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mf_newforms • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [930, 4, [311, 187, 871], [2, 1, 4]], 'cm_discs': [], 'conrey_index': 497, 'dim': 8, 'field_disc': 1698758656, 'field_disc_factorization': [[2, 16], [7, 2], [23, 2]], 'field_poly': [64, 0, 176, 0, 97, 0, 18, 0, 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, [4, -8, 8, 52, 117, 48, 8, -4, 1]], [11, [64, 0, 144, 0, 97, 0, 22, 0, 1]], [17, [3717184, -339328, 15488, 7424, 3540, -168, 8, 4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645698466, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '930.2.j.f', 'level': 930, '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': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.j.c', 'nf_label': '8.0.1698758656.6', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{1}q^{2}+(1-\\beta _{1}+\\beta _{7})q^{3}-\\beta _{7}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '930.2.j', 'trace_display': [0, 8, 0, 4], 'trace_hash': 2091160009626642127, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [930, 4, [311, 187, 871], [2, 1, 4]], 'conrey_index': 497, 'cusp_dim': 368, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 618508845986, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8, 40, 40], 'label': '930.2.j', 'level': 930, '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': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 400, 'mf_new_dim': 120, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 60, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -24, -120, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 8, 16, 0, 0, -16, 0, -32, -48, 0, 56, -48, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, -8, -16, 0, 16, 80, 0, -48, 0, 0, -48, -16, 0, 0, -32, 0, 16, 80, 0, -64, 0, 0, 16, 0, 0, 40, 32, 0, 0, -80, 0, 40, 0, 0, -32, 0, 0, 0, 0, 0, -8, -32, 0, 0, 32, 0, -56, -32, 0, 24, 64, 0, 24, 0, 0, 16, 0, 0, 0, 160, 0, 64, -32, 0, -16, -216, 0, -16, 0, 0, 80, 16, 0, 0, 0, 0, -40, -16, 0, 112, 0, 0, -56, 0, 0, -144, -96, 0, 0, -80, 0, -72, 16, 0, -56, -96, 0, -56, 0, 0, -16, 96, 0, 0, 0, 0, 32, 112, 0, -80, 16, 0, -32, 0, 0, -32, 48, 0, 0, 32, 0, 32, 16, 0, -40, -48, 0, 136, 0, 0, 0, 8, 0, 0, 72, 0, 0, 16, 0, 40, 136, 0, 32, 0, 0, 96, -88, 0, 0, -128, 0, -24, 0, 0, 112, 192, 0, 72, 0, 0, -40, 0, 0, 0, 48, 0, 72, 112, 0, 80, -160, 0, -8, 0, 0, -160, 16, 0, 0, 120, 0, -32, -16, 0, 24, 176, 0, 160, 0, 0, 16, -256, 0, 0, -40, 0, 48, -112, 0, 40, 120, 0, 80, 0, 0, 64, 32, 0, 0, 16, 0, -216, -16, 0, -8, -64, 0, -160, 0, 0, 0, 112, 0, 0, -32, 0, 0, 0, 0, 8, -32, 0, 16, 0, 0, 192, -80, 0, 0, 128, 0, 24, 16, 0, 16, 0, 0, -104, 0, 0, 48, -136, 0, 0, 0, 0, -16, -112, 0, -280, -64, 0, -160, 0, 0, 48, 128, 0, 0, -112, 0, 152, 32, 0, -40, 192, 0, -360, 0, 0, 16, 288, 0, 0, -48, 0, 96, -144, 0, 40, 96, 0, 40, 0, 0, -16, 0, 0, 0, -56, 0, -16, 32, 0, 0, -248, 0, 192, 0, 0, -224, 352, 0, 0, -112, 0, 0, 64, 0, -96, 16, 0, 88, 0, 0, -176, 152, 0, 0, -64, 0, -160, -32, 0, 56, -320, 0, -40, 0, 0, 48, -400, 0, 0, 0, 0, 112, -32, 0, -200, -32, 0, -56, 0, 0, 144, 32, 0, 0, -352, 0, 136, -96, 0, 40, 16, 0, 160, 0, 0, -64, -64, 0, 0, 128, 0, -24, -32, 0, 8, 16, 0, 8, 0, 0, 280, 104, 0, 0, -96, 0, 160, 0, 0, 0, 224, 0, 80, 0, 0, 48, 0, 0, 0, -16, 0, -48, 128, 0, -56, 288, 0, 64, 0, 0, 144, 32, 0, 0, 40, 0, -288, 80, 0, 0, -160, 0, 224, 0, 0, -88, -272, 0, 0, 144, 0, 16, -256, 0, 352, 0, 0, -32, 0, 0, -144, -16, 0, 0, 240, 0, 56, 16, 0, 232, -352, 0, 72, 0, 0, -48, -176, 0, 0, -32, 0, -184, -16, 0, 72, 208, 0, -40, 0, 0, -144, 16, 0, 0, -80, 0, 72, 224, 0, 40, 80, 0, 8, 0, 0, 288, 152, 0, 0, -80, 0, 56, -80, 0, -264, -32, 0, 0, 0, 0, -480, -192, 0, 0, 0, 0, 112, -96, 0, -72, 352, 0, -48, 0, 0, -8, 304, 0, 0, 144, 0, 16, 208, 0, -128, 96, 0, -72, 0, 0, 192, -16, 0, 0, 400, 0, -128, 112, 0, 0, -368, 0, -432, 0, 0, 112, -128, 0, 0, 112, 0, 56, 128, 0, -88, -64, 0, -176, 0, 0, -144, 208, 0, 0, 224, 0, -152, 96, 0, -120, -128, 0, -184, 0, 0, -64, -592, 0, 0, 16, 0, 128, 112, 0, 224, -288, 0, 32, 0, 0, 0, -112, 0, 0, -96, 0, -312, -192, 0, -64, 80, 0, -200, 0, 0, 112, 80, 0, 0, 104, 0, 32, -224, 0, 288, 40, 0, 416, 0, 0, -240, 0, 0, 0, 320, 0, 184, 48, 0, 176, 0, 0, -120, 0, 0, 80, 448, 0, 0, -144, 0, -64, 272, 0, 440, -256, 0, 32, 0, 0, -144, -16, 0, 0, -72, 0, 64, 48, 0, -56, 256, 0, 352, 0, 0, -200, -272, 0, 0, -144, 0, -136, -144, 0, -104, 48, 0, 160, 0, 0, 240, -144, 0, 0, -112, 0, 376, 8, 0, -304, -160, 0, 96, 0, 0, 96, 48, 0, 0, 80, 0, -128, 496, 0, 64, 208, 0, 0, 0, 0, 176, -16, 0, 0, 32, 0, -464, -288, 0, -16, -288, 0, -184, 0, 0, 48, 416, 0, 0, -192, 0, -32, -280, 0, -432, 32, 0, -96, 0, 0, 176, -144, 0, 0, -320, 0, 72, -88, 0, -88, 256, 0, 0, 0, 0, -32, -64, 0, 0, -208, 0, 72, 64, 0, 88, -32, 0, -24, 0, 0, -480, 0, 0, 0, -96, 0, 0, -16, 0, -64, 328, 0, 176, 0, 0, 128, 448, 0, 0, -240, 0, -72, -368, 0, -192, 16, 0, 216, 0, 0, 176, -440, 0, 0, 160, 0, 600, 0, 0, -56, -32, 0, 400, 0, 0, 112, 224, 0, 0, -16, 0, 48, 48, 0, 8, -176, 0, 72, 0, 0, 288, -112, 0, 0, -64, 0, 264, 16, 0, 32, -448, 0, -224, 0, 0, -64, 64, 0, 0, -192, 0, 8, 392, 0, -64, 80, 0, -152, 0, 0, 128, -48, 0, 0, 384, 0, 112, 16, 0, 0, 400, 0, 216, 0, 0, 0, 320, 0, 0, 48, 0, -208, -112, 0, -16, 176, 0, -32, 0, 0, -48, 16, 0, 0, -272, 0, -136, -192, 0, -16, 120, 0, 112, 0, 0, -112, 384, 0, 0, 136, 0, -160, 208, 0, 624, -80, 0, -240, 0, 0, -16, -128, 0, 0, -288, 0, -408, -256, 0, 280, 320, 0, -296, 0, 0, -160, -160, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45292947
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 497, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645698466, 'source_is_minimal': True, 'source_label': '930.2.j.f.497.1', 'source_level': 930, 'target_conrey_index': 497, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616645698466, 'target_is_minimal': True, 'target_label': '930.2.j.f.497.1', 'target_level': 930, 'twist_class_label': '930.2.j.c.497.4', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45292948
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 497, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645698466, 'source_is_minimal': True, 'source_label': '930.2.j.f.497.1', 'source_level': 930, 'target_conrey_index': 497, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007817763586978, 'target_is_minimal': True, 'target_label': '930.2.j.c.497.4', 'target_level': 930, 'twist_class_label': '930.2.j.c.497.4', 'twist_class_level': 930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45292949
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 497, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645698466, 'source_is_minimal': True, 'source_label': '930.2.j.f.497.1', 'source_level': 930, 'target_conrey_index': 683, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007817763586978, 'target_is_minimal': True, 'target_label': '930.2.j.c.683.4', 'target_level': 930, 'twist_class_label': '930.2.j.c.497.4', 'twist_class_level': 930, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45292950
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 497, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518616645698466, 'source_is_minimal': True, 'source_label': '930.2.j.f.497.1', 'source_level': 930, 'target_conrey_index': 683, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616645698466, 'target_is_minimal': True, 'target_label': '930.2.j.f.683.1', 'target_level': 930, 'twist_class_label': '930.2.j.c.497.4', 'twist_class_level': 930, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1502975
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 2}
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id: 1502976
{'charpoly_factorization': [[[9, -12, 8, -4, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 3}
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id: 1502977
{'charpoly_factorization': [[[625, 0, 50, -80, 2, -16, 2, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 5}
-
id: 1502978
{'charpoly_factorization': [[[4, -8, 8, 52, 117, 48, 8, -4, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 7}
-
id: 1502979
{'charpoly_factorization': [[[64, 0, 144, 0, 97, 0, 22, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 11}
-
id: 1502980
{'charpoly_factorization': [[[3136, 6272, 6272, 2688, 596, 24, 8, 4, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 13}
-
id: 1502981
{'charpoly_factorization': [[[3717184, -339328, 15488, 7424, 3540, -168, 8, 4, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 17}
-
id: 1502982
{'charpoly_factorization': [[[107584, 0, 53776, 0, 4417, 0, 118, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 19}
-
id: 1502983
{'charpoly_factorization': [[[37636, -42680, 24200, -3868, 437, -136, 72, -12, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 23}
-
id: 1502984
{'charpoly_factorization': [[[248, -8, -62, -4, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 29}
-
id: 1502985
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 22518616645698466, 'p': 31}
-
id: 1502986
{'charpoly_factorization': [[[8, 4, 1], 4]], 'hecke_orbit_code': 22518616645698466, 'p': 37}
-
id: 1502987
{'charpoly_factorization': [[[1048576, 0, 208896, 0, 11140, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 41}
-
id: 1502988
{'charpoly_factorization': [[[85264, -56064, 18432, 4768, 785, -104, 32, 8, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 43}
-
id: 1502989
{'charpoly_factorization': [[[16384, -16384, 8192, 16128, 9860, 2616, 392, 28, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 47}
-
id: 1502990
{'charpoly_factorization': [[[15376, 75392, 184832, -68432, 12977, 772, 72, -12, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 53}
-
id: 1502991
{'charpoly_factorization': [[[-1024, -512, -30, 12, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 59}
-
id: 1502992
{'charpoly_factorization': [[[-7792, 720, 186, -28, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 61}
-
id: 1502993
{'charpoly_factorization': [[[2408704, -1489920, 460800, 59648, 4640, -448, 128, 16, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 67}
-
id: 1502994
{'charpoly_factorization': [[[583696, 0, 369784, 0, 22561, 0, 286, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 71}
-
id: 1502995
{'charpoly_factorization': [[[38416, 120736, 189728, 114296, 38417, 6476, 648, 36, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 73}
-
id: 1502996
{'charpoly_factorization': [[[602176, 0, 346288, 0, 20289, 0, 278, 0, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 79}
-
id: 1502997
{'charpoly_factorization': [[[18800896, -15193344, 6139008, -815904, 56196, -888, 72, -12, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 83}
-
id: 1502998
{'charpoly_factorization': [[[248, 288, 113, 18, 1], 2]], 'hecke_orbit_code': 22518616645698466, 'p': 89}
-
id: 1502999
{'charpoly_factorization': [[[4129024, 2178304, 574592, -102112, 9860, 344, 72, -12, 1], 1]], 'hecke_orbit_code': 22518616645698466, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 6, 'label': '930.2.j.f', 'level': 930, 'portrait': 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Ep8FruS4djD1wJhDXPThvVTCUvdgO5QMIo9lgeCTVOGxY7hxHlFzfPZNAvb5kI2rhuxYd2YTevGbNto2bFJcfl2j7pqcvREm68/6fPwgZjHj0ckqsebXtbhrS+x1NU6Dhyf5ugZzekLCedScB9asNx45Tz/7l3LbF8/xZkL05xfrrHY8VjqSJZ7Cd1BwmAsOHxikaOnVy5/9PDCy/efWNh18NTC529+7dvDez7/4ecbEt/U7W81gy8vd4iNRQp+9f5HD7/kX//OJ+V33njoJf/su0/rxZUNrPSaLHVqLHZ8FjuaxY5gqZOw1IlYXEk4twKHFwVz61f4Dz+4yAv3Njh5fpYzF5qcWdCcX7ScW4g5NZ9woRczPTvipVf3edFl4Ms6gQo4v1Tj7ILm3JJgMIY4NtR8Q7OWMDMVY4Dj52K6fdi50aNZH2OtAOHTHxp2bBqzuKLBOimy0odxDBbLUidk6waP3lAhlEWYMe2ax47NI1YGguNnNInRrGtLWjVB4EEcCwZjybklydlFy/nlmCAYgRfz4iv6vORKwVy7zuJym5PnA84swPmFmPNLMaeX4PCi5YYrFvjlH1xm03SbE+dmObdYZ37ZZ6EjWVpJWO5GLHUTlnuGxb7gbE+wsDzgv/zzMH7bK9pfq8/9QxO0L/2aNfYXlFYEtfbzDZVnvf2tDTJ/9z0fZWZmirNn53/l47fe+bOf/MJDwfGTPf58xfD66w3X7F4BJImRJEaQGIExGmsVzlgBIRKEsBxZnOE//JngV370PNftDmnVZ2nWW7QbAa2Gx3RbcX5RcW5Z86V7a9x2T8wl2wdcdlHM0vKQy7eP+f7XG6JYIbB8+us1LnRq1JMxx84q+v0W11yccKEbs2+/x97tkoNn4MWXQqcHodEEOmR9Ew6crtOoRwQqZqolWOnBTZf3OHwqYO9Ow9EzY5467P6et33E4fOWqdaYpW7IZ77UwApFkiTccu2Am6+znFvxuG7PiD1bPOKozWBYZ9+RGucWBPPLCReWY84vGU4sCc73Q67du8i///t95tozHD87zfnFOvMrHosdyXInodOL6PQTOgPLykBwYaBY6kXcePkyL71sRY+H4SvOPPVhmuteevOOS24xQW3m3xx47KPsfcHbnm/IrHn7W8ngH/yzj3HTC7aq2+44+O+PnTr/b545cEwtrEQsjjSn+pbLt5/jN39qnmv3NDi/OMNip8FSp8ZSx2Opq1nuwXInYbkbs9SLWejAyWWBro+4+colvu8VIbs3NFnpt7mwVGd+yWehI1jqOImw3DN0h4bu2DIYxaxrR+zYaABB4FlOXfAQMmDnBsXuLZYtGwacXx7z2MEW119iadSXefLQLK1mSBh6rJsxDEdw+Y4Rf37HNJdujxmPLeunJFEypFULeOrYiLrX5Nq9MY8fCTm/6LN1XcDuzbBjU4hSEacWwPcsQlh2boyZaUl6w4D+wKM78FjqKpZWYLFjWOokLHQSznVgcZSwY2uf77tlgZsv09S8NmcX2iws11hY0Sx1Bcsdw0ovYrmXsNK3LPbhXE9xfiXmhZee49d/apE9m9ssrEyxtBIwjlu0Z3cl9cbGX7kwesEvT3mHkxe+5C3PN3RW3f5WAfzA/gPUarX6mTOndtz34BPvOHjkzH/cf+gUiVWMIugMBecHijPdmOsvOs9/+alFrrmozoXlGRZXGix3ayx1PZa7muUudHqGlV7Mci9mqWs53xGc6VsQfd76sg5vfKHhos01wrDBcqfGSt+n01Ms9wW9gWA0toSxJUlASUvgQT2wTLctG2YjtDfi8NmQJw4FmLjJ628K0d4KD+2bYtdm+Oz9MS+7KuBCZ0hNK+IkYnYG4shDezGLiw1eel2Xz97bYvdmePDgGI8Gr3uhIRZDnjiccPRUDS19Ns5oZpqCeiDwfYESEBsII8sohN7AstI39AaGlYFhsW8ZJgk7tw1444s6vPUlIZgWiytTXFiqO73d1Sx3YKWX0OnHrKTgXhrA2a5ivptww97zvPunLnDFzjoXlmZY6TXo9n0GI8VoDEFzG7q25d+u23jZX23duvXEeDwaXnLJpc83lPLb3xqAnzp5kA0b5vwD+w/9yP79h37v3vsfEfOLPTkKYTg2DMaW/ghWRm7ZPNuLeOHFF/j1H1/kuotrLKxMs7jSZLkbsNLzWe5pVnqCTs/S6Ses9GI6fcNy33KhJzjbMcxMD/iOG3q8+LKYnRsV7bpHt1cj8CSgCGOJMQJjYTAChGGmNeLgaYuxIbc/2GQ8qHPxVp+brx4QmRXueniaay/xOHiuT2e5zYuuHvClhwI2zlr2Hbf8k7d02XcsYOOs5IsPK26+XLE06HLk5CzX7g2564kh8bjBi6/w2bN9xDDu84WHFCSCw6c07YZGCxgMJcYKEmOJYkAatG/o9C3NVsT2zWNecvmA77g+Zl2zxvmlKRZX6ix33bFZ7go6fej0Yjr9OJclSwPJuZ5goRdz06Xz/MqPz3PN7hrzy1Os9Bt0+wG9gcdgpBmMJP2hYJzUzY5dV9mdu/b89O6LLv7jxcWF8IrL9z7fkAL+lgA8iUMZRcM3P/XIbRcvd8y7v37/Q163LxiMnEQYjoxL0IwNvaGgMxRcGErOdGJefPkFfvXH57l+j89Kd4r55Radfo2Vns9KX9PpKToD6PUt3UFMt5/QHxo6A8t8XzDfhygZc80lQzbNJvQHlje8aMyuTYY4kWhpCSO487EaJy7U2DwT8+ThGpgGl21TXHepIagNeOjggPmFJlfuatKeXubexz1uvKTG4mCF5eU2mzZZ7t+n+Puv6vPAPs22DR4L/Q7LS7Ncd/mAe59MmK1Pc+XFfS50Otz/9DR13eSGSy17d4xA9nnsqGDDbMT5+Yi7HvMYRQopITGWXZtDvuNFIb2+YsuM4bpLIAwbLHUaLHUCVvoe3YGi05d0+9AdJHT7Cb1BQndgWBlYloaS011BZzjm5r3z/PKPLXPDJe7i6PTqdAcO3L2hZjBS9IeSwVCw0k9Y6YZcc+2NUZjof/Wud/69Q61m/TOB75nnG1vPe5AZR32SZPiDF07d/5uLF/bPnjnToVWXYCVCWIQAKWKENCAEAqdBpbRIqXngwEZ+4X2at9y8xDtftcTurSHnFtsEfp164NMIPJp1Ta8uaQ09ppqawSihP0zYOHYXTm8UsDRf49RJSxgbTp+LCQILCHxl0VIwGCoEHvFA84Jdgj1bLDu2DhgnPT73gOKZQzO89vqA6y5f5oOfs/iiwa6tAx6/V7F1WrG+PaCm6oSRx4UeNGuabRsFjz4Tct3eOq+4doEP3DrE91q85iaLFwz48v0hn72vydNH61y0pcGuzQlzMyG710dctStBKYNWFrA0goC56YAw8ugNfJ486NEfaQZDRX8k6Q+hP7L0B+6794YJ/aGlO7SsDGF+oDi/bGlMdfiZ18/z3TePueaiJmcX2nT6NXo5uFUO7v7IkdAotISx4Ct33+/Vm+t+c+PGTUuvfeVNP7vSGXxgeqrxfy7AR6MBSSJ+7NSR+3715OEvzA66PTwdUA/c0musABRCACJBCpDCddIoaVEywZeSxw/O8ciBJgfPXOAtL+nzkitGTLfaLHUaNLs12kOf/kDTS0/2cKQZjDWjsWUUGsLIEkWWOHH3MPaxBqQSeFpQ8wXTLcFMCzatN2zbOGD9TIfPPwR3P+IhzRSvvd7jBZf1uOfpiHDU5uYXCDrDIRcWm7x4r2H99IC6DhjFivluhDKCF+zVNFpjHt5f4+XXTfGia3o8vF+BneL6K3x+9E1LfOnRkC8+0GTfiRo75hSbZuvMtBpMtaAegKctSoKxsO+oIEkEUSwIYxhHuO84ThiODaOxYTAyDMaG/hC6Y5jvSy70YGxGvPraJd78kg4/8BpDHLc5t9Ck26/RG/r0hx79oaI/VAxGgv5IMBxbBiPDcJQQRu44nj9xjj//q8/PYs1vvOU7X64H/cH7Gs3nD+TPG8BHw2WUMD964vA9v3r8wJc2hGEXT3v4HtQSgzEitfsEQiiEEChJCm5QyqKVxVOGuidYGNT50B3b+PIjXV521QrvevUKV+3us266weJKg94wYDD0UmC7dP4oFIwjSRQL4tgt9ZnFqKRFa6j50KgbZlsRWzcMiOlz8HTEh++qceRkk+mgzo1XaF58dZf7D3S4/ettbrqkxo7NA/78DoESAe1WxEp/jLGgBMy1B3R7Piau8+aXXeBDn22w53yNN940IIwWueuJdURJjRdesYE33tjlku0dvvzwgMdPNnjsqM+2WclsW9AIBL7nLkIpQAiLsWCMJYrTizWyjCN3IY9CGIbQGwmWx4KlHgg94tpLV3jXd6zwsisS1rXrLHcbdHp1eoOA/sgVqmUrwWAsGY5gkF04oyT92y4WUFqxvNLhw399+wZr7a++6XUvtRfml/9ow9zM/xkAj87/BscvXMbS6Vt/KBwP37105un1khUCXxPFiTtBFqzLR6YSRSCFREmNlAlKiXR5NnjKEmhLXQuWR4rFzgwfubPJfU/2ufmaFd71mhWu3dNhXVInjgMGoxr9ocdwrAkjRRRL4sR56cY6CSSFJfANjVpM4If43pjTi2NufVBy6JTP0VMzKBOwZ7PP5bsV11/WRQXzPHG4xdbpBldeBJvmllnqtrlqqyQ2ls8/EDAeSKabMa974YjP3BVx4lyLSy/2OLsy4qkjHts3znDN7nnuebzHvU8JxqHPZbtnuWx7wGXbehw+u8Sh0/DAMw0OHmnS0IJAS5qBpeaBlC6ostZdrHECYQxhIuiPBd2RoBtBaGKMHXHDJV3e9R1dXnZVwubZgNFoisVOjV4/oD/yGQw1/ZGTJMOxYDiSDMeub3Q0ThiFbmUYjg3j0DlOUQwGycmzHT7wV3dsePLg+Xe3Ws34jz7w6Q/e9sQif/UbP/R3F+D/4tf+EL3hY7S7/ICMT/z2oHNuuuZpVMsnjC06VGSl9kLgwCYlUsoU1AqlBFoZtErwtMDXBt+zBJ6l4SdM1wS9scdyd4aP3d3mjsdGbJwZ8I5bOly2fcRo2OfK3ZbtmxTjyCNJijS/ez+DpxOOn7ccPSdYGRo+dU+D0wsz2NBjpqbYsk6zc5Pmoq1w5Z4uRi7wns80WVqa4qbLNFfu6fDlxwQi9tgwI2k2YgaRj7QutlDapzMSnF8SXGEb3HJ9j689XGfLep+brpzlH75pgT/+bI8H9jfpjzwWV1rs3lLn0s0DXri3x/e8vMeZpSU+dU/A4iDg+FmP06d9PCWQUiIQGGtJDETGksSGmXURV18xYDyOuGz7mLfdMmbDlGK2FRBFNc7O1xgMfQZjt8oNc2BLB+6xYDTGsfU4YTQ2jMKEUeg0+Di0jCIYxYIwgjDRXDjZ5ZGj96/fvmvzb7/wmo3RX/3G5X8xf+w/M7frX/zdA/g//7UP8+JXvUP88M/Jt29sPvned7zkscblO2t0+w2GocGLNGPpIaVFSBdECuFcAilBpSDXSqKVQGuBpxN8LfA9Q82z1CNLI7RM1RJm6oJBKOmFTY6eavLrfzELJkbEMddfPWD3ppA4BmMN1rokjhQCqQTa89l/wmffoRrNmqblS9Y3BHPrJBtmNVvmFDs3J1y6c4VELPI7H29z/MQ0N+31uGxXwjDu8fUnAqbrHuumLNOtkEbdSSFjJJ2RYqlvWewkdPp1XnrlCg/uG/DMCcV0u8YLr5jmx9+8yO9+Ah4+1KQ/tKz0NOeX2mxa32DDzIid60b8i7cPaDc6PH4U9p+UeJ5FKYsQBrDufxbiGHZtSrj5qpgk8ojiAGsbjEKPcws+w7Fb0UahyuXbMBSMxoJR6Fh7HFpGYcJ4bBiHhlFk0tfSewSjSDCKYBgL+pFkJYLBIGLDyiPT3339+vf+1rn5eCX8/3xk/ui0ndv9E393AP4f/uuH2Lu1re7+/J+89fipxQ9+8N6l2mPPtHj3T3XYuz3GGzQYDgO0MihlkMqgpJcGkhalVKq3JZ52mtP3FGNPMg4NQZgwjiz1yDCODGFoaccwjgzjGMJYMIok4yQgSmo8c6jJY89AYi0O2k4bexJ85Wo+WgFcuRnadZhqSmZainXTmg2zsGPTmM1zK0R2id/5+BSHj0xx3UWKi7ZJ9mxb5itPxZxfnOL63ZKZtqHmDwlkgFWCOJEIa4mTkOV+jfOLHtddVucFe3vc83CNjTOCRq3FdXsNP/PWRX77E4anTrdY6RtWeor5Zc366SYz7Toz7SnajYi5ZsTO60ICL8bTMUolSOGCCYu7qKJIcWFeE8WKKFaEkWIcpY+hZBxJxqFkFErGoXABaigYh5Zx6I7rOEwIw1TTR+71UVgCdiToR4JuLOiGlmg05gU7F/lPP3WBV152trG02PhgLN5rjLjo4yf3fTDZfvn/frnyvx3gv/l7f8lU01cHT1x42+kTZz6wb//xWtCe4vMPCHxt+eUf73DZtgStYtQoQakELX20tCilUdLiKYunFZ62eKHE94Q7CZ5g7CvCyAE9iixhnDhXJC7dE4gTS5IYEkNat0IObiFASdASPA8CLagFgkYgaTYUUw3JzJRgw2zMzk0DWs0VPv61kLuemGVloc3VOxQ7N3tcsn1EIlb4/AMNmp5mbkbRaox44jA8fURz1XbLYKy45pKIq/dYzp1NmF/2GY4avP7GHl99fMjB04pmXRL4ba66yPDLP7TInU8N+cyd61nsWnZuSFjuaKbbiqmmR6vh0axbaoEh8A2BTtDKSS2Z6j1rcQkrI4iNJE4EcSyIYkkYC6JIMo6c8xJGgjCyhCGMo8wdKYhjHJXvDtzDCAaRoBdJujEMxgaiPtftWOKXfmyR110vWO5Os9w5XsNr/Sle/YetXP/Rpx/+UHLF9e/89ga4r63sdLvvPHXq1O8fOHisNl33iIUksS0+fa8gDDXfe0uHt7+qx2w7pjeooWSC0glae3g6wdMaL9IEWjHyUrbxJKEvCCPhTk6kiGIII+kchLiw/eLEkCTOXUhs6pTkBVkilUBO9vhaEPiSWiBp1gXthmW6Zdg4O2ZupkdsV/jIVyV//Nl1bKjVuHqHYMdmj11bDDs3L/Pxr1uWlmpctkkx04ZWI+L8McmF5QB/N4wjwdyUZHoaDh61LHcN5xZqXLKrxquu73Hr3TXWtSDwfZSc5qo9gp944wU8eYFP3zPD06drbOxGbJiOmWoqWnVFoy6pB5rAh8ADrZ3D5GzVEshxF3ZiIEkEcUIKdIgSSxhDFCWOFCLjgsYU4GEE4zhzZVILMhaOtWNBN5L0IkM4ipgKenzf6xZ4+y09Xn2tpNNrMRjViJMa3c7xGl7tvX7T00J4f4njmW9PgH/kY58iScwPffXrT/6Xg4dOtOuBwowtbc8QW0VXNPn8A4qvP1nj3PIC/+R7+sy0I2qByzh6KsbTnrMPw4TQ0/iRYhxJQs+l0h3jCMdEKSvFMUQJJIlzEoxxAZcxNuvhTMHtAO60vcDTDiC1ABo1Q6seM92KmZsesn5mha89E/Knt9fZf3SaXVMeezbBtk0+2zbCpTu6DOIu9+9rU1ceczOK6RZMt8bMTMX4vkYId3ENxz5L3YiVgaXTj7mw7LNjU4sXXXaB2x8YsP90m0YQ4SkfIabYs1XxD16zwA2XXuBPb29x/5PTLPY1G9ox042YRk1SrykCTxB4Es9zsYpSpPahQ7nF9bAaQw70ODHp6pZai7EhThy44wjC2Bb3yLkyo9iRyiAW9CJBL4HhMMbEQ9bVe/z09y7y//3+AXXfZ6XbZDiqMQp9wkiTGJ/Owom2P5K/01p3lf/1r372j1/8sjd++wH8/HwHqeSP/dGffPxX9x08tc7ifGxPQ91YjDUIIem163RGiv/yVx77Di/z5pf3ueXaHhvXj+n26ozGAb4XE/ge41ATRM7eC30H8CiShLFbdqM49bQTUuuPlLmlsx4zcLskZcrcoJVLmPiepeYb6rWYVi1mpj1m8/ou5zsDfu9THp9/cJal5SYXzwl2bBBs3eCzbYNg95YR2l/hQ3dpjpxssnejZKYlmWomSDnm9Lwl0BIpwFpBGGl2bujyAAndgWK5azm/VGfvthrfc0uHj37Z59j5AE9HCOFhbJMolly/e5md39/l8w8P+PPPz/LQsSZbZwTrmwnNWkLNFwSewPdcrKJVarFKkddkWNxF5uxYB2xjyEEeJ07SObBDmDjrL8ySR7FgGEMvlvRjGIaGeBCybX2XV1y3zHe9fMDrbzBo0WB5pc4o9BmHAWHk9H9iBErBuH9i3aZNW9591Y1vVUm0/D7lzXz7AHxhcYXA1//wI5+661e/cs+TG8aRdTafAF9ZbPquUoAWgq4I6IaaD30l4M7He1x3WZfvf7Wrgls3HTAcBQzHPoHnEcZefrDCSBHHiiiRxLEkSgRxLEkSUaoRd/ozVyWW1Ft3ySKVJot8zxD4CfUgplUfs366zzAa8uUnLB/+yhT3PznNjO9x1VbL5lnJxnU+W+Yk2zaGXLR1mcePDfnUV+eYUpq5KUG7KWg3IjqDhM9+vUbLd2UHxsJwrHnzzWNuu8/VxHT6hgvLmm0bWrzlJX3uf6bHvoM+zSBGSeFAbhqMQqf1/8GrOuzdfIEP3dnl3qenObFcZ1NbMFWzNHxDTRt8D7RKk2MyY3LIyo9MKtWMKVa4OAW6IwiIEkGUpMBOBKPYsXY/wcU8YUizPuD7XrvEO1/T5fq9CRtnPAajJp1eQBj5jEOPceTIKQO4lAJfJgxWHttw+sjcr27a+SozHnbeH9S/9WPlvqUAX1paYbnTR0rxg7d+/u7//MnPfGldr9PB91wGQuQgsznItLD4QtBTmoHX5FQ34Mx9De57os9Hr+7xtlcNed3NI2anfcJxwDj2CCOPKNZEKdDjRBEnacImKQBubMrcpqgpy+pblHR1HFobfC8h8CPqQUirPiRhyJcelvzFHdM8eXQKEQXsmrFsnrasn1bMzfpsWi/ZMhexY1OXk/M9/uAzTeJxnW3bBNMtTbsJ7UaE8EK6wybTLYsQLjsbxZLZQBGbmF7k0xskLHcVp+frXHFRi5/8eyu8+y8Djs830SpKLwxNHNcYhZJN6wKuv7jL1Rf1eer4aT78lTq3PzTNmU6dZqBo+dD0LL62eAoXsMsst1DcDGCNu+gSI0gsxIlw/nkiCBOXJBomgmECw9gSxzEmGrOuNuT1r17hHa/u8bKrIqbqHmHUZLkTMI58oshjHGnC9O7cG0dExgqwiuWlHoPhVzaMI+8/b931orizdOpPdNCm0fjWAf1bCvDBYMjsdPO77rrngd/91K1fbI8GHdpN1/aZZdeywMfJA4tO3Qs/MdSUYKB8BrHmwrjGp+9rcteTA174xT7/9Ht7XL6jy4ZpRbuhCSOfMPaI4wLkSQZwIzFWYi1pn2YG7jTVr6xLFumYwI/xVEh3GDHfjfitj9c4emGGh/dNY43Purpgw3rL+inBurZi3bTHxnWSTetits4NWDe9zOcfMTz09DRXbxPMtCSthqTdMDTrIcIbEwQardz7WwtJIhmONcNRRGwEvaGh17csdT3OLbZ58aV9XnTFCh/6Yo36kkLLyAHSauLEJ4xcj+f66Ro37Olzw8V9HnjFGY7PS/709mkurDQ4tRjgK0nTE/iZDJPu+OdEnkkVHJPHVhAbiIxgnMAohtBYSGKII6Qas2VmyNU73fm48fKEdl0Tx46xx5FPFOuUgBRhWNiSUSyJMvJJ0nODoj8c0HvsjnVx4v3u9ouuXw7Hw099KzH5LQP4088cYOvWTer9H/iLi5946kAKbo0xWX1Eas+lwC7ALZzHHVuCRNBQgqEWDHTAMPFYDOvc/tAUX3t6SDMY88Nv6LBtXcyuLUNefGUPLRSthkYIJ1dcVtKxhLUl5sYlkJRwnrklBhnz1FHJg89obr2/xVMnWoRxg5ZWzNUts03LTMM6H7ytmZ3SrJsWbJqN2TI3ZPPcMnc9OeY9t25g87Rmrg3tpqLdFLQaMfVgzNcOKEahxms6UFkrCGNJTSuu3TvkviemXeHTMGGl67GwEnB+YYaffON5Ti0sct+jc3gSEBEGiFMAjUNJf6iZadWYbjd50d4Br7h6wPe/cp5nThpuu7/G/c/UOXCkSSw047FiECmUkAghJgLPNCdgDbGxWGPwRMKUH1Ij4kXX9dm9ecS29RHvet2Yui9p1j3CsEGn5xNGHnGsUsJRhdceK6LIrax5SURSko5WYIxipd9j+PA97bNnz198y3e8XZ06cSjZtuPivz0Af+aZfWzevN5/4IEHfwSS/9LtLNFqeilbZZWBjsFdd4zThrGyqMSiYvCkwDeWILbUEkFDpyySeAwTj0FSo9dL+M8fmsHGERvnRlyxY8S6qZi3vWrIjg0hUSRSvS2hxNyk+lNKg5CCj91Z5/HDTYTWHD/T4PT5BrW6YioQTDct7ZqhXYNWXTDVULRbipmWZt00rJ+O2bhuxNYNXRK7wse+2mbYb3LJNku7oWg1JK26oVWL8byQz99XYzyQeBtApmCKYkmzrnj9C4fc/YihP5b0hwndgWalpzm32ODy3S3e9rIuDz/V4PhSCyUNEKV62SNKnJs0CiX9kabT92nVGzTrYy7fNuKmS0ecvNDh2NkVtJfw2BHNR7/SQChXuMbk/EFrAAPWEoUJOzfGvONVQ9a3Ey7dadm4DpLYYxy2iGOP5a5HHCmipFhBoyh9jFUaE2WFbA7csXH+ewbwxIiU0RWD+WXas/F/eeKxhwYbN+3+4wPP7Av3Xnb53w6Anz59isXF+b2nTp76vccffVjWa5lcsA7UxqbPBYm0JAoH7ESgpdOJUWLxEoiVIEgsNWOJE0FoLGEiGBvJOJGExiMyMN9v85XHDZaET97vRjZgTXrPsnipRSayikSJVIo40kij8bSkFcDuOUvTMzQCQyOARiBo1iWtupNDUy3JTBvWTcXMzYzZMtcjYZnf+usa9zyxgT3rYKaRsndD0qrHNOohzcaQer1BoCRKphoct5pFkcdoKBiOE3pjRX9k6A2Na5lr+pw6P8VLrxjzM28/z29+VHNiJUAIg7URJrFEsUcYSUZjV8baGmqaNZ9GvUYjaFALIlr1kOsvCfG9iBsviXnXqwdoFadJIIMQtirKU0lnjEQISeApwGc01iwua1e3k2QxT3qPZREDpRo7Thy44yQDt8jvSSKIjSBJMoA73R8llvvue0gOx+r3Ot3hV8fh6MlvBTb/lwF+91c+wfS0qB85cvCthw8dFs2GdhF47DKHmf2UqOxRkCQWpUAnmRcLOo3ekyyiTwSxsUVkb5w+dHdBaCSxlSRGE5mAJLW9yrc8S5m6NVqCp6BWt9S0paYSAg8CDTXfUg8EdV/SqEsaNe0A3hRMtwyz7Zh102M2zPbZsmGR99xq+PPbN7J9WrG+ZWg3Fa2GotmARj2hVY84u2g4fDag5jtZBlksIhiFmt2bDJvWj+iOfIYjm7K4ZKWnadVrtBrTvOvVFzhy9hzv/dRWtNRYDIlJiI0lijXjUDEMXVHUoCZpjDT1wKMeJHR6LsbwvcQlzLwELV2jhJQunS/SO2kFJ4gU5IJOOrHAmHR6QSIxRhKbIt5xwC3JjyR1s5IiY5qYMriLJFP2cxxDFLtirgceelTs3NV767ZtOw//xYc+NvyBd37v8wtwT3v+4sLCzw+6539ei5Fs1NxOBEpZ4likwDUTIAdtRJ6I0Yr0ik4BnzM+pbst0uxppZzzckUeKJU1N1BqkAAtjdP8yq0YnhJ42jrfWAtqgaTmS+qBol5TtOqSVsMy1UyYbsXMtsesnxmwY+Mi9x8Y86E7tzBTC9jYMrQbwoG7LmnWDM1aTKsx5v798NgzDS6es6nuLdLmw7Hixkstl+wY8sCT0wzGluEooT/UKcg9GrU69do03/fyJR47cIH79m0CqzAmceWwsSWObF5PMhxrGiNLvaao+YbA9wj8hEAbtE7wtMnrfVRa0CaFBeGKkzNaKIJzkerk1JEymf1asmJTYMc5iOUEkKusnbk0SWpFZmSY3Ye9vrTyzL8Pgrrfbrd+BQifN4BH4UCG49Ev3fnFv/jZzvJZv+Z7RQIlEkRSECcWFQsSlQJdFcmFRFl0LmNErtEda2TZRxw7pyA3aSYuS1ZYayll3isrbtWxSdPxSjiA50VbLvsX+IpaoKgHgkZd0Kpb2o2EqWbMdGvMuqkhW+aWuW//kF/6wEZOnJrmovWG6Qa064pmXdGsQbOWUK9F+N6IzsiipMJTFimLT+YYTRLFPu16xCA2DNI668EooTeQdOqKRi+gFrTYtSnil3+kwy9+UPL1fRuxKIw16QoZE8aGMFKMQsUwkNTHipovCXxL4CsCbfA85/drZR3AlQO4SmWKELbaoJum9m1KIjatZUlSwCemeHTnTOYlADnAc42dfeeCyOKk7Lkb4tiVBMQxHDt2yq/Vmv/qH//E671eb/BvW63G3zid/zcG+GjYJY6jXzl64M5/Nugcq9UCyTgyrkkB12EiExy4pZMbKgs4J7S5MQXIy8A2uUcLNm1hS9IS0PKdCYCnsjsNLJ1EUdJl0LQiTcsLPC0JfInvKWqBG8lQDyzNmqHVSGg3IqZaIbPtIVvmVrjvmQG/+Mfr2X9ilp2zzmFp1SXNhnTsXbc0agmNWkSUhPzZF1tIpfCkRYnCJjQ2W8I9/sFrl/nCQyG9MGCQArw/VPT6ik6gqfkBgdfm0u0x//FHF/l3fyy498mNGCtJjEurR7ErNBuHhnHNlbsGgaDmCQLfZTZ9bfOMrVYGqWzaIWVdo0QG8CLlCWTNJy6X4NyWNJDPAJxOHTB5ci0zFshX3Hx1Lj1mq7QrDbD5dwhjg0Hx5L5jtU/educ//97vfo1YXun+wsz032x61t8Y4CsLh7DWvOjcyQfrkhG+56VFTAaQLnsWp25JggO3ElVQJxajyMFuSgxd2Is2t5SstSlrk5U7Yyc+VwbwrAZD5fXkIq8jdwCXeJ509Ru+oBa4mSeNIKFZd+BuN0Om20Pmpjvc/8yAX3r/LE8dX8+2GcG6Zkma1DTNmqtfqddi6kGI5405vTiDpwRKmtSWK4LMJJHEsWLzjCWOI7pRLe2UcT2OvZGkPlDUfA/fq+HpKS7bFvMf/+E8//qP4L6nN5AY6QCeWKI4SZncMA4MtVAy8lUuwTzPlUloZdM6FWfTyswbTx/XwLiTK+mpNYg8OWTS5FCWLU6S0utleZkDu6gJyuOzTGrFKcjT54PRmC/d+UD90kt2vUjIv/mOE38jgJ898lEatYXGU4/c5SfRMtoTJNZgtEydC4MUris+swSTXGc7RjfGkmhysFeBnckQmwPdZnIke/4sn02KoojKNUuIHNxKyrRRIpMnUPMg8A31mqUeOP3cqEe0GyHTzSHrZzo8dHDEv3vfDE8cn2PLtGKuaZiqC1o1SaOmaNQF9Zq7OFyqP+S+fYL+yKemSC8yp8GzJoTECKJY06wpXnxlj/ufajOInEwZjhMGQ0UvUAS+wvf8VD9Pc/l2w6/9+AV+7g/h3n0biIwkMiZtli56MMe+JPCNY2+vqKPXKruTypRCxsk0y7sWyLOkkM0AngI+yZ2XooCrvPKa1DgoVukqwcVpUVyUAj7KCuQQnJ/v8Acf+LT/1u99feN3P/iZwT/5oTf/7wf4J758kC8c3DV9RftP/kDJ5ZdrFaGlj9E2B6BjUccIcap/HbDTK1lnSxoYJdZm7RKgTQ7soimYVHvnJ0O4giIhU3CnRUYqBziotGLQ0+B7uE4gPy2wChLqqbxo1cdMtYbMtLo8emjMv3vfDI8d28Cmac1cwzBVh2ZN0KwrGnVFI2fvhFoQ02qMuOsxn5VOjZmZIk2eAcak2jRKFBvWKV79gj53PWhcF01oSiCX1DxJzdN42kfrOlIaLt9u+dUfv8DP/aHl3v0biIwmSisAXdmrY/Igknl1oa8lWqdFWFKgtMjJJ/t82UWYSRWRVaVRJIQm76b0aEzpMV95S6u1LQOc3EYuypqLwNMYGI4T5jvDly9cOPhHP/2Dr/2pn/7BR1eEuPZ/L8DDwQUacuXn7nnoxDuv2ryI7zXTGSVO22WNwo7FBco4kLugstBlRpV1dgr2NDmTsXclkJxk7hTpWUYu194yq6ArdHdWMagVrj5DWzzPNRbXfEPNT6jXYhq1iGZtTKsxYnaqw8MHxvz8H67n0SMb2TDtsaGRMNWwKbhT9q5J6oFj/1oQ0whCYjOmFwYIJfEyBs81uEjZLS0Qizya/siVC4Q1ZjKQjxIGvmPwwJeuJl5nG9BartplefdPnedf/r7h3mc2EhnNOBGEiUlZXFCLDIFn8T3Xu6rTuEMrVyLs2gDdcXIyRZRWQHdU8wuzHOtMgDsnoRIxlcGdgb1g8qLAq8iR2CIIzaQokuWleQj3v3N5adfhcRj96/+tDN5ZPkl7esvOz3zyT65eHwxIkhZheoUrabEKwOTsmUiRlkeKNLBMtZktgTsNUmwWTNoiECuYoshK2vKambF2OajMltu0xkWlwZTWaWdQWoSUVQ/WvCTVzRH12piZ9oCpZo/79sX8wnvW88iRjcxNaebqCVM1SysFd73m7MQM3PUgoebHtJsh+45Z7ny4iS8lnjJpEFd4FNnyHSWK2GhuuT7i4ov6HD5RZ65B0ec4ThiMUhbWCq2LNj4hLFfuhF/7iQX+9R8avvrUHKOo7pJhsaWR1nAHHg7kOlu9TCpRJFIl+QqnpCgBXJRAziq9UoDcVgFuC1mZvbZWPJVntpPi57JmN6ln4muLEB5fv6+HjZ+5+kf+4Y/tPHT01PGLd2/71gN8aeEcypvadfTAA/+toRa/K/IHJFYjrEknTbk/JgQI4wCWSRJj0gTPhDtSfizsqHQZn3RJVrklKXNPgltYpMpswbTmRaWsrS2+NnieIfAMgR9T82NqQUijNmZ2asByb8DdT8Kv/cUmHj+0nvUpuKfrllZd0KyJ3Ct3zotx7O07gNeDMWGSMBrWqCl3kUlRWvrJNKtIA03ttLweMw4tw0iUAG7w/QTf03ieRCuV96pmWchrdgt+7aeW+c9/GXPvM+s402kzakqmE0srttTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0pBQra6n8tgz20mvZeXZypcTitqzfi3+XrcJnzg05eHTxu+65597kJS96wT8/derMsW3btnxrAb5w4QTar990+tSBty5cOESjrvKgRAiLsJnlJFCZRypFHlEXHiq5zeSSNLb63Fb1XpW1q6owOwlu3EPG3javVCyGA7myWE+bdMxEkoM78FNwz/aZXx7yq3/W4FNfn2OhP8PclGSuloK75nR3Iw0s64GkEdiUwZ32rgUhEHLHoz7Lkc+6gEo9NqK6QiWJa35oB5pXXTfgvv0hvShgKu9YN/hjV6vuawdwrSxKegjpEjRYuGy75Df/aZfb7hvyK+/fyKmFGYbTmmlf0IoNjRiCyI1e9pUbaORlgaYUeRCcPZYD9fKFKUTeK1KweH6uSmAvuV2mJDXLhXeFVqeauCut4tnxQkqeeOogO7dvfOvsdOvP+oPBsW8pg4fjAZ5fv+TIgXv/n6XzT1KvCTzPoEuZsNxKyjJfBgd0WyQF8mi7/JhLEFuRJhXWLsuS9EBnzJKlmzMXQGUAVxYtHbC1cuD2dILvJfheTM2PCPyIVn2I1gPueizhjz7b5tZ7NhCaNhvagvU1J0ucBZj55Cq9i5S5y+wdofWYrz09zSDUbG5kn2eSwTMrTRLFipqneNHlQ2LjAD6MhOtazzrXx8YFh1qkLO4uZJEm1y2C9dOCd76yTys4w/s/O+Tup9dxLqozqEnasaWprQO5TuMQZdO4JHO6smMoitpxCZKCxcs7CpZPSc7mEytvOY5ydflUGd1OAp0KwWUNItaCFIp773+SKy7f+/+87jUvfaTfHxxsfhMj4b4hwAfdo1w48Vn8YGpL1D/4ioZ3ASn9YnZJ2bCzovBJU3BXwJy+lp3gitam0NoFsEvWQ9m+yleOTJpkWTlXMehGu5m05jsFt3K1GIEX4fsRNS+k0Rjh+wP+4nbNr//JBg7Pz+IFNTa1BLNBQjuwNANoph329cBlO2tpQsjVryTpSuDkyUI3oR/6+ErhS5sHmJS+SnZhJ2nNRhh71L0Rm6aHrAxaDCORjltzsYLnJanNp1K7U6VzY8qBq6t8/K6X9bnxinl+7U9H/Pnn51iKmwwCj6YnaWtXgxNo8BV5M4TOkj7pyidzqVIkgMqkUhUra7E5a4CdkjafuJcy08aWV2n3mAg3AOrQyRW+/LV9r5jvJFsWlzoHn9p/gisv3fG/BnBrE+a2vWJXd+nJ94w7j9NqGCwx1hbyJANjAVKRfuhyLUOWDROlAFKUrtoyuEulrqWbwBZsIgsrMge4tChpnKOTM3eSgjzG106SBP6YwBty7HzMe29r8omvruPI+RnaDY/ZGswECa3Apqn3DNwyBbfMk0K1VHsHvrtw2s0xH/+a5uDxOrV0AlfeLkaB8nyMg02Lk2LNZTvhTTf2+KPPraPf0LTT2SNBmMYNyqB1NuGLEsi9CsEkRrJjveQX/v6Aq3ef4g9vneXIuSmW4joDT9NUgkYKdF9ad+GkLlO++mXHNbMPcfq8yHTa1T45WQLO5kA3k6CfZPLciRGlkX1Uzn1mAQNEieYrX3+GG6+74j3f86aXvGFxqfsNpcpzAjwMEzxPcuH0g9s6F/bticMVAt/DEq1xIRTAzECdMXJey2BF7gNnF0KZvfPlLmeFjLZtRQdmwHaPNrcplTSpa5Kxd4KnY9e5o2OCYIyvx/SSkN/7iM/7b9vE6cVpjKozO6WY9S1TvqGRMncjT9/LtE4llSapd56D23fZy3EUcvBUQD8MmAlSFydLOmWuRJaFtaWalEjTbmp2bwtRwYhe2GLoC+qRG4nmp/LKSyWKzlwPoZ4leFXMTQ34ye8a8NZbzvH+27q892PrWBg2GeoaNa1oaEFdufp7P+32UVKk2U3S1dCuzeRU5Upx/tdgcybAXSK1AuBMALzw3qvVvIr5hS4PPLxvz2w72PaaW244ZqII6Xk82+05AZ6EpxC2Ped74iPdhQc83xdIGRUnSjgQFl+iBNqcqTOQy4nX3X9rKoxdETyVr1bYgTYHdkWeyLRKTiUO4DpBqwTfi6j5Ib4X0hmFfO1xyV/c3uZjX13HKGnh+z7rfMG0b2j6lkZgafgFuGuBJAgkQSpNXGIodSZSgPuey3wePWu5+6EGYeQRNO2qADO7FelsV4oaRgrP07z6xh4f+lKf/aeaDGtuNMPYs/gxeJHBCw1KSedbSzeQNB/uQwGexEhiI2kEmo3TQ/7l9w24fMeYP7+9xYP7ppgfNhkpH8/T1LSgLiHIBixl9qq06dBTSiCv1qxMFmeVHnKCMhNAN3atx3JFaDooxZbXieIPS6n53J2Pea991Qs/cm6+84LlTn/+uTD8nACvNdoy7D15U9K5bWq2vYQtbauZSZIywLNaYlti8EJjOxYvy5hMluRfpsTglcIf16PjmDxPKZu83NPpbotWbjKWUkkuR7SO6PQj7nlS8IHPtbn94SmWOi1kvUarrpj2LG3f0PAsDd9S90lZ2zF3PZDUfEXNF9R80go9k4LbEHhOfys95sApON2pucRKqm+riZOifsb1Qaa10kYShpqNbcEl24c8cSJmEHmM0xnffogDn8om62aJGpATnTnZxZPZkFHi6sPf8eohr3vhMl9+pMcHP9/mwX1tFnsNOtKn72t8JfClIJC4Hk5p0SKLa9IpBCIt+2U1g6+qX8lBWpYoDvBmAvB5XJaCOwc/xTSEIsknOD9M+I0/uWPqH33fy2+65cY9n+M5hgc9twaPTgRaJr8vk33NRn2IsbpIuuQAnQCtFRPsPfFvTKZDSwAvXfHVo1aWJpZygb6TJSbV3MZNw5IJfuZmyIj5XsxdD2k+e0+LT909xYVuE1Gr4bU82hqmPNfJU/dIZQfUfZHeZVpymupuXxBk7J0BXMf4fkzND7E24o6HA46frbN+VuBJk+pYUTT6ltjIVspNFcOxx86NgldfN+ATXw/pRx7DSFDzLH7sWNyN38hWKZX71QhZkSnuLotGBeP89now5h2vHPIdNy7yya/2uO2eBnc93uJCp8FQ+Ax9jfYUWgg8KfCkxBM2lVoWhShJw6p9OPH10s9SXHTZo0XkAM9rVkiLtlKAJxm4LSQ5uG3+aBLLQ08eaw7Dl/3+IwcuXA4M/6cBvtwxLA+HPxAuf3B6tnEOAjeHJEkUiZX5QVwNalkFvCmztSjp7TLQV6ut8jIoSsB2JQBOkogU4Fon+DqiVosYjRP2n4ZjZxQf/uIUn3uwzYXlJng1dNujoSQtz9LShrpnqXtQ8xy4a56bSejKTGXpLtLf2xTkJge577n2tMNnDE8cDcDz0mXellL0ooKCMnvl9dOJG+d81e4xV2zr88zpBsOaoBELgsgyVqTWnknZO3NTMguy0Cq5z55akcaodPqAxyj0qNfH/NDrx7z5xSt84aE+f/WlBsfO1HjmdINwJSAONCOtkUq6dD6g08eMyXPpQhH8r2LyspuCKDG0w0FSBnRJgxtrsWSth5nzkFVzJRAbeitdnnz6Mc6se26r8FkBvrDSEWE0/pnf/5OD05ds9LjpkpDr947xA4nSkiSShGHaxY6sAhq5itHLAKfU8W7z/ysOjRDFo8i6TTLWFibd5SEhCNwk1ThJOLcIX/yK5vCpOnfeX+f0cp3DZ5oQBKiGpqYVTW1pauNcBM8Nzq95blybA3F2l+ldpQAn1dwpuL2EwHPs7S6skKPzsO9YA09W7cFcolDUgxduQpYnSPsaY48rdg65ZMOAJ4/EDGKPViQYa/BjNxNQlQAupUBIWWHyjCkLf1nkwWzWRxklHmPPp10P+QevHfOyq7ucXu5yxwM+R04GfOHhBmcWayRDDyM1ka8QUrqVIu3Kl6QZT8hlS2X2TYnFyzIj09fu0eTj5HIg22z0synuUQKRQegEqWJeeNmImy4Z8/JLvrL+1d/xL/6fn/37R94tg4vWDN+eFeC/+r7PEMcxH/tMF5LN7N485KrdI15x/Ygrdsdsnom4eNcYZSVxKPMxvaY8tgFZyJkU5OSP2TuVA8sskWMnmLskRVSCFyREieXIScETRxRfvL/Bk0d9nj5apzsOGIcBeD6q7REoQUNBQxvqJR840FmdRlY26+rCg1SW+L7C92V6AdhCe3uJyyx6TufX/AhrQs4vScY2QGuJLy26ZLNNEHgO8sRW+x3D2EOgmZsNkWpEP/IYaOGcjqgoGNPKVDKQMjOpAbJhRwiskQWTlwYjeYnKx08Mxj6bZkJ2bIy4/qIxw3DIDx/t8OQxny/eV+OJozWOnKgRxQoChZUKhCSRpWxQTt/PolXKGa6c0coMnXX0m8JHtK4BV9uEPbtDts5EXLY75Jbrx1y1K2HnRoAzzbhz+zsTod/9P8Xgv/vBL3Bmoas+escTYhj7RPEUjx0NeOJwxBfuD5nyYnZsDbnqsjGvu2HMK68Lwboah3oTrE2/dCKJYydb3HIlS4Hp6oPhPHU3v8TTFoRBSEsUWgYjx+jHTkn+8vaAQaR49Okah04GLPR9xokP2gflodoKXwrqChrKUlO4cWYqLTxSjrV9T7ikRxncnsRPZUngQ+CTuiYuZe5pg+/FaUY0ol4LubCc8MV7W3R6ATNTAp168VnR1+R5z8+1KQWERjIeK9avU7zuxSO+8OCQE50mQ086maLBiy1elHnWqccuE2cXUp51IvP3MFaX3sMB3U8UiVbEXjr2IfKclepFNP2Il10V86LLx7zlFSMOnJQ8ts9jGCr+/IsNjp7zQEgGQ00Sqqx8043jyy+0NSLQSlra5M9FbBAmlSTGUm+6hJzA8Krrxrz2hjFXXhqyc2tCWwvWtyTGaMLQdzMpB08J479MLZz8ZLx++3d/cwAXwJb1rd8T4/E1SksSXcMkHsZEzA9d8HZ0Kebep2I++qWY9TMx1hiu2xvyjteMXMljAnNTCddeFdKsFSuPqNSTVN81G87TGQgee1yz2JXUa5L793l85qs1RpFiFCnOnvMxQhNZDyM80BoRaLSU+EpQk5ZaCuxAWQJlXQ24Tj1fXTC3n/Vl5uBWaY+myNnb9wy+nxVoJTl7+36EUiFfeUTxia+3UL52dltFfz87g2deeNGNrhiNPN5885BPfa3Ln98xRT+u0Ux1uJfp8ChLyti8W0gImQPMvZUsaf0SwE06o0Q7Jve0ItYaHScO6CpBKTdIf6YWc/OlMS++NMKKMW975YBR5Ma5ffqrAQ/s86kHgoWu4rEnfboDmaokseYZLpIATpY0a5ZrXzBm/XTiCrASyzteM+IFl0RYI9gwY5iZsigUFo8k1vQHmijRxIlHFEvMyF7T3DD7e8BPflMM3u10abVb7d957ycubYpQzXqWoRUMhCYyCis9sDHGxIxNzLlOwrkVt6QcOGH4zFfcc2ssUzMJN10d0qq7Eso105Plyyp1HVb6igef8Ol2FFJLNxPFasdMQuPmAmuQGiklnhQOzNISSIMvHRB85YZ9ZjP6HMhF0fCgXSNA1nhcBrdj+LSs1ssYPCndYwIdYW3I6QWfcFwjmJL4adpbCXIfOc9iivz8VizUvDvdKMLIY6al2L4+xBcjhnHAMBbUtRuCmdWQZAktJcvlrTJ/L/ceMrVsTZE9NSbtmSykURwnad5ApfsfxURxgopcLkGrBCljtq036YphuHzHiNAOkdrQ6QgefEKzMpCoXLFUg+oyeWJd80OzZnnRNRFT0wabOBlblwIlMtPCI8lmTxrlguVUXsWx53aoSLQSzejSHZd+b3s07HVr9dZzA/zwqQU8vfLuR586+sp+v0/T16jEacqhEYyNJsmBnrZe2AQwxNbQMamekpbusuXsV8rO6FoAL+u39OQIgcm2XCCtORWqCHKkTK2sDNRp2lmSbtya+calR5120ivSrffIwe3auhR+Cm5fk5eYOgZPWVwb/DQ76nkRQRBxcsHwp19ogvbddC5ZSvBUwFclsoxdsyGhDmzOpQojj3e9bsgn7xry9PkW/cSjEbtNaV0VoC06cVSWEygHe1npYiaFZKnAK7ubvBZGa4WXuHkpXgp0JYukmasbT58Lkw4OStDCImzC+obhO19qQCR56QYi2z/Drj7fOSQE1mhMnJkQkjiSRDYbUyGLR6NITHXwUBRrwnBIf+XQK4e94++2Jv7H35DBf+uDX0ZK4T956Bwg8JQTFAqLJ2AsYCQFkVEYqzAyHSqfBQaqHAlbEq8MbDvxfUtnXggy06kcvAgp8xY0JcATLq0cCFct6En3s5akNRVp93hWSKQpzUEh3Zmt6KovAC5z2RL4Nm9p831TGpwT46Xs7esIKUOOnxPMd2sIrQkkFXmSp+dLFlrFUSgVnhWBoJvxt649ZuemIc+cGzNMNKMEgkTgJRYvTnV4TO4sFYdRVToVspjOTdq1RelyLo0MOjEkSqJ0tn25SovVknS/pOIupEGlIBfZe2MmrFybAz1zwIqLOy92do+5ozaZR5FpvY7CZrNYjMqJIE4c4IWw2Og43XMf991mYt8A4McOHwMhGA+HjkAF6fbZApm4k+cZiISbRhpZQZwlFnDayqbLUIW5n02dCOGW1Wwpzy2ozHMFLcAT7gLT0uY1Htnz/LWU7ItSUPIGW18JB/YKuKV79DOgZ8FnCu6s+0ebXKJ42ulT34+Iibjta3XOz9fxphR+uYaj7KAwoUgrxUdiIghUjMZugu0bX9Lna4+P6MY1BlpTjw1hmk5XsiiIygrOhDAUnUNZoFnKElowJp2pYkmbUATaCGIl0IlMd7FztTxxCvQimWbyBJuUppR4M5UkXGHtljyyZwm0K2UaEwlCY2XuBBlTTA5OjEo3OJCYBKJwzMriSdYCWQXgH/3E7bRb9Zd+6ON33jhaSYhw/XFlsCnjAOdLQWItcaYhyQz7tP6glLFaE9fZPUsWCFDZo7BoyK02laaM3XyTQuNmE2rdo8hHIZSBnc9BUbh+xLUAngWcme7WmSyxqd6u1pL7XoTvhZzrGB4+VAfto1N5oksFSlm2T0wg3C3Hpaq7vC9V5p54FHlcd/GYddNDOssNBrGiocCL3Xdxsx0tKioD3PXCFhUO2Zji0rQqYwt2VIbECDwjSJQkUYZECeIU5OXitawcQmYgz0BdmpAlcKxelDTnPL26diVf0KsAzz8nxUQtmyesSpnZ0iz4UagY29kb57a9+qUHnnzTPXuves3aALcmYjTiO5s1e60vQ7Sv3RYWiShYPAVgYi2JFXgWjLSlLJQoZa8KDi8DexLgbndhKsydjVxTJZBnjKWz2oi0Bjwr9XTNxVmnipMlKu9eKYCdNd869k41tybX25kl6Bi7ALeXVydGCCJu/WrA155sIQONL4Wbv51XEBZtdEXF32Q2s1wzn3nibukdjjxefOWQN72sx3tvbREmAf1EUkss45h8rnpR9WdSOWcmLqhnY3IwWqaNwCIHd6IkShnH6FKmoyVMqRS5XANkC5CvweCFbLITAEh9tLJyycEucuAX/QOydHzcvMR8yGesGAwtfqKvbQ6H32lMfM+aDH7q9GnarebrPvv5L//9leUFaoEkjLOMk3U+a8bm0nXLl7syVpVHlpH9LIU5GbgzAMgSKCRFzUN5tEHG3G4LkuxnUgYnb8OqsHjaDeOpKrjdOIUJ5k57Nv20vc3TWcNBXLpHhET81R1tEhug8uxlOcAs+hozZ6OiwZlo1zPSjdJIsmBTI/B4x6sG/NltY1ZMxDCpMUwEXkzO4lJaZCzyojNnF05qUVmyJkUJ5IJE26JnVhkSbVHGyZVEWVTiKhhd9ljmpcmFRVmu7izKmPOmlBLQn309LxXbpRp9shI1k3HGyjw4doGmm2TbWViiOTv4+9dc/8o7L1w4+4UNGzZXAT4aRSgVXry41N+zuNRDKQ9pLNriuuWFO24CkNZiRFHqWKkYy3zOya+TLdclE7wsT3KgT5Rn5vJoQnNmoC/P9lBKFFo8rbirDLtJga2VKJyU3A50HfeuMdmmzF0EmLrE3oEX8vAhycEzNazyUFLiS4OerNMoCfBJFyW75x1PRpT8agfyKPbYsyXiiov6fP1AnUj5DGNBTYKXWHQsUvmWduHEqQ5HOrkwAaBKfX4ujYrNCbL5kFqZFNxpO5uyJXBntUA2LRPImJx89RAlcCOKiVlUwF49HFkDZp7ttlQ0eT5oNZGlgNx9ZiEkSdwF099jkvHFmOgLqxn87CKN+oD5pQHjyG2ImkkIlSFTOh4q1/KmkC79XLoiV1+jJeYuPS8DvQRuldd8F7ZbIVmE654XBbhdkCnybnGdg1tWAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxEfvaLC4WEcE2vnu5YtwsgalvHSVS0VNlVUr3rRRRJFm/azk7a/u8fChNuOkxkD51BOnxbNyViVJwZ2tFSb1xEtZQ2RF8zp/3JYusPIkX4ky2Ypk8+cO4DL9niZvm8u6/IWQRXNEBeRF0Vx+KESVzau1SWJ17GCLlS67GAsHxnVY+bpHEs5j4lH+d3OA/9lffhopJSudFQJfYWxxcqQAK8nT6TI9IbKUfS1LErvGclQ+yYX2nngsA7rM4pXxYgVjyzKDK1Fi8UyuSJSuAtzX6QAgL9s6MM1waouXp+JN+jyp3LVynTtPH4eP3N5iLH2UVGn2snohTmYwV1/uxbGr6vDMMVDEiSZING9/7YgPfG7A40fqRMpjICV+YlL3yLlbxXGyrr1MlNdQk76XXAUYawtw69xCdFN/VVoSoBJbDOvM57KI/IKOJ/R4BuZyg0S5vTEjtjJGyqOvi3IOctlStlTL8qVAm+bsqUN0ly9gSnahBlicP8fs+o2N9773fbsff3KFaCwYjEsSOmPYjISERdq1PhTPeisvTZUre4K915YoIgfO5DhkWWLsLMjMpjZpnW3ymmpvNQHuLH3vZY3Jxs0MyVvEsp7OOL1HKC/k4GlNL/RB6VSe2Iny2MkLt4rw6kCjCS887cYpEj+apie4dOuIxw+GJCZgaHxqiavZ1qkGV8LN13aJpWy1dINQyyCHosw5q2vS+WBT95oybqaNNqQdRBZpigkB2XStJOvuzw2AIrgU0lUeFc3KVS2+llQp19pmIM/AnwflpV7fAkswChXnlyXrNmzY/c4f+NHGqVM/Mti2bWvK4NEpBssLr73pBe2fO3RoyDAURLGtSI5KyWd+omweEK/Ct50AdYm9K39PVoFQALvoY1QlVlSVoZoZyClqpFUJ1PnzNMmjSL1wB24H4GIokFeWJ2X2Vmlfpx+y1DP8979usTisIQLPyRNpK6tKMThn7YqMCtBxZbM2O3Gm7Pm6tHS7ofnp7+nx5YfbLI59QqkZSomf9lAWIx9SBs8qflJdnJXRWkwKblMqaS66anQ6eCcL0jOwKylSBneSKMldFHKZUujwop2wkClZ4Jkdj+J1W8JG+bhMHqcyy5d/LwV4nqFZM+w/voJttn/uq/c/c89wOPpkzuD9ztcQccCpc4e4Z/8Ci4uzrGsWzsVko2n+95+DsS3VE1wB+AS7FS6KKEAuJyVKdTBNDmwpkKoYP6ZKoNZSolNJonOAZ5rb5EGlp00Obk9n9RdV9vZUhO+HfPgOj6cO10F6SCkJstLYkrWZ7xGffslnrSYssXm+U0VJpsTGtZzFscdVewZ818u6fOBzNYwOGEqfQIo86aOkIMoDutVMLspMPjkBIQO6AmXdqmCsc8qy2Y6O1QXFWIliFk0xmdb1cQpZBXjmiJWJjQrg10JPCfXZVVDl0xQbBl9aNq8fYtU8DxyZ5cydBqzT4Rrg8480mG75fOarTR44UGfXOjd3Og8wKaWdLc/xwUo3UTgmBaiLZcUNDBJrsncRWIqCzXOG/EYAlwXAVamGWqd1KR65FPFU4ZZ4peFAheZ27O1pN7VquWP49FdaLHQCqKXuiSgFY88iUbLvOXn+1rTtMsvQSOcYpDUXM23F33vlgE99bcRiPyBUmmEiU3tSpO6NKJqxZcGWGbBdGTNpw4HJNXnmhunMWVHp83RoqknHX2fHvQxyIUWp+z4b4pnqbmlXxVcZuF15bxkuZbCs9pfzriFb+nsZg2uXkLphb8LFe4b0kxApxvxHQD/82AG2bprZ9dHbHvyZRx57gq1TdRpeaWmhOFjl4S/Z9NEKoMv4LgdXazF39gVzYIvnlCiiAuzq7O9yh4sb7k4V3NnOBhlzqxJzr2LwbNxEMXJCK5e5PHpMcOB4DUOAkDpvzi2qB8vxgyi5GsUBKdeiFEwuSvJE5E5G3m6WaLCay3aG7Nk8YvGZOjbxHYsnTqbokotTAKBc6JXVCMnCwrUpm9vCJzdS5NZhObZR6bxJk86czBNasiCjHNxGOP0tMwIr9ijKEoZl+GSfNWNnscaSV8Gezdg7m6YlGI01mPU0Gn22bJv5meb6Nz26svDqYxqbMBiONzX85HVqPM9cK8h9ZrnGSasw8xoOwZrAXuPiyNqeEGXWExPyRJScCUERbBaAdgxOOgq47IOX7+mW1qoM7hLI0/3qvbQ0NGNvlf6sdYRSEbd9vcXBhTr4hTzxStblask1cXAmbtURxOWJBKXdzbIy2lBz0fqQN754wANPN8B4xInT4l6SZneTqlTKgVVe49PA041VKzzm/LlMn8t0VZHZXaQDVW2+eiYSpMlWWJsTU0WqUEhPKkB3F11GlFU5awvwZzhK5UN+bDNXL90yZRxq4lhxYXnE7in1umB6vCmK7TGdXc1CuLl1nuc+VGHDTWjjkh7Pz90kkCfYOhMna7sLIndRJgO0DNBiDWDnbK5EqQm3BO50PmGxbQerga2LAUH5iDdtUpDHTp6oiHoj5Ov7FZ/8SpPhyIeGRkuBJ6rSZPLzV4/BGgBnQn9PWIZlXzyKNVMtzVtuGfG5rw24f7+PbXoMkwBfkF9oKn//8uSxcjjnQF7OU7jgM73AlGPzRDo9bkqsnQX1RmZBpSjpb1EKdFOSMo4N8w78koRKxepE8Fms7pOFWpO4yaegWfJUvpAQRSYdv+z+ge4PI7QXMRwlJAbqsgDbWuCeDA6rbF1obKgCuvqzqLJdSY6Un+dSRBSglqq0e4MSaW1KAe4C5FnZrEXrYoSyTjdh0qoKdC9na3dXygWYvh8ShQmfu7fB0yca4HkIqVJQpXNDSsGlkBMXcuXEFcguiorScQilTKYp10OX7MIw1Fy+I+b1L+nz2LE649gnkR5Do/ATJj5L5oUzweDu0U58FlR2sRmMEqgs2SIFVrmcR6bH8xVVgjSlWYaGEnuv7mhaRW5kUs6uIoJCr69hSAjnIGb7NinrSralzaYJh0jGSDFG//Gf34pWipVOl3qgKwmUVUFfhZlEFchlJp9k77U+ZAXkovo+Wce4qIJbVKRJySrMGTsDeDE5NZcoKXM7xrY5U+v8sXjupcGlVhGBH/LkccEXvtZgMPSh6SFFVjlIyR5cI4uZfbfitBXMndsCxWTdyfLZorhI5d0+rVbI628e86m7Rjx2JADtMzISP9XiyoBKMqClnyEp5AFJGewFsK11K18uXaRj82xVyQgvS/BJU+BEmLKbkq66ZbBnsZasxgWrsTLx+hq/y76TTS+gTOZJK1DGIoXPmRMPsXhhP8Yk6FFvwe3GEEbU/FIAV15qSpIhf8NnuxonpMrkiS7+vVgFhFyOiCyonGRwp7fL2Uyl0grDtKLQtXOlz3V5PvgEuNO7l02hTQv8tYrdXUd4XkRsE269p87dT9ahpkG6hmavVMJbKY0t38s/rCVRSnXhuW2XNZenjkq1TFQxHnm84qoBb3zpgKeO14hjDysUQ6HxEvLPJJKCxYuPsDaTF+9vUSpjbsfm7meBNCLX4bnfnzF6RkoZqGUJLyKLRSzSiDVwUXVUCozYghxLYDfpKmVMihfpwC2Nddl2NPOLYxcoWoMeRS7aj2L3qBVVgItSZdwqHS2qV2BFjqz+b6qvi9KSLioHREwCuyJVqvFBAfQJcKvSXReboGaA9kqgzpwT55i4R6UifC/i0WOSj9zRAnyQHkKovItIpRuplrOu5RWppDQnAEalIK1g7pIGtwKTuNY9N4VW5el7azXveNWQL9474sHDbpJAZBSDRKQFX+n5S2wRnFXWkOKzWGsdi5eAnv1WpaA3Mt3PJwuKTSmzbNP3sgWoHdCrYM+JK2dtWzlWk4FnvvfSGhdCHsimQWYW/1grkDKh7rtpwsZadJy4NzQ2W9JFJViqypTJNy2Ch+yDZ87IpBWYXRCZszCpu4uDIAoNl2m7jDlEqegqe0xb04rNptzODsUA/ALcFdYuPWaNtZlUUSrG82KiJObO++s8cajuqs+kCy59YUuTY8ur3cSqVAFUFVq29CRvgKgUFZWCzURiVFbgrxmHHlfuGfGKmxyLDxPH4mPhMzKgkyyYS+tUSsFcIVHcByiPzitbl0qCVa7uSFlc9tMKhBVYkbJmJlVKK33B3ul5NSUMVXzxSeOhBOzyaigKeVV2UIQoLi6Tfh5jLcq6766VcQDfOCORUjAeS/qDkt7NACknQJg67WUWz64uSh+8uErFBJuLki9a/tBiYo+YifoTQb73Tr57cdZ8W2l4KLYuUWoC3KWh+Ll7ohKULgE8lSi+jjh4VvDBz7UYRx40vFSekLemqfIuweX4pCIun0Wi2CrQyzKlvDlAUUFX1uKaZiD5wdcPuPXuJvtPu4svMYpBolyVYZImf1JfV2RNKxMrSVaqVAa4qzNyF5xMNbqTAO4cWSlSWVCKlTImN9mqXyVCKUCYSXOhBOyyVbhWzJbpeFywKzJHJsOrSVcrC7GpoZTnJNef/fHvbGw1/d84fvzEZcZaqilvJiQCabmkqNxXSYmJ36/+N+U9LGXqhqRjgZWsWH6T92xkQtnjzh91obudg1IFd3mvnqKYKt39QUd5M4OnQxIZ8oHPNPizL0xDEICqoZSmoSx1ZdNxFOQNzl6pNa7IpJYTUZJiMiyVALWIJQrbMbtohSRt/C16IZW0CGvYvink9ILkoSd8YiFBKIxQTmpOsF7VfiutKoUTV/xsS6ImBXtxMVA4PzCh4UsTYUvxRbkHNb+XSoVtqfTVJW4m/nY+ErDc1lY0RRQjmF0jdW8oWL/5+k1bd7/0S/rIsRPTK53uG4ajMVKqipSoMvekvix+zp+v9VqZ0fO/W5YkZQ2eLnVl1q7UgduK9pY5GApJokraW+U7PZQ2olJ2QpJklYIZe0d4OuLAGcmHvtzAzV9x7J137ucWKpXxwrJ8HKiyUP5DDqAJcJhybUgxV9Cd3DSraSUmUSQq1eKJ5vtePeATdzbYd8oDGWKFZJR4aNJ6kexYJyk8kyzxk0G1JJ3ShgPrJtDkn02mgJIWpHWyJdPd0rr3sCb1x00aoE44Y5PPV8vZ1dKlYPJU2pgJTK7xd4UQJPGY0XDxDUsLYlo/9EyfxYUBy92E2SmdD5LJt95YC9S5HCktLWvo8WezAlcHlav1W6UGPE0mlPeRKTR4sVVgtrOamgC3m8hq0kdnByplUJnfrWKUjFGpPElUzGfuabLvYKG9pZDO+847aFjzBAomf865saLBi+fVBuSKJ16aSKVN2s0iixR+GGkuv3jMm1/a5/CHAsJEgdAkQjMUAp2k9h1ZoJs5KqLCx3kIbDNdLlDWpuWqTpo4v7n0GYUtUvzC9eVKK5weNlTcN1MiMJPhSFIpk67EdqsAXiZZW70g0njRpJJRKZhtx+zZ2md6xkM3Axj6rpw0q6cuPGgKvT0B4LLdt7arIlb/mxwQohIsVNh7FcAL1s5+zlg7A3vG3DnQVZnJC92tsiAy2+JEGrQshuYrleB5EUfOKv7Hx9uMpEc2Qavomk9XkHINdEUnZmeL57xVl2+Rlx5XxiaYsgYXlfqUxLjxZUES84/f2uev72xw+IwGFYHRRMJjKAQqyYDm9HgebE6APPPmLaCzCy59TVp3zDM2lzbzxE2FzXMLT2b9u1WjoszqwrqigdWGxQSjp6/J/CKYUBS53+7KCQCiRDKOfMZRDb1hWiFixZmmGxVclRDPAtQSQ08CelKarHpeibKrz8vAFhOsnSVSquA2hUSRVQbXFX87BXPF7y7dpWNxT4d0Q8N7P9Xm9IUAlE6tQZnKE1vxvfPnawREk8zzrECf1JpZI3cO7iyFL/N73gwhFUms2To35se/q8evfdCnE7mAwFrJ2ChnGyYlgyARFAq7AHnx/+43Kr0KrU1nOaWsnrG5Td2KnMFtatWl4BUifZ6y9lpS4llBPQl4Ssy/1r/L/la6a/JwrDm/5DMyPrrV1IyHmlbTQ0qVf/mqZVMFL6yWLNUlpcr0uf8pi+erwC3LEqXM2rZkDRZF9kqUAV1icm1SRje5NHFyxKySKkrF+aNWETqI+NitAe/5aJux8dLGVJXLk7ypeMISq+ju/HiUYb02xMuzkQqrsAz6LGVvMcbk2c08hW/cVuA1HfOTb+tz4LjP+z/jtDgoEiEZGRdwyoScwYsCrOxkFan7sl3pwF1IFmtTNhdZ5WHG5tbZh3niJ9XlsnivzD2b1OZlQlwrp1JVC9UFsuxaFedAMA4FKz13wnRmrHtaIpV0n7ws9Cl9iHIUPvG4drC5WldNBgZVD3WiybgM7myL7vKWgarsOpiSVMlAXGJyWVQHVh/j1PeOWFqGv/5yg+VxBm4HcE867a1FVZ5UPmsm60p4zg9f6TiWtXYuVdJfVKr6JrdeNBN14lKijMIYTZxopvyEt75mwCfuabDYUyAjMIoIp8ezKsMccJVL7dmZ3OWBiqRQVp+SBZtWutccezugm+zit2vUo6wBdoQrr61gaRW+qgzOWq+lXyOMi2+g80hZCjxVXDpZIJJ99eKqEtU/PvlGk8vOszB2lb3XALaoShOZB5blBoNqUJkNpynAnVRYu2DujLUL9vYaMbd+pcb9T9QxJe3tmhoyeVKtNylXxq3FKGUWWpvEU/bMffBCokw2Q5T3HE2sRNnCF48TD21iXnRVyJteOOBPb/NBhSAkVriBqUoINzksX6ELUE/KlcwatNbZtRmzK1nIKCtLhWLSJVnKFZXZPqpWsJrsJnCBsKken8i1rCLSEvAnQE7pOCdJ8be1826lm/6kxcR/VMTblTeb+Ll8MstAz15b6yquZLxkFTBV9ra5RZhvVFoCuFQWnY4YkzJ1TKRNdXUG7qRwTKQpdmOTzj0JvIjDJyQfvLXFuZ7v6oalG/SuBMWODeWLcs2TJiqAn2TvyVsl0VNi9lXbMWad5JWue7d/jnt0259sbCb80Jv63PNEwOHzEkQEKAySkZClTaRcYJaBWojSCS153Pn/59nM9DyU2bwM5qwYK8uiCjATteHVRF95F+Vyi12pErIiiW31kE6APbso4sQSx5Y4sWhrnAJT0s0KedbzIVY/rRgGa7E3VVDnASaF7s41d/bvSoDO7UGVAX4C5PmM7MnnST40MmNxLUu6Wybo1Bb0/YhxYviDD7e5++G6622T2mlvKV3Xjijmr+SfNVtZJlauSSYvH7PysV2dwSxci2KP93L5bLmM1mDLY4UTQyw1Kta84vqQn3hHl1/6A59xLF0Gykji1FVxNdqUAFOAyX0w15JG6fO5n8tb+qXd9TazB50CyC6AjLVtetE76VLCQ5b9XSN2c/jJamiKnwu6fRbisNl/5xqns++os855nQ7Cyb9Y5Uys/oPlZXctjZQtPQLyzvkq+01MsioNkSkD38kSU7D5xF3m9mAxAbUSXMpCluh0xnUeXMoYz4+540GPT9zdYBx6UNe59s7ZOwtwK/JkDeYWE8ckPSli8mRMHOO8fDaXBkXxlVVFJq9cK54YiTROqmRAj2NNvRHz1lcMuf3uIV98UDnbEFd2FwnNMDsPgLBpa1lJrrjdZqqa3N1LdSky/ZxpU0T+s0hLa8UaQC+zt6XC4JOE6HBkC0iL4qBNrozlDnubuTeu4wEpBLrVsJgI2g2X5k5MxiITQF+bzCeCALsm0J9Nnjjw29VBZbrhqxJV10Tm+6mnLkqe3MmAbErMXQJ6aZh7rr2lmxK70rfcek+D/WdrTpoIVxIrMu0tKE2QsqvAnV+0+XcuA/o59EnppGBFbslV78XOdauHAxU1KlIqpEmQRhONNXs3RbzpZX3u3+fTCdP0q3F6PESR7QNRBXdJg6ef3eKSO/kFmfZA5qDGBZYSJ1WMcH9zEugml0blupOJ/EEZ3DmubGUZFM9y/GwupVxGOIxjeoOYeiNGb5iJCWREZzomjBRRko30enaAr3rDCf1dNeahOt1oIkArsfeqUQQTYM4YPpMkMh/MnoHcToA73Zmg9JiB29MxhoQ/ua3Oez7ewgrtfO8Ke1No74o1uBroVE5SCeTPwd6VSj4mQJ0z+epWtmLnA4NJJEY6X1xJQ5R4SGX4ybcMOHTG4z2f0ERxAXKDYCwkymSDJFJwl1vbclAL8vFlsvxypsPzaxObXvyk4JeiALrAsX2x0tncKy+y4uVWtiwIzj4fq1bBKnPbfEJXZCzdXszCSoL0EvSGdT18OeB8I2al77tiFykqTDL5h9dacqvMPcHkpcBGAsV23IUUyTR5NjVJ5KOIC+0txGrHRGbgVpPypLpnvUr3nnEaPMLzIw6dk3zizib9vgd1tZq985rvkrMjigRPWTdOPs9A/o043BYaoCQHslVUVNwTmzYd5ECXpS0+pNPiUmqiKKHVjHnLLQM+99U6h86mSQU3oJpECIaOR9MESQpuW4Dd5qBO3RLIN3J3pJ86KaL4zFm6XCJK7okjN9cVZCdWdTGBFVEiy2eZfvUsRGHTfX+SBHpDy4VOQuIl6MgYRpGlM5BFl0Qa8ZRZJn3LVZRe7Mky4aKkr8lygEkJ6GXQT7J2OkRGlVg8m2iqlBv8WAxmL+nv0nYbsiRLpEwdk5TJtY4ZR4bb72vy5Ufqbji49BzAJ9g7d3CEqAbDlGqeJ5lc8I1PTvU8VYFeuhvjbLhMpth0KxKnu00hU4wkERKVSIxQRGPNa64Nec2Lhpz8rMfYpO0vrhKKGM1I4LpsKMkBZ4Ng0+BMZSe3JAOyjaZsysyk5b2ZkyJLY7bzY5PajtUkT6nMuOyclPG0VjCZPZQXm5TFpYB2QzIzrZmZ1uij569eOXfm6OeWuwvf3awlKGUpa49yl0dmIa3F3NUPVvKHc2DbCpMLqrq7PN8uH8mbAzsDelE2WnZOpFytt8t2YJaKl9J16kg/5q4HfX79j6dIrC6cE6kQQrp9gESRlq8yeNnxWZu9v4kkZvVkTVYX2iIdnqfvyaZepcVYonBUck0unTcujCaODb6f8PM/0mX/Kc1dD0iML1LIui8QGcWQVBPnlJgyuRLVccGpu5PlAqXMOn4KeSJFGiinKXtDaZQExUoNTrNX9XeZKAV5EdgaALelJ+VAPSOdrRubvOyauc9dfeXFK+rlN+3qj4dLh33P/oSSUdHRk/W75aArW3uicBPK7kIpTZtXAebuSDlZk9l8E/52vntYOYCcSOakNd6FLWhK222YVGubkixJSgkd12t5aknw6x+c4p5Hmm5THumnJbEeWgrqEgJJusmVXV27XbmnDdD5kJzqMKKs5l2qiYbpkq4vfha5fCts0mpFpTsvpbknJblX7LZQ6Nz162ICbbn/cZ+VoZxYamQ+RVyUgF5YdJPo+maWpVIxbmlFAioTy6v2qKiqhZJ9yuRqlkoRm2V689ezhJglCAJOnV78oXvvf3q/nm7FCCEwSUKSmIK1y2+Q6rMiMbE69Kym9avT/Vc9l7YSaJaZW0wEmGX/O9fcGYtXgF12UsqBZVoKmz5P/IQPfmqKT36lia0pEMqhU2iElJV+y6K/8Tk65vPvl2mTNc/5Kg/cTvxcBoR7Xu22n+zwMen8QJsyt7WmqFEREmkUidDIYcJbXznk6SMe736fJgziAuBCYI3HmLR2Josas7Y2UdSHA06TmzS7mbJ7EWSmrJ1NHk7lSdUTL6zDytQtWx7rVrqUxOqDVGCy5JxAUY1pLKqfEMYxxhj07i09lBQMxwmLy4YwVsVSWDrQZVzb8lmZBPhE8EUJxKLMNKUAs8w8k8DOAS0y37voailvb5cxd/5cFkkdmdecJHzxgYA//myTUZJOwReZNZhmLYWtaO81U/NloFMG/IRcqYB9bfYryMMty6symthVJbRWljKbsuSsCOUcMJkWZ0lDYjSBZ/iRN/a59zGfLz7i7MLMG0cKjNWMkzTozK25Ih1PFnul3rezB93WklZUQS5FdiGkBVcVgJeOXVZ7kh8rUcHRs0jvEg5thYizJpFxaFkeW+f+WNAHT4cYC3XP0vJTXZfW9JZHixV6R6wJ8OzDZQtUkaFaDfCyJSgqAC8FnCJN4ohiZy+1SoevweJl9pZJEWDqiMEYfuWPpjhyOsDqYrfkivbOJFIF2BOAZg0w5ydl4gw9hyCvEAaUluzipK3W46trU4xMKw5lmcUVIjEIoZGh4aKtEf/2Rzvc+68CeqP0yxiZf65Eur04nTPgPoTb6icDO2BSUJNh3vV92jS4TEcduoAzK75KNbgtHb/J+hR3mNbo/BfFgVm14mWrWokQjIVxBHObEmamQ5eqP7+yh8QomkEX2T6f9gGKNOqlaF2asLJWAbzsopSYe1KelGdHlwupMqDLCpObQqJkfYliDXBXXJPS7ryp5611RJzA736sxSPP1JznLTPmLpwTT1RliRJV1hZlsE8wd5oapDx0cy2+XsVNE85J0QBBUcyUdoyvqjYUjsHzoNNIB/JEYkR6T1KpYgzXXRbx09/b4b99eJowSakWMjSSoBibUtApwcssRGwhUVL2tekFbFPGztlcuovDZm5JfgxT2eJeWrXqlYlyFW2XCaFiD1af1zy45qIZLtoxxWgUo9/+1jfg+03On36Cg09+GqV8VzyTbRGRMUbpqpm0aApQu+eTFtDkNhZFLUd5A6PV7kmx6eizsHcqR2RZllTuaWBZS/jSfQHv/1iLztBzHmDqeZM26TrnpMhalkt5yzq8GM22xgzCSlgm8p8rkF6DtVfhvQL0AuRV1s6mwtoU/GWp4mzERCqkNa5eJVa0a4Yfe9uAh54KuP3rChpxJpzzExcbyYjCyXAVUyUtnp5ol+whB7oVIs90WlPIkuxeJbf02Nni2MnSgRKTB6V8XNYEuM2PWRjF7N5zAze/6BpWOn10sy7wfEmraWg2Iiw6H0BjM38z/2NlPb5aJa1KuT4HsKtRf+q0lADutoxeA+TC5CxdYW7lgC5LVYJSxkgd88wxzf/4SJtDi75rgxcl7Z1WDHrprJPc2VgrqIQqc1MCdnm5LV3sq26ixNplkE/o7nKAXzD5hEdeAnteiGVNvqmsyKSKsE6qRJY9szH/+O09jp3THDwtsLossARIjyQFORMgz+SLNW7IJyUmt6lksSXGZgLgWZ24pKhHySR/JYG4RlC+KvubJ3eoSOnu0BImCis8DBotJG7mn7LU/JgoMcRIJ1GE+yPZplOTS4JY4+RN7qqVA6JsX4nVrC1EtjVd1TkpZEp1S+nJZE7G5lljg5QxfhBzriP4lfe1+cQdDayninT8c7B3Ufe9OiVfBvdaSZ0yo1c0m5g4YRVqWv3a6pqUsg7PAG3zDKfNdHjK4FJkz9PgUxjixOBJ56p0xpKf+03F+RUBQZVuLZrYSkYlDV4BuSjkipWgMnmSAh3hymMtqcRNH0XK7rZEehUmTxNB5YNR4gMqxWilv5Udp9gIRhHEabOnRSA9LfB975yn7ReC2ixJkmneLAVe9aGLJuB0R60MlJMJmuyuioq/8h6Lhdwo3k9OOCP5HJC17MCJTKWUCVLF6XNXaxJi+MzX6nzpgUZaa6JyYFfZu9g1uDxvcM1iqpJmlCWmKWcxK9f8s+jJ8mvlk1TEOekckPL8kBJz57NESOeBmCzxU0rtZ32c+e9cxaGwkte+cMSbXzLAFwnEMZjS3SZY47ZpHxkYG0FkILKC2Dggxca5iUm2x6bNRl2kW7rnm2oVu7hVfm9Lr2X/rbXpzstFDY77tza9eG3xnkn10XU/JWzatJ4E9QXlB+eMUMjG9BU88uBXj50+p/97P76IcehAqEsJlDIYncNQ2tJZlmWEyZmv2FM++/dlVi572WvVlpSBXnjeZRaXeXVgUnFOZFrnHQvDp+6s8+73tzm14IGvHHPngaVEpODOs5aVbqKJ3RIqs09EBcCFXFnb6irr8lWB01qYt+VcRBXYJv9dISGNkaXGCIk1pRoVozDWdeEnRmOMJhortq8z/NyPdviuV/bxRAxJDDa9mwhsjDVmNciNIE7ZMjEZ4Jl4Xga0qIC7vCdnBuAkS9SYAuiu4C8DdgnspvSYvl+c/l6QcNOVm5itR//9K1+649hLrr/E7dGj5RipwNMRgZfge+5El+dyJIkbZGGygnnI9Xj1pJoSy03stpVLkrKLMmkTFprb6e2qPCkCyoK5s4Aye/S8hKMLkvf/dZP9hwJoqdwtyRM7UubSJO+zpFqb/qwd8xWLK6tZrgaUYk0mL1yUtZI9jrXNRMJnItik+DlL30vhQC6Fzb1xkZ47IQodLkXWla+JxpbLLor5kbf0eOAJn2PzmYmdfUSRy5BYCkYWV3OS6gkrnU5QMhURac0M4IJSWXzHrMU5GyiUyvTKccw0eBbvlaVK2U41JXAnpakDUoBNoD+M6fVDhqMQSDeh2rrjMpRusFwbsWifRKsYkPmG9zbd8sI1zhUHuZp1KultVgO7KIutBpkZkEVW8y2L18quiVsdyuAugz5BCcfeWics9QS//Wdt7ny0XlQJ5sAupIkvJtvRii4dVTr4q2xBnsMqXK1SvuGtnKKuVBWW3YIMJCnITDob0Iq0H7LijUuEsCTC5jP7MttQCOUuI2FIBoZXXjfmn76ry3/8I8nyMP0cMtXjxj23Vjl9m33x1FXJqw5TB0Vl+EiLtTLLUGbXdeqHl3tZZemrl1WeXeMY5QBPJVBsIErcamKMRQrNtu07ueG6K+n23JeRAI3WZmY3Xn57yz/y65vmxky3+jTrI2pBhNYmBybZnRIbl4LGgo2zZb2cjUz1tyhr7QmHRBUsXZYlUk5WB5o8Q5kxd5bQGQnLH3y8yfs+1qIXpYVUGcBFJk3cmGEvT8cXs76Li3R19jJn6tKZqILZVuTLN4P01daXqAC8WhIK1YRPdS5fXjeeBZ5p0idrb8sGeGaSJU40LQ0/8bYeP/nWHnUTg0lKWjyVKybG2pImtxOa3K4lUUQuVRJb3J3UyCzNQoOXkzUVQ8OuQQDpv4kTGEaCpZHgzECykDR44NDir9943eW37965uQB4a3obSwd+YuCJ40e1HqPUEu1mh3owduxaOmOTjkGZmasyZCLFXr7n/2YiaCxdDEoV7klVlqTSpJKtjJEqBs/w9GGPv7y9QTdKJ2NSDiqVAzipNClZgWtq7xLYK89Lj0z82wzY1XjzuZFetKtN5huKgZO59s4vglJTct71I0tgF6XgMvtZ5aA3RmKNIo4ULW35/tf2ufySMTJJ3FpvSyC3CZgkB/nYQJiCPC6D3Lqh/XGuwYvxF2VpUQSaIgd9BdhUnxfHqTicFveenVCwME4wdNF+zNMn549e9b2/PLho11agtFf90eGPMdVq8Aef/iKf+tLd/OIPD7n5shBjWsSxu/qzA5qBO2PyTLIVexdW/e2KLVhuaEg1dkWPlxk7vwiS0uvVNHz2s/YMjx/2+Olfn+GJgwHWk4UsybR3yt6+LHxvXWLvZ++5XFuSVBI7gtJPE/LtG9J49WnVF59kbxeESZMmV/JpWOkuDMJN8jVWpguudc9N2niQyRThHAuERYSWay6O+L2fW+En/pNI56FTeHxG5M8tihiR7iebrjalTGYxGCbNl2QtkGlKP5MkkkzxOskjSr8r84KwFD2d6WsKsMqiYkFiY15//QV+7h1nmdn0Orzpt2JNn0v/+herABd6G8KrY+xmFpc28b5PJvBGw6bZgNjtLbc6cCq9adGtU5UtblxAte6knIJ37G9ygJeDSffzJLhNHmAq4RI62kvoWcHvf6LJo08HJGoimSOzrKV00kSkzQw8B3tnn70C9ImxEBWwV1e1b4a87QSwywi35T7NyutlZp+oGbcCmU7CyjYTsKkvnpXP5mDPgG4sCQYtLNddPuYfvaXPz/83j16MA7lJr+482+lAHmVVR6lX7sBts42U8+Azy2w6BFeVdRZoItMw1Donq5z8YeLYyvQzZDvp7d1h+OE31Jmub2W2uZkN2zaQRI38PXKATzcUUw3v0FXba4ffeG1jjyTh+BkfKRJqQZLPHimn3ot2/tSBKEmVSjq+wugTAC87J7mdmAWUpgpuZdJgMkGKtErQSxgYeP8nmnzkS03GGZhlmb1d5Zws24KlCVVrZi2fzUEpXdn58wl7cDUNfFPkXXJSKMBR0uEmxVCZ0bMNmPKhQalzIlPACysQRiKEccGmTckqDUQFKZsnFl9Y3v6aAfuOa97/8Rb9CHfATEa5tqDfjMkzkKdfvgx0F1QWzJ4FyFlOKQvojQWJwKRuTBnk+VEsraAyHRJb8wXb1zc4caZFf6C5srXx8By1Q1GS5P9d1mbHb//Wf+XVr3rV4dmZxoYk7N7iywGz0wpfZ/2QGYNVW/3L06nWSsFXn1eTO1Vb8BuAO5cqqdct3VzvfgR/9Okm/+l9U5xf8kvdOV6loEqktmCQ9t9mEkXJLEWfNVuUekMn0/ayukHX5BYr2fYrxaa1ImfS8muTO1eUB5KWh4/mI4hL034rrtREAJyvmGWXQlRXldUlB9l64EoCptsJN1wR0R1InjrsEcbl/5gqnTpTOL9Ii4kC5ei7Itwmflf6U6T5BVH581WMiezcuGnINc9t3T4aC9oz21i/4aLfPXXy5Hv37L0u/9sV2aO0h/aC26anvEc3b/Bo1V33THZpFrUSVQ7KD9IqQJf97cKNKQNbleSIXMP+y5hbVsCdpuNrlk/eVedX39fm3LLnhtzIiWxlKk0yW1ALu2qAfTWJ82zet6gAY/I8iexUVs/mN3cr+byskiRiwhMvZzWzsRJZYJZlMCdT+qKUDCqm1GbZTWNV/jwaKzbPJPybH+vw3bcMYJzk2U3nsKRBaO64pIFneg+NILIT2c7SCLpici6V4NPmbkqR2JpM2VeCeescm94godO39Abm0VardpufD/dZA+BveP13YLu333PZjuUHd2+NmGpG+J4D32RiIissWw2EZwH3RGdOlrUUudbOAssyuDM3pVzbnVqDgeHQKc2f3trk7AW/ALeolsFmGUtdume2YL7iUGJUSvFEmbQqPxRsI6pk9U2D2z7X6xOW4ao6IErPJ7KalYrDVQODSh1BkxvNpoM8jVXEoWTz+oR3fWefPdtDCCeclQzwucPiUuhheo9ycKdZT5u6LSWrcBXI1wimc4lWvqV0byyEkaXTTzizaHjkQPfBX/+92+654aZXPjvAAa6+vMXVV7TZvimh3YjwtFuqJ95lIolTvpc88DUCyiJLubrupJx6Xw3uos5E+YbDZzT//vemueOhGtRkwdoTupvM8xbpbmwlIFfck9LFumqwTzaZq3xBT7K2yBfg1VWHpX+ylkuSHdNVc1JKoC+swQl7MJW7RdcPqxg8vwBMyUbM7EKb+eQpk6fp/GQkefUNI375pztctDWEKAN18uwgNwXIwwzQmR9eshHXBHllhaqC21aQV6xmUeKqB7thgD+9BW968yrC0JMvTG95C0KosNP5S1Y6xxhHXroPeDE3unzoJ09ipft8MpgsuSViwi3J7EAXDK0NbueYGI5d0Pzi/5jiI7c3CEXmd5dS8SVbsBxYltl7srtoVQq+9JgTh6gCNzviE+S+9q38ywlWqpxMW/03q5I9QNEjVkgYmzbiWiFyF8XtaibSatDsZxdcZrPHnaNinZ1oXNDpPq+lpi3v+I4BiYF/97vTHJ8XBWLMWhSpSIwgzIYECa816wAAK2RJREFUpXvVu8zos6xZbg/AfMeHogwkDUgzMlgrjrAwiiwX797Cz/zQd4ZRHPOH/+kbABy9BT9o/iuj917RHS6/cjCKXGd4Ct4KS+Unt6q/y4ye6+4Sc8tnAbeUGbhTl0RU6020Nhyf1/z870zxsS82CGW69Zooy5Oy552C+1mG96yqGqTaCL36e2YHWVQO9Cra/l+8FUVWxdYiGUBWdbGQFhqtclSosDiZo5K5KulVJMjclPydnDduFFFs8VTC979uiFbwC78zzfF5v7AmsmaJNUBevJZ+9hTIrna2PICf9LPZ7LrKKkKK71o6pPn5k4Cy7NwyxcteePFXrrp0+7/qdPqrjuUq8VGrtbjrzju6Zxfn9i90WslwpAhjme/d6MT3pDyZsAVLzC3EpGsyCe5kDeYupeMzFtcJZ5YU/+Z3M3DrAtxikr2dNCkCS6o7AFMagyFsFeSTTDHB2muxdfHcfmMmf05kr2ZwJhjcORfl9LygLHfMBLBzLZ4NDTKyVJUoq5rcVqsQrVHEiUIn8PbvGPL/++kOm2cjV6NaznSakkYnAevkSpRJFlOSK5TS9ROavNy4kMuyiWxmZhN6WlD3Bds3+Mnlu5r777zzju70dOsbAxzcm/X6vZ8eRN7jKwNJGLmKwvwNymAu16OUgsZKSl6YEotPgrtaa+KYO6nUmkiVkGh476eafOTzGXPLNSRJVZr4aaZSi6LHcjJjWQGuXNteK+8/VEnuTIC+rGf+Z4i82tQ9UXuScWtZs0+wuMlYm7L2JnW+Vuvx1SDPNrcql9jK1F1xW4jrGN7x+gE/9l19dJKkIE9WgzzX5i7wjOxqkMelVH259juvT5kMPk3pu6fnxtOC6SnN9i21x0fD3k/LZzneawL8Va9+FecWRkmjfZENI+WWwIr3WiqqWqPGpAL+yXrxiQ6dSc2dMboDeoxUBqHhC/fU+dAXGozzisCJTGUOblFIkwzclOVIuUun6qJM1po8l4fs4Fz9xaos5jdH2s/5YrUYS5RALwrrtnIBpCM/yoVYplTLUgo6s93bTFaYZVUBepM5K1nwKfETyztfN+A7XjJEJBOW4SST2xKTZ0DPQD5Rv5LXhZdWoaT8fSwV4JP67Y2axw3X7rVTzSh5xS2vXvP4ap7l9vfe+DLCcPShO24/fmk8Ot/0SvtNqgqgqbK0KAeRtgrqcqo+lSUFc5dkiYwdi2uD1JZPf7XOv/qdaZ4+EkAwUV8iV0sTXZIm2djjfAwbE0DP8WmrG7lm2M3AnAedEzplDUCX3cLnwvtaqfoJZVL8u1KB9Kr6lHxcQ7lB2VYe86ymBYxA4FrfRbrXpUnFvECt8ZktoFBYrt4T8l//+Qr/UsKtX224A6ooZTt51sATQGRaHKe7BaSaPX2eBtAi3dAqK2BNLAiT7t6QLiBBfaa/ZedNH6rXas96jOWz/WLDxq327Kl9v33xnj0LdT+mFsQEfoKniw1WsxHG1c73cp+lmQB1yePOwZ1p7lIBlUiTO57lk3fX+fn/Ps3TR4O0G361HCmztxLpbsQlSVLIklIp71pSY1Jvl+TJJKYnQfy/pL3LQK7ocPH/tvflcZJUdZ7fd0RGHpV1V1f1WdVn9QXN1dBAA0uDzSjq4C7qfEZ0Rma9dcCDWZ3Z2UFmPorHeo3iqKvosOqwiIOi6AqD0BwNtIA03U1301d103d1112VmRHx3v7x3ot4ERlZ1dX0he77fLIyM/JlVmbEN37xfd/fFfFvJEBtzYvp4eY1kZQJdaZPcrvF1U2kobLcFl3RfFwIDlFhWNTp43MfHsQbV44iRNsxWHIjIfo6xc1IhsmIQiMfmmwfPyDwAwLPVw2mShVgZCzAnDnzjjz/wsavzZgxtZZbobYFB4BZXd2olAbgD6+FDMZCgk8S1tiOM4liTRLJClbSAq1puRUtYVyAcOWl/NtvNGDjDg1uyhMWm8csN6UJSRApCcSwODgsGoIUcNsgTkiHSQdPDNyW0lIbzdGUpEMjrqBAU5HIOodxKiAJay7DCD0TdWjUFSLtGism44dqhk9BqJoPSaMIRJPgK1kUDEMkUAGWzvbwmQ8NQgL45eM6uClmyWW1JZcEFbM/hfodRCsqgdSllGX8dROzIgx/D4CxigRrqMP8+fPR0lw/7m4eF+D5umllTvreP2tm0z1HDvYWAsnj7tOqVDOLg4cW3IotIUkPZdJyK84NDjzwZA6f+no9Nu3MaHAnLbdKXoAuQUY0uE1Xhlh2vA3qZMRgmkqScl+FX41qEttIrH2DYxsGxRbYk68lqYwMtbNEOQk7rpzYFEUXopcURAoL5Dq6UJeaUKWVBUgsz8b8PIlAUxACABXgrNkePvfhQQgJ/OrJHEJvWC26IhgCGoEckqja5JqKBIjkQjVfORTt0i1SqupVnfNnjpR8+v7ZMzvKxw1whkOi2Dh7HaPXDA4e3V5wUAkzQ2yQJ603I3b2vM7UITaVMQtKkQruXz+VxS1ftWgJTdO6TRoaCYvzmNIPYYAUtahJLQAnXg8z5QnC4KFobkTMQ0qStOQx/TBB5BOYrgK0iaOWKfNCp04cuNI68Aa0JIwkjDd1NRad2EqLdgYpBFmWXEcbhtycMFCtfoRnXAVY3OXhC389CCkJHlybRYAkyIkVIw5ARlGIRKfEEQnQEOjKkhstPCzsrP+3HwAZh+Ov3nbF4FmLOtftOjAoMM6g473I3KlgTnMvULl+yvSlXiE7BIcHoNRy+BCEzh3jqSSamhBjoYklBcYSFfwYuCUHHv6di499uR4v9SQsN+XV4Cbq4MQCqYg6axmRUby3BfTIoZMAc1IGTAGsfXJUM5Bk1FzakwlGleYdPwlk4mZr3mFzgph301ZP4tq5yuix3PihhGgKCJFIOpRMPbbc+kGgFZYKweJOD1/+6AD+0/ISmPBrqCuWq19GsSsqQ1/FqthqitDnSCSFAmWf4PBwgBUrzvZGy971Ha31vfNntY27S8cFuMMzkN5LKLZ07a04i3a8uLsIzxeQIjpqxpLZ2jczobE6p5LYi0vLM5m03A894+IjX2zE1p6sFTxlgzu+oASNwJ2sK1iVikYQt9LhLQ76yGLHowfTjHGY1UMmh+NxsF1FUSKwRuA38mCsvITt6EHt2BQpEo4gaQBt10+xwCzji00hKQLJLBmRQ1QIFsz08PVPDOCqC0tgwTggFwEgBaSUoUbuWUFZYVU1mwrDJPwHWLWC4o2r5uyY3dm198kXdsFJRA9OCuDqIDJ89Tvren71uPuegfJK9A246kcG6ixXcyKtm8QAbVeiCmDXETQZOTwTAA7wH+uyuPlLjdi6W6ebpYLbWlTqWGyuwW3z7ih+2+bg8pgWlbZ1Jilzx40gTDXhk0B4CuCjx1FVX3P9rJIWQ608brWTz4UwziPbm2lqHZo5NNbNzVDTMIlZMlXYU4NcVigWzPDwlY8N4MoLx0D9QAdo+Skg9zXIgYowlpxEBYSs30SIboxAJBpdH+983VJcc275PR384R7OJoTv+BwcAIjTjUp5DE4mu3/HluxjL2/ceBkdG4LjOOAkgIRVAoKoIj/MUkwUH7fkPxLRE+762H2EYe0LOdz67SK29tjg5hbntsHNQnA7VeC2ExRSAF1lxWVN8BqLLRFNiDBcC8EytBlpOQK1MG1Ss+IvRmqJPVlnVsZkQ2Pp1Vsibh5m+UiExVTVdpX5A92PSYY1xwHTrphSEeZ1Cgir1LIepu5JYP1yH+ieVcFXPzqAW78t8fQLWew+AnWJTS48hfkMhorWuClVsTRUSHCt+zMi4VD14V3T86hrWvpYruXS/UG2hIvqchMCfOJTAEDGzeGRJ57cdmAw97XeylnYupujVOY6Pcroy6bilJ20EIAyqyoVsyy3G2DrXo7b7mjAX3+hAVt2u6p2YFiz25YAq8Edy60kUZy3CW9NK1yfmjhsgA3UXISGC0kbtEnrjviJEU0/dnMeWmibh9t6d4JjG8Cnu/NT6EmVVY/TFNvraZebEHbMSkhNqLb4io8HAYcIGESZYeEsH/98Sz/+/kMDmD+9opImxrHkQns7y5LEvJtSqogMlwOd7QFueMtCnL0w87VdO9ZsKx4DuIFjsOBmtLXNgZutW+eX/fv62PB1nrcFNC8RrxGYLIxpBUwRE/LqgWcDbNvHcdu3GnDvg3mUBFe5ZCEloQlg8xgtcUgyBNbKr4yVX4ustQ3umPUmiHkwzZ9q2iKtM8GCcMqKksjY03Fhbqy3NAJKiuKSvLeBGlps8znhYlKGGelGMSG6+iwEQrWE6AKaUjtYKFWufuXoVDuLCqoMe5UlVztPyd4kinf1fLQ3Cdzw+lG4jsSn72jA9n0ZwEWKJScA5SqxHXpNA9XVjlHlIAICLOnuxsIF59w3ZeqidfCHjtloHDPAl3ZPRd+RfT2zLlp+09bnnmXlIfqmrFNGhtuNngJL5zYxJbp9H1HljHkmwPZ9Dm79l3rc+x95lAgDskmNO8WRUwPcJpDKBrfdx5ImYtZTw2BT7pOINJVPQ5qdxsMnQvN4o5YWjrg8CKk8IdWAtyhIQh5UmjiscFpTeoIYRqIBR3XSrwhlRwgKUAEpqE58sUGu/wcloBrsRIt2XimA6whcv2oMEMCt32rAjv2OztRHCl3hYW1y084FoIAIUMjn4KH+/gULL7xpV8/+3bO7ph3zbj0mimJGU8s0lPoe3d05d9mGjqkNyGVHkMlUkHE8cO4j6o2TVEtUYR6eFdh12FHJCg8WUILpk5MENT9mcLOYBZap1CRuuYGqpFwDao1cknIS2JY7pqSYv+OC+jgQLyPKYoM+6bYPFwnWfLMorU4DM5IiQmlRxKiKUTDS6IrJCLLpCg0DsZR0yOGbIp+Sw/cYshJ42+vGcOv7B9A5xQPKJu3NA6RXRVd8AYwFwGBAMOQTHByRKLROw4qLL9hwzwPPTArcwCQsuBmF4lSwXNfngtKGOUweeDvDQX1mq0OglAu1mAwL0TMfPiSeWe/imz+twz0P5VEhTJdVYxgv7HVCcBMZoyU2H67ZY8fm3xb+DF2xcRmz7FDyYZV1P14cG1pR46XYY2ltM5VwrNISYZIP0QFVus1C0oqHcSrUuPa1cwgyBL+y6MpiCyG0lR3HklMAQuj5+itKdQB8H3B4gLddNQoI4I57C3h+SxblsARFYgFKdLvxQKIsgVkdzVi8sOvuqy9f9rkXt+6dLFwnZ8EBgOe7MXTgvgGWW3JjLuc/XgnG4PBROMy3PJTGieODcR8lSHz/gTyuu6UZdz9UQIVxgDvWwpGn3KgqzE9UfXZ3AnAna5tQi2Mnk6Jj1plUW+oqy23ukxbceo3EpkzeYsc0cMtcp0uBMvUkiCXrwnqcZsX1DRKR5bZqi8cXmimZ+UYTt2oeBrEALa63cfgeBw8I3n7VGH7+haP4i2uHUTAlm3Wp5nh+ZxkZMYSphQEUc97jy8+af+OX7nxo4KKlsya9XydtwQGgfurbsbvn0VHBbqz8010/wMpFu3HdSrUDldEVYMyH43oYCYAf3F/Af/92PfqHnKiFCB3Pckfu9wyJWvuZcNfxwJ107sQK2EPWVEpipSESwE0DbLKEAarecxwI1yA1q9QY4GP/R7eSCeVBGa6BY4BGZNVjXNx8ppYKqdDqIBDW7ImsqrHkUlnwgIJSGeZL0lBmEtGOAdFl3bSHVW+j1EdrMcBnPzAIRiX+9edFjFSgDjIh6tiDgAN4y6VHcMM19WiZeW2FYHj0Hddeczx79fgADgAzZy2GEOKZSy64+uKHHn0st3JpL4r5CrK6PyXnPrYfpPjZmjw++z0NbicZS0ITj6OoQBNbEldKrDreCXCbcsdVrbZtqS9tMVmF3OgutqA8hvecqBFZc2Ir4bGMfBvMCEGsUU3MYtRQFGnlKZPwZZvemOA/ITRriC0CVWUsKRW4Q51c0xYIGqo1qrcmCYEvdThg5IAK0FQI8I/vHUSWS9y/poBth5UcAApQxtGUpbh2eX05X1jyeHvH0mcImTTRCMdxA5yQNhzqLf3d6iuulVPcox8dHH4mW5dTi82M6+PpTRy3fqcej67Po+xzFaQds9zxBGETV5Lk23EHjoxl5qTRkli1KNg3WQX2EMhJWmIDPaK71ZJgLWAfD+CTVwIL1aHsbfRtU6dGW3v7bRHnVoA3YIZZXGorThBZdiHU2knqHyy1qmKDnICCQsY4OVHRUpBEKkBTEYUCJIFurLpewDblA3zmA4NYfWkZn/5OI57aSAAagDlAA5PYsmfZkYP97nVXXdM0fNzofjUAB4AprVmx6fe/uHXe7GYvR1o+mXX3ZzKZEp7axPDJbzTisefzympzG8iJTgsw4I6cN/GGUArYxDymkfRHU26hHAjrsXkNlnKSuNmmOc1ax5STdMRX4XVSQ07wJou62PNDoJv4cWJ1ZdNWFdCyoAa70Ccn1fHjynIra0yFVOtJrWsbkBvDQCmFEAJSGyPA1I4XkKAK0EREawJicX5CIKmAAIHwGBzHxzUXlpF3juKTdwisfYnCJwQd82ZW6ppm/q/WlrrKq8En8CoBDgAz2/ZW6tpbbv/971oqDz2bv80rV+i3ftaC3+/IK32bElRn3kSFeQwAk8A2uZQxjm07cWCDNz0zvkoWJNWgTa4ha1KR2IoTVuxg7fmJt6Tj1vyhiY3mlmLZk679aKqabFtwS3AJVRJYikn4HSBVRg+VoEJAd6oxDAREEk3QBUxtFVCqW3ZL/XuluqIQgIJAEhFxcalaqzCp0+RIACEYmBfgksUBvv6JAXzj38twM42ioWXxbYe96V/q3Xfw9AO8OP19+D+/+Lcx7px7X6a+8OkH7n8Iz29qBhoyauERHg2CWNUpRHTE1Onm0P1yEFGSmgtHVHPuZI0TG8A2EG2qEgOijfYqpFZTGIIE0FNYy7hG2X7dkvqSDp+kU4ck+Des9yn6QUKZEIZ/w1h506pPWp9LDMSVqoIo5UFAgRxES4BUZfooDk4i601U3IrUjchUjJIGOdQJRzUfJ5quAIDnZ0AAnLughCvP99DSdpHsntN53+jY7rGzlr3z1cLz1QMcAC48ay46Z7W/vPbZwgc7u+u+2bBhAw0IwWgAiMBXRyG04DRcFMYWkdrlGwt3RcS3QwuOCMChI8feTpJArrbeSasdk/lSaEkS77XHCV5tIm7E014wdWGBCPzqZcuCS0VbzOfEa42ossUqLYyACGitX4brGHtfSb0INQkRhCJcfKoEC6q1eBUyLammJ1SG1pwCIcB9n6NUdjE8VsTK81eIUZz3waOVc17O8N0nZP8d//LUGl2dy/GrJ0qVi8+/8rsFp+7jq89pwezGCuqYDqxBRFMYVaUE8xTIUQmXmXLGunagzb11GWNT1thOHg5DYZP8G9Xgpja47XvLgteiE8n3JR/XAuUJG0kXpn4s7S9reTtt8NrauHquLbVJhAhPjWQIbaSLh8U7E48DK3xWxIKyKAIdTu0HKhDLD7h6bCUzQxIwKuAFQM/+PF7pXQyCto8vXnTVdy/ofqWybMl5J2T3nRALDgBvWLkAu/ccCD787mu3b9ywfmj40N3FB5/bhTt/3YRhvwgwAkeD2yUyAizibvMqRQQJ+mGpIRSWWmJ9Bojl6EHcOttWOsaia3Bze9SUCKv4+cTDtrZVr2GCk4TErboBJkkuQq0vkyxkGaor2oITQkKJ0Aw7bcwIlmrNqUs+6CsIJUInB5uirPrUIdBKjowyh5i6alMawAvK+NffELy4Yyo+duPqoRnzlm0fHjwUFBvOOU4UVo8TBnAAqKvLoZgduf+i5ed/KBvs/0pT057mXz9ewst9DWCUIM+ALDWLSMvpAlv5iHPqiG/LBPdGKPeZk8Ac0KQX09bAzTGf6DEwsaWuGibgMPV943+YPEazH6kTmnLYtERr4PbiMsrbNCAloVs+9qUNZ5bRHNODiMhon4sQxBr4QkIS3aMzpIMklGWFUbykilQE1PuzGQ+H+gM8trEDl65YdXR+97k3b9k5eP+cmcUThEY1TijAm5sa9I4+dBdwDeeN4nPFhrVtGJTIaUqSZTJ0yoSHPcV9XrMYZpKGVG1LcdFbGKsF2slieTwMT6T4He+QQOixHHdO+DjqfaOsaWSJ419aTRAhqC0NkiB2skRX0wjopoWP2QZExyH8L1SfBMwHiESpwlEsTMeH3/WmwwsXXvHfDg1U7lrSPf2E77MTCvDwx5Ap2P7KwJ3TZryJLl8efPblg+vaclSgwCUyWjlM8kVzlY/061q5kjWADSNVJeYg/hhIAX7qj0D0DhJ/iIned7IQnvgu4ZgQ9IqPGPUl9iWljD/X9wrMGvD6KmAscxzoWiEJKyvoBao0fF///0AdI8HVSVAmGeSbLzv8+rOv/hQweichrSdld7FX/xHp42tfuh1tcy5+vpDNHB4cHrt8ZGAg15AD8o5qIRJxZhKz2mYRGXowTc8c63GUyCDDx+EOT7rnkXJSJG8gVdsiKxV/HmnrJOW+1jZi/c4a/4vGnVNJTT95RSLk2G4Y7zOgFZPEmWOup0qjN0BNJDrAcjLZJ5fU79UL2UASBAGD53F4vsoCY8RHXcOMoyQz95axwR13FhovOlkwPHkAB4CHH/gxllzyp+unNBf2tBToam/0qFuXZVX6LgzXI1HjJ/sWA7d1WQwbNtmgQPIApgACNohI1evRSVMN8GjeCQZ4CqBrAnwyILbn2SO2KImsreEkYREhw1FAoteTx81slobpR+AXksL3GSpeBsNjGYyVgfqmzqFi44wPceb9sHnWjSdUdEqOk0JR7DGjngjKinfPapjmL5hGfzBwdGe2b8THpl1u1Vyzs6LsnMhS23Kd2aG27UFym00pJuLdJ4tOnMpRi6akRCKGvkvj/jfA1S8Zhw8hJCpIb06UcCFN9MJSRSJSnTRs9Hb7/3MmsWVPgP2HGRYvWFASrPm/BsjdOzjojVu050SME6KDjzc+ddOfYXqTF7jZjnsvPm/aDdf9SXtpxtQBlDwaOheEdQ7HCvVQq52frYVTVCktSWtuDqW5J3HDc/LG8fLvk8nbYXsrLS8oolgVO8w2WZjTZPcE+iYCamnhBCKI5pnda0r5SUngZgRe3juA/cPtpYFSxw2dM7ru3bTdCWYvueEkHgg1TipFMeOnP70H37j99XLF5RdufuCJgS3b9tZdG4z1OyWfYEjX1Q3bilD7JsO+lXYSceplHNU3s7dtgMe08PDyTqou5cdFUQyXp8dJUWiN3zbBrda+id+s/qbWmiPcSSHvtu6ThYWQTJiI3hteaU0nPSbAeYBSmeLgkSzOXjRzdMHc1r9483U33tsw62lxw5+/9VRA79QAHAD++Zv34gC5DLfdvGfT0QOzdy6eLa7euKc3+/JBiiyn4LppA6emTXO8MWssiMri6fYayQZteOhI9X2MmyJ9kVkFRugFWRXYrXs6CQ6esjg+Jg6OlG0TgjtxYqfcJ2MCdMSsVZbCAD4qFZcEOCERuDM8QGNxGK/0+ti0d9FAY9O89111fdfdQ9sfxKrVf3mqYHfqAA4Azz5yD5YsvhFvvGpkQ9eMxn2jcsrlL+4q5StjJeQ4CcGdYTJ8bEBfRUFqHPRwl6csrGL8PfY+kgqG0Lon5lG9YXKLzPicZNRjGphTAX+sYK51kkABsdYIwWsWl7Gyb8SqkRK5/M1QLbYVwB1eRn0xD5G/8MjGg7Nv3tWHH970jhGcs+IvTyXkTt/y6pUDfXAz/MYf3Lf29h/f+9u2wf4B5F2KfAbIOhKOacOjgWEWPrEslvCgRPfx3MXED7VBDRtcJGZBYyEDlEQUQD9mJHqs2nPreTSltTfVBULtOTT6bVUSKAFojJpZa5BQZdLyqJ4XtWUxfZLsKEupT8joORA/+cN9FWbcW4+h93WSs2uLTwk0oAWymQA514PDysjmi+jouvpwXdtVn5TC+x5zxi+SebLGSVdRao0ZHU0YGhr53vvftpLUu/js1+96uG1saAB1LkWGqyZDzIpmi3rOmIVSVCDeurLGgG8j3I7BsBd0JsvF8t+lZ7lLxPIeqy2DiaomVVtrWRFS4zlJ2UgmeH9Iz2CvMWTs3r4yVX99DWgRLfqToA8Dsaw5hABMLzI5C0BQRqEuj7opbzyca171qSCQ33MyjZNEx4kbpw3gAFAsFnB0YPS7b75mhV+W/Mv3/3JNEyn1Iu8CDlNWFVDZKCJQ7SxMQyJo6hDVgtexD1KFdAJxa26OqS5JHU4gJDpp7IMfPk/El4x3yUsNoDpWdSTJieOb1UfFzgCZmCNTPzK8hfEjkeQa7R/9CcKupRJFGkJLhVJ3QfMFQRAoZQVEXVk8n4DAwZS2DkzpvKwv33TJLYT6P6D8xMaWTHacVoADQHNDHiMl767rr7ngaO+B/XNbC12ff/rpdQ4hAOcMUgJeIOETCenLMMQtPDja5EoSlSsDEqEACdNssscJtcBvDnqNKL/wI2R0FTCFLBG6tuNvSDr50kaqRU2cTKknV/hEVlluo4MgtN4yXlXA0BTre5t9ZcpGmH0R/hdtWAJB4PsEFZ/C93VJOKiS2h0zL/Ky9d7f5Jsu20557peE1m4OdarGaQc4ABSyjti8Zev9H/2rN2Q2bX55NOfyO9avf5FQ4tMgAIbHfIggiqWw6QYFAANUoaLsAKPnWgdJWvMRZc8QC9jJCLyQCpnuZPaJBYs+oRqjr1rWJtUfEAcwqhbL0cJbxj4ilAk1vyfhFcCEsarZhn4EIvqh4efpDzO9cjyPYHCUwPMkmhpyYsGipbK1Y96HW2bM+/7e/b2VWZ3NpxpGqeOMADgALOxegA0bX6q0t0+5a3ik9IjD/LdmyP5/emHjHvQNMl1NKeqXaBaBZrEmJRAQ3V8Ris4Eupi6sVx2JQS9joroCbHijoCIy8cWYzqYKJxQw0QfD7pNsPW4E/RIWvjEPWCD2sp6CnucRqA1BkAIqeu+q45mZp+YFoxMZ+94UE4ezgX6BssQbCpmt077HzNmzLqnsaVtz1D/wcqszgWnBDPHMk66J3MyY+mSRZg7p2vMIQNb33XD6tuHWcdtQW52kM+7qMtRVDzVYcsLZJglzhhBhhO4DkGGK+UiCADPJ6j4qiuXL6Li6lVFcWT8qiDtJ6j2/CHxOG0cT3CFTW9s4x3Tq2MItu7CxWMiVBgW0BE18GVMgDMBR+vVDg/AqIoSLHsUpQpF2VMURAql+nAukHMDZBwffUMSQnKsvmJasPqKpts2777u9vWbD26d0jFrbMYZBG7gDLLg9rjyqjfhK3f+MLj53e/+hwMHe/mLv3/q4wf3PuM+sX4v1q7PopgFWFZJZxlOkHGU/Bb4EmOVAMMlgrKviDIhSkdnuhGSadctLQsdFcchMUDHFJcafCSW+GueTxS0bUaKJbY1amuZF22Lxc7Hw9aqtpE4TVEGQTtjdHlrQiRcSeAwiaFRB8NjFJ6vFCzXkbqQqkDeDZBzy9i6j2DPkWlYtXh5+fxLLvmfdcWWf9jyIkf3We853bBJHWckwAHg5ne/A4ODQ2CM/N3Fl15BSaXlYo/8mO48UHfxvkNHOGcM9XmKXIYil6VwMwwOB6a0jGBIlLFrTwE5TpBjKu8zDAIlBFRnvKit8fUaEG2IZbjHeHmcs4efUxPXk+Qs43GPxPNUR5elmEQSYdTqkVHlRne4ssgZ7mHzHoZNuzKoVDLgnCKbAURWwuECGRaAsWFI1uz3jtG1V77uzWLlBfPXlsri70ZGhlEo1J1esBzDrjzjx09/9u/IOpni0aHBbz+9Yefbtmw6QtuKZbQ2uijkOeryBK31Amcv6EXP0QN4z1emwvfq0JyVKDgSrk624DQKA7BjXKJ7Uh2yS5POG1Q7eUjkyGEEoIyEjh4zhyUcPUknj9pmfTfNf0ks6ExGdRlN4nXYq9TMi/cuNds4FapLtQa263go5kvw5TA++JVG7N3XhmVdGTTVcxRyDHV5gqa6Crq7BCqZRrRNvbo/l2tZEATlw4sXnXO6IXFM44y14Mnxn//0LRjo2zJUX8x+ZOmi2dt++sv1SxvdkesG+nYj60rUF4CWBg+uA1yyUODNy3vxo0eyGHMcuEzAERJ2zH5EJ6qTWqRFOWLDmGnLdCsZ0tYOoUslWLr1eMOoH/pxkosnw4LVLdI84yl6Fr2poduboChGBRweIJ8r4SdrJJ56qR5TCgz9Qz44A3wvwMCQQHv7XNQ1Ze9zms97aWbXMi+f5aN+cLrRcOzjNQNwAGho6gaA3r17X/n7j7y3u/Pw/pfxyu726zZu2gKCAeSyHjLcR11eYtV5Y/jfDwWoCCcWjpuU2mI6sJEO7e2IUxKb9Uqo1KyQuoSNoGCdAFUR0rHvEt7bQK4SZ6T1NyEVmvdWUZW4rBpbW8DE3As43Mdvn3fQP0rR4BIMjvjIuwJtLU2YM3ch5nUvuK/77EU3Dw4N9zQVxm/ZdyaO1xTAzZg+fQa80pGe1oXdt2TdzF1NbXNuGu3fcnlWPI+cO4LhMQ/3rilCVTVVw25xYhQJ23kTOYxkGCkXawZlgGsMeJJWJ9z/kx2hSz3cIGNngO2VBGRcAjSW29K3YxZcai8kiZpOmW8qAoL/cnkJD/2ugiNDDjrb6rB8+SJcetHiNYRlvzp9etf6/qFKz4xpk+uscKaM1yTAAcDJtgDANinlttnAhu2by1ObG2Z9C5V18+5/5DH28O+bYPiGiTPnVKo6oLYKgjjIq+psh4vMdBdn3Lrb5Rj0qxPwlKRDMh7GmyIZ2qCPzbOaalmLTbULzAmrkkwCphIVCFFOm0sWS1x1wRh48bLgDZcu3pbnlfddcMFF+wFsJWT873+mj9cswM3QB2CrXz60FfCv8UbJ9IXLrvzJ6kufqN/as71w8OAYXObC5SpC0dVXWc9XTiEDaGa8PzZNAaJIujRwW/NM4yezQSZllpo/wAJ16I1MLxYaSpKxkFmJNI3cLC4BIJAUnk/VdwIAUHDG4QcVHBgoolh/4chn/ubawXWb6fXnLJ69N8NZz2sd2Nau+MMZI2MS+SzoSzvHGojYtKJSqXznZ7/Z5m95aVfznn1Hig4N0FSQCCTBwX7lFTWZQ5yZRAu9iNN7hhGAMYAzpQ0zRqLsGb0DSUJFCeca1YQpBSWpoqjP01cXZjRq9X3sWG4gSsZmTIIzCc4EODNVBaIQWHWVUmqJST4IAoK9h10IQdHa5CGfFWCZ9qFpMzuO9vtncc/PveeCc7qeAhoHACEIOaVpAid1/EEB3AwpewBwuv9QX3bZlTeVH7znW5/40c/XvvPw3l3ezGZ/YX1dKfvoi4ewdWcejXll2ZXDCOCatwuhPHuMEji6GRxnRAGcVBt0A3AzhzMtGbII2BMBnGvwGpkwdqBMq0Qm4XAJxxHIaBDb7bk5k3CdANzxwalAMV/Gpp4yNu7oRHtzoXTOQmyeP7/dyTatumvdw3/+xdbFd7kDpaklTiti5bmnJ2b7ZI7XPEVJG4R0AirsZHTDll1wM/zzjLPPv+nqZWxqW/GO6a2HFsyZ/8LKL94J5mIEw6UAFc9Di8OQdSk8H+gbUwvSDJdgTKFZgdRwXBW9KEQU12KCkagV32IKK9QKWTGsIQQwVSCmmjKZEANIouNBVPIHI1BOGEeVK+4bzKDiU+QyHnJuCVmHouK7YE4Wu4cag7ZZyx7v7mrc6pOhD1LaG3CexYrX3S2LjXNGT/fxOpnjDxLg9lja3QVEwoZfKR9+r5PJNPH6Cz/zJy//NrN1W08w6OfOy3NxPq30IuuUkcsK7On3US5l0FqneDujRFtZZYmFBAJPwg9kGPwFqHkAEilsQJXwJ+M3QDt0mDqpKJVK8fAIAk/3sFQ9msCZqg6V4QEa60YxWilh864muE4WndPzaG1rRi7rP7vvEH1OOF3sXW9dVWFuy9/KoNzX3nZyKkidqeMPHuDJkXHbAKAPwAcA4F/+7VEA5HImSqsLdPT6DKt0tzf3Aw89i9886aLslVAqe8i7FIxm4DgUGU5BKUH/kIeRkoCUEg5XAOZMhjmYxsOZGl+uEzMEVAcFKQkYEXC4RNZVKWBCAGNlFR9CCJBxCAI/gPB95DMVONxHYz3wzAs5sIbzMK+zER1t2S1TptOfFHLkN+0zsKa+4w2ne5ef1vFHB/DkeP+fXQEAa/r6+tYAeCwIgrmFzD6xqeclcXRk7uxz5rV8cv/ePZjW5sIv7UfPK/2gjotZ7QIzOobwowdzYCCozws0FAjcjHLRc07hcEWkZdhNgUR/SRTSCyiODyLh8ADFfAXFvAdKBR54zoU/QjFzCkcuKyF4ExZNb0Nb0ximTetAwem5fd9A/84rV15Oz57fTB3H2Q7I/1tsaDrdu/aMGH+Qi8wTMXpeOYRc1m3c0bPv8uee34D2Zteb10k+eqCXvo5SB9NaS9iz+9f48g9d1BcD7D7AMHcKQ94N4DKBYh1HXQ7wRYCj/RKOwzS1UIvWjCNxZEAg8CXyOYrGIkVLI0dbM0HXtD70HJSozzF8/5E6rFq+Ep0dWTAH2N+HBzvqKl9ubSw502cuRqF+2prAL/dnC+2ne5edkeOP3oLXGp0zpgBAP4CfA4A3thOEYPOUo6xdgolibgyHDj2G1kagtUWi5yCHHwTepRdfeGvgjb4x5wqvqSjRWD+A5zfnkM24YFzlNHJGkM/6eG5bCU05B/UFhpYm12lprvtF/4F1t+azcI4Oc1CSQXN9HucuW4IpzVmAgDYNk4ME2Llk3mvTs3iqx/+34CdwPProEwAh7X1HDze4ji+b6gWmtvbiyRfqkXVzYFRREk6BXM7HE5vGMK3eRX2BoqU5R6ZNbR+QkAeXLD151Vb/2Mb/Awyc0BoE1+uOAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjM0OjEyKzAwOjAwaKAVewAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzozNDoxMiswMDowMBn9rccAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44654875
{'hecke_orbit_code': 22518616645698466, 'n': 1, 'trace_an': 8}
-
id: 44654876
{'hecke_orbit_code': 22518616645698466, 'n': 2, 'trace_an': 0}
-
id: 44654877
{'hecke_orbit_code': 22518616645698466, 'n': 3, 'trace_an': 8}
-
id: 44654878
{'hecke_orbit_code': 22518616645698466, 'n': 4, 'trace_an': 0}
-
id: 44654879
{'hecke_orbit_code': 22518616645698466, 'n': 5, 'trace_an': 0}
-
id: 44654880
{'hecke_orbit_code': 22518616645698466, 'n': 6, 'trace_an': 0}
-
id: 44654881
{'hecke_orbit_code': 22518616645698466, 'n': 7, 'trace_an': 4}
-
id: 44654882
{'hecke_orbit_code': 22518616645698466, 'n': 8, 'trace_an': 0}
-
id: 44654883
{'hecke_orbit_code': 22518616645698466, 'n': 9, 'trace_an': 0}
-
id: 44654884
{'hecke_orbit_code': 22518616645698466, 'n': 10, 'trace_an': 0}
-
id: 44654885
{'hecke_orbit_code': 22518616645698466, 'n': 11, 'trace_an': 0}
-
id: 44654886
{'hecke_orbit_code': 22518616645698466, 'n': 12, 'trace_an': 8}
-
id: 44654887
{'hecke_orbit_code': 22518616645698466, 'n': 13, 'trace_an': -4}
-
id: 44654888
{'hecke_orbit_code': 22518616645698466, 'n': 14, 'trace_an': -12}
-
id: 44654889
{'hecke_orbit_code': 22518616645698466, 'n': 15, 'trace_an': 4}
-
id: 44654890
{'hecke_orbit_code': 22518616645698466, 'n': 16, 'trace_an': -8}
-
id: 44654891
{'hecke_orbit_code': 22518616645698466, 'n': 17, 'trace_an': -4}
-
id: 44654892
{'hecke_orbit_code': 22518616645698466, 'n': 18, 'trace_an': -16}
-
id: 44654893
{'hecke_orbit_code': 22518616645698466, 'n': 19, 'trace_an': 0}
-
id: 44654894
{'hecke_orbit_code': 22518616645698466, 'n': 20, 'trace_an': -4}
-
id: 44654895
{'hecke_orbit_code': 22518616645698466, 'n': 21, 'trace_an': 12}
-
id: 44654896
{'hecke_orbit_code': 22518616645698466, 'n': 22, 'trace_an': 4}
-
id: 44654897
{'hecke_orbit_code': 22518616645698466, 'n': 23, 'trace_an': 12}
-
id: 44654898
{'hecke_orbit_code': 22518616645698466, 'n': 24, 'trace_an': 8}
-
id: 44654899
{'hecke_orbit_code': 22518616645698466, 'n': 25, 'trace_an': -4}
-
id: 44654900
{'hecke_orbit_code': 22518616645698466, 'n': 26, 'trace_an': 0}
-
id: 44654901
{'hecke_orbit_code': 22518616645698466, 'n': 27, 'trace_an': 8}
-
id: 44654902
{'hecke_orbit_code': 22518616645698466, 'n': 28, 'trace_an': 4}
-
id: 44654903
{'hecke_orbit_code': 22518616645698466, 'n': 29, 'trace_an': 8}
-
id: 44654904
{'hecke_orbit_code': 22518616645698466, 'n': 30, 'trace_an': 8}
-
id: 44654905
{'hecke_orbit_code': 22518616645698466, 'n': 31, 'trace_an': 8}
-
id: 44654906
{'hecke_orbit_code': 22518616645698466, 'n': 32, 'trace_an': 0}
-
id: 44654907
{'hecke_orbit_code': 22518616645698466, 'n': 33, 'trace_an': 0}
-
id: 44654908
{'hecke_orbit_code': 22518616645698466, 'n': 34, 'trace_an': 0}
-
id: 44654909
{'hecke_orbit_code': 22518616645698466, 'n': 35, 'trace_an': -24}
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id: 44654910
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id: 44655129
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id: 44655131
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id: 44655132
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