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{'Nk2': 7680, 'analytic_conductor': 28.320916802755495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [480, 1, [31, 421, 161, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [12, 1]], [11, [24, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396713443808, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '480.4.a.j', 'level': 480, '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], 'level_radical': 30, 'minimal_twist': '480.4.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}+5q^{5}-12q^{7}+9q^{9}-24q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '480.4.a', 'trace_display': [0, 3, 5, -12], 'trace_hash': 1113613891671369788, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [3, 3, 2, 4, 3, 3, 4, 2], 'Nk2': 7680, 'analytic_conductor': 28.320916802755495, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [480, 1, [31, 421, 161, 97], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 272, 'dim': 24, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67109344, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], 'label': '480.4.a', 'level': 480, '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], 'level_radical': 30, 'mf_dim': 304, 'mf_new_dim': 24, 'num_forms': 18, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1008, 0, 0, 0, 592, 0, 0, 0, 0, 0, 0, 0, 664, 0, 0, 0, 1568, 0, 0, 0, -336, 0, 0, 0, 2960, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, -736, 0, 0, 0, 1944, 0, 0, 0, 0, 0, 0, 0, 1008, 0, 0, 0, 3696, 0, 0, 0, 3536, 0, 0, 0, -3040, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 416, 0, 0, 0, -1296, 0, 0, 0, 1528, 0, 0, 0, 0, 0, 0, 0, 4608, 0, 0, 0, 3104, 0, 0, 0, -1888, 0, 0, 0, 3360, 0, 0, 0, 720, 0, 0, 0, 4640, 0, 0, 0, 0, 0, 0, 0, 6320, 0, 0, 0, -12704, 0, 0, 0, 0, 0, 0, 0, 2600, 0, 0, 0, -23840, 0, 0, 0, 4512, 0, 0, 0, -6480, 0, 0, 0, -4080, 0, 0, 0, 2160, 0, 0, 0, -48, 0, 0, 0, -9280, 0, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, -36576, 0, 0, 0, -3552, 0, 0, 0, -11232, 0, 0, 0, -16960, 0, 0, 0, 5400, 0, 0, 0, 8240, 0, 0, 0, -5440, 0, 0, 0, 17040, 0, 0, 0, 5936, 0, 0, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 4320, 0, 0, 0, -14240, 0, 0, 0, 0, 0, 0, 0, -10160, 0, 0, 0, -32320, 0, 0, 0, 10848, 0, 0, 0, -34096, 0, 0, 0, 21328, 0, 0, 0, 0, 0, 0, 0, 5960, 0, 0, 0, 18304, 0, 0, 0, 0, 0, 0, 0, 13888, 0, 0, 0, 6560, 0, 0, 0, -4848, 0, 0, 0, -6512, 0, 0, 0, -9216, 0, 0, 0, 9120, 0, 0, 0, -3600, 0, 0, 0, 43360, 0, 0, 0, 9072, 0, 0, 0, 29104, 0, 0, 0, 26144, 0, 0, 0, -8880, 0, 0, 0, 848, 0, 0, 0, -21504, 0, 0, 0, -17376, 0, 0, 0, -5320, 0, 0, 0, 8480, 0, 0, 0, 5328, 0, 0, 0, 15216, 0, 0, 0, -11232, 0, 0, 0, 10128, 0, 0, 0, 29280, 0, 0, 0, 39936, 0, 0, 0, -14016, 0, 0, 0, 84112, 0, 0, 0, -47824, 0, 0, 0, 0, 0, 0, 0, 26416, 0, 0, 0, -17504, 0, 0, 0, 19920, 0, 0, 0, 1136, 0, 0, 0, 0, 0, 0, 0, 12576, 0, 0, 0, 36528, 0, 0, 0, 15360, 0, 0, 0, 5976, 0, 0, 0, 11040, 0, 0, 0, -7408, 0, 0, 0, 10800, 0, 0, 0, -33904, 0, 0, 0, 8352, 0, 0, 0, 0, 0, 0, 0, 10240, 0, 0, 0, 46080, 0, 0, 0, 14112, 0, 0, 0, -16160, 0, 0, 0, -36960, 0, 0, 0, 3936, 0, 0, 0, -66112, 0, 0, 0, 89920, 0, 0, 0, -38976, 0, 0, 0, -32080, 0, 0, 0, -63712, 0, 0, 0, -3024, 0, 0, 0, -74720, 0, 0, 0, 86608, 0, 0, 0, 6000, 0, 0, 0, -107624, 0, 0, 0, 121312, 0, 0, 0, -59712, 0, 0, 0, 1072, 0, 0, 0, 14240, 0, 0, 0, 26640, 0, 0, 0, 4576, 0, 0, 0, 79136, 0, 0, 0, 2976, 0, 0, 0, -10720, 0, 0, 0, 88560, 0, 0, 0, -62016, 0, 0, 0, 81040, 0, 0, 0, -33664, 0, 0, 0, -5040, 0, 0, 0, -85440, 0, 0, 0, -41760, 0, 0, 0, -72528, 0, 0, 0, 14192, 0, 0, 0, 32320, 0, 0, 0, -64320, 0, 0, 0, 40784, 0, 0, 0, -105152, 0, 0, 0, 0, 0, 0, 0, 15000, 0, 0, 0, 153600, 0, 0, 0, 29328, 0, 0, 0, 60528, 0, 0, 0, -47888, 0, 0, 0, -8160, 0, 0, 0, 52288, 0, 0, 0, -49024, 0, 0, 0, 3888, 0, 0, 0, -65840, 0, 0, 0, -56480, 0, 0, 0, -53424, 0, 0, 0, -115984, 0, 0, 0, -144256, 0, 0, 0, -61920, 0, 0, 0, 39360, 0, 0, 0, -55712, 0, 0, 0, -6624, 0, 0, 0, -202368, 0, 0, 0, 79072, 0, 0, 0, 9360, 0, 0, 0, 137712, 0, 0, 0, 22912, 0, 0, 0, 39360, 0, 0, 0, 5440, 0, 0, 0, 0, 0, 0, 0, 17496, 0, 0, 0, -79472, 0, 0, 0, 165888, 0, 0, 0, 64512, 0, 0, 0, -33040, 0, 0, 0, -118336, 0, 0, 0, -59424, 0, 0, 0, -250736, 0, 0, 0, -6192, 0, 0, 0, 0, 0, 0, 0, -132560, 0, 0, 0, -163008, 0, 0, 0, 14496, 0, 0, 0, -102400, 0, 0, 0, 104240, 0, 0, 0, -57408, 0, 0, 0, 86688, 0, 0, 0, 230944, 0, 0, 0, 9072, 0, 0, 0, -73760, 0, 0, 0, 6384, 0, 0, 0, -20688, 0, 0, 0, 88256, 0, 0, 0, 33856, 0, 0, 0, 0, 0, 0, 0, -149968, 0, 0, 0, 136832, 0, 0, 0, 33264, 0, 0, 0, -40984, 0, 0, 0, 47680, 0, 0, 0, -44736, 0, 0, 0, 127888, 0, 0, 0, -178880, 0, 0, 0, -93408, 0, 0, 0, 26160, 0, 0, 0, 21600, 0, 0, 0, 31824, 0, 0, 0, 132016, 0, 0, 0, 60400, 0, 0, 0, -480, 0, 0, 0, 325440, 0, 0, 0, 167616, 0, 0, 0, 18336, 0, 0, 0, 279424, 0, 0, 0, -51040, 0, 0, 0, -27360, 0, 0, 0, -168960, 0, 0, 0, -154976, 0, 0, 0, 6528, 0, 0, 0, 25200, 0, 0, 0, -137968, 0, 0, 0, 119808, 0, 0, 0, 7088, 0, 0, 0, -55296, 0, 0, 0, 0, 0, 0, 0, 106976, 0, 0, 0, -57312, 0, 0, 0, 25728, 0, 0, 0, 2904, 0, 0, 0, -132160, 0, 0, 0, 138240, 0, 0, 0, 4384, 0, 0, 0, 229568, 0, 0, 0, -15120, 0, 0, 0, -21520, 0, 0, 0, -2944, 0, 0, 0, -115056, 0, 0, 0, 163984, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46881466
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443808, 'target_is_minimal': True, 'target_label': '480.4.a.j.1.1', 'target_level': 480, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46881467
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949221792, 'target_is_minimal': False, 'target_label': '1440.4.a.d.1.1', 'target_level': 1440, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46881468
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576591328, 'target_is_minimal': True, 'target_label': '480.4.a.e.1.1', 'target_level': 480, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46881469
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831334240, 'target_is_minimal': False, 'target_label': '2400.4.a.g.1.1', 'target_level': 2400, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46881470
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391124001728, 'target_is_minimal': False, 'target_label': '960.4.a.y.1.1', 'target_level': 960, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46881471
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949221312, 'target_is_minimal': False, 'target_label': '960.4.a.d.1.1', 'target_level': 960, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46881472
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831333280, 'target_is_minimal': False, 'target_label': '1440.4.a.g.1.1', 'target_level': 1440, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 46881473
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396713443808, 'source_is_minimal': True, 'source_label': '480.4.a.j.1.1', 'source_level': 480, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994477668704, 'target_is_minimal': False, 'target_label': '2400.4.a.p.1.1', 'target_level': 2400, 'twist_class_label': '480.4.a.e.1.1', 'twist_class_level': 480, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 946675
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 2}
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id: 946676
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 3}
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id: 946677
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 5}
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id: 946678
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 7}
-
id: 946679
{'charpoly_factorization': [[[24, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 11}
-
id: 946680
{'charpoly_factorization': [[[-38, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 13}
-
id: 946681
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 17}
-
id: 946682
{'charpoly_factorization': [[[-104, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 19}
-
id: 946683
{'charpoly_factorization': [[[-100, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 23}
-
id: 946684
{'charpoly_factorization': [[[-230, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 29}
-
id: 946685
{'charpoly_factorization': [[[56, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 31}
-
id: 946686
{'charpoly_factorization': [[[-190, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 37}
-
id: 946687
{'charpoly_factorization': [[[-202, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 41}
-
id: 946688
{'charpoly_factorization': [[[148, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 43}
-
id: 946689
{'charpoly_factorization': [[[-124, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 47}
-
id: 946690
{'charpoly_factorization': [[[-206, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 53}
-
id: 946691
{'charpoly_factorization': [[[128, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 59}
-
id: 946692
{'charpoly_factorization': [[[-190, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 61}
-
id: 946693
{'charpoly_factorization': [[[204, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 67}
-
id: 946694
{'charpoly_factorization': [[[440, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 71}
-
id: 946695
{'charpoly_factorization': [[[-1210, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 73}
-
id: 946696
{'charpoly_factorization': [[[-816, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 79}
-
id: 946697
{'charpoly_factorization': [[[1412, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 83}
-
id: 946698
{'charpoly_factorization': [[[214, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 89}
-
id: 946699
{'charpoly_factorization': [[[-1202, 1], 1]], 'hecke_orbit_code': 40532396713443808, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '480.4.a.j', 'level': 480, 'portrait': 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hAME4/lvmDDmGGxYzhxTlHzfDZMwpZ1EeunhsxMhWyYCtmy3rJtg+LyrR511eToiTaPvujz9IGE54/HpKrLd9zW4T2vtdTVFAeOj3P0jOb0XMpsBu5DC5Ybrpjn335wma3TY5yZG+fcco2ljsdiR7K8mrLaN4QxHDu5yKmzK5c/s2/h9S8eW9yx9+TSl2976/uiB7708VcbEn+tr7/RDH5qvountfzQn/2FuOnyrb/5q3/4tatu2XP4ln/wjnN6eXWS3qBGpxew2PFZWNEsdQSLnZSlTsziSsrsChxeFKybXuHfff8iN17S4OS5Sc7MNTmzoDm3aJldSDg1nzLXTRifHPK6q3rcfBn4sk6gAs4t1Ti7oJldEvRDSBJDzTc0aykTYwkGOD6bsNqD7es9mvUQawUIn97AsG1DyOKKBuukyEoPwgQslqVOxOYZj+5AIZRFmJB2zWPbxiErfcHxM5rUaKbaklZNEHiQJIJ+KJldkpxdtJxbTgiCIXgJt+zp8dorBOvadRaX25w8F3BmAc4tJJxbSji9BIcXLa/Zs8DPf/8yG8bbnJidZHaxzvyyz0JHsrTirt/yaspSz9DpCxYHgnMrA37pJ+Lk7TdNP+xN/oBpjO1+eH5F/8s9Fw0RauLVhsorfv2NZfD77v8YV+95DT/1T/7PX3zwiZd+8+6777v96MmVXS+cGMjbrl5i9+aUNFVYK7FWZM8SkIBACIsWFl/CmcU6jx+SXLVricu2DmnUwNMS31P4vqZZlzQ8Sb/nsf9Yja8+7XN8LmQ1idl/MmT91BLvfN0yV13c5TWXdTi2kLDQFzSCIUfOWDqrTa68SLIyTNl7TNFqaF46Drs3WYZRyjD10TpmogX7TgYoneLJBO3BIJTceFmfQV9y1cUpq4OU42da7NygaDYiVkLLzHif5d4qH78Hnj2a8vzRIds3LXL1patMTEa845Yu3/0Gy64NLdJ4nKOnxzh8yuPkrOHUXMypuZTDc4ITKzHXXDLPv/v+LuvHxzk5O8m5xQbzK75j7k5KpxvT6aWs9C2dnuBcX3Guk3L1xYv8yDuWpIm9HSdPHtnZrs/dtG3bjroXTH/t43f+GZ/42Kdebchc8OtvJIP/h9++k4df3K3e+8anf+b0yYV//cX7j6vVTsgwURzrCHZtmeP//rE5rr2ozuzSBEudBksdt8UurWqWu7DcSVleTVjqJix04OSyQNeH3HrFEt/zhoidM01Wem3mlurML/ksdARLHScRlruG1YFhNbT0hwlT7Zht6w0gCDzLqTkPIQO2zyh2brJsmulzbjnkuYMtrt9tadSXefHQJK1mRBR5TE0YBkO4fNuQP7tnnEu3JoShZXpMEqcDWrWAl44NqXtNrr0k4fkjEecWfTZPBezcCNs2RCgVc2oBfM8ihGX7+oSJlqQ7COj1PVb7HkuriqUVWOwYljopC52U2Q4sDlO2be7xPbcvcOtlmprX5uxCm4Xlmtv5VgXLHcNKN2a5m7LSsyz2YLYrObdiuPGyWX7pR5fYuX6Ms/MTDEJXSTnXvzhtj7V/8e3fftPPH9u7P9255wOvNnTO+/obBfC9+/ZTr9Xqs2dPbfvK/S++/5EXT/3CmVOnmG56hDH0QsG5nuTEasr1F83xaz+2wNUX1ZlbnmBxpcHyao2lVY/lVc3yKnS6hpVuwnI3YWnVcq4jONOzIHq857YO77jRcNHGGlHUYLlTY6Xn0+kqlnuCbl8wDC1RYklTUNISeFAPLONty8xkjPaGHD4b8cKhAJM0edtNEdpb4am9Y+zYCF98POG2KwPmOgNqWpGkMZMTkMQe2ktYXGzwuutW+eIjLXZuhCcPhng0eOuNhkQMeOFwytFTNbT0WT+hmWgK6oHA9wVKQGIgii3DCLp9y0rP0O0bVvqGxZ5lkKZs39LnHTd3eM9rIzAtFlfGmFuqs5iTQQdWuimdXsJKBu6lPpxdVcyvprzmknP8yo/Nc/n2OnNLEyx3GvSGPsNQ0aytMjW9gdV4979RzWs+sW3rphNhOBzs2nXJqw2l4utvDMDPnDzIhvXr/L37D/3gy/sO/taDDz8jTp1dlWECJruRvRBWh27bPNONufHiOX7lRxa57uIaCyvjLK40WV4NWOn6LHc1K11Bp2vdlttN6PQMyz3LXFdwtmOYGO/zba/pcstlCdvXK9p1j9VujcCTgCJKJMYIjIX+EBCGidaQg6ctxkbc/WSTsF/n4s0+t17VJzYr3P/0ONfu9jg426Oz3Obmq/p87amA9ZOWvcct/+jdq+w9FrB+UvLVpxW3Xq5Y6q9y5OQk114Scf8LA5KwwS17fHZtHTJIenzlKQWp4PApTbuh0QL6A4mxgtRY4gSQBu0bOj1LsxWzdWPIay/v823XJ0w1a5xbGmNxpc7yqrs2y6uCTg863YROL6HTS+n0LUt9yWxXsNBNuOnSeX7hR+a5emeNheVxlrsNur2A3lATxZIkFQxCwUq/aTZuvcpu277rJ7btuOiPlpcWoiv3XPZqQwr4GwLwOBlIm3bfuXzqoxcfOzXxq/c98Ky30BGs9gy9QcowMgwi65I0IXQGgrm+4kwn4ZbL5/ilH5nn+l0+K6tjzC+36PRqrHR9VnqaTlfR6UO3Z1ntJ6z2UnoDQ6dvme8J5nsQpyFX7x6wYTKl17e8/eaQHRsMSSrR0hLFcN9zNU7M1dg4kfDi4RqYBpdtUVx3qSGo9XnqYJ/5hSZX7GjSHl/mkec9bthdY7G/wvJymw0bLI/vVfy9N/Z4Yq9my4zHQq/D8tIk113e55EXUybr41xxcY+5TofHXx6nrpu85lLLJduGIHs8d1QwMxlzbj7m/uc8hrFCSkiNZcfGiG+7OaLbU2yaMFy3G6Kokcm3gJWex2pf0elJVnuw2k9Z7aV0+84xWelblgaS06uCziDk1kvm+fkfXuY1u93i6HQbrPZ9un2P/lAziBSDUNDtSxZXEuaXIi654ob4bNf883/xD999aHKs8XmtaubVxtarnskcDkLCQfL99z/y3K/3lw5PrguGTI63SK1GCINUAj1MUcoUTQYCixQpUmqeOLCef/kHmnffusQH3rjEzs0Rs4ttAr9OPfBpBB7NuqZbl7QGHmNNTX+Y0hukrA8Ng9DSHQYszdc4ddISJYbTswlBYAGBryxaCvoDhcAj6Wuu2SHYtcmybXOfMO3ypScU+w5N8JbrA667fJmPfMniiwY7Nvd5/hHF5nHFdLtPTdWJYo+5LjRrmi3rBc/ui7jukjpvuHaBP75rgO+1ePNNFi/o8/XHI774WJOXj9a5aFODHRtT1k1E7JyOuXKHuyZaWcDSCALWjQdEsUe37/PiQY/eUNMfKHpDSW8AvaGl13efvTtI6Q0sqwPLygDm+4pzy5bGWIeffNs8f+fWkKsvanJ2oU2nV6PbD+j2PXpDRX/o/pv9gaA7sHQHlv7Q8ukvPOFdf23z188ce2qptuuW/6PXHfxxs1X/nxfgaboMDH548ey9v3Twxccmo3jI+C5Jzbc065YkdY6IFAIpUwdqIZDCoqRFyRRfSp4/uI5nDjQ5eGaOd7+2x2v3DBlvtVnqNGiu1mgPfHp9TTe72YOhph9qhqFlGBmi2BLHliR1jyjxsQakEnhaUPMF4y3BRAs2TBu2rO8zPdHhy0/BA894SDPGW673uOayLg+9HBMN29x6jaAzGDC32OSWSwzT433qOmCYKOZXY5QRXHOJptEKeXp/jddfN8bNV3d5er8CO8b1e3x+6DuW+NqzEV99osneEzW2rVNsmKwz0Wow1oJ6AJ62KAnGwt6jgjQVxIkgSiCMcZ8xTBmEhmFo6A8N/dDQG8BqCPM9yVwXQjPkTdcu8c7XdvjeNxuSpM3sQpPVXo3uwKc38Ohl168/lPSHgv7A0hukDIYpUQKeMoQrS3zsk1+dvPiq+D+89zvfoJe73T+YaLX+5wP4ameFOPJ+6Kv3PvhLx49+feayrX3ipM4gAq0sNd+Q1HPLz23FUoCSAiUNSlm0snjKUPcEC/06H7tnC19/ZpXbrlzhg29a4cqdPabGGyyuNOgOAvoDLwO2co9IEMaSOBEkidvqXe2WCyq1hpoPjbphshWzeaZPQo+Dp2M+fn+NIyebjAd1btijueWqVR4/0OHuR9vctLvGto19/uwegRIB7VbMSi/EWFAC1rX7rHZ9TFLnnbfN8bEvNth1rsY7buoTxYvc/8IUcVrjxj0zvOOGVXZv7fD1p/s8f7LBc0d9tkxKJtuCRiDwPbcIpQAhLMaCMZY4yRZrbAljt5CHEQwi6A4Fy6FgqQtCD7n20hU++G0r3LYnZapdZ3m1Qadbp9sP6A09egO3E/TDDNhDQT+0DIYp/TAljAyJsTQDOHnWZ++xFUL7lZnrLvZ+afflr7XLyyt/ODHx6nQS/X8O8HT+l3j64E3MnfjKDywsRb966tDBaY+UwFdImRLFEq0dwI0BrEQIgRQKKQVKpSglsu3Z4ClLoC11LVgeKhY7E3zyviaPvdjj1qtX+OCbV7h2V4eptE6SBPSHNXoDj0GoiWJFnEiSVJIagbEikz+WwDc0agmBH+F7IacXQ+56UnLolM/RUxMoE7Bro8/lOxXXX7aKCuZ54XCLzeMNrrgINqxbZmm1zZWbJYmxfPmJgLAvGW8mvPXGIZ+/P+bEbItLL/Y4uzLkpSMeW9dPcPXOeR56vssjLwnCyOeynZNctjXgsi1dDp9d4tBpeGJfg4NHmjS0INCSZmCpeSClC6qsdYs1SSFKIEoFvVCwOhSsxhCZBGOHvGb3Kh/8tlVuuzJl42TAcDjGYqeWBZI+/YEuJMkgFAyGkkHo+kYHYcowTBkOU4aRzQgCotjZqadODvn4p++b2bLt7K8KXU8+/anPfeTjD83y0V/7kb+9AP/ZX/sIcvrnuKgrvjcdnP6NuV53fMeGGp4SSGnxdYIQWe4po1IhQErpmFsptBJoZdAqxdMCXxt8zxJ4loafMl4TdEOP5dUJ7nygzT3PDVk/0ef9t3e4bOuQ4aDHFTstWzcowtgjTRWpcckigUVKg6dTjp+zHJ0VrAwMn3uowemFCWzkMVFTbJrSbN+guWgzXLFrFSMX+NDnmywtjXHTZZordnX4+nMCkXjMTEiajYR+7COtBCtR2qczFJxbEuyxDW6/vsvDT9fZNO1z0xWT/P3vWOCPvtjlif1NekOPxZUWOzfVuXRjnxsv6fJdr+9yZmmJzz0UsNgPOH7W4/RpP7uOEoHAWEtqIDaWNDFMTMVctadPGMZctjXkvbeHzIwpJlsBcVzj7HyN/sCnH7pdblAAWzpwh4JhiNsJcnBHhmFkCSO3S4QxxClYKzg9Lzi7sMDSY49Mt6bX/8Y1ezbGH/21pY8e3/t7bL/8x/72Afwf/8J/xd96hfixf/Uz75uuv/z733nTS43dm1u0622ixIEsTSUqMUhhEUIhRA5wUFJm4M6etcDTKb4W+J6h5lnqsaURWcZqKRN1QT+SdKMmR081+ZWPToJJEEnC9Vf12bkhIknAWIO1jnWkEC6o9Xz2n/DZe6hGs6Zp+ZLphmDdlGRmUrNpnWL7xpRLt6+QikX+y2faHD8xzk2XeFy2I2WQdHn0hYDxusfUmGW8FdGoOylkjKQzVCz1LIudlE6vzuuuWOHJvX32nVCMt2vcuGecH3nnIr/5WXj6UJPewLLS1ZxbarNhusHMxJDtU0P+2fv6tBsdnj8K+09KPM+ilEUIA1j3fxaSBHZsSLn1yoQ09oiTAGsbDCOP2QWfQeh2tGGkCvk2iATDUDCMHGuHkdPyYWQII8MwMu5nsWUYWYYxRLEgSp0/n1rBIJHMdQwX+3vHv/365d//lZPbk9aWbZ/snPp/7NiWn/zbA/A//OOPccuederj9z73nmMnT3/kDx45V3tyb4tf/pFVLt4cs9qrM4w84kQTRhqt8iDSIqVFKeU0t5YZsAW+pwg9SRgZgigljC312BDGhiiytBMIY0OYQJQIhrEkTAPitMa+Q02e2weptThoO23sSfCVq/loBXDFRmjXYawpmWgppsY1M5OwbUPIxnUrxHaJ//KZMQ4fGeO6ixQXbZHs2rLMvS8lnFsc4/qdkom2oeYPCGSAVYIklQhrSdKI5V6Nc4se111W55pLujz0dI31E4JGrcV1lxh+8j2L/MZnDS+dbrHSM6x0FfPLmunxJhPtOhPtMdqNmHXNmO3XRQRegqcTlEqRwu2AFreo4lgxN6+JE0WcKKJYEcbZcyQJY0kYSYaRJIyEC1Aj4dg5ctc1DNOKpreEsdP1wxjCWDBMBMMEBqmkG0N/kLBn2xI//8Oz3HH52cbqivzIidmm2Xvits88fN+n0tfe/t5vfYB//BOfplGvqSf2nntvvDr3x4tnTtZmpsb4yjM+3h9bfuGHVti9KaQW1ekPA7Ty8LTnbEGlUdLiKYunFJ62WQ2JcDfBE4S+Iood0OPYEiXuJsRJ5ZFCklrS1JAanN42FOAWApQELcHzINCCWiBoBJJmQzHWkEyMCWYmE7Zv6NNqrvCZhyPuf2GSlYU2V21TbN/osXvrkFSs8OUnGjQ9zboJRasx5IXD8PIRzZVbLf1QcfXumKt2WWbPpswv+wyGDd52Q5cHnx9w8LSiWZcEfpsrLzL8/A8sct9LAz5/3zSLq5btMynLHc14WzHW9Gg1PJp1Sy0wBL4h0ClaOakls9ZKa3EJKyNIjEvQJIkgTiRRIohjSRg75yWKBVFsiSII45QoNkQV4gjj6gOGsWAYwyAWdBNJL4FeZEjjkGu2LvEzP7jAm67RzC1OceLscq0Tr/5JvX7gf+tFY5/68hc/k77tHe/51gb4t920KFe79gN3n+r+zsLcydrMuCJMDZGpcddjG0hCyXffvsJ77+gwOVajN6gxDAOnsZWXaW2N52mCSDH0MrbxJJEviGLhbk6siBOIYukchKS0/ZLUkKbOXUht5pRkbokQIpNATvb4WhD4klogadYF7YZlvGVYPxmybqJLYlf45IOSP/riFDO1GldtE2zb6LFjk2H7xmU+86hlaanGZRsUE21oNWLOHZPMLQf4Ox3TrRuTjI/DwaOW5VXD7EKN3TtqvPH6Lnc9UGOqBYHvo+Q4V+4S/Og75vDkHH/50AQvn66xfjVmZjxhrKlo1RWNuqQeaAIfAg+0dg6TFM55KkCOW9ipgTQVJCkZ0CFOLVECcZw6UogNUf4cG6IYwiR3ZTILMhEMEkEvFnRjQS+2DMOEdrDK97xjgfe+oc/tV2kWVsacM9NrsP/4qZoI5O+fGRodpfrPcTzzrQnw//Dbf8GHv5D+wEzriV9r+bNtpVuAoaYN474gbNT58lPrefSlgNnlef7Re3pMtiOGQZ3VXg2tUzzt4XspfpQSeRo/VoSxJPJcKt0xjnBMlLFSkrhgJ02dk2CMC7iMsXkPZwZuB3ClBFoJPO0AUgugUTO06gnjrYR14wOmJ1Z4eF/En9xdZ//RcXaMeezaAFs2+GxZD5duW6WfrPL43jZ15bFuQjHegvFWyMRYgu9rhHCLaxD6LK3GWcVewtyyz7YNLW6+bI67n+iz/3SbRhDjKR8hxti1WfF9b17gNZfO8Sd3t3j8xXEWe5qZdsJ4I6FRk9RrisATBJ7E81ysohSZfehQbnE9rMZQAD1JTba7ZdZiYkhSB+4khiix5SN2rswwcaTSTwS9RLCawGCQYpIBU/UuP/Fdi/zTDwwIvBpLK236wxpRrBFCIKTg7kf3t2+5YfG//Mj7r/L/9fd98o/W73zftx7AVzp9lJQ//Af/9c5f+vPPz09NTcDsbEISW4QQNLRlwhOYdo3OQPJrn9DsPbzMO1/f4/Zru6yfDul26wzCAD/2CHyPMNIEsbP3It8BPI4lUeK23TjJPO2UzPojY26JsZTgdknKjLlBK5cw8T1nT9ZrCa1awkQ7ZOP0Kuc6fX7rcx5ffnKSpeUmF68TbJsRbJ7x2TIj2LlpiPZX+Nj9miMnm1yyXjLRkow1U6QMOT1vCbRECucwRLFm+8wqT5Cy2lcsr1rOLdW5ZEuN77q9w6e+7nPsXICnY4TwMLZJnEiu37nM9r+7ypef7vNnX57kqWNNNk8IppspzVpKzRcEnsD3JJ4WaEWWJBNFTYbFLTJjcU5L6gCfgzxJnaRzYIcodbUuUZ48SgSDhEKODCJD0o/YMr3KG65f5l2v7/O26w2KJksrDQbDgCjWWCuoBwl7dkY0Wz1mxgdTZ2Yv+9Urr/8u1et1/6DZ/B+TDPofAvCV1RWE5O8vn/naL9WSfTNNFbD/sEUJk1108JWl5Rkskg4+q+EEH7s34L7nu1x32Sp/902uCm5qPGAwDBiEPoHnESUeUayLQClJFHEqSRJJnAqSRJKmgtSIUmsbQaFKbObMCFDKuQ6eMvieIfBT6kFCqx4yPd5jEA/4+guWj987xuMvjjPhe1y52bJxUrJ+ymfTOsmW9REXbV7m+WMDPvfgOsaUZt2YoN0UtBsxnX7KFx+t0fItQjhgDULNO28N+cJjriam0zPMLWu2zLR492t7PL6vy96DPs0gQUnhQG4aDCOn9b/vjR0u2TjHx+5b5ZGXxzmxXGdDWzBWszR8t0P6HmglUJIiSeaI3EHdZFLNmHKHSzKgO4KAOBXEaQbs1AWR/UTQS3ExTxTRrPf5nrcs8YE3r3L9JSnrJz36/RYrvRph6DOMfOJEYSxobQgCy9XNBkdO1/jUFw7OPH/iwV/6vvfeZla7Kx9ut775yaBvKsDPnlthw8wZIPz+j/7lvf9x5fSnp4xNqQUTzLSddkszB8vXjk0EBiUEvlR0vSanVgPOPNbgsRd6fOqqLu9944C33jpkctwnCgPCxCOKneMSZ0BPUkWSZgmbtAS4sRlzm7KmTAibBZWujkNrg++lBH5MPYho1QekDPja05KP3jPOi0fHEHHAjgnLxnHL9Lhi3aTPhmnJpnUx2zascnK+y+9+vkkS1tmyRTDe0rSb0G7ECC9iddBkvOV2LmshTiSTgSIxCd3Yp9tPWV5VnJ6vs+eiFj/2nSv86p8HHJ9volWcLQxNktQYRpINUwHXX7zKVRf1eOn4aT5+b527nxrnTKdOM1C0fGh6Fl9bPAVaunS+EKPVdQawxi261AhSC0kqnH+eOssvSgWDVDBIYZBYkiTBxCFTtQFve9MK739Tl9uuTBira6K4ydJKjTDyiWKPMNZEkeeIKHW7bBgpwlgTxnB67hDJy8dn9u1d/Y9J8NbkzntO/dd3v66F8r95QP+mArzXH3BubtO77n/08d/8nT+5pz27aJluevgmpaadFBBZShkBIuu8kRJ8CYES9JRPP9HMhTX+8rEm97/Y58av9vip7+5y+bZVZsYV7YYmin2ixCNJSpCnOcCNxFiJtWTdPjm4QYo8zW/QOiHwEzwVsTqImV+N+c+fqXF0boKn945jjc9UXTAzbZkeE0y1FVPjHuunJBumEjav6zM1vsyXnzE89fI4V20RTLQkrYak3TA06xHCCwkCXXx2ayFNJYNQMxjGJEbQHRi6PcvSqsfsYptbLu1x854VPvbVGvUlhZaxA6TVJKlPFLsez+nxGq/Z1eM1F/d44g1nOD4v+ZO7x5lbaXBqMcBXkqYn8HMZJl3gWRB5LlVwTJ5YQWIgNoIwhWECkbGQJpDESBWyaWLAVdvd/bjh8pR2XZMkTTpdnzD2iWNdEFAUa8IkyxYnMst1CKQwbN8Y8wNbBjTrC3RnPz81s631m+9+3a3LcdT/3DcTk980gJ88fogt2zaoD/3hRy9++Ml97f5CnyYt0j6oms3A5TKWKs0kgrDOvZAWX1r8VFBXgoEW9HXAIPVYjOrc/dQYD788oBmE/G9v77BlKmHHpgG3XNFFC9ciJoSTKy4r6Wqlra0wNxYhLUo4z9ySgEx46ajkyX2aux5v8dKJFlHSoKUV6+qWyaZlomGdD97WTI5ppsYFGyYTNq0bsHHdMve/GPKhu2bYOK5Z14Z2U9FuClqNhHoQ8vABxTDSeE0HKmsFUSKpacW1lwx47IVxV/g0SFlZ9VhYCTi3MMGPveMcpxYWeezZdXgSEDEGSBIHoDCS9AaaiVaN8XaTmy/p84ar+vzdO+bZd9LwhcdrPL6vzoEjTRKhCUNFP1Yo4UofRgPPLCdgXU2JNQZPpIz5ETVibr6ux86NQ7ZMx3zwrSF1X9Kse0RRg07XsXWSqIxwVOZoKeJUEcey3F2NIxshwBhFK5hC2AmGPcPRfQ+3z55Zuvh1d3yP2rfvQHrZZd+cpolvCsCfee5lUjnmP/rYkz9Y982veXaFHes1UUKmeUVRJ2GswEhQJtPAqUUnECuBTi1BaqmlgobOWCT1GKQe/bRGt5vyHz82gU1i1q8bsmfbkKmxhPe+ccC2mYg4FpnellBhboqMqEFIwZ331Xn+cBOhNcfPNDh9rkGtrhgLBONNS7tmaNegVReMNRTtlmKipZkah+nxhPVTQzbPrJLaFe58sM2g12T3Fku7oWg1JK26oVVL8LyILz9WI+xLvBnXLZpLlGZd8bYbBzzwjKEXSnqDlNW+ZqWrmV1scPnOFu+9bZWnX2pwfKmFkgaIM73sEafOTRpGkt5Q0+n5tOoNmvWQy7cMuenSISfnOhw7u4L2Up47ovnUvQ2EUg7ca+cPWgMYsJY4Stm+PuH9bxww3U65dLtl/RSkiUcYtUgSj+VVjyRWxGm5g8Zx9pyUNT5JZgAkmQ9vjLsXcSzpDzXWwjCSLHZ6bL8o+bWXX3y8v+uii/7oxNGXom07r/ibAfDeyglsPHfJieOnfuuBh56QNV8yOaaJYuc/W2sdU5hq9A7aCBJpSRTo1OKlTgMGxlJLLUkqiIwlSgWhkYSpJDIesYH5Xpt7nzdYUv7icTeyAWuyR57FyywyIbLUv0QqRRJrpNF4WtIKYOc6S9MzNAJDI4BGIGjWJa26k0NjLclEG6bGEtZNhGxa1yVlmf/86RoPvTDDrimYaGTs3ZC06gmNekSzMaBebxAoiZKZBsfJgTj2GA4EgzClGyp6Q0N3YFzLXNPn1LkxXrcn5Cffd45f/5TmxEqAEAZrY0xqiROPKJYMQ1fG2hpomjWfRr1GI2hQC2Ja9Yjrd0f4XswNuxM++KY+WiVZEsgUUrEEudthjJEIIQk8BfgMQ83isnZ1O2ke82SPRBYxUJxI0gzYcaa50/zZ5B68Ix6LwGZW5TAS9AaSfS8/KVPDb52d6z+YxMMXvxnY/H8N8E/f+RmWO7p+8sSh98zNHhLrpzyixNVvx57MkiyZ95pVuRkjSJX7WZqORu9pHtGngsTY8nfG6UP3EERGklhJajSxCUizhVP9KrKUArQQLlOpoFa31LSlplICDwINNd9SDwR1X9KoSxo17QDeFIy3DJPthKnxkJnJHptmFvnQXYY/u3s9W8cV0y1Du6loNRTNBjTqKa16zNlFw+GzATXfld9CXuknGEaanRsMG6aHrA59BkObsbhkpatp1Wu0GuN88E1zHDk7y+9/bjNaaiyG1KQkxmalDSrrrpH0a5LGUFMPPOpBSqfrYgzfS/F0iuelaOkaJVx9vc2C7qxuxV2xDOSCjsmqLI0saoWMkSSmjHeSVFQCfFEEk+X3maOVBa/GZM/WJZviFKLIOTW9geT0Qy+I666J3nPNVbsO3/3lvxi85W1/59UF+LWXW39p+ey/ePbU3L/oDyLZbiqGkbOo4sRkAYbJtlabXTBbeNSpAp2/zpMPxnmy+ffuYcs0e1Yp53YDUQRKVc0NZJk8F1hpadCSrIYcPCXwtHW+sRbUAknNl9QDRb2maNUlrYZlrJky3kqYbIdMT/TZtn6Rxw+EfOy+TUzUAta3DO2GcOCuS5o1Q7OW0GqEPL4fntvX4OJ1NtO9Zdp8ECpuuNSye9uAJ14cL+qrewOdgdyjUatTr43zPa9f4rkDczy2dwNYhTGpK4dNLElsi3qSQahpDC31mqLmGwLfI/BTAm2ypJkrMS66o6QrDUZYBKWeK4NzV0JsckfK5PZrxYrNgWxyMGe/Syl+noO7eDaiILY4hjC2rhwgshgzlMeOn/mZzqDma7/xi0D0qgHc2kWZxoOf6z/5J/9HS5/0magxDA1KSpRy6XMdWxKdMbmxmDQHryVVjAA/NTYDuqhkH3HsnIHcZJm4PFlRyJ/i9qwFeJnQUTLLWCrwiqItl/0LfEUtUNQDQaMuaNUt7UbKWDNhvBUyNTZg07plHts/4Of+eD0nTo1z0bRhvAHtuqJZVzRr0Kyl1GsxvjekM7QoqfCURcrynaVGZFu6T7se008M/azOuj9M6fYlnbqi0Q2oBS12bIj5+R/s8LMfkTy6dz0WhbGGNDUkaUKUGKJYMYwUg0BSDxU1XxL4lsBXBNrgec7v18pmdT5ZIVvuaAk72qCbpfZtRiI209BpBvjUlM/unskKiEVxH6ugTtKSyJKsPijOwR27KsVBaDh8+oS/aWvtn/+Tf/T93tHT3X+zc3Prvzud/98N8IXFHguL5hcfffwv/vF6/Vxt8/oW88uKTk+7xIKUWQGTSxY4PZaDu5QtTrKcz+55OtnJGrDGui7yrAS0+mANwPMy26LUNu8EUs4u01krmqclge8GANUCN5KhHliaNUOrkdJuxIy1IibbAzatW+GxfX1+9o+m2X9iku2TzmFp1SXNhnTsXbc0aimNWkycRvzpV1tIpfCkRYnSJjQ238o9vu8ty3zlqYhuFNDPAN4bKLo9RSfQ1PyAwGtz6daEX/ihRf7tHwkeeXE9xkpS49LqceIKzcLIENZcuWsQCGqeIPBdZtPXtsjYamWQynnjMrNpC4CXKU8gIxFcLsG5LVkgnzNxNnXAFMm1KlNT/MxUgJ2mljjPmubFXJFrp1sdGOY7ktmDR2r7XvjEu/yg8W8/8fmneP87X/P/LcBV/DLWmpsn1T319RMLdLqaYaRJ09K9kFI4YCVZAiEVLiWcAzm1pVzJgG6KWomy/coBXbg6ihzU+YVf875ygOc1GHkmL2dvrfO6E4nnSVe/4QtqgZt50ghSmnUH7nYzYrw9YN14h8f39fm5D0/y0vFptkwIppoVaVLTNGuufqVeS6gHEZ4XcnpxAk+5Fjtny5VBZppKkkSxccKSJDGrcY1BaBmGhsEwpTuU1PuKmu/hezU8PcZlWxJ+4e/P86/+EB57eYbUuJ0xTi1xkmZMbggDQy2SDH1VSDDPA087iebqVCxakskUENnzBTDu5AqZSZAFhyaTWvnuWmjryuvikZY7cLUkIEkMceIYfBhZBpGlN4ClgWR2ccDvfeqly37w/d/3m1Im/+C/F6f/XQD/7Oe+yFMvqsZTL97p9wcDtkxKbr9qSM2vM/AMfiKLgC/3v7Vyq1cVEXWuwy8E7FyG2ALoNpcj+etXeG9SlEVUbicRBbiVLOvJnTyBmgeBb6jXLPXA6edGPabdiBhvDpie6PDUwSH/9g8meOH4OjaNK9Y1DWN1QasmadQUjbqgXnOLw6X6Ix7bK+gNfWqKbJE5DZ43IaRGECeaZk1xyxVdHn+pTT8u28H6A0U3UAS+wvf8TD+Pc/lWwy//yBw//XvwyN4ZYiOJjcmapcsezNCXBL5x7J3VpnjZ4nYPMplSyjiZZXkvBPI8KZS7H3kWNC2cl7KAq7rzmnTNLp2BO48h3KK0mQ63DBNBN4F33LzMlinPmz3xuSvf9x3f23jysbv7N9z8lv/xAD979gQbNmwd/+xnP/27z7+kXv/sgRku2trkdXv6GOsSOZ4ypDpj8oxNkzRnURdcmDyq1qJk6SprVwBtCmCXTcFk2ru4GcIVFAmZgTsrMlIFwEFlFYOeBt/DdQL5WYFVkFLP5EWrHjLWGjDRWuXZQyH/9g8meO7YDBvGNesahrE6NGuCZl3RqCsaBXun1IKEVmPI/c/5rHRqTEyUafIcMCbTpnGqmJlSvOmaHvc/aVwXTWQqIJfUPEnN03jaR+s6Uhou32r5pR+Z46d/z/LI/hlio4mzCkBX9uqYPIhlUV3oa4nWWRGWFCidXxuK95cvwlyqiLwqjTIhtPZhKs/GVJ5NSU5F7LUW5GlZs59kklUICHTC37k5YOdMjYUur39h74E/fP0d7/zxo0ePrezcueN/LMDT4WnOnZr7aZWe+MDu9V3WNWpMtD2On6kX27BU4BmDtbKw6ZTKNbjzv1NVvRi5dSSKAqAS3K/A3MUOIQqQ5/kLWanxVqqsGNQKV5+hLZ7nGotrvqHmp9RrCY1aTLMW0moMmRzr8PSBkH/xe9M8e2Q9M+MeM42UsYbNwJ2xd01SDxz714KERhCRmJBuFCCUxMsZvNDgIrvpWYFY7NH0h65cIKoxkYN8mNL3HYMHvnQ18To/gNZy5Q7Lr/74Of6v3zE8sm89sdGEqSBKc0YU1GJD4Fl8z/Wu6izu0MqVCDszwF0nJ1NEZQd0V7VYmNVYZw24CxKqEJOrvQeTuhLl1JQxV46DxJQ1+yYLI+ueZdeU4vm96zl2wmN2vsvY1OEP+M0XDsdx/K/+hzL4Iy+c4Hi8dbs6+RtXTdUPcNVuxUpXIaWiN/AJ/BRrXauZVWAxSCHdHBMjSKUD9mgQ6cBt82DSloFYyRSlrrfVPTNn7WpQmW+3WYeOyoIprbPOoKwIKa8erHlppptj6rWQiXafsWaXx/Ym/MsPTfPMkfWsG9Osq6eM1SytDNz1mrMTc3DXg5San9BuRuw9Zrnv6Sa+lHjKZEFc6VHk23ecKhKjuf36mIsv6nH4RJ11DVyPY9YD2R9mLKwVWntFK58Qliu2wy//6AL/6vcMD760jmFcd8mwxNLIargDDwdyne9epuhtlSotdjglRQXgogJyztMrJcjtKMAr4M5/dj6bVyzftAR7zt6ecrvrsTMpUhiWuimDY6dQjYev+tl/9v3brdl/XMhLv/kAP3LsLOunxnd87p5H/9ODjyy+67WXnOQ1u1vMLrbpDbyixgABClsMZpbCIGUWdCiX5DGpzaLxksXXgrrKDucxiOOWjMHXgFtYpMptQQcGrTLW1hZfGzzPEHiGwE+o+Qm1IKJRC5kc67Pc7fPAi/DLH93A84emmc7APV63tOqCZk0UXrlzXoxjb98BvB6ERGnKcFCjptwik6Ky9ZNr1izLl2in5XVIGFkGsagA3OD7Kb6n8TyJVgolvQLgCLh6p+CXf3yZ//jnCY/sm+JMp82wKRlPLa3EUssmDgSezbz/3EmxBXvnUiUHePF+szddxXmhELObUu6sdiRTXYC9Klmqdq+xI0FoPpPG4nzxYZzSGwpOrliuvPgsd1zrv2v13LOp3771n/Q75441xtZ/cwEe9o6yTP2mweK+9zz06Fn2HhpHv2uFSzcLhGgRRTJLumTKLYvMVaY3HVNnervQ3SLb2vKETfkhLwTutaowvwlu3EPO3jaTJ7YyHMiVxXraZGMm0gLcgZ+Be7LH/PKAX/rTBp97dB0LvQnWjUnW1TJw15zubmSBZT2QNAKbMbjT3rUgAiLuedZnOfaZChipx0aM7lBp6pof2oHmjdf1eWx/RDcOGMuSHsPI4IeuVt3XDuCuIdtDSJegwcJlWyW//lOrfOGxAb/44fWcWphgMK4Z9wWtxNBIIIjd6GVfuYFGXh5oSlEEwflzNVCvLkwhil6RksWLe1UBe8Xtyu9pWpgGVJwXSilTyW0Y6zqHFgeWKy7p8OPfkWBWz3L/Y0ffM71p+k/TpH/sm8rgcdxF6+buU0fv/99luJebLm2w/3SNh5+FLZP5pCmBzD+QEFnA6fS1kpWMWAHmrBGhYO6q5hajrF2VJZQ7hYAi3Zy7ACoHuLJo6YCtlQO3p1PX/uYl1PyYwI9p1Qdo3ef+51L+8Itt7npohsi0mWkLpmtOljgLMPfJVfYQGXNX2TtG65CHXx6nH2k2NvL3s5bB87hDEieKmqe4+fIBiXEAH8SCYe6GRG7kmqdzi1NlQHTZRwc2wfS44AN39GgFZ/jwFwc88PIUs3Gdfk3STixNbR3IdRaHKJvFJTYDeX4NRVk7LkFSsnj1RMHqLSnYnNGddxToZRBqK3Kl+rvq/z5NoV0zvPFKQSA28OyBgH2n9/LOd+7639/1ttc9s9rtHWy3mv/vAd5ZOsEffvQexsbam5bnDr9h7tSATTMB0xOGTeum6fYiAt8UKV8JWFmme8vAMU8KiKweShRgLpIJFYkCldR7SdtZhG/XSJM8K+cqBpWkmHyVM7enXC1G4MX4fkzNi2g0hvh+n4/erfmV/zrD4flJvKDGhpZgMkhpB24cWTPrsK8HLttZyxJCrn4lzXYCJ08WVlN6kY+vFL60RYBJ5aPkCzyv3YgSj7o3ZMP4gJV+i0EsitEMvmfwvDSz+VRmdyoH8JHA1VU+vuu2HjfsmeeX/2TIn315HUtJk37g0fQkbe1qcAINvqJohtB50ifb+WQhVcoEUJVURsXKhdicC4C9IlPWuC/WVP632X/T9cdKjhydoNepEcXg0yVI9r3h3IlwU6/bObj/0HEuvXj7/zuAG2P44Q+8dseBA/s/dNf+w/ieR7MOvucGUhojsdZkA2fKtV0kB2wJasfYokgWlCDP/NUC3JVS18qXwJZskmXfZBXg0qKkQY4wd5qBPMHXTpIEfkjgDTh2LuH3v9Dksw9OceTcBO2Gx2QNJoKUVmCz1HsObpmBWxZJoVqmvQPfLZx2M+QzD2sOHq9TyyZwFe1ilCgvxjhYp8PjRHPZdviOG7r84Zem6DU07dgN1QmiLG5QBq1lNraOCsi9Cq26XWHbtORf/r0+V+08xe/dNcmR2TGWkjp9T9NUrh+2pl0NvqcFXuYyFbtffl1z+xCnz8tMpz3fJ8932rx0ovDNz7cVCzlS/E4U4BaZPamV+/vzy5YwjtzO4wkefPQQtbHLP3TRxde8Pex2/0qp8g0Bbm0EeJw+/vSWzsL+XRsnVkB4SJniZfMDPZ0WBTzVREEObjIJkj/nad+8IcHa0X87GsTktG1HdGAObPecFQ1l4HauSc7eKZ5OXOeOTgiCEF+HdNOI3/qkz4e/sIHTi+MYVWdyTDHpW8Z8QyNj7kaRvpdZnUomTTLvvAC377KXYRxx8FRALwqYCDIXJ0865a5EnoW1lZqUWNNuanZuiVDBkG7UYuAL6rEbi+Zn8srLJIrOXY98+ldxv/LgVbFurM+PvavPe26f5cNfWOX375xiYdBkoGvUtKKhBXVlCRLr2FzmzSdleUOe5TyPyRmVKwW4L8TmjII7JzWqDJ/9mzIL7f7jcWLpDV0ThhtLB8fPLtCa2rvLitqWO267/thqL6HdfGUYf0OAx4MzaK+1bqyVftKLH/C2bNAkaYoxLqHjhl86GVAAPF/lVdlRBTWVFVvYf6IA9IUzlLZiB9oC2CPyRGZVcip1ANcpWqX4XkzNj/C9iM4w4uHnJR+9u82dD04xTFv4vs+ULxj3DU3f0ggsDb8Edy2QBIEkyKSJSwxlzkQGcN9zmc+jZy0PPNUgij2Cpj0vwMy/ijR3VooaxQrP07zphi4f+1qP/aeaDGpuNEPoWfwEvNjgRQal3JxGJyNkOdyHEjypkSRG0gg068cH/F/f0+fybSF/dneLJ/eOMT9oMlQ+nqepaUFdQpAPWMrtVWmzUdVUQD5as7K2OKvK6AVpXQDIa7+v3nMXV7n34Gp23E4ms8m5car46F3Peddcf+MnT5/rXLPc6c7/dzP4UndGnjr98k2njt81dtnMaVr1cXrDgDQ7k9KByxRll+WHtwVYS/lRFrpjR0FeQLjyYUcKf1yPjmPyIqVc/l2nuy1apdn02bSQI1rHdHoxD70o+OMvtbn76TGWOi1kvUarrhj3LG3f0PAsDd9S98lY2zF3PZDUfEXNF9R8sgo9k4HbEHhOfysdcuAUnO7UXGIl07ejiZOyfsb1QTqQJ0YSRZr1bcHurQNeOJHQjz3CbMa3H5FN98on6+aJGpBrOnPyxZPbkHHq6sPf/6YBb71xma8/0+UjX27z5N42i90GHenT8zW+EvhSEGT9sVq6U+qUKBepElnZ7wUY/Lz6Fbggk5sqLqo7ti0XTb6gVGpRokw2xalgJRLEpsuTT39hbPfmt910xe4rv8Q3GB70DQHeWz0bJLH6nTu/stT8vrcnXHtRB91rkCbKNfWSbyuZL7tmLVZZ2UkQMaK3i98VOF571arSpLKIClliMs1tUDJ1A/FzN0PGzHcT7n9K88WHWnzugTHmVpuIWg2v5dHWMOa5Tp66RyY7oO6L7CGzktNMd/uCIGfvHOA6wfcTan6EtTH3PB1w/Gyd6UmBJ02mY0XZ6FthOztSbqoYhB7b1wvedF2fzz4a0Ys9BrGg5ln8xLF4GNvKLqUKvxohR2RKfqxi0ahgnN9eD0Lef8eAb7thkb94sMsXHmpw//Mt5joNBsJn4Gu0p9BC4EmBJyWesJnUsihERRqO2odrPl75ORkF+YUAfj5ycqCXNfSJFQxTwcog5fpdPS6ePNYUVv7OieNnLgcG/80AX+hYkmT4vWfPPjH+9982x56dhsAbMtZwnSQma+xdqylsFk6N6moxAvSSxfOFULFJiv9KuaJFBdhCmMwONIgM4Fqn+DqmVosZhin7T8OxM4qPf3WMLz3ZZm65CV4N3fZoKEnLs7S0oe5Z6h7UPAfumudmEroyU1l5iOz3NgO5KUDue6497fAZwwtHA/C8bJu3lRS9GEFBdatOiypLN875yp0he7b02He6waAmaCSCILaEiszaMxl7525KbkGWWqXw2TMr0hiVTR/wGEYe9XrID7wt5J23rPCVp3p84msNjp2pse90g2glIAk0Q62RSrp0PqCz55zJC+mSU9mFirTWMHhRX07pnBl7PsBHIZVZitaSJCkmiXn5WIP/+GeWf6SeZ3K88Y04+pUB3u91RBxHP/mFB14en2n00X7K9ZeEeH6IlJo40oSxwpgcvFWJIQrtnf+u9LbL5/wirL00uRtTar7MgszO6JHCMXYQuEmqSZoyuwhfvVdz+FSd+x6vc3q5zuEzTQgCVENT04qmtjS1cS6C5wbn1zw3rs2BOH/I7KEygJNp7gzcXkrgOfZ2Cyvi6DzsPdbAk6P2YCFRKOvBS3ssT4BlfY2Jx57tA3bP9HnxSEI/8WjFglCDn7i5MqoCcCkFQsoRJofShivrfPL686wpOPUIPZ92PeL73hJy21WrnF5e5Z4nfI6cDPjK0w3OLNZIBx5GamJfIaR0O0XWlS9zhoVCtlR1eZXFc/1QOCdUrWAH7/Lf2/I7m4m5yECUInSMkhFXbIu59mJBYJ+Zvv3Wf/C/d1dO/2prfPMFw7dXBPjxvV8iSVPClXP8xlfGaUjFFTt73H79kD07EjaMx+zaYdDGjU8zdnRcQ8nUlUCyeK6y2ShzQzViL1m7kCIqxQtS4tRy5KTghSOKrz7e4MWjPi8frbMaBoRRAJ6PansEStBQ0NCGesUHDnRep5GXzbq68CCTJb6v8H2ZLQBbam8vdZlFz+n8mh9jTcS5JUloA7SW+NKiKzbbGgIvQJ7a0X7HKPEQaNZNRkg1pBd79LVwTkdcFoxpZUYykDI3qQHyYUcIrJElk1cGI3mpKsZP9EOfDRMR29bHXH9RyCAa8L8d7fDiMZ+vPlbjhaM1jpyoEScKAoWVCoQklZVsUEHf4nwgVTfngtZzAOfQzxvFK8Y4BmKLJmHXjpBNExGX7wi5/fqQK3cYrGnz5Uf6zc/e9eQHhFS/+t/E4L/24a+w79ySunn7I+LibWdY/nqbgwuTvHC0xd1PDhnTEds2R1x5Schbbwi5/doIa12WrN4k09ICjCSJ14CdImQ870LkOl5IVzeCMAhpiSN3ipcQcOyU5M/vDujHimdfrnHoZMBCzydMfdA+KA/VVvhSUFfQUJaawo0zU1nhkXKs7XvCJT2q4PYkfiZLAh8Cn8w1cSlzTxt8L8kyojH1WsTccspXH2nR6QZMjAl0HnjLEuTnfdzsPhYBoZGEoWJ6SvHWW4Z85ckBJzpNBp50MkWDl1i8OPesM49dps4upDrrRJaMaXXlbzig+6ki1YrEy8Y+xJ6zUr2Yph9z25UJN18e8u43DDlwUvLcXo9BpPizrzY4OuuBkPQHmjRSefkmVucAX2MZUQV4xSPNnkUCwhjH2tZQb6R4vpuO8KZbh7zlNUOuuCRm+2ZDS0kmWxKsx+mFkJdPLfDggefFz/z4Zapz9s5kbON3//UALoCl/sRv/dh/UlcfPzNOZ9DAayhSW2N+2GA+jTm6EvHISzGfuidiejzGGsN1l4S8/81D0sRViq0bN1x7ZUSzloHenvfRR/5qPpyn0xc897xmcVVSr0ke3+vx+QdrDGPFMFacnfUxQhNbDyM80BoRaLSU+EpQk5ZaBuxAWQJlXQ24zjxfXTK3n/dlFuBWWY+mKNjb9wy+nxdopQV7+36MUhH3PqP47KMtlK+d3Taiv1+ZwXMvPE1zx0MxHHq889YBn3t4lT+7Z4xeUqOZ6XAv1+FxnpSxRbeQELIAmPtTcsS5qDYMJ6kk0Y7JPa1ItEYnqQO6SlHKDdKfqCXcemnCLZfGWBHy3jv67iSHVPCXDwY8sdenHggWVhXPveiz2peZSroAyEco3ZXWNmuWa6+JmB5PXeNLanjfm4dce3GCNTA9DlNjAqwitQFJoul03fiKRpDyTz+wQmKPX71r+2t+y1oueC7KeQBf7fZoNRvt//Lhv7g0XFVKRk02NiSJEYRGMNCKyHgkaUCYxsyuJsyuJGATDpxM+fy9bnuxqWFswnDT1RGtmuuqv2B6srqsMtdhpad48gWf1Y5CaulmoljtmElo3FxgDVIjpcSTwoFZWgJp8KUDgq/ckM98Rp8DuSgbHrRrBMgbj6vgdgyfldV6OYOnlUdCoGOsjTi94BOFNYIxiZ+lvVWWsBjJYq7JD+RlDEV3ulFEscdES7F1OsIXQwZJwCAR1LXIjuqzRTeOysoSyvJWWfwt9zdklvwxZfbUmKxnspRGSZJmeQOVnX+UECcpKna5BK1SpEzYMm2yHcNw+bYhkR0gtaHTETz5gmal7/pw13i8F2gId0VXzZrh5qtjxsYtNnE7fU0KlHCBcWo0YahJUu2C5FSTJIok1RgjM/A21OJSeun2Pe9r97qrq81W+xsD/OzsPFrrX106c/yO9bUezWnBIDYMY0GYzYYepIK+0oSpJjUGaxMwKYlN6RgDpKAsqyuGs/dWtqSRj7tm/6psb1YITH7kAlnNqVBlkCNlZmXloM7SzpLs4NbcN64866yTXpEdvUcBbtfWpfAzcPuaosTUMXjG4trgZ9lRz4sJgpiTC4Y/+UoTtI8nRRlgFvJEnMfgVXchHxLqwOYG60SxxwffOuAv7h/w8rkWvdSjkbhDaV0VoC07cVSeE6gGe3npYi6F5Eg9kHuYohZGa4WXunkpXgZ0Jcukmasbz14Lk+U+UrSwCJsy3TB8++sMiDSTmYDIz8+4wP22+bPAph5p7KaRWeOGB4U2P7NJkxYOUBY3ZI8w0gxDzUpXUV+evWNs5vSvGpP8w7+Swe+79+tIKfy5ubOMNaVjuqFjw2HszrHxEotvBEMpGaaS0PpZIU1lspQ1oCypLuLmcn8eYe0qwMttNg9ehMyPERTuHB3h0sqBcNWCnnTfa0lWU5F1j+eFRJrKHBSyk9nKrvoS4LKQLYFvi5Y23zeVwTkJXsbevo6RMuL4rGB+tYbQmkAyIk+K9HzFQqv6wmsL0dLM6YgSj6l2yPYNA/bNhgxSzTCFIBV4qcVLMh2eUDhL5WVUI50KeVznbN18YkFlGE9q0KkhVRKl8+PLVVasliKVyXYKU1qzGchFcfK0WWPl2gLouQPm7v3o+7JVQyLfbQr/XmUL3km3uJjJqAgj7U6DG2hW+4JueI6HH/yqf/5iugDAt04cQ0jB0uYUk3h0umlmy9mRtK1KQQuDL4UbrSYFsVWkVlWGzec9lBcCd/5ZhdtW8628sKByzzUDtXDOhJa2qPHIXxc/y8i+LAWlaLD1lXBgHwG3dM9+DvQ8+MzAnXf/aFNIFE87fer7MQkxX3i4zrn5Ot6Ywq/WcFQdFNYo0pHiI7EmCFQMQzfB9h2v7fHw80NWkxp9raknhihLpxf3o1hMjsnLzqE80BSFLemsw2ymioVUub+pjSBRAp3K7BQ7V8uTZEAvk2mmSLBJaSqJNzOShKtmtIvii7wQr5q5XgNykwHdefcyGxMns8GemjBywe4gO5y2O1AsdgQnz0WsRscuqPpHAP7Ve7+G5zVed+LA124YDGMCX9Go59VhxrUgWZvZfM7V0CZjVCOIrRurllpIKTVmNVtVfROycvOFcE1AIkskaHBWm8iaF0Q+36TUuCoHtnTnyeejEKrALuagKFw/4oUAngecue7WuSyxmd4erSX3vRjfi5jtGJ4+VAftozN5otcQQbXUtMR3Vv+eM3nRuicLTzyOPa67OGRqfEBnuUE/UTQUeIn7LCp1g0tVXAU4DuTFH5JrKjVFVovtplQZZUiNwDOCVElSZUiVIMlAXi1ey8shytKMDNSVCVkCx+ojVZ+iIk1F0aNRXJAS4BTJQ2PKLKzT3JIoO9kjjNwZnr2BojeQhBFolbBrm77hXW+/9XU//L1feOjW1337hQF+9PQAz0u+/eHn7LVRN2J6vE6jpoojLvIgJy9OF6ktsltaWHwrSKUtZ05XAF7h8ZLRhIv18/qDvDQzv2EqB8qaEk4tR4Gfl3q65uK8U8XJElV0r5TAzptvHXtnmltT6O3cEnSMXYLbK6oTYwQxdz0Y8PCLLWSg8aVw87eLCsKyja6s+FubzRRFF5QpZgAqUuNY6pYrBnzHbV1+/64WURrQSyW11BImZDtXterPZHLOrFlQr8TkYLSszIp04E6VRCnjGF3KbLSEqZQiV2qPZKWac4S9yyQdBZOf/1UttLP59Kx88WWlxIlxAz7zibVxMVFX0B24gVKbpmOuvzK+dqLZ+fZWkDx0QQafnT1Du9V8611fvufv+awyNRXQarhj5qyFwTAdHYNWmCIWaQSJqByLUTCGHQG3YJTF89rfKtMVvZWMlmvmXSY5c7sjSPLvyRicog1rhMWzbhhPjYLbjVNYw9xZz6aftbd5Om84SCqPmIiYT9zTJrUBqsheVgPMsq8xdzZGNDhr2vWMdKM00jzY1Ag83v/GPn/6hZAVEzNIawxSgZdQsLiUFpmUhW/OLlxbeyQr1qSogFyQ6qw/UmUg167NUKeSVFlU6ioYnUyVRWlyIVVGqjuz4UFiTRYaeKVcwIhcMdUF74BenS2eAz9JJb2BYKmTZhO9BC/t76Mb/L2rX/PW+86ePfOVjRs3jQLcVxE21RfvmOntGl66ivYChAhJUslRCafOuaPmXNWXq/KyGehSYbN2tewCZjbBSCq+ms0SVQYvgT7aPDz6eq3mzF2E6mwPpUSpxbOKu5FhNxmwtRKlk1LYga7j3jUm24y5ywBTV9g78CKePiQ5eKaGVR5KSnxp0GvrNCoCfK2Lkj9MMTRHVPxqB/I48di1KWbPRT0ePVAnVj6DRFCT4KUWnQhXBCWyLpwk0+FIJxdG/mRVCoiKNMobgXN3xdW7pNnsdpVJvxLceS2QdceGFwxOsXvkx8TkAWY5a2WNSM1KCMuAkxE9nu9qJtPtQriZO4GfMrdkOHYmIUldU/tzBwaYem/XrsvDi3u96CvnMfj84jmkbpDaM+zecYaJVh0pLPMdy50P1jkx36BWaR7JD08Vdm2Nha1swVzwa20ja7GVM7qtq6Lmu7Td8vJNJdz8lZzB806XnMnzcy9Hj//OmLsy/Md121MAu8hWFsyd4muX2HFdQTGWmE/d02BxsY4ItPPdq4twbQ1K8cEZsQjzzpZqHXfhTRtFHGumJyXve1OXpw+1CdMafeVTT50Wz8tZlSQDd75XmMwTzwtzM6myRo+bbN5jdSqVe0iUKU+bzl/LDNQq1+AyP+8olyeyqNEfBflaPf4NpIrJx9tVAk/jrEWlLHWVMDmWHbj7/ATLK24WptIDbhwu0+/N0e2XxYUFwH/6l7+ApxX7Ti6wbYPHLXt6KGl5Yn/A15+rsantkhZalXUieVpB5gAf2XYq7H0hcFdlSQF0O8LaBYuPjBcrGVtWGVyJCovnckWi9CjA/eysoBzcLuGTsXaRijfZ63TkoZXr3Hn5OHzy7hah9FFSZdnL0YW4NoO5doeu1kGP6nBRcRA0Qap531uG/PGX+jx/pE6sPPpS4qcmc48EMrWV62Rde9lI+bLJ/tbouUVVJk+NMwxMzuJpPlbCOClU9G3mc1lEsaCTqg6X1TqitQ0S9sJSBYrFN9IoU2F0i/tsWhnqtZg7rh2S2JM8cSBAK7hhd8iNlz9B9/QsUiSjAB90z1Jrbmj8m1/47Z2nzizw7MszPPw8WauQZLrhipOqzJtrrSKIrHbjXGihVm90dWVXZcorShRRAGftOGRZYew8yMynNmmdH/KaaW+1Btx5+t7LG5ONmxlStIjlPZ1J9ohRXsTB05pu5IPSmTyxa8pj1y7c83fmkZs3koRx3Thl4kfT9ASXbh7y/MGI1AQMjE8tdTXbOtPgSrgRaC6xlKtaA0XdjyluROk5u3SFLgabup8pA6l0gFfZ6RTSlBMC8ulaad7dXxgAlQBTWmcgiDX3u8BD1UtZ66wwstsUP8f9LIoVy6vj3HH1kLdcn2CMpDcYZ6XTQNbW79xx8080Dhz+qf4luzY6gB86epZ2a+Utu3eu++nHnniB3TPlQHNjq9p3FOSjq8+O/nDNSq2ydpXJhTw/wCwOrMqlSoUV1chQzRzklDXSqgJqNXqKsafIvHAHbgfgciiQV5UnVfZWWV+nH7HUNfw/n26xOKghAs/JE2lHdpVycM43qr2p7Hqm0oRdMLgssnjthuYnvqvL159usxj6RFIzkBI/66EsRz5k9yir6yHTxXkZrcVk4Hbnk446KyJjcFsE6TnYlRQZgztJlBbuSQbqNb2bssrexXWoSJU1ALd/xfWpYii2ktS4IwqXV+vYLOiMU0kcW6Y2r/vphSN7H0qTwV8UDH7fIy8TBD4HD55grGGo1/xs8qezBpOkPFHhgiwtLlBvcIGt+YLypAKEKjCqh5dWpUneIVMAWwqkKsePqQqotZToTJLoAuC55jZFUOlpU4Db03n9xSh7eyrG9yM+fo/HS4frID2klAR5aawoT5MozojPPuQrVhNSjV3KWTE5yBMjs/oLjyt39XnXbav88ZdqGB0wkD6BFEXSR0lBnLsYnM/kosrkdjSTWEgVBcq6XcFYkR0Ulu2WBtJifoooAT4SZLo+TiFHAe526AqDZ4vwghipAGsU+KV8yYcmxYkkiiVh7I5NsSZC108R+JIkcUcvaoCZiRq+7zOYqRGt1tCeVwyc6Q1S+qEbQpMPSTQVhh6x/tYy1nmMLcrXa/r7RjzjIrAUJZsXDPlXAVyWAC8SPTnArZuTnUkRT5VuiVcZDlRqbsfennZTq5Y7hr+8t8VCJ4Ba5p6ISjD2ChKFvEZkzZ27oG1XSXSYNHdTNBNtxXfe0edzDw9Z7AVESjNIZWZPisy9EWUztqxu7A7Y1pZdP6Zg89L90rmzorLXMvteuqNm8uteBbmQouyNzXfdXIfLPMdhqY6BK9L4+WIcAXtWclrMAsxBXxJAkuReuKLbl/RDiCJ31o/XDGhONAhDd/KJHnb2EtQndsyeeOInW/YELSWzU680nZ5lYVmQmoQksWTNO+cNSi9BLCpvfJS1qyUnOdhzfSYr37sLdL5EESPAHp39Xe1wccPdGQV3frJBztyqwtznMXg+bqIcOaGVy1wePSY4cLyGIUBIXTTnltWD1fhBVFyN8gJUa1FKJhcVeSIKJ6NoN0s1WM1l2yN2bRyyuK+OTX3H4qmTKbri4pTBXbXQK28kkGVlkM3Y3JY+uZGisA6rsY0ybtEYSaa9s4SWLMmo0OEmL30WxfvIdzRR7C5VNq+SYR4gV+ewuNd58jAxgmEkWV6VzC8bOr2U/tDQ66e8ePI0b3vrJT/5ljfe8uxDTx08ps8sGRphsuGlk9FbD5/ez02XtllabbLS9VnpuWL5c0u2GLMlRGlnjt7A0bR0FfzVn40Ek3mJbPEzsUaeiFL/S1EJNktAOwanOBeo9MGrj+xIa1UFdwXk2Xn1XlYamrO3yr7XOkapmC882uLgQh38Up54FevyfMm1Zv+9gEwppz9VajKqp5vlZbSR5qLpiHfc0ueJlxtgPJLUaXEvzbK76ahUKnfJapotA3lWclGdMGazM0ytdTkOk7O4dMCX0ulvVbwGacoDfkd34EyqUJl1KCuLrogRRAUnuQMjKouhsgiyf+eOYLcsdlKOnI5Z7RuWe7A0sOzefoiLtrzmrYEabphsR8f00oqr1jtwLOD3PttAv3+Ft1zXYRA2SFLDwdMBpxdbBF6ZOh8BYzWYWvua6vei0GOFe5L9w6rWrg7JyQEtLgDsgs2VqDThVsCdzScsj+3gfGDrckBQMeJNmwzkiZMnKqbeiHh0v+Iv7m0yGPrQ0Ggp8MSoNFkbYI4s+gsBnDX6e41lWPXF40Qz1tK8+/YhX3q4z+P7fWzTY5AG+IJioani71fT5VUh6UBeTZ674DNbYMqxeSqdHjfSafPUlM6VkXmWWVTMB1Fh8my8hxGjgWZaue/Zwnsl8lsrXfOEkVLO9Rpvhbx0MuTRQzWiVNOLE9564xI//LYhl21VNH1BICR6vGFoBSlbpyFN2vzCnwjajTNsme7wiftafOK+NmNSMNVwzoNQFdvuFd5QvgrP16LVf1ddIOL81T+y7YnzX2fSROZpelkJiFS1bNat9nyEss4OYdJqFOhewdbuoZQLMH0/Io5SvvRIg5dPNMDzEFJloMoXfcVFeIUqwhFHpcraWcWlrWQyTaVs1FTswijSXL4t4W2v7fHcsTph4pNKj4FR+Clr3ku+1bOGwd2zXfNeUPliMxglULkPnc2ZlLLMehY7qgRlK+AWILPvhSkX/SuB11WO2uKawZoBQ9l/F1mWbijpsssTrSEffOsC9YblE/c1uW7dgJ/5viGz59Zz9JTHJpEQhSn63q9/BU8rFjsdrrw04Z5nLD/1n9eha5LFxTGatQDZNGUFIWUZqzgP5KK8ySO6W4wugmxq6ciHrgA+B3DJ4uUJBKU0qViFBWPnAC8npxYSJWNux9i2YGpdPJevvSy41Com8CNePC74ysMN+gMfmh5S5JWDVOzBC2QxKzKuGq3Y4kraTAPbUTelmvCpFGBFsUerFfG2W0M+d/+Q544EoH2GRuJnWlwZV8pcjrdzzEke6KVVsJfAttbtfIV0kY7N810lD/KNBGkzaSLBCFEMY5ISpK2QFaOTdQu8UII4RSDN6K5ejcWssO5aSbd4yP47BkHDq/EPv3OF976+R6OWkBrN3hMpvQNPUHv+IMYk6KXls4SRYuv6Hj/17jkGoeDO+zbiN33G6zAZGAJV9T2rupgKW5wP1vPZXZQBatUSzH9XlShVzV2A3OntajZTZUMa84pC186VvdbV+eBrwJ09vHwKbVbgr1XiHjrG82ISm3LXQ3UeeLEONQ3SNTR7oizhHSmNrT6q37yCBh8ZgJNP3jWlo5IaOQL0cOjxhiv7vON1fV46XiNJPKxQDITGSynek0hLFhcjS+t8Ji//vkWpnLkdm7vvBdKIQocXfn/msDiwO6CWo6wZYXIhsuDzAgxtKhgxFbkq8/LxzFgxIlv4qSCOFav9GsbCVCtkst3n0w9afvfzHjfuXuWyrQP6oUUPTReU4uxKj3u/4HHPC+O02z4TAbQ8Q9134xU8zYjOLSy6kQCrIjugmEg6CvbKh8yZWZRsLSpgL4Atq99X0/SVh1oDblV56PIQ1BzQXgXUuXPiHBP3rFSM78U8e0zyyXtagA/SQwhVdBGp7CBVuYZ98s9T8QXWAIwyJV3V4aaiwa27kUZlox+Kc+I11mre/8YBX31kyJOH3SSB2Cj6qcgKvrJFl2aszWiQRuW9WGsdi1eAnv9WZaA3MjvPJw+KTSWzbHNpUombTBlUVq/JKzk8TsbYyr9xu4gR7t7m79UtGIFMJGGsEMLPEj2aJFXcuqfPD33nEnNLGuUH1LVFf+0JD19L5lYaHDjtUQs8ppuWRjYYJyiyfmWqu7CPcrkhX0FPV7RW/uHh/F7FEWBnDzGyW4iRQqsRkGetaeVhU+5kh3IAfgnuEdauPOeNtblUUSrB8xLiNOG+x+u8cKgOngfSBZe+sJXJsRUGl2KNZOM8eVJKlPJF0QBRqREZqS5MJUZljkrqOluu2DXkDTc5Fh+kjsVD4TM0oNPcD8/qVHLrTVCRKO4NVGuHqtalkmCVRVqRlUY7mSqscFaxFaVUKXCwRmKYUVCPEGE1iDSWtaaFWzjlNXGLT2ZvNCs9rgTgUaxp1Hze//qQha6hP3R+vX7dVZJ6TXDohKK/mlIP0gzIedPuaHdMeXLZqFTJfd9RcFe3pNILPc8nzkAssoWi8v/WiAyiOHunOL04b74daXgojy5Rag24K0PxC/dEpShdAXgmUXwdc/Cs4CNfahHGHjS8TJ5QtKap6inBohJI5+z9jSSKHQV6VaZUT74w9kJaXNMMJN//tj53PdBk/2m3+FKj6KfKVRmmWfIH4fR3mrkWa3aSvPazCnBpSy0uM40ujcVm98hK4QBuKrFSFewju3qF+Exl8YvqdRNrdkGBNFkyyVoXgKv8tAiZdZaRHYcuCGPFMNL0BgGBV+fZY2OcXGgQeCn6jXf83fXP7933r08+8TBTLTejT2V6t9pQIFVF91YSLSMavMLM1eTNqC5fy9xi9EPKSkQuGQV5JaAr34stAZ4DW+bB5Si489l+pd7OXktTau8suIxswmfuafLswbpr9xEaJVzmUmc12NXm4uoNonITv+HXiAYvrcK8+dYa44A9AnKJMZpo6HHd7gHf9cYev/FRn4HRYDSxkAyMixEKmy4t7wdrnJXcQSn6Ja3N2NvtKsqCzbxva12gZyvgljYjIzu6i+WS5bzA8RVitXIcdoUQs0WTZg02RuatfcZ1+khLlMisIdqRTeAlzLRDrrni5n+9fuMVP6rT4anxtjd4+3hgGfPlSJlrDlq1RiaI4vUacGbSQnwDcMtvAPa1W10V5NVmXrUW6BVJoiraWxUnPVQOolJ2jSTJKwXTAtyejjlwRvKxrzdw81ccexed+/nfFxXZJCpVkWsCTVH9ppAlo7o3L7YqUveVEzFsDmwrMakiVZkWTzXf86Y+n72vwd5THsgIKyTD1EMjivS5c1Kym5rmiZ+cuSvSybrvbTYbK198svJcPHLWtu5vWCOKgNPm7spfCfDKIhjR5BnYjcNI7t6kUqCMRUqFTGzFvZJl0I5Pf5DQM+HbT86fGNen5ges9CImWhIhFHFSHtpJ5QZVT9/KHY1CWozIjlKe8NcAdTXQqF6IkRrwzIaqniNTavDyqMCcxdUacOcnUOhs9HA+sF/lfrdKUDJBZQyeqoTPP9Rk78FSe0shnfdddNCcz1D5Z19rnY4q8NEiorUNyCOeeGUilTbC1abIMoUfxZrLLw555+t6HP5YQJQqEJpUaAZCoNPMvisC3dxREZV3YYv3mLcgWitQtmT0HPSquuMIW6b4BRjp9LrJgSnLa5OD/UIAz39WdVKq2l1KmyWZ3M+SNaUBudfvJhJAnAiGoWXdpi7jDYUOtKbuaybaGqk8BsOUMDakaXkbSiYS54H9QsAt6koyT3CtbZhPJR0BySsCvGTt/PuctXOwa2nPY/GSyUvdrfIgUlakiSyH5iuV4nkxR84qfvszbYbSI5+gVXbNZztItQa6KklyXfJXyJPiPKIiTW6LFrYyZV/V4GKkPiU1miT1CNKEf/ieHp++r8HhMxpUnEkVj4EQqFye5A0qebC5BuS5N28BnS+47GcyB7csGVxlNmLhe+esLqwDdMbsZgTEF7aP1+ZOqlJPZtZiuiZjWkrAfDoYhJGgP7REkWUYBkRxHX35jpTuVEpLJMwte5xdUFmq1qwB+BpGpmoDXkCOjBRTiQuu2gttYVXmFhXWzhMpo+A2pUSRowyuR/ztXGfnTJ6OPqRjcU9HrEaG3/9cm9NzASidWYMykyd2xPcuXnM+M41cl28swyvsnTceVHs08xS+LB5FM4RUpIlm87qQH3lXl1/+iE8nds6AtZLQKGcbpvk9s5AKStuwBHn5/91vVLYKrc0bzB2ru8xmpsOzhhcjSs8679PNv6962xeyUoVw1THCXOAa5juiJEvzizULIHvX2XUaRjC3lHDqXIg3lrKhb9HTE10CvcSRY+c4Ob8Bk3gZoGRJREWAUmFo+Qo6u7oYuDCgR7VXyeTVov2qNCkajVVZZK9EFdAVJtcmY/ES0E6OjAJeZUMm82etYnQQc+ddAR/6VJvQeE6eCFXIk6KpeGQRrtHdxeKuwvrCELclgVaswiro85S9xRhTNuGacvpTYjQ1nfBj7+1x4LjPhz/vtDgoUiEZGte7KdP8fVULsPIdpzL9wI5ac8qWksVa52ooQSUZ5O6H861tFnTmdSp29G/m7P5XkcFajKQX+vfuH+ZhjcANbdq+ccCZ5RXmuhGinqK/9oxm9pzHV+/zEcaye4uhFmQnB+Rgre684gJvpvIGq7q9+mYuqFHlWoCvaTKuAH3kiLsqWxeSxZTypGDrCpPLsjpw9DnJfO+YpWX49NcbLIc5uB3APVlO1qrKk5H3msciFTwXsK7gu6q1C6mS/WKkqs+IIqlS7fQp6sSlRBmFMW445Zif8p439/nsQw0WuwpkDEYR4/R4Thw5uMXIW3tlJnd5oDIplNenSOvA7MBdMndecZqDf0SKwgjYc+IccZ4uQJAFoF/hdf436gFctkOxe7ulNhHRaMXoQa9BNBhjfWuSdZMeviezORj5Hy23tBLAYs33FWCvXYGseX1ePUIpP0QV2GKNNKmUC5QNBqNBZT6cxk1lspn0KAPMkrlz1i7Z22sk3HVvjcdfqGMq2ts1NeTyZLTepNrCN3LhxZqb8IoknrFnxSqsng5cbYaojlJIrUTZ0hdPUg9tEm6+MuI7buzzJ1/wQUUgJFYIQqNRQrjJYVRKUivVfCOavOKDq7xHIrcP89oZOQr4vLXRCidd8+8FbtKC2/VLqVQtiTXCifgSE1VSFaOYyn8iRq+rFG5k9wuHGozVFZetazMe1NC3XGFY7Rg21iXdoWYYCZKUERdl5I+seb4QwNeCfxTsa08prjD4msCtYG5BwdojAFeOzXU2Yiw/2jA/cS13S/JkjlJppsUzkEvnngRezOETko/c1WK267tJ/tINeleC8sSGNfHC+ZJLjFyDb6BOSjYvJEq1NqVyKl0l2LTVIqzUnZ/jnt3xJ+ubKT/wHT0eeiHg8DkJIgYUBslQyMohUjBaRnuBBVfl8yKbmd2HnM0rgC9YW1BUFNrs74hMtghrMz1elsqOLDRKGZUTaf4eSsIY/fdF5YOBJDVEkWF+2TAbSmbWSfRKOGAQd9gwc4aL61O8dHiM3qA8JKgK1hEwX2ArXvu78n9rR7ehEaBUDP6R4T5VvZ27KSVTlxahqciV/HVaDI0sEjoFsBOUTNGZLej7MWFq+N2Pt3ng6brrbZOuLlhK6bp2RCXhlcuT/L2u3aHWMHkVOlWsn5/BLF2LnBlHy2erZbSu3czkjkpqSKRGJZo3XB/xo+9f5ed+1ydMpEtFG0mSuSqyUvBU1nhUQG5dipvK+1PSWYUqX5TWDX7K9Xfui9sMyLlcya2/86orKwcGj2rq7I+Kau1O9XfVEuDywua7RG+Q8vKJBK1XuK7Rod6qoe95ymNu3ufsScnNl6dgXKuRXhNAjf6hC/PR2oWwFujlY3T+SfF9Bdi5dMnPny/AvuYhCx+8nIA6ElzKiizJZlwXwaVM8PyEe570+OwDDcLIg7outHfB3tWdZA2Tr3UEqos+304veN3WFDaVJ89VwQ1W5VWGo7XiqZFI46RKDvQk0dQbCe95w4C7Hxjw1SeVsw2RICSx0AwywAEIm9VjV5jSykopb2WXUYU/nv0bkSeDRPY9mSwRmQ4vGdpWXlcnmFHBxSiBnj/LML9WJaaqOt1d41ZDc9OVCdfuHnLT9RGtdoKeaSlM3+dYf4JDJ2psmha0Gq6mo6gzuQDAX/GwhuqCyL8vdNdaXW5H5cma1yMsLqsyJXNRiuRODmRTYe4K0CvD3AvtLd2U2JWe5a6HGuw/W3PSRLiSWJFrb0FlgpQ9D9zFTlQsajHCOH/VV35eaG7JjT5ECe7zhgOV6XspFdKkSKOJQ80lG2K+47Yej+/16URZ+tU4PR6hyoFNI+A+X67kyZ1iQcrcNsxATZ7wcTpcCPe9qVYWSuukCtXAsqq11xDjK9Jn5W1SxZP7G552h/ZumalTk+tZXpkkMm309g2KlqcJV1xnfa0m3Jw+nY3kkhf+o2tnVpwn5WBk66kyuqy4EGtBXgV4MS5MZExd0eLl1FNTAbldA+6MtSvPObg9nWBI+a9fqPOhz7SwQjvfe4S9yxHOa/35tUAfjUcqIP8G7D1SyccaUBdMfn4rm8nT9sZgUomRzhdX0hCnHlIZfuzdfQ6d8fjQZzVxUoLcIAiFRJl8kESGmqomL0AtnKENVAr5HPCzBEvufVvyILPMWjqwi5Fdunp9zh8GlL0De97luiCh5jGdcvqIoTScWVCcngsYap/JSY1eHCQMUsN4W9AowG0LBs9BeqFgCARVu6uK89Fg1I7IlLUfeC2wi1kbldeqCvSCySvgVmvlyeiZ9So7e8Zp8BjPjzk0K/nsfU16PQ/q6nz2Lmq+KwGwKBM8xWfi/NflTfzrMHjl2haP0cHwxuT1HhWgyxzoEiOdFpdSE8cprWbCu2/v86UH6xw6m6VfnSlLKgSDLHkvBIh8DogtwW7BZXtMFnhm31rpAjpyJ0WU79lUrlMJdJvNvBcVu3AU2BeScGtt1PNwNlLMZYlTS5wawsgAMZ5apd2Q6EFYYxC6wvHxVoqnbWHJFX+4evwyojilpBgEtPb5AiAvA6/qPPBce+fgKc+ir8qTnMWrzkl+pIas6u/KcRuyIkukzByTjMm1Tghjw92PNfn6M1m1oPQcwNewd7FrCDG68xSfYTRxQfE5+Wt/FTewSN2XD2Pc9p/LlKJc1GQMbko9ngqJSiVGKOJQ8+ZrI95884CTX/QIjdPhudWRoBmKLBVODjqRZW7coHxyQCMyLzx7nzJbD9gM4KIAnKtLOR/oInNnchl3oSC8SpDl+LbS1cmHlUI2m6eCsTxe87Rhsi2YnmiyfmoMfcvVF60MVqIvrcwlfwdrMLm4EuUfKc4XN2IkjWyz6aRrV9nINnKeRCm949GJSLk9uHZiUqVqrCiLzABeOX1grd6u2oF5Kl5K16kj/YT7n/T5lT8aI7W6dE6kQghZHJmSM/Uog1dALi/M3n+NJObI3RzNXla85opcMeRTr7L7IEpHpdDk0nnjwmiSxJ0v9C9+cJX9pzT3PyExvsh42H2A2CgGZPo4e0MiiwdQokRR8UFsHi44CUkpWWwRUDq1U6btbQHqqlX8SsxdXJZ8geMC77xkoSBWcz7mLJAaw7lVj6vmJ760efvuFfWG14ve3OLxw/V6/0e3TfeRQhYD4L2sG6aaDs/nXZQ3udpRXmlSKBoh1qTbKz72SH/fiA1YqS9Ra5I5WY13aQvmiZ0c4GnpfVfqTlSl1/LUkuBXPjLGQ880XX5X+llJrIeWgrqEQJIdcjXaXHz+I2uALobkjA4jUlm7l1RrGqYrur78vtrAO1oSMOIwVYgh//eF1Kv+zlqmpxICbXn8eZ+VgVyz1chiinju+DjgOd0h1q5O+41W6+iKrjKxPe9ZlL+7wMOB2Y6OdE4hMZCkbpRgnECUQJzgTv+LYRgJznUMGzYK+uGpH3jwqWf266f3jjOMJDvW+6y/epl2MyoGoudVbPkR0GkqSZQtDi5NhTv+woiyTqG6AtfqrMITL65zRXuP3KCKPKmm5jNJUn0esQNlRX8XgWVWCpu9Tv2Uj3xujL+4t4mtKdwcDKe/hZQj/Zb6PPZ+ZXtw5CzMC9zz6o9tBQBrwVCy+mi3/doOH5PND7QZc1tryhoVIZFGkQqNHKS8544BLx/x+NU/0ERBMmLUW+MRktXOZFGjSDNjm7JUNv8cliy7mUuY/H+WW4WVsRW5JKk2P4gsirxQPmVEd+fBdcbcqXFls0laBXx2HlQqSLJ/H3iSK7dqLtuh6Q8t+jtviTBWUfci1k/1adYS+qEmjHVxAFCSKpLsjBSVSuJs0LlIBakAYSor8EL3t+KgFM7JGoBXZUqhyStypAC6Kg9EUpXnquZ2fneZ1JFFzUnKV58I+KMvNhmm2RR8kVuDWdZS2BHtPdJ8MRIYr7U813x/3hZ8YfazmRbMvefzMprkMrCsSbGyYhXKirMilCvMkllxljSkRhN4hh98R49HnvP56jPOLsy9caTAWE2YZkEnLg9SeH1FAArISlGWcLrcCspAU5RlrjbfXawoqgpH8iqV52pCoFqX4wDugB2nGXunEKfCPYx7HaaCXgKDyNLWlkdeUuw/qUkSiz6ztIwQkjgNefLIkPUTEa/bY5msBQxCnzjRxLEiVhol3UlX5Zckr1exxmYTqAVrI83RKf8XBvYIcwtb2aZLxj6PvTPGllldtzwvqZOWAaaO6Yfwi384xpHTAVaXpyWPaO9cQuWgZg1zcz6IK7FlCeQLWgSjIF/rPI1mNKvFV1U9foGiLJlVHMoqiytEahBCIyPDRZtj/s0PdXjknwd0h9mHMbJ4X6nUhIYC5EggdR/e5t+bSrCZodMK97tszGHxEHl3T+6g2dHZOK+02eXXJT+KMmftJHWSJEwEUeJAPUwFvVTQjyytoM+brl9hfduAmETrOliDfvzlS/E8xcJylyf3nePM6oCf+4HTfN+39VAyJUo0saeJIg+ZeaJlCjk/s8fNrsvHDFTfeRlk2vMAXp0lXZ7Utcb/LgBdDTLXgtu4A0urJ/JW6k20jklS+M07Wzyzr+Y8b5kztyavOfHEqCxRYpS1R7Kva5g7u4tUm6kvxNfn3dY1zknZAFFxEKwoGm3PO8Mmd1hELl0yb1xkjzSTKsZw3WUxP/HdHf7Tx8eJ0ozFIXNXBIlRDKsLUbrVZnOrUJIdMeKuDeQOj7tOhVdOtquPSDqbHXcjytmWVSavgDtf6OX5QTnABYNY0I0FvUTQTyFKUkQ65N1vmuVnPhhx8uwG+ulmfL+NtSn6n/z4O2nUWxw8+ALiT+/iudOCdRMpNT/C8xJqqSRJNWFUQ/YtqZFEiRq96dKFuzYHdB5KM/ohxBoHJT92rpxvZxlNz68BuBjV3iPMLZ1bokYeWWBZS/naYwEfvrNFZ+CBX3reiKpzUmYty8B5VIeXo9kuMINwJCwTxfdiLaDXsPZ5eB8Begny84BtZVZ9aEeTQMLZiKlUSGtcvUqiaNcMP/zePk+9FHD3owoaSS6cM0ALEiMJqQaYtlzNef0rmbDOpakkkz1lRWEpVdZKumqpbhbMVi5QaQOO1sanBqJUsBJK5kNLGkdYE2NNirUJ88twbLbJ4883uPjKW9h16RX0ej20Ugo/UHSHgsmxiH/3bRE37tEgQp4/nDC7pBEkbJrus34c1NAv30jl7uTAtZQ2EJXXf5X2HjlzcQTM5ZF1VfaWa/1uVZ6hnlcJSpkgdcK+Y5rf/mSbQwuem30hKtq7yt6VhucRkF9InoxIk2oB02jgdN5XfpHsGpCv0d1lXqEyv3Ct21ABe3n0nsFI194mcqkirJMqsWXXZMI/fF+XY7Oag6cFVlcFlgDpkVjJ0BQQLMCMENj8dSZPVJ74ySSMlbYYtW/dplaW0VaupwO2Hc1cXkCP5/uMEBAZQZTGXLx+mR0zPSQps0uKZw62ufvpjSyvam67NOHGMVDaw/c1Osk87X4E850acdTApD2+8mTEP/2ddRw4OUagBddc2uf73zTgtj2CMNLF2YX5m6tWeVVv8AhzF+B+heBSlGCuvh4FeQnu3BIcDSxdUCllgh8kzHYEv/gHbT57TwPrVaSJyNlbnMfeZd23vYBzMhoonZewqOpLUblxVZY6j7LP/9n5NSlVHZ7XppROipXVBJC7lo7Ns+BTGJLU4EnDu+8Y0AklP/3rinMrAoKKeLYCazSJlAwtiJzdK0kdpDvfUxVIzf5F9nubBZlyzaIXGduL3FVZw95rOSFbM2gFNesw8ndev8T3v3mJ6y9JCbyE/acM//R3JI+/PE5TeEy1Yho1g1LOQ5DdoUdnUJv1ZfCV1101zY6Nqyz3I375z9dz5Mx61k+02DzZYGF2mvue3MTh02OsdH2GkSJNKwCvMttaNq4GjsKuAbN1+jnT0YUkqZS/lsycVsBd8b2zYFJmrkleaxJh+PzDdb72RKOsNZG5NVhl7/LU4Oq8wQsWU1X0d67Fq8A+j7ArO/15XxW5MqLByZm7zBpX28gKUFcKsdL8lOCiujDPesqydsU6N0wayVtuHPLO1/bxRQpJAqbysCnWWBIDoXXMGRtnxaUms+eMG5KV5ladGdXMeUdSOQJj1PYb+d0FdqccVPmhYWMNwe71kjdf1Wb9+EZOzm7i9NwGts+0+ecf6DHZ7nL4TMK5zkasDb6yacafHW8r1G//5m/wz/7BNSubZpKVLevnv/fU3H7+/P4Wj700zVRNs6Vt2NC27JwRrJ+oYanh6epQ8yoQ1hRRiUpx0kjz8Gh1YLUNbdQ1MSPMrUbck7QA/ahz4uacpNLwuQfq/P8+NMbRs0HZxJA/lEYIQSChliV0vGwMnC4STWuHC1VmxIi8IcN9734ui3kxa4f0u6o3OZq4yZ26tY9qQFutQS9+XvHls75HmUkDkeUS1pYn5yst96En2ymXXxxzck5x8IR2h60WlJuvSpcIKqoBs/9A9Tl3Uy5Mxe6/ZS+wqKtqJP/BWrLMWwF9LWjUBVvWaTzVZBDViGKPKPaJU4/xpqARDDkyGxK0LiJm7P+855GDj337t73BndFz73MRtUCw77DlL++ZYHZ+iqmaYKppaNWgWZeMNTVjLYUUFB0/pTzJLyJFGeNoYHl+cFksiCqbC1NhfeOArwzuGOmqe5KDuyJZRAlwz0s5uiD58Gea7D8cQDNn7DKxI4Q7wCmQ5ZzBEdDkr6vMfYEHa278he53yeSli3KhZI9jbbMm4bMm2KT8Pk/fS0FmDVqElW7GdzaZ1o0oVtk1z7vyNUloueyihB98d5cnXvA5Nl+JDCsi2lpNZESpF8hEdVazoowd2cZsJl9yR6W8QrbQ45BJ+urnz9dgluaXleuWz4A3Fpa7IJVmGEpadU1v4DHRDviu13e5aucqPZZZN9MhTZwfpAHaE6+h1awz2OfRW57noikYb1rqgauxbdQUzbqi3ZAEvinLaGVeU1wBsVjre685cSu3BvOxEMIicllyngZ/ZXDnskVmVqCUKVI412SpK/iNP21z3zPZyONcc8tSmkhBpd47B3PZpaMqID7PFuQbWIUXVirf8KvaXT9SVbgmvZ3XAxVlqEZgRdb/mGVa3OAg56QIwAiDyC1E4YY7CSypMNA33HFdyE99cJVf+MNxlgeVD5FHhkZgpXIgLwKLUZC7zEwGaiMKB61YL8K5LDJb5GvC2vNClZzdjaWYqpUaiGJDt58iUMSxojeQdAealZ7HeDNg40SD7bsvZWrDNSTJoAT45Rdt4JJdm+5+5P6v/8rNlzd+GhsR+ArfkwSeJAgEjUDQqFkagSHwy/HDuawoQFxlrKJysAry8t/nrC0KcJsR/1utlSgqB7ZhpM67qBZMGErL736mxR/c2aKb6oprUj4L4cYMu+O3yc57P78Edm32smDqyp0YZWp3nHV12/3rgnuEnSsZzbUlyiMFWFmwKYugE0T2WmTsbYw7Y94YSypk9vnd9DJSS8uL+dH3djm3qPgvf9pmkDNTbh/K/D0oYkThoJwPcodIm1+4oqU+S4JWLkpuFcpKkjTf4KrFWgAplhhRYAISjLFEsaI3FHR6DqezWjHebjMQ4a+8cfc1d4vBKSCb7/JffuPXmJluxjUv2T3etN/ZqhvaTU2roWjWBe06tOqWZt1QrxlqgSHITiUrZpUIRllcrAVIVYpQvOFXArccCTAzK1CYIiDNnRNZqTkRnuGFQz7//o/GODEXlKn4Yr6gCzJVVkwVSFsGmBXtnduFZR9mtShqbbGUKH4+MsNc5JNXM+0t84H+4jy9ff6ZoKMadER757+XlWuaL8w8n0CJuZHEWpVsstdYqPkpMxMpD73ocW5eZZ42FcbO5EflhLbC469q++qariS71v5OvMJWV60tLxI91cVvLKm1pKklSQ1xbBmGlu7AstQx9KMaK13+9KGHHnz4DXd8e8ngAO9599vQXp0Thx7g4L6n6Yd1dxiotNmZ7g7U+bHXWpniwhVMZEW5v1RHKuQSZmSwj6m4La/M3CN13cJpbSnLRxFYeobnD3v8xK9M8MLBAOtVCqlkzt6uhiYvh9WVGSdrjwG84PQtRn82ktgRlRtXSc/9deRKfjwMlDf4/ERP6aQYa7M0+ChzyyyjKbOfi0oqXxg3hK30xV1pLcJCaLjq4pjf+ukVfvTfi2weevbuZcbk2WuDIiJTIUWGU7imCVl+DidZSvkiZXmweGko2wpeMj+92Auz65dCLCBOLLEWeIkl8lK8UOBpg8zGVyysRNx6yxW86S1voNcfAP98FODtdhvPb1CvG5r1Pr7vFR3VDuDl2e15Q0S2K2XTT0VRPpxnNEc1eB6AZlH+GqtQVIFeBbfMmFuYSm1J5VnEaC+lawW/89n/f3tfHidHdd/5fe/V1XfPrdGMbgldCCEQp0AYDNhkwUcC2Lv2Otk1jr2ON8RxbOM4jo8kNnYS37FjfBAgF2sgGGNsjInNfd+XbiQhaSSN5p6+6nhv/3jvVb2qmZGEAAt7930+re6u7ml1V33rV9/f93cV8NQLLqJYDjSTqRhA9ArWLwAAO11JREFUKCzFvZOEKkOVoBm1YooakanSSYHdsJgmeg+C8Gwus/kkTr7K8vOYj5vaeFKoTFRBhJxVSaRjydV+F8oJ5Yqq6OMBARYJHL+shQ+8tYYrvmpjMlI/RjcXFEh4Nhh8I7iTpStaN5EQSRxM00LHr4j4LUaiFUlkR810iOwDbzM1kEFNzaPqjJlocdh5Dx2dbXBqbrwrY4APjrvI53Nbn93Rvm1yrG3h7PZWMjjVihTAdfNK+TVDFcYPQwGEDFAjOLLH1OTeOrhDkFhsWVeXttpmUCdxKPU27ViGsJ0I9Qi4+kcF3PCfBbSoAW6teRMGKCfHtN6UCDDMbLWnWGzDz0oDOX2ZPmyEZ4CdcHB55LO51ByJ05XWxg3AcwJOKPR0BJOPUyLkZZ7ItlNcqSsEAiTicIjAxWfXsWGnhatvLqIWqB2mLStNLDMHha+7yMqSepDYPBNYRvRKB3X0CULi36sKkQ2QK9dA5p6o8HzAVVNQAjhMwLUgJ48wOdwXQuDYhSWsP97bNruLba0XEsYfpwZ+/atfxn+58Kxt5VK+a3RiaH2ODaKtDOQ9H6VCC+2VBjqrNVRLdVQKDRTzPlyby9zwuOspgZkUn9LJM/ndqaJiI5nKDORoKTAuRyMG56byZKsFwA9+UsDnv1/B/hFHntpE822teyf5Ji5FPKFYU5Ss7m22ikvVYJrFCgQwJy7H/FvzbJODZ7ZlJ1eQ6fh4ks0aT75IJS5N4wAnftD0PNw8CeNOs0hoJiBQKUY4YUWAiTrF89sY/FCf6cZBVfcCJE5jmToUmBjfKzEAsX8+gzEBpPTpc2DCp9g/STFcExhrcIw3CSaaFPVIDwWQ6opj+VhzbAf6+xb9w9ZtO763bPnJUy04AGzbb8N2vJ9uHXAuKvTmVnuOBHRbuYahcR8bdsmR14QSRCFgER+dZaDpO0nfPGEchPjHJDs9djiV5Zb0gMf3jIiM5VbURHFvRkL5mIWgLsctv8zjC98vYd+oJXNdp1huBoDGdZa2rtg3ADOlY9V0ByBzcGZM95zWih9imdE741Ktebh+MauDxxZcXcc519MWknA+idNqaRy+lzKhAFFUJeLKnhKBwAdmVUN88r3jGJ4g+NfbioCXcPBEWSEKjBQ+hewOS6FC+yJ+TKiszNHt3AhUQyCtmACpk1FmAshCmolAYPascRRZHTyS7Wcti2HHcA67hgsoFxh6chHmdttY1I+njjsGP63Vo9SuTQH8skvOxQ3/8oX7j59DHusostXt5UnYzihuup/hZw+XsPHFHJjD5CUqEsg5Pt5/QYSlfRaaPpM7GJD8mkIrt/HxTvRyQyZMcW4BSiMQxbnlzeTdUu9mLIDlRti6x8Y/31bA3kFHNuyh2VD89NQkzjWBiHm4CW5Kpmq1+nMSUYHEIE+A/zI8y+lxbiRZJbdYD06BPK2RS2ooUsCObwr4XDmLRFGUiMgPl1ycKUdUIPQFZnVEeNcFdTz4tINtewjgwvASDaADiASFD8jOskrrk4CX3DtSgI55eBLvSkVsCZGAtKgsTztn6Tguu/AACjbAI5lh6rohnt9BcfvDOdzycDv2TOQxq+bhoafsxx588pH7v/ylT80McABYtqQTBBST49tw1zM1/Otd7Xj2xTImay4csGRAFQV8K8JjzwM55sCxkXR0VZV+gokUx4S23spax9xcBXvSundkSIJmWD6E5UTYtsfGX367gl89ngM8mrHa6WSqWPMmac3brNQxLfe0PQgN620+Ny/Z02GbmBsNJytb7GA+SYBuqCuGM6ktuwS+spCx5RYquplU4BNBVf9t1R+QExBQ1SeQSfAZr4MLkKbA2Wta+Nz/GsOnvl3Fi3sdqaxo9STm4/J5SIksmFCKih4xKE82oXoWkrheQJcNSIOoo5VJjWt7ieDURXl057vh2LpLcATHDtG72sdJx/h425kD+Oc7i6jV56BY7QM3ZZiZAN4572zYluV/8aoBXH9biJafR8Wl6GkXcK0Ijpq85jpAOc/gMhf7RijaShFyLuBARs6IatKoj30CZoOLayudcSiTxKtoys2yI+wYtPDpfyzjhl/k4VOmGvZMBTcIiZOpdDHD1Cp5xCmZUwI7hnlO532nmchUnXcqlUk5pUZwBybtyKgmqQCPAnwSABIJhQFiYOuCAulcyjwVHfnUzqa2poQLKTWCqqsti79cBMC1QlxybgORIPjUP1Sw84CThH21DCjUjxQMIQh8Ifm3bq8slRsiK46YKRMmDwh0zIHAsYGcQ1AuWGg0c3hqcwGVYgjPjeKR664TIe8FOHFRA0v76tjfzGHhsnN8wUP81Z8fAuDU7kR7W+VjPe3HLl/cNXYWD2ooeBLUevirxQhcm6CYZ/BcgjAi8AOaVLvHqZfThGVJIhWaabBpwEvOzVLSoEyi2jnIcMU3K7jpzgJ8aqmptFo1SUuCmpo4ulJfWe+0lRbT8+2ZrHYG9Afl4y9jmSeN2UpZ4kDuy0Qfz6grSgefoqwodUVaUbVNh/GVpCi1XRHTFhLLh0zWNELgnefVYTHgE9+oYOcB9W1jfTyx4oIyBIqLxxPeVDE6RyL7MZGcF6aDzNTIStsisCyg0SI4MGqh5VO4rpq3pDBjWwKeU0ClbGPZouPv6ps792NRNHJoC97dXsVNP/r5xPxZ+U1LZttnNJsW8xx5qdeEgxKoXnAMrq0lKbXDOVT4KTliGtCUqryTuFQt7Uymm/VwybmJrqkMsXeU4ZPfKuOmO/PwTWCnrLaUH5KAjrQOunk91TQFGSUjc0uuPCYd0WBMS6HxayqAciRgN621ad2mhOuRWHyuLDGdEgwScRmb1sOlkkeUpEcR9+gWNKYooEJZfXXtZQJhJGAhwsVvbCCMCD7+jQr2jhhndExZqIrpMARCXgsYl/ybxqBX47iFiC15zMdJWikSAmj5HJN1hohT2E2pPun9Q4mAY1lob5aiSm/7pvGnfzmxYvU5hwa4PrB+s/bB5YurJzVr4fGEEDVwUyAIJedjlMB15CWFUUMDTh31TJg+Fa436Ihpuc1CYZ3jzSJEFvC9Hxdww88L8JkZwMncE9nYxiK6O5WmJuliBqKc4DTPFimLkgA/XTBLpqBb3xlPXqaKki16yPL0qQqKGdJO5qZpdYXH1ECPwE5OTcm/hdqmv6rOZTR+l3oSAWCIcMn5dWzabuGLVzOEBKq1GzKBIJJyOpOBrojrSs387yn7Qf2mKBIIQo5GS8rQlMnC9iAU8AMOPxRglGIB8s/0j9U/WCkXpt210wL87W85Hw/ec300r6dPDO7ZDs8RGB33sG/YwUSdIlCtNWxLplnrpkBJwYNpDQ2QK+tNsmmxukiYZoEuswNhA3c8kMP1d+TRYhm1JHWT/zFTvSaTImKRlgWRdjJn0mMNyMYnvvl4Ouuu/+rl4jv13Aj3mWF8aHDrWKFxFpgWnENxb/Ve6XSaCguAGPgEXIE+Ss4SBf40L3dIhHecV8ejGyz8/IG8pE6MGKqKfgyElMIXkqpQIpL5mly+NQZ6/N1FfFXiAmokoDSEWnoOQ47JRoT9IxFGahEKBYqlK/vF89sa0WV/cNHhAxwAVh7/RgSBj3uffBq95RfRXirDD6potKw4d9dmgGUZMypT1TtGfkmcQZgO6iSAziglNKEl1Ba49b4cPvaNCl7Y7smC4RTnNiVBWXCg9e64Qkfr3oYsOCVIgun6Dh5EBzdhnEk4mrZ65xDgFgd53XQ0U89jiVBJcMpKEm5QEqLpDAVR8+a5AAhXKooqIePaAqeC6UmLEAIAEXDsggBfvnwMH6XAbfflky+qHU9AhvOFjEBSKqkKJdKKM6HBbUyTo4ll131QQi7AIjlFT1J+gjASGJuIMNoK0dk5iXPXVWtnnXXC9badx0yLzviCXRWcVL7pFtaOPfp8GVt2Wai3OGoN+QW0U8CUbEiN9mpxdJIk7dbMOkoT0DQuO+MxsClRXWBtgVvuzeGKb1bwwnbXALdxTwxwE1le6BAR53kzmoTjkxxvkaIhdBoLngA6W8hggNmgIrGCktl2MEs+neU29W9hvEk3uDTxNwXspnMZT05G0j9FGKNQdCNPNWhWNxKS25h0RjmLb5GwZJN938LyeSG++KExXHhGXVW/6FK3pOQNPAIXAr4AfEFk2zWjvC3KlrHFHayk9Y4iEd/rXoiFHIPrWljUBxy/0MbZJx4/VMETX188b86MJmVGC17wLIwPbfm3i89b+Onb/EJlZLyJ7QdaqDcIuqoWHEuWSVksPTo7aYqpai11RU6qx0kW8EkQh6r+gdQSuOW+HP78Hyp47kVdcmZabJN3S0ulZ1laJBn5l8zWMTvXZvTtaRQTE6FZpSQrByK7/XD5iZhhm0FPhKIWMRWJwZ4kWsWFDjqPHIb+rGTERDqUvVOICnXrND+iODchSDTuGVbkCxy7IMTn/2gcAsBP7ssnxl4nYKmAUMQZWpCpAZSIxJorBzTkst9lxGUabESlpWYMsCKBSH2ubVF0twGlUoRdgxT7xjqxt34iaqx80F1MD/Ziqb2rBdAPdHXPr3W0TWDviI96g0MISUUsZb3jWfBMKMqSDF9NBkbpCQtRqs1Dqo+JapBJLIHbHszhE988CLiJCW5ZfuaZltvg3VOno6W5+Ex5EVnwTyuCzwRocgimIqb9k+TlTAQosdYGuDXYNfCNqnshjFn3Ij2SMKnK18+TwuSIm49ZMgeIM9lEKLIQcRthi+HY+QG++KFxXHBaHYjMwuUgVcAcCKApgBaHLF7mQCjUTTfV1LfYciePZZcAoJAT6O1sYGh8AvP6emsWEx9oa+9qHWw3Wwd7cceuCV6tLnykcy7Gv/KvGwpF28b8HgrHoXBtAccSqgutHJVtTxm2ajbDTKrgU8XCqhJH3gIIxnH7gx4++jVNS7JKSToMH9dWEulYxgOjSFK0MCViOQXQ0/QcNOhIVh7MOqJZcCbvPryVUkuQpMomr2sdPNmezlfR/Fvr4TKAk/D0JG9Fyt6Jhk2QWFvdyi3+3tP8gFRnWJ9gxbwAf/vH4xAguONBgiQTJH1tC0HRQjITKE4WAwGNhEpUMwxRqPL0mVRNWgHHWI1iQcXBB97WwNI168aLlfmPhMHwQa41hwB4W1sHygXvwGQtvPj8dSf/avOGJ+2eDkvVawq4DodjC3WTabUypVZPVlC9uplRYpapgE/G+QUA4/jl4x7+9KtVbNxpVMKnaEmmeIEmvDsBt4gdy6RzluE8YnrLPRWiUwM8iWJCUq9nUX/YKorSgbOSWUoXN64G2lKn02lJygONrTwxg0Ya3MoJ1R1phXYOKYjqbRgvXa7G5b5MytWM1QKWzwvwlctH8aEQ+NVjeQVytWNU0I8LGy2up0roACBRp0wyeU1uTwBPVGdX+TssWNTC3AXnBBbFxcVi5QDgHHT3HhTglWIO217cjlXLF+5uL4bbZuW3LS3mJkFAZadZJkHuOjJf3LUi2DaHbYWw1ZxKc7KwZTqTio5QGoBZAYjFcccjHv7ky23YtFOVm9FprLfhUEpwi4zlNqvkze6wifVOg30m650GdMrRPAiA49xn/WQGtE+vnsSITL2QCm3rhCUT7CShMImiklT/6MBJIiPqP1aynvGcArEl159JNeapmSqQWHO0gCVzQnzzI6O4/CvAnQ/nJMgz0imnFppqcL26DsRRWhhXBkD9CMjfFnFgrB5i92CAZlDGOm/FtmJl8e79+3ahZ9acgwL8oBwcABhjiMbv3jGnq/m+U0+aDUH2Y6IRAEQWQzh2BNeO4DkRHEdOLrPtCLYtQ+vMCmEz9Vi1MTZn5ThuAGIL3PlYToL7JRdC0xKqxmmnulElUqBL0+C2ZgC3ObZwikqSlQDjG5nKvzNYTG9Ol68dbIlDvDCt72kGgoRWVAwaEp8XJLbYMWc3uHeioECNJkwaBcX3wtxOUzw80qoKZ+CRhSiyEXEbvGVhSX+Er354FGevrYOGqkN9zMl9gMuC4WYE1COCJpddYuUNaAUErQBoqns/FAhD+TsKBQ4fkyh3zce2Xc33XX39PTtSBd4zLOtQb5g3dw4EHwdIaWD3cHTP7Y9uPJNFFtatIigXOHJuCM8JZcWPHSUTFWjCuy1FRajRkN5S4H5phOCBpz185qoKNu30IByGeF6OCWwqObeOUOogTjZLMAvubI/BNEURUyjIFOnPAGu2HI1M+XeadZhcRVvlaTGvDZwwjV2SOpFIigZ1MTg4h6F1I8m3Rhw+N76oLsuhXI4ejBWVJB1AWnICIEr8Bwown2DpnBBf/9MxfPq7Ag89lcfOYQE4xiWJApwzNFVToUgIREJ2zQqpfKveJiDl5lKeYe0xwKyeEhauWHLPmrXrBybG6mivTh+9NBc75DsAfPazX8AZZ104HInqRMG2LnX5LvR1C7SVfBRyPnJeAM8J4ToBHCuU/NuKUuNDGNXPA1gshOv52DJA8fnvlvG168vYOehC2LZhtY17SqF7CHqalpCkn6DOM4knEafAPVVBoRm5MFtNIyvok9yI5EpgVuMQlfaip4eRxHmiJPU8ruox35M96aa5l4+Tz0heMwd5Zd6nT0Qyw9DV7Ika07DsJSndBza517QmrrxMWwcOdLVFeMPaFmbNCrFhi4XhEZogzdD1I0EQ6nshG9qH8RVEN5eSQ4l9H1hz/Gk4dtnCPxsZfOneWb3zD8twHNKC63Xs8n54+dIjbcXGzeP9u95Wsp5Bzkt0bUs3vdQ1fiTJN6FmWzUWwPECbBmg+Ox3KrjxzgKa3FaTzqyM9ZaUhFGVFTgN305ZaWNeECNCDc3LUBGTjsx08HUxQ4ZDGsdnRsryWq+Ys8YWnyg+rC23fg/PKClT70G0VSegnINT3SpW0heqKhQEld22hJrwIEgCfk2JmBFUAgh6qgHefUEdriPw2W9VsXXAk0UTVIVMhYCgFkIhxxo2o8Qo2ZTCUfSTNQR2j4Xom7cA1c7FN5fbFz/C2fhh76/DBnhvby9q47t2rDrupMu//YO72GPPsIvec+4BrFxggVGOXM4HIRyBz+CHVGapKS84UUsCOG6IrQMMn/lOGTf+ZxFNasnuisToXaLnVWpKQtRIbZJEJ3X3qekcyDihCsm2NNBFyorFTTSn8wnNEyD+mxnQ/BqAPOtgaidzymahvqR6wkHAplFSZBBI/e7Ymsr3Uw5wyNi9bsUnKEDVlGTZVk4DXn4e1R1pVRhefznRILDtAJec3QA48JnvVLBtwEvoiq5CJkydiAI8jBAGAi1CQT0Z41g9fxQfemuE7p45P56/8KTLX3xp185jFs3B4a7DBjgAFMr9+OGt9+7sm7P+2Uef4RcN7G/g+CU1DI418KOfWXAdijesbmFxH5Vz34Ekl5uFsL0Q2/czfPofK7jhzgJaxFYj/AxnUlluqri2bK8mjO6vYlpte0p9pQFuMwnMzEFJWelplBKN2elwO/12gcPw2w+B5MzzFO9O/vdUcYTxPg1ond5M4oCQSKy1yi3nKldEc3TomkpVYSWE1K2FyieCCe4Y5JECeHIDklx0xwpw6bkNgAh86ptV7NjnSkuuMxHViQQ/wPI5E3jD6jpcG/jhfVXsH25Db8HCmiXHYNmxZz4bhr/a2bPo7Je1W18WwAFg1THzUG2b/UU32rMwx3e/49GNm/C1H3Xh3sfaEQqOi07bh7/74DjKeYBzHgdyIhLikWdsfPvGEn54ZxF+DG4LcoyftNxEDYNytTNJk4zAmapxiAH26dQSM3JJprsZFtwcP5IK2WfAPd0iB/mbg2Jb4OAfiinKoXI8jRKwOHyPtLWFQWfiqiGiqs1EDHJAFy3r2fIqz1+F1gURcoKaIBBEJW1RLosXBAVDlAI4U/ctQeDAx6XnNAE+im/dWMITm3JoRQrkhAAhQ3slxBXvGsfvnEzBBcEpK4fx1RsFHHcedgytvH5N27ovjg/veblwPTwn01zf/MZX8D/ffWZr1TELbvs/v3jirM9f483dsruKnpKN3irDCUsFjl8sYDOi+pYE8EmIa2/L4f1faMdjG3MIqGG59YxKYscjtHOqpbFDEXMxPRxK1+4lrdSg/ABMdSazVt08ATLvIYYjSZRjad7HDqN2MEmynWbuE6fv8JxM05lNfb9U2nHmRM36FMb3MU80+dggVkQCPa0ImWeXpjmmRUbaMgvNwdW9fl/8H5DUFxCCgBGBFQsD/O4bmhgeJ9iwxULAiSw3tFx4joOFvR7a821o+QUs6iV4y7o63Hz1Xrdw7iVPP/vk5Nq1a142wF+2BQeAFavPw49+8UR95er/7nc+cCM66yPoaSPo73Jw7Nx21OoUOWcUOa8OHxGuubWAv7iqgtFJJ7HaxOjVTRkYIapfoMm3kwY904ISaZlvyn0KRGakLE0xptCNaa2pYWZ/TQ7lTCuTVJhYb9PaixQljx/r7paJFc/8NnUFIIreEGXFCZWzgHTjJtk+jshCBG3ZBQFjUeo7xCskYCxERynElR8Yg0UFrvlxBbXAg5OnaLMZNmxqQ7tjY25PiI6yg74+G+/+3Ut9kFo9V33TEe2rIwI4AKw7YRE45w+P/95Jp91x5125cp5gziwbnitHS9tWiO0HItx6fwFf+KcqRmu6KQ/LAJzBohLcOdUMU1trK6OSwKAhKTADsdHIKiT6RICxHSTzesraJb8xfQK8DlCt700nUyDpKaJC9MpIJ9ZXZySqDyCxhk7iPt0ESEaKCGGkBasweiTvudEJQehhtJRP6bjFdCEEku8GSHWmkg/x2feOw7UEbrmPYsdYDoxaCP0ILw0wENgIoyqqfac3rPzyhw8noDPTOmKAd7aX4bfqn3zr75wp9g3s/HB9bLs3qyNCT1sDHZUJPLXNx+ev68Bdz5Xgh0y2HCAEcQ63ArdN9ehskXBumuSTmM7kdFU0KRCa4MxaeRPEmGqEybQbj3i//lpXlsJPeW7IgrrSBzpypCkJkQlaUCDX6QZE7Wh5nylB5LLWVk65phAiiumLEATCmrobOZEN+IuuwGff28T5pw7i09dSbNzRifYxgoIXgNII8+Ytac5bsv6rzcD9i1Ixd8T75mVzcHP91V//jTh93fp72qsu66wEp3VXBtmCviFsHKjjU9e0475nu0FZAcKyIbSLR5JqHIsR5CmQYwKubqyo2hfLNFzJt+NZ8SR9n6Iimq+ahcQQ0/JU/Tqg/g4mncm2SctwcALV9mwqBycKQPIzXwYHp4fBwel032nqb0uBUm/X4mb6DTH0BDH4NBIrnB16NXUbjcEc57aYncCnfFehcsQtNP0ceJTHglkES/oaeGY7sG2vB5sAc/u6/blz535xYmzwr45Zujx8JRg9YguuV3934HPSe6UrhvyxkebnrvppSP/zyR5s313Eoi65Y7aPWvCjEHHHcyL7ZbsksdwOFXG/QCvjNJIYhCJlqVMcTxskY+fqzVM4efY9KYdremt+MKHjla6Dfu5h/Mdx8Eb9DqE7TGmaQoRhuTP/aarmE7HzmP389L6Un02piIuKdX45FyooZAGItLWn4JTKImTKYTMgCFzsOVAGFxSLZjXw179fx+2PtfDoC32c5bo/Vyi0fXnrS2P+a7pvD3e9uPHf0Vl1V9750J6nPvylJ1jByqG3CpRygG0T9PUP41dPNfDkxhy4mwOsHBxGUbKEst5aKZHAttjU1sbxF83wT/MAT/fjZlQbkLGWBDLsTqZuN5ttkri5vbayJB5EpYdTMZZttElUx6ZkW7rRZ1ICmChCQj1P0g+YjtRmptcRYkinxvSM7FzSxEAI5dOIKSd39qQByNR9G6cK6OFiyXAwqgpdZH2AzCq17QCO7cOxW3BzDTy+ycWdj8zGgs5OOBZBqRCiu60Oxsbwwsi50ai/eLVN689d9o63vGJsvmILDgDcWoRid3lzodL9wcveXvj2s08/TssFimrJxqwOgTPXAG9dN4YrrgrxwCYPhOhsQMBlinszOeWMxTKgmQ2YgDL2taZk0RmJSZkTIT4uWSd0ph+U+YwkPI1Un2sy3d8dqcmYgf9nv2vKB5n5p5r5WYaVNqy5cjbjhkKJD2pUByGpHFI/WsTfId1fMlInsCUowHRGuGwiRBmF4AQ243j4eYYPf6cHzfEK3rCCoLvdRrVoY3DExerVZ/LT5y/+4O7mnM1lOnyEOzK9XhWAL1p0El54YaN/7vrTv79/10t5l8/6StA8gI4qQU+7j7xH0NNB0V6RUS+LUnhUwKUcNpU9n23V1DwuVjDbLpPU/k9yn40Zi3GOc+ZoTwHENMgg5ofDyOwzgT6TJzeduvEKgE4O57XpnOks6oXxNabZbn6oEk7in5NwbsTFyPq5XvrKoK8UjAk5cZnzzAQ+WR0fWQwCBMNjFDt251ByGLYPBKg35dynxQt7sXe4+JHjTln3fXv3tmh2/5oj24GZ9aoAHACWL1+KoQN7o7e85YKt2zY/MfHcU3eWis4w+robKBcmMFwP8NjmKohlSUlQNTL3LAVuqpxKk55oypA5SDqRPyIAibPO0gcuhTFyCOudloGn4jhTZJB9l+a/064Zk7/TazqrrJWLmd5wqHNIV8yk8lmInsCQcVriZ8rR5Ih7vsuqe8QFzIBhxTWdiiTILZYOEGkrb7EQQWhhzWIf3cUado/lsXOIIAhbWDSnghWrTp045eQTtw7s3RfN7l90+MA7xHrVAA4AuVwO23fVftzdd8IfRVH41eE9t7RXy4N4cEOAa++oYrRVgmXZyDOBnCVkl35LWfC4BUWSrppVE4DEckci2cBN8McHMg2W6QEwRVCYdsmPS7w4M+cjOea6ZnIaTGc2kJn+O+W8ZR1erXEkz8W0f589afV3k+cJibW/6VgcUXgX0I2FpOUOI3nTrSXMvzX5PqMA4zxl8fWihMNiNlq+g5wT4nOXHcD3bhd46Lk2HDO/hLde+Mbh896w9k8if/LH3Ju5x8mRrFcV4PlCBQAwODR63YJjTrcmWuNffGjzWNeX/oXj6W0lCIei4FIULI6cLeBZgGtLy21r6204YWYOdnz1V4n7YSRNtuBAwhuNgzcdTSDTAzo2lMYfmQ6sPvga3GnKkgBb10PGS4cQD7LIDBsJmfqcKMcQOviinL2kRi45k1I/P/7uyfyc1H+euUrqj+MAwoggCGkMcv37ZbqA6WTKYxdxYfRZSagPZQK2ZaOQc/A7JwOz2xu45pcdeOdF6wbfcPopHw8D/zq70PtqwhHAqwxwvbo6qhBi5Or1695Ir3x84gt95ce7uk9o4p4NPlxaQNERyDtyzorm3hYjybhsmozKjgsLiNSfNT0JQkAIgSBKGsZwnpgsQmLlPT6AUxw1ksaqybvjKwayWXrp5KhUM56swnM4PNwEL6axqkjhMJHpMhp/3Jzf8Cu0CqJJdhyuB1ExTP236TEmBLKvOAQQRhQtn8IPEwse79v4OBmj2RVNiRiBpcvgBAGogOdYCHmEnz3YCYgK/ujiEwdzPRd8Ysuu6Oolcw/e3+RI12sCcLmD23Dtv9z6/b6OavQHF83+e5c92f7cTgaGPCoeR95NLDZTFpwxYgCcGAEQEst48ljJJowR56g1Ze1eECXMklJ5MkBpwSkgIQ3u5LBqrq0IiWHokpxqVbFOEDe3NE+E7IeJgyH8oC9l0hFMmS9zcsajHGeQ/OLfEXMQPZsn2T+xzEhVnrbgIITBV7n9k00GP0iuAMlMIq2iqKY+lIAxgYgJcEta/DCk8EPZbyXvBggEwTduzuGM4xYOL1g662OtA7/8p2NPuOC1guFrB3AAeM+7LsTGJ//tWtfq9Gv1jn8suJOldkegs0LgWrKNlxDyjLeZ7DvO9PAlmmTlaa2ZMRpbdy4ECA2weyTCUJ3F6bQWFbAgP8OcARPfqIq1ZZQT/ZCo78QJSUa2awpkqisk+dOpyU8aqIdYMxDpbD5MSiY0Lbeha5uAzy4tp1IiLalOqYVI/j7pWyMbpBZyASIuMLbHxvAEia9esj88YotNYyuegNy2BDjniCwpD0acoNaw5EhKZxxtnb0Tod39v29/YOLfr7j8v76WEHxtAQ4A8/t2cKczuv7B++aH644Lr2kO7/Jmd7lo+AJ7DwSghMCxZUN9i9EkPK2IngzLUzBGYFsUji1bNnuuwMkrJ9HTO4of/LyKwHdRdgVyLAlkMAMwOiJKs5ZbG7YpUVFlgYkBcIXiuJNa/HcJ4kXmhDmYiDKdapKiIwZ1iEGcjfCawRzj/42/g+ETcMS1xCBG9qGW+ywWwbVD5LwAftjEHU/k8dxmB31tAq5L4dgUtk3gWCTlLyUnl2zn50QAFzTuXrZ3iKLRsjE6LrBq5YnN9Sd2XHbHk+LG+d0TB23a82qs1xzgbtcVuPLr10d7x0s3nrZqKGKR+88s2uFt2tPAY5sJZldtuA5B3mOwmSwuFkIkZVXKcjuWPAk8Dyh6AtVSiMX9Ieb1T+CuZwTu39ANRqlMsY2PsLqkEkNPNwoaJDZFPC462ZZIdHJ6MIC4C6uqkiGG4mAAX3/IYaqDaSlTP8xw6STNwIxMJmO8qUFT5P+fmfYA43upK5Pk3vLslo9lZzLHCVAu1PDYlhZueagKNAEbASpFipzH4KnGnMIiciSJusxp55+CwLcJhOAo5QVmd43g+R3Ac5vLOH3t/OZk0Pnuyy8r33zhs/Vo8ao/eK3hd6T1VS9vXfHH78DbT21EvbPOumnZklnvWbCwvT7eqsMPKTyXoFSwUSnaqJQsFPMMrssUXZH0RI+1cF2g4AmU8hEqxQCgHMvmCLz9jFGU3SbqAYmrsoFsRT2JOb6ujDepgD5AU29JuwSzcXvcQkGDWyFI6H8PF+FIKzskA+yUM0kTa2vOHCXx83TmpfprqWVH6sbTnWZ5/P/KInHPCdEKWrj1XgdbdubAQTBeF5hscDRaHC2fIwiFbCqrusSGIeTM+DrH6GSEkQmOsRpBoyVzjqjTRO/8+ShU573vnFPm3nTdvwbR4lX/7dcBvdfegut11rm/hycf+ndx/Bk/++H3f7DOmmjg293lwUpXm4WedoZKUeriEw2C0QmCMCSIOAdTjpzFAMcS8GyOnBch5+qGQhx5V87PbEXJhAJ9yddOq8USKw7oEeTynfqKoa8acboo0QlywpiBYzibRqpAQtJfeVpWNs13Cu+Oe64DyfRoxb8FVItk+dskCJPAi+7LLdUQqXRI55FADykA5GSFIKRoRUDDF/Baauq1Mja2Jb8QJUAIoBUIjE2EmGxwuDbQKDBQQtFeLuK8U3oPdCx480j3rOXbDwS+eM+73CPfOS9z/doADgDHn/JO/O0/fBejE73/duyyDvv041tfdsKNHeXcENrKAYbGBBwnh7EJD41mBCEEbJvCERKcNgMcm8O1OVwnhGOHoIwbI6QT2YuSJKHJYrKQyFL9SwAgUkc5gtGXWlljzdmFDjIJyVmhpiPowgBtreMJaa8E2Ibl1s8TFUX/pnQvF7MXe2y1hfwdArK3NudUGQuiPl8qHQCXbYtZEqU0A1WCC4QRRzMkcccpP5QzeziX381igGvL/VdrCIzUfPhhCzsGbRQdAup04LTuNUNz5rCP1B4+7lr3koAw6rys3fJK168V4ADw0T96HwCgNjl2LSG2NTzwqysHd93W9dy2Idx0l4fTV3AMjhLsGeLIOUC5IKv1CSGwLDldy7VlL0TPCVBvRHhxwEYzsqSerh1TnVduEaW1K52dKYBHCpyhmouuLrkaZHF3WhhA0xabI66SyQ6NigGCjOOadWKR/F+SchsOZfx/TkNPDIqie7GbkzQAqIJfhiCQUchWIAM1gLT4NgcgZH9HFgpEjMbUJYooXIdi/uwAubyPeuCiGRH4IZcnSiSg22d7jkC1xOE5cnhvMwpx+uox/MsvPExMzMKxa84YXHPy6Vf4fnBt/ztD4J3kZRC3V2f92gGuV6FYgYgmf9C34CwyNBl94a6nf9XV3z4JSlqw3QYGJgRyxIFjRyhyltAUW8CxIzh2gGLex/5RjvufyKPWdNBVMXJalOW2GeBYBLYtL6sylVVNEOACfshR9wmCCIYUJpUGS+gGZQY9UFac6lovpFWW7BHMNt5J6fDTGPw4MGXQE0pEPGIlAbeeqsHlaD0mhwzoChuLCUQRxeikjckGQ6ga61hMILKEklnlVSCMKKKIIooY/MBCpcRwxpom+m5vYNdQEY0cgR/ImTkhlz4JY0DOFZjd2YTljOHF/R4CbmHT9nZceraLQvf6wbPXrf9EGIkfdHQUjxbMjh7AAYCwIp57sfl9Wjo7fNfbS1/Zt+vnbc9uHMHpxwYQVg33PtoBP1BWiQpYutmnG8JzA3huE09vI3jxQB62w+CpnBZbZycqrujYBK4jJUbborAtKUd6boh9EyH2TDIQUNXMUzXz152FiJEDoumCSFvpKUlYR2inZoy6xpmVSV44oyrvmpk32arasiSPnqgXsH/YxWRdBsls1WPJ5SpeSeWkMovJbsHyxtBsOejvaGL1whq27K1iMnBQDglaoXQouXJWXEegVGji7mcauP+pPI5bQjFY78S5S88ZOWntqo8yq3kNIdWjCbGjC3AAWLnAgxD+dcGc1cO3/+LFRauPs77U495q510fIZdCn8UIHJW34jmSmpTyTQyP+7jpniJ2DRXRViLIqZI3TUnkAZXg9hwKz2XqnqCQA7rbWlh/8gF8/w4Lv3i8A2WPoWRzeILAZUn8nagpYZxLkCUOppmHgvT9Ea44WEPSJxUxJEEdEpdhcdmX3bFkR1/XCVDINfGrpyJc+1MXDgJ0lTnyOfn7c46eWc9BCYVFBQImgS1vFuoNFz1tNt62fhJ3PzeJ8UYbqi5BMeDw1SjJSHW6Z5RjvBFg95CPd799XRBR/rFZc0/cOjSR/0lP+yuqiHxV1lEHOAAQ4vA9u7b+eP3p/80ZHnyiPrBn/bdGJx8lji2o50pAeq5Azo2Q8wKUC00AdXzvVge3PtgO13NQtAU8i8eZiY4lqYkMDKmD6zEUPKCY52grRejrDrBioY/hyTE8+KyF0VYFAkyGqpEELuJReETxb5qWCc3RfocK7sy8D5Dm5jqnL+71mEiEyVgYHgNcgttHMdeEH03iJw9W8cun8ljVF4EKjjBikj9zS5Y6EKIccDmh2rYo/FBSlKZvo1bP4YKTx7Fp9wF8/cYcRho5FF2BRiDQ9KVk2GgSNFoEc2ZV+f985zrRM3vZh05YueKfdu3d6y/oe/VSXl/J+rXo4IezZvcvwvaXtviNqOe6fGnRip7uE//ypBW9qBSAcgEoeHI+eSnfQqU4ic17Atz8QBsafgkVj6Boyfxy03rbCtyuQ+G5FHkPKOYESnmOUiGEa4cIAgtvOtHHumWjEM0WapFAIyLwuex2mpoGZmrhOHIwH3yl8781XzclQT1f1KQmthXCtgIU8g08ugn42aNFMMtCKySYqAtM1iPUGxEazRDNlkDLl+qIH8hcET+kCAIGP2BoBTZqjRwclsdbT21i2ZxhHKiHGG0Q1JsC9SbHeC3E3qEQtXA+1qxY85fHLV+4Ys3Krutq9R3+yhWvD3ADrxMLrtfqVSsBoPG1q27cdP/WpVd+4E3DTthq+2RtbBfLuQFKeR+V0iQ2vNTEJ7/XiY27OtFZZqjYHJ6aGWRrkFsEjkUVwBk8hyDnCuRzHIVchLwXwnVCgAi4DoFnhUDkI4xcNCiDE8m8logTRFROB9OWOzupN1VQ8Cqt2KCn9O8E5GkrrqZoWAEsK0AjYqj7FrggaAYCDV/AaUGNjyFqEIElDQETcCyCwJYc3A8ZmG+DEYEDowILewk+/95RfOS7FnYMdKHkEOSdCIWcjWJ1ftRC99+ccmbpyq3PDkbV9rOPNoSmrNcVwPW6/A9/D3f/8pZo/dnv+PT42JC18bn7PzJ+4GG3Wh7B/tFJfPSqTjy7tQs9ZYKizeFQab0dC0lVECNKIqQyxO/IuUJ5T4I77wZw7QA2CxFwAcEFwEMIHsLnDD4HHE7kQFIOWY6lUwiyIzcy2VWvMMwD80wxJcR4FGJqSrScNSpHxMgp0YRQUAi0ONAICeo+gWPpiqlI7RsuYwwRQRDJwFoQUfgBU3KjrZ7bOHZ+DX//vmG8/+s2RprtWD6/inPPObF13rln/n13V+enf3jDf+CSiy892rCZdr0uAQ4A689+Cxr1Cfi++OTyVWfRxnjvaf7w1fTOZ+lpG7d71qIugaIj88EjrvqoUMDSxa8UyjlNkrNyLkfOjZB3Q+TcAK4rLR4RISztVAqOUA0wDbkeWkpSEUCdu5LtwpCh0S9rien4TsbJTAV89JxRlp43SqDG8IUh/DDCZMCQDwgcXzvfQo2e4QhCgkAFgaK4ekfKhVEI+IGN0YkcRidymNs5hEvOssJfPNXxwP/4/Yv42uMWPgCCT46NjaNSeW1yuV+N9boFOADk8iX98BOf+Lv/A2q9seQ3Glddes6eSxtje2mz2QAYxfb90pmwLbNppsphsQlcRygLrqx3LkAu10Ih10Sp2MDWgQhDE7psSFrzgFM5cUAAthHKTwYwJSvRs0kq7/xwV0pyNGXH7AlEzBIxPViXq0G6HEQFnzpLIbpLDYzvzmHMycNhNJY/42iwwxEEFFGkJxzLgpEgYPDsCD6P8OIeD1FgwcuVIOzF/BP/o3rD58vOHwb+YxNOZc3Rhsdhrdc1wM31hT+7FBs2bZuwHe9/jwwNbHnqySePjYLRt5HoSdxyvwu/UYDjCLR8rqyxBLnNCFxbWu+CF6KQC1DMNdFeriGfm8Dz20N85+YiHtqQl2MkBIcQHD6n8IXUjCM+NdFKryn9VkiGOx/idyWRUElNhH6cRTh0yJ7HVlz3IkmoiUAQEJy8LMAfv2MY37kZ2LwLGIzysAiFRTlsS4599HyOwJMTzADZg8WxOJo+BaU2Rhs13HQvcN7Jx6JaKt/c1rfmWas6+2vDjcZER9f8ow2Hw16/MQAHgGXHLASAAztf2v2p8y+4ZB6az2Fwn/u2J7ZsQY5GeGkkwI5Bhr6qnOxLCYGt6Enei1DIBygXGuioTmBgaBI/eZjhlnsreGarh5rP5PgIEQLcR0QpWhFFjsqhSHHlfgbc8t5o66YevCwLrrMVubwCpefOG4GmVC+ShJrouaOURIg4gWdbeM/5AU5YPIRb7m3gpgc7MTBYhUUpHCuCa0l/JAg4uJDzRnNuhJ6OCTy7LcQzm6tYML8Tp520DIuXrbr53DNX/MmBkckd+WLP0YbAy16/UQDXa+6cPgi+bwfI0o9GRFx36dvXXF5mz6+/9qdP4pEXQlRzNjqETLByHYGcI6lJKd9CR2UCOwdr+PhVVTyyoYrxlisTTpwm0GoBQQQwAZGnaBEXPgc8oTm4TqpK+DY1gJ3uipWGuMg4ovF2JMoMUUlflMhxIFMouZlNqBQU2wrh2D4KhSaoFYIHFI2GC8EdrF5IsLQ/wFlrBvDx70bYsa8DnkXh2QL5lgzahKHk9XkvgGs30OAFWG1rcOppy+6eaLGvdXcf8/SOgdaORfNnH+3DfkTrNxLgAEBoDwBsEUJsmTcfz07un+h965uWfkewjYvve+hpRiDg2gR5V6CQi1DM+aiW6tixv44rrm7HQxu6UHUZ2ovAhE8wUgtx3skHsHZJDcOTDq65sxONyEKLWTInHNPo3sTUqHW+OYnL7QBdIKG5tU54MnucJ9ZbfqDq9cdlSDxuoJP8l3HSFaMcthUgjJr4zo8sjNQcnLgkxBkrGUbHy2j6Mpdn7ZIarrxsCB//AcX+A+0o2AJ5VyDfitBoMYShQLXUQtus06M3zlq95Z6nwvcvW3nqAAQ2EfrKNKGjvX5jAa6XspSbBgZGNy2eH77pnHVe39vOX3vDc088UBbB/kLBG0Op4KNUaEJgEp/6pzKe2tSFpZ0UHQUOixHsHAJWzG3gL36/gdULgBqvwbIJ/vFmD5FtpZxLE+XaWjOSFEtbKs9FglbEILVUjoo+IZjq/6KLBpKJwjJqGlHERQm6LE5b77hAgXI4no/v3mLjyqt7UAtzOG5hDZ+9rI7uUgm79hdgWxxtpQJWLxjGX//BEC77cgHDDQeeI1OOuztKqHbPqS1YddK4azcunpVfvnvRQraDkN9sYOv1Gw9wvXp7qwgjvuMt/R0vjYxNrOypWqdaTHy3Mf58aIdPtttkskRoiAPjRcyrAAu7ge42G9USRf+Yj9k9FIz3Ys9+gbbKGN5+xiRueaiBfSMFwxonVMMsiKZM1pPaFoVtyyqWKBJohiH8QLc3g5xkBilhurbc1goIwkCm7DKqMxoJLCriCKpWZ2Krr74HYwI7B4Ab7qlinLRjVpWiFXr45RNFzGmXiVbtJYGedhsRF6jmIlC0EKCAUlt14qwzjhk+fe1Sy3Wt9xWr8x90veIYIPgraTj/elu/NQAHZF4FAD50YO9Ib++s2+u1yWPu/dl/tC79/c/92ei++/570Ho4WDyruCxHqNdZCtDfQzCvdxLbdnNs21PEPY+7WL4gwqJ+YEl/Hf1dIYZGAY+ptFkutXGOdLWQtNwEjkrqcm1ZdDA4wtFsRXAdeYY4NgWhMuW34Am4DkejJbB/SFISx6FyoBMFQkZkWVikxvWRJPdEgMAPLQjBsHvQwos7y5hdoljWI7BsvoWeEsVzOyJs21XD3E4HY5MWCOtBtZJvrlqY33Da8cfbv/vmk6+77AMf/bs3n/Mlt1ypNIdGJnnf7NKR7/zX6fqtArheHZ2zAInDem1sGwi1vgRifenpHWext5zb8a22YvOYqLnzDBHsYjsHxzAw4qG7fQjb97ajUiygp91DsWDDYgxtnkBnQaAeCByoUVQEQc7hEuAMYFbCvW2LIO8B1RJHpdjA09snsftAAT0VAcYo8kol8RyBSjFEd3sdLx2YwLaBKso5C5WiJT/H1kEXoWpMJcBzboBivoXRCQ8TtTw8hyOImgClqHoCvR0MfT0hXhocQX9nCREhqE16YIX+qH32/HsXzWGbPvnesQ/e8xSJigUP1/7gK2LJknn1o328Xsv1WwlwcxUqC4HENwxbzZE/ZJbT1qgNf377xludXUNBtGxR5wmOUzxxvBYgCHxM1AQsmyIKLfQUORb0WujpbOGJ3XVsfymPiBPYDDLH3JJjD0FkYMlzBarFEEvmTOCcU0bxN9fkkbMJ8h4HF7IDlOcKVIo+ZneO4Xs/j7B5N7CkV1p6z2WyuysH/ECO8vMcWWbmOA08t9PH81vLmN2Wh8U4ICbQVgxgkQC+z+HYHrq758G1Co/1W5OPh7MWsot/981+b0/Hnzea/sgbl1UBAJ/506N9ZH4967ce4Nnlem0AMALgfwHAo4/+AjYj65/c3Dr/rDPDi7sqjaU5exz3PvEgmvUcussCPVWOC09r4RxxAJ+5dhYi30POJaiWbDg2cGAklJPJCJMldU4E1+EoeRyTrRCTTQd+IIMqlAo4NkchF6CQn8R4s4hGSNEKBMJQloO5NpB3I+wfkbTGsRkoBfaPRvi76x1MjlFcdEqIatHF/DlVXHiGjVxuLXq78jhmfm7jMQvEDZt3FX7OmLh7/Rlvxmc+erT3+tFb/88BPLvWrj0XAO6uT47eDeCeKPIXhf4B/h93bePHLe1bcNqxXVeQcC9mz2lgvBYAUR3gFDnHQW8HUCg28OhWgf6Kg6422WHLYrL18Ip5IY5fWse+3S6CUKYAMCpD5aV8gMc3A5t2erCoznmRZXSFXIjezjE8vMFGwXHBCEFvR4iINCGseVi1cjFm9wv0L+pHR2X7lSsXDry4/LgzaX9vO7UsthXA7Wef1X60d+3rYv0/D3C98sUqANyun7+0ex9cx63uGdj7wN7dDjq7GkHkLfnw+9/FznOJjY4ywfjgUwDZhZBYKBY99HRYoNQHQR1jkwK9XQy9bTW8sKGI8TJHowlAcLhWC55Tx7YBjv2DFP1tAeotgNIc/MgGY0BblSMQDF6hHSedthazuzhct4YPOt4dm7aLr8yZw+0581ego+vcuy9Z4I/mC91Hexe+Ltf/B/gMa05fDwCMArgFAPbt34P2PDacmQ97bEo4oxxPP7IFzZYF12HI52w4dhAsX3HiZ4Jg/4UDgwg6e+s4bjkHWBmzygL9XQxL5jDMmdVEqVrHwkU+LnlTFavmA6MNx+4oV2597LEnPiPg2syyYNsWioUiFi9ZgVKBwbVDen67te9N6/BiV3f/0d5FvxHrt0PNf52sHVvuByGkZ8/e7ZXNO6g4ZWUT97wQYfP2PKo5gd52hoV9BL1dPsr5Jp7fFeLBZ8o46RiO3aMu6WybPSaE2Pdfzl93tH/Kb836v+2UA5kFOv27AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjEyOjI0KzAwOjAwKmvilAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOToxMjoyNCswMDowMFs2WigAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 53499631
{'hecke_orbit_code': 40532396713443808, 'n': 1, 'trace_an': 1}
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id: 53499632
{'hecke_orbit_code': 40532396713443808, 'n': 2, 'trace_an': 0}
-
id: 53499633
{'hecke_orbit_code': 40532396713443808, 'n': 3, 'trace_an': 3}
-
id: 53499634
{'hecke_orbit_code': 40532396713443808, 'n': 4, 'trace_an': 0}
-
id: 53499635
{'hecke_orbit_code': 40532396713443808, 'n': 5, 'trace_an': 5}
-
id: 53499636
{'hecke_orbit_code': 40532396713443808, 'n': 6, 'trace_an': 0}
-
id: 53499637
{'hecke_orbit_code': 40532396713443808, 'n': 7, 'trace_an': -12}
-
id: 53499638
{'hecke_orbit_code': 40532396713443808, 'n': 8, 'trace_an': 0}
-
id: 53499639
{'hecke_orbit_code': 40532396713443808, 'n': 9, 'trace_an': 9}
-
id: 53499640
{'hecke_orbit_code': 40532396713443808, 'n': 10, 'trace_an': 0}
-
id: 53499641
{'hecke_orbit_code': 40532396713443808, 'n': 11, 'trace_an': -24}
-
id: 53499642
{'hecke_orbit_code': 40532396713443808, 'n': 12, 'trace_an': 0}
-
id: 53499643
{'hecke_orbit_code': 40532396713443808, 'n': 13, 'trace_an': 38}
-
id: 53499644
{'hecke_orbit_code': 40532396713443808, 'n': 14, 'trace_an': 0}
-
id: 53499645
{'hecke_orbit_code': 40532396713443808, 'n': 15, 'trace_an': 15}
-
id: 53499646
{'hecke_orbit_code': 40532396713443808, 'n': 16, 'trace_an': 0}
-
id: 53499647
{'hecke_orbit_code': 40532396713443808, 'n': 17, 'trace_an': -6}
-
id: 53499648
{'hecke_orbit_code': 40532396713443808, 'n': 18, 'trace_an': 0}
-
id: 53499649
{'hecke_orbit_code': 40532396713443808, 'n': 19, 'trace_an': 104}
-
id: 53499650
{'hecke_orbit_code': 40532396713443808, 'n': 20, 'trace_an': 0}
-
id: 53499651
{'hecke_orbit_code': 40532396713443808, 'n': 21, 'trace_an': -36}
-
id: 53499652
{'hecke_orbit_code': 40532396713443808, 'n': 22, 'trace_an': 0}
-
id: 53499653
{'hecke_orbit_code': 40532396713443808, 'n': 23, 'trace_an': 100}
-
id: 53499654
{'hecke_orbit_code': 40532396713443808, 'n': 24, 'trace_an': 0}
-
id: 53499655
{'hecke_orbit_code': 40532396713443808, 'n': 25, 'trace_an': 25}
-
id: 53499656
{'hecke_orbit_code': 40532396713443808, 'n': 26, 'trace_an': 0}
-
id: 53499657
{'hecke_orbit_code': 40532396713443808, 'n': 27, 'trace_an': 27}
-
id: 53499658
{'hecke_orbit_code': 40532396713443808, 'n': 28, 'trace_an': 0}
-
id: 53499659
{'hecke_orbit_code': 40532396713443808, 'n': 29, 'trace_an': 230}
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