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mf_newforms • Show schema
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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [31, 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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 3668058739721274759577600, 'field_disc_factorization': [[2, 30], [5, 2], [13, 4], [263, 4]], 'field_poly': [1, 0, -43, 0, 492, 0, -1138, 0, 1130, 0, -571, 0, 152, 0, -20, 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': 1, 'hecke_cutters': [[2, [5, 0, -27, 0, 30, 0, -11, 0, 1]], [7, [50, 0, -406, 0, 215, 0, -32, 0, 1]], [11, [108160, 0, -26208, 0, 2248, 0, -80, 0, 1]], [13, [96800, 0, -31656, 0, 2746, 0, -90, 0, 1]], [17, [81920, 0, -31488, 0, 2820, 0, -92, 0, 1]], [29, [295840, 0, -66152, 0, 4602, 0, -118, 0, 1]]], 'hecke_orbit': 63, 'hecke_orbit_code': 279223176930532159, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 320, 'hecke_ring_index_factorization': [[2, 6], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6975.2.a.ck', 'level': 6975, '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': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '1395.2.c.g', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(\\beta _{1}-\\beta _{10}-\\beta _{11})q^{4}+(-\\beta _{9}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6975.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2268230521106661356, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.131', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.675', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8.665', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2340.172', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '644369.743', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.765', 'prec': 17}, 'traces': [16, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 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mf_hecke_cc • Show schema
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'embedding_index': 14, 'embedding_m': 14, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.1194036796285876, 'hecke_orbit': 63, 'hecke_orbit_code': 279223176930532159, 'label': '6975.2.a.ck.1.14', 'level': 6975, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 26, 30, 18, 35, 32, 35, 41], 'Nk2': 27900, 'analytic_conductor': 55.69565540984307, '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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 237, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13, 17, 29], 'hecke_orbit_code': 33561407, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 10, 11, 11, 16], 'label': '6975.2.a', 'level': 6975, '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': [3, 5, 31], 'level_radical': 465, 'mf_dim': 984, 'mf_new_dim': 237, 'num_forms': 63, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 237, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [237, 0, 0, 238, 0, 0, 0, -3, 0, 0, 0, 0, 0, -7, 0, 248, -8, 0, 4, 0, 0, 6, 6, 0, 0, 36, 0, 9, 32, 0, -3, -6, 0, 16, 0, 0, -2, -7, 0, 0, 0, 0, 30, 42, 0, 26, -28, 0, 211, 0, 0, 6, 6, 0, 0, 6, 0, 10, -28, 0, 12, -4, 0, 317, 0, 0, 48, 18, 0, 0, 36, 0, 14, -20, 0, 9, 24, 0, -18, 0, 0, 11, -12, 0, 0, 20, 0, 28, 20, 0, -14, 8, 0, -40, 0, 0, -4, 7, 0, 0, 48, 0, 0, 68, 0, 62, 52, 0, 20, 0, 0, 21, -44, 0, 0, 88, 0, -5, 10, 0, 273, -36, 0, -6, 0, 0, 8, -40, 0, 0, 72, 0, -2, -24, 0, 20, 8, 0, 60, 0, 0, -49, -20, 0, 0, -60, 0, 108, 138, 0, -42, -30, 0, 82, 0, 0, -32, 100, 0, 0, -42, 0, 20, 29, 0, -54, 112, 0, 255, 0, 0, 46, -14, 0, 0, 102, 0, 42, -6, 0, 36, -78, 0, 42, 0, 0, -24, -4, 0, 0, 104, 0, 64, 33, 0, 303, -42, 0, 16, 0, 0, -79, 122, 0, 0, 63, 0, 24, -180, 0, 156, 18, 0, 57, 0, 0, 4, 111, 0, 0, 12, 0, 48, 169, 0, -107, -12, 0, 110, 0, 0, -92, 8, 0, 0, -97, 0, 158, 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0, -132, 112, 0, 0, -436, 0, 112, 196, 0, -42, -14, 0, -527, 0, 0, 248, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49106881
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 279223176930532159, 'target_is_minimal': False, 'target_label': '6975.2.a.ck.1.14', 'target_level': 6975, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49106882
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 279223176930532159, 'target_is_minimal': False, 'target_label': '6975.2.a.ck.1.4', 'target_level': 6975, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49106883
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 559, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 27021735236732275, 'target_is_minimal': True, 'target_label': '1395.2.c.g.559.14', 'target_level': 1395, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49106884
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 559, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735236732275, 'target_is_minimal': True, 'target_label': '1395.2.c.g.559.4', 'target_level': 1395, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49106885
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 279223176930532159, 'target_is_minimal': False, 'target_label': '6975.2.a.ck.1.3', 'target_level': 6975, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49106886
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 559, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735236732275, 'target_is_minimal': True, 'target_label': '1395.2.c.g.559.3', 'target_level': 1395, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49106887
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 559, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 27021735236732275, 'target_is_minimal': True, 'target_label': '1395.2.c.g.559.13', 'target_level': 1395, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49106888
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 14, 'source_hecke_orbit_code': 279223176930532159, 'source_is_minimal': False, 'source_label': '6975.2.a.ck.1.14', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 279223176930532159, 'target_is_minimal': False, 'target_label': '6975.2.a.ck.1.13', 'target_level': 6975, 'twist_class_label': '1395.2.c.g.559.3', 'twist_class_level': 1395, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4343075
{'charpoly_factorization': [[[5, 0, -27, 0, 30, 0, -11, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 2}
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id: 4343076
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 279223176930532159, 'p': 3}
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id: 4343077
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 279223176930532159, 'p': 5}
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id: 4343078
{'charpoly_factorization': [[[50, 0, -406, 0, 215, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 7}
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id: 4343079
{'charpoly_factorization': [[[108160, 0, -26208, 0, 2248, 0, -80, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 11}
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id: 4343080
{'charpoly_factorization': [[[96800, 0, -31656, 0, 2746, 0, -90, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 13}
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id: 4343081
{'charpoly_factorization': [[[81920, 0, -31488, 0, 2820, 0, -92, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 17}
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id: 4343082
{'charpoly_factorization': [[[-4, 52, -45, 0, 1], 4]], 'hecke_orbit_code': 279223176930532159, 'p': 19}
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id: 4343083
{'charpoly_factorization': [[[54080, 0, -48048, 0, 4388, 0, -120, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 23}
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id: 4343084
{'charpoly_factorization': [[[295840, 0, -66152, 0, 4602, 0, -118, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 29}
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id: 4343085
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 279223176930532159, 'p': 31}
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id: 4343086
{'charpoly_factorization': [[[231200, 0, -140264, 0, 8730, 0, -174, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 37}
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id: 4343087
{'charpoly_factorization': [[[48841000, 0, -2383108, 0, 43117, 0, -342, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 41}
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id: 4343088
{'charpoly_factorization': [[[80000, 0, -40416, 0, 4808, 0, -144, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 43}
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id: 4343089
{'charpoly_factorization': [[[81920, 0, -132608, 0, 10436, 0, -196, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 47}
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id: 4343090
{'charpoly_factorization': [[[619520, 0, -112832, 0, 6596, 0, -148, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 53}
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id: 4343091
{'charpoly_factorization': [[[156250, 0, -168750, 0, 9875, 0, -180, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 59}
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id: 4343092
{'charpoly_factorization': [[[-2048, 1792, -96, -16, 1], 4]], 'hecke_orbit_code': 279223176930532159, 'p': 61}
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id: 4343093
{'charpoly_factorization': [[[2420000, 0, -2178576, 0, 53666, 0, -414, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 67}
-
id: 4343094
{'charpoly_factorization': [[[5550250, 0, -939978, 0, 28339, 0, -296, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 71}
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id: 4343095
{'charpoly_factorization': [[[96800, 0, -70024, 0, 9818, 0, -206, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 73}
-
id: 4343096
{'charpoly_factorization': [[[8, -48, 62, -18, 1], 4]], 'hecke_orbit_code': 279223176930532159, 'p': 79}
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id: 4343097
{'charpoly_factorization': [[[5000000, 0, -476832, 0, 15732, 0, -212, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 83}
-
id: 4343098
{'charpoly_factorization': [[[160, 0, -232752, 0, 18082, 0, -374, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 89}
-
id: 4343099
{'charpoly_factorization': [[[2121800, 0, -1071004, 0, 37033, 0, -386, 0, 1], 2]], 'hecke_orbit_code': 279223176930532159, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 63, 'label': '6975.2.a.ck', 'level': 6975, 'portrait': 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pHHhZsSfGVItCDJAhZ7klHkE3gCYTTrZzTrpjOWeiG9kWCc+iwPBZumNYtdzbGzioYfsGkOtq2P2Tg/ZsN8xKb5iG0bDRdsUlyx3aep2hw+NsX9Twc8ui/lyaMJmerz3bd0eftLDU01z76jMxw+5XHyXMaZHNwHzhtuuGqBf//uZbavm+bUuRnOLTdY7PosdSUr/Yz+MGMwFuw/cp49x7pXPLnvzMsPHz994dGTZ79802u/N77ntk8+35D4a93+VjP48nKXcWzwFO+969EDL/3F3/pz+f23HHnpv/6+E97C0iYWV6ZZ7LZY7AYsdj0Wu7DUzVjqJiyuZJxZgYOLgvXrVviVH17kxZe2OH52jlPn2pw673F20XDmfMqJhYxz/ZSZuTEvu2bASy6HQDYJVcjZpQanz3ucWRIMI0hTTSPQtBsZs9MpGjh6JqU3gB0bfdrNCGMEiIDBSHPBpojFFQ+MlSIrA4hSMBiWujFbN/j0RwqhDEJHTDV8Ltg8ZmUoOHrKI9Me81OSTkMQ+pCmgmEkObMkOb1oOLucEoZj8FNuunLAS68SrJ9qsrg8xfGzIafOw9nzKWeXUk4uwcFFw4uuPM+v/vAym2amOHZmjjOLTRaWA853JUsrGcu9hOVexlLfcL4vONaDlcUu/+3/GKc/9KbwXm/uH2uvedW9SuhfTLRPozn1fEPlOW9/axn8jz/6SW5+yfX87L/5N7/28U/f/q9//2O3X/zsse6FB08O5UuvHnLRZk2mPYxRGGPZGyMBCQiEMHjCEEg4tdjkwQOSa3Ytcfn2Ma0G+J4k8BVB4NFuSlq+ZDjw2XukwVcfDTh6LqKXJuw9HrFxfom3vGyZay7u86LLuxw5n3J+KGiFYw6dMnR7ba6+SLIyzth9RNFpeTxzFC7ZYhjHGeMswPMSZjuw53iI8jJ8meL5MIokL758yGgouebijN4o4+ipDjs3KdqtmJXIsGFmyPKgx5/fDo8fznjy8JgdWxa59rIes3Mxb76pz/e9wrBrU4csmeHwyWkOnvA5fkZz4lzCiXMZB88Jjq0kvODSBX7lh/tsnJnh+Jk5zi62WFgJWOxKlrsZ3X7CyiBjeWBYGsDZoWK5l/LiKxZ5z99bkA2PC8+ePr6zP8xuDNs7m63O7Ncevu+z/MEf/unzDZk1b38rGfxPPvZJdu3crJ545vD/efT4mV969Okj6uRCzMLY4/RQc82Os/zmTy9w3a4WZxdnWey2WOo2WOr6LPU8lvuw3M1Y7qUs9VPOd+H4ssBrjrn5qiW+/xUxOze0WRlMcW6pycJSwPmuYKlrJcJyX9MbaXqRYThOmZ9KuGCjBgShbzhxzkfIkB0bFDu3GLZsGHJ2OeKJ/R1eeImh1Vzm6QNzdNoxcewzP6sZjeGKC8Z87PYZLtueEkWGddOSJBvRaYQ8c2RM029z3aUpTx6KObsYsHU+ZOdmuGBTjFIJJ85D4BuEMOzYmDLbkfRHIYOhT2/os9RTLK3AYlez1M04380404XFccYFWwd8/yvPc/PlHg1/itPnpzi/3OD8isdST7Dc1az0E5b7GSsDw+IAzvQVZ1dSXnzZGd7304tcsq3F4soUS90m3eEMqrkra7Y3/VpnasevjoZnspte/rbnGzqrbn+rAL5v7z4azUbz5MkTFzz8yNPvOnz01H/cf+gEcSrpjWF5KDg3VJzqp7zoojP8l59e4tqLmpxbnmVxpcVyr8FSz2e557Hcg25fs9JPWe6nLPUMZ7uCUwMDYsDbb+ny5hdrLtrcII5bLHcbrAwCun3F8kDQHwrGkSFODVkGShpCH5qhYWbKsGEuwfPHHDwd89SBEJ22eeONMZ6/wiO7p7lwM3zxwZRbrg451x3R8BRpljA3C2ni4/kpi4stXnZ9jy/e12HnZnh4f4RPize8WJOKEU8dzDh8ooEnAzbOesy2Bc1QEAQCJSDVECeGcQz9oWFloOkPNStDzeLAMMoydmwb8uaXdHn7S2PQHRZXpjm31LR6u+ex3IWVfkZ3kLKSg3tpCKd7ioVexosuPcv7fvocV+5ocn55huV+i24/pDvw6Q4E7c5WGp1N/2795sv/YtvWrcei8Xh08aWXPd9QKm9/awB+/Nh+NmxYF+zfd/BH9+w98P4HHnpMnF8ayDgxDMeawdjQG8HKSHJuJDndT3jxxef4jZ9Y5PqLG5xfmWFxpc1yL2SlH7Dc91jpC7p9Q3eQsdJP6Q40ywPDub7gdFczOzPkdS/qc9PlKTs2KqaaPr1+g9CXgCJOJVoLtIHhGBCa2c6Y/ScN2sTc9nCbaNjk4q0BN18zJNEr3PnoDNdd4rP/zIDu8hQvuWbI1x4J2Thn2H3U8E/f1mP3kZCNc5KvPqq4+QrF0rDHoeNzXHdpzJ1PjUijFjddGbBr+5hROuArjyjIBAdPeEy1PDwBw5FEG0GmDUkKSI0XaLoDQ7uTsH1zxEuvGPK6F6bMtxucXZpmcaXJcs+em+WeoDuAbj+lO0jpDjK6Q8PSUHKmLzjfT7nxsgV+7ScWuHZng4WVaVb6LXqDkN4goDfyGI4lw5Eg0Q2946KrzYUX7nrPhRdd/EdL5xfiK6742wHyvxUAT9NUJvHwLY899MWL+4PsfQ8++LDfHwlGkWEUpYzGmsFIM4gM/ZGgOxKcG0lOdVNuuuIc7/2JBV64K2ClN83CcofuoMFKP2Bl4NHtK7pD6A8MvWFKb5AxGGm6Q8PCQLAwgCSLuPaSEZvmMgZDw5teEnHhJk2aSTxpiBO444kGx8412Dyb8vTBBugWl29TXH+ZJmwMeWT/kIXzba66sM3UzDL3PelzwyUNFocrLC9PsWmT4cHdin/w6gEP7fbYtsHn/KDL8tIc118x5L6nM+aaM1x18YBz3S4PPjtD02vzossMl14wBjngicOCDXMJZxcS7nzCZ5wopIRMGy7cHPO6l8T0B4ots5rrL4E4brHUbbHUDVkZ+PSGiu5A0htAb5jRG1i3pDfUrAwNSyPJyZ6gO4q4+dIFfvXHl3nRJfbi6Pab9IYh/aFPb+gxGCsGI8lwLOgNMnqDhBdc96JEG+/nvv+d33Og3W5+PvB9/Xxj63nPZI5HQ6Jo+MNHDz76m2dO7p9bWFii1VQYYQNFAEwKgBDWAhTCIKVBSo+H9m3kFz/o8babl/iBVy+xc2vMmcUpwqBJMwxohT7tpke/KemMfKbbHsNxxmCUsTHSjCJDfxyytNDgxHFDnGpOnkkJQwMIAmXwpGA4Ugh80qHHCy4U7NpiuGDrkCjr86WHFHsOzPL6F4Zcf8UyH/mSIRAtLtw65Mn7FFtnFOumhjRUkzjxOdeHdsNj20bB43tirr+0ySuuO88f3zoi8Du89kaDHw75+oMxX3ygzbOHm1y0pcWFmzPWz8bsXJdw9YUZSmk8ZQBDKwxZPxMSJz79YcDT+31bojBSDMaSwQgGY8NgaD97f5QxGBl6I8PKCBaGirPLhtZ0l5954wJ/7+aIay9qc/r8FN1Bg34O7v5IMcj/zeFYMBwZohiSFO665yF/emb+N7fd89DSy2958b8aDIZ/3G63nld8Pa8Aj6MBCH782KH737v/mW/MDXs9fN+jmYncFRGAQggQIsvvbSeNkgYlMwIpeXL/eh7b12b/qXO87aUDXnrlmJnOFEvdFu1eg6lRwGDo2S9nLBmNPYaRxzgyjGNNnBiSxJBm9ojTAKNBKoHvCRqBYKYjmO3ApnWabRuHrJvt8uVH4K7HfKSe5vUv9HnB5X3ueTYhHk9x8wsE3dGIc4ttbrpUs25mSNMLGaeKhV6C0oIXXOrR6kQ8urfBy6+f5iXX9nl0rwIzzQuvDPix717ia4/HfPWhNruPNbhgvWLTXJPZTovpDjRD8D2DkqAN7D4syDJBkgriFKIE+xmjjFGkGUea4VgzjDSDEfQiWBhIzvUh0mNec90Sb3lpl7//Wk2aTnHmfJveoEF/FDAY+QxGiv5IWWCPBaOxYRhpxlFKnBqixHD02Gk+/skvzQ2j7D+95Y0v9/qD4Qc7zyPInzeAJ+NFpMh+7OyJO9979ujtGzwGdNo+49iA0VjuLiw/hRACKcnBDUoZPGXwlabpC84Pm3z89m18/bEet1y9wrtfs8LVOwfMz7RYXGnRH4UMR34ObGWPWBAlkiQVpKld6k2+aChp8DxoBNBqauY6CVs3DEkZsP9kwp/f2eDQ8TYzYZMbrvS46ZoeD+7rctv9U9x4SYMLNg/52O0CJUKmOgkrgwhtQAlYPzWk1w/QaZO33HKOj3+xxa6zDd5845A4WeTOp+ZJsgYvvnIDb76hxyXbu3z90SFPHm/xxOGAbXOSuSlBKxQEvr0IZX7xawNaG5I0v1gTC7xxrBnHMIqhPxYsR4KlPghvzHWXrfDu161wy5UZ81NNlnstuv0m/WHIYOwzGFUrwTCSjMYwLC6cccY40oxjK+VSozh+ustHPn7bht7IvPft3/Uyc/rs0oc2b5z7uw/wM0sGqRDrp4RJFz/6I8Nx8r7hwv51oRwy1W4wiiRF8ZplaxBC5IdESQ8pM5QS+fKs8ZUh9AxNT7A8Vix2Z/nEHW0eeHrAzdeu8O7XrnDdri7zWZM0DRmOGwxGPqPII04USSpJM0mmBdoImwUVhjDQtBopYRAT+BEnFyNufVhy4ETA4ROzKB2ya3PAFTsVL7y8hwoXeOpgh60zLa66CDatX2apN8XVWyWpNnz5oZBoKJlpp7zhxWM+f2fCsTMdLrvY5/TKmGcO+WzfOMu1Oxe458k+9z0jiOKAy3fOcfn2kMu39Tl4eokDJ+GhPS32H2rT8gShJ2mHhoYPUtqgyhh7saYZxCnEmWAQCXpjQS+BWKdoM+ZFl/R49+t63HJ1xua5kPF4msVug/4gZDAOGI6s1h6OFaNIMBpLRpHtGx1HGeM4XxliQxRrRrGVK+NUceZEj9/52B0b7n321PtmOyr96V/51Ed2rd/Pz//Tn/27C3DMGGEatxw++vCHWuP/PNeWZ9aFcpqpdgulJFKAFLnGFso+lwIpJUoJPKXye42nMnxPEHiawDeEvqEVZMw0BP3IZ7k3yyfvmuL2J8ZsnB3yrld2uXz7mPFowFU7Dds3KaLEJ8uqNL/AIKXG9zKOnjUcPiNYGWk+d0+Lk+dnMbHPbEOxZd5jxyaPi7bCVbt6aHmeD3y+zdLSNDde7nHVri5ff0IgUp8Ns5J2K2WYBEgjwUiUF9AdC84uCa40LV75wj73Ptpky7qAG6+a4x9993n+6It9HtrbZjD2WVzpsHNLk8s2D3nxpX2+9+V9Ti0t8bl7QhaHIUdP+5w8GeAre64EAm0MmYZEG7JUMzufcM2VQ6Io4fLtEe94ZcSGacVcJyRJGpxeaDAcBQwju8qNSmBLC+5IMI6wK0GUMY41UZQxjg3jxBDFhlEMo8ReTP3M4/DJLk/vv3Pda2+Y+u+vuWVLsqV135/+7K//Lv/pF/7J3z2A/+Qv/S6b5hfFX33hEztb3r5LN3QOcOlWn2YjQhubUBXYQFJKHyWMlSRSIiUoKfGUwFP5vSfwvYzAEwS+puEbmomhFRumGxmzTcEwlvTjNodPtPmNP50DnSLSlBdeM2Tnppg0BW00xtgkjhQCqQSeH7D3WMDuAw3aDY9OIFnXEqyfl2yY89iyXrFjc8ZlO1bIxCK//ekpjh6b4cZLfS6/MGOU9rn/qZCZps/8tGGmE9NqWimktaQ7ViwNDIvdjO6gycuuWuHh3UP2HFPMTDV48ZUz/MRbFvmdz8CjB9oMRoaVvsfZpSk2rWuxYXbMjvkx/+adQ6ZaXZ48DHuPS3zfoJRBCA0Y+z8DaQoXbsq4+eqULPFJ0hBjWoxjnzPnA0aRXdHGsSrl2ygWjCPBOLasHcU2KxtFmijWjBOdv2YBPo5hnAiGsaAXC5ZjyShNMOmYQ8dOzlxxJv7DndffnL7vH2afeN8/fq8Rs7/4dwfgP/mrf8rm7Reov/9/fO7t7/3Q8Q88u/8Qr7hujl/+8T5XXDDEIKoAUgYoZVDSz+8VSqlcb0t8z2rOwFdEviSKNWGcESWGZqKJEk0cG6ZSiBJNlEKcCsaJJMpCkqzBngNtntgDmTHo/MJSAnwJgbI1H50QrtoMU02YbktmO4r5GY8Nc3DBpojN61dIzBK//elpDh6a5vqLFBdtk+zatsw3nkk5uzjNC3dKZqc0jWBEKEOMEqSZRBhDmsUsDxqcXfS5/vImL7i0zz2PNtg4K2g1Olx/qeZn3r7If/+M5pmTHVYGmpW+YmHZY91Mm9mpJrNT00y1Eta3E3ZcHxP6Kb6XolSGzB0og72okkRxbsEjSRVJqogTRZTk97EkSiRRLBnHkigWNkCNBVEuP6JEE8UZcZxr+sS+XgB7nMAwycGdSAZRihkPuO6iPv/hx/vcdOX9rZm5wUfSc5fofnzNpwenfjtrb/ln3/kA/6X3fZy5TkMdPHLoHQdPLP/xA48vNIzYwGfuiMi04ld/sssV2wZ4UiOkRkqDUjo/fJQ0+MrgewrfM/ixJPCF/RJ8QRQo4sQCPUkMcZpZVyR1jgzSzJBlmkxj9bamBLcQoCR4EnwfQk/QCAWtUNJuKaZbktlpwYa5lB2bhnTaK3z63pg7n5pj5fwU11yg2LHZ55LtYzKxwpcfatH2PdbPKjqtMU8dhGcPeVy93TCMFNdeknDNLsOZ0xkLywGjcYs33tDn7idH7D+paDclYTDF1RdpfvVHFrnjmRGfv2Mdiz3Djg0Zy12PmSnFdNun0/JpNw2NUBMGmtDL8JSVWjJvrTQGm7DSglRL0kyQpoIklcSpIEkkUWKdlzgRxIkhjiFKMuJEEzvEESXuYcE9KsCdSFYSGEUxMhly3YXL/MpPLvLWlyXEcZtoeLDRi6Y/msrj/zASG//yzMEPZZt2/dh3NsCnG5kcDFZ+4OSxk7+3b9/xRmtqhnGWkXkhf3WvRxwp3vGqPu98zYDZqZS+zPBkmOtsq4d9z8NPPEJPMfYt00S+JA4EcSLsl5MokhTiRFoHIa1svzTTZJl1FzKTOyW5W1K4M0pa2RN4gjCQNEJJuymYahlmOpqNcxHrZ/ukZoVP3C35oy/Os6HR4JoLBBds9rlwi2bH5mU+fb9haanB5ZsUs1PQaSWcPSI5txwS7IQoEayflszMwP7DhuWe5sz5Bpdc2ODVL+xz610N5jsQBgFKznD1LsFPvvkcvjzHX90zy7MnG2zsJWyYSZluKzpNRaspaYYeYQChD55nHSYb0zggx17YmYYsE6QZOdAhyQxxCkmSWVJINHFxn+jcdixcmdyCTIXV3Imglwr6sSGOYqbDHu964yLveuWA173Q0Bt0iOKQOAkYRycaxp/5Q/y2hwj/DMsz35kA/8jHPkOW6R+58/5n/8vRw8enNncUg0TTSyUD2SBWHl9+yOf+Z5qcXl7kn37viLmplHHYpDds4KkA3/PxPZ8gzoh9jyC20iRObCrdMo6wTJSzUppCkkGWWSdBaxtwaW2KHs4c3BbgNnAV+J4FSCOEVkPTaabMdFLWz4xYN7vCvXtiPnpbk72HZ7hw2mfXJti2KWDbRrjsgh7DtMeDu6doKp/1s4qZDsx0ImanU4LAQwh7cY2igKVewsrQ0B2knFsOuGBTh5dcfo7bHhqy9+QUrTDBVwFCTLNrq+KHXnueF112jo/e1uHBp2dYHHhsmEqZaaW0GpJmQxH6gtCX+L6NVZQitw8tyg22h1VrSqCnmc5Xt9xaTDVpZsGdJhCnpjoS68qMU0sqwwLYKYzHKToZM9/q8U++b4l/84MDWmFAt98kSmwCKooDxrHPYPHklAobv92auyZ46pG/+qNrXvQ933kAX17pIqX88T/+6Kfee+LEifl2Q6BSyyqehEAK+tJnJCUrkc9/+Quf3QeXecvLB7zyuj4b18X0e01GUUjgp4SBTxR7hIG19wqAJ4kkTu2ym6S5p52RW3/kzC3RhgrcNkmZMzd4yiZMAt/QCDTNRkqnkTI7FbF5XY+z3SHv/5zPlx+eY2m5zcXrBRdsEGzdELBtg2DnljFesMLH7/Q4dLzNpRslsx3JdDtDyoiTC4bQsy6RMYI48dixocdDZPSGiuWe4exSk0u3NfjeV3b5y68HHDkb4nsJQvho0yZJJS/cucyOH+zx5UeHfOzLczxypM3WWcG6dka7kdEIBKEvCHwbq3gKGzhLUdZkGOxFpg3Wacks4AuQp5mVdBbsEGe21iUukkepYJRCP5X0UxjFmmwYsW1dj1dcv8JbXz7kTTdoPNFieaVBnARESUCceESxzzj2GceKYffM/KbGrve94Ia/p8bD3gcbrf89NeX/WwC+tNzF9/x/dNvX7nzv4088u8FTNmFiQ548iSJFDnLL5t3Y4+PfaHDHk32uv7zHD752yJtv7DI/EzIah4yigND3iVOfOPHKQClNFUkmSVNJkgnSVJJlgkyLSmtrQalKjGVuKWyySOXJosDXhEFGM0zpNCPWzQwYJSO+/pThz78xzYNPzzAb+Fy91bB5TrJxPmDLesm2jTEXbV3mySMjPnf3eqaVx/ppwVRbMNVK6A4zvnh/g05gEMICaxR5vOXmiC88YGtiugPNuWWPbRs6vO2lAx7c02f3/oB2mKKksCDXLcax1fo/9Ooul24+x8fv6HHfszMcW26yaUow3TC0Ak3D0wQ+eEqgJHmCjDzHYKGuc6mmdbXCpTnQLUFAkgmSLAd2JhingmEqGGTYmCeOaTeHvO31S/zAa3u88NKMjbM+o3Gb3iDIwe0Tx54FeH5YOSk4cWzPhkb7/vdeftVL9XDQ+3Cr/e0H+bcV4ItLK/T6A4Af/vJX7/rPn//C1+YXl7r4nsQYML5NokhhXQsvdy4aEvrSZ+grTvRCTj3Q4oGnBvzlNX3e8eoRb7h5zNxMQByFRKlPnPgkqUeSAz3NFGmWJ2yyCuDa5Mytq5oyIUweVNo6Ds/TBH5GGCQ0w5hOc0TGiK89KvnT22d4+vA0Igm5cNawecawbkaxfi5g0zrJlvUJF2zqcXyhz+9/vk0aNdm2TTDT8Zhqw1QrQfgxvVGbmY5BCIExkKSSuVCR6pR+EtAfZiz3FCcXmlx5UYef+p4V3vdnIUcX2ngqyS8MjzRtMI4lm+ZDXnhxj2suGvDM0ZP8+Tea3PbIDKe6TdqhohNA2zcEnsFX4EmbzheiXl2nAaPtRZdpQWYgzYT1zzNBnNkk0SgTjDIYpYY0TdFJxHxjxBtfs8K7XtPnlqsTpps+cdJmuRsSJQFJ6hEnfr7aVquuDWwlmZZE/WX2PPWNDZ7iP++85MZ0aenU/2yEbZqtb9/8xG8rwIfDEVOd9lvvufeh3/n8F746tdLt4vuKLDMYD6zXbEppIKXBywy+FARK08wEQxUwTD3ORQ3+6oE2dz495MVfHfDPvq/PFRf02DCjmGp5xElAnPqkaQXyrAC4lmiTX1RGlOl3y9w6T/NrPC8lDFJ8FdMbJSz0Ev7bpxscPjfLo7tnMDpgvinYsM6wblowP6WYn/HZOC/ZNJ+ydf2Q+ZllvvyY5pFnZ7hmm2C2I+m0JFMtTbsZI/yIMPTwlP37xkCWSUaRx2ickGpBf6TpDwxLPZ8zi1PcdNmAl1y5wse/2qC5pPBkYgFpPNIsIE5sj+e6mQYv2jXgRRcPeOgVpzi6IPnobTOcW2lxYjEkUJK2LwgKGSYtuZREXkgVLJOnRpBqSLQgymCcQqwNZCmkCVJFbJkdcc0O+33ccEXGVNMjTdt0+xbYaQ5su8J6FtCJIk5VLiElcWLJyCAYDro89djt8wjvd3buun45jkaf+3Zi8tsG8L1797Ft6yb1wT/604ufeXbf1KDfpRl6aF0tjxbcOciFZZUkE/jKEKSGRiZoKcFICYZeyCjzWYyb3PbINPc+O6IdRvzDN3XZNp9y4ZYRN13VxxO2RUwIK1dsVtLWShvjMDcGIQ1KWM/ckIJMeeaw5OE9Hrc+2OGZYx3itEXHU6xvGubahtmWsT74lMfctMf8jGDTXMqW9SM2r1/mzqcjPnDrBjbPeKyfgqm2Yqot6LRSmmHEvfsU49jDb1tQGSOIU0nDU1x36YgHnpqxhU+jjJWez/mVkLPnZ/mpN5/lxPlFHnh8Pb4ERIKGEkBRLBmMPGY7DWam2rzk0iGvuGbID75qgT3HNV94sMGDe5rsO9QmFR5RpBgmCiVkWf4AReCZ5wSMJtUGozW+yJgOYhokvOT6ATs3j9m2LuHdb4hoBpJ20yeOW3T7Qb6SejnhqNJrTxxQ1w+RrxQCrT2i5R5PPX731PmFMxff8up3qmNHD2YX7Nj1twfgu/c8y8aN88FDDz30o57M/suwv0Sn5WOwkbrS5OWtwrK2FKgUKxEyg5eCLwW+NoSpoaEErUwQaRhnPqPMZ5g16Pcz/vPHZzFpwsb1Y668YMz8dMo7Xj3igg0xSSJyvS3BYW6KC0xqhBR88o4mTx5sIzyPo6danDzbotFUTIeCmbZhqqGZakCnKZhuKaY6itmOx/wMrJtJ2Tg/ZuuGHplZ4ZN3TzEatLlkm2Gqpei0JJ2mptNI8f2YLz/QIBpK/A22dKyQKO2m4o0vHnHXY5pBJBmMMnpDj5W+x5nFFlfs7PCOW3o8+kyLo0sdlNRAkutlnyRTRIlNzAzGHt1BQKfZot2MuGLbmBsvG3P8XJcjp1fw/IwnDnn85TdaCGUL15icP2g0oMEYkjhjx8aUd716xLqpjMt2GDbOQ5b6RHGHNPVZ7vmkiSLJvDwOUiSJXUmTVOUxkcxdLZE/tomuNKUEuAW5z6nTy7Sms//y5BOPDjdv3vFH+/buiS+97PK/HQA/ffIEy0vnLz1+/MT7H3vsEdkIlf0iMkOmDZkWeXmrwZOQShtoJlrgpVYnJpnBzyBVgjAzNLQhzQSxNsSZINKSKJPE2ifRsDCY4htPagwZn33QjmzA6Pwosni5RSaKikSJVIo08ZDaw/cknRB2rje0fU0r1LRCaIWCdlPSaVo5NN2RzE7B/HTK+tmILev7ZCzz3z7V4J6nNrBrHmZbOXu3JJ1mSqsZ026NaDZbhEqiZK7BsXIgSXzGI8EoyuhHisFY0x9p2zLXDjhxdpqXXRnxM+88y2/+pcexlRAhNMYk6MyQpD5xIhlHtoy1M/JoNwJazQatsEUjTOg0Y154SUzgJ9xwScq7XzPEU2meBNK23t4V5bmk01oihCT0FRAwjjwWlz1bt5MVMU9+pLKKgdL8yCy4C2erSCylmXvkXnwO8jQ1PPTQwzKK5fu7veHdcTR++tuBzf/HAP/6Vz/LVNtrHj164O0H9x0QnaZPqkWeXNEVyKUtnMqkQSqDykBlkCkbsXuZ7X1Mi4g+y6P6IrLXonquBbGWpEaSaY9Eh2S57eXeyiylAE8Im6lU0GgaGp6hoTJCH0IPGoGhGQqagaTVlLQangV4WzDT0cxNpczPRGyYG7BlwyIfuFXzsds2sn1Gsa6jmWorOi1FuwWtZkanmXB6UXPwdEgjsBc0FJV+gnHssXOTZtO6Mb1xwGhschaXrPQ9Os0GndYM737NOQ6dPsMffm4rnvQwaDKdkWpDknpEsWIU26KoYUPSGns0Q59mmNHt2xgj8DObMPMzPGkbJaTMysI2IfK6FXvGcpALujqvstQ2rskyidaSVFfxjgVrEeAXj537VOSvW0cmyyx7p7p4bK3cJBNEMTz0yOPiol39t1+448KDn/jLT43e+Y7vfX4Bvn5WBv3+2V/od8/+gmAsmw1JnIIqP3DO5NI2KWQKVCbIcnmSavDyD5kVyQdt8uemfK16XFXKWS9XlIGSq7mBsjrReu8aT5LXtICvBL5nrG/sCRqhpBFImqGi2VB0mpJOyzDdzpjppMxNRaybHXLBxkUe3Bfx8Tu2MNsI2djRTLWEBXdT0m5o2o2UTiviwb3wxJ4WF683ue6t0uajSHHDZYZLLhjx0NMzDCPDaJwxGHk5yH1ajSbNxgzf//Ilnth3jgd2bwKj0Dqz5bCpIU1MWU8yijxaY0OzoWgEmjDwCYOM0NN4Xobv2eywUva7kNLGQgiDoNJzVXBuS4h14UjpQlY4VmzxPetcV5fPKYFdHJbA7H0B7lSTZ51tV1AUDeXR46f/TyObQbPZ+jUgft4APh4PZRKPfvne2//0Xw26p4LQ953aDkEqrObOpCGTFtSZNqgC9MrglVLGNtDqjPJxVmTcTJF5M+g8E1ckK4wxOJn32opbpKoL10bJPGOpcIq2bPYvDBSNUNEMBa2moNM0TLUyptspM52I+ekRW9Yv88DeEb/8xxs5dmKGi9ZpZlow1VS0m4p2A9qNjGYjIfDHdMe2WMxXNv4obpm2DJekAVPNhGGqGeZ11sNxRn8o6TYVrX5II+xw4aaEX/3RLv/hI5L7d2/EoNDGrpBplhKnmjhRjGPFKJQ0I0UjkISBIQwUoafxfev3e6qo9bEAV7lMEcLUG3Tz1L7JScTktSxZDvhMV/eWjGR+LyqA549L1s5ytyYrsqj5qp1nU5NUk2Zw6PCJQKrmz/3MP/4Rfzgc/rtWq/U3Tuf/jQEeR12MiX/twO67/8XC2eONwFc2S4ZFuMwTDCoTZFKQqkqTa2lKsGeZQatKq2ttyjSyLj1aMNrYLvK8BNQ9mAB41SyRv4f8glPK2mVe3orme5IwsAOAGqEdydAMDe2GptPKmGolTHdi5qZGbFm/wgN7hvyHP1rH3mNz7JizDkunKWm3pGXvpqHVyGg1EpIs5k++2kEqhS8NSlQ2oTbFEu7zQ69f5iuPxPTjkGEO8MFI0R8ouqFHIwgJ/Sku257yH39skX//R4L7nt6INpJM27R6ktpCsyjWRA1b7hqGgoYvCAOb2Qw8U2ZsPaWtTJSUtm0J8CrlCeQkgs0lWLclD+QLAOdTB3QZNJKzO+WKm5WApsqaaltKkeW1QmlmV6Qk1SAUBw8dbdz65Tv+5fd812vF0nLvF+dm/2ZJoL8xwM+cPIwx+iXHDz/azLIYIW1Ja54FR0qbRUslZBKUtkDPyvRwAe5CftjXdFkrUbVfWaALW0dRgLo48RPvqwB4UYNRZPIK9va8ou5E4vvS1m8EgkZoZ560wox204J7qh0zMzVi/UyXB/cM+eUPz/HM0XVsmxXMtx1p0vBoN2z9SrOR0gxjfD/i5OIsvhIoqXNbrgoys0ySporNs4Y0TegljbxTRjMaZ/THkuZQ0Qh8Ar+B701z+baU//iPFvi3H4IHnt1ApqUFeGZI0ixnck0UahqxZByoUoL5Pvhe7lwpaXMBeS5CChD5/RoYt3KFPCmEKJNDOk8OFdniLHNe15XkLOVnZsqVuCC3osIzzWxjRprXC0VRzB13P9y87NKdL5H/D3ac+BsB/MlHvwLErXvv/lqQjPsWzOQNh7nmlRlkOXNmyvmgOaNrbcg8SrDXgV3IEFMC3RRypHj8HO9NiqqISsriQhN52lrmjRKFPIGGD2GgaTYMzdDq51YzYaoVM9MesW62yyP7x/z7D87y1NH1bJlRrG9rppuCTkPSaihaTUGzYS8Om+qPeWC3YDAOaKgiqWU1eNGEkGlBknq0G4qbrurz4DNTDBPyURkZw5GiHyrCQBH4Qa6fZ7hiu+bXf+IcP/8HcN/uDSRakmidN0tXPZhRIAkDbdnbr+roPVUc5DKlknEyz/KuBfIiKWQKgOeAz0rnhTVXXp3HUroAtXYIrmDx/OcFs2sNQgpGgx6f+eytwZve8PrWJz71heE7v/e7/vcD/OyZY8zOb515/MHP/r4So5cnJkNIkdtgIHSVrUylQJUfRJBJcsaurnKtxNqs7QBal8CumoLJtXf5ZQhbUCRkDu68yEiVAAeVVwz6HgQ+thMoyAuswoxmLi86zYjpzojZTo/HD0T8+w/O8sSRDWya8Vjf0kw3od0QtJuKVlPRKtk7oxGmdFpj7nwiYKXbYHa2SpMXgNG5Nk0yxYZ5xWteMODOh7Xtoom1A3JJw5c0fA/fC/C8JlJqrthueO9PnOPn/8Bw394NJNojySsAbdmrZfIwkWV1YeBJPC8vwpIC5RXnhvL9FRdhIVVEuR5XCaHJQzv3Wjv35cpbgVtrB9i6KvTSWldgz/97ECRpytLy4OWHDh/50D/6kXf+9MFDR1d2XbTjfy/Au8unGfTO//zCmSM/EI3OE/ge5NrbZi2NZW1tT1zpfCgnaNTVFV/Ij6yUIZTsXQskJ5k7R3qRkSu1tywq6CrdXVQMegpbn+EZfN82FjcCTSPIaDZSWo2EdiOi0xozN93l0X0Rv/AH63j80EY2zPhsaGVMt0wO7py9G5JmaNm/Eaa0wphUR/TjEKEkfsHgpQYXObvlBWKJTzsY23KBuMFsAfJxxjCwDB4G0tbEe8UGtIarLzS876fP8rO/p7lvz0YS7RFlgjjTOYsLGokm9A2Bb3tXvTzu8JQtEVZS5ucn78ov7p3CrPLCdGOdCXCXJOQQkwvuMq4y1WO3hDlz4y7nuwbBqTOL7Dtw5Afue+Cxg3Gc/Nv/rQzeWz5OZ2brjvtu/9A10fAkzVAgpC49VFtvnYNb585JGTiKEtyZU5NcjEYzRTBpqkCsYooqK2ncNbNgbTeoLJbbvENH5cGU5+WdQXkRUlE92PCzXDcnNBsRs1NDptt9Htid8osfWMdjhzayftpjfTNjumHo5OBuNqydWIC7GWY0gpSpdszuI4Y7Hm0TSImvdB7EVR5FsXwnmSLVHq98YcLFFw04eKzJ+ha2zzG2nevDcc7CnsLz/DJhJoThqh3w6z95nn/7B5q7n1nPOGnaZFhqaOU13KGPBblXrF667G2VKitXOCWFA3DhgJxVeqUCuakDvKxQrFbetVbmit1xwJ1fHLoKbO2fURw4fIqvfeOha37uX//kjv0HTxy9ZNe2bz/AV5ZP44UzF548cv9vSX3+raHXA9+vf8h89IIyVZlqaScZg84KOSJWLWnFf29KT3vCJVnlluTMPQluYZCqsAXz7KnKWdszBJ7G9zWhrwmDlEaQ0ghjWo2Iuekhy/0hdz0Nv/6nm3jywDrW5eCeaRo6TUG7IUqv3Dov2rJ3YAHeDCPiLGM8atBQ9iKTQtQq+YpEig00Pavlvch2pifCAbgmCDIC38P3pZ0qIP0S4Ai4dqfg1396mf/8Zyn37ZnnVHeKcVsykxk6qaGRTxwIfZN7/4WTYkr2LqRKAfDy/eZv2sV5BTz7pRSragXuuqSsQGuc79uU33vmPNbFqlCs4Pn3PhgOOXZq6a23ff2+7FUve8G/PHbs1JELLtjy7QX4qHeYZNy8sXv+mbcPu3toNUO0TnP2FWXPnynlhiyZu7SSlCgliQW1yJe2ImFTlyIuwItT7KrCcm4KbrBUVCsaZziQLYv1PZ2PmchKcIdBDu65AQvLI977Jy0+d/96zg9mWT8tWd/Iwd2wuruVB5bNUNIKTc7gVns3whiIuf3xgOUkYD6kVo+NqK9QWWabH6ZCj1dfP+SBvTH9JGS67FjXBJGtVQ88C3Avb8gW0iZoMHD5dslv/rMeX3hgxK99eCMnzs8ymvGYCQSdVNNKIUzs6OVA2YFGfhFoSlEGwcW9G6i7F6YQZa9I+f3AhIR0ge3ET9oBv5vHcBk+03Xpo8vfUTz4+AE2b9749k6n/Sf9wejIt5XBs7SPVO1Llk/f/s+zwcN0WgZtUge8VSLAetUCnZkSyBbsOOAXDqgLCWIqG2qStV1Zkp/oglnKOSqy0P85wJXBkxbYtrfT9ncGfkbgpzSChDBI6DRHeN6QO5/I+NAXp7j1ng3EeooNU4J1DStLrAVY+OQqP0TO3C57J3hexL3PzjCMPTa3ivczyeDF6iZJUkXDV7zkihGptgAfJcJ2rRed65G2waGXz4bJ7T2RJ9cNgnUzgh941YBOeIoPf3HEXc/OcyZpMmxIplJD2zMW5F4ehyiTxyUmB3lxDkVVOy5BUrH45I6CpVQpRlRQB6gbR9XkRw70IqdRc13K381jlfznifb4wh3PcsWVl/3zH3jryx5b7g33z05965Fw3xLgOjrA4OynUMHsFj3a/YrQO41otvMslCy/KO2wuDYiZ+si1euCXdTlSKG1yZMJNWA71oNrXwkzIU2KrJytGLSj3XRe852DW9lajNBPCIKEhh/Tao0JgiF/epvHb/zPDRxcmMMPG2zqCObCjKnQ0A6hnXfYN0Ob7WzkCSFbv5LlK4GVJ+d7GYM4IFCKQJoywMT5KMWFXdRuxKlP0x+zaWbEyrDDKBH5uDUbK/h+ltt8Krc7lQV4LXC1lY9vvWXADVcu8OsfHfOxL69nKW0zDH3avmTKszU4oQeBomyG8IqkT77yyVKqVAkgl1TqYsUFOrUVWNdY3dXm9aOwG7VDekUG22Z9IdGK4yd7fP7uva84N8y2nDvf3f/g0ye48epvrse/NcB1RmfjGy8cdx//QDx4jDDQSJmQZLpsLsiyAuDSAbWoPzZFNkw4AWQVYBqEI0nEhDQpwG0qNpHFIE4H4NKg8tETFXNnOchTAs9KkjCICP0RR86m/OEX2nzm7nkOnZ1lquUz14DZMKMTmjz1XoBb5uCWZVKokWvvMLAXzlQ74tP3euw/2qSRT+Aq28WoUO7GK1kmSVKPy3fAd9/Q50NfmmfQ8pjKZ4+EcR43KI3nyXxsHQ7IfYdSLdlcsE7yi/9gyDU7T/AHt85x6Mw0S2mToe/RVoJWDvRAGnvh5C5TufoV57WwD7H6vMp0mtU+eUFMjnbWE6Avv2vtArzKTrsMnuki3V81YIzw+dJ9e3nlS674wI++7ZY3nV3sfUup8k0BvvuIQTXg8Sfv3NbQD+za0jjB2EwhZYTKvLyLRpGpqhCnKLcsxqFVLokoAV1odeOytxElC1SsUNC2qenAAtgib5yQsgC4zl2Tgr0zfC+1nTteShhGBF5EP4t5/ycCPvyFTZxcnEGrJnPTirnAMB1oWjlzt8r0vczrVHJpknvnJbgDm72Mkpj9J0IGcchsmLs4RdKpcCWKLKxxalISj6m2x85tMSoc0487jAJBMx+JFnjF+AwrUbzC9RDqOYJXxfrpIT/11iFvf+UZPvyFHn/4yXnOj9qMvAYNT9HyBE1l6++DvNtHSZFnN8lXQ7M2k7OGXJl0WIBaLFWA1yGyQoIU56J4XshY210E40ww1IKxMYxOnuXQ/gd2LVycbLvpulccMWaIEM8tVb4pwENxlIXF6fXjNPzEbXfd6//LdyTobuTM59ZkUluJUrC3lmijS+YuGbvQ6i6wc8BXjC0wa74T49iBpgR2TZ7IYlhQZgHuZXgqI/ATGkFM4Md0xzH3Pin509um+OTd84yzDkEQMB8IZgJNOzC0QkMrqMDdCCVhKAlzaWITQ7kzkQM88G3m8/Bpw12PtIgTn7BtVgWY5apYanB7vuJE4fser7mhz8e/NmDviTajhh3NEPmGIAU/0fixRilpfWspkEJWw32ozmemJamWtEKPjTMjfvb7h1xxQcTHbuvw8O5pFkZtxirA9z0anqApISwGLBX2qjQ2nyBwQF6vWZksznIZvSCoSUeseF4FnY7WNrbWJc3lSaJt08tICxKtIYshjYhWvuLPdG78xMLK8gui8crC35jBF0cb5PLKozemy5+cvnjzMkLYLpWit1EKbwLgdalSyZG6LCmPAti5RHEZvFb4Y3t0LJOXKWVdlnvKvBTXU5kFuMpKOeJ5Cd1Bwj1PC/74S1Pc9ug0S90Ostmg01TM+IapQNPyDa3A0AzIWdsydzOUNAJFIxA0AvIKPZ2DWxP6Vn8rL2LfCTjZbdjESq5v64mTqn7G9kHmxf5aEsceG6cEl2wf8dSxlGHiE+UzvoMYCz5VTNYtEjUwWadRXDyFDZlktj78Xa8Z8YYXL/P1x/p85MtTPLx7isV+i64MGAQegbJTDkKJ7eGUdpc6JaqLVIm87HcNBl9VvzLJ5A6haeoSRZMnBI3TF2og0oLEGIzOQCeQjYGE3UcSPvgXX5z+R+80N15xyeVf4psMD/qmAD93/kS4suL/3qc/car9fa+3oPZkAqrocdQorXJJosq6YaPlBLAd9taFDnUA7pyQGi/UpInBLdAvVhCVd6comdmB+IWbIRMW+il3PuLxxXs6fO6uac712ohGA7/jM+XBtG87eZo+ueyAZiDyQ+Ylp7nuDgRhwd4FwL2UIEhpBDHGJNz+aMjR003WzQl8qavpuGuwXVl+mkuKUeSzY6PgNdcP+cz9MYPEZ5QIGr7tVw3yyVLVKqVKvxohazLFHrJqVNDWb2+GEe961YjX3bDIZ+/u84V7Wtz5ZIdz3RYjETAKPDxf4QlhWwilxBcml1oGhXCkYd0+XIPMay5YxdyiDECznLEtsB2AG/KiKw0mB7eOLYObjMA3vO7ax9oXb37N75GduAIY/Y0A/vDTu1lc6PGZz8FKd5pXXLfIhpkEohxoWqG1QhuJyhncNvxKB9CylCTayPqXALZ3co2awFpA6QBbCJ3bgXaWYSFHAi+h0UgYRxl7T8KRU4o//+o0X3p4inPLbfAbeFM+LSXp+IaOp2n6hqYPDd+Cu+HbmYS2zFQ6h8h/bnKQ6xLkgW/b0w6e0jx1OATfz5d546ToRQ0FbhBm66UFaWbHOV+9M+LKbQP2nGwxaghaqSBMDJEit/Z0zt6Fm1JYkJVWKX32wuHSKp8+YAfvNJsRP/LGiLfctMJXHhnwF19rceRUgz0nW8QrIWnoMfY8pJI2nQ94+X3B5KV0oQr+V91KN6UCtSYvuS0fV4f1zHXVH6ozMCnoFIwdq7VxXcJPvHPI6166wsry/pmGePffH47Mh1rNtd7ANwG40UdEFI3++ac+9f51P/YPFpmfTlkZSDZtSAj9GJ1oklihM4U2Kpcnbke7dAJLZ4QDIgc1zv0EvItIvdR8NqlhJYnOd3nICEM7STXNMs4swle/4XHwRJM7HmxycrnJwVNtCENUy6PhKdqeoe1p6yL4dnB+w7fj2iyIi0Pmh8oBTq65c3D7GaFv2dteWDGHF2D3kRa+rNuDpUShqgcvHYXCSdF5X2Pqc+WOEZdsGPL0oZRh6tNJBJEHQWpnAioH4FIKhJQ1Jgdn+Xeyybb+PG8KznwiP2CqGfNDr4+45ZoeJ5d73P5QwKHjIV95tMWpxQbZyEdLjyRQCCntSpF35UvyjCeUsmUtkNcCTdwsdeG25K8WvbRGA1kO7vyIMzuLj4zpdsaDz/ocOBpwpndk5ofeOfoZ388+vBpF3wLgTzz6WQTpD7z5JU+1X/GiAb/3523+7W9P8/pbxly+M2XrbMbFO2ICBDqWOcgFmVarQU61507hbVftZZOBpXEi9oq1SymiMvwwI8kMh44Lnjqk+OqDLZ4+HPDs4Sa9KCSKQ/AD1JRPqAQtBS1P03R84NAr6jSKsllbFx7msiQIFEEg8wvAVNrbz2xm0bc6vxEkGB1zdkkSmRDPkwTS4Dk22wSBlyDPHMcpy/1wgcf6uRipxgwSn6EnrNORVAVjntK1DKQUThRbDDtClFKxaC0rBiP5mSrHTwyjgE2zMRdsTHjhRRGjeMQ/PNzl6SMBX32gwVOHGxw61iBJFYQKIxUISSadbFCZpFhDq9TEeeEDF/fauc8PneUnKINE46HZdWHMlrmEyy9KecPLIp7e7/HeP5giyY4xNf0XBMFzb9i9JsBN/0945mBP/eJ/f1bsWCcZRlN85mttFlck33i8wXRguGBbwtWXJbz+xRGvvi4Gk+L7hmabXGdL0II0saxeBJI1BncveUO+q5qdX+J7BoRGSEMSG4Zjy+hHTkj+7LaQYaJ4/NkGB46HnB8ERFkAXgDKR00pAiloKmgpQ0Nhx5mpvPBIWdYOfGGTHi64fUmQy5IwgDAgd01sytz3NIGf5hnRhGYj5txyxlfv69Dth8xOC7zciy+KvsRzMZt2AkItiSLFunnFG24a85WHRxzrthn50soUD/zU4CeFZ5177DKzdiHurBNZ/g1tPOdvWKAHmSLzFKlvxz4kiW+tVD+hHSTccnXKS66IeNsrxuw7Lnlit88oVnzsqy0On/FBSIYjjyxWRfmmHexUXmhuHOV84BrAAaMRmUHoSpo02xm+rxFG8+rrI15/w5irLk/YsS1l2jesm9W8+nrJtjnNOO7zuhffLb727BvUf/idL6S/8k9X14s/J4NfeVHn/dftPH/t//hok34akCAhFCz0BQvGcHgx5L6nDJ/4Wsb6uRSjNddfmvCu147zTg1YP6257uqYdiNfeYwoc2Crv3NRDufpDgVPPOmx2JM0G5IHd/t8/u4G40QxThSnzwRo4ZEYHy188DxE6OFJSaAEDWlo5MAOlSFUxtaAe7nn61XMHRR9mSW4Vd6jKUr2DnxNEBQFWlnJ3kGQoFTMNx5TfOb+DirwrN1W09/PzeCF/5tlheOhGI993nLziM/d2+Njt08zSBu0cx3uFzo8KZIypuwWEkKWALN/Sjpa3wG4tkyeepbJfU+Reh5emlmgqwyl7CD92UbKzZel3HRZghER73jVkHFix7n91d0hD+0OaIaC8z3FE08H9IYyV0mC5xTl5c4TtjXwuusS1s1ktjY8M7zrtSOuuyTBaFg/p5mb0XhFw7YW6LFivmH4ke/p043hz7684dqFbP37gZ/6azH4qXNLLOjZqe6JD1z2quv76vc/5ZP0wtzMlZCvBtpAZAxnu5qzK/aN7zum+fw37JVoMsP0rObGa2M6TVsHvGZ60r3Uc9dhZaB4+KmAXlchPWlnohjPMpPwsHOBPZAeUkp8KSyYpSGUmkBaIAQKAlXN6LMgF1XDg2cbAYrGYxfcluHzslq/YPDMOVJCL8GYmJPnA+KoQTgtCfK0t8qr8mpZzKKjB3Ct07I7XSvixGe2o9i+LiYQY0ZpyCgVND07BLOoISkSWkq65a2y/Fv2bxTJNl1lT7XOeyYraZSmWZ43UPlc9pQkzVCJzSV4KkPKlG3rdL5iaK64YExsRkhP0+0KHn7KY2UoUaViqQfVtW86L8ZqNzQvuTZhelZjUruyN5U9d/a9K3Tqk9SmlFnZqlRG3M/48v1Gvek1S5f90x/+B1O//J6FnhDrvznAj51aIvC77/u5/3TmVfc+NsUgCi0yivFQ5bdUvG1d6qvUaLqFplKG3orh9DfazkdcC+Cufsu/HCHQxZYL5DWnQlVBjpS5lVWAOk87S/KNWwvf2Ln38k56Rb71HiW4bVuXIsjBHXiUJaaWwXMW9zRBnh31/YQwTDh+XvPRr7TBC+yMRekkeGrgqxNZwa7FkFALNpsZjhOfd79hxGfvHPHs2Q6DzKeV2k1pbRWgqTpxVJETcIO9onSxkELSKfAqDl3Wwniews/svBQ/B7qSVdLM1o3nj4XOBwdleMIgTMa6lua7XqZBZNXmvUJXWFlF5KK61wqdeGWcliaShCpXUsxpgSpuE8IgU810I+P3/8Vx2rP3vSqLbn6fMcmq3a1WAfz3//R2lJTB7sMjetE8ZTt4CUY331x8W8Z5zblXhsx3wL0mvgt2K/7tevAipCxb0JQAX9i0cihstaAv7XNPktdU5N3jRSGRhzMHhXxntqqrvgK4LGVLGJiypS0ItDM4J8XP2TvwEqSMOXpGsNBrIDyPUFKTJ9L9WPUzVys0c/Vxmini1Gd+KmLHphF7zkSMMo9xBmEm8DODn+Y6PKV0lqoUuqp9X8VXZK3bootGONJI42WaTEmUV2xfrvJitQypdL5S6MqazUEuir+NnZIlpCldrwLohQPmfv4C4FVyr7ovnbZ8Bapg47B4+Tcg9DXj/jLjY38VrJXvWQXw+585jhCClWGEF/hIsTp9rifwavKzaKonDqi/mSwh78pxCuuFQFKliMsxy8Lgixy0uQQoHpev5WRflYJSNtgGSliw18At7X1QAL0IPnNwF90/ni4liu9ZfRoECSkJX7i3ydmFJv60InBrOFwHhQlF6qauncK0IukzjuwE2ze/dMC9T47ppQ2Gnkcz1cR5Ol3JqiCq2n5RU3UOuTmHem21Ntp6z8r+TU8LUiXwMpnvYmdredIc6FUyTZcJNim1k3jLH0sX3LnNW+4VYxw+r5sLNaAX77lkbNdKdsYTGQeLRCixZ00CrQH8t/74q8xMNV72+39x9w1KZ8z6Vb2xm3otvUzc56K0p6o//E1wXRxFskBYeS/yRIIHpdWm8pSxnW9Sadxi1mExUL8YheACu5yDorD9iGsBvAg4C93tFbLE5Hq7Xkse+AmBH3Omq3n0QBO8IB/ob8r0fMng1Fm8YC63Y6XqS5WlJ54kPtdfHDE/M6K73GKYKloK/NR+FpXZAUoqcQGOBXn5h+REpabI+ybzuiGlybTA14JMSTKlyZQgzUHuFq8V5RCyALkD6qJkQqBzkOeALjPRVdKuVoxRq19xnhcAXwP45e+XssXGI75s3NBa/10v655+4z3Tm9++NsCFjolG5rtm/ey6FhFB4GO0LgFeplwdojbOG9Lua6y+oERun7hmUnGVF1mxChzVoPzJEk6vqI3Ia8CLUk/bXFx0qlhZosrulQrYRfOtZe9cc3uUeruwBC1jV+D2y+rEBEHCrXeH3Pt0Bxl6BFLY+duyUnXVfBa3jrp+3rQ7Hi0veci0YjT2uemqEd99S58/vLVDnIUMMkkjM0Qp+crlVv3pXM7piQvquZgctCfznkhRgjtTEqW0ZXQp89ES2ilFdmuATAXyWra5khBApctrQHcu+ImRe8YBbxUwuyRbFeyBQEcJqQiuU1H0XUbre9Zk8ENHTjAz3XnDn33yq/9gtHyOuZbAoOsDd1yQ1/64ca4sl6kmiqeo5KEL7gIA0gGFpKp5cEcbFMxttyApnpMzOGUbVo3F824YX9XBbccpTDB33rMZ5O1tvlc0HKTOkRCT8Be3T5GZEFVmL90As+prLJyNmgZnol1PSzsdKiuCTQ+Bz7tePeRPvhCxohNGWYNRJvBTShaX0iDTYlSHzu3CyfVTUlmTwgG5IPPyUQ4qB7lnUNrKlUwZVKbzXag1SsqyNLmyKN3qzqqMuWxKKYFuyi9+NcAnXxCWoJ3VpwS+I1+KcpA09emNBugg/gfbL379Hd3lk1+Znt1aB3gcJ4xG0cX9/mDXaNCnHQZ5wbk7viH/h0swmxqo12LtyZsQDpM78qQE+kR5ZqnFJzRnAXp3todSotLiecVdbdhNDmxPicpJKe1A23FvG5NNztxVgOk57B36MY8ekOw/1cAoHyUlgdR4k3UajgCfdFGKo+x0cppDCkclSX12bUm48qIB9+9rkqiAUSpoSPAzg5eKXL7lXThprsORVi7U/qRwWFw40qga5VHMhPSUzsGdt7Mp44C7qAUyeZlAweSUq4dwwF0Mgnou9l7rVmKopsUr/E0OBk0zyXg8ohMNd2VZdLHWyVdWMfjJM8u0W2NWemOEsIGaFAItq6J02zNpJuRJ/SR+q7ftSpMS8C7QHXCrsua7st0qySJs97yowG2DTFF2i3sluGUN4O7wH9ttTwnsMltZMndG4NnEju0KSjAk/OXtLRYXm4jQs767exFO1qCUV3fBSpX2dlm15k1rRZJ4rJuTvPM1fR49MEWUNRiqgGZmtXhRzqokObiLtULnnngRIVkWdxnRTLYSuqPWtETpYkUy5WMLcJl/Tl22zRVd/kLIqjliksEnmlaqdN/qQrsaplxwu+/d7RrTAsgQekgyXiBLxuV/XwL8wx/9LFJKlpZWaDaUBVRmpYkqrnq5unim7v59c/4u/P9Knkzcu4B2Wbw2XqxibOkyuBIOixdyRaK8OsADLx8A5BdbB+YZTs/gl6l4nT/OaoenbOfOs0fhE7d1iGSAkirPXtYvxMkM5qplufwCmdDhuRbPFGnmEWYe73z9mD/+0pAnDzVJlM9QSoJM5+6RQGbGOU/GtpcJdz3V+d+q71vkMnmmwSstRDvaWuUlASoz1bDOci6LKC/odEKP2+/TLZbDYfIC5N8cK64uLxtjyg6wqjOsahwJOHd6H73uWYyuJJoHcOrUKTZv3tz6tff97s4n+os0A/sPSOHOq5gc6eAGAt/6JsTk49Xa+7klSjWtdnIcsnQYuwgyi6lNnlds8pprbzUB7iJ97xeNydrODClbxIqezjQ/EpQfs/+kRz8OQHm5PDET5bGTF24d4fWBRhNeeN6NUyV+PNq+4LKtY57cH5PpkJEOaGS2ZtvLNbgSdiNXm1hyvayiIaL40qsiuKLh1yvjLPua0nZgqqfJO4gMUlcTAorpWlnR3V8aAFVwWQaeE993cXmvqs+ZlHDVb1a2ao3B63U8SWIYxZLZcNPOV73xJ1rnzv70cMPGTRbg586eZTDovX7XhRt+/qmnniH0JWlG+SHcJtFqfFo19GXNfJWZALXD3gXIBTaf4wKhAnbVx6gcVlS1oZoFyKlqpJUD6vJxnuRR5F64BbcFcDUUyHflicveKu/rDGKW+pr/8akOi6MGIvStPJGmtqpUg3O+ueasTRMo5sSUDG4dlTT1mGp5vOd7+3z90SkWo4BYeoykJMh7KKuRDzmDu/X0QpdltAadg1tjcOv0LZt7+YySIkgvwK6kyBncSqKsdFEoZUqlw6t2wkqmFIFnZRXWzs0ay5uLq7pMqeIVk8+3TPP9f/qjlOmN639+//799yTx+LMlgz/6xG7CMOTAweMkaYqn7MQqhEBogxYgHYBPJiWfk8UnAD0J9BprU6W17Zy8SYlSH0xTAlsKpKrGjykH1J6UeLkk8UqAF5pbl0Gl7+kS3L5X1F/U2dtXCUEQ8+e3+zxzsAnSR0pJWJTGOtZmuUd8/iGfs5rQYXM9wUo6Z3K7yZPP1buGvPWWHn/8pQbaCxnJgFCKMumjpCBxArpJJhcukzvBm1sToxUoY1cFbYQFdzElTENWzk+pBqy69xbcIs9oVvKkdFZcHEw8X5MAXMA7IF+VAS52oMhSls8fw/MEaWI3hvAABmPbJjQY22UuDOyHsiQg7AAlY0Fec0/cN1K4QJNLTU2HFoX5ZtVAmZpnXAaWomLzkiG/FcBlBXDl1FB7eV2KTylFfFW5Jb4zHKjS3Ja9fc9OrVruav7qGx3Od0No5O6JcIKx55AoFDUiE9/cmrZd2dMq0VnhpnjMTim+51VDPnfvmMVBSKw8RpnM7UmRuzeiasaWk4kVy97FS7pk84K4BF7hrKj8scyfS7uXUnHeXZCLfOe8Ukrm8sSuzq4eFxNyRawBcIN7powwtYRO0f1VBZlV55IxNm2/blawad7u+Abg7dm7n3Xzsxfeec9DP3N+4aydFpufIPLVrWDvCsxiVYDpyhSXrQ0TX7YD9Poh1pYoReKkBuz67G+3w8UOd6cO7mJng4K5lcPcqxi8GDdRjZzwlM1cHj4i2He0gSZESK9szq2qB934QTiuRvXh3VqUismFI09E6WSU7WaZB8bj8h0xuzaPWdzTxGSBZfHMyhTPcXEq9nQLvXLBXZTRgn1eNqbk7CirwTtubGO3gszB7jhaQlZkVIJbi3yWSqHJxYRUERN4yN/fJBGUGfTVSZ4i6MzKVQ+M8Dhz9hwz66/8mZ0X3/L4yeMHj3jGGKI43uQr3jAedmmEHklq0MJemSIHd+Fdl3VV4rmlyaRzMDlLowC0m8quveb0MlbOhHCCzQrQlsHJRwG7Prh75FtaKxfcDsjz/er9vDS0YG+VP/e8BKUSvnB/h/3nmxBU8sR3rMvaBcvqcRGrluCJ/EIpGdzdzYoy2tjjonUxb75pyEPPtkD7pJnV4n6WZ3ezulSqmNNVtDnIjXEkiiNXZP5Y5quKLA577rN8xZAiZ3VdrLCmJKYq4eM+Jk/+CEemujLludve6in9ygWqyRUDWeZx6nSXC3aZN8RxtClJ9RFvqqXpNA1zU4apNqwMXHsrv/IcSfItXRNXd+fv/jntweIkUNfalUwRZRnoJLBLNlfCacJ1wJ3PJ6y27WA1sL1qQFA54s3TOchTK09UQrMVc/9exWe/0WY0DqDl4UmBL+rSZPL9u595TYBDXX9PWIauL56kHtMdj7e9csyX7h3y4N4A0/YZZSGBoLzQVPn3Kx3srKUlyN2chQ0+8wtMWTbPpNXj2mHtIqjXeXAptXD0t3AC3XoMVQaUTlxgXxNrAP2b36oczMQMy9zU6I1gsWfYMNQMhxqvOxhjhOJ8d8zCSoLRCqmoXU1i4i+vtuYnnq8RUNYBPilR6hNNq+BSlKAp5+UpZ/cGJfLalArcFciLslmD51UjlL18EyZP1YHul2xtD6VsgBkEMUmc8aX7Wjx7rAW+j5AqB1U+N8QJLoWsf6mTrlFxAqsm7NyNqo25K7btk6UnnmUecexxxQUpb3zpgCeONInSgEz6jLQiyJh4L4UXzgSD23sz8V5QxcWm0cqOwDYGjBQYlcvUXI+XK6oEqZ1ZhrpaNeQkwCfjEiaA/7+Q6VyFwxzcgW/YNB8x3R7iqRGhP8L79d/+Ap7yWOn2WO76zHQMwojS2Xgudl7rttrrXj1+dy3mroO6YGw3wKx2IKikiWMVloxdALyanFpKlJy5LWObkqm98r567OfBpacSwiDm6aOCr9zbYjgKoG1LiIOykrEIftfIYjqf06WCohbFoiuvLHTdFDfh4xRgxYlPpxPzxpsjPnfnmCcOheAFjLUkyLW40naDXVcaiIxSHpBNGLuqcnI8RSVdpGXzYlUpgnydmw1SV4k2oV03Jf/OdcXskzmOVQCfAP0kltaA4Wpc5rU4Wzcowvghusd3o7MMLx6eJxUSkSW0m6IW7K3FxqVWcv5SXZJMsLezCtSzl2uwuHTA7mruEuRWb7vZTKXyCsO8otC2c+WPPXc++AS488MvptDmBf6eSu3hJfh+Qmoybr2nyV1PN6HhgbQNzb5TwlsrjXUP98laDGScg6KclbIZOTPFXJMK6NHY5xVXD3nzy4Y8c7RBmvoYoRgJDz+jfE8iq1i8egtrM7k7xF6pgrktm9vnAqlFqcNLv79g9GK11QXQKolZZ+8JwJNfeFQqYa3cSf25qf2s+mxW5g3HHqfPJSivhzEGb/2Mj5SC0Viz3H1ud8MFtft9rX5DonxcS1WL6kNIF+BOW5e7s0AN2DWp4qbpnUNNgFs5h1dtgloA2ndAXTgn1jGx90olBH7C40ckn7i9AwQgfYRQZReRyjdSdbOu7jmrTr2YABhVTQouczsa3Ai7I4bKRz+U+8R7GOPxrleP+Op9Yx4+aCcJJFoxzERe8JWDLivsOFMnIee9GGMsiztAL36qctBrme/nUwTFhfbOHTYp7H35HWpnYKd0Lv4auE15juqAn3ifq2pYKnwVbp/AzhHIMkGWSkaxjxE+whi8NLNvLsszuTX9OxksTQCY53hTLpjdNy5w/801dhIQOUsLYU9Moe0K5igCORfkeWtatdmU3dmhGoBfgbvG2s590VhbSBWlUnw/JclS7niwyVMHmuD7IG1wGQjjTI51AyuxKrCalCcFeIzzoGyAcGpEatWFmUSr3FHJPKLY56pdY15xo2XxUWZZPBIBYw1eJqrALyvsQqtxK4li38BahXPG2HNplEEagTLY7KcRiLyUVRpRSRUnqKzYO/9etXvhO3Pd18iDrNLhxe85RFrX8Pb9S2GvMCkBI1DKttaBwTu3okEITD6fwlMuY05KiwLcppIrorqm6vrJNfNF7YOV9tWEY1LfI2ai/kRQ7r1T7l5cNN/WGh6qrUuUmgC3MxS/dE9UhvIcgOcSJfAS9p8WfORLHaLEh5afyxPK1jTl7hLsksHk+rmWRDF1oLsyxd0cQJu1tLhHO5T88BuH3HpXm70n7cWXacUwU7bKMMuTPwjLglk+lmNiJSnLLhyAS1NpcZlrdKkNRtrvyEhhAa6dWKlgcu3GUmusbC6ghYuVOuhroF5DLpfBrLAJIZN/Tl8a5mZSGg1b567e/z/+68bQ9/7TwUNHLy/autzNiaR7FEDLx4UpWTGuGxyWP5NOhlFM/Fvlz4pxwPl9Ph64BO7EUYxMcD3u8t6rdLd1UOrgdvfqqYqp8t0fvKRsZvC9mEzG/PHnW/zJV2YgDEE1UMqjpQxNZfJxFJQNzr7TGldlUt1ElKSaDEstQK1iicp2LC5aIckbf6teSCUNwmi2b4o5eV7yyFMBqbCTB7RQCGFLadeKe+oSU7h9CNVz44iaHOzVxUDl/MCEhs/nfxevrXW4/03Ny67XeRcVg4aJnSLKvyfKo/w0OeCV0mzZfsOm7Re94mveocPHZkaj/pt8mRAGvrXehNuRUg8IK3lS97dxfq8uTUTtcW1VmHheLnUua9fqwE1Ne8sSDJUkUY72VuVOD85GVMpMSJKiUrBg7wTfS9h3SvLxr7ew81cse5ed+8XfF9TGC0vnc7uBpnCfOLU8NXBotzakmitYDDDN8tmPOlNkKtfimcf3v2bIZ+5osfuEDzLGCMk48/HI60WKc53l8MyKxE8BVUc6GZODxmra4r1Jp1RDGitbCt0tjf0bRuf+uM4D1NrqXGfz1dJk4rU18FT93L5399/UIpdR2jZVJysxc93hm4w4PuMFKqXhZ7Rbthmg+sMTGnwS0KskyRq/MyFv6np7MqlT12+1GvA8meDuI1Np8GqrwGJnNTUBbjuRVef31g5USqMKv1ulKJmicnmSqZTP39Nm9/5Ke0shrfdddtCw5hcomHzuxCyVOnEe1xuQa564M5HK08LWpsgqhR8nHldcHPGWlw04+PGQOFMgPDLhMRICL68IlRSBbuGoiBoflyFwrpeMEShT1IFYaWKMybV4fghTpfgFaGmBrwuZ4vjgLtjdFWXtGI9VJLmKWIXNx7r9A1oXFzKkiWRxOSMxKV6r4dFueLTCap7GmqwtRO0PifJSey4Gd//7yQ+4OhGwdnNDnbWL5wVrF2AvmLsEunKZvNLdqggiiy1OpMaT1dB8pTJ8P+HQacXvfnqKsfQpJmhVXfP5CuLWQLt6svZtPPet3I+oTJNbutS1lL2rwUWtPiXTHmnmE2Yp/+TtAz51R4uDpzxQCWiPRPiMhEBllaMh3WBzAuSFN28Ar7jg8teksel5g8lZu/DEdY3NTf53tBQIU60eq80EHJCuzeJM3E8GmWvjysYW47FkGEm8SOJl2pDlGktJ4VxRdWkxuXSsDgYm7Z56Iqd8LJn40BPNDdKRKg5rF4mUOrh1JVFkncG9mr+dg7nmdzuHtCzuezG9WPOHn5vi5LkQlJdbgzKXJ6bme5eP3S+qxlITFutaQHelitPgXYG7SOHL8iibIaQiSz22ro/4ibf2+fWPBHQTGxAYI4m0srZhJioAZIJKYVcgr/7f/kTlV2E+v6m6l5XjI6WpGNw4311uGZqSwZ8j4FwL2IWMWcXca0uZWnBPhd8yAdgbpPSHGUmqCXxR+dIOON0/sqY0wb0wKiZzlyJgwhNdm7kLYFesXU1pLdk7L7ivAO0wuadzRtelNLFyRDtSpWDstLz3VIIXJnzy1pAP/OUUkfatPBGqlCdlU/GEJVbT3eWJdmG9NsRNRaCOVeiCvkjZG7TW1R5IZfLHbgXe8FJ+6h0D9h0N+PDnrRYHRSYkY20DTplRMnhVgFV8WW6tUWVXWlBXksWYnM1FVShmScdmv00t8WNlTPG3CkDrguSY1OMVaeoJiTIJbvdnk7hT0tYcdVqG6bbBs61cRZlpYfusBeLqydpXlFj1h8vHec5/sjZhdWGOmZAoxgky8y263S0Dles6aEeqFGB2mFxW1YGl7i7v7azBpWX41NdbLEcFuC3AfWm1tyfq8qS26hR2mYPnEtYOvl2tXYC8sAprVX2TWy/qiTpxKfPtYzzSzGM6yHj7a4d85p4Wi30FMgGtSLB6fLK6sH7JPTeT2zxQlRQq6lOKYNPkLF4COvfJtWGCse33ibD9BYJcyhQrneOB17Kaq5TCc8sYmV94Ekgze3iNfN/1ZkMR+KoU+bVAxAFzwdhrXWG152INsE98YEHFzC7gy7oOt8ajDCzdBoN6UFkMp6nAndUCzCLILPa58Rz29lspt36jwYNPNdGO9rZNDYU8qdeblK1Z7kmv6fF68LT6lrNnaYE5M2hMvRnC7STPjESZyhdPMx9Pp7zk6pjvfvGQj34hABWDkBghiLSHEsJuQYKbGnfS3u737fjgquiRMPb8l7tSS6dQTNoZLzXmzuuZjNOSqAsSK9jaFD+bKKPNKyBXs3aF8MmflXgUdob+cAzhGLxOU5K0JJ2WRMq8BHEN6nFfWvWPToCc5wB2yeLSVLp1grGFmGBvUQd25aLkz5XBy0eMSZk7JtLkutqRJIVjIh2JIq17EvoJB49JPnJrhzP9wO53Le2gdyWodmyYiBdW6W7XNVqDvSdvtUSPw+yrtlqc3C49L6FVsri3259sbGf8yHcPuOepkINnJYgEUGgkYyGdTaQqEBVJFjfwdPtuLbhFqcOltJtRlWwu7OMCzIVsKcFunFVDFjLFlS6FpJtgcFHFCZXaW92sLCbOJ0AUa/pDTdDQeM0QohBajWoIjJn8Lyb+pW929QgXyKuAbmrgqGxBp/KtrK92mFsVgJ8AeTkje/JxVmrvgsW9YhywSlEyw8ttwSBIiDLN7//5FHc92rS9bdKz2ltK27Ujqvkr5XstVhb3863B5O45W/VlrEpe1LV4vXzWLaO17Wa6cFQyTSo9VOrxihfG/OS7evzy7wdEqbQZKC1Jc1dFauG8t5wp3REOxrak4bw/+1w4sUHeXW/ASJMHmKK8AEzO1rY+pWp6yP+ZCft5teSoE2UVK3wTrijPqdaG8ThjFGnGkcYrJzrlXdSZnAx+/hcBXnuTzhK+pnviDvZZg72d/eflWvJEmrLb226brR2J4oz9LXR3PuO6DC5lih+k3P6wz2fuahHFPjS9UnuX7F0GttSOVcztoLgEe42B6t+GW9hUjUdwwQ1GFVWG9VrxTEuktlKlAHqaejRbKW9/xYjb7hrx1YeVtQ2RICSJ8BgV5FOwY1lSkbO1dEp5nVXGWoQFqPP3KUHln694bopS6xzopTYWwjI39nHJ2M8F8jXimOcGeD2PkGSaJNXEqcZb6UNvKIhTge/bLuT6tKoJJmeCmSaFf37V1cDuRM2TLC5cve16y9JxLAr9W+6nbp+X2ruchFoB21MTQFcVuL0c3IGfsDIw3HpPi72nG1aaCFsSKwrtLXAmSJlV4C5Xo/LCFg7QvxXnFF64KC25+lHtLbp6OFBVoyKlQuoMqT2SyOPSTQnffcuAB3cHdOM8/aqtHo9RFPtASHJvfM3hH1ZjK5fspAWSKoZAlWxeSJU84SPyGvIS6PVOHjPB3sVuzZXdPFlBaN/A6sabiiVKnAq7sUGnpZhue3hRLIhjW00Yltos/4BrAX0N5na10VqBZeHBlrYahTypJ0uqALMCdgXuwgevgktZDmY3NcauBZRFIsd1UaTtlNdk/M8vNPnApzsY4Vnfu8beVNq7Zg2uBjrCPR+ra+bXYu9aJR8ToC6ZfHUrW7Flo9YanUm0tL64kpok85FK81NvG3LglM8HPuORpBXINYJISJQuBkkUX6oD8hLUha6AfPJb/plM2TJWAl1YIMviPxO5VDHViAmoiqNcC1qb6nltKm39/yps1u5M7S0LYQvCfM+aJl7gG4J8J7HAs8uGyall7fFsE9/ZhGaSzmN3oGbFdhNjxlyp4njcBbNXM/Fy73vCMZEFuNWEPJnYs17le89YDZ7gBwkHzkg+c0ebwcCHplrN3mXNt7O6iCrBU5NjE4+L4Ohb6sZKAzhyoNDi9SGTJm86KIEuC6BLtLRaXEqPJMnotFPe9sohX7q7yYHTeVLBDqgmE4KRXWvse9Q5uE0FdlOCOndLKLdnyhecwkkpUveWvVUOskqe1IFuasG4U4VZevSTcqW+sggxQQxmAuDYnEEUpYyjFG/9nE8gJd0FC5YsDzRxzH6XberMXWftwuJxGbxyT4zTr+gyoKnJE1HOvqvckxLcBXMLdzB74Zzo2nYb0pElUuaOSc7knpcSJZrbHmjz9ceadji49C3AJ9i7KPJSQtSDYSbKiV0mnwgwv9WtPL9l6t6ptNN59rBwUvKtSKzu1pVM0ZJMSFQm0UKRRB6vvS7mtS8ZcfyLPpG2OjyvhCLFYyxAamfbKiFKA7tI/aiS0gpHJa8VF5TAR4iK7I39To3IA88a0PO/JV2MOE3ShjKYrDDlWpk1AnfOk32lGGYaJRnjxA5N8rZs3rKixPBLczPq70VxRpLKfB8X5x8oAqCJL6YKNp9LopiJYKxi7MmspTtbehVrl0Cvykbrzkldf6sy/Z45j1OktJ06Mki58+GA3/ijaTLjVc6JVAgh7T5AokrL1xncdXzWZu+/RhKz9k2tLiN1GyBybxxn/ocWaFE5KqUml9YbF9ojTTVBkPELP9pj7wmPOx+S6EDkkLUfINGKEa6gMo4sWUOTl154vtoW7zdfbQsdLvILQFONkjDO9y+yCtjVmDeHxSdItPhZJU0cEzPHaGYMOoM41WjjETTaX9q6fduK+oG3zA7ITh8Mff2TcZTl048KzSNqts6ki7DWmIByA1RB3j85UeaqnMCxVhlYANa1AJ1EjhNQlgVVzwFuV6p4tYSO7bU8sST4jY9Mc89jbbspjwzyklgfTwqaEkJJvsmVWV27XTvyBminht4dRlTUvEs10TDtnL/quXAu+omsrksGzhxAMSn13J8ZWDefEnqGB58MWBk5tQV5mFlMEa8qDh0WXXV1/nWWJVFjWFcvu1vhuL87KYUtIYuqGG2SBBz21mXtjiHVMI4Moyxk7+HzP3L3/c/s9Za6EUJAlmGrgHNAgs1OiW+hw5+Lueva2xnl5UqTmovibotRlyZyDc1d7DCw5qHcwDIvhc0fZ0HGRz43zWe/0cY0FAhl0Sk8hJS1fsuqv/GbdMyXkqUMPNb6zlctsWbi+SpATHTbT3b46Hx+oMmZ2xhd1agIidSKTHjIUcbbXzXi2UM+7/ugRxymTpAkMNonIi/PKPLrmc3WGEwFSor4LM9u5qPOcgPIBpt5AGkDTVHWmpgibZ9//4bi3Dk4yYraFFFKk1IhmNWn1C11cBsiAJotgR/aOnrvmUPTaCMI/ZTpVkyxVUg11WoyuzkB8hLYbr/dJMjrI8XqzolZ9bgG9sLvFjnAHe1dY3CZOU6KC+4M6dSefPWhkD/6Yptxlk/BF4U1mGcthalp7zVT8y7QoXYx1+SKWHW2Vn9ROQIK73lVRhOzqoTWSCezKR1nRShbmCXz4iypybRH6Gt+9M0D7nsi4KuPWbuw8MaRAm08Im3dh7KIZNI6zKVLyaBCoDA5qB2QSzC60OF5fbio6kTKBJ/rnOTny9qH9Riu2B179Xmz/6cLFyX/t5uhYPsmj9lpnzTTeIHv26tSQKYTPFV9HeUkO1GY/6sXoklQ19P0DktTv4rdZdX63o496IJbVDt7qVU6XNc98En2llkVYHoJwwh+7UPTHDoZYrxqt+Sa9i4k0hqSbE3HxH3NBfLkErcGyF03oGR2Zymuiq9cPb66NkXLvOJQuiyuEJlGCA8Zay7amvDvfqzLfT8X0h/nH0bL8n1leIxzaVAWd+sK5EYCOge1oXRYVB5QFsAuHBWR16SU2twhgRLozmqPEGWZrUsOzzmF1pUujrrwpCBNDMOhJtMab8f2aaRUxFGfaNBHqqptSmp3MyDHqimYu1x6zQSLuUPQJ1ncDTSdAHNNiaIdH9zpS8zZvGTummvi7M6be96el5Bm8Duf7PDYnob1vGXB3JVz4ou6LFGiztpuHDLJ3BTsI6qhm2vzjlj9krvElqCmKmYyotSatWpDYRm8DDq1tCDPJFrkR5ZLFa25/vKE93xfl9/68xniLGdxKKPCDEWkCy1uZYoL8lKiCCfLKSw5GpfNi9a1/LnMmV+STyourq+a5MvPsynGBVLJE0emFECflCg6d1OSRGNUk6A1TZqmeDe/7A34YZuzJ55iz5O3ommQpEBmU6sFV7uE5GqkenrV1JI4tSiZKiCqtHdlBwpRlyUV4Ov7M1bsnVW63E3q1I48sGxkfO2BkA9/skN35FsPMPe8yZt0rXNSZS3d4NnV4ZXVucYMwlpYJsrnYhLQE6y9Cu81oFcgr7N2PhW2kCRuEkhYGzGTCmm0rVdJFVMNzY+/Y8gjz4Tcdr+CVkpZOAIgBamWjCliigrkBlsaS2lbWs87j1VtWW8hYbT9J5WoFgLpMHoxkrvIatZkn+uN52AvHMzJNdA45KAzQ6KhP0h56/Uv4uYbr2Wl18drNgReoJieytgwN6Q78Mkyj6xgaVOvVZisF6g2GaovOSVjF1aRXB3pT0b9ygF1bbs6Ue2wawGe1f1uaa1AWe6rbgNLKVOkl7LniMfvfmKKA4uBbYPP/W57Lyv2dhqeayBfS57UpMlaTdmsfStOpZkA+YTurgJ7pyx10iM3axRiGV1uKisKqSIMQnrIxLBrLuWfvLPPkTMe+08KjOcKLAHSJ8tBzgTICypVJRByv5sczIhKRxcXfn4OCwfSlGQmikWvki7F71OA2lQXglm7pqc4hxqIYjjbNQwThVA+Bh8v1RlCa+JkzDDqE6czpKntznD/mdoX6AIZl63rAK87Ji7Qne0uatLE5IkePRFwOrpb6fz5ZDKnArpSGVKmBGHKma7g1z44xWdub2F8VaXjc2myFntXdd+rU/IuuNdK6riMXi17dcCbyW/IrH5tdU2Kq8MLQLsBaNH5YxlciuJxHnxmmhSNL62r0o0kP/+birMrwtZomOoweCWTV/Ikv9CK+5y1lQSjqwy4EYWDYn9HVh/R/ku6ALMTsDuMXgJ9FZEUiaa1JjcUmxwIgmaKH6bWRvY13unFgPn55pmH9rS/8uBDF79h00zK3HSxVdykG1JfQibdEffnbjOuuwuurIG8HlQKMSFFXDYXObiL4FIUbK1rlqCUFty+lxKj+fy9bb72UCuvNSksQZkzeMHe1a7B7rxB1y1ZVRbraHF3RZtk7hL8a1hdNY/YBTSVZ2x0VaXnVhrK3E0p9HgmBELkiZ/cWZFSoo3KX5MIYysOQ8/w+hePectLh/zJlyRxKmzatmRxLMiNZKwtgorhOlamuJrcjmw2ObNX10lRq1IEmoUNOMHWopAuqxndCW3q8R558shUq2ygJOtmBN/z6o3cfJX4yqZ1/plOQ6B+53/8D15y48tXlAhWlBB/v7uySCNUZbNvfc6zWwS1umCq1oUj3ToSqtJWMZnYKQqn6nUmsmYFmhq4Xea2bF1lLKW0c04yqfncXU3+rz+Y5vCZMG9iqBI6SA8hBaGEhrSD7L18DFwxW7xK5lSj4ax9WA3mL6fcCuxApDz5Mzn8yA5FkvXETXF+Jw83oHXjFocw3O4nO6WgyDWsXZJcqxnShrmpjCsuTjl+TrH/mGcTPuXVWF2thdVXjb+Y/J3JK3nyInf517muC9my6qoX9VjcrPppvdZHFDvnSRq+ZueFlzLVXv+vjx45+sALrnu53aNnqm3HJQw7mqhXbZtd/oM1tp6UI+7uWjjJHFeLG+qJHTc9X8mQuv+dyxRVuSbSkSI1cOcBZWEJ+n7G4fOSD3+6zd6DIXRUKUlsYsdq70KalH2WTNSmTzK3e5TnaDL7t/r7rp5X39xayR7L2noi4VO5KLK0xurpezsXxO46XHjjomR2mWNR26lXxpBpjyQyXL4r4Uff3uehpwKOLDhLVRl0WhmSIhgLG1ySj3Az2pQuinF0eVmjUlc9lnGl/ZnMpUrRgV/8Tg1nugrkpXOSdPm8Kp8tnJTBWHNuMWJqdkwUOZtQXXzJpQRBg8BLiXoH7QwRp1eykiVOcFiCeXI+yGo70JUjJeALMDuPXRtQlMGlpnJTisIpnUsRt5gqZ2+VsdQX/Pc/meKOxxpVlWCRsczBrST5DsXuGOQqrlAOmNeyBdcC/qQF/te9uQ0mtarCmtdbSBYLqFKmCAf8TqZTCmMbDLQ9/1qovFVMIlBoocmGmlddF/HP3t3jP35ohuVRAeycRXM0Ge2RSlE6KAXI0RbIFIDPyaJ4j0Y6nxEQWX5BTMiWnMwpikQK6VEEo1pWMqUoxy2BXQA/1kgh2LR5K1ddeSWD4ai4RmHduo1cuPPS2zzO/saGeUXoZyg1qb2ptHXZDOyOcSi8Y6fyr5QT9fpttzOn6pC3dl/llkx05ayqDiwep7WEzlgafv/TbT74yQ79xLeFVAVz566Jnd1XOSe1oiqqzzuZvawx9ZpgnijK/2sgfbK7vgRy8TPXbXHswspFcS3Eycm0tpzWOLtFaK3yjiCrxzse/OQ7+vzU2/s0dWo7dk1xn4BOwaQYbUgNRBoiLUjyIzWCRGNnmRtBWmwHbuxErvJ5Pt8lM1Rb/7k/c+7L3yuKqLSppePdKkJjbJnJONbEOmD/4YXfuPzyy27bvGmTA/D1m7n/q7869My5w9MdCHzXQnE2+nTS+N/sqAHXrSEpX8+BPNlaJpwg0pEkhca2MqZI5NSZW8oUfM2zB33+7LYWvSSfjEkB7ML3tuPpfOEGlabStXkWc81MpatjqVh7VWre+W/+Okiv7+aL81iUdeFFyUR1Eayxb3u5g3G966cAfKaVA3KF0Yo0UXQ8ww++fsAVl0TILC1BXQd7VoHcQKwhycGd5sC2Rx3UJcjNBIB1HejlPMbivtwIoDiM0/yxWuLFqSFKFYeOLx7+4X/8fw23bdtSARxg+6VvYedV34dsXcxyz5bN5u5PPfvoSAtbm+0ytqmAu0YdiZoAuRIumF2Grx9KTUiSNVLxnp/xzCGf9/z6LE/tDzG+rGRJyeDSsQVNOchncqeGtazBtWRKLbHjBGKVT/jXlCum/rDui0/ahdUW3LVNXJ2+zXJgkJGlP26cyVhaq3z8myIzHjpWXHtxwvt/foWrdkWQZBXIyyPJwZ5X7RkYa4h1DnJt91q1rFsBvmJzh5Wdx9pUbF8A3wVybYdtvbqwSghbUtQMNK982eX8q/e8k/f8+N8rz2cJ8GGygUhv4OCpGY6e9knSqsiqZG03KFQTVX9uaWstKeMek6WtpgJxeQFMSpMcyIX3rSpgyzyh4/mavpH83qfbPL47JFMOa4uq3gQcW7AG6roT5H7mus6eGAsxIeGKE/5Nyk/WlCc1jDtZzElWX83sqyWLu99mMZm2kCdmYjKWtRDtzhEik1x/RcQ/ftuAjsyn5qzB4vYwZBrinM0TLUhMxd6pqSRLNsHWk5Jk8rErZ1YfVRtfId+siyLZtsHj+kunuPyi9Vyxa748r17xYKod0Gw1Dmzd2DnYX2jvMmZc6tLSZZhg5ck6ktJVKa0t97UqoBS5Vq8CzYrBSy9crCFTiuBSZKj88PyMoYYPf6bNJ77WJirAPMHcCGvRlQVVz8Herve9irFFBex6MkdUkmUVsr+VPJlk76o8dVKHayhHGVfgdiWLyaesSmSeBBJGIPIaFWGkzUwbYx9rgyiclcwQCMM7Xztk91GPD3+6wyDBnjCdU2FxnzewZVpWPZllYFlsypqPeBNVJ1Tx3BSta7JasaybYoeyVjNXKJsnbDBLmVEV2DGLyoDWGUK1Gaftg5rwQJKlqxl8y5YtHNhz/1c2ru98bMvmuXxWttvMOylD6t71as2t12D1wgfXJYhXyZE1Nbiugbtkby+lH8MHP9vm//7gFOcW/bK22601sYdw2NusylaumtniOCpFdL9myn6CtWs/E98c3AWq3UKr8rXaU5Ez+iRbOyn7grGpSxbXWanrclXbqtCOgFNsmtf80o91+Udv69MJ07xRwNXluVQxGRiN1laPj/PgM57U4pNs7jzXawag+fbchYRx2LyUNtquIFkGaWYYRxmt9ixCNT5229fu+sqmTZtXMzhA4Pv4fuMLzVC81bTkdb6XUcz9W9WUULJ28bqu6XTXDqx74ZXvXbcK65ZgEVCuBe6iv1I2DJ/9Qov3/uEUZ5Z8CNQa7F3PWPqiSuAUrFLzvOE5vG9RA+9kE4MoeOV/1SOcZHBHX1ZSpUhTr5W6r7Kd2gi7jbaogC1M5YkLUbA2+b3MLWDL4miPJDZsns34pR/vsdiTfOzWDjQK9hQTTF68TUmCw+R50ZXGglg5bK6EcQqxRJm2L3xwSk9c5I+L8XBUJbmiYnmtIfA9Ui0ebzYbX9C6fk6l++TaF76a5ZOfv2d+avnh+emMZpAS+PlQy1ofZJ2ta502ymHeWvbROO5HJUlq8kM4zQrfBNxSZqhQc+CEx0dvbXN6IajALSYOKa1OE5Vz4uWJiclOHbcRugQzdVlSBo/5F+Dq77+mKinB/E1/7njfq7bwwHlcaHK9lqviBp5VwFk4Li6LZ1rlel2RxpLN6zLe/V1Ddm2PIS60d8HkeRCqKyY3pnJYIi2In8NZSUs7MQ9KJ/R58Zp2A9QiSM0qxk81xCmMIsMglhw7Gz38Bx+97Z63vuX1tfPoTZ7YzVs3IoRk4XSPfj8l03lfdbFsy0I/k7N23gUvXZZ2s5zFz3Sd2YXL4gXgM0eTVzagKO3BvPUs0Bw85fF/vn+G2x9p2AbKmtddlyaeoBwD4cnVWnutYT6136kNLpqQKRSDfoTD5Gs5LvZ+LZekuCrcvXDcIv6aP176v3nNfl4nLozdGGqtoiyBBYnQMk8SyTxTqBFa5lV7hswo0Daxp8eG17xozK++p8u/f/80h04H4OfvRmNFc6GJpQE8DII0J3irwwUeDpsDSpuqjFZbfa6KRaFYkfIkkcHWlZOzfTHOomR7A3EC7UaTLdt3oPVq2lgF8E0XvhkhVKyTjxFHXaJEUZQurq7VdkHKKilSBIw1uYIrbxwmz0EtRP5YaaSog1vKDOVrjpzz+A+/N80nbmsRi3w3qpKxXZDbQTSecOu819h+e7KgzPW3J71vB7guW9d97zVu7g8nvocC8II1tHj+jbobP9V3Ry7cFpMHekVms2qEkDrf1EmIEtA2E5oDXjud7LlkSTU0vJR3vW5IpuHf/840R8+FOcjzT6uzSrIIKIrYtBDEwioaXwo0xk5Myy9ULaqKzSLoLDKbxcUgs4mWwWJwkLYXVlG2sGPEZQAALEBJREFUMEphx+Yt/OgPviFO0ozf+pVvAfCgsR7pzf6c9q+8cpwsvSpNh/hKlAFjvcKvnmoXEzpbuExdXgAOk5euScXcQmpUCWwL8pK5Pc3RBY9f+O1pPvnVFrHMt14Tax1uxpJ6GSysLU2YCDZZA+yO3z3pqtSzPf9rtwlc1+rCV6ftK8YvJIwwdduweE04Wlw7+rzwyq0rUQDcgrtoKE5Tg+9l/OAbR3gKfvG3Zzi6EIBKq3dbu1iL0UB2KFxKHiQKQZbHP1rY39JGOIF+sYNfBWgjHGemWPmErVwEY0MtNNs3tnnli3Z+49rLtv3c2aXBqvMqJ19Q/hyPPXx7rzua29sdtrM0szPDy+RMMbl1wtOupddV3RFZK4lTaexJcGsn4KzALVTGqSXJL/3ONJ+8bQ1wr7IF7UnzpWXvYgSbKi80t96BshOpkCHggHziWCvALL7tmmb/X0D3ZIA56YtXL9ql3tXbZVcL9SH6xVzDmmTRxfbgxbSsKgFUpPRNnunURpGmEi+Dd75uxP/1ni6b5xIrgo2bys8mDl3q8ix3WeLSZSmynzYTWmRBszJZ5Gr3Qr8L0sz1ze3F7CnBxtkgu3Bzc++tX7itt2m+s+rUemuebwNZ0n/PzHR4YzLmenfen8ve4jkY3JUodS2uKzCXEiZzflYBu8xcigypNKkv+MPPdfjEl3Nwy0nN7a0Gt1idsVw7qCzYuALoWuMhXP97LX1dZjLFtx71O8netWzmqqSO27ZmagmgwhIs5E1lI9oCLNdJwfHFrRa3Upq8IKvwybNcYwsUSIPIDB6ad71xyN7DHr/x4SlSl7ALTV47qpp7jSABsvzQ2OZlZYq+TJFrcJNvKJtvUmZcE6Aa7gkgNPhG4AWtJ5dX+u+Zn51a89zKtV580Y2vYaY9yDZvvdAEPvmmqdVRztx2dicr67PlBKPXOt1zne24J2WloHAzlFnlnCgNnuAr9zT5+FdaRFLlhdQuWzv3rCVNHEBjnIYGU1ao1fbbmZQnDlO7WtsFdPELq8pk/zrgdn6xJlMcVl/lmlD44pO/lydayjS+45FPBJ/VvaxlOE2Zzs/ZXHvoTBJqww+8YcjrXjpClOPPsomUfnHUGd1l89IzN9Y3T4rDFEVctlqgKOgqnscakkwQZ/Zeo7jkkovM2cUk++7vesOa59d7rhO/decryNLRx+P+M5dJfaxdsDaujbYWS2NK4Ag3wMyDSrudncvYpgwshagKqqSwmlt48Fd3Nfi5357m2UOhrXGVz2EJFoHlKmli1shWTrSj4TQV1DBb3wqv+IVVhVZrgPpbgnsijblanojKA8cNLCc88QlvuO6TG1xP3N5js5vYZgltWyZKhwUDwhi0VmUpqxAGk8E1uxL+67/s8rMKbr2rZVlcPdcnNTmHqvxe1pyW1FhN7ZlCPpr8n3M0OXYFlf+/9r47zo7qvvf7O2dmbtum3ZW2qEuriigSXSBMt+FhBwjgZ0NsxwX7ueISP2M7rsEBnBgb2xBegknAfjGmhGcFxxhDZJowzQIkilBbCRVYbd+9bWbOyR9zzsyZubO7qgjIO5/P/dxpd+69c7/zvd9fPUA47z2jwLic2tk6+s7TT7i9UMjiC2N8AjbGdtQ1TpOi9MT1U6fP7K0vjCCfrSDjuHAsz2iHFp+KL6bLuVkYbOSSmBmBTICRZ7C2CGUJ5wG4f/1wDl/5SQNe3GKAOwbouDQhpqKVMGZm0PobSVCPIzfSvCpIMnh8UGJhXF+3HGd7MvnK2BYaoIkbIhayB2JRzNg0KEaRsjS1tzTzVIwWzWq/rxK0RJVh0UwX13x6COetKAZCWSQ1uJGcJZO5LEFoUigdXjUSt8qCUJaEsiBUVCKXflQEoewTRlxCX5Vj9yhh3qIFvSsfeuH6rtlTx7zUYzI4AGQblkJ6faDyA/C9UVRdJ8g/kNrnaxQYI3IDmqwOxdgwdHjkWVGAJ9/IQdGyBPj1Izl89acNWLfRATLpEcq4NIkCOlaK5o5mmZAJjT0O2E3MJpg7JXnQQPue6/Bk596QrcP9kQ4Pm+WHx5lsHvnEwwhgwjcuJAOpynvTywLJlHyW0B1soTS5dtWEhWdViSWzXXzvU0OQErg3ZHLjC2k/uURAvaTYXOout8EPIkmF5SkAvPZyWYrFg4BccH19GSR4uVUPLQ05LD96HjpaG/H1ca4tG2cfsvWzKzv67E+senHOaKk6CsdyQyYOW6XFNHjQJi1iY6MKR2+nQG8zJUco9Jp4AdBZoLl/81gOV/64Aes26yilAWYF6Bh7q7pIJwnukLWjkjSzoKGGtYFaDW74uqPneOGDvgPiqxND3Cx4AOLEngzbIyyGiM9lGe8CnNTbSGhxw5VosHo8ZyXQ4NJgdClVeq3OY6kCh892cc1nhnDOScWAoUNNnmRzoSKfpl43mT1gda3TPaEZHSiFmh2oSELFE6jP9OPLl2ZHZ07xPjGzc3plvOs7LoM/tbZHZLMLnqyf/OdD/756U+GSd1QgJQsDM8QMj4iKVJBi67hGFwC0htea3A/3RaF4CcEZfvt4Fn/1owa8OBa4Y4Zl5DUxAzpmtmCyv2AyamkGesJKeYr0dwR2it0MGsoh4JNiXCM9sS2hQowdFFqTyVTauNFp6HHjZghYWTVMVXWcFLK8yeIA6R6HYSRTLTPN4mTocRWwRIBhIgkSHKj6OGyWi+9/dghSEu5fnYWvXwBE3pVQi2sWlwGrm+mCROGzvlF9AnwQPGVT2STh+8DFZ3JcdsG7htraZz7pVrYKjDPGZfCOKVOxpKtx96Q8u+jIxWe4r/XmgotIMuhBEs6YELVJC8vJuOkNCZictAShyAeuc70ZBwRnePCpDL7wgwa82G2CW1fmaFBbCYAb0gRINSiT0sP0cZu+71h+SQq7m2BNHmdiem+HTDzC7cbGmDvc2K+1d8jysaQsMnS7MVOEwfBSgduUMeE2M4dc6XGp9bjgEFXC4pkurvv8IE49tgwu0jR5GqsbOS1mlqJwjUdwjJZeDgFteRcLZ5/i9vTaFwFTdtuZaeNe13EBPq2NY3igG4vnz9k+r2vxJm43QkrVYMdS01+rB9dg52YZWZQkRQawNfDDbVxCcML9T2Twme83Yn23g7DNlKm5kWTxANw8NCqjvOOa5j2YgL2RlCy1bddSAW0Cfwzrc49dhUnA64glkno7AiYSOlwoqRLJkugGCINASLoRWUKmRNvMrlnReYz6Tp9BVgnzZ7j4yZcGccZxCZCPBXhTrpggFy4gqsHDrwB+FfBdCCnhCR9tLQ2YM3vxprYpc7e/tL4bRNl9BzgAMMYx8NoD3VJUP1bfvBg5p4SGuhLqCiUU8mU4dhWWpYHuwWJuqKdNvzY3fdvM0OAOICzCA09mccXfN2L9NgfSGccNCFOuRAEd7TGxKO4CrAE0gDQvSRpLpxqbyWMSsDTD+MH+seGdGq2EwdrG5kijh467wPYT8WPik8iagZ8Ei0OvsxjYTRZP85GHGYiSQxhlcLJCmD/dxQ+/MIjTji2D+QJwJQAd2UwyeMJ/LpLsXQG8ClAqAcUSxGgFI6MuTjh6Aaqu+7Ff/np1N2McEw1rogPqGqfDc0fArcLOwdfdh7esX7XipR1DYJxQlxNYNNNDlhNcl4XsEP3sZo6D2mNGMR1ga5+F1X9y8K2b6rG+24F0mMHOSe0dD8WT+gJjeU3iQI9Xxwf+VSMtdgxXYfh1jGhmWlPNcN1g972RLSGmZXSiWNSSzAhnpMFBBqOT0tp6fk3F7kEuuP5XkFEIn0F5SyiMcgahxSDxmiSDEAirbILcFfWBVSYhMamOkSBXYuFMF9d/cQjfvEnij2sy2NprGQla6i4k89ZNGijqS7oSGe5j0RwXdWqSYjhtOOm4rocvefeKncOjJTTU5ScE+B7LxT88/gCa6gsX/eo/Hr3j1jsfQM7JoLnRw7nLR3HJ6UV0dfqQQv3MKf+5RAI6SAQCmAOs327h2pvrsfKRLHoGLUhrPFDr3iZWTHdnKEiDjZr46FYQMuxEFZvjkkVleNF0hdE2omhqklgXKlLbVCerYF+wHpyL1LrqcsXVOuljov1RRyx93uAPK5zwSn+mWIewxDPFu4dFiXCJyit9rCoEN/utxzoc6NZ44X5hbIsyPbkRr4iCcpGjgJgELKBnkGPlY1lc+0/1eOVVOxDQSR8rpYObhMD8qVVcfMYo/seJVTQ3SHh+GVT3HrD8WRdDDN+5cP479wi3EzK4HjyzALm6pifb2sv3TO4onv/Ms1uBnR6eej6HDdv6cdOVA3CYMBgoiXAZfiGWJWzYbuE7N9bjrvtzKPtM5XSPBW7tCmQhxWqvCafaqUa0no7cgmajx/Rt8Wsf6Y+I4WuFdcTiE1mZe8AjxnVL8kNtZBJR8xuFCykCFzNCSaK9KTAy87RjI17uRlq3CwZiIpQxpBrrgwXMbdZLCl3Vo+wEXeXDhA/yJNqaPVx2bgkZG/j2T+uxcbsVsJHykNRcM/1tpESGfFz5oSFc+q4yZCUL1+Ow84fDbl56DzLznwT69hS2E2twPU5eOg2lcl/3J9538ucOn9e+smtWI2wnh1w9oVRVVnyU8FH7UGhiDmHjqxa+dUM97vp9DmUwPQMtzKBNpLUTvm8lD6KOsIZRGZahxafBiGnv6B6pfVZANpv/pCZYwdhnwJdoj6AcB3XNUKLOyDFJHh5zjZu5KaFBCkhJtQ9hNgwymwYhbmQm8lSiWs/IwJTSfOioqOq3IgmiQshIgYvOLOGbnxzGnGlukHAi9UMZmrFHsI9IIudIjAxzjBTrsKNnJnqHu1Yic87n/PJQN9H8Pb7EE6t0Y/zDT67DilPPHTxm0bTDbbdvReek7fjkhT34yAVDaK0XANcGTJB4z7hGg/JVZwhbdln4xk/rcef9OVTAAoSSylcYi8FjfvDIJWgzI6FKN8qkKC02Nu89wXiOtHlsxjMlNcIGlmbzUaabPRr7Sc/LTtG6arQZZSGqxpux9WS2YsIYRmIbkpVFlH7zxh6BMRpLN0B0DvMfLLyvUoxrvR5bSLw2eo6inbrixmESC7t8TG6ReGadhcFBVa2g/l6YlLCYUDGLwBr2wfDMuizWbs1jYKgRZB+JKdNPu3uw79W7J005fG8gu+cSRY9FczvQ3NJ5jax0z2lgm987q12isQEo+8Dt/5HDz1bmwXnAL//rghLefUYZeQZUPOCZNTZuvDOPO+7Poqr9eyFbE8aWJzz8ZaI02Ci3JNTXGKPOEgnJkgoI48dVP3hMgiS3GedJjn2peYgVGofyQ3tMDDYnY1kzL8m43NCBHUpEO4GwmZOZVhsFgxDWdwoouUJRK2YphWJyFcoXgU0hJAODCvGrX1SqDyg8iYwl8d6zyoAAbrgzhz+9aKPqEfIcOO/MMj5xQRGQQQffn63M41f35bHx9Ty2rarDq7un4BPts27vmL7smp07duz1dd1rgE+fORMvPf+7wZbJiz7c5jwwlWCfXKwy3P5AFl+5oQm9/RzEJKQn0L2dY/VaG5efX8LDa2x84x8KGBjicNMoLGrOgFAMm5lOiLwmWpLoIoZQc9dIExmeOs3vXVN2ZjBjEsS1gZ7xUbzXGNdYTujwUEOH68q7QvFjAjdJNDOEGRyS5nmUVo8q8inwuOibQvnQubphdEMSkkqbaw0tGIgb9Z9gkPpmoeAm0J9Q+BI2l3jvWSW868Qqvn5jAY8+a+Oj55dx/jvKmNnpQbrB77Jwhgsi4Pb7cxBWBrur+UcWz5r+4X+947fF919yzl4DfB+4JhjlwUchIR9Y+6ebTn/oqR246l+b0TfsqL8e5des+GjMCpx+UgWr/uSgf9Bg7ZgcSZMltezNCciSnmY78JaEoXkWBXfG9poYDF8jTYxEe2N/4FmJvCeR9KFo/h5mSBVGkbdFyxNGYR/xuOcFxjkMz4r52ZmMSav49OZGD3aC4RkBokJuo6c7xT0tsdJD1TWBjOVYGw8jtyhIkgui2bFClaRnRZUeEpMhoZFF6BsgrFrj4IzlVTRlfYiyhO8HeeeMgP4Rge/eVo+Xdi3G5e//4INE7IyLzz5yn3C61wyuR6ZhIYQQTzy17awTv3vrI7kBD6AMg5Q+4JYA4aNrqo/zTy/hfeeUkf25xF0PZFENLegJHjEmj6RJ0AG2tnCYQUZa1WDe+LpMf2ukLCMhW2oYPC5fzNnVTNvRzFkxR9i5ydwGI8hjMrleTyZXkRHMSWYPxiKcMgoUkXkOlUvOoip9TtEyJaKeYV0nY5AQQXGw1IytDFL1em2HRd88+ABVl/DbxzP4u5/nsWkHxwWnlTC31YcQNirVLHyfI2f7uPrjwObhw0r55jlPBDbavo19BjhRC3b2lr922op3y6X/2ff51U+/ks05FkqeRLnq4oTDKvjm5QM49cgqsnngGx8Zxe+fyqCnT7O4+TDcLckAj5ImHFE4PmRjpJegmQycBL3ZezAO6PhEUpHeTg/qjBWWH2PThEMmls0oZxjkid0NSpLE3kxtk4jm0lFSRHd7YKYWD88dJWQFADZciOocEKowglF0ft26TcJ4LyVXKNDkRBJS+mEV28AAw3duLmD9Jhsvdjt4YHUG3/zIEJbN4yiVCyhXHRCqyDctLi8+7N0/ZJx9nage+zr2GeAA0NGSFd/+8cpvLZ3b5lrl4a/07HrNGapITJlVwt9+dAjvWFYNLnhVoiEvkM8a4jBGlUANc4OFi2Y4PswRhjQMxpS2a0iAGImcE6CGrc1tIWcY6K7JRTG2o+b4PYS5ZvIEc4dIp/hq6AIknS8en3I90OsUGIQxAzT43rUlbjp3RTE2GayvJpmFFKomkql9QkVCDRdkGourm8ckjdEyMFwM3F8V18J9f8yg6GXw7b8so72xHsOjGUxqbqnm2OxrB3c+eFXz9PeLiS/iQQI4ADiyXJ3V2Xx1RrRVd9UNfyeXKbHTjuNYOjeHcpFg8Qosy0PWkThmoYvu7XbixzMNzASLQ/U1Qe3krKErMJHnnTZx655IEhOcIYiNhKukQZqEcGxZAjW0P9FIHitNsMaNythhpleEjJI2MlNqTS9JZLRq4IOgCpQZSIjICEUivwVREbMgUgGjWpDH01/jX+rpl2yUK+rf2bIAymL1S5Nw3e0uTjssi/bJjWJJ04zv5OrafjA4OFLdX3zuu7hR48rPXoxF06h09oqF95x/zjK5/HDC3I4sRooFVF0nSJyXBNcHNm3nBqhNYCPFo4KQvWNV8TCSqBLL4US0lGRpmQryCFhUw+A1wJNmMUN0AvM8+yJN0kZavrhU7xtn4PhsELHsw3AH1TK2mXmoo6DqWQeAaoNBiYJlEQ8KpT4QLesPPqfTh81VVJs4YDvIZLPYtLWAh9cwWHVHStc6/J41LxdK0+Zfut/Xcr8ZHADmzJ4BWO2vsM7sJ6sjIzd6I39gQNTsR3CJl7ttbNphJQBuokjTZ1TerrtSmW2OuRmkCYtS4wYnwm1jMzeS22B8NCS2mx/P+MTxhTH278VIUymhX1yBUQdQQmtWuwh1hqGSK4CeHU2GofgoOSshVZLPKcYnSVLz4VBYLJEGauiChdig8G9jzlQf82d62P2crRK9Al98WRAOP+poMaVzziePWDLvlVc27ToQ0Nx/BgeAuV0L0d64ozpr3rE31xXwxfqGJjhWCY5TQRU+/rgugy9cX4/hYf12ysIJUUHxZ3WBIvY25q4EYpJEA7mmn6A+U6oeH0OmJAFt/kRUC2qdn0Ipv+e46xMNI1W2Jjxv+raT28JnCr0vMaY302bDVhLRMWMxdmwKFb2MFHAjOkavB19fhuzRUC/wg88N4bglZRRYBaxaRankorm1FS6cL77j5GNvfuaF16uLFy86ENA8MAwOAIVJi1EpvupPnnnRRnekdbi0e0f9H9eN4l9+Nwm/eTyH13sAmwtkucCQq6wqU6yS6UmJStC4cgkG7QRq0191E/4abZ1kcGOfyd6GuyQe0USi5tKg1onwGt26lH78OIlVMQpPMTIpsSINNq9hYoq0ucni4TR/2lNCgVFJ6nghgp8jMCqFKlPTwZwoukncBDgLo6cwwK2LjxkHhlxC1pI4ZmEVd/1NH36zOotb7q3i1aG5eP+FK4YvO3fZxle2vOYfv2zBgYLlgQM4AHArD273r7Qzp3zq+c3VH37tHx9sfnRtGbAkCtkiLjh9EEctcPGTXxawZReP/j9qUWdU5iCW/BRjciWBkl1iQ4ZPTkGCWvY22R6IL6dZkUnW1hAey+BM2ziWsTjWnSO1m8WIWIZSg4I6TGnKFMhUGRK+xtDyWiJoK1bHH4Wh4RnUzBHMzCWPdLY2PCNjM3pfQhBk2rzLwo9vL2DpAhcXnFpBS52DS88QWHGUgy3FU/pmzjn+ipdfHV7ZNTV3ICF5YAFuOc0AgA1bB2+bNuM86/z3NF2zq/TQ5K07e/Gu5UP4u08Po7HZR1NB4Ks3WHh9wAryhEN5kiwgNuVJIt8kxRceglizOmKJjCl6nKK31vhK3muJ19UgmJKL+2dqyrGWTf1MULVDMn5whH21TKHLTrdGCwIwynUIhPNrhn5sxe6hn1xGzK37IBLpSh9EoNdFyyRCRockMA681s/w3X+qxy/ubUBTM8DYEN55jANPTkHHzPN6FrSd+b+B4m00s+1AwhHAAdLgydE1oxGMe7d84MLlV773jIU9x85ycOFJWeStOliujeOPqGLhVA/wDGDDMC4NeaLliDlhFJlAN9g87lFJlyfxbLsx9LihRWKSABifqdOoeW+HwX4wnmOnTzMS9XLI0KReT4ZWj+eBQ+vosElQfDqUqJF+QpebreBqtLiRQgsCtyRe3m7hiefyqPI8+sst+NWD0/Dsy+2osOU9DVPOuFIK7xai1oMBxYMDcADobG3Afb954OaFUwtf/uC50/pac/XoH2yE52YgXVL+Vw3sqO2aliG64UtNJiBLMShjDxlLhw2lCwwZkmRlSoDVZGtEjAjzObk80b5xRqwnihznxYZdbq6H0UpQeL4Y4FXhsdbp0dSDiZ4pKT0Mkz1Toop8hKydVsBsVuEzIpDFAJ5FoS6L/t48nt+6sG+w2PbldWseuZnx5oMFw4MHcAD4wKV/hvkz/FuXLpn6mRnTO4YpSJKF5xE8XwGbRc3qQRQWDkeuQXOKv/QayzDtPE1rIw7mgOGp5hikgD3aR3GQI74yxua9H4l/AErZHvNxa9ef3ifjzB+yOCgG5mRxsjBYXxo3gTALJJKt4FILlSkGbuEHrSUsDlh20Bun4vpo75w+zDKdn3ni+fKtS5addzAheHABDgCzOofEtA779pbJrR9taplWlmIEjzzj4LktOSBrB8WZzAIYC8EdC8kbhmaNBwUGSzNjew2gFWCUNEnzSkagNrwnCesz1RA9iCPpIgxXDFkCxIGt15Fk8TA9FnFgy0ieBKVozGgjAdR0vkpW+qgqnyhPnMFX3Wk9YaFccrBklsRJR5dhiyEs6eosT5na+VHB627f2if3Kwy/J+OgA7y968NoqtvuW86Uu+obOy7z7cPKO3dzFEt5kJMDcQuMU+QKRG22oJ57k1McxMlc8KjBfUrFDEOtLkct0+8VelM098ECvtnFKimhYseE0U2KATu6KdJaSgTyxI/pcMM3brZ8Cxtzxlk71m/F5/B8DtezUapkUchYmFTn4+ilXeVZ0yZf1j6z864Xd4343/3Sew/S1YrGAfWijDXy7VdADnzfR+O8u3t7rA+wfNs/Z/JDecfmCNr3Bo0VgdrMv5i70Fw3ixhYSig+yeJJaWKyd9p+pMnu2i4nEwJ6nAPCyOSYByReH3pQ4t6S4FwEPUlTzKOoPoRULxaQYIh7VQLPOADVSiIqfACYKpAQkpTbhcJWbrp5ZyiHtNQBQXo89MqIPsJRi+YXR/n0D11367vuzuUflLd+70NvBPT2riZzf8a3r74fZ555Ko5YtuSF08/JbZ7aLM8sDQ9lhQdYLGh07qvfy2Lmw5zXUsbqLk1ZEjK3Afy4IZqohUTiBmAK4DU3h7ltomXaw+UxksD2+EFxVyZgZjhA66n0QFNia3gtKFpGPAPQeGlNxDc5OZlOr3U9G1WPo3/IQX950eCMznkfv/Sivts7mnbiqs9/5I2C3RsHcAC45Zbf4OvXnI3vXNG39vjFhR2Tmqad0vN6Mb+zbxSD1WDSIiKCQ6pqRz941OckWVBMCvxmV4lkbniyFG3sbENKcTOOA2qGiQGOsQHOxvwcEz/S2z/HQQuY/1Rp/0MUf4r9nSRAbrhVo/3xiYEtHswA4tgCxTLDSGUaRtnRvY+83HbF79dYv5jfmMM7z/7oGwm5N8RWSh29vQOwbevDD/7hsavvvv/fJj/6fD82724CWRk0WISCJZHlAjYPGvtwwz3ITeZm8R/c7AXOMAG4MRaQTZmktuvmPiazG6Vuwb8HxcvXEtt1syD9uWM3ZE0JXVS2RqY9wpAwqJPpwUbP9pptgJmbYx7LjGZCIXAJxox4JpiDkjZLtc92bA+O5SLjVJFxKtjyehUbd87CggXv75m/aPlXfN/7Wb7QeEhwdtCNzLFGS0sT8nn62XnnnHzlDX99as93P+wiR0Oq0boqKk5IFFOqJMEd5Ycb1TzjgDvUrwZLJf6Nx9fHwIEJ7OznCLME9bqRNht6XBJJVVHiVRTE0b3C9SxmYdqsoMR+gvBZODtxOFsbCEQCpUoRN947FVuKl/TMmLviylKFHTJwA2+QkTnmm1sFSDl4c77lDG/Fyfy6+Xc/Nen5zUX4UgSzEyt5YhnsDV3gMJYcCRv7RFIASYCjFujm8x7/rSUOTE13PdhDIqIpM4nLTKMNg0BmpChaDg1PlVQVVD/o80pABP9WQVusINTPjGgp54GPW0qC4HOxYvnF/accf9JfFaviXzpaJ+4feDDHIQU4ABA1YmjUvU3mzu475sjy3MXzy9fe89unbCfHkbEJFo9K0EzJSEipyWSRscTGADJTzxRjbgOSe4lOk8T3G9g0wfoefBZVRRkFO2PZhkHiFHSSFgL/CknDaCV1JkYxkDPlEgTJoDZTSPgU+MwBgUKugrqW5a5A/suXnnfiRuLZe4mc/b0i+z0OOcABoKFgi/sfe27ll/7yNOeJNZuLHQ32Dc8+/RxVKiWmDT9dNCsNEjINLg3umnYrmIixad+QabwmLY11b6jc/Jx7/VlS/kXIuE5BYpTeE8gSRtG6rpmUisUJAESQU0jKZQjSlfqIheo5AypVgieaxJRpJ0i7bs6nncauf0bllSpZx+8rHA7oeFMAHADOWn4EHnvyherh8zpvy5K/Kk/li7dsfe1vtr26AzknmDvd9QJ/uZTx6niz42sqkBGXJgj3RZ6CVL2dUl6jO4DrJjdJP/WYAN1TwGtHtjHCz63fLnSCqxek+MuDbELzJBS+LuhuRcoPHzG6VAZnUJ0MkFRz3ksRVkr5klB1OVyPYLEqmprbkSt0fMPKzbvDZ9O3DfcVqw0tbw5wA28igAPA8mMXA0DphpvvXL906aKrmxoKzvT2+q9t27qV9w9XUKwERpCZPKW9GGEjnRTAJhnSdKeNN8bATfw5SqVWNbbRq6LbIT5qErkSz+E/DiJgpx1rfqcxv4OMsB0dKA2mp/g1MuQ5A0EyGfwzsmAOJekxjJYsVL0c2ju6/Lqmlqtap0y7und3j98247QDjon9HW+oH3xPx72//hXOOus8+anL/+equ+74RSaX5ceVy4PW+p2jGC0RHB4A2uKAzYM5yzkLpq5P+pfjRiXFgznq/SgJIJMtYwGQWl94qPdNXzfifm8gchmmuiNN45gllsc4bqxuAbE/lTGAX9OJFqgJtxMQxhgsLmBbAvlsBYyXsau/EzO7lleOOf6c78+Ye/xff+gv3iOXHH3hoYZN6nhDDf69HUNDQ/B9ApH824G+l0+8/rY72JNrrBOH+3utXIajPkfIOASbR83p9RfSyUOxL0sTM17Mm2IA2YyIRgleRtDG8IFzUstG+7ZY8/yabrfJ5UR7udA/bSSbhd4iWXMj15q+MnYNzGcgqtXU1c2MARaXsC2BbEagkK2Asyoamxq8Z7fS6lldfyGOXDRvtRC40rII+cK+N+Y52ONNDXBz3HTLPchk7Pq+gdH/s+aF7ku6t+5kOVZCIc9hW4rBSffuCKab0yBP+7s3C3vTLoo+NvC6mKCuBXkUwIlmc9DH6O0TApzSexPqXJvIDZqYrdkI3CCUSPq7UeQl1N8tcVNof7jnBz5vSIQAtyyBjF1F+2QgX9cusvXzfmU79ZcL3x3uWvJnhxoSezTeMgAHgLUvb0Z9Idv60oYdn/vPh55eQt7g+Rs2bIRjW8hkOCwWJBG5rkClKuGpZMykbNEj7AuSxvQTsThLLsejleY2otrmmya4OUVyIGqiGc+3id5PxsFteJL0/KSAKTvi3zH6x5HhtfB9QsUllKtB56pA+nmQ0kPntFmY0Zm9p23asrWZ/PQf+X5p96TWuYcaCns83lIA12Pbtm2or6+buXbdyz98ft3689euewHV8ggKeQecc/QPuRgc9qBn3+Bhd1etwwMviJAIIndSucOAuEaPAT2dxeOgjkLzUVdaiozglO6y6TIlmqcn3sDfzHdPD9HroaOWUWQy2M4o6MPN1bw+nCSEJPQPWegdDNrAZSwfra11mD1nAdo65t3TOW3eFeXyaHdb+9RD/dPv9XhLAhwAenb3wrbtrvWvbDqiVCx+bvPmDaf0vrYR9bl+rH5R4JUtQEMOcCzAsQm2FU0ERRTMluH5Eq4n4Yu4q43F2HosFtcMHT+vbp9s5qOM1z45PslVAtSJ9skU0+Lx/BIT9AAACfiC4HoMrhdEKaFeZ1mAYwk4tkDGFqgvuFi3ReChpy3MmzEJRy9diPnzux7K53M/mtI+6znf9zY0NBy8srKDOd5UbsK9GZNbWwBgg5RyA4C1nImO45YtuIl7T3U9++rTfHA0hwyX4IwFuS2MYFsEiweSwfMlPD8At+cH59TglWTUrNeU0xhFvBRtDfqKkHlY7HUyjUtonOUalo5Lk7SRlB7wgIoEqh7B84LXWlaQMyJ5oLMd20ddtoKScDFrwQr/rFOWbMja4uOLlxy3E8D6msm33mLjLQtwPdQPsH5kuH89wX+nqFSmfuyy4+90rMcannvp1ULZHUF9nsOyAoBnHA6LB7OHlaouiuXAKOWMwFWv/RhAtY9btVFgJCEYqWk6avU7EPm/gxYPtRGemM/bcEEmUxEiG8DMLIxLkeg6BA/OpUpQkxA2oVhhGBoN2NzmgCOCwodAtrlobLCB7BGj7znv5KEXtngXzeuas92xefdbHdjJa/22GFIKAMTKo8ONq57efELF9f9x26b13q5tG5oHBvrrLR7Ilbocw5RmHwPFAdy5KosMI+QzEhmLYFkI3Y6mpyE00kJ5QUrLEjiP6/DI+Iy2c06hlNE++zAb0kgmi82HydWcn9yY2UG5AbXPOrgJAl1tW4G/OmML5LMuLKuK21dlMTyYQXM9RyHHkM8Gj0nNk4YPWzSjb87cGZYv+Md49rDH6+vzg0JIwfkhSzI94OPt800AEDEQkXhx+2h/57TO+5onNcz/+xvvmvuhD7zvqpNOPG5dZ2fbmqamhvLklhzmTR/FvFkD2DXiYaQcuMn80NOgdLIq9pcAfCnhicD9aLogxxth/obhyaCaz1y7LenWY5qZ1YMH8wIoOyJgZ/1ZGJMqKOOiqWEAz3eP4KXuCnzpIJ+vLzc0TV4zf9GydaededFV69f+cm4m2zC/qaX9vrrca/1E9LYCN/A2kChpY9mCDiDIzSpu2dINy7Ku5Zxfu3DBQl5XV3dDIVOa32A/d/LWF8o84zggRihVPNicgRyu2DBgW18Zoq4bAJRzlbNHEpJF0DQreACENZChTJHmsbUGbPCaxL8FtGEZSA7bCgoNdIOdqsvg+xQyu7RUhausKtekg8WzMyhVuvwTTuh6pLOtbn2pVPwkSdd3nCzece71MlM3vXiof6+DOd6WADfHrFkzgYgUPen1Xw6enbR79+LvvfjgSmfq5F5/6qTsMofLo/v7elCpjCJnc2RsJ5AejKFY9bF7OJicNGMj8EYwivuWjUhqkHUXmaNEQc41hxnaN6p6EAFbAMF0IUyG5+ZMG4QSGcdDzhHYudvB4EiQacEZ4LoebO7Cqc+isbkNjiOeZlbfM599Xxt3Jl1Y5fbUr0pZ6p/e0XCof5I3dLytNPi+jJ/ftQoEOsX3KmePjIxc5FWLC7KWi+7ujSiVPHS2VlHye/FvjxL8cgHtTUDWITg2IWOTWmawOANTjO77Ar4I5AknArcINifYFofjBC5LR01woOfD8ZXcACJAZx2JbEYi6whkHIFcxkdzfRGDxQH8v4fykH4rFszOQ4Kja+5cdLbZqCs4L+dyhTuzWf47KfHQlBlnHepLfEjH257BJxqX/fmpAPDQrtf7HgLwsOd5c6ulAXH33btER0fL7OXLJn2F5LOoZjP4/aoiRoq7AUnwXIDyNnKOBYsHhRmcB4ZpSRCqrg+JwHOhWdtC4Eq0lL63LAmbB4xfLBMq1aAppmUFOt/iEox8QFThuRKwXdTVF9DjtmOUHBy/dBHaGwav3vVaz+YFhx3POtsnMcviGwHcl8m1HOpL+6YY/+0Brkf7lGYAuE+vjw7vBuOZpmrx1dXD/SM4bJ7tTpvS+vms5Z9lWxKe5+PRx59BwSmjudFGuSKRcRgaCxU882IJuwcEMhYhn2PIZRiqVUD4HDmHg7PAQOQkkc8EVejCF9i0PYf21hwsC6hUgTxJtLZmMXPOUSDiyDoCuay8v1f0XjdvrmMfdeQSLJzb8VCxVB2Y2jnlUF/CN+X4/wAfYxTqWwFgAMCvAWBz904AeEn4fhtjUpTKLp5d+woc+CjkHAgh4Hqee8api781apXOa+nx3JxDaCgw1OU5imWBrENob+XIOhKjZYaGvEBjnYeM42OwJO1hp/Xf/b5137Isxy5VA393IV9A5/TFADmwOBjn7LWjJ2PzKad0HupL9JYY/+01+IEcg6/fB87Q9n/vG2zs3e3JnE1oLDAU8hwjRR+OTeiczJGxJYZGGRoKAk11Hmzbw4hL9OzWWYOM5GsfvODkQ/1V3jbjvwBChsE6OwWJigAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMTo1ODo1NyswMDowMJDf5O0AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6NTg6NTcrMDA6MDDhglxRAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 72164125
{'hecke_orbit_code': 279223176930532159, 'n': 1, 'trace_an': 16}
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id: 72164126
{'hecke_orbit_code': 279223176930532159, 'n': 2, 'trace_an': 0}
-
id: 72164127
{'hecke_orbit_code': 279223176930532159, 'n': 3, 'trace_an': 0}
-
id: 72164128
{'hecke_orbit_code': 279223176930532159, 'n': 4, 'trace_an': 12}
-
id: 72164129
{'hecke_orbit_code': 279223176930532159, 'n': 5, 'trace_an': 0}
-
id: 72164130
{'hecke_orbit_code': 279223176930532159, 'n': 6, 'trace_an': 0}
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id: 72164131
{'hecke_orbit_code': 279223176930532159, 'n': 7, 'trace_an': 0}
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id: 72164132
{'hecke_orbit_code': 279223176930532159, 'n': 8, 'trace_an': 0}
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id: 72164133
{'hecke_orbit_code': 279223176930532159, 'n': 9, 'trace_an': 0}
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id: 72164134
{'hecke_orbit_code': 279223176930532159, 'n': 10, 'trace_an': 0}
-
id: 72164135
{'hecke_orbit_code': 279223176930532159, 'n': 11, 'trace_an': 0}
-
id: 72164136
{'hecke_orbit_code': 279223176930532159, 'n': 12, 'trace_an': 0}
-
id: 72164137
{'hecke_orbit_code': 279223176930532159, 'n': 13, 'trace_an': 0}
-
id: 72164138
{'hecke_orbit_code': 279223176930532159, 'n': 14, 'trace_an': 0}
-
id: 72164139
{'hecke_orbit_code': 279223176930532159, 'n': 15, 'trace_an': 0}
-
id: 72164140
{'hecke_orbit_code': 279223176930532159, 'n': 16, 'trace_an': 44}
-
id: 72164141
{'hecke_orbit_code': 279223176930532159, 'n': 17, 'trace_an': 0}
-
id: 72164142
{'hecke_orbit_code': 279223176930532159, 'n': 18, 'trace_an': 0}
-
id: 72164143
{'hecke_orbit_code': 279223176930532159, 'n': 19, 'trace_an': 0}
-
id: 72164144
{'hecke_orbit_code': 279223176930532159, 'n': 20, 'trace_an': 0}
-
id: 72164145
{'hecke_orbit_code': 279223176930532159, 'n': 21, 'trace_an': 0}
-
id: 72164146
{'hecke_orbit_code': 279223176930532159, 'n': 22, 'trace_an': 0}
-
id: 72164147
{'hecke_orbit_code': 279223176930532159, 'n': 23, 'trace_an': 0}
-
id: 72164148
{'hecke_orbit_code': 279223176930532159, 'n': 24, 'trace_an': 0}
-
id: 72164149
{'hecke_orbit_code': 279223176930532159, 'n': 25, 'trace_an': 0}
-
id: 72164150
{'hecke_orbit_code': 279223176930532159, 'n': 26, 'trace_an': 0}
-
id: 72164151
{'hecke_orbit_code': 279223176930532159, 'n': 27, 'trace_an': 0}
-
id: 72164152
{'hecke_orbit_code': 279223176930532159, 'n': 28, 'trace_an': 0}
-
id: 72164153
{'hecke_orbit_code': 279223176930532159, 'n': 29, 'trace_an': 0}
-
id: 72164154
{'hecke_orbit_code': 279223176930532159, 'n': 30, 'trace_an': 0}
-
id: 72164155
{'hecke_orbit_code': 279223176930532159, 'n': 31, 'trace_an': -16}
-
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