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{'Nk2': 24108, 'analytic_conductor': 48.12583729822569, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [41, 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': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -3, 1, 1]], [5, [-1, -5, 1, 1]], [13, [43, 1, -7, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816747403, 'hecke_ring_generator_nbound': 2, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6027.2.a.o', 'level': 6027, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 41], 'level_radical': 861, 'minimal_twist': '861.2.a.h', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+(-\\beta _{1}+\\cdots)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': '6027.2.a', 'trace_display': [-1, 3, -1, 0], 'trace_hash': 28966518516646637, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.893', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.248', 'prec': 17}, {'__RealLiteral__': 0, 'data': '277.964', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, -1, 3, 1, -1, -1, 0, -3, 3, 5, -6, 1, 7, 0, -1, -3, -10, -1, 16, -11, 0, -2, -3, -3, -4, -5, 3, 0, -7, 5, -2, 3, -6, 12, 0, 1, -17, -14, 7, 7, -3, 0, -18, -14, -1, 25, -1, -3, 0, -12, -10, 19, -1, -1, 14, 0, 16, -9, 8, -11, -8, -4, 0, -11, -19, -2, -13, -2, -3, 0, -8, -3, 6, 1, -4, 4, 0, -5, -17, 13, 3, 1, -10, 0, 2, -8, -7, 22, -8, 5, 0, -3, -2, 9, -4, 3, 1, 0, -6, 8, -10, 12, 1, -21, 0, 3, -13, 1, -2, -18, -17, 0, 24, -14, 3, 13, 7, -26, 0, 7, 11, -6, -3, 10, -3, 0, -16, 33, -18, 31, 18, -14, 0, 1, -1, 0, 21, 25, 21, 0, -1, -38, -42, -3, -13, -32, 0, 5, -16, -12, -24, -6, -10, 0, -10, 19, 16, 33, -1, -27, 0, -1, -12, -1, 14, 18, -55, 0, 8, -24, 16, 26, 27, -9, 0, 38, 8, -32, -32, -11, 4, 0, -8, -19, -5, -4, 0, 1, 0, 34, 4, -11, 6, 11, -19, 0, 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{'AL_dims': [[[[3, -1], [7, -1], [41, -1]], 39, 10], [[[3, 1], [7, -1], [41, -1]], 31, 7], [[[3, 1], [7, -1], [41, 1]], 37, 8], [[[3, 1], [7, 1], [41, 1]], 30, 4], [[[3, -1], [7, -1], [41, 1]], 33, 5], [[[3, -1], [7, 1], [41, -1]], 29, 2], [[[3, -1], [7, 1], [41, 1]], 37, 3], [[[3, 1], [7, 1], [41, -1]], 38, 2]], 'ALdims': [30, 38, 37, 31, 37, 29, 33, 39], 'Nk2': 24108, 'analytic_conductor': 48.12583729822569, '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': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 274, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33560459, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 7, 8, 8, 8, 8, 10, 10, 12, 12, 13, 13, 14, 14, 16, 16, 24, 24], 'label': '6027.2.a', 'level': 6027, 'level_is_prime': False, 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mf_twists_cc • Show schema
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id: 47799269
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816747403, 'source_is_minimal': False, 'source_label': '6027.2.a.o.1.3', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816747403, 'target_is_minimal': False, 'target_label': '6027.2.a.o.1.3', 'target_level': 6027, 'twist_class_label': '861.2.a.h.1.3', 'twist_class_level': 861, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47799270
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816747403, 'source_is_minimal': False, 'source_label': '6027.2.a.o.1.3', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425148765, 'target_is_minimal': True, 'target_label': '861.2.a.h.1.3', 'target_level': 861, 'twist_class_label': '861.2.a.h.1.3', 'twist_class_level': 861, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47799271
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816747403, 'source_is_minimal': False, 'source_label': '6027.2.a.o.1.3', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189373463, 'target_is_minimal': False, 'target_label': '2583.2.a.n.1.1', 'target_level': 2583, 'twist_class_label': '861.2.a.h.1.3', 'twist_class_level': 861, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4063425
{'charpoly_factorization': [[[-1, -3, 1, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 2}
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id: 4063426
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 63050394816747403, 'p': 3}
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id: 4063427
{'charpoly_factorization': [[[-1, -5, 1, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 5}
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id: 4063428
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816747403, 'p': 7}
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id: 4063429
{'charpoly_factorization': [[[-40, -4, 6, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 11}
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id: 4063430
{'charpoly_factorization': [[[43, 1, -7, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 13}
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id: 4063431
{'charpoly_factorization': [[[-4, 24, 10, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 17}
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id: 4063432
{'charpoly_factorization': [[[-92, 76, -16, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 19}
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id: 4063433
{'charpoly_factorization': [[[-227, -55, 3, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 23}
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id: 4063434
{'charpoly_factorization': [[[-37, 3, 7, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 29}
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id: 4063435
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 31}
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id: 4063436
{'charpoly_factorization': [[[151, 91, 17, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 37}
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id: 4063437
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816747403, 'p': 41}
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id: 4063438
{'charpoly_factorization': [[[-92, 60, 18, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 43}
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id: 4063439
{'charpoly_factorization': [[[-13, -9, 1, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 47}
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id: 4063440
{'charpoly_factorization': [[[-25, -15, 1, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 53}
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id: 4063441
{'charpoly_factorization': [[[244, -112, -8, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 59}
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id: 4063442
{'charpoly_factorization': [[[4, 12, 8, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 61}
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id: 4063443
{'charpoly_factorization': [[[-653, -37, 13, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 67}
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id: 4063444
{'charpoly_factorization': [[[-1156, -136, 8, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 71}
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id: 4063445
{'charpoly_factorization': [[[740, -148, -6, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 73}
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id: 4063446
{'charpoly_factorization': [[[-29, 7, 17, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 79}
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id: 4063447
{'charpoly_factorization': [[[-856, -116, 10, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 83}
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id: 4063448
{'charpoly_factorization': [[[256, -128, 8, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 89}
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id: 4063449
{'charpoly_factorization': [[[23, -13, -1, 1], 1]], 'hecke_orbit_code': 63050394816747403, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '6027.2.a.o', 'level': 6027, 'portrait': 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ho2Ths2TKUsdwO6Q8Eo8VgZCLZMGZY6hlMXFTXPZ8ss7NgYsXluxKa5kC1zITs2W3ZtUVy506Oumhw/1eabT/k88mzCEydjUtXjO1/a4a23WepqjmdPTnP8nObsfMqFDNxHFi03X73AL7xzhZ1zU5xbmGZ+pcZSR7PSkaz0UnqDlGEkOHZqkeNnV6985NnFlx06vbDn6NmFL9z6mrdH937hz55vSPyVbn+nGXx1tUuUxCgp3/3AY8du+7nf/JR8081Hbvtnbz6nF1Y2sdJrstKtsdzxWe5qljqw3ElZ7sQsd1LOr8LRRcHGjav8+x9c4pbLGpy+OMu5+SbnFjUXlywXFhPOLKTM9xKmZ0e85No+L9oPvqwTqICLyzXOL2ouLAsGISSJoeYbmrWUmakEA5y8kNDtw+7NHs16iLUChE9/aNi1JWRpVYN1UmS1D2ECFstyJ2L7Jo/eUCGURZiQds1j19YRqwPByXOa1Gjm2pJWTRB4kCSCQSi5sCw5v2S5uJIQBCPwEl58VZ/brhZsbNdZWmlz+mLAuUW4uJhwcTnh7DIcXbLcdNUiv/SDK2yZbnPqwiwXFussrPosdiTLqykr3ZiVXspqz7Lch/N9wfzSkF/752Hytttb36hv/BETtK/4BtifA0W90X6+ofKct7+zQeZvve9jTE+3uXBx8Zc/9Zmv/ItP3PFQcOZMlw+vGl57o+G6PasgMtY2AmPBGI21Cmz+r6RILMeWpvn3HxL88o9c5Ia9Ea36LM16i3YjoNXwmG4rLi4pLqxovnxfjc/dm3DZzgH7L0lYXhly5c6Q73+9IU4UAstffLPGfKdGPQ05cV7R77e47tKU+W7CgUMel++UHD4HL74COj2IjCbQERua8OzZOo16TKASplqC1R688MoeR88EXL7bcPxcyNNH3b/n7Rxx9KJlqhWy3I34zJcbWKFI05Tbrx9w6w2WC6seN+wbsW+bRxK3GQzrHDhW48KiYGElZX4l4eKy4dSy4GI/4vrLl/i3P9BnY3uGk+enubhUY2HVZ6kjWemkdHoxnX5Kt29ZHcDFgWSxk3LTlSu8ZP+KHg02vvzUEx+lMfuSW/de/jLTmpr5+YOPfZz913/P8w2ZdW9/Jxn89z/0cW65bru64+7D//bChfmff/bICXVhOWS+pzndg/075/m/f/IiL7ikwcWlGZY7DZa7NZY7HstdzUoPVjopK92E5V7CYgdOrwh0fcStVy/zvS+P2LupyWq/zfxynYVln8WOYLnjJMJKz9AdGrqhZTBKmGvH7NpsAEHgWc7MewgZsHuTYu82y7ZNAy6uhDx+uMWNl1ka9RWeOjJLqxkRRR5zM4bhCK7cNeKPvjrNFTsTwtCyYUoSp0NatYCnT4yoe02uvzzhiWMRF5d8ts8F7N0Ku7ZEKBVzZhF8zyKEZffmhJmWpDcM6A88ugOP5a5ieRWWOoblTspiJ+VCB5ZGKbu29/ne2xe5db+m5rU5v9hmcaXG4qpmqStY7RhWexlz9x1zX+hJLnZSbr7iIr/y48vs29pifmWKheU6vWGbmQ270pnZTb+8El/zSw15PL3ltrc839BZc/s7BfBnDz1LrV6rnzt7Ztf9Dz31jsPHzv6Ho8fPYIViEMLqQHCxLzndTblx70X+008ucd0ldeaXZ1habbDSq7Hc9Vjpala60OkZVnsJK72E5a7lYkdwrm9B9HnrSzu88RbDJVtrRFGDlU6N1b5Pp6dY6Qt6A8EotESJJU1BSUvgQT2wTLctm2ZjtDfi6PmIJ48EmKTJ618Yob1VHj4wxZ6t8PkHEl56TcB8Z0hNK5I0ZnYGkthDewlLSw1eckOXz9/XYu9WeOhwiEeD191iSMSQJ4+mHD9TQ0ufzTOamaagHgh8X6AEJAai2DKKoDewrPYNvYFhdWBY6luGacruHQPe+KIOb70tAtNiaXWK+eU6SzkZdGC1l9LpJ6xm4F4ZwPmeYr6bctNlF/nVn1zgyl11FpYdmaz2AvpDTRQZGlPb8Wrb/s3s5v1/tmPH9lPhaDS87PIrnm8oFbe/MwA/ffIwGzdt9A8fPvLDzx468lvffPBRsbDUl+4EWvojQ28Eq0PBfF9xthdzy6Xz/OqPLXHDpTUWV6dZXG2y2g1Y7fms9DSrPUGnZ+n0U1Z7CZ2+YaVvme8JzncMM9MDXnNTjxfvT9i9WdGue3R7NQJPAoookYX8GYwAYZhpjTh81mJsxJ0PNQkHdS7d7nPrtQNis8rdj0xz/WUehy/06ay0edG1A778cMDmWcuBk5Z/8pYuB04EbJ6VfOkRxa1XKpYHXY6dnuX6yyPufnJIEjZ48VU++3aOGCZ9vviwglRw9Iym3dBoAYOhxFhBaixxAkiD9g2dvqXZitm5NeS2Kwe85saEuWaNi8tTLK3WWem6Y7PSFXT60OkldPoJnX5KZ2BZHkgu9ASLvYQXXrHAf/ixBa7bW2NhZZrVboPVfkCv79MfKUahpD8SREnN7L7kGrt7776f2nfJpR9cXFqMrtx/+fMNKeDvCMCtiWQSD970zGOfvXR+ifd88/6Hvd5QMAwtw1HCMDQMRobByNIdQWcomB8oznYSXnzlPO/+sQVu3Oez2p1iYaVFp19jteez2td0eorOAHp9S3eQ0O2n9IeGzsCy0Bcs9CFOQ667bMiW2ZT+wPKGF4Xs2WJIUomWliiGux6vcWq+xtaZhKeO1sA02L9DccMVhqA24OHDAxYWm1y9p0l7eoX7nvC4+bIaS4NVVlbabNlieeCA4gde2efBA5odmzwW+x1Wlme54coB9z2VMluf5upL+8x3OjzwzDR13eSmKyyX7xqB7PP4ccGm2ZiLCzF3P+4xihVSQmose7ZGvOZFEb2+YtuM4YbLIIoaTr51Alb7Ht2BotOXdPvQHaR0+84t6Q4MqwPL8lBytivoDENuvXyBX/rRFW66zF0cq90G3UFAd+DRG2oGQ8lg5ADe7Tvtft31N8WDUP3MD37/dx1ptxqfCQLPPN/Yet6DzHA0YDQKf/DM8Ud+/eL5w7NnznVoNiRWSISwCECIFAAhDAinQYVIkVLz0OHN/Nz7NG+5bZnve+Uye7dHXFhqE/h16oFPI/Bo1jW9uqQ19JhqagajlP4wZXNoGIaW3ihgeaHGmdOWKDGcvZAQBBYQ+MqipWAwVAg8koHmBXsE+7ZZdm0fEKY97nhQcfDIDK+9MeCGK1f4gzssvmiwZ/uAJ+5TbJ9WbGgPqKk6Uewx34NmTbNjs+CxgxE3XF7n5dcv8vufHeJ7LV79QosXDPjKAxGfv7/JM8frXLKtwZ6tKRtnIvZuiLlmT4pSBq0sYGkEARunA6LYozfweeqw58oThor+SNIfQn9k6Q/cd+8NU/pDS3doWR3CwkBxccXSmOrw029Y4H95cch1e5ucX2zT6dfp9n16Q4/+UNPPwD0YCQYjSxi5VeRrdz/g1Zpzv37PvQ8tv/Llt/yLfn/w+81m439egI+GQ6wVP3r00H3vfvbpr8xG4QpK+tR8MAawAoQq1hkhQGCRwt21TPGl5MkjG3n0cJPD5+Z5y219brtqxHSrzXKnQbNboz306Q80vexkD0eaQagZhZZRZIhiSxxbktTdo8THGpBK4GlBzRdMtwQzLdiywbBj84ANMx2+8DDc86iHNFO89kaPF+zvce8zMdGoza0vEHSGQ+aXmrz4csOG6QF1HTBKFAvdGGUEL7hc02iFPHKoxstumOJF1/V45JACO8WNV/n8yHcu8+XHIr70YJMDp2rs2qjYMltnptVgqgX1ADxtURKMhQPHBWkqiBNBlEAY475jmDIMDaN8JQwN/SF0Q1joS+Z7EJoRr7p+mTfd1uEfvNqQJG0uLDXp9uv0Bj69oaY/UvSHKgO2YDiyDELDMEyJEnfsLpy/wJ9/6o5ZQfp/vf61L9ODweD9jcbzB/LnDeDhaBklkx859ux97z5+6GubTNLB0xqLpeYbXA2VBAQChRACKUFJg5Qui6iVRStD3RMsDOp85Ks7+MqjXV56zSrvfNUq1+ztMzfdYGm1QW8YMBh6GbCVu0eCMJbEiSBJ3FJvM4tRSYvWUPOhUTfMtmK2bxqQ0Ofw2Zg/vbvGsdNNpoM6N1+lefG1XR54tsOd32zzwstq7No64I++KlAioN2KWe2HGAtKwMb2gG7PxyR13vTSeT7y+Qb7LtZ44wsHRPESdz85R5zWuOWqTbzx5i6X7ezwlUcGPHG6wePHfXbMSmbbgkYg8D13EUoBQtjMLrXEGeCi2BLG7kIeRTCMoDcSrISC5R4IPeL6K1Z552tWeelVKXPtOivdJp1uzTk0Q7cSOGBLBqFkOIJBduGMRqkjiciSGlBaM7/Y4aOf/NKmMLbvft2rX2Ivzq/83uZNM/9zADye/1XOLu1n9fxnfigaDd+zcu7ghkD18BqaJAUhZOljC0BIhBAIIVFSo2SKlCJbng2esgTaUtOClZFiqTPDR+9qcv9TfW69bpV3vnqV6/d1mEvrJEnAYFSjP/QYhpooVsSJJEklqREYK4oVIvANjVpC4Ef4XsjZpZDPPiQ5csbn+JkZlAnYt9Xnyr2KG/d3UcECTx5tsX26wdWXwJaNKyx321yzXZIYyxceDAgHkulmwutuGfGZu2NOXWhxxaUe51dHPH3MY+fmGa7bu8C9T/S472lBGPns3zvL/p0B+3f0OHp+mSNn4cGDDQ4fa9LQgkBLmoGl5oGU7pBZ6y7WJIUogSgV9ENBdyToxhCZBGNH3HRZl3e+pstLr0nZOhswGk2x1KnR6wf0Rz6DjLWHI8UgFAxGklHo+kZHUeoAHhpGkSWMDGGCWwmN5NjpVT7wp1/d9MiBi+9ptprJb//eX/zBl55e5M9+7R/9/QX4v/yV30Zv/Dj1Lv9Axad+I1q9ON3wPORUjTA2xLFCK4WSCiktUoAUoIRAKeF+p3Jwp3ha4HsG37MEnqXhp0zXBL3QY6U7w8fvafPVx0dsnhnwjts77N85YjTsc/Vey84tijD2SFNFalzCSGCR0uDplJMXLccvCFaHhk/f2+Ds4gw28pipKbbNaXZv0VyyHa7e18XIRd77mSbLy1O8cL/m6n0dvvK4QCQem2YkzUbCIPaRVoKVKO3TGQkuLguusg1uv7HHNx6ps22DzwuvnuUff+ciH/x8jwcPNemPPJZWW+zdVueKrQNuubzHd7+sx7nlZT59b8DSIODkeY+zZ308JZBSIhAY6xg1NpY0MczMxVx71YAwjNm/M+Rtt4dsmlLMtgLiuMb5hRqDoc8g9BiMNMNQMRiprBJTMAwFoxC3EoQpYWQYRSlh5FyuUeyC8TCBKBGEieLsqS4PHX1gw+49W37jlus2x3/2a9f88eLJ97Bh98/8/QP4P333n3LNy98hfuhd6u1bm0++7x0veaJx5e46q70G3sjixx6jyEMp4zrWpXMIpLQoKV3ZqBLo/FELPJ3ia4GvDTXPUo8tjcgyVUuZqQsGkaQXNTl+psmv/vEsmASRJNx47YC9WyKSBIw1WOuSOFIIpBJoz+fQKZ8DR2o0a5qWL9nQEGyck2ya1WzbqNi9NeWK3aukYonf/ESbk6emeeHlHvv3pAyTHt98MmC67jE3ZZluRTTqTgoZI+mMFMt9y1InpdOv85KrV3nowICDpxTT7Rq3XDXNj71pif/2SXjkSJP+0LLa01xcbrNlQ4NNMyN2z434l28f0G50eOI4HDot8TyLUtYF41j3PwtJAnu2pNx6TUIae8RJgLUNRpHHhUWfYehWtFGkCvk2jASjUDCKJMOQDMgO2OXdAXsUW8IIwlgwSmAYC/qJYCUS9PoxWzqPTv8vN8297zcuzie98F0fXToxY+f2/MTfH4D/m//rT7h0a1s9+MU/fOvx08t/8IffXKk9drDNe36yy2U7UjwvZTAM0CpFKw+tDFppp7Glco/a4imJp0XG3IrQk4SRIYhSwthSjw1h7PRgO4EwNgWjjGJJmAbEaY2DR5o8fhBSa3HQdtrYk+ArV/PRCuDqrdCuw1RTMtNSzE1rNs3Cri0hWzeuEttlfvMTUxw9NsUNlygu2SHZt2OFrz2dcHFpihv3Smbahpo/JJABVgmSVCKsJUkjVvo1Li553LC/zgsu73HvIzU2zwgatRY3XG746bcu8RufNDx9tsVq37DaUyysaDZMN5lp15lpT9FuxGxsxuy+ISLwEjydoFSKFE7nWdxFFceK+QVNnCjiRBHFijDOHiNJGEvCSDKKJGEkXIAaCcJcfsSGKHsMo1LXhzGMYgfuYSwYxIJuIuiElnA04gW7l/iPPzHPK64831hZav6BUf/dWG/PJ84f/kC69bJ//O0P8Pf85p8w1QrU0TPzbztz6tzvP3PoZM1vT/OFBxW+hl/6sVWu2JGgVYPBKB0DucqA7mmFFyk8bfEiia8FYSwIPUHoK6LYAT2OLVGSOlckqdxTSFJLmhpSg9PbhgLcQoCSoCV4HgRaUAsEjUDSbCimGpKZKcGm2YTdWwa0mqt84hsRdz85y+pim2t3KXZv9bhs54hUrPKFBxs0Pc3GGUWrMeLJo/DMMc01Oy2DUHHdZTHX7rNcOJ+ysOIzHDV4/c09vv7EkMNnFc26JPDbXHOJ4Zd+aIm7nh7ymbs2sNS17N6UstLRTLcVU02PVsOjWbfUAkPgGwKdopUtAnFwLG6Mq9lJjCRJBUkiiBNJlAjiWBLGznmJYkEUW6IIwjglig1RhTjCxBYAD+Nx1u7Gkm4i6IUpxANu2LXML/7oEq+7CVa6M3R6J2syaHwIr/aPjJz72OEnPpxedt07v70BvmeLkoPh8PvmL5z97aNHTtQ21DUiEqzYJn/xzS1EkeJ7bu/w9ld0mW0n9HQNrQK0TtHax9MGz1N4nsaPFKGWjrljSeQLotiB3QWMEMXSOQhJafslqSFNnbuQ2swpyQLZ0p1xssfXgsCX1AJJsy5oNyzTLcPm2ZCNMz0Su8pHvy754Ofn2FSrce0uwa6tHnu2GXZvXeET37QsL9fYv0Ux04ZWI+biCcn8SoC/1wFi45RkehoOH7esdA0XFmtctqfGK2/s8dl7asy1IPB9lJzmmn2CH3/jPJ6c5y/uneGZszU2d2M2TSdMNRWtuqJRl9QDTeBD4IHW1oE8i2EKkOMu7NRAmgqSlAzoEKeWKIE4Th0pxJl9mhiixDh9HWeuTGZB5qzdTwS9RNCNLOEooh30+N7vWOTtL+/zqusFq702/WGdMAror56uxar5vkHa0sY2/gTHM9+eAP+9P/wk3aH5oeNHj/6ns6dPtmeaku4oB5lkVTT5wkOSbz5V48LKIv/ku3vMtiNGvsuaeTrF0x5e7OFrg+8pAk85cMcule4YRzgmylgpSSBOIU2dk2CMC7iMsXkPZwZuB3AXwAo87QBSC6BRM7TqCdOthI3TQzbMrPKNgxEfurPOoePT7Jny2LcFdmzx2bEZrtjVZZB0eeBAm7ry2DijmG7BdCtkZirB9zVCuItrGPosd2NWB5ZOP2F+xWfXlhYv2j/PnQ8OOHS2TSOI8ZSPEFPs2674h69e5KYr5vnQnS0eeGqapb5mUzthupHQqEnqNUXgCQJP4nkuVlGKzD50KLe4HlZjKICepCZb3TJrMTEkqXG+dgxR4upx4qQEdpQIRokDdy8RdBMYDlNMMmSu3uOnvmeJ/+P7BtT9gNVuk8Gozij0GUY+/ZHP/PK5tq57v3nVlZf5Bx//9Af3v+DN334AD4c9pJQ/+t7f//i7Dxw+NWcReApqXuY3O4jRlXU6I8V/+jOPA0dXeNPL+tx+fZfNG0b0enWGYUAY+YSeJog1ke/svRzgcSyJErfsxknmaadk1h8Zc0uMpQS3S1JmzA1auYSJ7zkPvl5LaNUSZtohWzd0udgZ8Fuf9vjCQ7MsrzS5dKNg1ybB9k0+OzYJ9m4bof1VPnK35tjpJpdvlsy0JFPNFClDzi5YAi2RAqwVRLFm96YuD5LSHShWupaLy3Uu31Hju2/v8LGv+Jy4GODpGCE8jG0SJ5Ib966w+/u7fOGRAX/0hVkePtFk+4xgQzOlWUup+YLAE/iei1W0wgXOUhQ1GRZ3kRmLc1pSB/gc5EnqJJ0De8nsUZ48SgTDFPqxpJfAMDIkg4gdG7q8/MYV3vyyAa+/0aBFk6XVOmEYMIwCRpFHGCni1PWYRoMzcyudHe+5+oa3quXlwftnZ//HJIP+hwD87MUVeqH4x3/+2a+8+6FHn96Upg5RSlo85TxbB29nAXZFQDfUfORrAXc90eOG/V2+/1WuCm5uOmA4ChiEPnHsESUeUayLQClJ3EFLEkmcCpJEkqaC1IhSaxtBoUqsY24pQCnnOnjK4HuGwE+pBwmtesiG6T7DeMhXnrT86demeOCpaWZ8j2u2W7bOSjbP+WzbKNmxOeKS7Ss8cWLIp7++kSml2TglaDcF7UZMZ5Dy+W/WaPkWIRywhqHmTbeGfO5+VxPT6RvmVzQ7NrV4y219HjjY48Bhn2aQoKRwIDcNRpHT+v/wlR0u3zrPR+7qct8z05xaqbOlLZiqWRq+oaYNvgdaCZR0F7Jj8vyoO3A7bV6ucEkGdEcQEKeCOM2AnTrWHiSCfoqLeaKIZn3A9752me97dZcbL0/ZPOsxGLRY7dUII48w9hmFHqPInTOTlkmpi2ef2rRvT/DuLXteY2y6+AGh/vYbm/9WAb68ssr8Yp9Ayx/8zB1f/7WPffKrcybqUQ9UFsgJfF0KYCEsSgg8KehLRc9rcqYbcO7+Bvc/2edj1/Z42yuHvO7WEXPTPlEYECYeUewRx17hCCSpIkmzhE1aAtzYjLlNWVPm6lhcRtS5MwbfSwn8mHoQ0aoPSRny5Uckf/zVaZ46PoWIA/bMWLZOWzZMKzbO+mzZINm2MWbXli6nF3r8zmeaJGGdHTsE0y1NuwntRozwIrrDJtMtixACayFOJLOBIjEJvdinN0hZ6SrOLtS56pIWP/Fdq7znTwJOLjTRKs4uDE2S1BhFki1zATde2uXaS/o8ffIsf/q1Onc+PM25Tp1moGj50PQsvrZ4CrR06XxX6lDeDGCNu+hSI0gtJKlw/nkqiFKXJBqmjrWHqSWJE0wcMVcb8PpXrfKOV/V46TUJU3VNFDdZXq0RRj5R7IgojDRhrAkjt+ImRmIRKAWkyxw/ePemJK3/2uYdtyWj/qk/NEzTaP7tzU/8WwX4cDhky6bmm79294P/7TOf+1LbhD1qvnJXrASrIMu1AdYtn8IdfF9BTQl6ymeQaObDGn9xf5O7nxpwy5f6/NPv6XHlri6bphXthiaKfaLEI0l0AfI0B7iRWY+mkwS2CChBCoPKUvxaJwR+gqciusOYhW7Mf/lEjePzMzxyYBprfObqgk0bLBumBHNtxdy0x+Y5yZa5hO0bB8xNr/CFRw0PPzPNtTsEMy1JqyFpNwzNeoTwQoJAo5V7f2shTSXDUDMcxSRG0Bsaen3LctfjwlKbF1/R50VXrfKRL9WoLyu0jB0grSZJfaLY9XhumK5x074+N13a58GXn+PkguRDd04zv9rgzFKAryRNT+DnMixLnonKaTDWAd0YSKwgMRAbQZjCKIHIWEgTSGKkCtk2M+Ta3e583HyloV1XJEmTTs8njEtgx4kmijRRMi4nk4yArIVUeFxYiFjt3zU3GNX+27bdN68k0eDTf5uY/FsD+IFDz7Jt6xb1hx/+k0uffOpQ28QdZtrlP28MWZEUWerdZuAWaGXxE0sgBXUlGGrBwAsYJh5LUYM7H57iG88MaQYh/+gNHXbOJezeNuTFV/fQQtFqaIRwcsVlJV2ttLUV5sYipEUJ55lbEpAJTx+XPHRQ89kHWjx9qkWUNGhpxca6ZbZpmWlY54O3NbNTmrlpwZbZhG0bh2zduMLdT4W897Ob2Dqt2diGdlPRbgpajYR6EPKNZxWjSOM1HaisFUSJpKYV118+5P4np13h0zBlteuxuBpwcXGGn3jjRc4sLnH/YxvxJCBiDJAkmij2CCNJf6iZadWYbjd50eUDXn7tgO9/xQIHTxs+90CNBw7WefZYk0RowlAxiBWqKH2oBp5ZTsAaEmOxxuCJlCk/okbMi27os3friB0bYt75upC6r2jWHMl0eg7U7nNl0jFR7nWiihjJBf9ORppMOsaJq7tfWhmw2Lmvvfn0wqWvef3b1OmTR9Odu/f93QH4gQMH2Lxxg//ggw/9sDXpf+p2l5lq+YW+ywuA0lQU2UkpnSZXqUUnEGdAD1JLkAoaqWCkYZRqhqlmmNbo9VJ+7SMz2CRm88YRV+0aMTeV8LZXDtm1KSKORaa3JVSYm0x/SmkQUvDxu+o8cbSJ0JqT5xqcvdigVldMBYLppqVdM7Rr0KoLphqKdksx09LMTcOG6YTNcyO2b+qS2lU+/vU2w36Ty3ZY2g1FqyFp1Q2tWoLnRXzh/hrhQOJtcqVjuURp1hWvv2XIPY8a+qGkP0zpDjSrPc2FpQZX7m3xtpd2eeTpBieXWyhpgDjTyx5x6tykUSTpjzSdvk+r3qBZD7lyx4gXXjHi9HyHE+dX0V7K48c0H/taA6Fc4RpCjp9EawA3kSCOUnZvTnjHK4dsaKdcsduyeQ7SxCOMWiSJ65pKEk2clsmjfCWNM2AnqcwC/wzgqXASKAVjXe2PSSFOfVYHy0zNJv/pyccfGWzevvuDh549EF1x+ZV/NwB+9uwZlpYWLj9z5sxvPfbowzLwXPYxSSypsdlJEaTSvVYZuGMp0NKSKNCpxUucBvSNJU4tjVQQGUucCkIjCFOP0HjEBhb6bb72hMGS8qkH3MgGrMnueRYvs8iEQAiFEBKpFEmskUbjaUkrgL0bLU3P0AgMjQAagaBZl7TqTg5NtSQzbZibStg4E7JtY4+UFf7Ln9e498lN7JuDmUbG3g1Jq57QqEc0G0Pq9QaBkiiZaXDcahbHHqOhYBim9ELlOpaGxrXMNX3OXJziJVeF/PTbL/LrH9OcWg0QwmBtjEktceIRxZJR6NEfKlpDTbPm06jXaAQNakFMqx5x42URvhdz82UJ73zVAK2SLAlkEMKOi/JM0hkjEUISeArwGYWapRVNmuZS0K2WiVEkiXQxUCKLYD8HdpK7W6nL4CaJyKxJUSTc0pTMAbM8+OBDMkrkb3V6g69H4eipvw1s/j8G+Ffu/BRTLVU/ceLIW48cPiIaNU1qBHFqUNJkNpQlMRYjXYtVIi1KgUrJvqArfU1U5l0b97Mki+zdzwSJscQGEiOIjCSxktRoYhOQZrZX9VZkKQVoIVymUkGtbqlpS02lBB4EGmq+pR4I6r6kUZc0atoBvCmYbhlm2wlz0yGbZvts27TEez9r+KM7N7NzWrGhZWg3Fa2GotmARj2lVY85v2Q4ej6g5rvyW8gr/QSjSLN3i2HLhhHdkc9wZDMWl6z2NK16jVZjmne+ap5j5y/wvk9vR0uNxZCa1B2LxAVvw8gVRQ1qksZIUw886kFKp+diDN9LXU7BS9HSNUpI6dL5Iru70hUBiGJSQcdkVZbGxTVpKjFGZRase53k4M2D/EQ4oGdsXb2naQnoHOBJCnFGbGEMDz/yuNi7t/fWnbv3HP3oR/98+Pa3f/fzC3DP8/ylpYWfXV25+LPSjmS9JokTUKkkVoI0saTGoFKbMTgoJUhTi5KWVAl0mtlUaZZ8MK7RN83sK3e3ZZo9q5RzXq4oAqWq5gayTJ7T/VoadFZD7inwlMDT1vnGWlALJDVfUg8U9ZqiVZe0GpapZsp0K2G2HbJhZsCuzUs88GzIR+7axkwtYHPL0G4IB+66pFkzNGsJrUbIA4fg8YMNLt1oM91bps2HoeLmKyyX7Rry4FPTDELLcJTSH+oM5B6NWp16bZrvfdkyjz87z/0HtoBVGJM6okgsSWyLepJhqGmMLPWaouYbAt8j8FMCbdA6xdOmKIFwBW0uDkJYRKVGuQzORSkljOtPdQ6VLGzYHORp9ruk8jrPlLrnGbgz1k4zAkszrz1JXVdQb9CXZ86e/7f1RsNvtVq/DETPG8DjaCCjcPiLX/nin/yLfue8X/N1prFBJi7BkEinvVNpSVUmWVL3XBubJRgccLWxmOy5kzYZuG2eebOYLBOXJyustVQy72Mrbp6qzhM6LqB1CaeyaMtl/wJfUQsU9UDQqAtadUu7kTLVTJhuhcxNDdm2cYX7Dw35xd/fzKkz01yywTDdgHZd0awrmjVo1lLqtRjfG9EZWZRUeMrFHPnNnXBJnPi06zGDxDDI6qwHo5TeQNKpKxq9gFrQYs+WmF/64Q7/7g8k3zywGYvCWEOaGpI0yVLpilGkGAaSeqio+ZLAtwS+ItAGz3N+v1bWAVw5gKtMpuTtgcUtS+3nF2TO6nndvDElqB3xyOI8JlkgmeRsnZZsbapElp37JDVFFjVO4Ojxs77ymj/zEz/6Oq/XG/ybVqvxN07n/40BHoUdjIl++cLJr/zzdHSsNtUUjCJbpL+lKEGVSkGiXKYsNRaTafHUuJqJnJ1N/vsM2KbwaMEaS5qxtZ24MwHwTHZngaWTKEo671UrsrS8wNOSwJf4nqIWuJEM9cDSrBlajZR2I2aqFTHbHrJt4yr3Hxzw7z64gUOnZtk96xyWVl3SbEjH3nVLo5bSqMXEacSHv9RCKoUnLUqUNqGxOdN5/MPXrvDFhyN6UcAgA3h/qOj1FZ1AU/MDAq/NFTsT/sOPLPELHxTc99RmjJWkxmTgcIVmYWQIa67cNQgENU8Q+C6z6WtbZGy1Mkjl7FkprGuUyAFepjwBKsdbFPIqB7ipFq5lgE8MmLTU2gVJZcAusqa59EydjHXgdrUuUSJ4+IljtT/95F3/+/e/7dViaaX7c3Mzf7PpWX9zgPcOYq190cK5B+tajgh831lz5H5zVsSk3BdTqQN6WqSHq2B2rG6Uq1OZdF8c0IWro8hBbRlj7vwmKDOVQpSZvJy9tc7rTiSeJ139hi+oBW7mSSNIadYduNvNiOn2kI3THR44OOAXPzDL0yc3sGNGMNesSJOapllz9Sv1WkI9iPC8kLNLM3hKoKTJbLkyyExTSZIots5YkiSmG9dcp0xoGI5SeiNJfaCo+R6+V8PTU+zfkfAf/vEC//r34P5nNpEa6QCeWuIkzZjcEAaGWiQZ+aqQYJ4Hns7b/KTLBeSOlgCRPa6DcQdusqQQwj1m56SQiiZ7nj2maYWkKrFUfr7TorqzLIpzhV2u9qXTC/nCVx+q7730khdVV7//VwD+55+6g689UGvMX/igv3e2g5Q1pHQ128ZWQCZd1ZqSkGZAT1OBkSKr7KMAu9E5mKsyxGYFUhU5kjPKc3w2KcoiKieXRAFuJWXWKJHLE1cbE/iGes1SD5x+btRj2o2I6eaQDTMdHj484hfeP8OTJzeybVqxsWmYqgtaNUmjpmjUBfWauzhcqj/i/gOC/sinpsguMqfB8yaE1AjiRNOsKV58dY8Hnm4ziJ1MGYYpg6GiFygCX+F7fqafp7lyp+FXfmyed/0u3HdgE7GRxMZkzdJlD2boSwLfOPb2yjp6rfI7mUwpZZzMsrzrgTxPCtkc4Pn3yDLF1dW2KOayZJKzJLRCohYxVVkDkyQlywshWe4sc+99H/H/jx/8h42H779zcNOLXvs/HuAXL5xk0+Yd05/85Cd/59iJxsuahNQ8maW/3TKYHyEpRBFY5kA3irEr3ShRAHqMtSuANgWwy6ZgrB3X3ULkLZyZRBIFuB3AXXDracdkvge+Z6j5WYFVkFLP5EWrHjLVGjLT6vLYkZBfeP8Mj5/YxJZpzcaGYaoOzZqgWVc06opGwd4ptSCh1Rhx9+M+q50aMzNlmjwHTB6sxali05ziVS/oc/dDxnXRRKYCcknNk9Q8jad9tK4jpeHKnZZ3/9g87/pdy32HNhEbTZxVALriKMfkQSyL6kJfS7TOirCkQOn82FB8vvwizKWKyKvSKBNCk3dTeTSm8lisvKVVbAqgMwH0XIuXhOZpQV0bttblyx544tDvvfT27/rJY8dOrF5yyZ7/sQAf9c9y7tT8uzxz8vu2T/eI4wCRlfTKHOAit+cy/9s6oJdXtiiejy91oigAKsH9HMxt83oWUYA8z1/ISo23UmXFoFa4+gxt8TzXWFzzDTU/pV5LaNRimrWQVmPE7FSHR54N+dnf3cBjxzazadpjUyNlqmEzcGfsXZPUA8f+tSChEUQkJqQXBQgl8XIGLzS4yJguy+zFHk1/5MoFohozOchHKQPfMXjgSzyt8XS+Aa3lmj2W9/zkRf7VbxvuO7iZ2GjCVBClJmNxQS02BJ7F91xbn87iDq1cibBrBXTHyckUUVkB3VEtLsxqrDMB7oKEKsSUg7tclcfLlvMLoJSsJfsjwNfge4r7HlnhwuqR76tPPX40juN//T+UwU+eOk29tWP30cffe20anmWq5UCdA0zJLCWeec+pBJVXq0lRAbetXOli7OovD5ioMEWZlbTVNTNn7WpQmS+3WYeOyoIp1/LmgO1rW1QP1rw0080x9VrITHvAVLPH/QcSfu69G3j02GY2Tmk21lOmapZWBu56zdmJObjrQUrNT2g3Iw6csNz1SBNfSjxlsiCu1JH5Uh6nisRobr8x5tJL+hw9VWdjA9fEG7mxDINRxsJaobXnsr/SeddX74Zf+fFF/vXvGr7+9EZGcZ0wlUSJpZFp2cDDgVznq5cpelulSosVTklRAbiogJw1eqUEuR0HeGWlLQG+9nUO7OqqnRaMT1HOnDP7wcNnqTceuvbn/9WP715cOHtyw8a/+naHf2WAnz5zgVa7veeppx74z8eODd5sRhG1wAUrBTuRaTpjsVl1Wt4q5ZaqHNxOxzn9lvvZTssVzMCES7LGLcmYexLcwiJV7uDYTDZlrK0tvjZ4niHwDIGfUPMTakFEoxYyOzVgpTfgnqfgV/54C08c2cCGDNzTdUurLmjWROGVO+fFOPb2HcDrQUiUpoyGNWrKXWRSVJZ+KC23VJIk2ml5HRJGlmEsKgA3+H6K72k8T2YTB7wC4Ai4bq/gV35yhV/7k4T7Ds5xrtNm1JRMp5ZWYqllEwcCz2bef+6k2IK9c6mSA7z4vNmHruK8UIjZSbHFuVq74hbxU3GObSVAHZejVYIrrimbySYzIpC9Nz/95EPp5fuv/t+Xli6cmJvb8rcL8M7KKaJh/YVLFw+/9cL542yZU8XoMClt5eSBkc7xUCbX16KItB24bZmkMbZgaDMhRaoAz792VRXmJ0FQDZZsJk9sVjXomFtrg6dN1hmUFuAO/Azcs30WVoa8+8MNPv3NjSz2Z9g4JdlYy8Bdc7q7kQWW9UDSCGzG4E5714IIiPjqYz4rsc9cwFg9NmJ8hUpT1/zQDjSvvGHA/YcienHAVNbYO4oMfuhq1X3tAK6VRUkPIV2CBgv7d0p+/Z92+dz9Q375A5s5szjDcFoz7QtaiaGRQBC70cu+cgONvDzQlKIIgvPHaqBevTAdiVWAXjlPVByuvKkiP6fVvEUZX+WkVtXxZYzl3legAc9XPHPgCFs2b35rYoIPD0fDE3+rDJ4kPZRqXnb2+Nf/mY4fY9cWi++l2cF2VXpVgNuKX22szACd23yCNbafKeVInlzID2B+EKv8nTluCCjSzbkLoHKAK4uWDthaOXB7OsX3UnwvoebHBH5Mqz5E6wF3P57ye59v89l7NxGZNpvagg01J0ucBZj75Cq7i4y5q+wdo3XIN56ZZhBptjbyzzPJ4HmQLYkTRc1TvOjKIYlxAB/Gwo1iyLztUWhccKiz2TCZvSey5LpFsGFa8H2v6NMKzvGBzw+555k5LsR1BjVJO7E0tXUg11kcomwWl5S1QTJbbYracQmSksUndxSsgjwP+qsElTP4WDC6DqCLFdtMznyyGOH+m+HI8uk7H2d28yX/7Lve8JJHV7uDw9Ptv7wL6C8F+LB7nNHCx9D+zDYVH3n5TOM8NdVyWim/0ooRBVm6fExH2+J5Du6Sscvntqq5CyCIdVOUedNCKU3yrJyrGFSSYvJVztyecrUYgRfj+zE1L6LRGOH7A/74Ts2v/uEmji7M4gU1trQEs0FKO7A0A2hmHfb1wGU7a1lCyNWvpNlK4OTJYjelH/n4SuFLWwSY+ee3lOUFeWo7Sjzq3ogt00NWBy2GscjGMrhYwfPSzOZTmd3pBiPl3z9PqU81FG9+aZ+br1rgVz404o++sJHlpMkg8Gh6krZ2NTiBdvX3eTOEzpM+2conC6lSJoDGNPmEKB8H+lqJOcbm6wao41K0OOWFo2OxRrJ4fpW/uOvpl59cjrYtLHYOP3XoFNdcsev/GcCtTfGn37RnsPrEe1cXD1APLEpGTk+DG5BZZW9KgOcHvgB7JlVspd6hCvLyIIkKa1eAjS3ZJMu+ySrApc1mF1aZO81AnuBrJ0kCPyTwhpy4mPC+zzX55NfnOHZxhnbDY7YGM0FKK7BZ6j0Ht8zALYukUC3T3oHvLpx2M+QT39AcPlmnpoTLGOYOCiXKizEO1unwONHs3w3feXOP37tjjn5D084G6gRRFjcog9Yym+xFBeRe5WS5VWHXBsnP/cCAa/ee4Xc/O8uxC1MsJ3UGnqapBI0M6L607sLJXKZi9cuPa24f4vR5CfCJtP4EyItgcz2QkyeM1gKd6upd+YdN5rcnaO5/+DCvuvWa9771VS97w8Jy9y+VKt8S4FGU4HmK5Qv37+gtPbUvjVfROkDIuKhPyAucyi8kKvcSxJDXajMG+IL1GdfbY4VTlTqJfMWQxWNWNJSB27kmOXuneDpxnTs6IQhCfB3SSyN+66M+H/jcFs4uTWNUndkpxaxvmfINjYy5G0X6XmZ1Kpk0ybzzAty+y16GccThMwH9KGAmyFycSulCnuipJnuSVBLHmnZTs3dHhApG9KIWQ19Qj90MEj+TV14mUXTuegj1HMGrYuPUgJ9484C33n6BD3yuy/s+PsfisMlQ16hpRUML6soSJNaxucyaT2RZ3lAdn1dlclhHrlTP3RjYJ4CMO/fYEuSTvx/HU55QEhgk80tdvvHQgX0z7WDHG15504k0iVHa47lu3xLgaXQOYVsbldIfXbn4sBd4CiUSdHYgxwEuig/uUrsZsMdYugL8atVacUDWAl2IkjGc9nbaU2VLdMneWZWcSh3AtRsi5HsxNT/C9yI6o4hvPCH54zvbfPzrc4zSFr7vM+cLpn1D07c0AkvDL8FdCyRBIAkyaeISQ5kzkQHc91zm8/h5yz0PN4hij6Bp1wSY+a1MbbsqvSh2c19edXOPj3y5z6EzTYa1fLiRxU/Aiw1eZFBKOt9aCqSQ5XAfSjJJjet9bASazdND/tX3DrhyV8gf3dnioQNTLAybjJSP52lqWlCXEGQN4V5ur8q8pZCxO5NAr4K6Auz8rE0CtQrq8Z+J8d+PgT9z5ACpNV++53Hvza+95aMXFzsvWFntL/yNGfzOxzfJTbXHX7gj+IupdmMFIdxgRxdA5OWUsgLYCugnJEr5+yqoS0ZfT5aUxT8WmTN5kVI2Rbmn090WrVIHcJUWckTrmE4/5t6nBL9/R5s7H5liudNC1mu06oppz9L2DQ3P0vAtdZ+MtR1z1wNJzVfUfEHNJ6vQMxm4DYHn9LfSIc+egbOdmkusZPp2PHFS1s8YqgVKkijSbG4LLts55MlTCYPYK+aQ+BEOfCrNJEqeqAE50ZlTuFWZDRmnrj78Ha8a8rpbVvjKoz3+4AttHjrQZqnXoCN9+r7GVwJfCgKJ6+GUFi3yuCYfgpqV/U4AvJoMqp7DdZl8PTBXfm4qr01mOqSZRMnjvm6Y8Dt/+qWpX/gnt77wuv2X3MG3GB70LQG+rX0iECb57X73yeaW6T5x4mXAlhXwykqNgizAbdYAunxN8bo8MOvvplKpjcjkiChckxzYJntMUTLFz90MGbPQS7j7Yc3n723x6XummO82EbUaXsujrWHKc508dY9MdkDdF9ldZiWnme72BUHO3jnAdYLvJ9T8CGtjvvpIwMnzdTbMCjxpMh0rykbfKsuZasmpYhh67N4seNUNAz75zYh+7DGMBTXP9av6iZssVa5SqvCrEXJMptj8vOSNCsb57fUg5B2vGPKam5f41Nd7fO7eBnc/0WK+02AofIa+RnsKnU068KTEEzaTWhaFqEjDakp//VvBxNl3LnQ3VZMhB7OL6XIgp9nPktxezM0KLMQpzxx/tmnsi3/74tLSlcDwrw3w5a7BpMN/sHr+K9Nbps8TSEUYaZJUZYN0ZHEQq2BfI0OMGGP3/CSUB2D9w1MNKPNtSwrmFk6SiAzgWqf4OqZWixmFKYfOwolzij/90hR3PNRmfqUJXg3d9mgoScuztLSh7lnqHtQ8B+6a52YSujJTWbmL7Pc2A7kpQO57rj3t6DnDk8cD8LxsmbeVFP2YBVGJQ8i6XARJ6sY5X7M35KodfQ6ebTCsCRqJIIgtoSKz9kzG3rmbkluQpVYplvXMijRGZdMH3ATfej3kh14f8qYXr/LFh/v82ZcbnDhX4+DZBtFqQBJoRlojlXTpfEBnjzmTF7KF0kVbE3jaie9LydxpBmhTvK545diMrbPJv9aCzaqwjBt6fuSphM9++Rk2bWh+K45+boCfm++IKA5/+oMfOTR96ZaAF14WceNlA7zAjTJOY0UUqWJEA3kne9b065hbTrB3VWOXMmV91rYVC7LC2sK40Q8yJQjcJNUkTbmwBF/6mubomTp3PVDn7Eqdo+eaEASohqamFU1taWrjXAQvG5zvuXFtDsT5XWZ3lQGcTHNn4PZSAs+xt7uwIo4vwIETDTw5bg8WEoWyHrxMcmROisn7Gj2u2j3ksk0DnjqWMEg8WrEg1OAnbtilqgBcSoGQcozJyUGTe865DEqz90gVceoRej7tesQ/fG3IS6/tcnaly1cf9Dl2OuCLjzQ4t1QjHXoYqYl9hZAy24wgez+y4BlK2TKB8nUDRvJA0/2FzSb8llZKlv3Jm6BdVzLEKUKnSJVwy1UjXnhpyA0779rw2jf+H//sx+yR9whx6XrG23MD/Et3/zFRlPKhTy8RhZvZu23ENXtCXn7TiKv2Jmydibl0T4iykiQq2TwtWHwc3OTMPgHqSQYvmbuUI0LkLVZOX3tBSpxajp0WPHlM8aUHGjx13OeZ43W6YUAYBeD5qLZHoAQNBQ1tqFd84EDndRp52ayrCw8yWeL7Ct+X2QVgS+3tpdnQfafza36MNREXlyWhDdBa4kuLrthsEwQ+7gxU+h2jxEOg2TgbIdWIfuwx0MI5HXFZMKaVGctASlHAKyOaUjIWTF4ZjOSlqhg/MQh9tsxE7Nocc+MlIcNoyD863uGpEz5fur/Gk8drHDtVI04UBAorFUbIypeT2XtXtUpZAGetnYhEq6a3yeFO0SxuM1BjIDZom7Jvb8T2mZj9eyNuvzHkmr0JezZDkp5uPv7Ynd9nrH7PX4vBP/DHX6A3XFEHjj0gQuPRjTSPH6vx5NGELz4YMuWl7Noecc3+kNfdFPKKGyKsEfiepd50zI0VYNwotVymFEElcu2b2gpbZ7XlQliENMSRZTByjH7ijORP7gwYxIrHnqlx5HTAYt8nTH3QPigP1Vb4UlBX0FCWmsKNM1NZ4ZFyrO17wiU9quD2JH4mSwIfAp/MNXEpc08bfC/JMqIx9VrE/ErKl+5r0ekFzEwJdObFywoO1nzd/FwWWlwShooNc4rXvXjEFx8acqrTZOhJJ1M0eInFi3PPOvPYZersQqqzTmTxHsbqyns4oPupItWKxFNu7EPsOSvVi2n6MS+9JuFFV4a85eUjnj0tefyAxzBS/NGXGhy/4IGQDIaaNFJ5+SZWV0V5WWJbqa2oMHT5KBKLMBabgbzeSPFqBmFTXnlbyGtvCrn6iojd21OmNMy1JMZq4lgTRpKF8wfFpZfcrs4e/Vyyfd93/NUZvFmb/q1HnvCui20NUQdrfIxJWBgGLPQSji8n3Pd0yse+HLNhJsEaww2Xx7zj1UPXaJzCxmnD9deENGsZa9vnDkjI/BkhLZ2B4PEnPJa6rmrvgQMen/l6jVGsGMWK8xd8jNDE1sMID7RGBBotJb4S1KR1Hq+CQFkCZV0NuM48X10yt5/3ZRbgVlmPpijY2/cMvp8XaKUFe/t+jFIRX3tU8clvtlC+dnbbmP5+bgbPvXCnwyVxqhiNPN5065BPf6PLH311in5So5npcC/X4XGelLFFt5AQ+ZWUl6HJsZxDAXCTdcBrx+SeViRao5PUAV2lKOUG6c/UEm69IuHFV8RYEfK2VwwYxW6c2198PeDBAz71QLDYVTz+lE93IDOVNOGLTjIZruiqWTNc/4KIDdOpK5lNDe949YgXXJZgjcPP7DQoJBaPNNH0hzobXaGJY8W+LeK6ZnP2t4B1t4xYA/DTCz12bGi2/+/f/eQVJk7UlIa+VYRGkRoPKxOwKcakhCbhQsdwYdXNJHn2VMpnvjYF1mCNZWom5YXXxrTqBlPNxz4HwMlch9W+4qEnfbodhdSS0EhCqx0zCe364KRGSI2UEk8Kasp5uYE0+BJ8lYFZlTP6HMhF2fCgXSNA3nhcBbdj+Kys1ssZPK3cEwIdY23E2UWfKKwRTEn8LO2tsqq8sSxm3tHDuIWaM2tqFFHsMdNS7NwQ4YsRwyRgmAjq2g3BzGtI8oSWktXyVlm8l3uPzAAwpsyeGlPpjM9GPyRpljdQ2e4aCXGSomI3ZkIrp313bDDZimG4cteIyA6R2tDpCB56UrM6kKhcsVCVocUZLn5iMoC/6LqYqWmLzca51aVACfe5U+OTxpLYuFksxijS7HmSasJYkaQoa/pXbL/07W1rlrtCzn5rgF+4sMjy0sp77n705CsWVgbUtUQaiy8gFIJIeqRWY00W2VpTPCbW0MmDA2nprhjO31VZmsa+7vhXLiqoEFghMPmWC2Q1p0KVQY6UKOFm7gXSpZx9abMtSGw2/6RkvBzcnnYd9W7rPQpwu7YuhZ+B29cUJaaOwTMW1wY/y456XkwQxJxeNHzoi03QPp4UZYBZyBOxhsGr3nA+JNSBzZ28KPZ45+uGfOruIc9cbNFPPRqJ25TWVQHashNH5TmBMtgrjmW+UhhZKfDK76aohdFa4aVuXoqXAd0lzlJnwSpnwbrgPt/GMUULi7ApGxqG77jNgkwLRwVhmBDf5Tm35aM1GpOUMVuSSqIsnnOFeu7RxSoqm80iSTKwC7OKDZ9+Rdg/8R5rk//tL2Xwj3zsiygp/fOnzzkWUk4baykIjCUyEFlBLAWplVkBjS1Fpc2DBgfqtKq58vV5Dajz5+UymwcvQsqiBU0J8IVLK/vCSQEtqTzmTbWVQiJNZQ6KA7mvy676EuCykC2Bb4uWNt83lcE5CV7G3r6OkTLi5AXBQreG0JpAMiZPivR8JSmSH4lqU0dVHyepIko85tohu7cMOXghZJhqRikEqcDLJoBpBSqhcJbKfIEa61QoPOjsXKWm+n6CNDXo1JAqidL59uWq2MnODQmqAtugRD4ZyxTWrRB2zb34BHlxtx3/XEVCcCxJmNvOuStXBXg2WLUYsCrAGrqrFxkevsNfL9+zBuB3PXoSIWCpM8zarSxWZm3/EnwDicVNmLKiuKcWUlRRD5yfRVu9gseq2bMfC+GW1aK2W2RlsNm4BwFa4BIOIgNtJgHy58XPMrIvS0EpGmx9JRzYx8At3aOfAz0PPim2J/SzJolconja6VPfj0mI+dw36lxcqONNKfxqDUfVQWFCkVbT1MUIhjLpMwrdBNs33tbnG0+M6CY1BlpTTwxRlk5XsiyIygvOHNDyd8oDzTKp4qzDbKaKhVSJbB6NIFECncpsF7tsf6QM6CXA7RjQZcXlkpMAB1ev/hyZjrIsowrycmhqXldjbC5XMlavTNsy1mVyPXr4PDWxUqwD8Pf/0Z1Mt+ov+e0/u+vmRbtM3XMnK88kJakgla7dyDdlCjXNLK8ipUqlapC1Kdwc49WTnycN8kSCwgE7n92Rg13JUuOqHNjSrTD5KIQqsIs5KArXj7gewPOAM9fdOpclNtPb47XkvhfjexEXOoZHjtRB++hMnuhKgVKe7RMTCHcns6yfLvtSZeGJx7HHDZeGzE0P6aw0GCSKhgIvcd9FpW5wqYqrAMeBvHijahlFBnZjM0YUGGVIjcAzglRJUmVIlSDJQJ5UitfycgiZO0Q5qLNgVwiLJL/IKAvkikK5dQsxyuw2ogA3YxO1crBnrF0kr7KNe4VFiAQh6zc35r7jJRdPvPHezXvetD7AtYiJY/sdu6bt9f1ajNY663p2TcGuiTjzb2U2wyT3c/MWpGrF2HOAexzgtgB4AXRRgrpaB1EOE8p+ltWA56Werrk471RxskQV3SslsPPmW8femebWFHo7twQdY5fg9orqxBhBzGe/HvCNp1rIQONL4eZvFxWEZRtdWfE3mc0cP5GFzjSK4cjjxVcP+c6X9njfZ1tEaUA/ldRSt1eOlmW1YiFTpKwALH+n52JyMFpmvZCiAHeqJEoZx+gya0msgLsA+VjJRFlGkRfDVQuzqvbZpCWe/zTHyySD516+m0RbCY5ziWUlq11FL25fvzWIvsMY7l2Xwc+fP0er1XzdnXd+9Qc8s8zmGZntMVlua6FSQSIrDaNFpVelcyNfdrBj4K7aodUahqIMk3FAqErNgxRUdG2pcZXKmZyMwSnasMZYPOuG8dQ4uN04hQnmzno2/ay9ze3yVkoTd4+JiPmzr7ZJbYAqspfVALPsa8ydjTENjih7FPPZf5ldmGY2mMDjHa8c8OHPhayamGFaY5gKvISCxaW0bkxeVnTm7MJJLSor1qSogFyQ6myUg8pArl2roU4lqbKo1FUwugBTloDOWVxWyyioyJTxpB2Vc74ewMuCrArAix6CMldQWJ3ZFNsolvSHAScvDhiK6AduuuUVd50/f/6LW7duHQe4IMEk0aWeCvfVvZCplqY3cMtdkasSFmEEyuJaiexkl4YoNPfkmIHq5TsG8CrIKwCXE88nNWfO5NXZHvmeNCoDt1ITw24yYGslSielsANdx71rTLYZc5cBpq6wd+BFPHJEcvhcDas8lJT40jhJVa3TqGiwSRclvxctfJMnMlXEice+bTFXXdLnm8/WiZXPMBHUJHipRSfCyTmRdeEkmURAIjCMv6WosLioSKN87mNe2ejqXRy4s3Y2ZSvgzmuBbFYmkIG7qPK0lCW1k0Cv4MBOHI7qir9Gh48zuBvJ7Da3HYaK3kBx8vyQ2nR/33A4unQ4jL64hsEXly/geQFSrNKoWVZ6sgBKrhfz+mtjBKkYL1LPW5LyD1n98M8lT6rP85ppSbm8K2FLsFekiZMBwnXP52DPOl1yJs/3vRzf/jtj7srwH9dtTwHsIltZMHeKr11ix3UFxVhiPvbVBktLdUSg8SV41YtwsgZl4sRWtXeVVce8aaOIY82GWcnbX9XjkSNtwrTGQPnUU6fF83JWJcnAna8VJvPE88LcTKpM6PF8wkF1W0FtyKRSviJZlLGU02hl+Vya8jzJcebOsUIF4FWJst5tTbxgS8mSmurFL4rZ40nqJPIghOVuh8HgLMPhaK1E+bXf/gjGSmbrPaK+JU6yfJhwYDGVhl8jLLIod8w7dsb19rfK6YxPTyq1eDXzN87eGeAzr7fQ4VUGV+VjKVckSo8D3NfZACAv3zowy3Bqi1ek4k32PB27a+U6d545CR+9s0UofZRUWfZyfCbLZAZz8sRWj9O4Ds+0eJbMCFLN21874vfvGPDEsTqx8hhIiZ+azD0SyNQWo/Icm4qi7MHdTPZech3wTILbTfbVJvfa3ejrYlinLLuoVMbgiagEmqLC3MJWzvcEi693PCpJsLLkurq6VUc4u2MFLnbaPCfR9kkuHH+KKC7/XQ3w5LPnuOayrY1/9e9/e+8zzzyLNCE13+lDCjYFlJN3QlAB+Hj/nfu03+I6nfiy1Uq7SYCXIBcFcEo2r4w7qIw/qE5t0jrf5DXT3moC3Hn63ssbk42bGVK0iOU9nUl2j1FexOGzml7kg9KZPLET5bHj32uNi2Inl2LGU+mmmvjRND3BFdtHPHE4IjUBQ+NTS13Nts40uBJus9Z8/yNRADuv+zHFCSi9Zpe60NWJB9YNa0rTLJ7JdqeQppwQkI9dTorptOMthGIC5GLivH/L2xoWLzvCqnZqftykdMOMLtmWMtVWBMEle2991U83kvBfDHSwxwH81OnzrKysvrY5Nfeui8sjtk1nARAV8EmnSYQswS0ngF2yti2uyMlCo0lpkr+WYhLklXapCiuqyli2sUdVDtmUFVlS3cXYU2ReuAO3A3A5FMirypMqe6usr9OPWO4Z/uuft1ga1hCB5+SJtGOrSjk456+yJLuyWWuqJ1EWqfsk0bQbmp/67h5feaTNUugTSc1QSvysh7Ic+ZADSpQkIkxRRmsxGbhNVtJcdVZExuC2CNJzsCspMga3hWuTiHL+TK6/S/auTKqtTEDIX1e47jlZvNrtNQnyfGRz/m/kF1WgO2zZ1H5Xb+Wpe9Nk8KmCwZ89eIAg8BksnmbbdEq95mOzrFfO4DJDociCSpk5JtVxAZWH9Yi7BPg67J0PeikAXskG5qDJ3YlcNhUAV+X4MVUBtZYSnUkSXQA819ymCCo9bQpwe1kvZ9mR78DtqRjfj/jTr3o8fbQO0kNKSZCfdFGe5LJ/0X2556wmrLB5sVNFRaYkxrWcJYnHNfsGvPmlXX7/jhpGBwylTyBFkfRRUhBXZ31PMLmoMrktM4ljkw8UKOtWBWOFA3c+JcxAWsxPyV0bSCvvKbP3rc4bL3U5WfApxohuHQKvMHllpaOUVuM/y5q3Q82Jc3VitcTG1QMkidMpGmDfjjqBH0BYZ7AaMIokg1GKMeMNphK3fOQNCbLSMPyct/zKrfiExQlYD+RVeVIZCll44n8pwGUJ8CLRkwPcujnZmRTxVOmWeJXhQKXmduztaTe1aqVj+IuvtVjsBFDzJuTJc0sU8hqRibO4rm1XTWrkVXOJZqat+K5XDPj0N0Ys9QMipRmmMrMnRebeiILNyja5UodbW3b9mILNy1hK586Kyp7L7HU2/ro87tkueZnel1mD8vi0A1GcZ2ce2PI4/CUrW/4hSyYXYG2hyZkAfJIK+iPF4opHrGqkukkUhw7gvZVDNJoze04efeinw5WzhHsUB09YeoNxdy8f25XLa2vXfsr1c1XjXyhn6mLJkvm/L8ZkSrHMyzK4LA9wVZ6IsQ4XN9ydcXDnOxvkzK0qzL2GwfNxE+XICa1c5vL4CcGzJ2sYAoR07okWZenAuIMiJjpdSrhNyrrcwis1JpXMnSRJNVjN/t0R+7aOWDpYx6a+Y/HUyRRdcXHKBFq10CsT3HkZLWS1Q6ISfLqxe7l1WI1tlHEEYyqFZKZYaUXJ3jnohWO1qmwqWxArAegkVgosifHnYw3qFWxm+Agjy/Gz8PTJM7y+eelP3/6Slz32wCOHT+jT8zF6Jdqy2u29brr9CDLYyPGLbaR1/2EVoNXO8OdGc4n2MQehYG/G2XuMwSsgr4C6ZO7xofbFoyIbBSzKmpSxe7altaqCuwLybL96T2WsnbG3yl5rHaNUzOe+2eLwYh38Up5U3ZPqKuS0Id+SqsYH31S9X1naYnkZbaS5ZEPEG1884MFnGmA8ktRpcS/Nhnym41KpXCnz5TO3DWVmDowHcdYKjMyey2xVkfndHfs0WzGcPKnWwpRgFyZfRURFLo27KXnia5LNi99XM4O5XEFUlIDNigAh8FKa9SFPnxzy2KEzvL190+s2zfS2KIYn9PlFyXQb7nva50OfnCGJa5gBbGi5udJKTujn/MQ9x6063mvyvxuzB0XJ3AUgJgK0KqDzQLecCVKRJ0pU7MIM1Nl8wnLbDtYCW5cDgooRb9pkIE+cPFEx9UbENw8pPvW1JsORDw2NlgJPjEuTyc8/SQxrAM6E/p6wDKu+eJxoplqat9w+4o5vDHjgkI9tegzTIKuwzIvT8vevWnVVxDiQjzOkKS8w5dg8lU6P5wBPK4k1U9iForIzhBgH+3r34nzbcVyM4aeC6gkCrX6LIlciLYGXMjcd8s7X93njrT1edFVMq27xhEF7IiVQMTYWXDzTolH3aQdmbBnNwScqH6B60tY4JRMfanwa0rjDkA94LA9ElcVFJcCcfO6ALfM0vawERKpaNuva3/IRyjrbhEmrcaB7BVu7u1IuwPT9iDhKueO+Bs+caoDnIaQqynbVRHAp5MQJrRyj4riMBUqZzVrd3CkvF82r5zItHkWaK3clvP62Po+fqBMmPqn0GBqFnzLxWSpAYi3I7cRnQeUXm8EogcoDOimwKjMVTFWiiGJUdjHL0JSrRo4XKctgd72LfnKVL4VcRdKM/X1Wu0Sp+aXETemtN2kHGpP4rHQhjQX6wfs+R62mOXWyw+ZpiZQGX5easkwgjLPtem++hsErH776hcpRCvlSXurt/HnB2qJkbCkr4K6M/FUFY+cALyenFhIlY27H2LZgal08ls+9LLjUKibwI546KfjiNxoMhj40PaTIKwcrxV/rZTErcqx66ZdFpDbTwHbcTakmfCoFWFHs0WpFvP7WkE/fPeLxYwFon5GR+JkWV8ZtsFsGfCBSnIMhhCv3rObKVenkaEUpXaRj83xVyTPJxjog5zpcSYEwuR9eOZfZz1zepEpgldhgHfCOs/jkBWCLfx9pEdmq5zaRVVgbYIzHgW88QS88iZIJ+q4nzqG1YGU1JUol0z6ZtVZ+qeoAm3GLrwTppM4efxRrQD6uw0XlQqoCfIK1s/R8PuJ3krXzPYKK57o6H3wC3Nndy6fQZgX+WiXurmM8LyaxKZ+9t849T9WhpkG6hmavUsI7VhpbvVdfrHMbG2FGXs5K0YycVuqgc6CHI4+XXzPgjS8Z8PTJGkniYYViKDReWtbQi7SigccurbVMXr6/RamcuR2bu9cCaUShw1WWC5E5o+fnqwL0UoNX5Umpx8dWtUKbj4+fqD7m/60FhLSFxBICROL2iMJCs56wZfYEU5HDqz5xxsMK9+FqXlTuxpXVVZfSYOJKnARsZZ0RE6AX2R9NBpS5RCkALsZZu5QpVaBX0/SVe7ZjgS4YvHLX5SaoOaC9Cqhz58Q5Ju5RqRjfi3nshOSjX20BPkgPIRRekdyxRXHVZJJKlAeEvJ5wLHIqAqcqc1c0eFZcZFQ2+iEtexGt1bzjlUO+dN+Ih466SQKxUQxSkRV8ZaBLM9bGrll1889irXUsXgV6dlcZ6I3M9vPJg2JTZpaFzd4rfxQikyoZKGWJj7GdLgo2zz/XOqxeCUplhRBlLqtyclAUkwR0pNgyp6jV3PHUeze6/yiOIQwpAsuqBBgHX/7mYmL5qDKXWOcKrEqS8nX1wpGZtSaFcHJlTJpQ8cLHQV5ux1GCuxyAX4J7jLUrjzrX3yrX3wmelxCnCXc9UOfJI3XwPJAuuPQr1uC6vv06GnwSWrbypGiAqNSIjFUXphKjsuxmqgkjj6v3jXj5Cx2LD1PH4qHwGRnQacW2S3NJYN08tAl7oihtLkVLweBWuVyHsrjspxUIK7ACpBUFi1tRavOx45ERZ2ka2HFyrK7sxfGyY8SZE6apSBwpRJFNV9XCMSOIE58o9dHaw1qL3jjtmnjDMKXbz/sfq1IhD/zcEiLHPliZsBnT3MIdvKIWWlCRN+MB5bhjMgH0av2JoNh7p9y9eBzYJdhLkI+BuzIUv3BPVIrSFYBnEsXXMYfPC/7gjhZh7EHDy+QJRWuaGsscVk7Umit+PX0yDvSqTDGmAnS7nhbXNAPJD75+wGfvaXLorLv4UqMYpMpVGaZZ8gfh9HeajeWYWEmqTYV5sCkr0kllGl0ai5VuoyorhQO4qZwzS8Hc69mmUoCZtIcnAscqPtbPdjtMmfwCMs6+TLNy4Sh2TN4PA5TysdagPvD+39zcanj/1+nTp/cLbGVyaTVDCFLKUi6IXJvL9bVy1c7LnwuR1RTnP5fZv52PA84elRyz/Cbv+ciEqsetcyuwcEmoyJHKMPzKXj1lMVW2+4OOi2YGT0ekMuL3P9Pgw1+chiAAVUMpTUO5mSu+skVlopc3OWetcWUmtVI+IGV5bHMpNSaxqAzxL+MIIUGqaruYey6sYeeWiLOLkoef9EmEBKEwQiGEK6WtmgKTMVO+qhSSIP//yZKLrKCu+rPC+WFC2ljIPZtqfFHtQR37b2y+q1rZrmYR5TY2uSTK3nys26dan2Lz+Y6CMBL0hoItu27Ysuey276sDx8+Ob2y2n2DMTGBL0nTSpboOYPCcV1N5QCu1eXVgywmmHvttnXV4qrq82ozb6m/bUV/ZynzqjwpwF3ZiErZCUmSVwrm7B3j6Zhnz0k+8pUGSA3SsXfRuV9tmxOVzzrJOJXjNZ4OXgccxdYuZSYxNcJV+uVZTZul71WmxVPN975qwCfvanDgjAcywgrJKPXQZPUi+bFNs7Oa5omfqg7PpYnN+mgtqgJ0lTk9ToM72VLobuvew5rMH7cVtp5gcIE7VkwcG8Pan03uopdWt1Ihi90Y1/TWumGmwzAmHPbesLp8ZlprFWe2mJugL8TkDsLP4ZpMaKgCzEUAUfn7dRyTySi7zISVz9UY2J0cKctlK+DOma8SWCpZgrvoEs9GD2udDcvP/W6VoGSCyuRJqhI+c2+TA4dL7S2FdN530UHDhIVaDaYmjtmESrFjz8cbkMc88Ur1nDbCjUuQeQrfSZUrLw1500v6HP1IQJQqEJpUaIZCoNNKVpNSopTNcxNyxZa6PI8JlHJTFVT2e5HrXmHLFL8AIx3wjVlPoohSQ9vy2Kx15arYWZ9gi783dvy/yb6JMYIotqz2IqwcoaVwI2qTNN9fslzDqv/xWEDA2jcc00+MA7lwVirArwYkY48Tqe98cym3hFP0ZCqZf94KuOW4/s7Bne+ypvIgMt/iRBq0LIfmK5XieTHHziv++yfajKSXMbiudM1nq8ea4v7yol+D6HVu48t35mZMLMPWVDV4mdl0E540SeoRpAn/21v7/PldDY6e06BiMJpYeAyFQKX5BWeL5EhpeVVFB8UUBF3V5QhkBnYpbaHPlSwDT5Oxuc2Oh5HuvynNg7XkNsnck2CftJ/Xgn59kwOyjLVKUDJGHz2bsrycMhilTLV0Qf1rJEpVv30LcE+y+eTVNwnsSZAXjFgU05ejI6rSRObdJhWJkm/6qirAzu85qJWacE1UPp4swdMR3cjwvk+3OTsfgNKZNSiLAUNV37t4Xl1ax07GuPW1LtCrUqVoPKh2seQpfFnci2YIqUgTzfaNIT/25h6/8gc+ndgFBNZKQqOcbZiKAuRjwWZuHuf/b8fZXGUJqKpEsbJk9xzwMk8A5efOUgaCouqArGellmDPgS0rPy/xN3EBPMfPpYBmDXZsFszOSvRsW2Eit1WHUqLMFE2CeeLqKV+vY/WsI19ERYJUtdaabGkFzCXgy3ap8rFk7sIelBal8+1MSkA7OZIPsymlilJJ8ahVjA5iPv7ZgPd+rE1oPCdPhCrkSdFUvF6BFeOypJqNey6Ir60onAze8pS9xRhTZDfLAThuK/CaTviJt/V59qTPBz7jtDgoUiEZmcxNSfPPZQtgl+KpFE22yK7mXrgdKy2Q1l3kRRAo3IUghChe58fHVuvSMzzkFYhrWbskUPOXAJuJ411gMcNTkghWup6bVzPTVqSRptX0kFKVp2TiKhoD9hr2Hgd9FcDVf0dWPsQaeVLtCqkGlRXNLdcFdw5wUwaZOYgrQHcsbco6E1XR38rNGlxegT//SoOVMAe3A7gny8la4/KkGghnyzHjgJ/Ed1VrT4J8rKov33LRVF7n4M60uDIKYzRJqpnyU9766gGfvLfBUk+BjMEoYjQjIYo6lby6sEpKOchLL9xtV5J/YCvda5vrc+mAn7N43jpms2snB/ralTrLVtoSyOUKb9fFUlV6TAJ+DKeV4xyGsNK1oAw635bD99wIXmvtGKiZ+AcLObIuyCcDg/GrrMp4cuy1nZAnFWCLKrDHAS7lhDSRE+DW6ViAWd2kyrF2yd5eI+GzX6vxwJN1TEV7KykrhVXj9SZjiYsqYCp3MXHw1xzYfMRGhcWrJbSmAvwi6LQSZUtfPEk9tEl40TUR33nLgA99zgcVgZBYIQiNRgmBggq4x5l7ksnLYLPMaKo8AZSzeSFRstVHlgDPz7OtnHMjyKZfOR1Tmg+VNL1YC9qqDGbNz9be4sQSxilhnKLnV1JWOoY4sdRr5ZmYPCnjAF97ReUPa0z6CaBXA7O1gebEnvP5o6QC6gkWr1iDVXDn2wkWQyRz5pYVoEvnngRezNFTkj/4bIsLPd/tdy3doHclKHdsmLiv0d1VS3Qd9p68jSV6Ksy+Zp/RfEZfRaakqds/xz267U82N1N+6Dv73PtkwNGLEkQMKAySkZCVTaQyUOWSZT2QW3fM859b6X4jrasHL+RUBdwmtwgrWxCWYM9kjKAC7pwgyuBXVD/TGpk8Xma7Lk6FKzWZbUs2zkq072kCT+Fr1+L1nOdjvauqAvQqa0MZKFRlCZWlfRLYhQ6vDvipNLmqfFyBshUPvLL5azEv22bSoxpQmgqwE5RM0Zkt6PsxYWr4nT9tc88jdVdpJrXT3lJmXTvl/JWiHDX/nExcxNWLfOJEVI/Z2gxm6VqMbX9eSBNbKaN17WYmd1RSQyI1KtG8/MaIH39Hl1/8HZ8wkS4DZSRJ5qpIM97lsx6TjyVybM7emV8uM3YXeULHZqzugGmz8mdL5qaMNSDnTsv4MRrX0pXuH1F+oiri12BUlAdVCNc4HUaCUSjRc1PuS0813R+aSiJi7N8Qz/16vWCgfG2L4DIHfFlbXukfrI49E2vZu5jFoUqwFxr8OcFtsp/njJ2zelIwuOcnfPUhj0/e0yCMPKhrp72lKtk7v6D+MuauoLhUKes3HVePcVE+a5kAd1USsKaMVhonVXKgJ4mm3kh468uH3HnPkC89pJxtKFzXQiw0wwyjjm8mu30qiMlZtGjjzHR5flHKCoOTzcoRpROUmwlW5A5JdgFUWLpsV1xLlGOPxceylddr5UV+7IajmJVugvJT9HQrxiYJrYbbxSs1lUKgddh6XYBX/y4HdeVDToJCjnnH44HkuFTJQW+y0RB5kqUEtswCSVlsKVhagmMuiirBrTNw+17Mat/y2XsbHDpfc9JEuJJYUSR2qGyIuhbkxSpUXNiiAvRvoU9ycGepaio14eOd49XUdD4321ScFIkUCpkapNTEoebyLTHf+dI+Dxzw6UTSARynxyMUkoptKNYBeQbcauCZ63AXYJYltZasA19mYBaO7Z03ng/hLJsTbFWa2BL4awD9HCphjCGqf5xF66mBwcjQGaR49RR97wFLPLSEA/D9kl3XInrdp457Jj/YpAZngq0FWRmlHQvWcoBXJyiJsaGWdkJ/m3L6aSZDxsGdjrN37p5I1ylvSPnDz9V57ydaWKGd7505J469KbV3xcasDgVdw9w5yNc/WCWAKM7JOl54VaZUW9lyy7AC8lRhpCE1zlWJUw+pDD/xlgFHznm895OaOMlqDIzEIAiFRJmJEl4xDnKVfXhVXWoqTCmlKLKbuZOiZH5x2yzYzAujHFtbkRXtFdgowV0t4luDqec8lqJy9MogtFUXXHtpxK4dQ3Tbk/RGkpWRwPPKwOIvS1BU32Ms6Bw70XYC5KUcGdPeuURZE1yWUiT/mWPuchh7/roMKDPGlnnGclKauAyX58ccuSD55F1N+n0P6qpk76pzsk5b2hqpwlppxl8hyQMTjD0G9ko2U2aPJu96z6SKLDOdRjotLqUmjlNazYS33D7gjq/XOXI+y5Dh2Dw1ghGibBU0FX/Pri9XLK7uWmXlsRZXt5J74kLmwM+B7HzwgrWtO8fOSSn7RnOs2Nybrx6zv/T4lVdeqQYEtUATRk06vTZ697Y6y8GAzoIYZ6qJIGk9XT52YY0FCePB5qQcGX8+4ZwUs6bLncQmrUEpbbFVn1JVkJfMXu4tk2vwpAC71glhbLjz/iZfebTuhoNLzwF8gr1LaVIGTPlJcLJkPP08Foz/dW4VdI+VzlaclPF54jJL/pR6PBUSmTrJEoeaV18f8eoXDTn9eY/QuGpDjFPgCZqRwAWdZGSkss9gxNgJt0KU6fssR1FcndLJmbwuPNfnpgB5uXoLKzIw2wqD54tHFTcVlS3WHqc18WHeFCFBSEEYW1b7Gq/uo/ft3b561IzuqAXe/6JkiqdK+249tqleN2MAr1xxxQfNWLzwu6lq7urk2Kr2tmtYvBpUltto2IK1cyYvM5RpJlcqox9UgpSuU0f6CXc/5POrH5witbp0TqRGSIknGGtJG2dwOy6zYE1yZ1KyPCemxzKZ66fsi+dQzss2AiNKR6VIAAlFagzSaJLE7S/0sz/c5dAZzd0PSoyfsXiux40qoFR+zGrw5ZjbjQ8RWXLH/RP5z10VpHNV8kpBa91xspIC6FV72ApRnO/8GFWz4uPB5DgHVME3aXBKCVYZaoGHHzTumNuwdVVdefmu/tLC4lGt+XEtI3yfAuTFdnh504OkaEGa9IPLGvEMAJXKv2omsvSyoZpqL4LIiRS8rtSbSJllKwtrcB1wV73vSt2JqvRanlkW/OofTHHvo023KY/0s5JYV1RVlxQbSnnSrq3dHrtntfDFkJzxu8xq3qWqvqaMNSqPbmvuSpA9ZplWMr6VHRWK8od8wquk/J21bJhLCLTlgSd8VoeTS40spogLKrFDVXOOAW18QpedRFjJp2SGSwWMoqKWy5+N1Z9PZHjHR7XZyrjp6lblZIOS8ruhUa+xurL0Q4cOHTykZ1oJCIExKTY1yMzPGys4z4Me3PP1l4mSwfMgoww015Mm6zB3xT3JmVtUmVvksiTX36ZwUca3vHPb3OXSxCV03PPUT/mDT0/xqa81sbVcdzv3pGDvMe09rr/XdMwXkkWUB0CsPTgTam8tM+WAsWuZfPxcMKa/C41uy1S+kyqKVGjkMOWtrxjyzDGP97xfEwVJZXkVGOsRWdehI6xFWFFpbctBXqkuFBmT5yDOKwvJJErWXWMNhUSxlXiryuBVOTtuVIwndor3rsyfH49dqhsuWKROCGMXiOtNcyFCCNIkJgxjjFWkKcVkpfxKsWuAzprbmP89GWQ+F7CzADPfKaBgrrE51Gv3icmZWkqLzMCduyilW5Lt71jUnKR86cGAD36+ySjNpuDL/O60d1FzUkikdVLza4C+TsBZEuAkxU2A26EkHyMxxmQFsCf2rZGV0RKykgwSFpNmUkUYRCZXAs/ww2/sc9/jPl96VGYBXW4fClI0I5tzeJ6OzD5IQeluYzCkq49RGZHl+Y3CNpRgTSlFqiBfaxM/R6GerUgUsY6UqzB67jKl2WTcOLFEqcX3DcZa9Na5DkII4iSl1zeMQo8oVtn0/GxUrWAc6IVftPb8VUHtQF8tTCqnLcnKUlpl7fX1dxlQlu5J6X2rDNxSlZagzBjbMXmC0jGDEH7596Y4djbAalUwN1mbl5cFl2PszVopJtcDc3EIJqLMMZSPg9yuszxXHZVip7pidrcYX1ULPe52ZBDSIPPEj1RuV2OjkZHhku0x/+ZHOtz3MwG9UfYFTJHyIZWa0OQrkR3/HsK6oq+8sjBP/gg3bdbmCakcH5msQpTa3KX5cwYfxwN2vDNnPToYy/bm4M7kSWrcPlJRAv1QwMg5vtaCFv4UQmpgFU8vIkTbfb18V+H8H0mdZ5mDfN1PUZUl67J31Qu3E0xdAr7qlkwGlXLMJTEVsJeMPX53ujtJ4b99vMWjB2vO85ZlUgch1rC3ErZSgfccLD0paYvyUPGcfL3moFVlSQ70PJGSp8zHpMpk4qey3Z6RGFkNOrMWN6GRxnDD/pif+p4O//lPp4nSnMVLik2MIiTX4hmNSbKyv+yzS1DZlh42Q6QVFckiKmAvAklRvE2ZRa2yuqWs4s3+dvLIVY7HOLgtiYEkhWEk6KcJO7c2mJtuEycp+mL6/QRei1Pzj9I990mu2eeuSrRxnySR5bukzoYpRhxUsS2yBXcMCOPae40sqUgTMaG9813DqhKlyt7VDUoLN0XlzO3uMg8uaylfvj/gAx9v0Rl64KsKuDVC5Nq7wt6Vmu+qi1ICe50ZhGNBWLmp7RikJ5yo9fR4Lk/Gpl7l0mTMA88SP9JmtSm2lCpGkgqFlMbVqySKds3wo28b8PDTAXd+U0EjySzB7C4FiZGMKMNJu54WF1nfZr6QS7f/Zm7VYYprpvDM3bkXFfYugT5OHLbouxATxyS/p6aUJDm406yHdf/OkHf9k2u5+foX0O310ds3NanXG0SdKbpnphmFrsy0yHRZdxm7pUcUbUZYW5QrTNagjLdx2TEWr+7lUt2Cbo1Mkcal5ZWTKKX+Xg/clWRObg9Kl9CROuHgCc1//2ibI4uea4MXunKX67D3c1QMwvpMTrWA6Tn828oqV2XttScwK3ai8tq6Zt9qheHY80ktnmU2hXQlte4caGRs2Teb8L+9vceJC5rDZwVWVwAuwOKRWMnIgjAViIncCXHuVt6nZo3r0cz1nDW2lCj5dysCzuw842K74jhWnlMBvq28fbHZQpHZdeCOEwdwY6ERGFQcsLoyzUpnmm5XoTfPxHhBgtk2xK70qAWe20bOCBA624HXfYKclfNlZE36fp0ak2LHrVyCVCyusrCqTMlXQZ5LkgLs64BbVlm70N3u7gcJFzqCX35/m09+tYH19JjudtqbQnvriixx9er2W+vv/IRU2KZ6ksofjh+rMdZe652Nn8jKn+Qp+6pHXmjzzBtPjUAYtzlUIVPyoDM1eNLwllcM6YSSd/265OKqgCCjWuOAao1HnMmRor0m368mTwJV5Ak5a+fsnutyUVaT5qB3P8+6/e06ZJGxd1UFj1uH5fFJDcQpjGJBYlw17OFzEScvpuzrGVY6Bt1qxKiACzPt8IuX7PJe54kltIbeIGB+pUkY6XLJrEiRSVKiAuwi0yeqvmwlqBRlMCkmHJOSrStMXtHdk8wtZVr+ruKceDohwvCZbzT58oONstZEquxesnfRjiYrDC4ngstJ9p4Adv79J5m7iDHXSwNXa1HWpOsziWDKctRqpWExKzAHthQIK92AHmMxwiKExEgnXYRQGGFIEkOgDK+9Zcibbgv48B2aKMmu8lyuSIG1mtg4X54JJgcH4vyCcIXgFJuW2by2RZbfR+IuAlEAPsNERcYVgF9nARzjgfy4WwgTwYWupDMCYQ27t26gG9kvovSFUQpaN69n5dTvngj82n/tJBte9/iBkxjhM9eA2Uaj2FHWmMqE/YkT+K2CyiK4LNjwuZyT8U1Giz3RKwNvngvcpSRJXbZSxyTC8Om76rznA23OLFZ0t8i7dRRSuIROsQ1JRWtLUdlifDLQRIyzdwH0ickDjD+OUdNz4L6sQ8m93VyKWNZthBACabOB9gWLy+wzZ8VYwiKMcrNFhCWODDvnEt71Ix06I8mn7mkSp9mVbUugW6mIzFomtyYDcS5RKprciqxQSzi85HtlFiyeH7eiqC/zwitOSvVuq8czO3wKQLlNs4SEy/b02DA1oD9M2LH9JlY68X/9vY985cS7f+YfuD167ngAWg3DV++v8YkvbSHwa1y3x/L6m+o067q8ArOTPcna+ZeQVH3iqiVY2dd8jfZex/MWZgzgDsBVDT4O7pK5XVLH81KOL0o+8Ikmh44G0MwZW2VHNrMFJfh5Se6Y9h6vfCyrCCekCZXAUozXfa+RcMXKl5/W9YGNNWsSGW7Tr+r8wnIjsCrYU5GxeG4rGkkqLSJ1OtxZiM5VSULL/ksSfvgtPR580ufEQmUJqvjgVuo1ILeSrHGgwtT532SC2RaMnl0IOYby45FviZIxd+62MH6YyGvAxmqbpNtcyteCzXOC19wquG6fJUlGdNIekeghcJvBaoDp2VtoNRvMTtfZWJunVZd4VnN2wWfznKXmm6Ln0Vk+tjgOk/sh5omcSYDLAuiTmcuSudcGmGadADOtsHkObud3S+HS8cs9wW98uM1dj2Yjj3PNnSd1hEQK8HDSpJzIWjoo+WDN4jtVV6vK6yqLOzaS/FVva5I6BZ+Vw5fWBKAZeOXYGDNKYGcsLoRzU6Qxrm4ly3CCQghDKgwMDK+4IeSfvrPLf/i9aVaGlatSUrB5weRFYGEr0sQ5KCrT4VQ0eNEsYco9e3IbsSpZCvAWpbvjDFBdEV2Jgxt/F3iSTbOaNJrj4kKTei3i8suvYdP260niYQnw/ZdsZe+ebXfee/dXfvUFl9bfJUXCTNvD0y7AdNkzW7QlFQye1+E+B7gdcKlkKsvneUApcvtPTMgSYYrU/FpwpxPMnRaTqUbS8jufaPH+j7fopXrCNckDSzdm2KvMXHmutHyRjCjAvnaEdHVJrdpbkzryOUFefZwIpHJg56C3leaIPMAUxn1mk3nwxrh95XMWl9IWOlwI67LVxkJqaXkxP/62HheXFL/54TbDAmAi7xLOLj7lAs/SRivAbQsE2kyiZMxO6YvnR0TklkhFsuRMvgbkE8dwjGCycxcncOqCZLVXY3a6TeINf3Xv1dfc2e+eBzI581/+83+iVmvE2Piymm+/q1kzTLcVzbol8PJakMqSXe2Ory7lY+C264P7L/G5C0ArM6a/lUod4FXVDnSvdeae4BmePOLzHz84xan5wKXiRSUdrxzIdVZMFUjr3BNJsVNxEWjK8iBWZ5EXI50Lpl9nSH/x83wwqaz8rjI1tyigGt98qzpAfmzKV7FiVmOcasHVWlt2zeo6Vifklo2an7JpJuXepzwuLqgKYMc1liW/52BlLKk1luASE4VbBRmMRSRrWLr8uRj7m4JMsuOSfwdrnU04ikDKOlHMhx984N5v3PayN5QMDvA9b/1OfL/GM099gxNHHqFWK7ely6XFeu5J0Q2dV7BVgT7mjkym4c0YyMcBn2lwUfZZlsxtilR8weQyQXmGJ456/NSvzvDk4QDrqUyWqCKhU7UFvUJ72zVypHCBJhi6qguLYLN68AsmX5+Bnou9J0tAyymtEzMLiyxnqcdNNoxnTLaQT8KyiCyVLwQIY0mFgiwAzQNPQsO1l8b81rtW+fH/KNw8dJ+SwSvuikERwxiT59ag095ZF1D+vBDZFAkgKUsNkisbMk2eF225b7r+0XNDNp3DFKcpw9Bg0ph9l13Dy171UobDUfG3BcC3bJ7C8+sMlwV+1CU2DcJIEidlDcTkbSzirbDFJLhV1UUpwF2VI3aCyU1Fh6fubwvJUgJbyQQpYrSX0rOC3/5kk8eeCUiVroC60mdJJk0qunvS9x5P8kz44OS9jOPB5rhI/BbU9JwIXwv2NZ0+E0Gnsc5Hzm1CKVyVoZASadMi8JRCklpbVAo6K9FlOZ3z5ThZpZYbrgz5X9/S52f/s0cvwR2kfAZbqSFKkOe+eJHGr1iH2MI2zKXM+GbL2d9XQJ4nd6wtZfg627EWQXacZTHD2LLSS7l+5NFqz4IYrAW470u05x+ZmuHoYC7cZ+KITr9Nb+A5kE8c/GKIYwXUZSA5ztwluCcTN6XeHvtdYRemFSYvNbfMWFvKBM9PGaTwgU82+eiXm4SyAm6pCt1NJh3yCbFaVutN1t5F1TmpGAxjwGb892MXPJPj254D43b8ebUOpfh9kbYnKxnNd/yt7nXpACyLINNZbybbfsHkK6zBBZvGYlDlypsafGF5+6sGHDip+cAnWvTjjA3ygNFSPDco4iKQzABcsQ5zkIuc7UXO9tUgcwLk1XwLDlfrbjicXeRxCv0RzPdTGk0f4QdHAz84MlBx8bfFrLZffvevc9NtLz56cbW56euPdW6v6RUafkAYKdLU9QNWT/AYw1U05diOY2PVgWX99nrgVmPgLjOWUq4Fd+55a53Sj+H3PtPkP75/movLebdG1n4mPfJGBiEEvnRJu1J3l7UnxYzD4rtUalKKu1j7WlR1eVWH53MexdqfV/T3WIf+WFNDeZHlY+GeS2uP6/N8tZkYrpPr8DyzTMUwKABkmW6l3HR1THcgefqockmgsRWpXJlsvmtypt+KC7vyx+PauuzfL1WcGCcLJghDiOKYFDFfJmVSA8MIms2YH/vuDbzihXv/2/LS4fdde82L1jI4wMLyNNqrfc7GG948GAyur+uUOJFEiSzakFCUYUYO8rFeyucGtxgDd6nBqyl5x9Y5uMcDSydTSpDLwPCprzR49/vbXFjRzhYpLMEKe5NXC1LuKy9Yl72rwfN45eCEe4JYy9yTGZ6/5m2sorDK5mtGSlR3R6v649lzkzkqBoTI7UOXvrdWYo11SR8jQVhS45oxXRIIts4k/PyPdljqCv7osy2oiTHbsNAUFSa3mRQh2+qkkCRGVCZkOYfFWFuuCuRXSKW2yVKpLixtcdf9JAoCMNYSaMvGqToNOfXYZbtmP9frj8aO6Zhp++P/8NXsbnzm3pdcu/zQrq19pApZ7Uv6Q0kUuzoHu2YZqQSYMm+bGge3XA/cY00MFXArU/rfY+CeqO+upRw5q/nQZ5ucn8+Zuwrs3BZ0DJDPNxnbhazie+cB5WRjw1hlJGsZZtIUnMR21efNE5mTqfkxhFd+X61LyX82Nj98LNFT6dks5qeUnT62Mkcl32Q2rWw2a6zCGIWxiiSSbN2Q8s7vGLBvZwRRCjYFk4BNwKTZYwI2dXtVuliVyApX4Zc9ptZV+aWW4l400hSv87qaidijItXAuU1KuY3SmjXJVFMRGji1KvjCA8OHfurfffHeTbtfO3b89cT54BuHNyCl5LFnOngmYvcGmGlLWnXnWauilnG8/NVlAitaXFQDxucCtxn7u7yu22l0U3TqTIJb+ylHz3r82/8+zVcfrkFNjjklazzvQnuXunu8oaFitU0ukVV2roB1UpNP2lzV2LMA+gSQ8+dFer7SelVl9HI4EBQTXjP/eTwJBIZsJ7Ssqs+YrD7dCkT2PDVuuJrJL2RLxvbWjZDAIkYJr7op5Jd+qsMv/NYUf2tVXwAALclJREFUx877LjOWM29RhyLGA8+x+pSc0RnT20BZtJWl7EXuymRFXSK7ywlClVLga0GzrpmdkrzkxhE7tkfs2L4dYy0f+K/jeF4D8B98+5vRWkcf+NCfcde9x2h7hloAtSBLvVaZbqIxYa3Pbf/64Ba2BHchSSrg9lJOzHv8u9+e4qN3NohE1hW/DrgRoiimmhxenzsnVW0noAiIx4Aux0FbHSNdZef1iq3+Jreq9HBAX2ebk8mVwE5KlawBQqRl4GllMQPFZM+tsG7rmqLKw71nCgQ64R2vGZAa+IX/Ns3JBeEQMwby8tFOgNxWQC6+BchFIVUcqI0pj3feTZb/V1K4zb4CXzLblmybVaAuZdve742MSYGf/dYA371zC9D+mT27Lrtqy4b5V0iZjLFQYatNetzCAVlVg8c8zS7+BsydOyd5w7B0G0WdnFf87H+d4uNfahLJbOs1UUnoFOCWhTQpRkDIsu5kDOiTOpxxPT7J0s/tBLpUfR5E/fWRXXFVKo5VyfLuHy5ZvLTVDLkNmD+Wz10qX2Rs7oCdAz7PKgprEFmtigtEFUlq8LB8/+uGaAU/95vTnFzws6Ks8c+5HsjtX4XJbf43lN66tAWD57XfTtaUNfEAUWJJ7Az7tl/xtQF7fiaJojWHdE3hhBBTfPIvvthtN5qHtszV0lZdEXjgZ/u9q2x77HLYfIXF1Xj1318L3DlzV23BSiJHqpRzy4qf/60pPv6lBpGq6O0xO9CBWwgKz1tN3KuD9vNJIbktVbUBSw0+sXvc5O8LPJd/9NfB96QeH2fqtdvyFX44JbtVJ2GNtbUZWba0FRpdFk3LZTe+KrYNN9nccTdcX6FTePtrhvyfP9Vh62wM6aQOr2rzFGshthBlmjzONHm6nibPYoe00kCcDx51rZLZ3VjS1PVeJqkljAy9Aax066nW7UPD81/p7t8b/OUAz09TFA5/aue26Sem2ppGzVCvGQLP4Gd7S+Z7T6psylQ+WaqagfyryZKKFVitM6l43VIZUg/e9+kmH/1CxtxFTXelkKoiTbRw6fg8sCyYGjvG3pNe91pnZJ3nkwFmBfD///a+PE6uqlr32/tMNXZ1d3pKupNOJyQNSSAkIYRZQAHhIehPxAl97zmBOOt1unqv6FUEfU/lXqeLDxXx+S5PUGRQECcmE0AGwxAyks7c6fRY3TWdc/Z+f+y9z9nn1OlOh0zAu/v3q19VnXOq6tSu76xa+1vfWiuO7KmArrmX9TtiVj3KqoRFORMLdkYWo0A8j5OrhSanGqipSHuThfUV0EV5ZgOmB7zl/BLe+4YJmAp1TC0+/SlB7mog9/YD8iCJmBF5L4I5ri90J1WXo1LjKFd8jJcZxquZZ0bHSldznjzHiQC/9A3nI5uGf8z8Ht6YIyhkGXJpH5mUj5TtwbZkf/egFqCWCJwAbmMqcBNFBcbBrTJ0GIjFcf/qNG69P4MqTbLYoQwWRBTWibQdiQV09NqCKms+ovmGDnQSAzCJWHKiccAa1vcL7qkAH/GvtUslHtmEYlDirAqLAZuFx+hJypFKWUwDOw/BzbgpxVkUts/x1vNKeO2pZRBlxQNLPjnIq5old5lkWVg9yP0EkCtw11yg4nKUqxwTZYZi2UepwjGrs5sPDHn+8cvOTZxTc7LJXrVqFdxa5VZS27AQ3u6sY/uBxVYJC0FYnujpZZPpSniU39b0JlGfW/O7TR/UBO5+JI3P/Fsj1r1oA45uueMpaKHfbWtsSVChKyZAivPe+uKSTmbREwBcB+jpIjsWxaxDeMBxxyOe0e2hL678beF7K0tOgnsCcCr8bUbDhlDSNSCyHAMhkDoWiJ1BrVlgyTwX3/r4KD5Ngd8+kpG7eHTRCdT55EobzgN1otSrQGblU0jdilh4hnUOxUVAmSgLYVAJ9BpHS0vjxNITl92ayaQnneJJxcstrTO5O/Hkvy4+rnNwZssIZhRKKOSqyKRcOLYn2177MSuuZb1PB9zKNSEswXL7oBZw58MpfO67BazbqoM7zpZofjcNtSYmCSOViZJY1Ad4JgV1EsLrwB3uIKEfMzW44+BF1O9W7x764YpRCdu6Biq/CC8ebXXNWXiLWPSAGyeB9Va9OJUl110Wv0pxXLeH6z88hovPKMmU9gSOXOPJOeeCJ1f6EUaEu5JguT0u90sr7/pAzRN5lxM1ipEyRX/RQN8g0DF7weDvH3ruX7s6Z/HJpnlSCw4A7bN6wb0hNJol+F4JxVIWpYoDzzPhS142WJzROP8tQE20hAUFbhL3u0m95SamAPc/fq+A57Y4IuUsEsShiGTpaEKqsHCm9L8VkBFlTSb1ubXFJSax4JF2i9qOqPyERO4mwfeU10BEH65fAPHoJgO4QTT3Rs/C55oF54FGhTAKUCYZFhpcLhxUkiu6g6SNmoclPS6u/dAYOIB7Hs6ERwXKKWjiKxMcFJ56lyDlTXxLXbsSJivLJAk5fA7UPIJRFxgvuWhoSKP3uAXoaClMBeGpAW5nO6vbto1edceDi3+5bdvT2Xe/roTGDMV4WUyOCqGGGmWZHU+Y5MR11WAIbqMO3B70JAaYwG9Xp/D57xbw/IuOEI/U+d0xvlsXUkUYE00SSxFZVCa6KzEgB4ZYPtF57+ggCY8mB27yDvW/nCTCAlSdlOjCE1H/WyrtCIh0NzR3RdKEjLMofSjBz5QSisXOlHBE1HYA/JqH43tcXP/hMTAG/G51Rn5xHgA3ypOHIOdQMRXFyULQiDJuwVXmDwnPwufAaJUgV5jAhy7di975J0x0zGBXtbZ1VV8ywNdtnmCNDYse712YG/vTgwPZkeIA8imh7YjWAY8qCYlGFYqyx76mGKwHd0gFMsAE7l2TwqdvKGBdAO64/FW35ppKkHKNFgyTNJI474ivjXrQRyx3hAqMWmm9A3QisA9gpRlxv2MXg+6HR3UoAoAcMkCiopsIrbjyrzlinDhk5JOI58pjJZRLX11cLJDJvUKzon2lmodFc11882Nj4CC4f01a1O0EQq47wpPXW3JQEr2a5Sdw8OCPQA2LcrRmCJbObcd5r3vjWKbQ87hX62eYYkyZQNjT2YGZrY37mtL8sndfssodGWnG2HgqEF6JBSbTJLHR7PfJwe0ngpsbwJ/+5uCT3y5gXZ9muevArR7rElgklF2T1ltXoiFmvTE5e5K4PbYtEMPFV58HAmxe/xvrIXoe/Oihj62zKnpfzcCaQ10A4WIz4otLrYrue+sVahkjEQrRZxScC62Kr+6Z6JK9aI6Lb398FGefVIahmJWYXiX6OPTJa4pZ4TG9SsD4yAUwgJYMQwM1UcYZbv+QdRk1m/fZ6a4p53ZKgKfTJvr37MCCY7p3Lll87JZMpgAgTCcLWpHouu8pwE21hWSS5f7D4w4+8j8asaHPEavFONcduQlVmWBMokIqQwO6XviTxqx0XFRVV9QHiLgnofUKF5A6jsVh0eVmVD5aD+JJt/Po49B6k6iLogMberlrHfwkcguAE7QoTGp0FYqyQk5c48ZlIMhnBphLsXCOi+/+wyhee3IZRh2F6MXoxKlArje/lfw4F4V9XJ+jkM9jVteCLTNaZ+/c2rcNROvOfcAABwBKKUb2PNiXtivvnz23G5Y9jGy6AoOyYJEJhJY8CNtTHdxaKWOt8wKVwilYwB8fT+Hj32rEhm0OuJUEbnNqcFPNeuv5ozq4EXNJUG+R9fuoXx5LPo5dBGoeAISyzwMYgfsdLCgJ6haXdYtNZc2TIp26JiUKeCYteDTiKVWH2mPGokD3I2CPgbxGsbDLxXc+OYpzTi6Dep6gQFiSCrEe5K7ixhW4tbnxGMFIFRiqVLHwuAUYLbrvv+3OR/oo3S98p/bBAaCtvRPV6jhsO7v7r3/zH1r95KNnrjpmGB1NKSHYAQvdAcoSbiJYQ4keepfaEsfDtkEDq/+exjU35rGhbxrgplQoBBFdVOpKQSUEi9cYTCzBFrfY0mRHopJqgQnNokPfpz/R7hLoxDpgq5U6Tz6Iaw90AAdZPkSyKUSCPeZ/q/YnasWm0sIYgyykioBBAWGipDIFiOziFly4hAKY4sqV59Q7x8UNnxjFNTdyPPr3FLYN2oCtLzh59B4GfBBR1VZWCDBkXqf6l/UYMLutiNefQnD5f5n30LKlZ+0ulUrIZrP7Bbix3yMAfPWr12LJqkuGan5zsX/AvHzf3n60NTlQ5TEipYwNnesW4DaIXpjHh0FExdcNO01ce2MBN9yaw7a9dlizeypwU8GYOERkxYddiMN220pUFfDf2mIzzNLRspG0exJkyGvb5bZQeUjC4ySdKPapDJ7wcfK2+uSKOG2ZVDKOBq8lYeQV0X0R9ifODAWLZx5ZN0QuWv1ficQ21DFF+nP5ZoyjtdnHa1ZU0THTxwubTAwNG7JCZ8Igwf+jZBkFk2JSsah0DCBrcyybW8Z/f9MqLOnt/YfxkS0PNzTPnw5092/B1Tj/lC5ksvnHF3aM37Ft88gbh0Y3oLEBIpQeWG8/Edxx39tM+di0y8JX/r0Bt9+fQYWZQjhCpgjkKHBLt8QmPHFRqSoBxFv/RUGkbUfcbYkWY48AJvjRo793/JhpD81qh+yJ8FUCdyT4IB5xVZR1BlHBHGG6CYFkS0J6MHyNqq9NpJUWllw8Vlw4A6NUuFmMyUwemSMGBjAj+Xvo3oLrob2J4YoLS3Asji9/v4DNu2zAkQczICzmiSDiWZO1EE21sCSAbXJkbQ9trcejzE+6o0IWP170Rqc9xdMuw1RobketOtTXu2jFx/L5wl2gWXiyKH604areOjus9GpQVyYrMGzeZeGaHzbg9j9mUCEGkNItd0LiQgK4rRi4A6kuiQI24ntrlnt//nfUssVQTaYAs34VHADO9QqqdftjrgnXHHG1uAwYl4jASvO7ucr4ifrecXGWyP5R0U4a+uO+8smJ5oNHs4F85Y8zE27FgMOAy84t40tXjWJeZ02opfQoZ+QmIp41BpQZgSvXDRQcjfkMCoXGu1auPOlj/Xv7+2Z3tRx6gANAtqELWzf9bdusOcufzeRmAtyFbXlwLBeW6cKSnczCNiKhltswfJgphq0DJr70gwbcdn8WFcg+OZHgjV5mLfS5dXDbcXBrSbyhkCoasRS45HV/3XWy2ASQJykKAzxHfHC57SUsMgOkh3dahn3sEE40i69x4vrFAA3U0BacQJRF0QVZTGdSYiDXmZUkia2kDQXITTBuwnMNpDhw+XllXHPVKLrbakDVD+lC5gHcBVh4Y8xHxecY8wjKHkHN9dHT3YGzz1rx7F/XPLZt4TFd05pKNabtoqiRL3Qgk599faW4YR6tbnlrQ3ofUrYraXkFrCgtaBgeXM7x6FoHP/hVDr/8QwY1Ymhl1WIUoBaCJ1QsFBy5oKwDN6lPQwvAjaiPG69pEvFxdbDHtkG/V6CehCqE9j4HBOzY8XW8uEzMDRaWCuhc9bmRwNbT2BC6JQr8jMmeOVqKHOMkUoAnDPgw6cLQ0JdRE0B92eNHfGEOYWiYHnYhgOcBlunh8teWAMbx/dtzeGp9ClUfwi9XJDeFfLEPBsDzCIZqBtrnNmN+T/etp6068fotL+44ULgesKITALBt/V2Y3dWV+eaPbryvf+/OM2a3lnHFBWWkbROifiELmBLD8FHiwM9/m8E//7ABI+MmXBhBGbXAcickCxMqgjcK3FYSoCMLymS/Wy8DQeLb1TZZ+iESFAoWp6pHKNFqh5MgjzPolUmIXARHn1MpJRAlI2RpN21RGxT81EpWqHOJdHoLMpJ4uF0v0aHu6yqKhbGKsJsGA0k4VkkuBPMl4hphAVUWRKv1RJUIa0ZCXX/wmIju0h7hGJ0w8MUfNuB/35PDBDNlRpY0aqAA52h0qnjnBaOY006RynY/3Nhw5QWev6P03isuOmCsHrAFB4A5vW/Af/zuiVLXgvfUfvabX2HfyA40F3bjred6cF0uvhD1YNgeJnyCm+/K4os3NmCkaMlfTQIa0bJq8SI9OrjNycBNpgFulX8ZZysQYxvqGASEevC4NQher5n4hEyeySyIovb0/TrXLeM5kWP1xxHBFUH0nkfdm6CUBJXheclNUinSYprUNbDkvtSvMgpKmQjZQ5hoSiEimwBAmaZdQfC3x4Ni4D5ACTwPoNRHS87H1z84BoNy/OzOHCZqXCQzyx+AeAQXnT2Bz76tikJ+FjKz3lIDRkpW5sDB/ZIBDgDnnLwQjLHHdl6+6tQnnyilWxsqKFeKMIyqYE9MH5v3GvjNAxl8/ccS3GYSU6LVMpE8nAq/10coQ2ttkHh+5WTgjgZsdABHAjqx7dpvFV03Jrkf00L11H+WSdn0artyQQJXRmNYVLVZREAeuh+BX05EjqYgMEjojlBBfyMJ5IyKFiUACOcCzDQEOZMuiqTfxedSWfhe1SIEAYcfskGuh+asj3/5wBhSFsddf8li04CcfdMCcdLYOdCCvz7dhdNPe005ay59jJADWioeGoC3z8ijWJz4wnsuP5Mv7uj7xKzCYKrmlpF3yjBtD2ues3DNjxrwwNo0qp7ytxMstnJNEAV3pI4J1fvnxPpYauCOuCCBanA/4Xg58RFdSQD0qOmOXySJQwHwAJzw4PCYL87jz9WNCAATfTsXdaMCcCvQBZoVDgbhawfl3+Tx6rN00AcuMRVAp8HKWYWvQ5ATqqhHFvTqibRzkOcMEHHuro+mrI9rPziG80+r4ss/KmDNs1mAcBDLwNadGazf3Vt5ffv532E8/UXbTr1kgL/0SwNAPp9lu/vWXDNvbvM3WloLNdsqgtIqVj9v4TPfa8LvH82h6tqAEZZQC1uIyNJq0ooTKuqXOCQaoTRpzIofBLgDkGuy2bhMtg7IMTdCX3nWh+q1Qw4E3VNsT2JSQk4xtqDUXxehClWCcVxeG98fS2fjMWZFibBk3qZKlPBZSCf6gThLsiq+uKncTsWyeK4F2yC44OQqrr96GKcsHofBS+DeGNpntdSc7Ixv3HnPg9fYTmpKteD+xku24Goc0/VizWltvO7vj7XWbvpT81cGR4bpw8804MkNGVGQh8iVVFzLTUOrrTJxIsAmkwdxpgvupJJs9ZrvsI617p6g7nEI28k8kCQ25VCOQHhFpP8tPzN0UzSrTBBk/jCZaB0WB9JKEzOxlgGEfpySBJ88kopGQcHkMTIARGURIjCZpCCsOWfq34aAcybKSMCHsOQMrEZBPYbTFzP82ydH8ZenJ1D1WlmR5b+yZbztWzsnBmoHMD2J46ABnmr7MG6/69dlxzn9js6uGV/+85rf4olnCkBDSswSlwrhANi6v42gZqDSkuwP3HEqMAnc8R47ga+N2IJSuSW6BY/52HHfXLfsdRg+BIDW/e9gQ+CLCIqQ6L64vviU3gMngovn6jFCv1zRhLIxNxiI1HuHoKdsEpCrSdRBjphPTsRJcwgWiRMWnEf4lVS2DoXnUYATrFhUQf84kMq+hnfNXHhHtTpWXrrs7Qc9nwcNcAA49+QeNLbN3vjU08bVz/XRHzze9zzlhoFyrQbm+eFCUmpMVEcDA6p2iaYGBIIMnDgVGJaH09wL6ItJnuxrQ/sjAeqtN1Dvg2uWHcG2hEGSn74UrEewHNuu/PGQRYlGQEFCn5uojcrSB6F+eR9oqsSnMQhQQ7Y9AY2CnBMifHDCpX+vmkqx8AdgQlEKQkXSGxdWXCRgEGm9wyQ4Ihv8up6F8VIGE5Ucliw4lQ25J1y9cd+ZGxvTGw4FNA8NwJvaT8RvH3yuduGZ59z0y/t2ZS5a3vrtddv60T9RQnGiioqXBpcgJzRehD4KZkOzzGEVrfqs+DinrSw6YuCOXwyRbB3tsQLldPzp+PrxACPz0x58fztjVpGo8m5E6cbFO6gYkUigIYEUhIGrkE4Ack4QdEmjTFhgqiw3dMZFMSgh6EVZYy56dRLZdYJwqVqkgCzML1o0unD9GkYmLGzflYOV6kbXnJZPLTv+rJuWsSd9Yqw4JHN4SAAOABedtRjbtu/xP/Heizc/9+zfi1s33ps/4Zgd+Ol9Lv7X3SmUYcKkBI6sWWKorgokFDzpllsPXiQJp6LBGB51I2KATs6aj/aR110WaOCH2pQQbZxOgfuDHXGrLj2AgPMOw5i6OxK6BARKlKVYFrE1ZAZlP1C5TeJbloyQ31F9efkvCA3kosa4FGVJ90dUmxA6JU5kGxUqSjgbhhDhcXDc9LssfvCbLly0Yibe/Zbzix09SzcXR/v9hsZDA27gEAIcAPK5NGyrfNfKlSs+dOzc0neyXl9zNrUPhNqwTYqcyWGpCF44ZyBI4rATwF2XYxla7jjA60LxEZclRG5dgEfbr8NXgWtaoCb7eZ4wdN33ZNrwgE8kvM6VCRag8hw5Fz41l29GNBdFnZSy5KI6LA9ASaiopSIqv0oduOpBr38f6Z9zRsEQcuREyXk1ulRVrxVNagFKqiiOEfBaK5auOHdo4bFLP963o3jXrI6GQwnJQwvwpqaCmGxv+Jbs3LPMfTuGr98+/OdWw7LRaAMpI5xilZKkAKDXKImD20gCdkwVGOe3E6OV8seP04KJDEgCriYfZJKtZIq94Xvvd8QBP9kFoHYr2WzoikdqrIRcIhHFfxiPzotiU+R2EAS95gN5q9azB4AoQSFBTiCLZwrtbkA5qvP2PBO+z7B8cQ4z5p8xcOmFZ362WK3dcsz8AxNSTWccUoAHU2g24fktIz8xjItpY5P/9e7Gx1ot+OBE1pvzVXoSifwIelljGgO30msolqQuQQAxa6xZmzoBFWIXgbJWk4AmrgU/2MH3A9D9vVZjBeNnGtppTRvOI+FQhE45EBCG6p9UWXEEyRk8qFOCYIEptChMAzmV/XSYNORQn8BF4wTfV9y4OMagKZy2bMXAG3pO/Tww/BNCOg7N5MbGtDJ6Xsr43g3X4YQTT32qtWAPpEjlrOLYSNoS6ldwrsBNAgDGw+16v8pQ4KSVQJa30F+v98+jPW3qs2mAZB89yI7RLwxKtPdRFxuJHU9in6U9j78+vl6YdK0gTqBeQ6P3v4nWRoxEXiMXAYkEkCKcj5a9jyC4FL6Yx69IXl9xN3IO2iPGKFzPRKVqoVyxMF424Rvzh6x0z6dH9u34SXPbSYcLhgcXydzf+MB/uwSUl3+2aGHXR5YunlNsSDOkbWEdVPZ0OEE8al11v5wqa15/AUT8cmXhqQ4QQfjV8d8If5Sp3IQjsI58SaOOL4/tjEhooUU86yrSamXegkKcCPThPtMjlVopCb0ksxZNDc9NaeuF+pBxinLVxL4RA2a6p+hkuz8yNOz9bP7iSw/rPB0WFyUyCGG5fP7WhfO7vHzGvHntc1tSY1VgYIQgYxtIGapXV5j5FLfEqoiPstxxlkRZrahPHeWx4/62jtuXKYannlY1YZOcPOfaYlQuIlSKW9SSK8NCgoVqnWUmggtnnMuopwQwIbJQvSwLp19yHADhMA0f+UwZxQlg33AKTm5exc60vy+Xz91eqVQPKgw/nXFYLTgAXPmet8E2fH92Z8ftc+fMuuLS8+ZV3nTWGGY0TqBcC10MNSfBupPUt9RWN1N7HLbzU22zSdTFiN/UidX/n9YPfSFcv+uIDTLJp0333yUMCKks+jCVTelPfK0xlNKfBL6zT+D5BL52Y4zC98NGV2oqiaTHVH2VtO1j71gFv/gTw65iTyWT77gik2u/fWCw5q887bLDPneHHeAA8M63XwbuFf33/dM7fnXx2YV3v2ZVe2lmswuHMmQsBkNmmOiTDCDIoTSpECOahgK3SirQkgti1j2RVUH4XP0gatRhpS6UOMX+Iz0IoPLilDs36alraXChXx2mr0U6Ruhuia8/ViCnwc33w0pZkFlFQZc9IjjvStVCzTWxfa8Bnl6Egerc95934fJf7dw14p973puP2FQdsVHb80PYHUXc9Iv82x9YM/CDTRv3FizqY7RCsWecgoEgbXBkLI60xeGYgGPyANyGlNPqbon+I+73i5L654msChIWgjTa9FVtI0T2bqw7hgT7g0yeyGvCC9KQ6sZIgEvLM6W0fj1Cg6pi8VhAVEEZLA/j331/v358TuX7GrLJmGlwWKYPy2JwLA8p24Nju7BM0dNpcDSH0aINy+KwM4V9LT1XDLe0L3mP59Yebm1ycKTGEbHgatgdV+GbP2xElnT9n3NXLvrou9508uCi+c1YeWwFPV2jGCm7KHkqm1rWOqGiBaZlEFgyR9mSjdUirspUljvmdOu/a921kXCxRI5PvJqOkDkPHOqp9tefF4+9TNex1JVgZgj643g+gatuHoXrUtRc0RjY9Shcn4L5RDIqHLbloiFXxKZdJTy81sDQRAfMhrMHUw2nfern179rYTaNRzJp+8jM1WRTcqTG8PAITNN4z5pHH7+usu/eVtt+Hl+9NYunNrajM8tRSHNkHY6UJRp/mobKl9SoKyXk136kuh80iSYh9U+jtGHUh9ctb9SKh/mVof+vrQlUXibRXalYUSGCmLUO9TdxC67yMYl+DAmttnoMzZof6IiWm4iyL5BUrmEAlsFgWwwpx0M25SKfqaC5UMTarRP4l5tb0dPWjQ/91/MGli5f+Tnf836czzceFZwdfhZlktHU1IhKpfzjM884leza6n/dqe5qXbFgEE+80ApKKSyDwzYFuB1L9EZUrgAHRDtq6TeCI2h8GjGwCZfvpPZXp9aC8Lb+Pro2NbqtLuhyEIGc+HkT7SbXibGgU8heY7/gJlO6c6FVDzsn+wFlKN+BiNbcvkllapoB2/Lhc5G7ufpZhn3jHfjwu84ZWLps1ec5w1EDN3AUAQ4AqVQazBu/qXveSd72vrFvP7HloSbb8mFRBsfiSNkEaYfAtggsCXBAJM36jID4HL6UyTGlv4j559AeBwm9iPK2wTEaMPWksCAlTHvPg8XwdEY8RhP/vMi6geql3Hj0XDUGJfK9E/S5uuviM1G+QTEoQYUHg8PyRRMpALBMU7gvnol3vr4Nx554zvC5p5786aqLm5sKGRzNcVQBDgDUzGG8VLmF5s4emt01Nv/EBeQbqx9eY6UtikzKQNohcCwC06QC4BzwGIfrscBy+wnvWwfyeHKA3DaZQVO12XXjrav0IgnAhxPpujUPVJOxOKT2XK9ZqJ+fntYW6EKC71EXp5T/ksIPr7oENZfAlxNNDQLb4PBsKkHvw7YozPzZbk9L+TMLVqzcDGLdQ8jRBTfwMgA4AOQyKfbI39bf9ZWPvtFe9/z6UvcM+v11zz9DDFKjKduAbRuwTQrDED+U63GUKx5834frQfLVYZ/3UOcduhlC5xzW91PgnuwvWwBbNXuC/HdQFp3rDoz8AASS1YMd8UBU/Ympg+I5p6EmXlXxCuqJy5NT7oe+RKEg4XshTGnjEDRhtUZQqoguZ+CilIltEtQ8gmoNoEaezWtbya3svA+bTfN/WhodqGUb248IdvY3XhYAB4DTT+rFU2ufry3oab/F4NW/NKS9t4wM7/vqwEA/smmKTFpYDQ6gUhPdBkoVX3bn4vCZJmmFXPQFVJlcNBGZ7SLBHf+h1S0omyDZHL0mSdwVP5T8CUncplnk4LvpC0tFIYZcdHTRLFoDKq1JUM6Nh/vjF4ly3w0m3qtS5Rgt+qjUhAm3DIqUQ1Gucsya2Y58U+s/NzTP+6XhdG7v3z1S65i15AijZ/LxsgE4ACw7YREAlO+++84NK1csvm7jpj67sZD7Qnl8p1HIlJHLCNviugSMcfTt5qi5EtzqR6GQq/2Qa4ZU1PkIi6ur1yjaLxBBIdY6hijLh5js9PCPJJ8bgYWuB3sgIVaWHPJ8aaj7Yb5o0aeij4bi0SEvFilpNpisQUM5tuzi2L7Xg+eJAkApG+hoyWDJMfP8jvbWrzW3dV73wqYB/6KLTj9ykzPN8bICuBoXX3wJfvObO/3LL7/8S0ODg+bWjY98qji4xnFre5GyCHxWwx+fBrYN5FFIhzQhpeKvU5WFMCiBYZAgo9wFE20dmeh5HkRMoUBBQhG/svIasJXsNKhKNZUWBDh41zxhoawDO9KCRZXToGFLR/VyYbEpXLlgrHkEXDaW4oZcaxgchsFhWaLto5C5cnTMqGG0No6Hn8vBq1FksgTt2UasOGlF9eILz/qfzc0zvnT/fXfjoosuOdqwSRwvS4ADwKWXXoKJ8SIyWfcLDcvPoptfnHnqj35xB71weeXUrXs2m395pgltKQLL5BgtA+UaQcYSlssyxY9mmgS2KUDOQUCqQLnmo+Zx1NwwkUHpzQPEytrZIaPAZeGaozf0RbNqAQvNeitwi7qASqAmwuZcBmKqroGqS1CuiovUNABuCSsNAKbBkHFEVLJSoxidcEAIcPqSIn7/Nw82neu9+XX+6mOOu4R1dfauHivxLxSLReTz+aM6N1ONly3AASCbCybu87s2/hpffN/p+f6hwRtXb05fnrEmaGvBxeJ5FLDHcO/jaYxWLNimSCY0DQHulGPAsSlMg6CWJtiy18fIOIWp6hpSIQXgMmADmcWiKLHE8sVHaSiuW7hTTJMO6w3AeNB1OuxArRrzuti0PY+qK+bHscX3sQxx5ZgGRy5Tg+tP4IG1FgjLoHe2jRMaW3H5BTPY7tGlt+0cm/GBnY/uLX7yypOP4kxMf7ysAa6PWQvehN3964tdCxZ/5HXegk2libVLGpyJN7amN2HViaNYu4Njw8YCZnDhmpgmgWMbyKQMZDMU+QxHU95H0RvDPY9nYDIbeYchZUaJYCJBDhBRvgUJIe3pnvR0/JQD+GMI2BV9QSjdkVBSHILbMhkc20PaqQFkAg8+l8IzW2w0Zk3kMgayzAAlwhD4nIBSjkyqhrVby7j5XhvL59awoGcBXCN9x0nLT3gW9qwbwCrFhfMWHm04THu8YgAOADPbewFg37bt2//pY1cu7N69czO8iRlvbMzdB+5X4Ho5UEphGoBtiZV+Jk1RyHLMKHjo7qhg5ZIhbN5XxaPPdsCkJChToW6+pEao7LwbRkfD6GYiJl+qBzOlpju6Lx7JjOSnUgFypcA0KINp+nBsFw25Eh5bX8J3f92M1jTH3FY3WFwb1IBtEXieagbroVKrgdpNOOWU5Tjm2N47Fiw+7uNjxfG+jpmzjjYEDni8ogCuxpzZszFeHO5bsOC4T1eKxi222faxxYu2njU6vAWEj8G2bKRsirRDkU1x5DMMhZyLdKqKma0uOpsrcD0OlxHZtk4VggdULRufAkT2uaE8ZB3UCBiM+MZgTHOZmRCh3N8/hMqSCWp5B/XCwxrfJLDmPhzLxd5hYHDARLaDYKzkwzZ9mJTAMgkci6JSJShXGFzWjFXLl+FLzase7GxpuKG3d+7a8VLtFQlu4BUKcADI5ZsAYFPN45sMA892z35w5hkfPP7fN21cf8yWTc8baYcg7QCZFEc65SOT8pDPVrF5B8PaLTaYQQJ6TNFveoVVQmSnOz2EDSRwd9NNPDgwXiUINKpmU+HHAQjFVQrYhqbFVm+gQvS+T7Ckx0Pn7BKGxxw0ZwjKNQa76sM0AUoMpNMm2mav8tt7ejbl06NXHrfszN0ANhyJ2i+Hc7xiAa6GLXzoDf17Bzf4vn9BS2Oq87yzV972zNOrGyaKO7MmGQ980ZRdwW0PmdjcV0DGkQWIDCHJVby3r2WFC3aCi7JjPIRnNLkYiANXj+InZ79rkl71PP4G0ChKRNWSRMYZFbBNU/jcVFaTYozCA2D4FJ5voFyz0Tu7hPNPHsPN9xZQcUU/qErVR0NDFp1dsydee+6ZY7bpXpZv7tpJidH3Sge2Gq94gKvR3jYDnPG+mR2t2ycmJhanHZxCif+jvXs2eePD65sduy8/WKzh5j8UwAwHBZPDpCKpIuMI2q1YIXA9gBoAN3hQaVUYQg5C6JSVatWYCtjBMbpBr4v6y4I9emIwF/X+uCzPJrhvcYFaBoNl+TAoh+saKJZNea4cvk1RrdkwaA7vOGcC96wuwUUDZs1sKq5c1ju0ZPFC0zKN93d2da/JZnOjHJzRgyg4/3Ibr55vAsjSDITVqsXhtrb2+zLZ/MIH/nTn/GWnvP1rs3tOfu7hdT1Pp505lZVzM2jOumDch2VwFLIUc2cayOYY9lWA8SpBTUb8VOQzWNhF8kCj1hxAgO46PzqmYxfbwl2REg88LIzEWOymrQUo4TApg2X6yKRqaMiOY6xUxZadNoZGbVRqFD5zsW+EYsfAHDTnuisfeFP+6XNfc8pzH73qiq/9x63/d36hoWHhzJkz7xseKQ4TQl5V4Nam+NU7Rgb7AGIRb/Q+/PqhtGGYzd/P2aWFI8V1Z9z1wIBRK3LM6yBYusCDk92Hr96aRXk8jbYMQ9bhyDpA2iFIWQSOLehHM2gkJZIadHGKuhgoBQyDhtHUhCQJQyZxmLJeTIBvrgehwooCIk2MI2UzpB2GdEokG2TTLhrzJYyWJ3DtLQU4rAmrlqRw3DwXllPCpj1z/OOPPf7hrg5zw+DoyNU/v9/yr37baajWPN67oPto/0SHdbxqXJTJRuOMbiBcs3mcD3wAcJoGhk64dvveP9p9L+70F/U2LF84z10Bvg8WK2GwbKJIDVgUSNsymGIAhiF06VSG/1UXNUKEbNdjQtik/HJVWF5v5Q3E/Gn5r2BS4eSLdDEie8kjLHbPQ0266KwgHBnD8JCyXQA1lCtVjJRT6J3VCSttPWFaxSdb2+cb7QsvrsFo/8cxXhk+YXkTAOAbnz3av8yRGa96C76/8czTD4FzelZjbuL8x9fvvmz1s6SXemWs27QOe/YYaHRKSFkMmRRBPmsjk7IgilsKPtEyKAyDwvM5xkseXE9UCbBMAtsyYFsUtkWlXADwPeG+mAaBbQGOBTgWh2UJcZPrERQnCFxfVhEww2ATIYBj+UjZLjIpH015js52DwNFD11dx6OhwcALu9Lrd+7pvq2zxfq9z/iD55939tGe4qM6/r8HuBpPvjAEABdkHX9+iuxmt/z6p+zFnQt6Tjq26XM7duxAJmWiODoIyoswDR8v7vKRz9rIZyxk0hRpx8P6bVXsHQIasxQpR0RS0ykRTc04QtY7NOrD84GUYyCbIsikgJTDkXIYGnMudg9yvLDVQMqiyKYpchmOlFXD5p0MlFDMmzMD3bNbYFAXM2fOQiG97br7Hu178Zyzr6Tz5jRTy+GbAdxHyCuTtz7U41Xvokx3LD+2GQDuU8/39O9FynEat+/Yvfqpv5uwTMNtaV78iWyan2eZLjZu87HxhWdg0gqyKYJ5XR52jROs30nQkPZQqQCe58M2LRjgaM578FHBM5s5mG+ho9mEbRowKQfhHJ4LtDTWsGOEY9dwDvM7LDAQFAp5rDxpMWbvobBMEw05436Llr8N+FZb5yI0Nl3w4Du6qyOFxtajPYUvy/GfAJ9kdLS3AcAIgDsBoL9/DwC8YBp+u2l4LNvkY++urfBqPiybIJ+jgFF133zh2dfk7fLFQ2NV1/eB1iYL+QxFR7MLZkxgR8mAyWy0NxnIZQy0z/Dhuh7KbsZqbHfurmz6/TUuL1imaYIQAieVQ3fPYjS0mjANg6Ycox/Ai+3th6ca66tt/KeLcgjHn//yCADSXintK+zeV+auy9HaZCGbpmgtCIA/9IwJm9loKQidTMcMH+WKh/FKjszvaR/lnPcfu/iUo/1VXjXj/wF5yWSju+mhDwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMTozNTo0MyswMDowMLVxgZMAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6MzU6NDMrMDA6MDDELDkvAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 231565000
{'hecke_orbit_code': 63050394816747403, 'n': 1, 'trace_an': 3}
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id: 231565001
{'hecke_orbit_code': 63050394816747403, 'n': 2, 'trace_an': -1}
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id: 231565002
{'hecke_orbit_code': 63050394816747403, 'n': 3, 'trace_an': 3}
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id: 231565003
{'hecke_orbit_code': 63050394816747403, 'n': 4, 'trace_an': 1}
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id: 231565004
{'hecke_orbit_code': 63050394816747403, 'n': 5, 'trace_an': -1}
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id: 231565005
{'hecke_orbit_code': 63050394816747403, 'n': 6, 'trace_an': -1}
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id: 231565006
{'hecke_orbit_code': 63050394816747403, 'n': 7, 'trace_an': 0}
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id: 231565007
{'hecke_orbit_code': 63050394816747403, 'n': 8, 'trace_an': -3}
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id: 231565008
{'hecke_orbit_code': 63050394816747403, 'n': 9, 'trace_an': 3}
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id: 231565009
{'hecke_orbit_code': 63050394816747403, 'n': 10, 'trace_an': 5}
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id: 231565010
{'hecke_orbit_code': 63050394816747403, 'n': 11, 'trace_an': -6}
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id: 231565011
{'hecke_orbit_code': 63050394816747403, 'n': 12, 'trace_an': 1}
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id: 231565012
{'hecke_orbit_code': 63050394816747403, 'n': 13, 'trace_an': 7}
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id: 231565013
{'hecke_orbit_code': 63050394816747403, 'n': 14, 'trace_an': 0}
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id: 231565014
{'hecke_orbit_code': 63050394816747403, 'n': 15, 'trace_an': -1}
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id: 231565015
{'hecke_orbit_code': 63050394816747403, 'n': 16, 'trace_an': -3}
-
id: 231565016
{'hecke_orbit_code': 63050394816747403, 'n': 17, 'trace_an': -10}
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id: 231565017
{'hecke_orbit_code': 63050394816747403, 'n': 18, 'trace_an': -1}
-
id: 231565018
{'hecke_orbit_code': 63050394816747403, 'n': 19, 'trace_an': 16}
-
id: 231565019
{'hecke_orbit_code': 63050394816747403, 'n': 20, 'trace_an': -11}
-
id: 231565020
{'hecke_orbit_code': 63050394816747403, 'n': 21, 'trace_an': 0}
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{'hecke_orbit_code': 63050394816747403, 'n': 998, 'trace_an': -132}
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id: 231565998
{'hecke_orbit_code': 63050394816747403, 'n': 999, 'trace_an': -17}
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id: 231565999
{'hecke_orbit_code': 63050394816747403, 'n': 1000, 'trace_an': -31}