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{'Nk2': 6728, 'analytic_conductor': 13.43083761997936, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [29, 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': [1682, 1, [843], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -1, -2, 1]], [5, [-1, 6, -5, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189372562, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1682.2.a.n', 'level': 1682, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '58.2.d.a', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(2+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1682.2.a', 'trace_display': [3, 2, 5, 1], 'trace_hash': 1024962065807183846, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.087', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.538', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.114', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.338', 'prec': 17}, {'__RealLiteral__': 0, 'data': '298.502', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [3, 3, 2, 3, 5, 2, 1, 3, -3, 5, 3, 2, 2, 1, 1, 3, 5, -3, 10, 5, 10, 3, 0, 2, -2, 2, -1, 1, 0, 1, 5, 3, -12, 5, -3, -3, 3, 10, -8, 5, 6, 10, 21, 3, -5, 0, 2, 2, -2, -2, 15, 2, 24, -1, 12, 1, 9, 0, -19, 1, 2, 5, 13, 3, 1, -12, -33, 5, -7, -3, 1, -3, 8, 3, -13, 10, -27, -8, -14, 5, -1, 6, -14, 10, -1, 21, 0, 3, 25, -5, -18, 0, 1, 2, 26, 2, 4, -2, -24, -2, -24, 15, -11, 2, 19, 24, 1, -1, 17, 12, -19, 1, -26, 9, -14, 0, -23, -19, 25, 1, 12, 2, -10, 5, -12, 13, 3, 3, 28, 1, 13, -12, 8, -33, 10, 5, 18, -7, -7, -3, -1, 1, 30, -3, 0, 8, 8, 3, -12, -13, -19, 10, 9, -27, -8, -8, 4, -14, 2, 5, -14, -1, 41, 6, -27, -14, -24, 10, -5, -1, 4, 21, 21, 0, -24, 3, -1, 25, -14, -5, -25, -18, 13, 0, 12, 1, -30, 2, -19, 26, -14, 2, 33, 4, -18, -2, 13, -24, 1, -2, -22, -24, 0, 15, 31, -11, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [15, 19, 22, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [14, 15, 15, 15], 'ALdims_old': [27, 33, 27, 33], 'Nk2': 6728, 'analytic_conductor': 13.43083761997936, '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': [1682, 1, [843], [1]], 'conrey_index': 1, 'cusp_dim': 188, 'dim': 68, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33556114, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 6, 6, 8, 8], 'label': '1682.2.a', 'level': 1682, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 247, 'mf_new_dim': 68, 'num_forms': 22, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 435, 'trace_bound': 5, 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mf_twists_nf • Show schema
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id: 788372
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '58.2.d.a', 'target_level': 58, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 788373
{'conductor': 116, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '464.2.u.b', 'target_level': 464, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '116.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 788374
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '522.2.k.c', 'target_level': 522, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 788375
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1682.2.a.m', 'target_level': 1682, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 788376
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1682.2.a.n', 'target_level': 1682, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 788377
{'conductor': 29, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1682.2.a.n', 'source_level': 1682, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1682.2.b.g', 'target_level': 1682, 'twist_class_label': '58.2.d.a', 'twist_class_level': 58, 'twisting_char_label': '29.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2128750
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 58546795189372562, 'p': 2}
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id: 2128751
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 3}
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id: 2128752
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 5}
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id: 2128753
{'charpoly_factorization': [[[1, -9, -1, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 7}
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id: 2128754
{'charpoly_factorization': [[[27, -18, -3, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 11}
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id: 2128755
{'charpoly_factorization': [[[29, -15, -2, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 13}
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id: 2128756
{'charpoly_factorization': [[[41, -8, -5, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 17}
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id: 2128757
{'charpoly_factorization': [[[41, 17, -10, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 19}
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id: 2128758
{'charpoly_factorization': [[[-91, -49, 0, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 23}
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id: 2128759
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 58546795189372562, 'p': 29}
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id: 2128760
{'charpoly_factorization': [[[-43, -36, -5, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 31}
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id: 2128761
{'charpoly_factorization': [[[139, -46, -3, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 37}
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id: 2128762
{'charpoly_factorization': [[[-1, -37, -6, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 41}
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id: 2128763
{'charpoly_factorization': [[[-203, 126, -21, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 43}
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id: 2128764
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 47}
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id: 2128765
{'charpoly_factorization': [[[-337, 171, -24, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 53}
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id: 2128766
{'charpoly_factorization': [[[169, 104, 19, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 59}
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id: 2128767
{'charpoly_factorization': [[[-13, -99, -2, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 61}
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id: 2128768
{'charpoly_factorization': [[[11, 1], 3]], 'hecke_orbit_code': 58546795189372562, 'p': 67}
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id: 2128769
{'charpoly_factorization': [[[-251, -86, -1, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 71}
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id: 2128770
{'charpoly_factorization': [[[491, -65, -8, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 73}
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id: 2128771
{'charpoly_factorization': [[[56, 56, 14, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 79}
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id: 2128772
{'charpoly_factorization': [[[-889, -49, 14, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 83}
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id: 2128773
{'charpoly_factorization': [[[-503, 199, -25, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 89}
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id: 2128774
{'charpoly_factorization': [[[-104, -60, -4, 1], 1]], 'hecke_orbit_code': 58546795189372562, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1682.2.a.n', 'level': 1682, 'portrait': 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LcxxleGWAviNGCxLekPfQJPIIxmdlKzbiJlqR3S7gsGic9yT7BxQrPY0hw7q6j4ARunYetsxIaZAetnhmycGbJ1g2H7RsUl23yqqs7hY03ueyrgkX0JTxyNSVWH19/U4s03Gqpqhn1HJzl8yuPkXMqZhZhj84b9C4ZrLp/nV39gmW3rJjg5N8XccpWFFZ+FltXnrW5KdyDZc3iRp463Ltl34MQLj548e97RU/Nfev7L3xzdfeunvt2Q+JZu39EMvrjUZnkwJPTUb3794f03/uq7Pya/50VHb/y3bzvmrbTXs7gyzfxynfnlCvPLHgsrgsWVlKVWzGIr5fQKHFoUrF+3wq/90CLX7q5x/Ow0p+bqnFrwOLtoOLOQcGI+Za6TMDk94AVXdLn+YghklVCFnF2qcHrB48ySoDeEJNFUAk29kjI1kaCBo2cS2l3YscGnXh1ijAAR0O1rtm8csrjigbFSZKULwwQMhqVWxJb1Pp2+QiiD0EOaFZ/tmwas9ARHT3mk2mOmKWlUBKEPSSLoDSVnliSnFw1nlxPCcAB+wvMv7XLjZYLZZpXF5SbHz4acWoCzCwlnlxJOLsHBRcPzLl3gP/7QMpsmmxw7M83ZxSrzKwELK5KF5ZSldsxiK2GhBafbkqNtTby8yB/+Ypz88OuCe8J1P6FV5Yp7UPEvJVEdP/zOzY5+xzL4e97/SV78gqt517/9xd/407+6/d/84Ye+suvA8ZXzDp/syhsuH3LeRkOc+Git0FqijUQjAYm9bg2eNIQKTi5WeeCA5IoLlrh424BaBXxPEviKIPCoVyU1X9Lr+uw9UuG2RwKOzg1pJzF7jw/ZMLPEG16wzBW7Ojzv4hZHFhIWeoJaOODQKUOrXefy8yUrg5Q9RxSNmsfTR+HCzYZBlDJIAzwvZqoBzx4PUV6KLxM8H/pDybUX9+j3JFfsSmn3U46earBzo6Jei1gZGtZP9ljutvn47fDY4ZQnDg/YsXmRKy9qMzUd8drnd/juFxku2NggjSc5fHKCgyd8jp/RnJiLOTGXcnBOcGwl5jm75/mPP9Rh4+Qkx89Mc3apxoID91IrZaUT0+qkrHQNyz3J2b6k14244bJFfvYtc3KiEp/Xa+3bORgk1wn/kmpYnf7Ks499ij/8k499uyGz5u07ksH/5AOfZPf5m9QjTxz6D4eOnv3l+x4/pk4uxbRSSW8Yc9X5c/zeTy9w9a4qZxenWFyps9iqsNQKWGx5LHdguZWy3E5Y6lgmOr4s8KoDbrhsie95UcTO9XVWuk3mlqrMLwVuabYSYbmjafc17aGhN0iYacZs36ABQegbTsz5CBmyY71i52bD5vU9zi4PeXx/g+deaKhVl3nqwDSNekQU+cxMafoDuGT7gI/cPslF2xKGQ8O6CUmc9mlUQp4+MqDq17lqd8IThyLOLgZsmQnZuQm2b4xQKubEAgS+QQjDjg0JUw1Jpx/S7fm0ez5LbcXSCiy2NEutlIVWypkWLA5Stm/p8j0vXuCGiz0qfpPTC00WlissrHgstQXLLc1KJ2apk7LcMSx24HRHMdeKuf7i0/zXf7HIxdtCOr0avUFAbzCFCS5Kg8rm3/DrF/x6MjiZXv687/52Q2fV7TsK4Hv37aVaqVRPnjyx/c57nnz7voOn/vPegydJtKIbCVoDycJQsNyNeN6us/zuTy/xnPOrzC1ZkC93QpZaAUttj+U2rHQ0K52ElU7CUttwtiU41TUgurz5phavvVZz/qYKUVRjuVVhpRvQ6iiWu4JOTzAYGqLEkKagpCH0oRoaJpuG9dMxnj/g4OmIJw+E6KTOq6+L8PwVHt4zwXmb4IsPJNx0echcq0/FUyRpzPQUJLGP5ycsLtZ4wdVtvnhvg52b4KH9Q3xqvOpaTSL6PHkw5fCJCp4M2DDlMVUXVENBEAiUgERDFBsGEXR6hpWuptPTrPQ0i11DP03ZsbXHa69v8eYbI9ANFlcmmFuqstjy7XFqwUonpdVNWOmkLHc1y13BqY5ivp1wze6z/M5Pz3HFeSFLrQk6/Qrdfki379PrC8L6VlS45d/Xpi776y1bNh+LhoP+rgsv+nZDKb99xwD8zMl9bFg/Gzy778CPPrPnwHvuvPsRcXa+K4cx1rseGLpDQXsgmB9I5rsR1144x2+/c4nn7gpZWJlkYaXBcjtkpROw3PFY6QhWOoZ2N2Wlk9Dqapa7hrmO4HRLMzXZ4xXP6/D8ixN2bFA0qz7tToXQl4AiSiRaC7SB3gAQmqnGgP0nDdpE3PpQnWGvyq4tATdc0SPWK9z5yCRXXeiz/0yX1nKT66/o8ZWHQzZMG/YcNfzLN7XZcyRkw7TktkcUN1yiWOq1OXR8mqt2R9z5ZJ9kWOP5lwZcsG1AP+ny5YcVpIKDJzyaNQ9PQK8v0UaQakOcAFLjBZpW11BvxGzbNOTGS3q84rkJM/UKZ5cmWFypsty2x2a5LWh1odVJaHUTWt2UVs+w1JWc7ggWOgnXXzzHb7xznuecH7LYmqDdrebg7g58egNFry/oxTW9cetlZuv2C35mx85dH1xeXIiuvPw7A+TfEQBP0lgmcf8NB5/63K7llvmde+971J9fEbR7ml4/oTfQ9IYFyFsDwcJAcqaV8PyL5/itdy5w9S6flfYE8ysNWp0KK52Ala5Hq6No9aDTNbR7Ce1uSrevafUM813BfBfidMiVF/bZOJ3S7Rlec/2Q8zZqklTiSUMUwx2PVzg2V2HTVMJTByuga1y8VXH1RZqw0uPh/T3mF+pcdl6d5uQy9z7hc82FFRZ7KywvN9m40fDAHsX3v7TLg3s8tq73Wei2WF6a5upLetz7VMp0dZLLdnWZa7V44JlJql6d511k2L19ALLL44cF66djzs7H3Pm4zyBWSAmpNpy3KeIV10d0uorNU5qrL4QoqrHUqrHUClnp+rR7ilZX0u5Cu5fS7qZ0eintnmalB0t9wcmWoDUYcsPuef7TO5d53u6AucVJWg7cnZ5Pb+DRHSi6fUm7J1lup5xdHHLFlc+Lh6n/Cz/+g2880GxUPx8Evv52Y+vbnsmMhl3SqP9DZ44/8HuLc3unz5xt0ah5xKkCIZASpEyRUiOlRimDkuBJjRIeD+7fwLve7/OmG5d4x0uX2Lk54sxikzCoUg0DaqFPverRqUoafZ+JukdvkNLtp2wYavpDQ2cQsjRf4cRxQ5RoTp5JCEMDCAJl8KSg11cIfJKex3POE1yw2bB9S49h2uGWBxXPHpjilc8NufqSZT58iyEQNc7b0uOJexVbJhXrmj0qqkoU+8x1oF7x2LpB8NizEVfvrvKiqxb40M19Ar/By68z+GGPrz4Q8cX76zxzuMr5m2uctylldipi57qYy89LUUrjKQMYamHI7GRIFPt0egFP7ffpDjx6fUV3IOn2sQTRs5+900/p9g3tvmGlD/M9xZllTb3Z4mdfM88/u2HIlTtrnJ5vWnD3AjoDn27f/c6+oNOXdPqGbk8Tx/CVOx70GxMzv3fb1zYtvfIl1/18u937ULNZ+z8X4EZ3QPDjZ4/e+ZunD9023Wt3UbJCJTTUEkOqJUIIpBBImZaAbVDS4EtDqCRPHFjHo/tr7D81x5tu7HLjpQMmG02WWjXq7QrNfkC359FxJ7s/8OgNPQZDwyDSRLEhjg1Jau9REmA0SCXwPUElEEw2BFMN2LhOs3VDj3VTLb70MNz1qI/UE7zyuT7PubjD3c/ERIMmNzxH0Or3mVus8/zdmnWTPapeyCBRzLdjlBY8Z7dHrTHkkb0VXnj1BNdf2eGRvQrMBM+9NODHXr/EVx6LuO3BOnuOVdg+q9g4XWWqUWOiAdUQfM9e8NrAnsOCNBXEiSBKYBhjP+MwpT/UDIbarYaabh/aQ5jvSuY6MNR9XnbVEm+4scX3vVyTJE3OLNRp9yp0+wGdvmfBPZDughH0+oZuP6U3TIkSQ5IYjhw9w/s/8qXpVk//17d814u8heX++9dNVf/PA/jDzyzy8LPmx6bVF37TrHxpvS8jqpUqqdFUkpQkFRgtEQgECilASVBK5MzlK4OvNFVPsNCr8rHbt/LVR9vcdPkKP/CyFS7f2WVmssbiSo1OP6TX9x2wlb1HgmEsiRNBktil3tZu2aDS86ASQK2qmW7EbFnfI6HL/pMxH7+zwqHjdSbDKtdc6vH8K9o8sK/Frfc1ue7CCts39fjI7QIlQpqNmJXuEG1ACZht9mh3AnRS5Q03zfGxL9a44GyF117XI4oXufPJGeK0wrWXrue117S5cFuLrz7S44njNR4/HLB1WjLdFNRCQeDbi1AKEMKgDWhtiBN3scaGYWwv5EEE/Qg6A8HyULDUAeENuOqiFX7gFSvcdGnKTLPCSrvOSqdKtx84ve3R63t0B5LeQNAbCnoDQ3+Q0huk9AeaQWSIUzDS5+jpNu/+i6+sN2H0m+986zXGmBN/LsTWf/oAX2wbKiGi6guzcvwLP3xqfu53Ot171k2GfSrhJEmakKSSJJWkWjuwSSdVFFIJlEzxpMCTGt/TBJ4h8A1VX7A8UCyuTPHXX6tz/1NdbrhyhR94+QpXXdBiJq2SJCG9QYVu36c/9IhiRZxkf0+gjUBgkMIQBppaJSEMIgJ/yMnFITc/JDlwIuDwiSmUDrlgU8AlOxXPvbiNCud58mCDLZM1LjsfNs4us9RucvkWSaINX3owZNiTTNYTXnXtgM/fGXPsTIOLdvmcXhnw9CGfbRumuHLnPHc/0eHepwXDKODindNcvC3k4q0dDp5e4sBJePDZGvsP1al5gtCT1ENDxQcpXQbA2Is1SSFKIEpFHqC3Y4h0gjYDnndhmx94RZubLk/ZNB0wGDZZbFXp9EJ6/cACe6DoDRT9gaA3kPSHtm+0P0wLgEeGQWQYxDCIYag9jpxe4X1//cX1J06c+B2dbkze+e9v//B333Qfr3/dL/7TBThmCCa86dGnH/3zzsk/nL5868F1oiIYDOvEaUwYKFIHNqNBGPv2hJQoKVBS4SmB56V4nsD3BYGnCXxDxTfUgpTJiqAz9FluT/Gpu5rc/viADVM93v7iFhdvGzDod7lsp2HbRsUw9klTRaolJgO31PheytGzhsNnBCt9zefurnFyYQoT+UxVFJtnPHZs9Dh/C1x2QRstF3jv5+ssLU1w3cUel13Q4quPC0Tis35KUq8l9OIAaSQYifICWgPB2SXBpabGi5/b4Z5HqmxeF3DdZdP889cv8MEvdnhwb53uwGdxpcHOzVUu2tTj2t0d3vLCDqeWlvjc3SGLvZCjp31OngzwlUBKu+ppY0g1xNqQJpqpmZgrLu0xHMZcvG3IW188ZP2EYroREscVTs9X6PUDekO7yvUHyt4jy9r9oWAwxK4Ew5T+MGXgYpj+UNOPYBAL+rGgnwpiPB56ssdTz9yz7ntfM/Put758Q/y6137wo//6v/xP3v3vfuifHsB/7jf+nJkJIR647092zi/s3z3o7KG6K0XrCkmaEPgxaeqyklpY9hYghEJKk4Pb96R7tEAMPEHgayq+oRobapFhopIyVRX0IkknqnP4RJ3f/ug06ASRJDz3ih47N0YkCWijMcYmcaQQSCXw/IC9xwL2HKhQr3g0Asm6mmB2RrJ+2mPzrGLHppSLdqyQikX+4NNNjh6b5LrdPhefl9JPOtz3ZMhk1WdmwjDZiKhVrRTSWtIaKJa6hsVWSqtb5QWXrfDQnh7PHlNMNitce+kk73zDIn/0GXjkQJ1u37DS8Ti71GTjuhrrpwbsmBnw/76tR7PW4onDsPe4xPcNShmE0ICx/xlIEjhvY8oNlyeksU+chBhTYxD5nFkI6A/tijaIVC7f+pFgMBQMIsvaw8hq+WGkndzRDIaGfqQtq0cW3L1Y0EkEidYYbegnfU6ceHLyqw9e9r6nj/2r5Pd/6dQnfuNHf880t/z8Px2A33LLX/HqV65Xk5W/fPP/+OjR9y7OPYnv1Tl/S4vLzosItUJrhcmA7cAtBUhhkMrDk+C72mhPCZtm9yXDSBNGKcPYUI01w1gTRYZmAsNYM0wgSgSDWDJMQ+K0wrMH6jz+LKTGYKFttbEvIVC25qMRwmWboFmFibpkqqGYmfRYPw3bNw7ZNLtCbJb4g09PcPDQBFefrzh/q+SCrct87emEs4sTPHenZKqpqQR9QhlilCBJJcIYkjRiuVvh7KLP1RdXec7uDnc/UmHDlKBWaXD1bs3PvnmRd39G8/TJBitdzUpHMb/ssW6yzlSzylRzgmYtZrYes+PqiNBP8L0EpVKksMGEwV5UcayYm/eIE0WcKKJYMYzdYyQZxpJhJBlEkmEkbIAaCYaRYRjZ4zoc2uNsQW4TTP3YgrsXCTqRYCUWdBONiYcQDbj8/B4/9eYeafpAbdeO4Yf3PHKJ/pPP3vTpv/7ER9O3v+37/vED/MDTf8hEc0U9+eipt04GSx/6yM1nKsZsgGSI1pL/9FMrXLatn2vH7CakQbq7UgZPKjxPuRoSYU+CLxgGiii2QI9jQ5Sk1hVJSvcUktSQpppUY/W2Jge3cAGsJ8H3IfQElVBQCyX1mmKiJpmaEKyfTtixsUejvsKn74m488lpVhaaXLFdsWOTz4XbBqRihS89WKPue8xOKRq1AU8ehGcOeVy+zdAbKq68MOaKCwxnTqfMLwf0BzVefU2Hrz/RZ/9JRb0qCYMml5+v+fUfXuSOp/t8/o51LLYNO9anLLc8JpuKibpPo+ZTrxoqoSYMNKGX4injbFV7LI3BJqy0INGSJBUkiSBOJFEiiGPJMLbOSxQLotgQRTCMU6KcNLQFd2ws6GMYRMZKkljQiQXLsaAdG3Q0QMY9rtzZ5td/col/9sKIJPbp9fdUPnnP1F/MzDz8I0+cnfrkf/yjD6e/+i9/+B83wP/gb2alEsPvDc3hP3n46b0Vo6ZBVUBJ/vZuRRQp3vqSDm9/WZ+JhqHbMwhpUEqjpMaTKb7n24DS1wx8RRBLIl8yDARRLOzJiRVxAlEsrYOQFLZfkmrS1LoLqTHFKgHWhpSgpMDzBIEnCANJJZTUq4JmzTDZ0GyYHjI71SExK3zi65IPfnGG9ZUKV2wXbN/kc95mzY5Ny3z6PsPSUoWLNyqmmtCoxZw9IplbDgl2wjAWzE5IJidh/2HDcltzZqHChedVeOlzO9x8V4WZBoRBgJKTXH6B4CdeO4cv5/jbu6d45mSFDe2Y9ZMJE3VFo6qoVSXV0CMMIPTB84wFuVsFc5BjL+xUQ5oKkhQHdIhTQ5RAHKeWFGJN5B6HsfW5h7FhmDhwxyLX3O1Y0IoF3VijBwMmKh3e/pol3v7SDq9+Xkq/XyFOPHxP0/AfqFy5vf++6y7d5dWq/l/96r/kHzQZ9A8K8N9/72dJUv3DX7zr0O/e9chyc2A2IUOJNoDwQQV86QGf+56qcHp5iX/5lj6TzYRwmNDupRbgysePNb7nEXiKwPcYxpLIMbdlHGGZyLFSkkCcQppaJ0FrG3BpbbIeTgduC3ClhNP1FiCVEGoVTaOaMNlImJ3ss25qhXuejfiLW6vsPTzJeRM+F2yErRsDtm6Ai7a36SVtHtjTpKp8ZqcUkw2YbAyZmkgIAg8h7MXVHwYstWNWeoZWN2FuOWD7xgbXXzzHrQ/22HuySS2M8VWAEBNcsEXxgy9f4HkXzfEXtzZ44KlJFrse65sJk7WEWkVSrShCXxD6Et8XeEqiFM4+tCg32B5WrcmBnqTarW6WFOJEk6QW3EkMUWKKe2xLfYdJWW9L2olh2E8wcY+Zeod/8d1L/Nvv69gEW7dGnPqkWjGM4DXXaobR3mZ/EPzBQD0vOLH/Ex/ceuHb/vEBfGGphVLyx3/vTz79myeOnpzZMOkzSAWxgVgLIq2ItYdWPiuRz+9+3GfPwRbf9cIuL7qqy8aZiHanSn8YEkQ+gR8Q+p5bNhVxrBgmkjiWRIldduPEedopzvrDMbe9qHJwZxpfOmmibMIk8A2VQFOtJDQqCVPNIZvWtTnb6vGez/l86aFplpbr7JoVbF8v2LI+YOt6wc7NA7xghY/d6XHoeJ3dGyRTDclEPUXKISfnDaEnkQKMEUSxx471bR4kpd1TLLcNZ5eq7N5a4S0vbvHJrwYcORviezFC+GhTJ04kz925zI53tPnSIz0+8qVpHj5SZ8uUYF09pV5JqQSC0BcEvsT3BJ7CJclEXpNhsBeZNlinJbWAz0GeWklnV0GIMmZPRAHuBDqJpBtDP0pJe0O2zrZ50dUrvPFFXV57TUogq7RWQpLUJ0k9Ui1JtaTVdTFAdHqmqbq/s/3i71XRoPX+oPIPU1P+DwLwpaUVgsD755/7wp2/+cijT62v+BpPCWqpINYZwAWDVDLUPgPp0YoDPva1Cnc80eXqizu84+U9Xnddm3UTQ3qDCv0oJvZ9osRjGHvEiUcc24MVp5IkkcSpIEkkaSpItSi0thbkqsRY5pYCm/Z3yaLA14RBSjVMaFSHrJvs0o/7fPVJw8e/NsEDT00yFfhcvsWwaVqyYSZg86xk64aI87cs88SRPp/7+iwTymN2QtCsC5q1mFYv5Yv3VWgEBiEssPpDjzfcMOQL99uamFZXM7fssXV9gzfd2OWBZzvs2R9QDxOUFBbkusYgslr/B1/aYvemOT52R5t7n5nk2HKVjU3BRMVQCzQVTxP44CmBkvZCtkwOWfmRdlJN62KFSxzQLUFAnAri1GVFU0E/EfQSQTeFYaRJooh6pcubXrXMO17e5uqLUjZOKQbDOu2uT5z6JIlHmiqSVFnSSSVJalff3sln1xvv7t/cfsELdb/X+kC19vcP8r9XgC8srnBqocswET/0mS/d9d8+/dmvzCwttaiF0jKEttIhcf5sNRVEGvqpoKcChr7PiXbIqftr3P9kj09e3uGtL+vxqhtWmJ4IiKKAYewTxYEFeGJdgSRRRYIoLQCujWNuXdSUCWFcUGmzoZ6nCfyUMIiphhGNap+UPl95RPLR2yd56vAEIg45b8qwadKwblIxOx2wcZ1k82zM9o1tjs93+NPP10mGVbZuFUw2PJp1aNZihB/R7teZbBiEsC5RnEimQ0WiEzpxQKeXstxWnJyvcun5DX7yu1b4nb8KOTpfx1OxuzA8kqTCIJJsnAl57q42V5zf5emjJ/n416rc+vAkp1pV6qGiEUDdNwSewVfgSZvOF2K0uk4DRtuLLtWC1ECSCneeBFHqgJ0KBin0E0OSxOg4YqbS59UvW+HtL2tz0+UJk1WPOKmx3A6IY8vacexZYGtFmkgX4EpHQpIoXiE+cOv6apj8t03bb0ji/uH/qZkmrE5+ZwK80+mzZV39jbfc/uAf/dUnb2t2Oy0qobSZNQWJNvgO4JYtINZQSaGaWqD3Vcgw8ZkbVPjbB+rc+XSPa2/r8K++u8sl2zusn1Q06x5RFBAlliHixDJEmgHcdfgYYyWByQNKkMIWbHlK43kJYZDgq4h2P2a+HfP7n65weG6KR/ZMYnTATFWwfp1h3YRgpqmYmfTZMCPZOJOwZbbHzOQyX3pU8/Azk1yxVTDVkDRqkmZNU69GCH9IGHp4tnbMHotU0h969AcxiRZ0+ppO17DU9jmz2OT5F3W5/tIVPnZbheqSwpOxBaTxSNKAKLY9nusmKzzvgi7P29XlwRed4ui85C9unWRupcaJxZBASeq+IMhkmLSBZ07kmVTBMnli7AqbaMEwhUECkTaQJpDESDVk81SfK87r8q/e0uGaS1KaVY8kqdPqBo54FHHiW2Ancoy57blJEpfMMzAYtDi679YZg/9H6zZdv5wkvc/9fWLy7w3gTz29lx3bN6rf/+OP7Hrsib3NZLDMZN1HQF4fkZosgjc5wC1bGMJUUE0NkRb0PEnfrzBMAxajKrc+3OSeZwbUwyE/8poW22YSdmzu8/zLOnjCtoghsiyowmjpGpBLzI1zZ4T1cg0JyISnD0seetbj5gcaPH2sQZTUaHiK2aphum6Yqhnrgzc9pic8ZiYFG6cTNs/22TS7zJ1PDXnvzevZNOkx24RmXdGsCxq1hGo45J59ikHk4dctqIwRRImk4imu2t3n/icnbeFTP2Wl7bOwEnJ2YYqffO1ZTiwscv9js/gSEDEaSBKPKPYZRpJu32OqUWGyWef63T1edEWPd7xknmePa77wQIUHnq2y71CdRHgMh4perFDCFrCNBp4uJ2A0iTYYrfFFykQQUSHm+qu77Nw0YOu6mB941ZBqIGlUPaKoSrtrGdsC2zJ2Rjj5qurKIRItSFObyMsALlD0BwO60d3NdXNzu666/h3qzMkD6cYtu75zAL7nmWfYumU2uO++B3809JLfHfYWWTfpW1hpF8wYUYrcM81nu2X8VJBoQ+C0X0UbolQwSAUDz2eQ+vR0lU4n5b99bAqTxGyYHXDp9gEzEwlvfWmf7esj4lg4vS2hxNw4/SmlRkjBp+6o8sTBOsLzOHqqxsmzNSpVxUQomKwbmhVNswKNqmCipmg2FFMNj5lJWDeZsGFmwJb1bVKzwqe+3qTfrXPhVkOzpmjUJI2qplFJ8P2IL91fYdiT+Ottt2gmUepVxauv7XPXo5ruUNLtp7R7HisdjzOLNS7Z2eCtN7V55OkaR5caKKmB2OllnzhVDGObmOkOPFrdgEa1Rr065JKtA667aMDxuRZHTq/g+SmPH/L45NdqCKUsuMfnDxoNaIwxJFHKjg0Jb39pn3XNlIt2GDbMQJr4DKMGSeqz3PZyQCdJGdS2vidj7CS1oE60cEwuHMBdbGQEWitWui1kaH73mace7k3O7vzgvn3PRrt3X/ydAfAzZ07QWlnYffzY8fc8+fjDcqKuXELFoFNDokUeyKTaOI3sGFyZvDAoY/XQXQQ1LYhTiLQgSiVDLYm0T6xhvtvka09oDCmffcCObMBod8+yeM4iEwIhFEJIpFIksYfUHr4naYSwc9ZQ9zW1UFMLoRYK6lVJo6po1jwmGpKpJsxMJMxODdk82yFlmd//mwp3P7meC2ZgqubYuyZpVBNq1Yh6rU+1WiNUEiWdBsfKgTj2GfQF/WFKZ6joDjSdvrYtc/WAE2cneMGlQ372bWf5vU96HFsJEUJjTIxObcN1FEsGQ59uX9Hoe9QrAbVqhVpYoxLGNKoRz70wIvBjrrkw4Qde1sNTSV5bL4QZFeVO0mktEUIS+goIGAw9FpdtsJg6KZikqnQv4p+kxNaZFLEgt3fL4oUJkKZW/8cJnLz/YXnRpeo9s0u9r8fR8Km/D2z+bwP8gbs/zcSkrB4+vP/NJ44eFDNTAcNIECUpSVJYT6ljawt04+SJcR/Sfi9xF0CSJSLc88RdFImGxNmMsZYkRpJqj1iHpM72Kt/yLKUATwiX7odK1VDxDBWVEvoQelAJDNVQUA0ktaqkVvEswOuCyYZmupkwMzlk/XSXzesXee/Nmo/cuoFtk4p1DU2zrmjUFPUa1KopjWrM6UXNwdMhlcCW30JW6ScYRB47N2o2rhvQHgT0B8axuGSl49GoVmjUJvmBl81x6PQZ3ve5LXjSw6BJdUqiDXHiMYwU/UjRH0p6FUlt4FENfaphSqtjY4zAT/G9FN9P8aRtlJDSpvOFu9vSFQFkrCpoaVdl6Sw+7TR0qsc0da6xRfFYAnYO6vy5C2bdY5zYqsduH+6+91Gx/bzWm7dtP+/gh/7iE/0f+cH/PY/8fxvgU02Cfvf0u+Le6XeFqi8n64qehwO5TY8niSHVWULB9hF6unhugU+J4R2oNbluL1YA+2907uWKPFAqa24o1bII2yjhSVwdOfhK4HvG+saeoBJKKoGkGiqqFUWjKmnUDBP1lMlGwnRzyLqpHts3LPLAviEfu2MzU5WQDQ1NsyYsuKuSekVTryQ0akMe2AuPP1tj16xxurdIm/eHimsuMly4vc+DT03SG9r66m7fcyD3qVWqVCuTfM8Ll3h83xz379kIRqF1aokgMSSxyetJ+kOP2sBQrSgqgSYMfMIgJfQ0npfiexpPaZcldqUQwoCww5IyWiiCc+GOr3CpflnYr2n2XLqsqAWvzsCdg5oc8Hn2NAO5S8hFsa1b7w817W5XRubUf9CiFjTqjd8Aom8bwJO4K5O4/2tP3P/hnx92TwTVSkhqrNGspMBLBHEsSJQhSQVezuTusQRynUkaB+C0lG3LM2/GoF0mLktWGFcwld3KEM9S1VlCR0mXsVTge7ZRIHDZvzBQVEJFNRTUqoJG1dCspUzUEyYbQ2Ym+myeXeb+vX1+7UMbOHZikvPXaSZr0Kwq6lVFvQL1Skq1EhP4A1oDWwXpK4OUxTtLnR6Nk4BmNaaXaHquzro3SOn0JK2qotYJqYQNztsY8+s/2uJXPyy5b88GDApttCWPNCFKNFGsGESKfiipDhWVQBIGhjBQhJ7G963f7ylXBqFcnY+TKUKYVQ262sUx2giMq2Wxjc4ir22xpCNzqWHrXShkSAnQ2Sqc5j67u0ATTRRr+kNNFMO+gycDVOMX3vXzr/Vbnd6/n2jU/s7p/L8zwE26AKb3G0tnv/hzUfdgJQgkQWqopBpj5EiNR5Jmy1UmVzR6Ddmic3YuQK9LyYjigONYpijQKsWTLgVfyJPsfShl7TLPtaL5niQM7ACgSmhHMlRDQ72iadRSmrWYiUbEdLPP5tkV7n+2x69+cB17j02zY9o6LI2qpF6Tlr2rhlolpVaJidOIv7ytgVQKXxqUKGxCbYTTrT4/+MplvvxwRCcK6TmAd/uKTlfRCj0qQUjoN7loW8J//rFFfuWDgnuf2oA20q2KmjixhWbDSDOs2HLXMBRUfEEY2Mxm4Jk8Y+spjXS9rVIY2yiRAbxIeTqQO6dFF2C352U0WExTUfjpabbSll6nFHFXnkxy7z0xeUFXlGhA8djTRyvv++s7/p8f+96Xi5Pz7V/aMtv8/xbg82cOA+b6U0cfqSZJjJKhW/JtvUeeLZRZ6jxbogrdrXXB6JmVmNmJWmdMbfIDaowZBfca7ysDeFaDkWXylBK2E8gTeV2570tbvxEIKqGdeVILU+pVC+5mPWKy2Wd2ssUDz/b4tQ9M8/TRdWydEszUS9Kk4lGv2PqVaiWhGkb4/pCTi1P4SqCkdrZcEWTagEyxacomT9pxhf7Q2CaCQUpnIKn2FJXAJ/Ar+N4EF29N+M//fJ5/9+dw/zPrnf7VxKkhTtKcCYehphJJBoHKJZjvg+9ZiWbrVAyexMkUV70pimOYExlWm5cJJRulUTxSYvPR5/lKnMnOtLgnqckBnskUW6MPw+GQO+56qHrT1Tuvl/LvvuPE3wngB5/5AoK49uB9XwlEmiCFBwI8pfE9+wZBOoAZ4lTguWXJyyNok3viGbC1yfoiTc7ao6A23xDcUKSkRd6RL3JpoqStJy/kCVR8CANNtWKohlY/16oxzVrEZL3PuqkWD+8f8Cvvn+LJo7NsnlTM1jUTVUGjIqlVFLWqoFqxF4dN9Ufcv0fQHQRUFO4isxo8a0KwzoFHvaJ4/mUdHni6SS8u2sF6fUUnVISBIvADp58nuWSb5rfeOccv/hncu2c9sZbELr6JkqIHcxhIwkBb9na1Kb67uO0dJ1MKGSddlnctkLv+CSdXyC/UcaDnkjLPeRQrdLoGwJPEXqBRXNjHGKgGEhmt8KlPfS74rte/tvbhj36h98Pf97p/eID3WgeoNrdOHnjy039a8TsvHCap65l0ne6ewaARgBSSWIJy4FapcIU9xdKlPZGzdapN7pvrHNAFk2dJibxbhdLJELagSEhKnfjCtbplJ9RWDPoeBD62EyhwBVZhStXJi0Z1yESjz1SjzWMHhvzK+6d4/Mh6Nk56zNY0E1WoVwT1qqJWVdRy9k6phAmN2oA7Hw9YaVWYmirS5BlYsiU9ThXrZxQve06XOx/Stosm0iWQSyq+pOJ7+F6A51WRUnPJNsNvvnOOX/wzw7171xNrj9hVANqyV8vkYSzz6sLAk3ieK8KSAuVlx4b8/WUXYSZVRFaVRpEQKoBepPmL4q0iXspXYz22UmdOWVq6l+r2MwNBCFu6e3ax/8Jn9h3+859+51t/6rl7jqxcecl5/7AA73dOMejN/2LU3fe9ypymEoZobXvfi98mEULbZS+VqMRYieC0mKfEWBBZ0nXuIGVsrddi7uJ/eUYu194yq6ArdHdWMegpbH2GZ/B921hcCTSVIKVaSahVYuqVIY3agOmJFo/sG/KuP1vHY4c2sH7SZ30tZaJmHLgde1ck1dCyfyVMqIURiR7SiUKEkvgZg+caPNOqrkAs9qkHA1suEFWYykA+SOkFlsHDQOJ7Hr6XbUBruPw8w+/81Fn+7Z9o7n12A7H2GKaCKNWOxQWVWBP6hsD1rnpe0fKn3Ipmj4/rys8eS4VZ5R1Mysd/NBYqycn8tSniqDLI3aqd5z5KFYxJ1pxSwsX+o4sE9cPfe8fdjx4cDuN/9w/K4L32UaqN7TsOPvaHV0S9E1QCSHRKmgqkkMXylkkEIVFSWwZNIVFFkmc1uCmBu4jgx+tJCqvbFKxdOin5cus6dPJBQZ4bM+GKkLLqwYqfOt0cU60MmWr2mKh3uH9Pwi+9dx2PHtrA7ITHbDVlomJoOHBXK9ZOzMBdDVMqQUKzHrHniOGOR+oEUuIr7YK4AinZ8h2nikR7vPi5MbvO73LwWJXZGq4dzPZA9gaOhT2F5/kot1IKYbhsB/zWTyzw7/5M8/WnZxnEVYapJErsXJkosfMUQ99YHe7hpI6tF5cqzVc4JUUJ4KIE8tIyWQ7oR4inJCO1ySsVM/bWWTa7ZAPndnBWtpHYx9jZh6kWJAa08Nh/6DRfvO2hK37v139ix979J45edOG3PoLiWwa4SU6AmjqvPX/H/5Dm7Bs92UIGASpNSKQkcfpNOMtJCll0ykhBogRepr1H0rWmxNwFqLMDli2JYzkcsqVzFbiFQarMFrRg8JRjbc8QeBrf14S+JgwSKkFCJYyoVYZMT/RY7vS46yn4rY9u5IkD61jnwD1ZNTSqgnpF5F65dV60Ze/AArwaDonSlEG/QkXZi0yK0tIPeSLFBpqe1fLekKFrASsArgmClMD38H2JpxRK+jnAEXDlTsFv/dQy/+2vEu59doZTrSaDumQyNTQSO20gdHc/l2jG2YWUAF4weP5+3Ztea76fcWyTnytXZ250mcUpmQflfIYpHBVduCqx+1ri7MQ4hVhLWssDDp1svfGjn7s/fdF1V/0/jz5z9sjVl274+wX4qRN7QNauk/0H3+ynj1Ct1EmS2M4rEaoEMgvuxCUSUtdoq/IULWhVArgR+UEps7b+huAeXSnsuIeMvY27sFwvpxsQ5HnZHJWsPNaCOwwcuKe7zC/3+c2/rPG5+2ZZ6E4xOyGZrThwV6zurrnAshpKaqFxDG61dyWMgIjbHwtYjgNmQkbqsRElJ8LY4xHFHs3Q46VX97h/b0QnDpmIte1ijzTB0NaqB54FuKcMSvoIaRM0GLh4m+T3/lWbL9zf5zc+sIETC1P0Jz0mA0Ej0dQSCGM7ejlQdqCRnwWaUuRBcPZYDtTLF+aIXMlZfLSJYlxalkE+ntvIk3mZL+7islhnteiuXFf73HLPAXZsn3nzzm3qL5dbgyN/rwx+drHH+unqhX/5ua/+6xMHHuBHXtHHDxT9QYBI/Dzdm414sA3DNvBMta3DSLUgVVkWTIz4qYX1lAWSRaTOOMBHgiBb/ipKLoB0tc/WBrPAtu6OGzPhpwR+QiWICYOYRrWP5/W48/GUP/9ik5vvXk+km6xvCtZVrCyxFmDmkyt3F465y+wd43lD7nlmkl7ksalmXMZwnMEzK00SJ4qKr7j+kj6JtgDvx4JB3uBrR675XmZxKgdEm320ykGwblLwvS/p0ghP8YEv9rnrmRnOxFV6FUkzMdQ9Y0HuuThEGReXGAdyRwxCuDgmGyRUsPhaALcPZtRGzIBelp6Zy2IMOmNuk9mHTpJkrO0aLYYpdFJBOwLfG7K++lWmzdeR5/TQ/g4AX5g7wcc/fRubN0xsvveBQy/6y5thsiL5/lf0bcnjCJsaEqFsWaq0XmuSGrTKrEFZ8kyzmoci8Crr7SKBM7pAWnCbkRVDiMLPzWSJHe+mc+b2la3FCP2YIIip+BG12oAg6PHRWz1++3+u5+D8NH5YYWNDMB2mNENDPYS667CvhjbbWXEJIVu/krqVwMqThXZKNwoIlCKQJg8ws4+RWW3aZI2/kijxqfoDNk72Wek16MfCjVuzsYLvp87mU87udEQyErjaysc33tTlmkvn+a2/GPCRL82ylNTphT51X9L0bA1O6EGgyJshvCzp41Y+mUuVIgHkbPxVcqWcaMskZZYcyh2WbIXOM9KOxUsNFllHUZwKV1wHvdR268fRkB989SLf/9IWxtz0q/XG8/Y8ce81TzY2/TPO37n9fw/gWmt+/PteeN5TTz/73jMn9rN+SjI7lbolLkF7dsuQMoOrVJIIiSyzt87sQFH4phmws5ay7NFgy13H3osgSys79pYlcLu0s2VwXWLu1IE8IfCsJAmDIaHf58jZhPd9oc5nvj7DobNTNGs+0xWYClMaoXGp9wzc0oFb5kmhitPeYWAvnGZ9yKfv8dh/tEpFCZsxzBwUCpQXK5bV4XHicfEOeP01Hf78lhm6NY9mbBjEhjBycYPSeJ50sxkpgdwvoc2SyPZ1kl/6/h5X7DzBn908zaEzEywlVXq+R10Jag7ogTT2wnEukyqRhByJaxjR5GvdChPArIqjxlncZqpLINcl3Z23M1qAR9qATphf0ax0fE4v9K6YPW/LJ7buePFrBv32N5Uq3xDgRicgFMcOPbY16uy54Edfc5wdW+bYsSEmSUM3zji1hetOpkgHcitPdF6gYxt/dQ7wvJBHW+gWmlucU3OXVwqZP5bmp+TjlTP2TvG9xHbueAlhOCTwhnTSiPd8IuADX9jIycVJtKoyPaGYDgwTgabmmLuWp++lq1Nx0sR55zm4A5u9HMYR+0+EdKOQqdC5OLmjRJ7oKSd7klQSxx7NusfOrREqHNCJGvQDQdXNIAmcvPKdRPEy1yOLfXKQZcGrYnaix0++scebX3yGD3yhzfs+NcNCv07fq1DxFDVPUFWGMDGWzaVxhoBjclGk8XOAY0adlXG8jAA9G1XBmBTFVX5mmU7XKqeLft1hCn0tGGrApCDhlgcmePKIYHO9zVte8fQFN6b+1ptufO6R/iClWjn3VlPfEODx4DheUJ+dmog/sZB+3b/s/CHTEwopA7S2c7s95VRg6gAuNUpLUqkKYGf9kaWCnQzgmSwpg3u1LMk8b1MCuCmC2hzc9oKzDJ7iqZTAj6kEEYEf0RpE3POE5KO3NvnU12cYpA2CIGAmEEwGmnpgqIWGWlCAuxJKwlASOmliE0POmXAAD3yb+Tx82nDXwzWi2Cesm1UBZr4qmkKmaS2JYoXve7zsmg4f+0qXvSfq9Ct23svQNwQJdnRGpFHKzmm0MkIWw30opF6qbf9jLfTYMNnn335Pj0u2D/nIrQ0e2jPBfL/OQAX4vkfFE1QlhNLZqJm9Ko3NJ4yzuDsPuVwpkZEpvY8RkK+6ixzoiYbUCNsul8LQwEDbXl2tdQ7wSIccOhvSqnl85G8f86963nM/cXJu+TnLK935vzODr3Q2ydNnH7/u1PHPTpw/fZRmHaRMwGiXhhdA6oIdk9uDWsoc6AXAizpjY+QIuHOQsxrcGcBzBskKg4TOyz2l1M4OTC3AVZrLEc+LaXVj7n5K8KFbmtz6yARLrQayWqFRVUz6hmagqfmGWmCoBjjWtsxdDSWVQFEJBJUAV6GnHbg1oW/1t/KG7DsBJ1sVm1hx+nY0cVKAwDJbVloqiSKPDU3Bhdv6PHksoRf7dkxDDEGEGxWdOomSJWpstrh8y1PnzoaMU1sf/vaX9XnVtct89dEOH/5Sk4f2NFns1GjJgG7gEShBIAWhxPZwSoMnTF6sllmwNrD/ZvZhweblC0+XmFsbx9xZH6iBobHATg0YrUEnYBILcgGYmJWh5mxnyN33/+3E9g2vu+6yi668xR3O/3WAn5k7EZ5d9P7kl9/Tq1+1M+Dffv8Su7YYoli6N21PlUCBMEij0alCG2nBbTIGlwVjl8BeliMFwDNQlwCeBzpFgb6VJXb6lX1MUTIlyNwMGTPfSbjzYY8v3t3gc3dNMNeuIyoV/IZP04MJ33byVH2c7IBqINxdupJTp7sDQZixdwZwLyEIEipBhDExtz8ScvR0lXXTAl9q50SIotG3hIKs/DR1kqI/9NmxQfCyq3t85r6IbuzTjwUV3xAklsWHsSmtUir3qxFyRKbYu8wbFWzW1KMaDnn7S/q84ppFPvv1Dl+4u8adTzSYa9Xoi4B+4OH5Ck8IfCnwpcQXxkktg0Q4yVUEnucEeQngOWu756lxrK0hNjahk92NyXL9DtgZwI2BJOK82T4//44VXnyFqa9riD9ZnDtxCdD/OwH8/scfZ36xxzN7eux7psmlu9r8m+/p4muJNrYmWQuFFhZkWkuMSEmN62rPuttzUGcDeOzz/ISsdXREyTGhrPG1ax7WCAdwz0sJvJhKJaY/TNl7Eo6cUnz8tglueajJ3HId/Ape06emJA3f0PA0Vd9Q9aHiW3BXfDuT0JaZytJduO8bB3KdgzzwbXvawVOaJw+H4PtumTelFP1oWjBjt8xJsW6KHed8+c4hl27t8uzJGv2KoJYIwtgwVDhrTzv2ztyUzIIstErus+fOlXLTB3wGkU+1OuSHXz3kDc9f4csPd/nrr9Q4cqrCsydrRCshSegx8DykktYNw/09rDZXmTwkC6BXB02mdG4zVyV1rJ1iwZyBXRtTajccB7eTKVjD/I03rvD9r+9Bf46F5Wcm12377u9b6Zg/n2ysHRycE+DdlRMiinr/+ou3/NG6H3rdSe55xnDXYwE//44OXiPBRJo0lmiRoqXCaPdoJMoUutt62hKNBXUhR0RJq60tS8gZu+iKl0Lb0Q8yJQztJNUkTTmzCLd9zePAiSp3PlDl5HKVg6fqEIaomkfFU9Q9Q93T1kXwDaFnB8eHPg7E2V26u3IAx2luB24/JfQte9sLK+LwPOw5UsOXo/bgqHYd84rzBgLX45j4XLqjz4Xrezx1KKGX+DRiwdCDwM0EVCWASykQUo4wOYw5FpkMKvVRxqnP0A9oViN+8JVDbrqizcnlNrc/GHDoeMiXH6lxarFC2vfR0iMOFEiVl18g7OUk8lIJcU4mL0uV3B/HTRlzCsCCOXss99a617GBSIOXctPVEYcOC+5+KuFs+9nJH/v+zs8GfvSBEjV+awA/dvBOIPnea3adqb/2+Yvcuc/w3/+8yR98osGVF8ZsmUrZtTMhMCk6Tt3JyobJZ5KkeF6+Z+A2GVWP6ZJsDlXB2tm0VLs8+2FKnBoOHRc8eUhx2wM1njoc8MzhKu1hyDAKwQ9QTZ9QCWoKap6mWvKBQy+r08jKZm1deOhkSRAogkC6C8AU2ttPbWbRtzq/EsQYHXF2STI0IZ4nCaTByxIlYxocCpCnpuh3TJ0fLvCYnY6QakA39ul5wjodcVEw5ik9koGUmUkNkK2SiHx8RpqVBbjeST9V+fiJ3jBg41TE9g0xzz1/SD/q8yOHWzx1JOC2+ys8ebjCoWMhceJhQkUqFQhJWv5w2epRnEDyQsSyJZY3hGfANnk3/wiwtXuMDR6aC3bGbJ5OuHJ3zHRT86vvnuD2Z9Yxs26FavglAu9/0UX57x/8MvfsW1Q37LxXVIIFTp6Fm79W4ZnDAY+/J2Sqqtm+LeHyiyJeee2Ql14dgzb4QUy1ll22ErSwLO9AnrN2CdxFUFn0BUqXgcTVXMSRoTewTH7khOSvbg3pxYrHnqlw4HjIQjdgmAbgBaB8VFMRSEFVQU0ZKgo7zky5wiNlWTvwhU16lMHtSwInS8IAwgDnmtiUuZ1ym7iMaEy1EjG3nHLbvQ1anZCpCbu9SlYykOFgFbtl5aa5FpcMh4p1M4pXPX/Alx/qc6xVp+9LK1M88BODH2eetc53oBNC2b2M8lknMv8b2nilv2GBHqSK1FMkviJOPeLYt1aqH1MPYm66POH6S4a86UUD9h2XPL7Hpx8pPnJbjcNnfBCSXt8jjaQr35QYr3QVCzEG8HKlXLnISCMSg9DGam+jqdY1fsUaFy+92uLrsosidmxNma5qhgPB618yYN9Cn8X+Cl9/7Gnxqz91qVo++elkasubvzWACwHLven3/PjvBlcuLk8TDZqcPCWIXIS+2DMcXgy494kKn7hNMzudYozh6t0xb3/5IO+Sn53UXHVZTL1ii3AKtl57SctcklZP8PgTHottSbUieWCPz+e/XmEQKwax4vSZAC08YuOjhQ+ehwg9PCkJlKAiDRUH7FAZQmVsDbjnPF+vYO4g68vMwa1cj6bI2TvwNUGQFWilOXsHQYxSEV97VPGZ+xqowLN224j+PjeDZ154mmaOh2Iw8HnDDX0+d0+bj9w+QTepUHc63M90eJxlHE3eLSREdiVlx1aWtH4J4Nn4NM8yue8pEs/DS1ILdJWilB2kP11NuOGihOdfFGPEkLe+pMcgtnv+/O3XQx7cE1ANBQttxeNPBbR70qmkMV90xEu04DYG6hXNVVdFrJtMbW9Aanj7y/tctTvGaJidSpmeNvhYN0prgfENP/qmLi+/LqLdXcQPzJXnbb/uPcaIn/yWGLzVbtFsNJt/9qHPXDRse2r/qVmSZAhymHuSoNHAUBvOrhjOrtgPse+o4fO3N+0HSA0TUynXXRnTqNr5KOfuw3EHxbkOK13FQ08GtFsS6SmGWjE0yjKT8LBzgT2QCiklvpQWzNIQSk0gLRACBYEqZvRZkBdjkn3PNgJkjcdlcFuGd2W1fsbgaemeEHoxxkScXAiIhhXCCUng0t7KVeWNZDGzjh6K9HoBcjuVK4p9phqKbesiAjGgn4T0E0HVs0MwsxqSLKGlZLm8VeZ/y/4NJxXdhl6WybUreiuNf0hSlzdQNkGmEtsCF1vL1ZMpUiVsXafdiqG5ZPuAyPSRnqbVEjz0pMdKT6Jkhu1RV6wMdoFVIfWK4forIyamtI0jDdSUwMvUliHv3k9MttoLhJFsmw3o1KrMt6pqbpGLdl/xz5q9XqddqzW+McDn5hdZWm79zsnjR16SDrpUfI8OmXkpR99yNqrJfS3B0Mo0lzS0V+D018zaeqy8XOQAcCdHCHS25QLSAlpIG+hIO5TGEwJfOIaWLu3sgJ0/qtKj5zrpFW7rPXJw27YuuyVKGAgCj7zE1DK4Y3FPE7jsqO/HhGHM8QXNX3y5Dl6AL0URYObyZI3a6pJPnA0JtWCzg3Wi2OcHXtXns3f2eeZsg27qU0vsprS2RMIUnTgqywmUgr3smOY12rJU4JXddV4L43kKP7Vg9h3QlSySZkqlbp9SG+DbeCjFExphNLM1zeteoO3wJeHwkGWBRLmIvERm2de0xCQqh75OYJjPZyn9LIUZoXU2Ji6k3Y7prJx8yfTGU7+jdfovvimD333X15BSBjKZ4/wdEQeejF3tqgChSqAs//Hyux9djlLvXKxdWsbySh656lG4XcOyBmZfgC9MLgU8aV/b4ZJZU22pkMijNAclY+2iq74AuMxlSxiYvKUtCHRpcE6C79g78GKkjDh6RjDfriA8j1AyIk+kKF2/5AQ+Ih1GgJeNFk58ZppDdmzs8+yZIf3UY5BCmAr81OAnTocnWZGZLslfNXJ+ssSLnbRrSrUgmTTSeKkmVQLPs3/fc1lhK1fKuQY3MCj/m7p4HumRPEX+11eNozBjr2xMVnYaVpkPkF8oVt4LlEoRssu+E3UWVs7QHnwlMGsQ6CqAT1eOAoIXPKfF2151mvpHDX916zSJCsBF0K7U6ZyFN6OfJaNvRpaukQtEiKIs0z3PAOIJ8J33apMO1qHwsmxb6VGNgTwbEeEpWz1Xbji24Jb2MciAngWfDtxZ94+nc4nie1afBkFMQswX7qlydr6KP6EIMmkizaiDMvapKWnwYqhOkfQZDO0E29fe2OWeJwa0kwo9z6OaaCK3QmUFUSNZRqEpOodKeYaRYidl2VuTly972jWkpG7qrrsnUo0CXDn2zlwtB/A8s5yDuyipyHPTOehLB6GM6290K9XBCHdheX7ELV8z/OcPKXZtbnPxyUN8U4Cb1ifAq75g6fjt15j4BP2kS+gFCDfMB2GnuOaDG89ReSPWel3qncwe86rAUtJAQpEiFkXBknJf89yMkaJjJwM7+SiEMrDzOSgK24+4FsCzgDPT3V4mS4zT26O15IEfE/gRZ1qaRw5UwQvwnDzJ0vM5gzPK4hlrlZuoC1aVuScexz5X7xoyM9mntVyjlyhqCvzEfhaVGnuPywB3AMj/kMxre/KyCG0cmwu00qRa4GtBqiSpskyeKOmsSF3S+joPaqUsMbc0ObBzgGdMnhdnlR7LuMjkzLgSGOPDzDa2F5bI57jEqZ3neP+zCUMRXPPWN9/0gt/40xfc/cs/9cq1Ab7/5BApzeuOHW5f1WnN8bf31PjobVPEKgAR2MDO9V5mwMy4ojxuQDCKfVm2AEuMlgFaCFCMAkM6UBfPM+eA3GNWDuxe3qJWADt/nnevFMDOmm8tezvN7ZHr7cwStIxdgNvPqxNjBDE3fz3knqcayNAjkMLO384rCIty0yKlPZ7NXGs0miLViv7A5/mX9Xn9TR3ed3ODKA3pppJKahgmpYtalGSKdM3eIxfUuZgctCeLgUsO3KmSKKUto7ua/qzWR+X2p87b5qQrSRDCIKTOd4ouGJwc7HmYVSqeGyXFQobkVCCKf69dOYgyApX4vOMVEcP0JH/zlWUuuiC4an1j8XVTYXT3mgz+9P6TNCcbr/qTj9/6/R//nGDQ2caJlZK/7GofvAxswgK3DNgsfZu9yWKxNCNfK18g+b8TJgd7BuisLLYM6nK9slLkbO5lHfQZe5fA7rlumGyfzQzcdpzCGHO7ns3Atbf5XtZwkJTuMRExf317k9SEqDx7WQ4wi77GzNkY0eAZi+dToqSd65dmwaaHwOftL+3xl18YsqJj+mmFfirwE3IWl9IgE5HLBmsXjtceyZI1WSp80oLUcx3vyoHcMygt8FLL6Cq1zSsW1BKZjXyThSzJZMook1OweanMNgc6FGUY7jkjXyt+rtD2GmmK2qbAV/zwK2Ne/bxlEPuZ3nj596/b9pY73tE9+uWwvmMU4EkUMRwOdq0s9i/YewSMtx4jDcoTObDtvZAPVlaYEYAXb7gM8GKpGQf5SFE9WQMDq9hcitHy04yxs5mDKp9eVYBcqbFhNw7YdiNZUZqPYpnb97PGZOOYuwgwvRJ7h37EIwck+09VMMpHSUkgtbv4yytRcUDGXRRGNHjRAJElfdLU7pRwweaYS8/vct++KrEK6CeCigQ/NXiJcNLNLd2J0+FIBJrRPylKLC5K0ijrkywGMnlKkyoLdCWMkynSXkxpeXCnLMBdkio565bAPVowV5YtBagLti99P/89GeFZiZRqRZQEeEqzYUrQ66egowuSeLhLp8mXVzH48TPLLHcGDAZ9Zmr2O7Hb20YKg2JUOpTBOQrw0pVXli6rgF2qSBOjciVb1nMWLxfhZ6DOZ5+Qg1upEpOXxrR5So4AvDz8x3bbkwM7z1bmzJ0SeDaxY7uCYgwxn7y9xuJiFRF61ncvrSyralDK63DJIsxGZJTruHNvWivi2GPdtORtL+vwyIEmw7RCTwVUU6vFM7JREgfubK3QzhPPCnMdzYzp8XyiQakZOBumqbTBcyuE0tnqZFxzctFkUm46KVoIVz8flxs5JsSoXBnF0NjFIgwCe1Flv2+IdYiiYUqjNiCNz6KTorgwB/jv/NnfIqVkabFFI1QYUcy6KAN0nG3FmuBl9IoceT0qTXKAl6TKmiyeN8IW05jkGHuXJ8haFpcobxTggecGAPnZ1oEuw+kZ/DwVr93zdOTuKdu588xR+MStDYYyQEnlLMvRmSzjGczxwLtcUjqqw50WTxVJ6hGmHm975YAP3dLjiUNVYuXTk5Ig1c49Esi0fMwMQopSAEcOcjO2b9FIl40GLy/OcuOtpS0JUKnJh3WWxy7L3MnR3wDgBUBxsnYcvGVg56zNKPhHgJ4W3zNkCSyP7vIzxIMTNu1fBvj+gyfZdf7m2s/98h/vfGBpnoEyGLdp6Ugd1DfQ0CM6ay3AizV+x5juzk7SyGtRmlRVAlDO4moM4Gp0DqHKGNwleUbAnaXv/awxWduZIXmLWNbTmbh7jPIj9p/06EQBKFse4Jf1txj9vDnIyy5KSQ+bcS9cl4fMWy1e9wUXbRnwxP6IVIf0dUAltTXbntPgStjxZzaxlC3zOhOIJSYXRYbT1cN4+WBT+zXlGN0eT9tXK3MWFzl7FwAXJf2drbqjIOccUqX8eu0S6QxbxYVRlr9ZMihNYZBIav7WnZdc869rg87P9yqNrRbg+w6f4dR865Xr16/7xU7vSQJPjiQkyqDlXMy9JnuP/4xZ9e/G6zWK5V2MDYbMZEp5qKYbO5YDvOh2yVi7vIuxr7CuigO3BXAxFMgvy5MyeyvX1xlELHU0f/g3DRb7FURoa7+DzIfPYwQxelGf45Z3vGg3JmNEg1tHJUk8mjWPn3lLh68+0mRxGBBJj76UBK6HMnOXiq4bUXItdG7rGrQDt8Ygx5wV4RjcglhrF8Rrd4yVyV2r1QA3xepRAvk4o5clSvn1KLOfg7nHZExRwFU0qhvdp9GY+cXeylN3J3HvszmD337fM1TCkCf3HGMYpUzUJMb9grJ3PmIFlpZfOQ7uc4B51fNMmoywdmlkQVmmyGLe4KhUyVh8HODW5vKcJPFygGeaW+dBpe/pHNy+6+UsOvItuH0VEwQRH7/d5+mDVZA+UkrCrDRWFLtJ5HvEuw97zmrCEpuXp3tlMiXRtuUsSXwuv6DHG29q86FbKmgvpC8DQinypI+SglhkI5BXM7koM3kOitHeWK1AGbsqaCMsuDMLVkNanp8iM+eGkhZ3TC5H5UkZ8KO6GtZm8XN8r/Q4Kvey2KNP3D9Ad0mj06iQKJM1j2rVY6KqqAYWAKODLoslVpaXkBzMowHVucBcvBb5hy2zXVmelFlcCexYsYy5vyHAZQHwPNGTAdzYOdlOiviqcEv80nCgQnNb9vY9O7VquaX52681WGiFUHHuiSgCsHNJFMYbAkrVo6tsu1Kbn04zN8Vjqqn4rpf0+Nw9Axa7IZHy6KfS2ZPCuTdiJIYR5T/m2Dv7ks7ZnLzLysucFeWeS/da2n1OlbTPpRCkWcDpNH/O5iJrTMmm/Z4D4NKssbKX1UHZRXH/Lpe442n9LInlM4wrVNI6aWrDS++ZPfuZXTd93u13PvCz97VOM91QGIptQkbKAcosvoYsGT2p5delcWAj/1aUAjIxosNH2Lw0UiwbiVye/V3ucLHD3RkFd7azQcbcqsTcqxg8GzdRjJzwlM1cHj4i2He0giZESC9vzi2qB0cvzsLVKA7cuPQrMo1rbAuStZulHhiPi3dEXLBpwOKzVUwaWBZPnecvRueZiEyq5Ctt1lxQyE+ri8qdVqBlMeG3mF3odLm0LC5LbkoqMnAXj6I0lEjqgt1HmFubgizL3zsX6NdwWRg7dnFc5fDRFjuCiZ/dtvOax06fPHDE85QhTYYb6xVeZeIV6hXFMIZUFINbRjS1Q7osPV9bhojVX89ey1KQWgZ2BowR7W1fW+3tQF4CtGVw3CStsg9evrstrVUZ3CWQu/3qfeVY27G3cq89L0apmC/c12D/QhWCQp74peB3/HOOj4tYS6aMTvTKTlZpd7OsjDbyOH9dxGuf3+PBZ2qg7XbZfSnxUzfkMx2VSiIDT1HOSRZ42gE9ogg2s+fSPZduVZHZXVgW1yZfPfW4c6SzFUTk2lyUV5UyI48x+gjLly7O7OdzjT4WaOYWayoYxj4n5zpMbORVM/3hxv5AH/G01m60rZuuj8j/kMppew2GHgGuGNHha/38CIDHQCBc1i+fhyfKr7Nh9mX2dtWFyoE8lyhj4HbVhHmF4TiwvWJAUD7izdMO5ImVJyqmWou4b6/is1+r0x8EUPPwpMAXo9JkPMBk7HiNCcfV+nvMMiz74nHiMdHweNOLB9xyT48H9gaYuk8/DW2FZV6zM8aUogzuAuR5asXYTvb8AlNu63Vp9XgG8DRncXsu0txRAakZOX95/KTL5zwDsiguvFXsXTzPKzEpgtVCn6+Oa4w72FmZRvZ+vLmliGEacXox5sySraAzWXXsObW0KAF2PLhcyyEp3tCIVJGipLvFyEUw4qRkwHYXQ87eSrg54AW4s0ffM/m2gZ5XjFD2vKxibhTofs7W9q6ccxIEEXGUcsu9NZ45VgPfR0hFIMg3lyoHl0KOHbfx1Y9SgIkoBleWMpnaZIOSZO6Jp6lHFHlcsj3h1Td2efxIlWESkEqfvlYEKWPvJfPCGWNw+5jFV0aNe/IarQQqm1cjBUaBzC5GXeQftKQkT5z+1mJEZpbNgvLqXcaFHAF8hi9T/AzZANPxnys0u5KGSpCweTZidrJHPezh08N7/yf/kmooOXh8yOElxdZJYXfkKiUsCgkhihO4hg4fAXSJzfOirOxqPQeoRwBeaqjNmFy41/nQmzJrjwC8mJyaA9sB3c74MzlTe/lj8dx3waWnYsIg4qmjgi/fU6PXD6DuI4UYsQZVfqLHspir6FuUGCcT42Jsnt9YwqdUgBXFPo1GxKtvGPK5Owc8figEL2CoJYPUOSrabhmTs2B+Hiw4SMtgH11NPEUhXaRl82xVkY7JlbRgz4CeeeDZ6pVLNV3GDWt+fTV5FnJmBMhCWM3uvpaBPQuk7dAnW1Yxs6lNe/lvGZr2eZdd8YMPeddfdJzJusYkAfc91iBOBb4qBH3Ze17Lt/5mEmXEEx7/+ZJOlyWGzv5d+Ws2Yh/3wMkLrLIsm5cVXEkL6GxG+Cpwu7tfqn+29mBi765rJzEpN99d5a6nqlCxbXJBJk/EaHCZMXZ+LwN91a3E3qU2tqKx3DoqqZYjQB8OfF50eY/XvqDH00crJImPEYq+8PDTUiFcWpIDadlRWc3kxd+3W82YTHsb7V4LpBZWh5f9fmNliJIiB265Fn7EIdNrY+fcYCfPyGYjKnItb+zfN9iyESQIac9ro5pw6309rr/p6v8fcLf33s+vR0lBt6eZriWjhfSlVPiq5WYt4JaCy9zfLn2N8Q/NKKBFxtT5kldsJiVVKaNZzmbmzF2AO9vVwRsHtzI5oP0SqDPnxDom9lGpmMCPeeyI5BO3N4AApI8QyrbEZdZgSS+ulmTCQVmMASxzAEa7e4p9itw9ta17dgqtytP3xni8/aV9brt3wEMH7SSBWCt6aVHtKQVuXqTIFOqqNSSraEQxBnRQBncBWmArKVElO1MpB1pZsLkQVrdbTV6yK0ukZrX0KCGWVcEI4PXocc0woY1BuvcoVDZlwnYotTohr7zakHb/679++h5zwqvqEIlEyYhaNc5rNbxSCeoqq24VsMU5GDrTn2vsGjAC9vImSCWAl6zBVan6jLWFa8AdAbllbl+Oau4R1s4fs8ROocGVSvD9hDhNuOOBKk8eqILvg7TBZZCPMystwfn7X1uDj8sTU3qSl86WakRGqgtTiVbOUUk9hpHPZRcMeNF1lsX7qWXxoQgYaLtVY+5mpCbXtPZtFBeZya4yVgPcWGK0YNdgpNXm0tg8hDFFgCldhW4O9vKx0KP1RSOrdm4ZrrXKl4BNEbTmqsJJO9sZpBGJRApFq1uhWg3wvABtNN6GCctE/YGh3TF5Y67nFZZbGdhlsZ8tHaJ0ldqrMgsGiq395MiFsBrkmcbO5UkO8lKaXpZXlqKjJwe3zCY/UWLwErhVAe5cd7tZfyPyRNmqwf2nBR++pcEw9qHmO3lC3pqmMh1YysqRX9hjmmUtF6UE9JFBleVdhc1aWtyjHkp+6NU9br6rzt6T9uJLtaKXKltlmIp8niDCIFLH5OnYSpJBvRRwZhtLKWMDTCMM0lhwS2n1uTACpd10LePOkS6t8mZ0Rcu+XwDYMK4CcjyJspPiMKFdQklY9jYapMqOm8wv1CSFYVJFyACDRv3mb//+Bqm8/7rvwJGLPYmr0SiBfKSYKStFlSNp8TyLKMqbGpWSMEIgpXRMXNq/Usk88yjz3ylHLL+yxs71dannMg8oRwJJx9z517Jh+Ca3BnP3xEtLDQ2xe4xIZcSHPl/jL788CWEIqoJSHjVlqCrjxlGQNzj7pda4IpNaTkTJ4nhlQfGYzJKljGh20dphAlkNdtb8axBGs21jxMkFycNPBiRCglBo13TslRiwiHUzyVRaVcar6fKrTuTOyviVmV+UazC/zstxGYsvVo9QNro0hFWXcwJFt1O+6Ww+sJViKlo2RMqUm5dtdePOC56z8cKLb/yKd/jwkclWq/WaOI6YqPnWNx4rP82WlsL6ESNyZESqrGEDFTJGjDkooxIlv/pHalDKRUxmRJ5Ix9pZIVC+HYcqP2bMbUaDSS9d81GpGN+L2XdK8rGv1rDzVyx7W+1dgFOKkmzKGcg9jgWa+QtzDnDo0dqQ8kYBJstqGolOFalyWjz1+J6X9fjMHTX2nPBBRhghGaY+PRzbZcc4zYyDsoOSVRyJPMgcDz5VCXSyfM+CPZf40bqQLFk6P5cZ5QBzLb2tR523fHuWjNHzlcEgdZHdTt25KCYGuE1kGdDrdV8zP3di0jN6iCKmGtgy0mznLU+VdLAsJxDOpaNH9RXj+nqNC2G8DmU8kC124C0q5pQDupK4DGa2x0yxZaAqyZMc7I65VSZRsrkfLqj0ZGK1t0pIVcLn766zZ3+hvYWQ+ciKQpqUg25Kn300PhllzdHyh3IDcjHHpDwovuh81xnIXQo/ij0u2TXkDS/ocvBjIVGqQChSoRgIie9kisgD3dLzUj11FnBmb8IYgcpjApPr3QzcyuDKqQVaCAd4W6CVA9odFz0Wk4mSTFkdy2U/M55ncRq+pNUz0tNS2IaMfDt4QRJ7dLoGI1O8ybpkUJfUK3Y+X9EC5lLgI+4G5wQtrMXka2nu4mqVJQCPR8sqZ3OTgz2rXMsDy6wgP5/0ZFlcjYC7CCgzra3yuR8uwSNTuymqSvH9mEOnFX/86SYD6Vv2Fl6paz4LbkvFRaWThBA5yL/RbWSjrZIXrkvLcBFoymJuipIorUi1R5L6hGnCT7+5y9/cUePgKQ9kAiIlFoK+EKhS+j4vo80vOTP6hkpMXrB3AW5VugBzm1BmwBZIYyzghe0WyvImZaCv5bzlCTLWAPv4BeLIRTuw545aaZiR1h7tno9WAV5Wt5INxCmnvYuNQcsALyywrNZi1EURBcjd98e9cLnG83IyYHzPSwvwEoOXtaosHJQc5C6wzHdac2ydafEioCx2hPCU1d7tSPO+zzU5ORdaeSI8hJSFNVhyTcq9qWtapnkZ5zcBOoXuLBoPylstZsuwXBVwJonH1tkh73xjh9/6cEArtqOOjZEMtbK2YZqdM2cb5k0IhRwpIl9RvCdsq6IBZJnNM1Abk7soRri6JQHG1aBoF5zqUkC5lpumKZg9W/1WHdMx2ZtJ1jSzk1Pc6AurzbVbjbxBbIhSy0aBL/Og0roao1beuCUIa8uT8g65ayeGVoN8pIZBlL34MoObMYCbMSYvJEq+05osJXLGJzapBCXt3VMxXhjzqZtD3vvJJkPtO3miUEISCFY3Fa+Rli/HGyM1xWuBu4wrRjOaI4HWWHYzL6WVilR6VLyEn3xrl31HAz7weavFQZEiGAiJJ4xN/Dhdfi4mL0AtijeYSZVMkhiDyhItBoxwF6XT5FZKFMdGj5xvy/BrkkFOnKWvfQNWl+5FGSdJmjW2CALf7oLnVQJJNbBTXKthyenIlwYxpikLfT3yZkb099gbYW1QjwO8PCaiKKYvae61AF5ibpmxtnSaO9uYyis2qCpXCRaPNmu5tAx/89Uay0MHbmEBno+HE4U9ea7kzpp4Lr0u+8xle9DWaBfln0ZnLWXSbb+ox8BtpYrWHknqMRGkvPnlPT5zd43FjgIZg5HE2qeXL/GlxM9IsCkKHjeldH0eXNrCqiLzajW6zs5VCfBCWDbXpiQpRMHimT9ftKWVlECZIEusnmOKguWL8g9yIpbS7nMfSUl/qAiHCq9RU0QDj4mGTyX01mDpTFeasdelP1i6ssrP17rqVj83o/JEmDUlShnUq4CujANzSX+XdLYn01L2smBvTyXuMcavJdz8tQoPPFlFS598em0WXJaylsW9KPU810r1jUncSYRyyWy+rTmUW8rK7kqa76Lh2tpSD08nXH95xOuv7fEXXwhARWAn1xAJj76weQuZB5rjq4lwbD0aeBZa3DK3kcVKIx17Z6W12Xkss3mZxYu68JIHjmX1MuCL2m8xQqL510ZeF8c3A7vRsNIRSF/gTTUlJpHMTNhRxOVi/PGTUQB89A+MMvnawC+DeS39nXV+5EXzwlD0GpqSkzIK8mxXYyXXBrcqWYMy22LQ6W9PpihpB78fPCb58M0NznQCmwyQdkydJyh2bMjea1l6jXzG0oW/BnuvJVFyJmdUmoxkNcsbeGUyJWPxVKKlbWvbUE/54dd3ufvJkINnJQQxaIUWkqGwe+0UNTPjLD4qVzBYJ0Va8Bda3B53m8LPgk97vizQ7fkz46Ww0h6bQo+bXGYUVYEF0Mlfl0nCvT+x9mHN3KhomLLcSpCexmtWNToyTDWLuRhlw/1ct/KyMQ701Sw+6jQUwC6ncE1pudElsFuHpAg0zTkliloT3MWEVCVTp7stsKWyQzSHqeZPP97krkeqtretHFyKbPhnYVHK0sV6rmKhIqNZHK/ySTlnsoRRR6W8M11RRqtLAadCpppEeqjE40XPjfiJt7f5tT8NGCbSZqC0JBE+fWzSrVjq16gsLK8quJ6AcvDppIhNNgn32g2odzahHiOyLLNZHJ8sCLXYwK0u5eA3C4oLTI2+T1E6jkXsYvsaur2YVjclqKZ4tWpKEqXUq6lrcC0mHhUZolLtxBjKVwO8dAWuyXLjLG6KgzCuwYVL4mQzOMZYPH/udLdcA9xZKl7ldSa6cE9kgh8k3P6Qz2fuqjEc+lD1rPZ27B3m1uBocDmqwcUouEuAFuWVb4y+TfkkZce5DG5dFGLl7G2KjaukViij3aAe66hUawlvflGfW+/qc9tDClTsToYkwaM3omUz0IyCx2CHCpVXGVNia+My41K4hJADqzQG446HKZcwOCelWPXKNd32z+sRJWDyA1nIO7PGsSuXGds2yzQ19Aaa/lDTG2q8wVAyjOxJCHydjwzI9pPPAovyCflmjL5atqzB4JhSVrM8dqBgdJWxeUlvl/elX8Xc2fNSCawFclo8uoSOknZK7ErXcPPdNfaertgJnE57Z+yd7xEpSheduyDX0twjUu6bmeFkEqWkf804m48xeO6k6NwylEKRpilSesRDj90bY15/U5cH9gS0Ipd+1REGQSwUg8ziXaN8FqzmxgWVCsh3KBTOZSmxuTbFtoI6t5VNrsmzklcrTwrdPSrrSrIjJ80C5GsdtFFJZ0oj6OxnCDxBxZd4UWIPkhK2diOVJm981fnVkQFcfGuypdQ8CpmlU3y9AMhosmTUSSkmKOUNBflrs2rqaT7mNwd7MbTd85zedn63krb2RJPyP79Q5b2frmOE2xbFsbeCkjVYpObPKU9GJNpovLIWe5cfR2RKpr+1KWU0x8po86ymc1akJDUKpTVx6iOV5iff1OPAKZ/3fsYjTlxOW9jtHQdC2mwhWdA53rdZPqMlZhcFmytTSBKTHZss4BSZVLFfW7upeDW4i9VPrGbtHNujWV9dYu8sVZ9q3FxK8CbqMcrEtKspCGV1eGrTw6aUaMizbSNLxBjAx5ibVR/IHdC8HmENYOf2oB4DOmP6uyhAKoJMXQoyS8wtdAHurN4kiDlwRvKZO+p0u4GVJjLbD7JI7BTDRteY+11etcorVnaaxLk5PK9pKr0wlO+jWy/a4UCOzWWR4Szf01QipZ1p2KgnvOnFPW75epUDp12GTAtAoYVgiB3RmbNliclNVouSvw+X2cwSOg7sEuNAL6w1mFcROqkinds+IkvFyMo+ihd35NaYfVKQQVmWZPuNZsA26BR6Q02rm1LtamsTCi1o1BK3UagkkS7YdLOjVzP52MnJgtvxQDMH99g4gPEgM2NFWTyq0gAZuco9KdhbygzUxdbeGbjt14tsZSZRPJUwjDW33l/nq49WC2ni2FsKx96yHFgWQ29GY4giYytypJ97dV3NSKXjWfbGS2lxo0ZZ3Iwkf5xM0dLuOp3a3aeTocfLr4p4+fU9jn/RY6itSYiIQUOCZ6XKSLhWlisULoMoAk8pbeBZBroWJg9ejSgldzKvXFidnpNeTnZA/nVyNl9z/SjFgZnmzjCZYTXVtly2N4QUH2SA15jasWJ0/5ZGXf2zbj/NT1o2Trc8YndE9+TFOYy9KTPKbKJ482WAl5d6sUp7j04sLbS3LiSK1K6KUI85KEWtico97zTPWCqVIIOEOx8K+O0PTpBqz+5vIhyDi7XT8qODJMdswjUu6pGz9E1RPsbg+WpZSBLrP4923EupR2rGtXRgN3ZYUBBo3vWjHfae8LnzQYUOnDbMgk6jGDiUCsNIv6Zx4DM4q9AIZw+WgG6K0REmq9MuZSrz740AW+TjtHUJ1KuO21qHqEQAhXSzrJ06/R0lBkRIs9m85aILt6+oN75iXbfTnj+YavkTRicWZGsFUCPZu1KPZkmbFh03o21vRaKmlAnMgresjiQLJFXZ+iu6c4pqQV362tg2G6VdwSyDF7LEcwkdz0s4sST47Q9PcPejdddnGYCyLWlK2fnbFYnbuc3NVJGj99WzybPS4tFhRMq1e43OcimOS7lLKWvJKrtG2bEbdZlMfp4KonDzuWWJTIxh3UxC6GkeeMJnpV8qgXSXpnaDgHK3x5zjCs1jikKEmW8ExixeG5de5bijPFeQsnM3uorlblI25jlzTOz29SQaEm1IHMgbjQpnzy7+8AOPPL3Xi2IbZkgEvmc3K0xTQSIkIhXOr8wCHFuPm7U6reEajhyDETYvSxXptHh28tzPFlq8NNwxlyl6hMmLLTUygKertXe2/Z3LWCqVkAYpH/7cBJ+9vY6pZMxtfW9c1jLbrWE0a0m+j9Bq69MBJNe0qw9M+evjJ5qcncp795Se5zq47IWbXI+bMntrSSoUUmtSqZB9xZtfMuCZQ11+5/0+UZiMaCmDIMqFivuQGZOL4u+TJ33IW9aMdHrYBZqZPCmvypltmJ1366aU7cAx3IxhaVyijG/DkpakSercPyXsTh2p1ngzEwP7QU2ETiJS7REnyh0DiUjtG8qDTTF6gs5xPvNEQvZGZdb9zOgBGB3SOKa7xeh2GVm9iRRjAB+/O+0tZToiT6RK+eqDIR/8Qp1B6tmMZWljLSWx/ZYZs44PjsyKf/KTJfITU9bho8Hm+ClbfbQyOZLtEjbSZW9MLlHywqssdZ+NehPCavAM5NLWi2vtkQq7Q9yPvq7LvY+H3Pao3Ye0HCwYLYiK0LgAuSzVqAiByoLPbMVGuKaaAuhCZqCmBHBHbKYUZK4h6cS5DlOJTPN4UFsWTxy44xTi1G6WS1fQT+yx8TbPnkEIQZqm9PuG7qCKGAb5QRZI0uxUmLXZ55wsjimx3djE0PKVjhlL1bt5diXPW4w5J9nGSyO24EgwWTyXMkV5Cb2h4Df+fIJDJ0OMb5sDxtnbl8U2LavnDY4GSCP1OvlnX4OGvgHIzdjzcvHVCJOPBJ/inAGnFs5RERKZ2sAzjRTnb0749z+2wr2/ENAZOH1jYke5dk/7SItRJtcmW4MtiF3KHueSZGye2YJ5v2RGBiL/9Wtmtcedpm+mwcmlTEmiOIBHiaAXCRYHgvk4JfSHdtbLJ++bZRD77Fy/wI27z2DwSBJFLB0rOJ3sVqncSRk/OSOqrQzu3FlZC+zFhkWjwKakKfWIc1KWKyMMvia4LXP7XkySwh99qsGjz4YYKV1CJ5Mnlr1HKgbH5Uk5sBy/U/5cpS+uwrQZ+cJIAq2sV8edlDKQx4GdSRZjMKZI4Utp0/hCu9VPa66+OOZnvrvN//j4BFGaveuSHpeKoS698Rzk2CBXuwtNWhlQZnMjShlNB/QsRstk/UidUknCFhhZveaNEkA2BWw0R6ONBXkrEqxEPX7sVYobLw9pdTXe1gt+DOVN0l76Os8c/SCXbktodcjfTVkfG0O+U/M39MEZ8zjHnhfSZO3nOdgzvS1GXZR8U1JR2py0xNZSloGeoKopt90X8oFPNmj1XW+ecMyNKrS3KA3Oyf34UnDNuYC9mriLBf8co5PHvjZiFVLqrBljduv7upmBmcPi4qRUS4Qwlr213fJcO/swSTyalZgff2uHh58OuPU+BbUcme6XZyDP3pZNufu6SMkbadxQWtuqpqQpNLi7XGwrW5HRXOU65QAvZMkIZlYRw9jKNqYkMnD1IsHuzS2+/5+9lhuvu5ZOt4131QWCsCI4flQyf8xnuRsQJ4o0lYUNWgKwGfMqy2e1+LmygW/yD5QneUYsw1Fgj+/YNbIfY4m1R7R3Du6ioEo6Bpd+wrOHPf74E00OLPouo+c2s7XThPAy7S1ZoyR2NbhleXkdOXElMItzB5zjeB9hqTHmzs7kKGvbANMCzrK4yJJB0jJ6ocWdPy41aay5YDrhX7ytw5EzHvtPCoxXujqlAA1aSoa6tKV26bybLPjM/HBdjHIYaRZ3QM/Os86OkUsGla3BfGSLGDtE4wewRKxlbCppZ79P1zSBJzm72ODM3CSttsAbDKsEvs+RU9M88NB5vPo6m+gwukBsmYXLJ2aVLDFm5OocXYZGfWRKAdzI/oo5Y5Y3Gy22j7PMvTqpU4DbMbeI8cOEMy3Bb7y/yWdur2H8ogzW9lq6rKUoVQy6CzFj8SwoLsb4jjkoGVOXP7MYOzdjDL9WbU85v5DvrsFoFlm72SSMpO2lK1vNgG0coBRpap+n2iBSu0mrJzVvfkmf1lDyi7+nOLsiIHRiOZMlxkejiHRxcjM5Yn1xu/uDycnADQNymc3MSZFiLLDEIAwF2EdwUsK0GAX5uFQpH9fMjvaUoVmB6y+rcv5sFV/61IMAb7qpqNUrZ3Zv9b6c7N7wqrMLbeo1a7PYMtWyljYjy8cowE3pufvZksQpJ3vG91OUsti3ZVSL6xK4S3NBcpniwC0y1yTJHz0vJULz+XvqfOXBGiZP5Hilu0I5cI+z90hh2NjXyiBeO9A8BwOtdRun8IypxpIaMqtPkaXX5TS+Y/JshqDWwrkqCoFBS2PHZCcK5Wleee2AN7ygx19+URIlwhbdGOH2qnKBZwZyifsbbuXILEOX3c0+gtJF1aDBJXooHz/hAD+aol/lopg1no9gq/h3WTuj7wlC37DS28yR0+GXt+4Mz3QGfdTv/vd389xrr1tpddOVpVbyfctLi9Qqyk2XzSr6slptQ7njRuRXULmUdPRnip7KIlmTZyfVNyiDVaWak3K1oCyYvMzcMqszcan4VKZ87q4q/+nPJjh8Jiw1Mfig3CgIKQglVNwg+2y/G5vMKfagzB/zpmc7bSCfjZKN1pBu+q0cHXBUtAHKkUldeSeTZEwWZduRkB+rVfNicpIotgRZq/l5ZK/KjA01TDcTLtmVcPysYv9RD23GRHHO3NZFM5ksy1HmfiZL1qyxXI24QVCKJUoDf8rJnnKQzehFviplT3ZsbAl/JZBM1A0vuG4n521r/JuTJw7cf+21L7R79OjUkAqD0aWimEwq4A5Q6QCCHmWt0hVpP2L5gJpRFl8VWJa9ZpPLjxEtXmLtQn+nLugsOnWUcOwdpByfV3zg03X2Hgyh7izBUjoeIddk73xwZfkCHnGA3GkekW+jtleZnVadcjNK62stvfnc8Oz1GlZhJlfKNmEqrBaX5apDKRFGoY1GuCSQMJok0lx8QcyPvqXDg08FHJkrvWHp3ljG3o7JtSi5KdJOsdJkOyJnjkohW0YrCsdWPUoroSnVo5TYe0SmmAJjmYYv2vnc29WGKDIMBobB0P68B3Dd8y7BD6qcOKI5su8glSBxc0SKvchH9h8feZOrNwc6p0QRZT2+BtBlCeRCW+87swpz3Z0B24JbjbgnthVtqS159182uePRClRdMCnKvrdEuFXZz04IY6nwDOisPjGjkqUA7DmDozVBvPq1BasuWKt0L+aIizHAO2niWm1y8DuLV2vtstHKkY1CC00qDKJneMlVQ/7VD7T5z38+wXLWDVEW0s7INigSy23WtcHmC4wokj2WIERegJUdQ0150H2my538GFs4cslSkiYjnrlxf8u9F7BJHhFptBb4tc1s3HIJ3V6/APj69RuYmNp469mjt/72+nXyF4Xpo5RYzbAZoEd0dQHy8eQOlALK8r8dA3oZ2EWwqXMvvMzcVo+XgsrcFrSp+IE0/OmnG7z/kw06qds7cCSho3LtndmCkgLka6bh19Dc5bixzOojtuA3Afpomn6UvUeBX67vKIA9zuw5q2cOiwtCpbRTn4SQSGOsLheGNNE0/JifeGuHs0uSP/iLCfolDW4Z3NGkACMViQsSU2xsmu/lk+lxQ87guSfugKlF0fk0goeR4zj2fA1WF/nvtsyeahhGhka9wr7D87/9oz900a1Hj50qAD45vYnH7/rlXqjk4dnpmGg4IE390WLBstzIe+eKTvvxnY7JpM0a/xZYE9gjMiVP8mTsbWWIEHoVuKVMkDLBeIZn9gf81a012okqqgQzYDvBKzJpMmIJFs/VKq1bDjBLk6vKAWa+gn0rkWUJ5CUqL3zwMnMXboocA7bO2dvNBnR+uBA2nS+cfZh/TyvX9Ksc4A1JYmiECe94RY8v3xvy2D77O/JNksc2SzZCkuKGYkpBoB2T4/x5AQpLaNJkWc4C5CIHu31/ZQ+8bBeOW4fj/x6REbg96oMIjO+z98jS4e/+sf/c+5sP/EoBcIDpbd+F8qqcOfZlGDxAJWwSx7Ik6Fez7wiYV12RBXuL8d9BAe4sTZ89L+SQHnNRtJMtJXCLUmLH1zxxKOBnfnuKJ/dnqfiy5nZMjsi1txKskZIvxiqU2XpVkdUqBi+xQcZU3zLMR63BkYo7iqq8rFWrcFHGtj4p6XJtJFIbjHCDKd0yoF0ySAiJ0BKBQkSGKy+Mec8vrvAT/0Xw5AEBPiWZUgI5CpBoJJG2u/EF0mpxlzazm8hmx9IUelyU9HgmQQqmLvW15uAuQK9L56HM6gZbg9JPI974wp18zxteTKfXZxXAh3ojPnWWOtOooSQMrTTIfs04wEfAPAb6URYvafOSHZgzdlaHAg7UhTyxbJ6OglwW1qCUKVJYS7BjJH/y6RqPPR2SeiXNnQWXLrmTae9yp04eWI6XCY+BfJUeF6MgLvR4JjLLqP8mLG7G2Lysu3NGLxVmUdbj9hzZ5zIv0NJCIoxBZM8x9lFrC3Ch3Pc1KtVcfemQn35Tl3f9D49OgmWBMpMLR8sONpnDYgNQQeqOqyeyOSmuRoUidS8Y2zN1DPA5dkrBZ1m367GAFWw9Si3Q7N7ic8n503Q6YX4cc4Bv3RDg+eGBYNg8eObo9AVRNHCzLMbYtgTO/CorgbzwyAvve5y9i0SPPbNFgqfwv0UWaJbYe8Q5yYJKP6WnBR/4TJ1PfKXGUJUZu8TcDr2eKKfkVzc1jPreo6ljUZYn7jur3BMoq/BRnK9C9uqnBYMXk6RGZYpwwWQB6iyTKRyTC2OBXTC6ZXFhpKtNyYBty6cEBpEaQpHytpf32HPU4wOfrtONBfhjGSltHJvbSSkGSWIsuFOJ3ak5O7bu2pDZ1Fkzmr4XpWNYBJolqbIGoUiK7GhmAiiREvqTnFlad7DVbRxYahVvN194qo1tHNp395e7w5mP9JOtDCJbXDBizZWbDMa7Z85VulrumZRFwmaklrv072XGziLNdbcad09KyZxOLHj/Z+v8l/c1mVsIXPq9lNShALdknL3HgJ2RVPYoCmmSdaGsqkEZB/EqbXJuhJtzfLHsC4+CvpzdJN8JomD3rFal0Oq2X3N05ETRtFy6a0WSSDbOaH75x9v88zd1aYSJK7JOwZTuOnH3NO9GMMaWrkYGhgaGRhBpiEv3REOsBbEpXicma1jIviaItSBZdS9+Lqv7zi4UT6RcceE6zt/a/Mgtt339yxft2rKawQE6/RpS1b6QpP4blfKvUnI4WuQ0nlwo2X+jp7PksDAaWGaPEhs1jf7OjLlNrrez5zIPMG1AqVSKCOGzX6nym+9rcmbZt5maEWlSWITCsbe/BnuPZy2zjOpocDkG7PGvi3G2Ft+Evh1gx1i8mENjiu+7mpRsREI2hKfM4LJsISJG5EuuyY3JJYzRxgacFIyOhiQybJpM+eUfb7PYlnzk5gZUGNPh45ep5WqDyBlcCkiE3fNeCatsVEmTr9Lb2SErs3fO4LZKM098uUFDyrlKjTCgEsjHtm2ofaHV6Y+8uxGAP++6l/LYnf/P3RN18ZAyg6sECSBz2SBzELoGhjJoKdWnjAN+RM6socGz51K7giw9CmonVYp0vEYGcOCEx1/cXOf0vG97zFxX/FrSRJackyywLDtC472W4xxcBnoZu6OSZbVW/1ZuZcdkHDq5VMl/dnSGt8V5BmyTJ32EsGl7OwjTShbrchQSRmQgd1IFaRBakUSwaTbhB17X497HAw6e9CGgsA1XgbsAeQ50XEOwsN+xd7evU+6GmOKaESOwGT3u7t9JR0xa2rr0rIVNK49Di4OHfv1Pb7n7ix/+j+cGOMBTpzahjeSqrfOEKiZJfad/xwJAB9zySRy1Fc3Ymx21FleBW+jcGsz0t5UpmXtiXRMlU2QAB095/If3THL7wxUIJeUMpZUmDuTYwFJlAVDWsT8iUYoKuNWp7uIgl/C9xuvsLH2LqF4L6O5/q6bPlqzD/ILAJlDkmr64Y21Kbksp6Cw0uwW7cS6LMBJtLJvrgeFlzxvy6z/T4lfeM8GhUzhnC7P2OgAAL49JREFUJUOo2wUqA7fJvm7ssXejJFJEDnRhirY/O8qtND9Grz4WZTkoXfDqCeGGgNrXvciwbpPgx95SJ04NX/zw6O9ZBfAbr/9uhPSi43siBuylXi3GEiunkcclCiY3CnOWKZA9ahOWnZXC99ZjQNcUwaYDd2YL+nBkzuNX/2SCT9xaJRJuN6qMtRkPMkWe1PFE6QBn0X3OOwU+cys0pxFGJMm5bmVP/H8L5Gs9P2edRonRXZYxZ/ecscUIswtEbh8KlwAiY3EnWUih4qW8/ZV9Ug2/8kcTHJ3LEGNWv8G8GtxtfZY3NuOkS+n4un+RszlFZUD58+aH3xGMEnaUXuDOhSdhpq55yXO28/IXvjmK4xT4hW8M8G2bNuOFjV/ozF9xaX/hzEsEi3aIvNskVYoC4MUbKXa9yh5Xn/zVOjxn7bIGx4xIEylThExtnYkHR+c93vXuCT51W82CW62hu3Owi5y9FWYVWxea24yx9Rr2oBNg4wxfJH5GP/M3ijPHB5uunbbPjufYeGVGdXh5ZveIjTiuwcmAXtiIQtituoUGIbWTMjYJhDQkqcEn5R2v7uMp+KV3T3B0nmwi55guN6V7iTaMHNF2+WcTBaAzgK+6oseOTiJcwKkcwElZP1vn8gsv+NrMzM5fWFoerMLdKoD7lSanD/1te3ba29uJkxdKImW32YvxVFIwuLsy9diBJDu4Y+e3HIhKoS2zj8mUTGuLkv4WwroqwoNTyx6//EcTfOrWGlFW1ieygTbj3rfItXc+fs1puGzJ+5Za0fLXa0+qKmvwsnSB1b/HxY9rAr2cdh8Hfh585haLGAN2uft+TKaU5Eievjf2XWpdbE1l5QsuIaRszYcx6NTgoXnbK/okKfziuyc5vbQWyMeDCPfhhPsBIRzxlTlcFJ+zDGhjgLR0gOylYIQkER6pURgjSKWklfhpTHXv+z/65fY7v//V3xzg2Ykx6fLPVGvBdelQX10Jh9QqA3wvzuWD1oIosfvEmNLuXwZKQLcfQgidf5xySh7G2LukvW3Q6SxDZUg8wfs+W+UTt1SJZJZ2H2ftskyxJay+AA+zZo/lSJBZ4pi1AkUxdnzE2LkqCTRWXwarf8e3ejMlYixqUsyYZMnswvGRE2Ms7gAthHQVgYXDIkxWr2ItROGYWEgQqcHD8PbX9Nl72Oe3/7xhC6+U+1SZLl/F4O5YGLP6oGWt9yOgzjxO7QCeDT5JC9oXCuOF9PwKKpQEtfoTZxY7P7NxprHm8VsT4Bt3fheHn/6f6f+/vS+Pl6Mq037OObX1dveb5N6b5Ga9SUgCWSEhQNgCgoDLgMLI6DcqKi6Do58i4+eIzKeCjrsC34y7ow4CiizDJgKCBAjKlghZyc2e3Nyt+95eajnn+6PqVJ2q7k5uEiCAnt+vf91dfaq6lqfeet7nfc97wBYIQ9sFSot4odfD1r0ETPNHinS1eTh2RgUG88f7gfvAEsHOy3p1KrDlwRCSeEFSEjXQEyxjAtAI7n/Mwk33pVGRSdFQAF1FUQLrDal7o2qETs0IZY0XEu9hYhXi6ya8zUNvyno1LbNUUhR/J05RVAuOaukw8NrkUzfMUwnzVSgI80FOaRAxFCyYh55BcBcmF3jnWSU89aKG+1anIIgXpygCgcoSvPzUP0RmniJuMlSeqwI80Ng9FyniYP7sEjraXHieAGUUvXssbNjZCIM04Mwl3YI7Fe+yd7197AAHgPaJKyG84k07Nj/ac/2dxcy9T6Tw9BYLGgNcx8WsjiKu+eAgzjuxDE3m6sKXpKQNjFu9KLIZpyY8egcPo5iEcFBNgDCCO/9o4dPfasALW40ggUqlJpFaElnxODUJOTeq87tr0pMalyGJ3do4FoGgdRgtoZioy5F8egfgj9GVxI0BBEmAwTI/B4WHDmeohydBTkWwPHBCIb8zEI9j3jQbX//nPD7FgP95JAUwD7EayzwoHqNac0Kigwv1VaowGql3BtZbeAB3YHAb56wYwRc+mMeMCQIVm0FjBM9tKeKux4tYt3Mi/vHis2CZBv71E7VPa12AZxomi1vu/O9v7+s/6cPfunV1pmKb0DQCV3C41MW6Xgufv5HC0vtwxmIXhGshcENAJwEOKBZbqjDxsHxIVZgA0Qhu/4OFf/leAG49qXEngC1PZgBoLeZcimrLXYeexCKWSa4SLov7lUkKc0iWvIbTGeHa595RyF617Aiz+HwmEFEXqZiEVj52AxwoIEQQjGaAHOoWzMkHQIDawJxuB9d9NA8K4M5HUgDx4pZbAltKh6GjiUj/S45oDx9PvritcQ9nHl/EFz6Yx+xJDMXRNFxPh+1QzJksMLndw1532nBrU/a7mp4SqNPqAhwAOjuWwjDzmNP5IvYNFkEI4AiGgsMwojGs2+TikT8XsHLxSJhXEnMvgztZTalFaL15ZMkpVwDuD8+CRnD7Iz641202AENxKgmJ8+7QySShqqE6luq4QPl8CXVvoDY1UXCdpDHRdUkMNlbs/iHiO36TqGAXigFXnNTYYAgSWXb/NwKQeL5KTZ08tNgS2JEuLojPzSEC91Zadc5BbYF5Ux186aN5CAB3PZoCwCPaLQ9CUpSQqoi4s0mifY7f2n6Vg5MXlzFrOjDUl8NoOY2KbYB7wf7RRvTMnjeskx2/tFI9dc/tAZ+nS48ZV0lb+NDUaV2jjYaHCTkPE3MeJmY4UpShvUtg5WIbuvAdzRi8QwfOt9i+4yhH4sTVkpj1poBgBP/zmIWrvtOAdVsMX8RW586ucixVsAe8GzWsNw6smqj3ZTzPO3HP1muHwcFVcFcFM2OBnUClSkY9EwUsVSsNBNOfJC23qGHNBQ0ATP1ryWm4nIOACwbOWdCHQDjA/KkOrvtYHuesKMkEEUQ5K7z6BSWfBUFFTcETR+1f4zI0PPgnC7t36XBcC4PDWewfzGH/cAYjJQPZhq5R2yUfqmBy5UDn94AWfNOuPJ89a+qaD11M89/YtzmjUQ+EEIyWgKGyi9OXjGDhTMB1Lbief/tG1swHdox3SzVF0hQqwR/0owScEdz7uIVPfbMBL7ykK+AOggix0EwAdqpQE5LI846BWqUkiXGCqG3BVZDHrLYK/Do5J4djxdUFMcAnYiuhcgIRRg2T1EVOdx2z3FDlQxGF8dXfEakrPosU/oh6+LycAuDcA3UE5k518NUr8hAcuH+1BY/J3Fq5tzQ6R6HllspK8AwNhSfiR0cFAwfDn9c34r41HKcdq2NXXwNGShoggHQqg2nHnptvbp28plLZx3GAdkCAz5zcDqbp+3f1uheet2rhQ88987SuGxo4J1i+oIg3r9DA0IhiWURprLGoZA05EDxcJvv6x+yD+/dPGfjENxqwvlf3aQlRwUzqWO0ISgzRjMQx0CLxroKWAGFOuwJ2INknAdoaHHxszmhtUMcHOlR3EjXWi6w2QussI5yymGQYhJMBHhZ5HHFLDp+aBNSFyBosCG6CgE/LYBPnHMQWOKbbxTc+kcdHvwo8tMaCR+VRq2BXwU2U30h0DQkJDBYD0SgG3TS+dksDNm9laM1aQb16FwsXLnSG8vTC1gkt+5loPBCEDwxwTTewbds2TJkybaelO1tMvnFWvlABpQydbQaIaMJQoQjLqMDQHT9izgQolECOCuok/5bgpn4tj/ufMPHxrzVgQ6/MDDwAqFVwK8qJH7WMLDkNxoPGnMw6IFadw2gZiQM7SVlIHNwHRXUdhMcArZJuoiZVReCNTSeTlBjDTSkDI4g6UEIBNQmsuLqcxJ1OGkiL4H7ZCx78EUXggDoCPd0uvvupPK74GvDAExY8wgPHU9HDlTqIIf+OeeT+E5lQDWlG0KQLmC7Buk3AhBYbnHOYqQxWts7YMr6je+fOnTswceKkA57ig2pajDHolbt6p3X1XbZ8aQfGN5fRnPPrzRbLOsoVA46r+wEfxSWOy4AB34YX5nuH4NYJuEbwwJoA3Nt0CF0dWsPiVjy05tUWXGatSVDLPO5qGhIfP1qPfyczBkNLfuj4PeiPyc3GaoEo/etGQlEjGKhY9ci6k8Sy+O9qem0VRwdFkrMLQX0abQv0THLxzU/mcdrSMmgA/Ej6U4I3Ui1RebjcYUKhUYKMJpAzODKGfzDDIx527beRbZ+GtdtGL/vOzx/spfTgkqx2sA5dXV2oVEZgGJndpP+Pjzhi+8mjxQp0jcL1/Bp40qGR1lkOMSOKYxnRlOiKUoNgWz/D6mcMXH1jDht6VXCrgYFayklc81O5d1TyQYQgj/PoBGVBbFPV4EYC3InfajYydiUlCdTI5YzTEhkZhuCJ5DaEljyMaMasPAk7xLm4pDLBSHym/E6UMZ6qnBhYZBFQFyr3jgsQV2B2t4tv/+88Pn+jwBPPGNjWr/lZiOGdKZ1KadFl8wDBQtVGFlvSWFC1yhBobm7AWSuOeeSMU0/cPVosIZtJH/TcjikqYZpZPLHm8U1FJ/vtMpuD3j3+UP1YHrc6XlIOSiB+klQ01lIeFwE1CTbs1HDN93L4p+sasb5Xh9ClOU1aaYK68mBwoUMXNOFY+hY8OflsnI+HgEcc5CptTCyKW/lwHRLrd7it2rGMgzmkJiJ+A8T7kyiqjEBNQfhsjTI+pdWWIA6Bj8hCQ1FYAv4cs+Dh9A6AsAVmdbv4zqfz+NxHC5jZ5frDfFBDVRGeH7UMXw4gXHhCwOHRjU8IML5Z4G1vmoupk9LffuEvj28aC7iBMVhw2ZqapyCVzq2ZMcO+LaMNvdUSm2Aa/mSqhubA0G1kUhUwzQahPqj90KavHoVoIAA1gE07NVxzQw633m+h7FFfLUlw6jg1SXA4+TkAVxSxjEuCVVo2RDUFSeS1R4GeeI2TOGijBap1r+eE1gWzGEM/JRSftOwxOkIiUITTzEgrrVh1dXnNAcySg8e2JwNHNIiURolaIEElYsL9kUGuwPhWD5eeW4KpA1/4Xhabd2qAIQ82eHkIEsV58BIAI/AsilFqoOgSZFyBkZKL1vYZmDp1zm3Tps9c41YKY4Xt2AE+e2YHBvbv6l12wtIr1pFnWDlPz8+myshYZWQzRRjWKLbt5ah4AKEMAgxCAF2tHI1NHMLxrzjVgc07NFx9Qxa3/s5CWVB/tEhoLuPplfWdzAhgNHAsw+KZCO1XlXpS7UQqHLsO9YhWq4I4DnHBQVoE4BC/yg2gejhAJAmiaq0AlCTucEpq4Ec2STBCPT4aSHJ0EkZMaSyJiwdPBQoSTIUiFRYa8izCBXgFMDWBC88sAwK4+oYstuzU/EHMXAAuQWMTR1erFwZKKaEouWXs2OOizLMYpAY0QpBLp1Dm2Tt65iy9Yuu2XdumdneN+YyOGeAA0NLWif07H93WPW3B2qHdO863sAWNuRL2Dtv4+W0Wbv9DGsWCks/gciyca+NtZ5bx5pMrSBkCW3cxfP76LG6530IF1Nf0oIAYie+hFxiXA+Ull/neodVGnE/HqUgc9CFoVHArlKPKqVQd0wNgdCw4r+uAhs5hNXiTI32iQJBCKxBFNUXwJS4jKqYeSk4L8UEuCwaJYKBEWGVHJntBOpwipDk+F4/qSwSkCMIlSGkc7zirDBDgc9/JoncXg2UIvPl0G289o4RFc23f+AVPjsIIxR0Pp/CzBxqxZ7AJ20s65s/pxooTl6y9474ntl1w9rJDgeyhARwAMrkOMGvadZr39LQd2194508esHHzI13YtDWNgsP89EZuA9wBuItNuzU8tMbAjj2jWNTj4Pu3pXDz/aY/6ZFMt1StdhW/TjqUKuijHmoyVQzoyrs6LA3AAS12DKwqByeovZJKZw4onxwE3KT+77WWh3p3nW2oylYUEU1Kh/4yIukJIkcz5OaBfk0g16FBBQlfy45MB4Uysw+4R2AyjneuKkNw4Pu3pbCwx8WV/ziCtkYPBgSEx+B6GjxPA29lmHUJx5tPHMCtDxewetN0TJk++aZVpyy47vkXdxwqXA/PFyrt+y9Y7c3pJRc+fO/mrYWTXKFBZxSOAEouh+eWAbcE8ArgOMhQDxed4z+qfnGXBTv09JJJUjUkQBnBVPO9A5CHI+VpNDuaLAvhj730R8drBOG8nFHJY/VdWc4QljVmRJZFRjiHZfQ9KGoTzntJ4mWUw1f0G1OWxUoxx76rc4Yims6QCmgM8Vmfid8n/l2ZzygoXhpNyVg9v1E0k51SxUAZ9E3VfkqlA3UweJQB6kWJc0GkWloYQgkcSvBfd1kgguAd55SQph64TeE4BmzHQsW2UHEMcM6CEWQVCK3t0U/86jNn90zYWrz6Q+ceMlYP2YIDQGrcpbjtgWeKn/3Qxfa/X/8blIYHoGsCIxWCPSWKQW5AEBtwgQwTeM9bS/i3y0fw5F903P6oiYFhFifF9ZKvcYDfJSsmCddTlfsS71XKCantdKp3/sEsQOx/jqAlc/Hq9fE/BNSCKE6nYrljunbSusccThJNAQhElEQGYBROLq09ESS00ALSIZXUxH+XjieEh3CoHxUoDFPcdI+Fp/6io1gB3nPBKDKagLAZHNdAsZzC0EgGxbIBwENrSwaTZr3T/sHHh4uppkMHN3CYAAeAkxdOB+f8yb4LFi5/8olHU57rYusejmFbYBgEHueYMcHG+aeM4LPvHUFLjmPpPIGLTqvgP36jhd56jGOrFhzK8jp6XUg9EMmCSdDF1JMEMGspHjGHsi53Cb7WQ/WRol1pKgUJ+XWw/YhvI6IlVaqMMtqHVN9IUeahxL6SXw6EoJZaughObng2g/4Jtz747wD4RIATgl89aOJPaw0MjFB8/sYcyg7BBaeU0N3kBw5tV8f+oTS27ExB0zSc2HlCSUvPfZKQw8yxxxh18FqttSWHdEr77EVvWfnNVSdPKXd2uCjDnw7Dsx0sm13Ad68cwBc/WEBzmoNXBFotjvNXlpHN8SjxRs0zgcqvFW8vhpwE/yaI5Z6HSVSJz1UOovo9ybWV/0yOn05ewkT3l61VKySkqm4IYr/LD1L6Q5WzGttjac2BkGfHY/7yDCIG9qgPUf5fiX4iinjKbVAqMFIguONhC/0lv+pvf9HEZ29owceubcFT6wks04Ghe6Csgs07RjBsd5bHd5/6TSHMz+pGw2Gfx8O/NQBkMhm+a+sjV7e0NX9lf6XV7ssLCO7ihFmD+NJlQzh9EUBhwbFNeB4DiEBDloOFocUk947bXPV61IKR2lN1S6u2Ug/kCYTUAm3yaVAX3a8UytWPVdHOZFcSA3v8JonMfuhsxlYmoUUX4efot/ifRam7yYHEUVifgYdA94dVFkaCUfZUBzQTFZ7FvU+148r/bMNTGwGNeWjJlXHqsqw9fnzuK3fc8+DVppU6YLbgwdphUxTZfnafbadz7dcyOmofO7lyzfjmAj3/ZA/HTctgaIiCEA+GbsPQCHRRDnCcGCQcoyS1uHaCh6NaPZEtKfeFl4fUwKZSJ4wo69eiOPX5iLrBIz2bY92+iAFeAk3I7EGVpigmOAzeKOtLfg0odAVAPBEqutMi9h1pJSQYIBFq6GEOEgsyY4UfofcAIJjhTkuDMgMMBI9vyOALPy3hgsUaZnU38GPmTLmmu7vp6/n8iH2kp+yIAX7dZ96Be+69p0Rnzb7NHs1+Qas8jO7OFPb2pwAAaasCIQg05mG0RLH6WQOFsiyxppR4qGm5a5hLBWjqr77zKGosiy5LLaBX0ZPXRVOcyzo9VL4e59yIHE0ix28GMiGRzmZiPXkDBVuOLkHAy+HnlgtQhPO9BzkrHgDiCWQtDycc5+BPW4ASdFDNRKNB0WgIEGjYsi2HXxc4PvIPi0XBm3Tb6ufKpRNPejuOtB0xwAFgTs9kMHPcRreY+bA9UrjhodV/pIVCI5bO5mhrIjB0BwIEwzbBk8+bcMs6kNJjkl/8wilelBJoiF5xNEYKiW+Bagd5qjESu07JDR6sHYUbIqImPAzN1+0oSOR4yoUxzVw915EuogZ9VFMiEAbmq/bI/yTXl2F7mY/v+1tmhuOE+RX8/C6OUoVCpwQthsCEnMCiHhtDto1J3SfzcR0zP9w9bcbGl3r3vizn7Ig4uGzdU4+BjiG7e/qSH6zbTj/50p5J2NevIz9qwPVYcIo8/GmtjjUb0v5U2syIXrJAfXjikydQCdElTFYcwEqZuNjn2rKh+jdVqsoB21FDd5yahKeGIMZWaq2qJlchGQmV7yS2raqjDvP748uiP4mcTc794I3r6XA8HW7FxJKZLhbNK/kJePBnJ25IAw1pA6uOn4Alc+xPnnbKkh/0bu+zj5s/+2U5bS+LBQeA8Z0zsHHLHm/x4nduzqaeLfRueCBn6H3QNReWWcGeQQ9X3tCK7X05wLJ8HiaT4YWAP06PBO9KGlk4+lq9hBEPJ4pdS4bflbcqqy5/rOUzvlbZijjY70nJW1kproSIiIJIJzJYFt0pcVUlPphcHcwiwu5Rrrkcw+mvT4kGzhk6W8u47vJhrLsygx3DaZRdDaMlFyW3GfOPXVVYsOi4zXZxtzd/bv1BxIfaXhYLLlsqlcH4ptIdy05Y9JHTTjt5oGM8Q1NuGBW3hB/encGmfU0gVha6ZsFkGkyNgjGFj8tLESbDy0T5IN2ypvmOf6yletQOydeAy+FQlddaU1UPld0phxzJiFL5SFj+2BOilnqVLJrqRzelEfI4g+syOK4O2zFRti2UKmmMlrKY1KbjvecOocUoYO+wC1dvwAnLVw5Mn7nwI+s3jd5hWLUrVB1ue9ksOABM7MgBAJzK0M+6Z6zQKq1D1/Xvuqn9OzfZ+O7tnSA0i0aDIhVMEe4JggoHRlwCW0hrziMrLq8OB8I5MKpO9gEkQFUdUfrU6ler1ce3qP2rwCt3UxzmdmUAR/3uf5DRSeUPQssugzfJ/09WJZMDxoMD5wwcfvEn19PhuBo8z7fkhApUbANpS8M/vX0EOtuDWx9pxnkXnNF3zlknXVmqOD+bPXPiy37aXlaAy6abTRCi/0fp9lX0R3ft/vKP7nq2nbE02lMUGZ1DC54bridQcv1Im8sB7npAOUh+Z/ALC5IgrB/U6AiL6aM+tQjLOqvXRu1bx+lU3w+qCibB/EqCu85xjGn/FJ4tSIjTKJVWKeQpwR3pJTXOG1Er/3JQ4kI3/BJ7gmsolwkqDoHjaihXDNiOBo/7MjBjHiq2jmya4b3nFnHySZP7Js848aqBgvOjKR2HH8w5UHtFAO6fjFa87+rbf8DFZG/enNGv7ejd0dKcFrD0oPYd92eo1W3fehdKHlpyo5jTMwoIjl39GjbvMQA9iHoSSVkQSeNQXyJmlcPlyoKkohJTWuJ7X/MC12y1IoWHA/akz1BrX5Hgwur/qeKTAmA5JUokmoioa6idS/1bKiEEKndX/0iOaaXEg0Yd6KaLzbspdg5oIByY0WEjpVkYdjQUyybKFR2269dSoVTAMlyUKwwtbTMHVixp+DShv/gxMS47bJwdrLEj30T99vRDv8TbznvLc11tme0NKXKWWxo0Wxo0pE0CnQE6IzCYQNEGTL2Af33PPlx+4QjOP7WIY2dVsHErxd59WlADXFpzXzeXmYQaCeaaT2QJymRFGlTKik0oFbyg9IsNZSNRxaqqZWE/EltOg32Kfw5mgaAkmFJP7VO9PyS5jErlIrF/SkZDdRGjaBYyAn8bSPSJcuZFvG9Y/DRSTOS8pXKcrZwQjGkuDMvBM1s0XH1jM37820bc/VgOG/foWDzbhW3nsH8wi9GyjpGijvyojpGyAdsWaGyeUjAzUz5SGNZ/3jThfWOyI4fbXjELLlvaAs9lMzc1pDvdaZ3aT/IDOy2AYt+Ai7LN0ZhhSKVcrFjo4YJlaTTlGAyjjJldFWStYVx1A8Vzm4OZ0xRXSFq46vC8qLLMIf9OyoOyVVlc9XmO+hYyIdnHtneAVs+4H0ivJzU5sfI5ua6QG1RMsbKvMZUlZsGDfHEZZFPkRZV/64zj6Q0aPntDM+5f0wiXpAHNxLYC0Jgu4JS5KYwUU9CYr3vv7aco2x7mzZ5RhtH2ft1M3To66hxRGH4s7WVVUWq1T33sEoxv4l4m03Hrkvkdl568vKvs0BL2jwpYBkFTjuL4OWnMndSK/qEW7B9owHA+A7di4pwTHKxcVAKR5QUS11Qd1ABEAIkNJK4HbFIHUAivZwIQifB42E/E14k5dTWf81A2XRPsVWkGNdYeq5wZkw6TGVwi0qaSZSNiu53Yf0oEBDj+8GcLdz+RhWtYYJkUWht0dGY0rN/YhCeez2Ewz3w6krPheANw2bhy0Rt/aVdn963rX2Jez3GXjOEIjqy94gAHgHddchFWLhj0znvLOb/eMtDybptMKqZ1AccTMHWGbIrBdjQURk2UKiZsx4Bj6yCCwtKi6liqTZbWO1bUBzXAjRq8NhHSr9tq8Ot6F112PhRLHts5uUI9B7gK9GJMCI+0bvU7Ufg5UX6P1y2MpkmJl46QOnjFJYBggGbA1BiaDIHmlAdTA0aLBGUboNTDSAlYeUJX8bzTM+/+h0sv+fUv7trlnb7qbYeAoMNvrwrAAWD+0nfiY9fcKT75weGbL31T1/uPnd85POqQcKQKiF/awON+eQIuZ+oK5e9oxD0hUYEflYqok7mqgxniy45A7BA1PyqWXdT8vWar4ewmfya1PicOQB7nQXddHTUPhI5kpKQgBLOMAiULdIaZg0FRoJDkExqMrPL5O4SA43lwXIG0ZYOYbcNrt/e8/4STFtyc33G9uOLyiw/3Chxye8U5uNq++/n34NJTf4ybH2v65cS2rH7O6d1fLw1taTWNIZg6BwsKBKmePwm9rWggRKy4vbzIKqAlJVEoy1iSAdUEpYP1IXI8Yy0WEnQSY/lTdT/Dl5LlWFPurGG9xRjAXqWykGAAj4isejjaR46mV6OTVMn7DowPj3weAb/IrO0Co0UXgjSja8px/RMnkE90TcQvK3YvGiZ+5OWA0pjbqwpwAFi28n8BAAr54Z8ypmlrn3vy2h1bft+etfpgGB4Y9R9/msbRPwzs2q+DC813MqkGQkg452VYe1ABejjwWCm+Gb++iczCGhgMswQQdygFRDDiXHaEIr9VBQwP+qSo+m+VhiScyNjoPlRb/erESxLtL3wQy0Q/kQS6MrxNjryPZn0IJpUN6ol7PJiXSTB0tLtoanQwZAtww5+Gu+IQDI1ytLc2YvHSE/vmLlz+Gdd1fkrSTa821AC8ihQl2XINjaCM/vDYhcuuWrx0Rd/EDgFDKwGEQ9c8pCwb9zyl48E/ZQBiAkz3H4UUsIIBxvESyaJqxHws/0QBSJWiUgfkSYdMVR5qlXUI14uvdkgt9uQBElRFseyIP7HqNdVnEOFWiFI3XE2+UqpgCflOA2AHL4/BcTVwruOMRS7OWVoAbNsvpsAFCkUXFZLB6Wec3nfySSuuopT8sLm56RXF0oHaq27B1WZZKQhe+MGkace7+Vz5Gy8+/2SzLrZDozYefobghl83YU8hBxgmQHXolMCiAgb1R9LLQj9M0YVVXTfJYZPf67GRIEM6pCAy7kESfQDEKUoUQYm47kFaXWcYCDP11Ay+MN+viouLutuXDiUJn0LhSrGb1Z8eMwI54RSccIBTZV8AeECpLNCSAS5/+yh2DQ9h9XoLlGlYMHMCzjjjxMHTTz3hU0Vb/KStaWwl1l6pdlQBDgCE5uA4lZ9puVMHWKo0fULXhK/s3f0b/Ws3NeKPz48D0iYoozAogUkETIpwOm61sH0UsKlRh1BeGLX4J+qAWyTAT6JHeWjJfSEhHNkeTsyq8vJD9GRjEdcEVal+CkW52bFKuQc4nlhAUyCaEVkeCxSHMrhBOQHAg0ekxxQu7hfr5IJh+TEVXPF3g9j6bQurTj7bmdetf/qS847fnE5bd+m6cbThdfQBDgC6bvLi0No7lpx0rjG0d03x+X3i+s37NpHmBkIdRsE5kGYCBvV5t8q1Y3PwoPZEdero+xhYkq2KS4tILRD+tSZh0RyEj3ggesRXZzdFv4dgg7KDie9JSVOWmZY3Z1Q1V63UK8IbuPaNJUfuRMUdZDBHzVGRc9oLSiEEB+cAoRScC3AI0MCqy0q0tqtjtJjG/KmEf+vK44Uwp3+0p2fxj5/dsMM+ZenMow2rmqf4qLZHn3oGjVkr9fja7ZPWPbfloq3b9/3fB57dBQEdLZY/T7l8fAIS4AI0DMXHC2+qYXtKRZVFV9WWsOSEsn4Ydg8L/0RFf1gg7iQL/zAKMEaUQkDBcua/a4z4BX1YvOAPk4V+gmI/LCgAxJg8PhH2CUPnVMSfYArQo+OJW/oodYEnwvDxMH1UAEj4BXxCCRHQqIeUVYLtcBTsuUhnJ/yfjkkTbxZ6z3bBi6XGluOPNpTCdtSczFrtpCULMH/27JLID23gpWOvff+FU665+OxJXlOaIKt5yJkCJousL02AO2axVUct7F8D3EFTLbHko7KeSKQJy+XqtHySf/tfas51OYZWa5+j7yKRmxJZ8FrgjlmtUP5T6oGr+rbaFVEfHqgmUVTTzxAsjJoYKerwhIlhd463fs+ca2YuPP3abdvJhoamea8pcAOvcLLV4bY7fnszvvP1s8Vpp//9Q7+9+b/NnEGO5+UhLWvZ6Ct4yFcYaMDFdRqfphtI8O+gDFqt2dUOGPVJSG7VqkwUTY0nXvllykig4VMiS76R6F15IkRPBVnGLUoOY0HgpOpFor6xybVqSKPxgyHK8ShPO+r7Ej4TIxHFIrJkHIdpOChVgG17msCMdrR1nlLpnnXJVxcsOPFz02edJlad9XdHGzYHvYyvudY3kAeDBwHy5c2bX1r+xGN308c3bl/+60dsLWOk0Z4GLM2/UNK6AhG4w8e/rD1Ia0cNq3JMFF5PSLIWodwuqfFZoSMsqlHo0xJaRVG0gKZoARXxl4kQvBpT6xSKkLpE1EKlXtWPjaonSUjj1O1xMMajJ0AoD/pRZlN3kU2PQmNDWLt9vPviljmr3/qW83hn15TVHidXmbqAZjQebajUba8JJ7Nea28Jk+Cvyu+5AUs/0J5btSnzH5rV947frS5Sg5SQNvzHqB1M/8JVZ05EfJoGxTgJje5qLqqpiRq7kU4rDzgLoSS8kUhQjdX/LsKafeoMCWNuqkYP1SJHFCSpDNHwyRS34vJmlX5KSE3kcckaS1xabv8/5dNPwJ9+0PEYOKdwXY6WJgO7Ro/h6/vn3LIfzR/4+d3PFj73seOONjzG1F7TAFdbw4TLkR/4S2HWMebHLr9kzyaQtfOaaP6t23s3ob9AUXKYP82cRBaNqjPHqrkqFxIc8CS3hqJ0SFVBpTBByQ8IKRHWevmPkjCgomjkYZJvMoij8meoIFbSfqmIHD8SOYZMcQ7legKA4AHdEARc+ICVg4tpMOmTHM9NIJ1XHh6HBorhEWBXH8HUqXPAUuS2huzytae0T/0WQ7GwYNaMow2HMbfXDcABoKHlGADYv+WlbZ/78idmd+/csQlbtox/68OPPY8Hnx2G62hwhQZPABlDQKN+dFNOZqQxn2b4VsqHnOdfb3hcASl80DGpLQag5jGrHVlxFfAc/ux5KvABxCNBSc0b8kkjoOr4kYUWiuX2VY0Q5MG7lBPD7D+P+pacU7icgHtSeSIQGgEhHjTm+wq65iFlOuCCoWILjNol7B2aiMbxC9A4vue21ik9HzdHRntb2jqPNgQOub2uAC7btKmTYZcHezvGzf1UU4P5s+nTp13BmtedsvGFzdhXGMKePMGoYyKtizBb0dAIdM0HOBd+rTwRzOjFBeB5JLTm0mEUxJ8OPKTsBKBhMlKkslTNP4lIaVEtuUS2qs2rkmToqEIJVlHFolMROp8xDh2AXgZxPOKrIK7n55K4LoXjRrzaEP6AYT0o62AaDlxRwI69JkyzC91Tu6C1L/8D07LfGt8x9bm9/W7vpK6xTxvyWmqvS4ADgGE1A8AmIcQmAGvXbCh1XHTmsf+PV56e8b2bH2MPPsnAMiS03KZOYBq+E+hxgYojrbaA6/kc3uU+QKUDJ4IioSQI9REugz2BRecIHVz15U93HZUtloF/acFr0ZMYNVFecQsegVwWrdeY7yRKay8AeEHU0XEpPE5gOxRlm8LzCBgVECYHoxSuJuC6BKZu4+EXDOwvrvLetGL+prZxez84qXXFbghsoOGsxa/P9roFuGzEf8ZvKOSHNxDinU0570o1L70lYz3WMLRvZyafL4CCwjIochkGQ6eo2Bxi1M9X5gIoOwRFB3ACi6YRQGeAYCL8DxrU0PbzNfwpsUHl9+AdaropYlY+Ft1UnMo4sKVsl3QmVanTBzkLlBBN49A0DxrzwKg/QNvjHgh0VGwNrkdQcSiGRygqtj/npBACpkHgeQIVtwmuNm105crT8qvXGRc2tXXvLGFOb2asqb6v8fa6B7hsuYZGCM57QU7cPnXyyNzLLtaXQfD/fPLP690X129ooTyfG9fK0JLzsG0fMFQALJ2gZAgMDAr0l/xZ4TRKkNYE0sKfe4YRAa4AWfCgSCqVvFzl5nFwA/FgUEyJJNWviKqoljuQ9QJgy5vBj2xyaMyDqQXTOeoeGOPgAhgpGtg3aKBcYaBEYHjEwfa9Am1NGixTR7ahudA1adpAtmm2xhi5rKNryuPd3Y3DgOBHUnD+tdbeOEcCP2+CEMI9pzA4a3rnvS3NDT3XfvNX06/48Lu+eNopy9bNnt72zMxpvLx1COgb9tDaSHHuchtzpu5HqTyMFC2A8xIGKwKjLoWjqCwSoFyhITwAvJyJmgvldy78VxDdVDJdY1Y7ilBCGcWOWHqAP95DkQMR9ZVBmGy6BEPPg9BhNOX6sW5bHr/9I7Cnn6CloYzj5hQwwrUyM1ue6Z6+eN2CZX//xR3rfzHdsBp6zMzEe/sHKoOEkDcUuIE3kAVXW0dHJ+ALGsXNW3rBmPYVTWNfGTelk1F96vUL55OewXE7Tmo0BtmcqS56Bzh27ivgfeeWMDBKcP3tE5C3s0gxAqHFU2/lqBUBH2Q8kOKk84kA3IQQn6NTSVsi+62WiojyTBLWPJyQSk4YJQMx0RQjBAIa85AybVTcIm68Q8f+IQvvPquA9TvS2LrHQM+kDFrHTfR6epofNSbkNgwOlD9MKfV03cKiM64XbeMmFY/29Xol2xsS4GqbPq0biNiBu2//4AeOmWs09/cPfGnt0w8Z+bLt5cuti85fYS4+9ditmNLxIjbs8PDrh6fCNVigExMYmr8R1/XfmZKSTalCSWSqKZe1sYNErICL+3w+0OWDyCVT6p8AinMZ6NO+I+lv1/UouMtAaTCnJeEwjRJ++/sK/v2n7Th2VifOWdaA05aM/qlvgP65fcIMNmfBqXZjS/O/nNluDwbO+V9Ne2N4EkfQ7r7nYQjgFEPjZ3W1DV04sb131nO9A/i3G/uwc1caBi+BERetDQSGoWHvMIXjCqR0wNAFDM2XIA3dL2REA90cIKBBcSPToDB0ipTJYFkUKROwdAHTEDD0QNsOVmNEQNcETIPD0D0Yuv9uGS4cF9i5LwUCjtbGMtIpgcYGgr78CB7bOA97+idh9tSm9YtmNdzS3Gjcx4X4w+x5Jx3tU3xU2189wGUrFwcA4GxGy9M9bOPf/v4v+Iats6d2d7V8ZstL29E9zsSklu14bP1O/O7JDJp0goYMg64RWAZBxvKlSEL8Qbee51toQyOwDArTpEinNGRTFBkLSJkClslhGv6cRZ5HULZ9mJsGR8bykLZcMOrBMipIWaO4+0mO/nwPzl7ehY62YTS3ToJn77v2zj++9NLk2ZfRY6ZPoA0pYzOAe8eP++uy1PXaG56ijLVZ6RYAuFd+39i7D2nLbNrw0u7Vhs7Q2WI6q5ZN+edjltirjltgQRMeHnnsz9ixt4Ami6AhS5BJMXDuYse+IvYOeshZBA1pCtcFXI9CoxzcYEHaAAeFQMpwkEtXsHfAxEipAZalwSQclmWjucGFLdoxccoiGIaLeQ7B7r7M/W3j3G80txT09o65sNKT/vDh2eUhZr7+ooyvRvsbwOu0md3jAGAIwO0A4Ja2gxC8SHN8fFMz5Z7rYO1fNmL7vjJ0HbAsBiFc59xVy67evX//eY88X3LaswZasn5+jK4RNGR1NGYpmrIChi7AOdDSaKOlcQCF9U261th558CeZ66mVNc1TcCyKATPoan9OBgGxSITdLRk7CXAS5Nn/A3QY2l/oygvY9v04hOghIzfsn1r431rimJczkJLFnA8AY0R5DIachmKpgyHpgGOS9DaWEFzYx8eX9tKrNTMYQGx9+wzlx3tQ3nDtP8P1i0b9FTcqoUAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6NTY6NDkrMDA6MDA04VkrAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjU2OjQ5KzAwOjAwRbzhlwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58299463
{'hecke_orbit_code': 58546795189372562, 'n': 1, 'trace_an': 3}
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id: 58299464
{'hecke_orbit_code': 58546795189372562, 'n': 2, 'trace_an': 3}
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id: 58299465
{'hecke_orbit_code': 58546795189372562, 'n': 3, 'trace_an': 2}
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id: 58299466
{'hecke_orbit_code': 58546795189372562, 'n': 4, 'trace_an': 3}
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id: 58299467
{'hecke_orbit_code': 58546795189372562, 'n': 5, 'trace_an': 5}
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id: 58299468
{'hecke_orbit_code': 58546795189372562, 'n': 6, 'trace_an': 2}
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id: 58299469
{'hecke_orbit_code': 58546795189372562, 'n': 7, 'trace_an': 1}
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id: 58299470
{'hecke_orbit_code': 58546795189372562, 'n': 8, 'trace_an': 3}
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id: 58299471
{'hecke_orbit_code': 58546795189372562, 'n': 9, 'trace_an': -3}
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id: 58299472
{'hecke_orbit_code': 58546795189372562, 'n': 10, 'trace_an': 5}
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