+2iSQEl/pLIgrPYp8+Y5TRaI9XvH8mIsv6nHoeJ25BmWf4yilP8xY2FN4np/Ng7He9VU74Ld+aoF/90eae56ZYxjXbTIsMTSyGu7Qx4Lcy1cvXfS2SpUWK5ySwgG4cEDOKr1SgtxUAV5UKJYr71orc8nuVBl83DUzhsQonj1whvD2h6/5jV/9qR17Dpw8dsUlW7/9AO91TqH8qZ0Lp+77HyKdf4snO9SCIAsOpCM7rE+qndc6B3WayxGxaknL/WFTeNpjLskqtyRj7nFwC4NUuS2Y1byojLU9Q+BpfF8T+powSKgFCbUwolEbMTPZZ7nb5+6n4bc+spEnD65jXQbuqbqhVRc0a6Lwyq3zoi17Bxbg9XBElKYMBzVqyl5kUohKJV+eSLGBpme1vDdiFBkGsXAArgmClMD38H1ppwpIvwA4Aq7dJfitn1nmv/5Vwv17ZzndnmDYlEylhlZiqGUTB0LfZN5/7qSYgr1zqZIDvPi82Yd2cV4oxOyk5KtqCe6qpLTVnA7YK0DPrV/GwF2u9okWrCwNOH5m+S2fu+3+9LUve96/PnT09NHdOzd/ewHeXzmK8hovXFnYc0t3eR+BHyJlSiqlY/GVjJ2/1q6VpEQhSSyoRba05QmbqhRxAZ4fYlcV5ifBjnugqDXPu/HL4UC2LNb3dDZmIi3AHQYZuGd6zC8PePdfNvjM1+dY6E0zNymZq2Xgrlnd3cgCy3ooaYQmY3CrvWthBER89fGA5ThgNqRSj42orlBpapsfJkKPV13f54F9Ed04ZLLoWNcEI1urHngW4J6yDdlC2gQNBi7fJvntf9HhCw8M+M0PbODkwjSDKY+pQNBKNI0EwtiOXg6UHWjk54GmFEUQnD+6gbp7YQpR9IoU5wfGJKQLbCd+0g743TzGOMjzBJ4rb41QPPLEAXZu33DL7HTzL7vdwdFvK4MncRflNS9ZPPW1f9lbegzlqQxgqQWUtkkdrWXhkxYMnmXAckAXWrsAdS5BTGlDjbO2K0uyA50zS55uzl0AlQNcGTxpgW17O21/Z+CnBH5CLYgJg5hWfYDn9bnriZQ//eIEn793PZGeYP2EYF3NyhJrAeY+ucruImNul71jPG/Efc9O0Y88NjXyzzPO4PnqZktJa77iRVcMSLQF+CAWtms971wfaRscetlsmMzey4fbGQTrpgTvemWPVniaD3xxwN3PznI2rtOvSSYSQ9MzFuReFocok8UlJgN5fgxFWTsuQVKy+PiOgoVUyUdUMK7N3e6hsvY8Z/R0jeA0dWKyNGP0VINUHl+97xle8LxL/+Xb3/ySx9rd/oHJb2Ek3DcFeDw4QO/8p/D8qc3pYO/LfXkOGdbR2qC0zCweUTC5MiVza+1KkpK9K3Ik19pkyYQKsB3rwbWviuFAbqWiTaZImY9201nNdwZuZWsxQj8mCGJqfkSjMSQI+nzkdo/3/Pl6Ds3P4Ic1NrYEM2HKRGhohtDMOuzroc121rKEkK1fSbOVwMqThU5KLwoIlCKQZe07zlfJL+y8diNKfOr+kI1TA1b6LQaxyMat2VjB99PM5lOZ3WkbSEQlcLWVj295aY8brpznt/5iyIdvnWMpadIPfZq+ZMKzNTihB4GiaIbw8qRPMYdGFFngPAHkkkpVrLhAp7ICa1OVmqU2H7uvMhtKYKdZDZI2ikOnOnz2nn0vP93Vm88vtg88/OwJbrhy2/89gBuT0px73c6o89j7k/6jhIEhSZNMZxuU1DbA1LYQx03nGlOVKEaX9Q158FgcBIQjScSYNMnBbUo2ybJv0gW4tJ9HVpg7zUCeEHhWkoTBiNAfcPRcwh9/ocmn7pnl8LlpJho+MzWYDlNaoclS7zm4ZQZuWSSFapn2DgN74Uw0R3zyPo8Dx+rUsglcRbsYJcqLMQ7G6vA48bh8B3zXDV3+9Euz9BoeE9nskTDK4gal8TyZja3DAbnvnCy7KmxfJ/mVf9rnml0n+aPPz3D47CRLSZ2+79FUgkYG9EAae+FkLlOx+uXHNbcPsfq8zHSa1T55Tkx56UThm6+2FI0DYm2qJkORODI5sK0OTwzEwuOL9+3jpS+84v0/dsvNbzy32PmmUuUbAjyKE3xP0Z6/f+to5endSbSCUiFCJJa9M0ArIzOrUJbFOe7zSvEOBfiNy95GFCxQskJO26aiA0WRMTUFuGUGbuua5Oyd4nuJ7dzxEsJwROCN6KYR7/t4wAe+sJFTi1NoVWdmUjETGCYDTSNj7kaRvpdZnUomTTLvvAB3YLOXozjiwMmQXhQyHWYuTp50yl2JPAtrnJqU2GOi6bFra4QKh3SjFoNAUI8NoxzgXpolapT1sWVeArxW8KqYm+zz02/pc8srzvKBL3T440/MsjBoMvBq1DxFwxPUlSFMjGXzrE/Wk2V5Q57lXMXkrCFXxh0WqMZSuQxxiMxl8ZwESwfFZknTDOCxgVRI2osd7n9o7+6Nk+HWt7z2+UeTJMbzfC50+8YMHp9EMzGnlPp4Z+FhP/Q9hEjRQqOlRGYANyYfXiltUY5ThVYwts6Z2wF2BviSscUFMpTGsQNNAeyKPJFZlZxKLcC9FE+lBH5MLYgI/Ij2MOK+JyUfuX2CT9wzyzBtEQQBs4FgKtA0A0MjNDSCEty1UBKGkjCTJjYxlDkTGcAD32Y+j5wx3P1Igyj2CZtmVYCZ38p0tiWCKFb4vserb+jy0S/32HeyyaBmRzOMfEOQgB9r/EijlLS+tRRIIcvhPpTHM9WSREsaoceGqQG/8H19rtg+4sO3t3h4zyTzgyZDFeD7HjVPUJcQ5gOWcntVZnVFAgfk1ZqV8eIsl9Fzghp3xPLX2mHqks0p6o2SrO7FzleEyAhSwPM9br3zCf/tb3jBx0/Pt5+3uNyb/3sz+Nf3rpOz4eMv3BR+arJVX0JkXSB5+aQxsmBqlQ2w1FnBfAXcY7KkuOfAziSKy+CVwp9sYjjCZIkcO+otL/e0utvgqdQCXKWFHPG8mHYv5t6nBX/2pQluf3SSpXYLWa/RqiumfMNEoGn4hkZgqAdkrG2Zux5KaoGiFghqAVmFns7ArQl9q7+VN2L/STjVrtnESqZvq4mTsn5GU4I80ZIo8tgwIbhk24Cnjif0Y59RNuM7iLDgU/lk3TxRY8uS3Vt+8eQ2ZJza+vB3vnrA629c5iuPdfnQrRM8vGeCxW6DtgzoBR6BEgRSEEpsD6e0u9QpUV6kSmRlv2sw+Kr6lXEmdwhN4wSeGXCLgNIBeN4jmkAxsElgOLkS87sfuW3yv/zrl7zw+Vfs/hLfYHjQNwT42XPHw/OYP+j5Tzev3dUlioOMpWXWse4wdtHoa5+74K4817kOdQDuHJAKL1SkicEt0LeyRGeaW6Nkagfi526GjJnvJtz1iMcX723xmbsnOd9pImo1/JbPhAeTvu3kqftksgPqgcjuMis5zXR3IAhz9s4B7iUEQUItiDAm5quPhhw7U2fdjMCXOtOxomz0ddjOOBZqmioGI58dGwSvvr7Pp74e0Yt9BrGg5tt+1SCbLFWuUqrwq+0cdcrjakRBPml2TxKPejjina8c8NobFvn0PV2+cG+Du55scb7dYCACBoGH5ys8YUd6+FLiC5NJLYNCONKwah+uQeYVF6xkblEEoOkYY+egToufmcyhMWBS0BpjUohjRu3Hmjs3XfcHcPwKYPB3BvhSx9DrD37gw5+4e2rHVfMELYPqp1n3uioY3IJXVVjdlSX56/y9ykkA2zu5Rk1gJaB0gG0HdFpJIjKAe15K4MXUajHDUcq+U3D0tOJjd0zypYcnOL/cBL+GN+HTUJKWb2h5mrpvqPtQ8y24a76dSWjLTKVzF9nPTQZyXYA88G172qHTmqeOhOD72TJvnBS9qKDADcJsvbQgSe0456t3jbhya4+9pxoMaoJGIghjw0iRWXs6Y+/cTcktyFKrFD57kXRT2fQBn2HkU6+P+JE3jHjzTSvc9kiPv/5yg6Ona+w91SBaCUlCj6HnIZWd6qsAL3vMmbyQLpTB/6pb4aaUoNaUoNbggBk0tvG5EO0mdXpF06xyK4VBwvz5NovnH6Wumt+Ioy8M8GZwXviMfl4mD019+eE6cRpx4yUxgZcgPYGO7WwLnUoL8Jw1CkC7wJal7kZkoMZ5HIN3HqkXms8mNawk0dkuDylhaCepJmnK2UW442seh07WufPBOqeW6xw63YQwRDU8ap6i6RmanrYugm8H59d8O67Ngji/y+yuMoCTae4M3H5K6Fv2thdWxJF52HO0gS+r9mAhUSjrwQtHIXdSdNbXmPhcuWPAJev7PH04oZ/4tGLByIMgsTMBlQNwKQVCygqTw7j9JopgNu+jjFOfkR8wUY/4odeNeOk1HU4td/jqQwGHT4Tc9miD04s10oGPlh5xoBBS2pUi68qXZBlPKGTLWiCvBJq4Wercbck1qnbuObDTrIHV9ioKL0WqlBufN+Bl1424694n1137/F/+l48+c/S9z79q55rh2wUBfvc9H2IUpfzNrad59vA0OzanXL0r4uUvGHLlroTNM5qLdw5RRpJGEk1uE8oxoOdSJAO2w+I5W1c/mXEi9pK1CymiUvwwJU4Nh08InjqsuOPBBk8fCXj2SJ3OKGQUheAHqAmfUAkaChqepu74wKGX12nkZbO2LjzMZEkQKIJAZheAKbW3n9rMom91fi2IMTri3JJkZEI8TxJIg+fYbGMEXoA8NdV+xyjxEXjMzURINaQX+/Q9YZ2OuCwY85SuZCClcKLYfNgRIpOSZWtZPhjJT1UxfqI/Ctg4HbF9Q8zzLxoxiAb8H0faPH004I4Hajx1pMbh4zXiREGoMFKBkKTSyQYVSYo1tEpFnOc+cP6oncexewZsj5Tdu2K2zCRcviviFS8Ycc1FMds3Jhw4cbR56OCX3qXx3/t3YvDf+bPb+OqTy+rL939dPLp/gmECy4c0Tx1Mue3BJpN+wvatCVdfHvG6G0a86roIjMb3oN40mc6WoAVJbAGfB5IVBncveWMBTTa/xPcMCI2Qhjgy9IeW0Y+elPzV7SH9WPH4szUOnghZ6AWM0gC8AJSPmlAEUlBX0FCGmsKOM1NZ4ZGyrB34wiY9XHD7kiCTJWEAYUDmmtiUue9pAj/JMqIx9VrE+eWUO+5v0e6GTE8KvMyLz4u+xIWYTTsBoZaMRop1s4rX3zTktocHHG83GfjSyhQP/MTgx7lnnXnsMrV2Ie6sE1n8DW28SslEmkqCVJF6isS3Yx/i2LdWqh/TDGJeenXCi64Y8daXD9l/QvLEHp9BpPjwHQ2OnPVBSPoDjzRSefkmxssBPmYZuenbCsABoxGpQWiDyYBdb6b4vkYYzauuH/G6G4ZcdVnMjq0Jkz6smzCgFan2uXZnypb1j4naxCvV0slPJjNbb/nWAC6AddNT7zt2Nrx2qCZtV7BJ0Dplvp8yn6YcWdLc/7Tm43ckzM0kGG24/tKId75mmLUgwdyk5rqrI5q1bMUxosiBiTX+aj6cp90XPPGkx2JHUq9JHtzj87l7agxjxTBWnDkboIVHbHy08MHzEKGHJyWBEtSkoZYBO1SGUBlbA+5lnq9XMneQ92UW4FZZj6Yo2DvwNUGQF2ilBXsHQYxSEV97TPGpr7dQgWfttor+vjCD5154muaOh2I49Hnziwd85r4OH/7qJL2kRjPT4X6uw+M8KWOKbiEhZAEw+6eko/UdgOtstINnmdz3FInn4SWpBbpKUcoO0p+uJbz4soSbLosxYsTbX9lnGNtxbp+9J+ShPQH1ULDQUTzxdECnLzOVJLigKC92nrCtgdddF7NuKrUZ8VTzztcMue6SGKNhblozM23wbFEGaaoYDSSpVmijSBNJKLlWebPvA376W2Lw+aUO66ZbE+/5X5++zCdR0vPReGDsdn6oFEyK1pqR1pxra86t2EBg//EGn/uavRJNapic1rzw2ohW3dYBr5medC+rzHVY6Skefiqg01ZIT9qZKMazzCQ87FxgD6SHlBJfCgtmaQilJpAWCIGCQJUz+izIRdnw4NlGgLzx2AW3ZfisrNbPGTx17gmhF2NMxKmFgGhUI5yUBFnaW2VVeZUspqAkL8c6LbrTtSKKfaZbim3rIgIxZJCEDBJB3bNDMPMakjyhpaRb3iqLv2X/Ru5q6TJ7qnVWt19KoyRJs7yByuayJ8RJioptLsFTKVImbF2nsxVDc8X2IZEZID1Nuy14+CmPlb5EFYqlGlRXznRWjNWsaV50bczktMYkdmWvK3vsrMz10LE9/9o48lcrUq3yAf6qXh9etmHXuyaSqN3xgupcw1UAP3RygRNnV95752NHX3luuU/gKSIN2mTgyjWSHNNMaBJjaOdLkNJ0VgxnvtZ0vuJaAHf1W3ZyhEDnWy6Q1ZwKVQY5UmZWVg7qLO0syTZuzX1j59HLOukV2dZ7FOC2bV2KIAN34FGUmFoGz1jc0wRZdtT3Y8Iw5sSC5i9ua4IX2BmL0knwVMBXJbKcXfMEmQWbdaii2OcHXz/g03cNePZci17q00jsprS2CtCUnTgqzwm4wV5euphLIekUeOV3XdTCeJ7CT+28FD8DupJl0szWjWfPhc4GB6V4wiBMyrqG5p+8RINIM5kJiHz/jDXOeVFjJKzciD3yeSxJLIkpbc48dissaJNnyBVaSzBtGD3zynhw5L1GJz/7TRn8PR/8ClKK4NED50iNHdyoJMTG1pgYZBYBO+tsHgVDrkXs+8qQ+g6418R3zm45wKvBi5CyaEFTAnxh08qhsNWCvrSvPUlWU5F1j+eFRB7OHBSyndnKrvoS4LKQLWFgipa2INDO4JwEP2PvwIuRMuLYWcF8p4bwPEJJRZ5I92s5p9uVDhXgZU5HlPjMTozYsXHA3rMjBqnHMIUwFfipwU8yHZ5QOEtlCl1VOhXy2M4CI6+zFo400nipJlUS5eXbl6usWM1uK6NkeRdSozKQi/xvY6dkCWkK1ysHeu6ArQXwMrlXxmW5KUElfyKzoLl8bUf0CaRMITnMYP6vgwKD3wjgj+85jhCCfn9QZOMAgjzjlEf/bhqWXH3kwHep6hvJErKuHKewXggkZYrYTqUCXxh8kYE2kwD58+K9jOzLUlCKBttACQv2CrilfQxyoOfBZwbuvPvH04VE8T2rT4MgJiHmC/fVOTdfx59UlgycmvRCfzOmSN3UtVN9mSd9hiM7wfZNN/e478khnaRG3/OoJ5ooS6crWRZE5QVndiOv/C/lgaYobElrHWYzVQykyv5NTwsSJfBSme1iZ2t5kgzoZTJNFwk2KbWTeMueSxfcmc1b7BVzgfPvFNpRmBBU3LfV90x+ZfyYJCOi/sE1V4sKwP/ow7cz1aq95P0fv+eG/nyKccjAoAv7qagZgErqtfhAfPONVwpBkicLBKj8URg8KKw2laWM7XyTUuOqHNj5QM9MnrjALuagKGw/4loAzwPOXHd7uSwxmd6u1pIHfkzgR5xtax49WAcvwMvkiecUKOXZPjGGcHucnKq7olRUFp54HPtcf/GI2akB7eUG/UTRUOAn9ruo1A5QUrELcCzIiz8kxyo1RdY3mdXoK1sJ6mtBqiSp0qRKkGQgd4vX8nIImYPcAXVeMiHQGcjJSprzTHSZtKsUY1TqV1w2dz4zY8DGtZptgstOapi5obnujS+ZP/49985t/+61Aa6TmH7f/JOWSq8LzAjl+xh05SBpnHak/DjmVWKUhK3XuJ5EZp+4ZlJ+ledZsRIcpmDw8RJOz5kvrkRZ6mmbi/NOFStLVNG9UgI7b7617J1pbo9Cb+eWoGXsEtx+UZ0YI4j5/D0h9z3dQoYegRR2/nZRQejOZ3HrqMuTWtTuOBWYaRZADYY+N1014Lte2uWPP98iSkN6qaSWGkYJ2crlVv3pTM7psQvqQkwO2pNZL6QowJ0qiVLaMrqU2WgJ7ZQiuzVApgR5JducM3m+SDsyVawmc3fkXlnDMiZbxrLgOe4MgiRJCYR3nR8P/4nR6b1rMvjhoyeZmmy9/q8+ccc/XZyfpxEIjBjruRsHcPaHtJOOdBWJoXK9Zl/WYfAM3DkApAMKSVnz4I42yJnbbkGSvyZjcIo2rAqLZ90wvqqC245TGGPurGczyNrbfC9vOEice0xEzF9/dYLUhKgie+kGmGVfY+5sVDQ4Y+16WtrpUGkebHoIfN75qj5/+YURKzpmkNYYpAI/oWBxu3OGKIrOrF04vn5KSmtSOCAXpF42ukFlIPcMSlu5Ysfs2QpGmz2WRWlyaVG61Z1lGXPRlFIAvZQqqwFeXdvL+iTh/NxZhZyLwJislmd5GdUY/NNtF7/uzvbyqdsmp7dUAd4bxEhvdPHZxf7u80tdwiAg37DIjP2RHOB5cfuFpkytdRPCYXJHnhRAHyvPLLT4mObMQe/O9lBKlFo8q7irDLvJgO0pUTophR1oO+5tY7LJmLsMMD2HvUM/4tGDkgOnaxjlo6QkkBpvvE7DEeDjLkp+LzqdtHD8agvyOPHZvTnmyot6fH1/nVgFDBJBTYKfGrxEZPIt68JJMh2OtHKh8ieFw+LCkUblKI98JqSndDFDUmXSrwR3XgtksjKBnMkpVg/hgBuRT8xam73XurmFdzmDjwO9ZPNcerVRYmW3MIOLpRjdtorBj51ZptUeMr88zEZAjJ2PPIgcq/6rGoDf6OOXv+GWW4pxoDvgVkXNd2m7lZJF2O55UYLbBpmi6Bb3CnDLCsDd4T+2254C2EW2smDulMCziR3bFRRjiPmbrzZYXKwjQs/67u5FOF6DUpJTxSLMm2/dOu7Cm9aKOPZYNyN5x6u7PHpwglFao68C6qnV4nk5q5Jk4M7XCp154m405GST87+ZzXt0p1LZu0TpfEUyxXNZbKueaXCZ73eUSxNZNkeMM/hY00qZ7lvbOq7irCznsKad+9qulL7SeKJDmpxDJ2VxYQHw3/vjz6KUZGlphUZNWQt6FTyrJZDjP/tmHJ77/6U8GXt0Ae2yeGW8WMnY0mVwJRwWz+WKRHlVgAdeNgDIz7cOzDKcnsEvUvE6e55W7p6ynTvPHoOP395iJAOUVFn2snohjmcwVy3LzvGs6vBMi6eKJPUIU493vG7In32pz5OH68TKpy8lQaoz90ggU+McJ2Pby4S7pursb1X3LXKZPNXgFRaiHW2tspIAlZpyWGcxl0UUF3Qypsft+XSL5XCYPAf5N1/vC+Z2QV4JTJ3flQHLC/sY9s9gdCnRPICDh0+xe9fmxi/8h/ftenTlPNq3mbLxKLdS+Tdma68KKMdfi/Hnq7X3hSVKObF2fByydBg7DzLzqU2el2/ymmlvNQbuPH3v543J2s4MKVrE8p7OJLvHKD/iwCmPbhSA8jJ5YsbKY8cv3OoBqQ40GvPCs26cMvHj0fQFl20Z8uSBiFSHDHRALbU1216mwZWwG7naxFLOlpo8yCyZvKz0zDvcvWKwqX0vH8PnabIOIoPU5YSAfLpWmnf3FwZAGVwWgefY+c7RsqphouIyVYHluizj5JAf2Bg7Co9gy65rb/rnjV7nX/abE1sswI+fPMPS8srrtm9Z90sPP/oU9UAW/1C5VKwRRI6tMhcKKIv3RPVnApvPcYHgTqctpIrDiqoyVDMHOWWNtHJAXTzPkjyKzAu34LYALocC+a48cdlbZX2dQcRSV/M//7bF4qCGCH0rT6SprCrl4JxvItqKmiOR7bziMrh1VJLEY6Lh8XNv6/KVRydYHAVE0mMgJUHWQ1mOfMgY3K2nF7ooo7WOmMQYnSXsXGdFZAxuiiA9B7uSImNwK4nSwkWhkCmlDi/bCUuZkgeepVVYOTZjq9zaAHdBPWYnYrO1WifMbl7/S4vn9t6bxINPQ8bgTz39LLUw4Pjx43afeE/ZFn/3JIz95W+Wv8k/sXuCq4Mdx1ibMq1t5+SNS5TqYJoC2FIgVTl+TDmg9qTEyySJVwA819y6CCp9Txfg9r28/qLK3r6KCYKIj33V55lDdZA+UkrCvDTWsTaLPeKzL3nBakJKNi92qnBkSqJltsmTz9W7+7zlpR3+7Es1tBcykAGhFEXSR0lB7AR040wuXCYfs98KqaJAGbsq2DZEitmOKhumWo6VKGfRlJNpbR+nkFV5UjgrFQyUr7+V22r8Cef42WM3GiWcPXOKKA5IUrsxhAcw2QqphQGthkfo2+At1VkywpQnI/8bwmTZ1guBPP8Sjlti384L882qgTIVz7gILEXJ5gVDfjOAyxLgyqmh9rK6FJ9CiviqdEt8ZzhQqbkte/uenVq13NZ89mstFtoh1DL3RDjB2AUkCkJUmdyJY1bZdkVPq0SnuZviMT2h+O5X9vnMfUMWeyGR8hikMrMnRebeiLIZW44nVix752/pgs3L3kgvd1ZU9jwbe62zcdj5cXdBLrKd8wopmckTuzq7elyMyRVRBbgwCHNhtFu85cDDuUDtY2oEUWQYxQFRWiNN7Hf1nt1zgHWz0zvvue+hnz9x8iyep4rQPx/EU3FL/g7MnV8DlZPtAL16F2tLlDxxUgF2dfa32+Fih7tTBXe+s0HO3Mph7lUMno+bKEdOeMpmLo8cFew/VkMTIqRXNOeW1YNu/CAcV6P88m4tSsnkwpEnonAyinaz1FZzXr4jYvemIYt765g0sCyeWpniOS5OyZ5uoVdeLySdFTljc1P65FqWcyPd2EZlc991tnNHkdCSJRkV4NYim6WSa3IxJlXEGB5M8WItmVK+J8YAnh27LJcgpKLTPsvmbZf9/EVXv+jxM6cOHvUGo5ROb7SxO0hff/TEAhOtsLiycpaulJaMsdBaInPcORifpZED2k1lV95zehlLZ0I4wWYJaMvgZKOAXR/cvWdbWisX3A7Is/3q/aw0NGdvlb32vBilYr7w9RYHFuoQlPLEd6zLygXL6nERq1ipYE834MwzmlUtHkUeF62LeNNNfR56tgHaJ0mtFvfTLLubVqVSyZxusJSB3BhHojhyRWbPZbaqyPwusm1pTDFuOVXZhgdClFo8k0blRV5edDhMjihsC9wR2ON6fBxulXivktIHqSQinacexK8XZrDRU/FRz+RjbzPkuTq5wtjmwopkLfYuP7BYrbvHQJ2/Hg/QckCLNYBdsLkSThOuA+5sPmG5bQerge2VA4KKEW+ezkCeWHmiYuqNiK/vU3z6a00GwwAaHp4U+KIqTcY/v/ud1wR4AXJHppixhE8G8jjxmGx5vPUVQ750X58H9wWYps8gDQkExYWmir9f6mBnLS1A7m45ZYPP7AJTls1TafW4dlg7D+p1FlxKLRz9LZxAtxpDlZgq4wL7nhgD+mrWXhPkYwDPv1ox4BSKoj/PmBitYzyRUg+tdh1nmbX+iLuUjH+YcUtwNcDHJUp1omkZXIoCNMW8POXs3qBEVptSgrsEeV42a/C8coSyl23C5Kkq0P2Cre1dKRtgBkFEHKV86f4Gzx5vgO8jpMpAlc0NcYJLIasnddw1KsiiSDtncY6TydR53XOmxXO7MIo8rtie8IabezxxtM4oCUilz0ArgpSxz5J74YwxuMhPf+WzoPKLTaOVQOX6VgqMAmlKPV6sqBK78Vh+bnS5ashxgI/HJYwB/++Q6axis/xeWmCrMYcwGqVEI4332c9+Ec9TrKx0aDX8bLkwlcDyW8vBr3ZMQFRO7CrNzVqgzhnbDTDLHQhKaeJYhQVj5wAvJ6cWEiVjbsvYpmBqr3gsn/tZcOmpmDCIePqY4Lb7GvQHATR9pMgrB3HswTWymM73dGkhr0Wx6KoG86sSPk4BVhT7tFoRb3jxiM/cNeSJwyF4AUMtCTItrrRtunKlgUgp5AHpmLerSifHU5TSRVo2z1eVPMjXxoI934tJSYHQrpuSnXNdMvt4jmMVwMdAXzlaF1r91nBUMII0DXjmmSc4dOgQWqd43fYSQkpGUUwYyGLM8SpbpvKsGhCsydw56IsPLipX8JosLh2wu5q7ALnV2242U6mswjCrKLTtXNlzz50PPgbu7O7nU2izAn9PJfbuxfh+TGJSPn9vnbufrkPNA2kbmn2nhLdSGuve3RcXOEnVeejCaSoX2egyWQH6aOjz8qv7vOklfZ45ViNJfIxQDISHn1J8JpGWLF5+hLWZ3C2oUypnbsvm9rVAalHo8MLvzxk9X20zBi+Gdo6BuxJwVkBeuirjOLoQxteSK9rYrcNHyz2EHIExeErZ4TGptDPv8q9vLmiXiAu/m7O280HHA0sop62KYkkXYwdkDNgVqeKm6Z27GgO3cu5euQlqDmjfAXXunFjHxD4qFRP4MY8flXz8qy0gAOkjhCq6iFS2kaocY6f8+5REIMYARqVArWRuR4MbYXfEUNnoh2KfeA9jPN75qgF33D/k4UN2kkCsFf1UZAVfGehSU6zIYtXZs5/FGGNZ3AF6/lOV4UDLbD+fPCjOtbfM2FzYx+Icamdgp3Qu/koCrJQk5fH6xoHm2oLYBbgtORBSII3EYPAM2TT+7CBImX1pIb6pMhlfQoTznutzlhrcmbI6prtLqSKyZEFpPeUAL+bkuSDPuo7Kzabszg7lAPwS3BXWdh7zxtpcqiiV4PsJcZpw54N1njpYB98HaYPLQBhncqwbWIlVgdW4PMlPiHGeFA0QTo1IpbowlWiVOSqpxyjyuWr3kJe/0LL4ILUsPhIBQw1eKsrAL83tQguoUqLYD+AWNbnWpZJglEEagTLY7KcRCCMwAqQRpVRxgsqSvbPzqt0L35nrvkYexB6lMS0u1j6Gq0DuBJwiI1FjwEuzD5Bvk221b/WfHB+tlgcG5WtR+SCumV/8zPlihX015phU94gZqz8RFHvvFLsX5823lYaHcusSpcbA7QzFL9wTlaI8B+CZRAm8mANnBB/6UotR7EPDz+QJRWuacncJLi7cMv6o6JU1aMcFuitT3M0BtFlLi3s0Q8kPv6HP5+9usu+UvfhSreinylYZplnyB2H1d5qN5RhjQpMD3QG4NKUWl5lGl9pgpD1HRgoLcO3ESjmTazeWWmNlcwDtevQuCV4Y4GuQ7DjBikyuehnAX/Ha79lw8MCBX3304QfwVfkfVf7gGE1Xgknn/1zdXW4SNbb3ogNsWQF5dSs7tzJvvMhKOrUfqmBvB9gyDy6r4M5n+5V6O3sudam9s+AyMgmf/GqTxw/UbbuP8FDCZi69rAbbbS52ZQqVk/cNbhUNXlqFxbg7rS2wKyCXaO0RDX2uv2TA217V43c/EjDQHmiPWEgG2sYIUmdkkpaykDFnJXdQ8oAXYzL2tquKMmAy79uYEvw5uKXJyMhUV7FcsoxnqMfdlCpWHHyJ6iW41rF0FUR+3JWEWjDk+S+44ld37tz1U96J48en2u32GweDEcFEUImE12Lrta6aUjM5/50o/1v3eZkAcN2TsRoUFziVOnBT0d4F0B1JohztrYqdHpyNqJQZkyR5pWBagNv3Yvaflnz0Kw3s/BXL3kXnfv73BZXxwtL53m6gKdwXhSyp6t682KrcJMDZKCAHtpHoVJGqTIunHt/36j6furPBnpM+yAgjJMPUxyOrF8mPdZrRc5onfnLmdqSTMVnxkp2NVSRQsotQGpDGypYcxNLYv2F05o/rLECtrM5VsK8pTdz3xjC1FqnmGXL73xorm4Q9XUaPGA66bzx75vSUV/cjGkFKs253wc0lilh1JeX/mCNNXKDnLF75wPmHc6PpMVni6lhZfV5hcWGc4NJ5XjC2KVhcjYHbTmTV2aO1A5XSqNzvVglKJqiMwVOV8Ll7m+w5UGpvKaT1vosOmgswFOOvBc75cjgpf15tQK544s5EKk8LW5siyxR+FHtccfGIN7+kx6GPhkSpAuGRCo+BEHhpZt/l5EPuqAjnU5gyBM70kjECVdR9WGlSsHl+F6ZM8QvQ0gJf5zLF8cFdsLtAXgV2F2+rJO/q5y7O7N+xF2gSK84vwijReJPNgHjo02woPKUqf3D1FeOcLFH9g6t1uGsHjX/B1YmAtZsbqqydv85ZOwd7ztwF0JXL5KXuVnkQKR1pIsuh+Uql+H7M4TOK//XJCYbSJ5+gVXbNZyuIWwPtSpLK0nfhW2WkTOaF51ZXmbJ3Nbio1Kek2iNJfcI04Wdv6fG3dzY4dNoDFWdSxWcgBCqXJ5keL4LNMZDn3rwBvPyCy96TJpMomIy1c09cV9jcZH9HS4Ew5eqx2kzIgO8A2QX7WuC+EMirWl0Qp5DEknZPIXw7zg+lBGGgUFIWbHKhf2DVVVR8mLEa6LFETvE8q3JbiwFdYIsx1s4TKVVw61KiyCqDexV/O9fZrv527tKyuO9FdCLNH39mglPnQxupSB8hZCZPTMX3Lp5D9QIuSKKa6FoT6DhSpWg8cHs08xR+uelA0QwhFWnisWVuxE++pctvfSigHdupR8ZIRlpZ2zDNP4eBVFDahiXIy/+3P1HZVZjNbyofZen4SGlKBjfOucv0tykY/AIBpwNenePKxdAFgF1VFKuJYxRBko0S9/JZ2KFvEad1tiyZ1f9xJZB0qFy4H6547tSY5B9MrgbDOHPnwC5Z2zjBpikCy7zxVakyyPSkQXk6Y3RdSBMrR7QjVXLGTopHT8V4YcwnPh/y/r+ZYKR9K0+EKuRJ0VQ8ZolVdHexZI6rxrVZPMdVaRW6oM9T9ibb5Msppc1clUR71LyEn357j/3HAj7wOavFQZEKyVDb3k2ZUjB4WYCVn6yS1Fy70oK6lCzGZGwuykIxSzq21NVUEj9WxhR16RketEtyFcyIKn5wgD4G7LVkStEMb2AU2f1FR7G2PnhR0irLJI1Z8x8TY4w+9gGdD7XaClodTa8uzDFjEsU4QWa2Rbe7ZaAqi52U0o5UycHsMLksqwML3V082lmDS8vwt19psDzKwW0B7kurvT1RlSeVVSe3y9Y4IS6+Xa2dg9xNVFTlCeXWi3qsTlxKlFZo7ZGkHpNByi2v6fOpexssdhXIGLQixurx8erCKkYuzOQ2D1QmhfL6lDzYNBmLF4DOfHJtGGNsez4RwjI8mZSB8oJbA0sVuUL1tYvD6jEsf9+LE0gS28HhCduNAWV5TuVkuXp77EorAOyCXq4G+6qAzG17EqXOLoFjKtq73A9zdVCZD6cpwZ1WAsw8yMz3ufEc9vYbCZ//Wo0Hn6qjHe1tmxpyeVKtNylasxz2rliEzs/WJvFytTQOi7sltFXrUBS7RytT+uJJ6uPphBddHfFdN/b5iy8EoCIQEiMEI+2hhLBbkOSBpihBPS5XcHzwfLqCye3DvHZGOoVi0s54qTB31u1uHAzonMRytjb5z8oU/gWZ+0ISOWdwh0GEpBwRUoIt78IQzpe+kN5eDe61ZMo4sIuLQJpSqowxthBj7C2qwC5dlOy1MnjZiDEpM8dEmkxXO5Ikd0ykI1GkdU9CP+bQccmHPt/ibDew+11LO+hdCcodG8bihVW629Hca7H3+K2S6HGYfdVWi/nQyUrXvd0/xz7a7U82NFN+5Lt63PtUyKFzEkQMKDSSoZDOJlIWVDmoCxvTveBcPi+ymdl5cNlc2Oc5mHPZkq/E9mf57PfM7cif572ZonzOhdgcWKvNTVSugvz38x5X8OJYEycG7WagVv0j1RO1CtQOoPPnLqAROEtkVXfnS1dx4Iv6aoe5VQ74MZAXM7LHn6eF9i4SOvk4YJWgZIqX2YJBEDNKNX/4sQnufrRue9ukZ7W3lLZrR5TzV4rPmq8s7sW8BpO7x9DF+uoMZulalHu8u+WzbhmtbTfTuaOSahLpoRKPlz8/4qfe2eHX/zBglEjbiKolSeaqSC2cz2ZBXhnhYGxLGs7nU86qntcpSSmKJJANMEVxARRBZ3HRm1XJH3f4k1gDP2sGmqu0uLMKZSDNx1fks2+8nDUE1e718SXClSxV7e18qLFH8pXhQpZgZbDPGuzt7D8v15In0hTd3nbbbO1IFGfsb667sxnXRXApE/wg4asP+3zq7gajyIe6V2jvgr2LwHZ15nLc/nKPmSAPONemb7ewqZyq6oIbjMqrDKu14qm2G/EqB+hJ4lFvJNzy8gG33z3gjoeVtQ2RICSx8Bjkq2jBf6YCFLvbTFWT27tTlyKzzylBZd8vf50P4smBnp9fIwS62H4wCzylg6Ux/JQ4M4UFPU627ipZYrFaDmBdlNAOofQ8x/H4Rgy+xodaBXJnOaku61UWF67edr1l6TgWuf4t9lPPUuVFcicHcglsT40BXZXg9jJwB37MSs/w+Xsb7DtTs9JE2JJYkWtvgTNByqwCd/Hdiu8vHKB/A32Sg9tQpMgr5bOuVBlL/IzXi0upkDpFao945HHpxpjvemmPB/cEtKMs/aqtHo9Q5PtASDJvvFJGW55lg03uFBektIaEylraSjbPpUqW8BFZDXkBdFGcd42zqpuS4ccxNS6H19Ld469FlqRKU8MwsncPYZMudsLThU/Emn5k5cOYVctN1RO2BwJci62aLCkDzBLYJbhzH7wMLmUxmN1UGLsSUOaJHNdFkbZTXpPy51+o8/5PtjDCs753hb0ptbdc43M737Ga+Kq6TRdi70olH+P6O2fy1a1s+aa7Wmu7jaO0vriSmjj1kUrz02/tc/C0z/s/5REnJcg1gpGQKJ0Pksi1ggPyAtQZCoFs8lv2nUzZC5kDXVggy/w/E7lUKUdM5FahycBuHHCXq2BVclg5s4b2FuMXZHZLDVqnpNoeP68WaKJQ06prpLJaPO9UriJ8XBOZCzC3C+xqlq/C4G5Q6byXe9w5s5cz8TLve8wxkTm41Zg8GduzXmV7z1gNHuMHMQfPSj51Z5Nez4e6Ws3eRc23s7qIMsFTkWRjz4uT8y0xuAN6cLS4qLgnJms6KIAuy71rtLRaXEqPOE5pNRPe+oo+X7qnzsEzWVLBDqgmFYKBXWvsZ9QZuE0JdlOAOnNLyJI/5AtO7qTkqXvL3ioDXylPqkDPJZ10MFQhwiIGrOrrckHMVsixfgWjKVydUZQyGCYMRgne5g2CZgCdhZRh5JGkdjbdqrkna+jyNV2TtT50DuIiMeIyoKnIE1HMvivdkwLcOXMLdzB77pzoynYb0pElUmaOScbknpcwijW3P9DkK49l1YLStwAfY++8yEsJQSUYxg2ixph8jSX1G4J8HOjOXesse+hu32FMprt1KVO0JBUSlUq0UMQjj9dcF/GaFw048UWfkbY6PKuEIsFjKLAVh2QhpBCFgZ2nflRxtnNHJasVFxTAN0KUZG/sOTUiCzwrQC8zqrpI9pSzcoTAlvWK/PM4AWkGtLV6N4t59QaS1LDSS+kMJPWRwtu6ddOKpP+lZt3/niTRaKNKZlnjtpa/uwrYlEBek70LMOMsXznoHcYugJ0DvdxloOqcVPW3KtLvqfM8QUrbqSODhLseDnjPBydJjVc6J1IhhLT7AIkyLV9lcNfxWZu9v4UkZons/AQxLlNMRa5o8qlXWTGWKB2VQpNL640L7ZEkmiBI+eUf7bDvpMddD0l0IDLI2i8Qa8UAV1AZR5asockLLzxbbfPPmwWUuQ4X2QWgKUdJGBcPUPrkq5ognK57N+FTqRkfO645GRhIEo2UPmGt9aXNW7avqOuu3t47d27p0CiWPzWK0kqOq2rlVbOOeSC4ZuVfHoyp1QVTbpGUW9ctC8C6FqCTyHECyqKg6gLgdqWKV0no2F7Lk0uC93xoknsfa9pNeWSQlcT6eFJQlxBKsk2uqs3Fq+9ZA3QxJKc6jEhl7V5SjTVMO8etfC2ci96sPq45GThzAMW41HN/ZmDdbELoGR58MmBl4NQWZGFmPkW8rDi0J15UgP+tXK3OheAwa9UtGu/1dSSOS6qVqbI4/42o/Jvj/7718A2tZo3OyuKP7N/37D5vqW13MdOpLHrtci1kv6ub7RoLMMeCy3G/203R2n/TVNi84idXtsWoShO5hubOdxhY867cwDIrhc2ep0HKhz4zyae/1sTUFAhl0Sk8hJSVfsuyv/EbdMy77DO+djq4GCOc1U2zzgmzz8dG55lqh4/O5geajLmN0WWNipBIrUiFhxyk3PLKAc8e9nnvn3hEYeIswwKjfUZkJdJ5fj21JrbBlKDMpIEhy25qU2CxCDZzRsayubUHywUhP/+2NERUV/g0x0/G4sb5mPnzIvNZHqfxpI/vSZp1RS1UNjvvXg15+xpuGxZjy+4YqMtjNT4O2QW5GZMornNiGB/BWwF77neLDOCO9q4wuEwdJ8UFd4p0ak/ueCjkg19sMkyzTIDIrcEsaylMRXuvmZp3ge5e7OOBZwXsa7OfyYK73HteldHErCqhNdLJbErHWRF2aKqWWXGW1KTaI/Q1P/qmHvc/EXDHY9YuzL1xpEAbj5G27WhFEcm4dZghtZBSQqDIpYkD8rzpwdHc+e/kQBUSpDEVksjroYxwCVOMHUtTAj13ZJzkUS6Xi+1jEHg56IwwpWNEeWIrgHbZGyiGmouyyGh8omjhdcPq5dQFuGsPuuAW5c5eapUO11UPfJy9ZVoGmF5MfwS/+aeTHD4VYrxyt+SK9s4lUgXYY4BmDTAXEM4P0tiStwbIK7sYQHW5xi2+cvX46toULbOKQ+myuEKkGiE8ZKS5aEvMv//xNvf/Ykh3mH0ZLYvPleIxzIO5vLhblyA3EtAZqA2Fw6KygNJIivS4EbkON06Sx8kZ5L9TIUJRXgAFcZZD86sj36hqdUSlmyrVmjjRGGPw/HAGIRVm1MXEQ6rNvmtZgW6dwIWck3JmdEWmjLF5ZfTumhJFOz64s41dxuYFc1dcE2d33szz9ryYJIXf/0SLx/bWrOctc+YunRNfVGWJElXWrsQiY8ydRU64QzfX4utVTD7mnJQNEKXtZcFsVlcbCsvgRdCppQV5KtEiu6eZVNGa6y+P+bnvbfM/PjZFlGYsDkVUmKIY6VyLZ7l2B+SFRBFOllPYDXqNy+YShC6ZW8qy/lxUwL3agMiDz9yWNzgXQs7qDtAL7zxrsjAC5manmJmeIE5SvNe87vXU6g2OHHqWh+7/Ep7yC5CNX00XBLUDfMvUY1NOK/LE1d7uBkZVWVLKlOr+jCV7p6Uud5M6lXsWWNZSvvxAyAc+0aI98K0HmHneCIUQInNOyqylG1Sryuderb9LV6k6xarcX20M0GOsvQrvFaAb3ARQydrZVNhckrhJIGFtxFQqpNG2XiVRTNQ0P/H2Po88E3L71xU0koyps08oBYmWDMljihLkBlsaS2FbWs87i1VtWW8uYXQuN0r5kjO6ZfCqtWrGgJ47luNglzlzZ+8Z53dMtnREUcw11zyP6667hm63hxcGHmHgZ00Pdpywe8UUV4sD5GqgaSpX0lr6u5rMcfS2MFUf3AF1Zbs6Ue6wawGeVv1uaa1AWeyrbgNLKROkl7D3qMf/+vgEBxcDO1Mg87vtoyzZ22l4roB8LXlSkSZj05pWq5GqSlnlLrgsXiZWikYI1krjjw0JyguxjC42lRW5VBEGIT1kbNg9k/Cz7+hy9KzHgVMC47kCS4D0STOQMwbyPOJThfTK/G7IWFwUgWYuXQsWH5MuljOrc2RMfkxlrtedYDOrM68UaRkqAak2EMd29wqlfKT0bBtm3rxbC+z21eMVCcX3KaTKmCQpAoO1JYkrV8qdAFz/u7qJkcpkSMnkju5WOns9nswpga5UipQJQZhwti34zT+Z4FNfbWB8VabjM2myFnsr5wJc7Zy4MUh5sIvj5TB6qcOrgK+w9iqrqypZ1vbFc0C7AWje+SOzoqb8eRZ8ppoEjS+tq9IeSX7ptxXnVgSELt0KDF7B5KU8yS60/DFjbSXB6Ey+FG5KtseqA9wc3DLNAtEMG6aoR3GObVqtiSpwVFxj1QI2URw2QxQZkrQ8dlIpie+HZ8NA3LZ+bpLAi/FVvrOt2y7mps2rNdlq1WuHfVVeN+K6H1Xg5h53xSFRpTVY1J3kFYNjnrfMg0mVZM9trUmE5nP31fnyQ42s1iS3BGXG4Dl7l7sGu/MGXbdkVVmso8XdEzHO3EI4QB6/ubUoLqDJmbusa3bbyHIHxdXjqc4TP05q30i0Udl79nmSeAgjed2NQ958c59AJJAkoPN7DCbBGENiYKhhpAWRhlgLEgNJMaQfkmyPzURbd7HcijDbrSILitMsK1s8atszaftPTXYv9+5M3cfxuzHZoKr83zYk2jAYpTQnptFG3FarBWeFlMgNmy5m/thtR5th939u2TyL70VZOry8VwDr9EGWMkIXwK8CW2cblWrKxE558bjJmkrhVPFvut52+bqUIo5ronLXxNabJELzmTvrvPdPJzi54EOgLHM7gaXIwF1kLccqGitxRGX2iagAuGD0/P9dqVLBvFgF9DUTxg6Yy30tS0lSAD6fgKWl0xgh7YZMWY2KTfHbzh+d2ha3eKTYNqv5pR/v8JZX9vFFBm7jAN0kGK0tyA1ExoI8ycCcaEFiSqCnlecu2PPd40qwVn5PuyDOgOtcCNpUfz8HuckuDGNM8W92+wnTsxs5vxz9zz//668cvfrKS+0ePf1RH5UkjKJRcfDKKLWUKHJcW1M+B7fexNHi2b+x2vd2NXi5sWgpTTKZokrXRDpSJAe3dALK3BL0/ZQjC5IPfLLJvkMhtFQBapvYsdo7lyZFnyXjHj1rd8w7wWYejuXRvcvoq5m8dFHWSvZY1tZjCZ/SRZFFzqKavpfCglwKU3jjImf2rJ5ACI0WCmGsNx6PDJfvjvnRW7o89FTA0XlnqSqCTitDEgRDYYNLshFuRrt1KKUuL2pUqqoHIfISWys1cvIoZAw43fjjCaHCpCqNjPx3x6xFIzSGBEMKZJtQpf7zkH6NvvZZ6Z232WsJyAtr6jLgvMDvUAV6Hlzmetzd21xWNLcutbjQzs80ZeGUI0uK9yx7eyplqSv43b+c4M7HamWVYJ6xzMCtJNkOxe4Y5PK7KQfMa9mCawF/3AL/Vm9ud32lqtC48iXfLs8CSmezAY1wwO9kOqUwaGEQ2h5nLZR9LZS9jIQm7Wteed2If/GDHf7zn06xPCjdFGvEiwzkHokUhYOSg5y8KC8HfEYW9jPaGpX8++Waukj+YCodPoV1mIG3WD2NS6qiLJfJfrfoHJOwftrn5Tfs4CUvvoZeb8AvkDkvfm0rV1xx9e2Li933JKZBlFB0+awpUYRZpbkrZa2V97STWnclyZgUUeXvrUriyNWau/S/k0pCZygNf/jJJn/yiRbd2LeFVDlzZ66JEHbMcO6cVIqqKA/0ePaywtRrgrk65/pbQfp4d30B5Pxnrtvi2IWlZHEtxPHJtFaq5O1t+QBPbco9OFse/NTbu/z0LV3qOgGdZlIlBRM7csVq8lGmyePsnhhBnEsUk2nxQn442nxMjqRpNv/c5Dq8el9LxuQDYl2tnjO4kobpqTorS0vv2bHjstsvvWhjvgjBlZdt5i8/+N/6o8HKESm94j9ydfXq4DEH6ViAKcrs43jHe/UCcANGV6ZUS15lDmiVZj/PEzlV5pYyAV/z7CGfv7q9QSfONsgkB7ZXBJiCTJoUd1PR3kpUl73CRHPeK2SHWP1+pdryW0B62a42ZhnmgaarvYuLwGlKdvX3qs4fN/BU2YapCm0URiuSWNHyDN//uh5XXDJCpq4ed8GeliA32KAzA3dicl2egXo82NSs1uBm7OduQGlWg308yCyAnoMcge/7nDm/dOQ//Kd39/365hLgADe/7I284tVvYcfO3UiRFLsjuOCsdtO4DDxWGKUc58MJRNU4s68B5iqwNa57It0s5Vgq3vNTnjns83O/Nc1TB0KML0tZUjC4dGxBUwzyGd+pYS1rcC2ZUknsCJxX4u8mV0z1adUXH7cLyy24K5u4On2bxcAgIwt/3DiTsbRW2fg3RWo8dKS49uKY9/3SClftHkGcliAv7nEGdlMEnkMNkbYgj7UgNmTgdgGfOypU7q5DkhYukAN853kl0KyA3hRuzHAUc+kll/Cud7yNW77nzcXxLJrUZmem8IM6s1M+nXqM7+fd0E4JJlXPu1JkVUnyVIPI8uduYVX+bzv6W5SSxX2uZIrIvW9VAltmCR3P13SN5A8+2eTxPSGpclhblPUm4NiCFVBXnZOyaGfc7x8bC1EBe8nq36D8ZE15UsG4k8Us+jQr77vMPlYzbuw4Y62zkcbCTqbVuR7HoIXM8hXS6nFtSNF4wnD9FSP+2Vt7/PL/8OkmAnwoikjcZkqtSIUgytvYtLCZnOzRYJuR84R+GTs4AaQopX6uxXN9LjNslTq8yCvZhE7+kYQt2tIaoshgRMjUzCwq6K8GeBBI/MA/ODUZHJqeru0ejiKK3WwL/TkWYGbvjQO7uDDyxI90Ae0GmM57UqOELp5b7Z86gE+zepQUKVKUSFAixfNT+ho+8KkmH/9yk1EO5jHmRkhkbgvKUpqs2mfHPbDjjC1KYFeTOaKULKuQ/c3kyTh7jwHD0eE6A0OV0V3JYjJwS3vijXVTRFajIoy0QZsx9rnOgk5jSFNDIAzveE2fPcc8PvDJFr0Ye8B0ttbnjxmEUy0pNk/OUvW2RsYCWYm8VsV1VSxxGhfkecxj4WR/B4p5KwXInWOsnXOltSYIm0i/ccj3w4NSxsUxLSRKc3Ibh/fff1sqpj+sgg0I0nIfm0wmeGv1Qq4KQHVV0oxr8Eq9iVtHMuZ7u+B2CqukyNk7RXkJ3Qj+5NNN/sufTHB+0S9qu91aE3sXDnubVdnKVTNb3PJfxsDuvh5j7crPxDcGd45qt9CqeK/yUmSMXg0wK/54nvihKllcZ6Wqy1Vlq0I7Ak6xcVbzqz/e5sfe2qUVJnb9N6mjxzOpYlIw2rKnrsqVwifPpEZiMs+8kCf2M1VkiF5DhhhR8dFtkqlMMCWpVVNxotm1bY7NGyY+fOsdd992yUVbVjM4QJSGKFH/ghDiLbVQXuepJK8rc9go98VNVbLkDI67tJvi7rJ2yei6CC5d5s6DTTluCwqn/FWlyJrh019o8O4/nuDsUpbMWcXe1Yyl3by1OsC+4nnDBbxvUQGvI7MdYItvRtjflM3duYWuVIFx5naGZGqTTZUSdhttUQJbmNITFyJnbbLHXK5YFkd7xJFh03TKr/5Eh8WO5MOfb0EtWzpWMXnGpkhibFwQCKfoKsvE5gxO5pnrzE4s9vsRJVvnUtit87b+t8gHW1VXP2MIfB8p5eNzM40vdLuDyu9I98W1178ar/exezfOnH94ZnJELYjx/bRs6hVlo0Gl6i+XFMI4WdDs90XpZ6/VGLwK3FmDwrjP7YJbyhQVag6e9PiLzzc5Mx+U4BZjdykRmebOnRMvS0yMd+q4jdAFmKnKkiJ4zOjb1d/foiopT843+rnjfWtXlrgXQvFYZjWrroobeJYBZ5G6d1g8dRyWJJJsWpfyg/+kz+5tEUQZi+eZTuMGoZbJ89R+ZJyUfnEXGZPb59qskdo3pW242h50AktTMnicQD+ClZHH3jPxw7/xv26/9y1vfl3lOK6ahLJh4wYQkvbCMp1uRJQEdpcvnQU9lSCrWilYsvh4kJkHl9qpKswTOk5AKVzQOzJFuBnLFBVoDp32+A/vm+Krj9RsA2XF63a9b+t552MgPLlaa681zKfyO8643wtVEuYapXJhjP++WNslya+KfOvG1QB2/HFDwd52U1ZbkyGyAHOtoiyBBY/QMksSSYQGITRCyzxkJRUKtDUQ9NDw6hcM+Y2fa/Nr75vk8JnAMgQUCSA71DunSTuDNkGgsc5IvmLm2lsWuty2puVBZ57fzfW3zChculhzAs2iwVgLehGEYYMtO7ah9WraWAXwxoZbEMKLotEHGQ33kaa+7fbJAwRKF2V1JWEV6JWgkjUCTKlXA7wC7tSRK5lr4muOnvf4j38wycdvbxCJbHN64fZXluCWWPYu67zX2H5bmFWShDXAWQDY+R3XDvyGxO3+cM2ltlyaVxWL5yW0haNSrRMnB30ls1k2QkhtIayFBbkoMqE54MsoNpcsiTbUvIR3vrZPquHXfn+SY+czZ4UxcBeSRWGwLJwHkXlvp6Z0VvKuoBz4dvuTXKo4qX3j4qt6CHW2IvQTuHTHJv6vH3tDFMUJH/7/fhOAS38Typv6xaB58ZVq5cQr9cBGxgYH3NJUAT4O9oKpS7bOL4CyLLYKbFHo8bRiDVbS8F7KsXmfX/69ST5xR4NIZju/irXubsbSGV6fkc+a0oSxYNNB7rj/XQH1OG3/PW7juHbrwlen7e0fzXfjyBl83Csv9HdFh7sgz8bBZh2hOgN33lCcJOB7Kd//hgGegl/5vSmOnQ/I5jBXL0L7Bws7ViOIsdLClwKfsgzbZHXgkkwqZgNBi82vKK1BmSXBpCsb8/OjNZOTTW68dufXrr986y/OL/dWHddVAPf8ab50x6c7sG5fvDj7sul6R3lZ5aB123R28scZ276XSxHXLkSUurwiV+Rq5s4BLkTpgUuZIFXKlliNuAAAKUFJREFU6SXFr/7+JJ+4vUGkxsC9yha0B9GX1S6dtdi7qGtw5AuMS5Ex/3tNcjZl8ufvgvNV4F3ti5dvCjRu7YmVKSaLAcU42AtWzzZx1TmT5x1H1ie3/50tWxWojKANSWLw0LzjtQOSVPBLvzfFmSXn+40FnBboOchl0eFjsmIrbbIEG7k75MZB2YBOyoA/r2PR5H2XFuiegkAZLr+E9Ltvkvvuf/BznZtf9N2rDq1kjVuSCuJo8HOIDU/2BiFJKou6lIr7Uclkls0IRdrdDS6lG6A62roCbu1o8TygTFBKk/qCP/5Mi4/fmoFbuprbfRzzvMcyluO6u6qrS5ZYazyE63+vpa/LWdXi74rvajZzVVKn6nu7af3CEmQ1g1dLbMvOH6PHM5vVjGdqVFE/ro1CpxIvNbzzDX1+4i09vDQt7UMnlV+96yz4pKhhGWbp/cRgs55rBJc6swZdW9HNfuYyWwmYbAjmJiaebC/3fs5XZs1juybA3/yGt7BpWqUbN19kpFKVQLEKbF364hk7izGvW7jZyVVAd6sC0yKozMtfVQZuPMFt99b56G0NRjJrQZIuoB32pnRNyn11HEDjAt0UlYGV/XbEGMgdpna1oAvo/BdWlcl+K+B2frEiUyhZfZVrYoOi1RWHJpt+5QLbaY5wg8/yMash13kNeZ7Ol5gsra9TSagN73p9n9fePECkuvTGTTLmqqRjz20gHGvrsoyKQi2K9H7ulVfdFVEWbOnygsi3npdSccklF5tjJ0V64w1vWfP4XnCe7GVX3kySDD56OHr6Mh11m76XFrXZefA4HnAy5nlX/G+pnff0mGuSZheGYw+KFOlphAefvbvGL/7eFM8eDrOG4TWA7QaWIs9WjgeW1UROdRzEGo3WlC5JIV3GdMtaAdC36hZWxuOtKU9E6YHjBpZjnnjewV5pUDaVR13R40Dhngh0JlVsf6O0waYwaK2sTBBWvpgUrtkd89//dZtfUPD5uxtWa6jUfmqdpxt1di4yuSIAYTdPibXd6E1n30mRj2TOvgPOjhGmXBltFtdUgvDpmXW9V7zspo+2mrULHmN5oR9MTm81UfvR3920ZfdCvTYk8BN8VU5qzbtvXIlSSdSIMdbOZYdIV4HbpumTKriVBfen76rzy/9zkmePZOBe5XW7TG5Hn/nCXrnFzgy5/mYc1N9AbqzlqrD6viZbj7HxN6buNd4fq1HJnRL39bher6TsoZLFrGyD4ryXy5TcIy9Y3Cm1zTuE0pzJI8mVO2Pe8/NtvvvlfUurFYniMve4ZLEdOGnO5MZ2CuWFWmkmWwo2d1g9Sa2/HqWCYSJoD+HKq69YuP2eZ373op1bL3iov8FEcJhefxVptMyofRcm7Raslv9r5Ql1s5olS1vmy6VLXmuinTqUPKBMrQZ3wI0Hn767zr/7/UmePnQhcMuSyTOm9Qtpsnp4T96FUxmg+c3A7n7XMQtxjeJBB+3fug4fH3RasLXz87IuxVJbkSmssHnpiRuxFptbnS2yznvXZcFIy+xZnYrO7BkhsujVqZIhgmsuivkv/7yNMfC5gsm/2RUt7S8J24kUZyaOFuCRDdyndFG0oJws6/KCgdmpCa5/3mWsXzf5DY/tNwR4UN82Gsbtf9aa3PbXevhIM0m9oubYmPKPihzk4343pTQZDyTLiyAttXgGdDzB5++t8Su/N8kzR4K1wc0Ye8vxWpO8gcEZUUGVvVfPfnEDxjEwj4OdauNDfgVUX35ziOcjuVfJE0rgFhUShXXoyg9XowsngSQc0GcDd5xuoIptmLsrmbFdfAdpXRWrXhSpzg1FIDJce1HMe/5FG23gC/fWS1/8G4EbikejBalw4o3/X3tfHmdHcd/5rerud828uTQzGp2jW0YSkiyJG2MImDMkss1iJ7ALvhPsGAxxjNfZhZBgQ/CB8RqT7Ic4QPaz6wD+EAgOGIPBgnBjDALdx2h0oNFoRnO+o7ur9o/q6jq632gkjRCQ1Ocz8/pVV/fr1+9bv/7+zoqoiBN9CtXuA4OQ7D4HeJXhpA9PH6GU/sn82R2Vwwb4gYF+5mUWvlzNY3DnjlfqFk4vo1TJGsH14sfkERC4WKaOKCktJTcM7h1Gkl6LNyEhiMPAHYLHXsjh6z9swLptY7ngTXBTDdy6OTAZ521K71RHDyTYrdp4WjaPwq6yihtSXZ/9Vp/FQrQdJBbXdiitqXRq4NYnA9NOEeVxEthAl/ErUY3DiIsLL4uQ4izythC5fAOTv62wa0MGxFYDLJ7l47avDoJzgieez4lMyATIGZLiXRgDOQhC+ztCLbECCMuKH4UBhJUAK+YO4/ovnjS4aP7Mlw8M7reXakh8Su3mTUF9fXPvcKlySVPbqT5n1Ti+RFck1WPfdOBIcJtcXLOUOIpzEyrA/dQrWVz7/Qas65Lglo81nZY4EcoERSFQzhzFu7kBajsMVncDp4bHxiBP9sXYtcbp/YfauPUX92udCQcnlOVEz/7R6xcqF79mUWE6D09aV4wECWa+8igTKI5lqRIs6vTxg68N4MwTynBYGKW9yyjEFE7OdK4uvhiLogWlVYVFwA51cHMC+D7OO22F79DSJY3Fpt7Oaa1j3tcxAd7SkEUwuhnzZy3aNXP6iVsDtMNx/GixWN3xEc07osBNNVoi+jW3O9Fc7yQQktsleOKlLP7stkZs7MogLjOVsJi4GkURQSIGNYGdnaN7L9Okdy3Kkiy7lgpoHfj2DFBDDgruNPd97LGEzbdJzMdtUyKTZkTLZMih5W9CNyPCyP7hsZ1cV0xlfRWq7OPSlBhS8CrBgpk+/tefD+DsE8twwjAyateyk9ugF0KYcSCEBLc9kQH4ASZ3NGP+/FVbp7Qv3vXq2h0gpHD4AAcASh309/xbV8hKXxhkS7BnfwUOVaanWOGU4Iiz5y1TYERFCGUgNAShoYgdzzJwF3jy5Syu+V4jNnZnwGsqlNo2NcHtkPR63gdNO4sV5CRGU5VNS5Kb4OXGOLG/Nrx5YiN6q4lxnYKoT+AK+MyiKdCktjYx7MKdCuTUkOa6FYXHCcsyjtwxJLnYFtKcVwgWzPBx+7UDOOvEMmgYBWtzpkltpgGcae8ZdGomnTkEMvpToL69cQCXnjsDFb/6hXv/dU0XpWNqtQAOwsEBwMnPwe6eYRRb6va89Xp+Taln3Uc6modRDdzIvS0SFoj0SBKWBHdsLeGRUhlJ8yzHjv0enn89gxv/roiNXRnwTA0bNzSLSeSVoYAquwYksnPSaIqRxKCDu4apML7TmjczLqqp0xVtchDtB9L3j9ViTHN1Iq796LFJ3OLgQkEl2hhucXEoJRPSVh658Knk7lLBFGZWKbwQxZdzSgX3jrKCBJ+PZGPEgCkBiM/woU4fd1w7gBv+nuHF32axY78LZKDGUke7G4LLq/dRsBYRMV0O4chQIAugUuI4b1Ue1102a03nrI/uAQZBSONBAX5QCQ4AU9vrsWfnk5uXH1d3x0kfXoHefhejpSz8wFGKZsTHHaLHjitwC4oSxFTFyXJs3OXhpjuL+OptjdiwYwxw2yCPFDonBjbXSj6YZY/14CoJyvFYTxLSXnPj2/xEVzgNNNv9acC2nT3aT6+/wu7XObbhzZQTRePWcm0fqMmgu/ClTZxzjZowq0KWZi83MoJSJPnCmT5+9PUB/I8vD2L+NB+o6JI80CR3utdT3hOHAFmHozHDMClXQWvbCdjT33bH479Zs3k84AbGIcFl6+zsBFB8uXdP5aF9eyur/dHNaG7ggBdEpjg9h1I5c2L+HUUHEsLh5Dg273Zx011FPPhEHmVGo9JqY4A7DqgSoHJgroRmUBNYwNakd60+M/xVATXuTvHBK+pCcFARfQgtAeqEZxJyGRszSItIYEeRgYb0l/3QgrGgWVoU7aRQScxRKk50jAB3HPKnB1pJWwYBaMAwuTnE5ReOIpvh+KsfN2DLbghRLK+T6mYiLh57Mr+Tuwij3ylDOeq9AGedMQenLj/uoWLTwpfhDI37Xo4b4ITMx85dPV11DWdeHWCrw8mei4Gy8Gi6qjYgoaGhSCrqEgqPpwds2eXhxruKePDJAsqISkyNC9yCd1NpLYHi3sZiWDav1l+pBVx9fwRkIwbFlvApXB3WecaNdp42VHBsQyprYLZfxX5NAZUOHp2CaLZ2uSQK4YquMBL7ySMnkaxWK2L4xHr0woVPqTQVateugzyKD+eVEFmX45KzSwAHbvxJA7buAeBGPEvGk0t3fuzqFxfrE4oyA+oYR3NjHrOmNj9yyUWnXr1v7+4dS+ZMHzfAx0VRZJs+rR2VA8/vmLtw2dqOjmbks8PIZKrwHB+u48Nx5TLZYey4ieNLHA6aBbb3uLjhJ0U88EQBZU6FteQQwW0ssQ2Tb+s5lnHIrg1OIu32USUEaz9SwJ2gJcbkt/B5iNJccm+Dh1uvegUsPflY32+mtRGNrkTSWi7ya9MUq1KtLOapLC96mpuqlGXUWbGsK5w7YAGQ5xyXnlPCjVcNorPd19LfbJNhVHuFVQFWBQsDjATA3lGGxrYpOPGklWt/8asXd7R3TDukeztuCS5bU0s7nOzcWwvkpTm85H0KQS8IJSrsVbrmY3rCAcpR5RSvveHhJw/U4f5fFVAlVMRzoxbA1SJJOoIcyDiTZE1Bu6Z3IhUNCsSJuG99WwO5IZEt6W0rmjrGD7XFwDYktrSYaOAmmtlM8nDCDX7NowHx+vGAUaxSeOEJnNhZJJ0/EIU1tRorHGLhWQoehQ+ISeEQjb9DWFhsuiJSzBgyLsenzikBDLjzgTr8dn0GlfiiGOLVqwgBIIHvIPSB5vZGdM6a9rPfO33Frb9bv+OQ7+shSXAAyNXNAx+8ZyBTWPDZQgHP5nM+cpkyspkyMpkKXNePSqlFlhOXowSKf3y0gNV/3oyf6eAmaeCmGri10HdiJg5LyU2J6ZbXqQSNM5AsZTFNagPK9m2BPSHdLSUyDdBGMvJ40G0N1iU2N94ryW1wdc00aEv0+Dy6hNeVTN20GCucyh7OIykeB2XpiifTlVPTTs6jePIwoPBCAfKHv9uPKy4aRR0NlX1cSvHQBwmqoH4ZxC8hy8uozwbPLlsy97M33vkvA8sXdR4ywA9ZggNApuVKBCNPj8K7qjq8+w68tHYvhktZTGkPcMIiX0gGANQDhn2Kex4u4C/vKuLAkCNXg02a/gxbN7X2q/juRKxJinVEKZKaxNbHpIHXoiI6iJXU1mNNTLYtF59KIr0GphXtHRvkGjXinEuKnuqyVzw8JU6FkJjiGonMEXUh0rchr4WLFEWlaIo+CsHNBRlHzLmptBrKhGSIfhLppGEIuJShrSHEd64ahONw3PsvdRjxCeBxgBG4nGHlIh9T2kMMDFEMDMzG9ddeXnUoHf2rr6w+HKgeHsABwCksB+fspTd2X3DKZ767Jr97R4A5M0fxvWsO4KLTy/AosGmPg4efzuE7d9crcOsOHJAa0lvfVsZ+vRpVgo7ADqbiKRJY4942yMd4TeXiRIF+LDyTmnssMMMGqdYv33NzYhixKUSa1yJwE+XlFMCOCE+KZUUcq5J8Y9s4paBMrHnDKYulPGJ+r1lVYpAz1QeRb8mIWOGZMQABQ0uR4a+/NIScx/HI0zls3uPCoxwXnVHGbVcPYt40YNfeIp7bvqp00vJFL1F6yETjyAFOSBO27Bz+VuPkT/DjPzTytUrp1VxQpfj5r7M484Qq1nc5uOHH9Xjm9SwqAU0Bd5r0pnHSqq5UOkjGdlPLiaMnDpuroan8PjssVsddTXqCFJd94mZY2yR11JjgJhKxJG0nDG4u+knEs80LkWG2nFvH2qBmEAV6YjBHB0WrXcdOI6IUUjAKUAaKaGVlkCgAi8QSPU2SEyA+bwzyeoZvf3kI555WwQ13FrGhy8HHz6rA9Ti2d2dRKJ5QvuTCc2+nTvCXhDQfLkzHjuA9WLvj+9/mU+Z+dM3MduKce3LPKVeu3u6ctdJH1y4H37ijiGdeyiJECrhrZMHbklt6KjNEGFtcwx0fAZ4iGTFItYhCzXRorKAWx4bLbaLFi2tSn2r9UdSi0H1JfJxMmJW5mxRqW1IXarxH8o8maZUcn4xdV+egeoQjYPVzGAuoEqQ81fRXkqBqup6RiKKM9+mPOH2CE61bSP/4SQoOLwPMm8WwaE6It7scrHklg6eezSPw5lU7Zyy+1WP7/zrXsCI4EowetgSX7U8/vq1aDdtvaa5rrA4Puzfd/RCjb2/JYfZUhu3dDHsOSO1YilUN0NBATanWB62eiVQqVaBUgppoP56+/EitHzPxo6UAJC0RwvzxjN/f5OqJnWM0TWprISjmEF16W5LckMwyRoATMM5AiCo9QXTeLo/TpL1BdwC1HqZldmSMglKmMo1AwcAiSS6oCY0sJHIlFFn0x6CKPAQ4sHufg227HHz298t4cyPFz5/qYI0b5t3UMG3y97t29lWPFJ+HT26i1j7rz8AxWnJzH37ouTcv4Df8uAGNDQw/+sYA/uTSUTTV8cgElJJqRrWlRWCCO8G7qQK6pCFG+Csi4EOjJFA3NBW8KaAGVL8hlQyJlaQ49vb4CUqy6XHeRvqaFtwWF/3Rx3NFQYyFrHRLiWZvN0JloZd8M5XQmG8b6W+AmfpGYk5uhtk6sZ2caxGJhBD0jwB3/ayAq29txMAAwY1fGsD3vrWMn3Hiwod4Zbh001evPFJ4HjnAAWAkXIRM48pNJXrKVZ+77Fy2fC5HS3OI3zuxjNYGLrjbQZ04NMaTBLdRkQp6do4EsRk1aBfNRAqAY+BLIMpHvvYexj6rz/jmJHGMPojo+y2pm4LfJKC111TQx2ZAEjmKbABbIE17D+kEkufQga+2mTUZYtOgEYmYjEhkWoa+XooChKB3kOLJl3Lo25fDa5uLGMVqdt5Hll21ZMGqTWeeMGcioDkxAP/QgpPw2POoPpP5yN1/+ofZ685ZNR+lgRyqFfFFFYBlMXqzholEok5LjEpUxJTYyWpUgF3iK1Y209z2lsTWTYM2jbH36YBOBFml8YtxNl7jWMOzCYtO6H2GzVsBUfeQqhorlv07ehKwlH4TxEiE1trBWmrFZWkPV2sCxYnLkaeTEiCbJUAui43vLMU//WL6dfnG8+/+6LJ91XnzTp4IaB45B5ftglPnY3TonZDQP94Sjkwd2rB+X/G2+4axbX8G8FxhFKfROpWxiUMdT4kKefU0mpIIpCIKuLXS0GrRD9v5kgZ2XXHSJ4sCN7HGaa8WPx93s3i43S+TkKWWxqX1JAI10Y6NTyVDPgjgcAl03XOp2c+JOk9choKqJwIg+br4UGkvVxYUXVLKSCwaHyNWJhb2c+6Ic/i+g86WENd8uh9VOg1/dPHZQ5dfvGrL9h094ezOZRMFy4kDuPhudcgVtj+CwglffvuF6u0buh9r4eEA4DkAzQDUg7Rp2o99SUPcGNw6n+Zm7W7wpMXB/htDWTQnQDLP0hbMac6f+MWmL2nc/CAttuZJkEGBOAHg+L1UIJXdm9igRaRcEs3NL5VRO8xWjoGueEal4eLjtOuMRxLjaRJ/J45IyRUXLiw6Ko9XrHJdwdmrGrBw8Vl9JbrymhfX9T1y0nEtEwrJCQV4oa4IAOh+Z+C+8z5yobt9t3Prnff+om1Xvw9KPWRcsfgqQTItSXofk3W7eSpFUYBNVoZVf6ZyWdvkpfVHGwlnjxyTAtwaemaNDtV08I6r6ZJec/7odnLl9NEBHJW9Fv+i+BQiCukQk49LUMrzq0lD4kwbIaOjD46O1yNnxR492EsB3YkSHjynArjtyBc/tW9hw8XfAK/cR+isiYRjfK0T3mZ0NCIISj/90qfO/OY5px+/r+C4KHrApAxDo8dQcDhylBvx3GpV4RqAjrf1hWfHkNzgCYCa+wGpBtrcmxgiWuxIKprENrKo/YfBUgwRyGu8yre6kgnNvGjwc6syrRGIZXFxg3unmA0tHh5zcZ3D63qAnsAcrc/pBy4qfgajlRxK5Sz8MAOncOI+Wv8H3wQr/5TQiZXcsh2Ro2es9t3bbgVpW/LbfC67j4KeQUoD+WJWlFRDdHNZZAGwFcO0sg+O5N3U3G8rncqxo00Q3aljvCdqnOHkIUalWekEkvv0Yw1nDJXxKETrtx08JDFpScS97Cwiwwo0xiv0c8OiXdpE1J1EgPo8WMdAdxDpn2N8pi4UuLpei6LJwCzfd1GuZjBazqJUdpEtzO4rNnZ8Hf6bP6X5M48WDI8ewAHguV/+HOecd+kbM9rruzsaybmjgweyHASVAPECoiG0xGUoL6MDJMCcFgLrUFPSG2vu1AB3DOKU/bGXUpscOkjjz6aaR5Iq0JMo7kL3Yo4H4HJyw+5PgFmfBCS9P20SaN5PIsUK4cYEkACuCWSoaxK7eGJbTUzFpzgXEnyklMO+vgxIdv5QoTjryyOl/P9pmv7FI7A9HbxNrJKZ0jrbCHO94s8qrdOCtmbnnsf+fXtu1HdRYgTlKLtbKpNxLEl0Iw2nDbElMzclELSbq0sUmGCBBiJDedToic7D05rZb4mstF1jNV5jXMKyQuItcQE8HhPHshhcXHuNDtedNrGiGdUGj/k318ZqH2P0x8poFKAFoeSqK1VVzuR3yGYCDO+rooyF5QKd+vmhSvHB8kBlzKI9E9GOCgfX2+eu/DSa64Lwj86a/mBj2+TL22fMLPeNhhiuMFQCHi0JLeph6E1KBD22JNViolMReZz+5bRj1LZJi+TvYAJdXkfMuBNOHxzk/XjxHW/z2jt1b6XBveP3KsJPHhd7OjV7uO7hVOdV/NusnQLtXIqTy0WtVBw5Ma41TkCnDBnPR12ujHx2BDNmtpU7OoqXr+06/sEdu/3w5I988mhAzmhHlaLI9n//3/0IO8/lfObs9Y1BuGFxp39REHR7Pf0OGDyxKBE0DyZVgVQHK31sLxaVtrAUtfpNTq1TlxT6QNNpiR5slUZHaEpfLYqSVsMlETqgP/6tJ1MqjYBGX/Q+yPFmWTqDi8e0Q4BVU7stQWF9ByoX9Y2S0B0GQqr43ZYQ+0eXjra2zr7i+BOrD85s3MZWnXrluwG9oy/BZfvb6y5D3e5ufuv1191/+3WZz3/m4skDTXkKBBw8Wv88VE9djXvbADDjvA3OCvNPB0OC2+o/vC1q08Zp8pjoO7TPGtteWLtxW1JbdmXDUmIdJ59Xxn4joErxHJ4ixXWbt25FUU8FYoQExGUouPrTLSmyFrxc3HeolMEbOxcP3P3k3M/PXrL2/rdebeJT5n313YLdofwME9P4wM34+DdPwelL+/9bV0/5+8++/Maktdt64TsF5FwHRYcj58gl/8xlR/QE4jTXPYmCstKVSlO5TEh2au3TJLXYryulxDyfPJYSo88IoY2PJ7FybEo/+4mjLEZEtwzJaEmqxeHQlEhLKU0Niqft07bjFajj9ZO4ugbCIguTtiYTkitWuzSE64bwPB85rwKOMoYq01HfdPL+ctB47YwFzr2XXD2IB+/44ruKt6OuZNqNNH4LAPCjdwbudRzP3XRO9pZv3/Vo25OvVUDdgpa1k3TN249TcUIYEjfuGkN6G5IdY70STSFN98qkKqLjEBsJ3TLRoSmV+jCpt/HIk0mgKYnW6eSY6JVAc8tLT6guyUkk8Yn4INEnDpCaiHTwMEArGyeydtRy4z7W7WlGObN638dWnHM9C/x7CZl0tCA1ZnvXAS7bjI5GcN73D1NazybDJfKdbbtebNuzfwTUdeKltgUX5yaIbBTKzZQSyDZ1kUTD2BePIYkJkKZsmp+ZjmSSAOvBG68xPraQRGPkhNU/Qi7xqAM1NrIQze0fmUG4BCrRHEBEWk547N4nxnWQ2JQiaY74THFxlHCEjMH3OYjTjkzT6n2t7Rd+c912/g+LZo9dpP5otmMGcAAgpAVd75TvXrjwvODazzX/4N4H1zTv2L0fFAwZB/GqxIbFwD5H9M+YAzV49pjS25owRggtEPFLbexYAD4c4jfGpIiDqDRTnS6NAROQKg5ElUEThYBUIYpY8ktg697RWJLzxHWomPNIZDDxhKCEwQUB3JkotJ3bf+Lkk79OaOWe8ZZYO1rtmAIcADo7cgj96n2Xnr+yb/P2d+auWjLrb3/55AueSwmyngCZvrZ5/IgG4g353q5BaALdCqrS0GtQmxrXqT6T1NxPauxOPcICdMQKatre48O4mtT2+SSlkNJcHxe75qPZGkcEcmXPZvLe6Y+N+LuJJ6RULOXy7oQAYRiAc4KWjtN9Sr2/KLScvoWxukdd55jD69gDHAAcL8Oee2XDI1+58oLM629sGG2uI3c+/+LrJKiWKSEEfsARMhWPLKMJdfmSBmr1XjPvwQSjztENLm9sK/GYRj9SAZcYMP5mpKjVGgPFsYVUJogz4mFLeDGCQyT9Uiq5tB6cJWNM7EmmlpCMvwqn8H2KauCAc45CPsfaJi/lueKCrzS3LfzH0eGd1Wzz4qOOm/G09wTAAeC0VQvx4qtvV+d3Tr7Pr1afpqz0X/b17P2bHd17MAKKoQpBNYgijQkRRXep9lytwb1tq4huR4zfR8939buajNueBImmPwKOsNWS4jFNgQ5qmK8xdYk8lNpY6MfH2fh6XLhZFSseH1taxGp6kp5U/Az6BykamqYg19D6P4tNc+738lO7DxzoqTa3vTfADbyHAA4AJ61cBACln9734MblSxffsndPMdPalL1q5zvbi7s3sGx/xUMuWsIZRHmpUpVGCWpYWelQf7KlWVvsQbrkTjvH0WiSFxvKnq38RRPCAL/m7VS2GLElwlpFjRJKOFj0KIyV1NgmrlbOo5TDcxlcJ4TrBNjvc2zfW0Bb23Fh46RJN8+c0XHLrt194YqTzzzKd+TQ27vm6DmU9pn/+kkMH+gJi/V1N/f21s34wwtmPDNlegEHfIKBKlAOiFjxS3Ox2xWuZHSfsYIxkOC9MVBJErAxpx4DzUcC8lppavbZeY1jlfMFxjhdIef2Feoudy6AzhiSuZVMTRCHMrhOgIxXQV2hAi/noXHqysopZ3761tPOvPSGbbsHwhUnr56In37C23tKguvtsj/+BABUt3T3A8CrX3A2ZXf2/YJWyuEpfT37XVrnIO8iWhY8JV9TghuWhIYmpRF1QgeqWejnSCX1wZTG5AG1d0ndz7CYwKInUN9Vl+5xxFVkNJccPhENGPHwkFHQKMPBcQJkvRFk8y1BNuc8v3TuZWxpbvHzlA5+q6d3GO2t9RP6209kO9pP2Qlrf/HDh5HNZor9/UN//+ab2y7dvaeH1mMEDXUULpXcPLKdO1Y8t/2lDb6uxhqxJUjxWkYzJBEHLmNbqB6DIuNVzPgU+d72pqp4F9uzadV5IWa/7r00FrqlmidUD2U17oNaIc+hHI7D4TpKoaSUI58poW0Sw6TWZuYVFvwzcZq+yHl1qNhxxbGGxLja+wbgAPDc65tRrMu1rt205+pfPfP6kqzfv3rrli0iYxsCqBkH8Fwi6nvq4LbiOxSICewECCMoSyqk0VjASoQw6JDmqo8DusYGeBrIKdXc9Sm6hQRl2nvlflfufh3gRlRihABKANcRPDvjhXAoUKkCIyWO6TM6MWOa81DbtBVrM/nOH7JwtNfJLTnWUBh3e18BXLbNW3egvr6u8+11m27fsW396mdeehOvrRtCfdZBc72DrCekOIme2cI8xqNQ0OiL61QmBlkyc8e0zCiAg+jglefRy7kdGsAdG+xUxZ3Y1iEqC/gjKdXlcUYJO6q8wdIUKFZaI3GAlOtwZDMMDYUyHKeE3f2taJy0EvPnzXto+sz515RLI11Nk8a/ssJ7pb0vAQ4Avfv7QKk3b6hv09KuvSNX3//4pjM2r1sHjw+hWPBiaSt+TA4/5EIxlauCRVLbiSS4I8FnAzy6S5LOAEl6o9ORwwJ4AthWYJWlJEvrhg5yJf0FyJ0oEMqJ/uRnMQaEIYUfEoShSgwmhCPrVTFjqocZnZ0YDJf9plSZ9MOlizrfqPrB5sam5mP9kx9We88qmQdrrZNaAGAz53zzzDlYu35HOOX80xb+3fatG+ete/stp1SuipxPThCEQBByhGHkyIjO4UR2RgnWhGMINWzSkSZHIo+gOcZy8Vtb8TnsPanRV1YX0fca2mMia0dP4iAEcBwef88gBIKAwA8IQsYRhABHBjMXLQ87F8ze3Fg38KXOyWfsAbAxteb5+6i9v69ea/t69yMMWWd3d/e0TMZ94Klfr2no7t5VNzo6gjAE9g+GGBoVYHAjnu46gOsIvu5G0lfxaHmDSAwcGdYk75oc50j+rfFwSrVQWYvKGNSCwqApUoI71Az9tcMSjAki6QmJkkSooBzyz3MZPI/BdQT6B0Y87Ov3UKkC9fUFtEyaMrJsxWmDnAWXTJk6fReltKu+eHSy3N/t9r6V4HZra50EznnX5PbW7pHh4cWM8ZMZ4/9729YtQXf3xpZfv9Jd7BkC8h5QyAigOY7l7aQkApUyHepAEoJRaauyPnbcb8nuNMsF7HNKz6XlSJIb0jpiHK+nnEGaDuXEEycU+oYQ4wLwAQrZEIV8BZWQIiALho47fmHfnDlzXErpF6ZO63yhrq5+gHPOjqTg/HutfXC+CSS1IGxweLh/6tSpjzc2FBfccvszcz93xSduvuqKRW/Nndv+eqbQVM7lCwjDEGBywSwFbvnq6Fw4kqCxghY7S7gBNnUdapIooize2YU3VUaNZuXRzIUktqaIP+gex9hmLZYICULEThrGpM4hPGL5fB4tzfmyk5v0+qi36q2PfuyTN29946m5hUJxQWtrx+Ol0ZF+QsgHCtzAB4ii1GqloU1wXY+seeHf8NLb7U5TQ/2dPCgt6Nq27fSenr0OCysAZwgCH/msi0zGFeY0pq99wyMgSR4vSzhH9MYhEdWhcByiKItlZgRRDF3265lHcvki1wE8h0cUiqtVE7gAcsiUJxeACkIjHC4VLvVMxoXnUjTUZ9DW1hZ2TJ3+bEPR3ehXB6565o2RcNnxFyIMfb70uImp4vpebR94gNtt//4DyOWyzXt7er/98KO/yuzcuSPMZXMrAL5ydPgAOCuBMcAPCBjncCgFoQRBwFENGPyAI4iSR12HwHMJPI/Ac6kCeQRwyaHNqEd1yzmiEN/oaeE6AuCeA3geR8blyHqCR3OIa6oGBL5PEIQiUIpSIamHR0KEjKOtpQ7TpjaDUvJquVx5bcb0ac6S5WdV64ot/z3wq/35uqZj/RO8q+0/HMDt9uhjTwPAGWHgnwtWvgS8vHBwcBQv/3Y9Aj+A5wQieXY0RLkCVAOKsi8CNTIeQT5LkMtSZD0KV0pwTYrHzhWOKIDJTBUjEEqqE4FbAjzrcRRyHIVciGxGTJFS2cFwiWNgiGFwhKOQ99DanIHruqhvngvqZNHcVLehvTX/QC7j/ZKD/2bh4jOO9S0+pu0/PMBlGxg4AADnMRbM7enpY3ff88+so7119oK57dePDu5A7wFga1cvNm7fi817OPIZislNLlqKDooFB7msE1tRXJcKye4KEIchEDBuSG9Bdxg4BL3JeAQOVVaeXJajsY6huVhFU3EEWa+Czd15lMPpyNdPws69ARYtmAmP9N1SHu3b9uGTV9O6+iaazXhbADze9D61W090+8BYUY60NTY2AcDj8n1fXy9cL9M02P/O873vMDT0cn/RoiVf6x0sfWzbXsAjHK+8/CqyZASNDRnkcw4YB0rlKioVH55DUMgI7t47AASBlNRCWnPOMTDog3GO+oILz3HgeBkQ6iEMBSXxMgFaW+swd8EZyGUDFDqy6B9oeKLqD/2ggsCbu2AROmdM/U25XD3Q3t56rG/he7L9J8BrtJaWVgA4AOBhABjo3wtCyPqB4fLkuUNgLAixYf0G8EoVuVwGuZyD0VLZX7Z8xY0jw8O/X5cL/fYWDoBhczcBIGiM4wDZjHASbd3lg3OOlkYXbS1Zr76u/l9fePl3N1LqeYSIyZDL16OlfSm8DMH0nEObRwt7QbDt/PM7jvUtel+0/6QoE9ieXvPvICCT9/XsbSxkAz65hYPQAOu3UVDqIJehoA6Q84RncWOXD4BjUpOL9kk50t7WPgBg76LjTzrWX+UD0/4/hPT3BUfCWbkAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MDU6MTYrMDA6MDDNv+liAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjA1OjE2KzAwOjAwvOJR3gAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 40990243
{'hecke_orbit_code': 18014742140423516, 'n': 1, 'trace_an': 10}
-
id: 40990244
{'hecke_orbit_code': 18014742140423516, 'n': 2, 'trace_an': 0}
-
id: 40990245
{'hecke_orbit_code': 18014742140423516, 'n': 3, 'trace_an': 0}
-
id: 40990246
{'hecke_orbit_code': 18014742140423516, 'n': 4, 'trace_an': 0}
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id: 40990247
{'hecke_orbit_code': 18014742140423516, 'n': 5, 'trace_an': 2}
-
id: 40990248
{'hecke_orbit_code': 18014742140423516, 'n': 6, 'trace_an': 0}
-
id: 40990249
{'hecke_orbit_code': 18014742140423516, 'n': 7, 'trace_an': 0}
-
id: 40990250
{'hecke_orbit_code': 18014742140423516, 'n': 8, 'trace_an': 0}
-
id: 40990251
{'hecke_orbit_code': 18014742140423516, 'n': 9, 'trace_an': 0}
-
id: 40990252
{'hecke_orbit_code': 18014742140423516, 'n': 10, 'trace_an': 0}
-
id: 40990253
{'hecke_orbit_code': 18014742140423516, 'n': 11, 'trace_an': -12}
-
id: 40990254
{'hecke_orbit_code': 18014742140423516, 'n': 12, 'trace_an': 0}
-
id: 40990255
{'hecke_orbit_code': 18014742140423516, 'n': 13, 'trace_an': 0}
-
id: 40990256
{'hecke_orbit_code': 18014742140423516, 'n': 14, 'trace_an': 0}
-
id: 40990257
{'hecke_orbit_code': 18014742140423516, 'n': 15, 'trace_an': 0}
-
id: 40990258
{'hecke_orbit_code': 18014742140423516, 'n': 16, 'trace_an': 0}
-
id: 40990259
{'hecke_orbit_code': 18014742140423516, 'n': 17, 'trace_an': 0}
-
id: 40990260
{'hecke_orbit_code': 18014742140423516, 'n': 18, 'trace_an': 0}
-
id: 40990261
{'hecke_orbit_code': 18014742140423516, 'n': 19, 'trace_an': 10}
-
id: 40990262
{'hecke_orbit_code': 18014742140423516, 'n': 20, 'trace_an': 0}
-
id: 40990263
{'hecke_orbit_code': 18014742140423516, 'n': 21, 'trace_an': 0}
-
id: 40990264
{'hecke_orbit_code': 18014742140423516, 'n': 22, 'trace_an': 0}
-
id: 40990265
{'hecke_orbit_code': 18014742140423516, 'n': 23, 'trace_an': 0}
-
id: 40990266
{'hecke_orbit_code': 18014742140423516, 'n': 24, 'trace_an': 0}
-
id: 40990267
{'hecke_orbit_code': 18014742140423516, 'n': 25, 'trace_an': -8}
-
id: 40990268
{'hecke_orbit_code': 18014742140423516, 'n': 26, 'trace_an': 0}
-
id: 40990269
{'hecke_orbit_code': 18014742140423516, 'n': 27, 'trace_an': 0}
-
id: 40990270
{'hecke_orbit_code': 18014742140423516, 'n': 28, 'trace_an': 0}
-
id: 40990271
{'hecke_orbit_code': 18014742140423516, 'n': 29, 'trace_an': 0}
-
id: 40990272
{'hecke_orbit_code': 18014742140423516, 'n': 30, 'trace_an': 0}
-
id: 40990273
{'hecke_orbit_code': 18014742140423516, 'n': 31, 'trace_an': 16}
-
id: 40990274
{'hecke_orbit_code': 18014742140423516, 'n': 32, 'trace_an': 0}
-
id: 40990275
{'hecke_orbit_code': 18014742140423516, 'n': 33, 'trace_an': 0}
-
id: 40990276
{'hecke_orbit_code': 18014742140423516, 'n': 34, 'trace_an': 0}
-
id: 40990277
{'hecke_orbit_code': 18014742140423516, 'n': 35, 'trace_an': 22}
-
id: 40990278
{'hecke_orbit_code': 18014742140423516, 'n': 36, 'trace_an': 0}
-
id: 40990279
{'hecke_orbit_code': 18014742140423516, 'n': 37, 'trace_an': 0}
-
id: 40990280
{'hecke_orbit_code': 18014742140423516, 'n': 38, 'trace_an': 0}
-
id: 40990281
{'hecke_orbit_code': 18014742140423516, 'n': 39, 'trace_an': 0}
-
id: 40990282
{'hecke_orbit_code': 18014742140423516, 'n': 40, 'trace_an': 0}
-
id: 40990283
{'hecke_orbit_code': 18014742140423516, 'n': 41, 'trace_an': -24}
-
id: 40990284
{'hecke_orbit_code': 18014742140423516, 'n': 42, 'trace_an': 0}
-
id: 40990285
{'hecke_orbit_code': 18014742140423516, 'n': 43, 'trace_an': 0}
-
id: 40990286
{'hecke_orbit_code': 18014742140423516, 'n': 44, 'trace_an': 0}
-
id: 40990287
{'hecke_orbit_code': 18014742140423516, 'n': 45, 'trace_an': 0}
-
id: 40990288
{'hecke_orbit_code': 18014742140423516, 'n': 46, 'trace_an': 0}
-
id: 40990289
{'hecke_orbit_code': 18014742140423516, 'n': 47, 'trace_an': 0}
-
id: 40990290
{'hecke_orbit_code': 18014742140423516, 'n': 48, 'trace_an': 0}
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