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mf_newforms • Show schema
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{'Nk2': 704, 'analytic_conductor': 3.4362352803253393, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 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': [11, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 3916493804, 'field_disc_factorization': [[2, 2], [979123451, 1]], 'field_poly': [-1412, 1417, -341, -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, [51744, 140, -558, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599761588235, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 6, 'hecke_ring_index_factorization': [[2, 1], [3, 1]], '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': True, 'label': '11.8.a.b', 'level': 11, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '11.8.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(-9-\\beta _{1}-\\beta _{2}-\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '11.8.a', 'trace_display': [0, -35, 537, 170], 'trace_hash': 2257796665775040086, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.729', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '37.572', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [-9, -1, -1, -1], [152, 4, -1, 3], [133, -5, -1, 3], [392, 10, 35, -10], [38, -18, 34, -18], [-112, -28, -120, 42], [466, 41, 61, -23], [392, 98, -103, 42], [-1331, 0, 0, 0], [-8648, -232, -239, -107], [1060, -10, 250, 150], [-7504, -28, 482, -336], [1711, 3, 419, 11], [13360, 696, -34, 522], [13622, 188, -472, 348], [-18088, -1002, -680, -482], [16936, -100, 680, -660], [3976, 16, -2285, 471], [25570, 18, -922, -94], [0, 0, 1331, 0], [-2201, 211, -3029, -789], [35728, 2068, 8568, 606], [5080, -2211, 2153, 765], [-77840, 340, -2620, 1200], [-30731, 81, -4567, 1121], [-119440, -1920, 8394, -3510], [59464, 3778, -1662, 66], [-118104, -1630, -1477, -1114], [47287, -709, -3389, -1533], [-44352, -1848, -14564, 1512], [11979, 1331, 1331, 1331], [102144, 2040, -21250, 5940], [37014, -6042, 12698, -1386], [213856, 7644, 29894, -1282], [33095, 4485, 14753, -3555], [-147840, -6600, -6276, -10620], [-253420, -3020, -1000, 6500], [562352, 140, 576, 7602], 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[11, -1]], 2, 1], [[[11, 1]], 4, 1]], 'ALdims': [4, 2], 'Nk2': 704, 'analytic_conductor': 3.4362352803253393, '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': [11, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 6, 'dim': 6, 'eis_dim': 2, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134217739, 'hecke_orbit_dims': [2, 4], 'label': '11.8.a', 'level': 11, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 8, 'mf_new_dim': 6, 'num_forms': 2, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 8, 'trace_bound': 1, 'trace_display': [-8, -41, 67, -1058], 'traces': [6, -8, -41, 500, 67, 862, -1058, 60, 1787, 5750, -2662, -28288, 4594, -15236, -6149, 46376, 45832, -66886, 32564, 21128, 46906, -10648, -70501, 245964, 24731, 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mf_twists_nf • Show schema
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id: 7603
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '11.8.a.b', 'target_level': 11, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 7604
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '99.8.a.g', 'target_level': 99, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 7605
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '121.8.a.c', 'target_level': 121, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 7606
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '176.8.a.j', 'target_level': 176, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 7607
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '275.8.a.b', 'target_level': 275, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 7608
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '11.8.a.b', 'source_level': 11, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '539.8.a.b', 'target_level': 539, 'twist_class_label': '11.8.a.b', 'twist_class_level': 11, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 50225
{'charpoly_factorization': [[[51744, 140, -558, 0, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 2}
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id: 50226
{'charpoly_factorization': [[[1673964, -85815, -4673, 35, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 3}
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id: 50227
{'charpoly_factorization': [[[953818350, 16608845, -23331, -537, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 5}
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id: 50228
{'charpoly_factorization': [[[87571440704, 805753160, -1702596, -170, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 7}
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id: 50229
{'charpoly_factorization': [[[1331, 1], 4]], 'hecke_orbit_code': 4503599761588235, 'p': 11}
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id: 50230
{'charpoly_factorization': [[[-518474088880000, 636477836000, -104641800, -4250, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 13}
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id: 50231
{'charpoly_factorization': [[[-5879827097747856, -1772971365520, 698589408, -54300, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 17}
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id: 50232
{'charpoly_factorization': [[[-317889451438377984, 30781610741376, 413172576, -67844, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 19}
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id: 50233
{'charpoly_factorization': [[[10761383314658092944, -90969330843035, -7759317813, 9015, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 23}
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id: 50234
{'charpoly_factorization': [[[-419294927566580465664, 7916160291570432, -23056317792, -234078, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 29}
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id: 50235
{'charpoly_factorization': [[[-6106433255407770136, 626963624696381, -963903885, -189857, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 31}
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id: 50236
{'charpoly_factorization': [[[4102429081307632130394, -12335279871678165, -244889000967, -127895, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 37}
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id: 50237
{'charpoly_factorization': [[[-6699351297501673181184, 71235636464687168, -166344642192, -289842, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 41}
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id: 50238
{'charpoly_factorization': [[[2850351339234962448864, 106782439941219240, -242375464716, -704930, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 43}
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id: 50239
{'charpoly_factorization': [[[-7421719301300281442304, 127380976255544320, 916748560128, 1729080, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 47}
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id: 50240
{'charpoly_factorization': [[[186437308687455219423984, 913369177327758480, -1013868969408, -1098660, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 53}
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id: 50241
{'charpoly_factorization': [[[293780567541901066316364, -3804638314615815941, 3856725321735, 4665777, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 59}
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id: 50242
{'charpoly_factorization': [[[1029307913215079059584, -6684801231028320, -2169833492856, -310610, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 61}
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id: 50243
{'charpoly_factorization': [[[-841372895664191080894364, -2018121250133252705, 1961932676487, 3368245, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 67}
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id: 50244
{'charpoly_factorization': [[[59842846007129168321562144, -42381209374681164417, -17233021481085, 3416541, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 71}
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id: 50245
{'charpoly_factorization': [[[-60018210129095505174760576, -21480056586718678240, 39060188842536, -11466230, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 73}
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id: 50246
{'charpoly_factorization': [[[25734353202870401722585216, 15662085774697901128, -22128866924052, -566282, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 79}
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id: 50247
{'charpoly_factorization': [[[702155789655742391057025696, -156150693882894592440, -55496901827772, 4220790, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 83}
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id: 50248
{'charpoly_factorization': [[[-241905959662481292757205034, -49556488314754857789, 86017581553797, -18265191, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 89}
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id: 50249
{'charpoly_factorization': [[[4638684087239396087570364946, 945610745170836511345, -118218313347159, -11425325, 1], 1]], 'hecke_orbit_code': 4503599761588235, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '11.8.a.b', 'level': 11, 'portrait': 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CpCz2f9OGyeilk30Wd6ImL9RMTmdZat6xVXbfGoqBonzzR46oDP80dS9p9OyFSbt9/d5P67LBU1wZHTo5y8oDk/lzGTg/vYguWWa+b55x9YZsvkCOdnx5hbDlluaWYWNOdmDVrBaLXCky8s8fyx2asu33jqtSpNt3ea5is/9qPfG//W73z0Ow2J/6bHX2sGt3aBp1+osml98suTlefvOnXw8/LT36jf9dW9Z/Qb7mjz9lsrHD87RjdStLuKxSYsrWQstRIWVzJmVuB4zuT/1wcXuXVXlbOz41yYq3FhQTO7aJlZSDk3nzHXThkd7/OaazvcfiX4skKgAmaXQi4uaGaWBN0I0tQQ+oZamDE2kmKA0zMprQ5sW+dRq0RYK0D4dHqGresjFlc0WCdFVjoQpWCxLDVjNk17tHsKoSzCRDRCj60b+qx0BacvaDKjmWhI6qEg8CBNBd1IMrMkubhomV1OCYI+eCl3XN3hrmsEU40Ki8sNzs4GXFiA2YWU2aWU80twfNFy89UL/OIHl1k/2uDMzDgzixXml30WViRLzYzlZkKnn9GLBIdnDW+8Y5HX7/E4dm5H+sBL6ol/+CNvM+96/RVPSJn9/KmLATs2Nr7TUPmWj7+2DP7w1z/Hjp038uv/4ad+6ZmnH/xfP/vlL1wexxe2TzeQMwtVjOzy9juXMSYAK8ECSBASgUAIixYWX8KFxQp7j0mu3bnElVv6VEPwtMT3FL6vqVUkVU/S7XgcPhXyted9Ts9FtNKEw2cj1k0s8Y7XLHPt5W1uvrLJqYWUha6gGvQ5ccHSbNXYc5lkpZ9x8JSiXtW8fBqu2Gjpxxn9zEfrhLE6HDoboHSGJ1O0B71IcuuVXXpdybWXZ7R6Gacv1NmxXlGrxqxElunRLsudFh9/CF48mbH/ZJ9tGxe5bneLsfGYt97R5u/cY9m5vk6WjHLy/AjHz3mcnTGcm0s4N5dxfE5wZiXh+l3z/F8fbLNudJSzM+PMLlaZX/FZbEqWWxnNdkKzk7HctpxfhhMLEW+9LcamE3zpyUiG4fntI/LwjvlleZsOtld2bhn7+ic/9Rk+/rE/+U5D5lUffy0Z/D9/+MN89LGu+sXvHf8/z5yd/WdPPX9c7T2UsOeaFd5/r8tSvHiyxT/+nojZhXXMLTdYaoYsNT2WWprlNiw3M5ZbKUvtlIUmnF0W6EqfO69Z4nvvidkxXWOl02BuqcL8ks9CU7DUdBJhuW1o9QytyNLtp0w0ErauM4Ag8Czn5jyEDNg2rdix0bJxusvscsS+o3VuusJSrSxz4Ng49VpMHHtMjBl6fbhqa5+PPjTK7i0pUWSZHJEkWY96GPDyqT4Vr8YNu1L2n4iZXfTZNBGwYwNsXR+jVMK5BfA9ixCWbetSxuqSdi+g0/VodT2WWoqlFVhsGpaaGQvNjJkmLPYztm7q8L33LnDnlZrQa3BxocHCcsjCimaxJVhpGlbaCcvtjJWOZbEN51qKmWaL/+1753jh8DStvuH9r2tz3fYxXj41gdVbs3pj8pd+6AfP/uIr+yeya67/0HcaOpc8/loB/MiRo1QqlcrshfNbP/7AE+/bPnnuX66rrnDgeI39xxJePm8wXoebrljh4lzC//HBNjddXmV2aYyF5RrL7ZCllsdyS7PcgmbbsNJOWW6nLLUss03BhY4F0eH+u5u89VbDZRtC4rjKcjNkpePTbCuWO4J2V9CPLHFqyTJQ0hJ4UAksow3L9HiC9vocvxjz0rEAk9Z4820x2lvhuYMjbN8AX96bcveegLlmj1Ar0ixhfAzSxEN7KYuLVV5zY4svP1lnxwZ49miER5U33WpIRY+XjmecPBeipc+6Mc1YTVAJBL4vUAJSA3Fi6cfQ7lpWOoZ217DSNSx2LL0sY9vmLm+9vcn9d8Vg6iyujDC3VGGxIIMmrLQzmp2UlRzcSx242FbMtVJuu3KGf/aD85yZrXD9To2yUxw6Nc6LhyUvHO3xxntGeNtrJ/+P5ej1f7pt6/ozUdzr7dq1+zsNpcHjrw3ArX0CCPxzZzs/8vxzF37jT7/wjFhoz8rve2OGScZ55oDiyNmEkwuCM8uCbhxx6+55fvVDy9x4ecj8yiiLKzWWWwErbZ/ltmalLWi2Lc1Oxko7pdkxLHcsc23BxaZhbLTLd93c5o4rU7atUzQqHq12SOBJQBGnEmMExkK3DwjDWL3P0fMWY2MefLZG1K1w+SafO6/tkpgVHnl+lBuu8Dg606G53OD2a7t8/bmAdeOWg6ct//DdLQ6eClg3Lvna84o7r1IsdVucODvODbtiHnmpRxpVueNqn51b+vTSDl99TkEmOH5O06hqtIBuT2KsIDOWJAWkQfuGZsdSqyds2RBx11VdvuumlIlayOzSCIsrFZZb7tostwTNDjTbKc1OSrOT0exalrqSmbZgvp1y++45fulD89x0hUenV+fiwghnLo5w6FTA3oN9Utnme98QYZKNxoa32+r4tn/Q1ls/7GVL8fe+5brvNKSAvyYAt7Yns6T7jv0vfOLybpT86smDL3sHjlV47miK9DtsntTILGRhOWO+aVjsSGZ7kplmyh1XzfHLH5rnpp0+K60R5pfrNDshK22flY6m2VY0u9DuWFrdlFYno9MzNLuW+Y5gvgNJFnHdFT3Wj2d0upa33B6xfb0hzSRaWuIEHt4XcmYuZMNYyoHjIZgqV25W3LjbEIRdnjvaZX6hxjXbazRGl3lyv8ctV4QsdldYXm6wfr1l70HFD7y+wzMHNZunPRY6TZaXxrnxqi5PHsgYr4xyzeUd5ppN9r4ySkXXuHm3ZdfWPsgO+04KpscTZucTHtnn0U8UUkJmLNs3xHzX7THtjmLjmOHGKyCOqyw1qyw1A1Y6Hq2uotmRtDrQ6ma0Ohntbkara1jpWpZ6kvMtQbMXceeuef7vDy1z8xU+c0ujrLSrLLVC5pYqzC4KpF5i43SCxxhPH/B48XjE6193XZLK+v/+Q+/97mONWuUL9Yo232lsfccrmTbrk8bpB599bt+//dKDp8dPXrzI37+/g6c2YPE5clYwM5sxWjVoDfUKWGuQ0qKF5pkj6/j539G8+84l3v/6JXZsiplZbBD4FSqBTzXwqFU07Yqk3vMYqWm6/YxOL2NdZOhFlnY/YGk+5NxZS5wazs+kBIEFBL6yaCno9hQCj7SruX67YOdGy9ZNXaKszQPPKA4dG+ONNwXceNUyH3nA4osq2zd12f+kYtOoYrLRJVQV4sRjrg21ULN5neDFQzE37qpwzw0L/P4Xe/henTfcZvGCLt/YG/Plp2u8crLCZRurbN+QMTUWs2MyYc/2DKUMWlnAUg0CpkYD4sSj3fU5cNSj09d0e4pOX9LpQadv6XTdZ2/3Mjo9S6tnWenBfFcxu2ypjjT5yTfP8913Rly7o8rF+QYrnQqtbkCr65GkgnpVMFpv0O9J9p9WHDiZcGK+x9uzRz2pd/7bwy8/t3TNNbf848Xl3u9PjFX+xwX4xfkeM8v86IH9j/3y8ZcfHj90pMm5ZZ/PPdnju65fYeeWKaT0aXUy+nGGSizWAAXAZYavJPuPTvHCkRpHL8zx7rs63HV1n9F6g6VmlVorpNHz6XQ17fxm9/qabqTpR5Z+bIgTS5JY0sw949THGpBK4GlB6AtG64KxOqyfNGxe12VyrMlXnoNHX/CQZoQ33uRx/ZVtHn8lIe43uPN6QbPXY26xxh27DJOjXSo6oJ8q5lsJygiu36Wp1iOePxzy2htHuP26Ns8fVmBHuOlqn7/39iW+/mLM156pcfBMyNYpxfrxCmP1KiN1qATgaYuSYCwcPCnIMkGSCuIUogT3GaOMXmToR4Zu39CNDJ0etCKY70jm2hCZPvfdsMQ77mry/W8wpGmDmYUarU5Iu+fT7np0eopeJIkSwcJKSLNjOX0xZqbV57tf2+WKjTVOnlvks59/YNzT3f/nrrvu1da2f0eI+v94AD9+Zpl+lP29i6ef+OWvfO3r0xvH2ty4u4o4mvHK4YybdvQZq6eMNgKEEHh9QT/OkBKkBKUsWlk8Zah4goVuhY89tJlvvNDi7j0rfOC+Ffbs6DAxWmVxpUq7F9DteTmwlXvGgiiRJKkgTd1W77xbLqjUGkIfqhXDeD1h03SXlA5Hzyd8/JGQE2drjAYVbrlac8e1LfYeafLgUw1uuyJk64YuH31IoERAo56w0okwFpSAqUaXVtvHpBXecfccH/tylZ2zIW+9rUucLPLISxMkWcitV0/z1ltaXLGlyTee77L/bJV9J302j0vGG4JqIPA9twilACEsxoIxliTNF2tiiRK3kPsx9GJo9wXLkWCpDUL3uWH3Ch/4rhXuvjpjolFhuVWl2a7Q7gZ0+h6dnqbTU3T7km4k6UXQ7TnJt9LJmBgxXLu9wfm5Bi+fFLR7s7zwzFemOz31y298w53W2sXfFWLifwyAf/xjf0jfVnn8sQd/KNDdX50K9k7ec02HOKvRbFnSTNPsNDg3U2e0pqj4lqwikEKhlEDKDCVFvj0bPGUJtKWiBct9xWJzjE88XOPpAx3uvG6FD7xhhRt2NpnIKqRpQLcf0ul59CJNnCiSVJJmkswIjBUILFJYAt9QDVMCP8b3Is4vRnzxWcmxcz4nz42hTMDODT5X7VDcdGULFczz0vE6m0arXHMZrJ9aZqnVYM8mSWosX3kmIOpKRmspb7q1zxceSTgzU2f35R4XV/q8fMJjy7oxrtsxz+P72zz5siCKfa7cMc6VWwKu3Nzm+MUljp2HZw5VOXqiRlULAi2pBZbQcwtfANa6xZpmEKcQZ4JOJGj1Ba0EYpNibJ+br2jxge9qcfeejA3jAf3+CIvNkHYnoNP36fY0nb6i21f0IkG3L+lHrm+018/oRxm1wDJSr3L8tGalDbOLCc2ez8e/3mP8xa9Pd9sXf3XL+nr68guf/sihYxHvee/3/e0F+L/7zT/iNZfP8/RJ8f1ff/rMfzh+9vDoe++b5w03QrubcWG+TuAHdHrD+lMYWCzkoHYg18qgVYanBb42+J4l8CxVP2M0FLQjj+XWGJ96tMFD+/qsG+vyvnubXLmlT7/X4Zodli3rFVHikWWKzEhsAW5p8HTG6VnLyRnBSs/wucernF8Yw8YeY6Fi44Rm23rNZZvgmp0tjFzgt75QY2lphNuu1Fyzs8k39glE6jE9JqlVU7qJj7QSrERpn2ZfMLskuNpWufemNk88X2HjpM9t14zzd9++wIe/3OaZwzU6fY/FlTo7NlbYvaHLrbvavOe1bS4sLfG5xwMWuwGnL3qcP+/jKYGUrtBlrCUzkBhLlhrGJhKuvbpLFCVcuSXivfdGTI8oxusBSRJycT6k2/PpRm6X6w2ALelFgl4k6Ee4nSDK6EeGKLEIAd2e4cjphE7fsNiynF1WrEQp9647TtY+Obksr/0PJ6PLk//4kf4f73v6D7j+9g/+7QP4kRc+xhU33Cz+4I+e+J4TZ878to3OVU1c49f+xOcLTy/xE29fYseGjNCv0+r4xIkkySRJIpBCoqTMwS3RSqC1wNMZvhb4niH0LJXEUo0tI2HGWEXQjSXtuMbJczX+1R+Pg0kRacpN13bZsT4mTcFYg7WuiCOFQCqB9nwOn/E5eCykFmrqvmSyKpiakEyPazZOKbZtyNi9bYVMLPIfP9Pg9JlRbtvlceX2jF7a5qmXAkYrHhMjltF6TLXipJAxkmZfsdSxLDYzmp0Kr7lmhWcPdjl0RjHaCLn16lE+9I5Ffv2z8PyxGp2eZaWtmV1qsH6yyvRYn20Tff7J93RpVJvsPwmHz0o8z6KURQgDWPc/C2kK29dn3LknJUs8kjTA2ir92GNmwacXuR2tH6uBfOvFgn4k6MdOkkSxq8pGsRk+EyeFklwKtfqC8yuCzZub/PN3LLFna5XTFyZ5dv/50e3b7G//7I9vS69/y9s+8Sv/8RP2537qe/72APxf/fvP8L/+py3qJ971+P1bx89+5NyJi+FIJeTyDRnCwpP7ptm24SI/8+4F1k8YAq9Kt+/TjxVxrNDKorXFUxJPO83pe4rIk0SxIYgzosRSSQxRYohjSyOFKDFEKcSpoJ9IoiwgyUIOHaux7xBk1uKg7bSxJ8FXzvNRD+CaDdCowEhNMlZXTIxqpsdh6/qIDVMrJHaJ//iZEY6fGOHGyxSXbZbs3LzMN19OmV0c4aYdkrGGIfR7BDLAKkGaSYS1pFnMcidkdtHjxisrXL+rzePPh6wbE1TDOjfuMvzk/Yv8h88aXj5fZ6VjWGkr5pc1k6M1xhoVxhojNKoJU7WEbTfGBF6Kp1OUypDCBRMWt6iSRDE3r0lSRZIq4kQRJflrLIkSSRRL+rEkioULUGNBFNsczA7UcWLcz5LiCVFi6USCua4kMV3ecesyr7mqzssnpjhxPqTbNzy6d6ZqK/5HPvKfvmg++ANbP/Peez6R7brxrx7kf+UAP/D87zI1vqLuuGb+vfsOzv7+ePWF8L5bR3jlZMD5OY0F+knKH35lmi0TXX7kTU1AoLXB63tEWqO1wosVvrZ4scT3hLsJniDyFXHigJ4kljjNXFYkLT0zSDNLlhkyg9PbhgG4hQAlQUvwPAi0IAwE1UBSqypGqpKxEcH0eMq29V3qtRU+80TMIy+Ns7LQ4Nqtim0bPK7Y0icTK3zlmSo1TzM1pqhX+7x0HNdxv8XSjRTXXZFw7U7LzMWM+WWfXr/Km29p89j+HkfPK2oVSeA32HOZ4Rd/aJGHX+7xhYcnWWxZtk1nLDc1ow3FSM2jXvWoVSxhYAh8Q6AztHJSS0p3D6zFFayMIDWSNBOkqSBJJXEqSBKXGYlTiBNBnFjiGKIkI05yUOfEUQA7TqCfWPqJoBsLliLFXDvlR982x/ffpzhyeoJjZ0POzRouzrvOos0bDoTXXWb/8Dd/X/zwYr/2yV/7rT/J/smP/dVq8r9ygM/Oj8jT5+L3nzp76jej3ivhV49orty2wE27BfVKg3rFw/MyXpmFg2ddd0k90QjpdLavPXyt6XuaIFb4nmOayJPEviBOhLs5iSJJcdImtaTpMO2XZoYsc9mFzOaZkjxbIoRwWRnpZI+vBYEvCQNJrSJoVC2jdcO68YipsTapXeETj0k+/OUJpsOQa7cKtm7w2L7RsG3DMp95yrK0FHLlesVYA+rVhNlTkrnlAH8HRIlgakQyOgpHT1qWW4aZhZArtoe8/qY2X3w0ZKIOge+j5Ch7dgp+7K1zeHKOzz8+xivnQ9a1EqZHU0ZqinpFUa1IKoEm8CHwQGuXYZICpCiBHLewMwNZJkgzcqDjZEYKSZI5UkgMcfGamDztmGdl8hRkLxH0EkEzlizGlqzfY8/WLpkZ4cWjHsfPpFxcSDl0AWTY4613dnju5ZfDa3bb394+ukML4f0Jjmf+ZgL8w3/0WU7PZT+0vnroX584Md84v1TlmZOCP6pH/OhbZrlhV5+dm2rcc1OX0ckVlrsROowYrXcQWHQe8HmehxdnxJ7Gj500iRNXSneMIxwT5ayUppBkkGUuk2CMC7iMsUUPZw5uB3Cn7QWedgAJA6iGhnolZbSeMjXaY3JshScOxfzhgxUOnxxl+4jHzvWweb3P5nWwe2uLbtpi78EGFeUxNaYYrcNoPWJsJMX3NUK4xdWLfJZaCStdS7OTMrfss3V9nduvnOPBZ7ocPt+gGiR4ykeIEXZuUvzgGxa4efccf/hgnb0HRlnsaKYbKaPVlGooqYSKwBMEnsTzXKyiFHn60KHc4npYjWEA9DQz+e6WpxZTQ5o5cKcJxKkdPhOXlemnwjF3ImilgmZiiXsROu4RJRm/+0DKn30zRVhJM7LooMuH3jjP7VcKAqk5ff5c48Q58x9/5O9c6b/84qc/fM0N7/mbB/DzMytIKX/0ox//7C8ffuXUxMYpjxeP1Ei68PGHNAfPLPGuO1bYPr2C5yXs2tLnNz5Z4RNf8bj3hh7rJjLa7RQvCvA9n8D3iGJN4Lv0XgHwJJHEqdt2kzTPaWfkqT9y5pYYyxDcrkiZMzdo5QomvmcJfUMlTKmHKWONiA2TLWabXX7jcx5feXacpeUal08Jtk4LNk37bJ4W7NjYR/srfOwRzYmzNXatk4zVJSO1DCkjzs9bAi2RAqwVxIlm23SLZ8hodRXLLcvsUoVdm0Pec2+TT37D59RsgKcThPAwtkaSSm7ascy272vxlee7fPQr4zx3qsamMcFkLaMWZoS+IPAEvudiFa1wgbMUA0+GxS0yY3GZlswBvgB5mjlJ58AOcea8LnFRPEoFvRTaqaSdQC/OyLoRmyeb3HvPCrdfF/GfPuEzPT2H0ppb1/V55x1drt/hEcfjbBir8+zBmKmJ4xMm2f6rV9/ybmXtyu8I8VczceuvBODWLgLi7+596qlfPnvq8PSJMzU8zxJow7YJy4UVjycPTLP/WI+61weTkQGn5xT/+6/XuPGqDt/3hh5vu63F5EhEtx/Si30CzyNOPeJEDwKlNFUkmSRNJUkmSFNJlgkyI4Za2wgGqsQ65pbCFYtUXizyPUPgZ1SClHolYnK0Qy/p8Y2XLB//5gh7D4wy5nvs2WTZMC5ZN+GzcUqyeV3MZZuW2X+qx+cem2JEaaZGBI2aoFFNaHYzvvxUSN13KTVjoRdp3nFnxJeedp6YZscwt6zZPF3n3Xd12HuozcGjPrUgRUnhQG6q9GOn9X/w9U12bZjjYw+3ePKVUc4sV1jfEIyElqpvCLXB90ArgcoLY47JobAfmVyqGTPc4dIc6I4gIMkESZYDOxP0U0E3FbQziGJDGsfUwg7vftMy739Di5uuTJkagV/8e11SG2EyRaA9Kl6VuaUR5pZqxKnktdcrlPDYt+/o9GzryV/ec+Pd5uT5ld/bsenbD/JvK8CtnWffSzAzF3zwzMmv/1p3/osT12zThKrKwooh8lN8z6CkperDfLvGbLNGN7WkFqxvONdKufBUnadf6vLJPW3ee1+XN925wviITxwHRIlHnHgkqSbJgZ5mijTLCzbZEODG5sxthp4yIWweVJo8O2PwvYzAT6gEMfVKj4weX39e8scPjXLg5AgiCdg+ZtkwapkcVUyN+6yflGycSti6vsXZ+Tb/5Qs10qjC5s2C0bqmUYNGNUF4Ma1ejdG6RQiBtZCkkvFAkZqUduLT7mYstxTn5ytcfVmdH3/nCr/6JwGn52toleQLQ5OmIf1Ysn4i4KbLW1x7WYeXT5/n49+s8OBzo1xoVqgFiroPNc+6oFyBlq6cL8Rqd13uesBYF3hnFtJMuPx5JogzVyTqZYJeBr3UkqYpJomYCHu8+b4V3ndfi7v3pIxWNGlWodf1mKwrjJHEiU+7F3JmocJSK2S55Uba9WKfhWXL4dPzdB778vQ/UObX3nzv3ak1F//g+Pkql28Z+esJ8Djucv21lXedPfHorz/1+GONdi/i+sstvhcws6hZbCqWmwlSpihh8JVhJBR0EkE/E/QySd/TxGnAXD/k83trPPJyl1u/1uGn/k6bq7a2mB5VNKqaOPGJU480HYI8KwBuJMZKrHWSwA4CSpDC5GV+g9YpgZ/iqZhWL2G+lfDvPxNycm6M5w+OYo3PREUwPWmZHBFMNBQTox7rJiTrJ1I2TXWZGF3mKy8YnntllGs3C8bqknpV0qgaapUY4UUEgUYr9/uthSyT9CJNr5+QGkG7Z2h3LEstj5nFBnfs7nD71St87GshlSWFlokDpNWkmasR9CKPydGQm3d2uPnyDs/cc4HT85I/fHCUuZUq5xYDfCWpeQK/kGHSBZ4DIi+kCo7JUytIDSRGEGXQTyE2FrIU0gSpIjaO9bh2m7sft1yV0aho0rRGs1PcD0WSeiSJph97dHo+zY7PUstjYVmz2IKllZS5pZSFdsZVO5Z55KFvTswvB7/+mrtuXu71u5/7dmLy2wbwuYtH8f2t6isP/O7ls7MvNbauv8B4w2e0ljJahXqlQjX00crL9V8KGLS0BFoQpcJF55mgrwVdL6Cf+SzGFR58boQnXulRCyJ++C1NNk+kbN/Y445r2mjhWsSEcHLFVSWdV9raEnNjEdKihMuZW1KQKS+flDx7SPPFvXVePlMnTqvUtWKqYhmvWcaq1uXBG5rxEc3EqGD9eMrGqR4bppZ55EDEb31xmg2jmqkGNGqKRk1Qr6ZUgognjij6scarOVBZK4hTSagVN+zq8fRLo8741MtYaXksrATMLozx42+d5dzCIk+/OIUnAZFggDTVxIlHFEs6Pc1YPWS0UeP2XV3uubbL971unkNnDV/aG7L3UIUjJ2qkQhNFim6iUEIihFgTeOY1AWtIjcUagycyRvyYkITbb+ywY0OfzZMJH3hTRMWX1CoecVyl2fZIBkSTS8dUESeafqTp9DxW2h6LK5rZJcvMYsLMYsrsCqxEiqUooOJfoK++3Eizs5f/8Ps+oPYdOJxdv+fb0zTxbQH4lx55mYcOjfhbzjzzI/NLwb/+xAMJzbjC1vUd3nlXn2t3tAjDBo1aAyGqtLuKbj8jTQUWi5JuK/UVhJmlkglqmaCfQd/z6Gce3Syk3c74tY+NYdOEdVN9rt7aZ2Ik5b2v77F1OiZJRK63JZSYm1x/SmkQUvCphyvsP15DaM3pC1XOz1YJK4qRQDBaszRCQyOEekUwUlU06oqxumZiFCZHU9ZN9Nk03SKzK3zqsQa9To0rNlsaVUW9KqlXDPUwxfNivvJ0SNSVeNMgczAlqaRWUbz51h6PvmDoRJJOL6PV1ay0NTOLVa7aUee9d7d4/uUqp5fqKGmAJNfLHkmmiBJXmOn0Nc2OT71SpVaJuGpzn9t29zk71+TUxRW0l7HvhOaT36wilHLgFnL1TbQGcBMJkjhj27qU972+x2QjY/c2y7oJyFKPKK6Tpq5rKk00SaZJM1c8SvMiUpK69xZFml6k6EeSbh8uLqQcO58y38loJinX7mzzrrt6bJkM6HWW8XX6r18+8Fj3uj0bPxw1n4mDkVv/egD8hYOnkXp218ut87/Ru/CM3Drpsf94nUdfqPGN5yPeeleTdSNd7t4TodU0aRogBXieILQgRRHsufxsklkSY6lmgsRY4kwQGUmUSWLjkRiY7zT45n6DJePP9rqRDViTP4sqXp4iEwIhFEJIpFKkiUYajacl9QB2TFlqnqEaGKoBVANBrSKpV5wcGqlLxhowMZIyNRaxcapNxjL//tMhj780zc4JGKvm7F2V1Csp1UpMrdqjUqkSKImSuQbHyYEk8ej3BL0oox0pOn1Du2dcy1zN59zsCK+5OuInv2eWf/tJzZmVACEM1rrZL0nqESeSfuRsrPWephb6VCsh1aBKGCTUKzE3XRHjewm3XJHygfu6aJXmRSCDEHa1KM8lnTESISSBpwCffqRZXNbOt5MVMU8uC1NnqXAgl4Pv40QSJYooVmRW4GlLSgJBh3fe3mL9SMLbb4MsbXBhfpRDF6ssHtorr9jW+w3Tmn+s34kOfDuw+d8N8I//6afZut6vPLj32P3Pv3RE7NnoUQngik2WsVrGQivka49XiLKEp19OGA8MgXSBk5YCvDyjkRUAt3k0L0iNHUb2xulD9xTERpJaSWY0iQnI8rRX+TGoUgrQQrhKpYKwYgm1JVQZgQeBhtC3VAJBxZdUK5JqqB3Aa4LRumG8kTIxGjE93mHj9CK/9UXDRx9cx5ZRxWTd0Kgp6lVFrQrVSka9knBx0XD8YkDoO/stFE4/QT/W7FhvWD/Zp9X36fVtzuKSlbamXgmpV0f5wH1znLg4w29/bhNaaiyGzGSkxpKkmihW9GJniuqGkmpfUwk8KkFGs+1iDN/L8npChpauUUJKV84X+dNZVwQgcpALmiZ3WRoX12SZxBhJaobxTpoJsqwAuSRLhfMQFTWJTCCFZXwE3nRbRqMec91lgige5cJcjYXlgLllj14ksbbK0cOviJUV7k/VnuMPf+3TvXu/678vR/7fDfBqLfJb3eM/d/vOEz/n9WLpaY8kA0/7hEHKaC1l/ailG2v6HU03A69m0VKidSkXnaemXLrK5WSzoupmnP1zUGbPnXJOy4tBoFTW3EBeyXOBlZYGLck95OApxyqB56qXYSAJfUklUFRCRb0iqVctI7WM0XrKeCNicqzL1nWL7D0S8bGHNzIWBqyrGxpV4cBdkdRCQy1MqVcj9h6GfYeqXD5lc907LJv3IsUtuy1XbO3xzIFRurkFtdPTOcg9qmGFSjjK9752iX1H5nj64HqwCmMyZ4dNLWliB36SXqSp9i2VUBH6hsD3CPyMQBu0zvC0sxgr5TJZUjprMMIiGOq5YXDuLMSmyEiZIv1aSsXmWavUiLw6mlsB8meWuf+ypyz1MKCqJzhwXNDrK1pdxUpbstyGVjslzQwP7ZUylrP/5713Vv1N62u/BMTfMYA3W13Z6vR+4Vd+43f+8Z07X/HfdneDc7MjLDV9liuKauhRryraXedCy4xzfyhJnlLIU1QSV000FpPlKatB9RHHzjnITV6JK4oV1lpKlfdVO25Rqi4WkZJ5xVJRMm256l/gK8JAUQkE1YqgXrE0qhkjtZTResTESI+NU8s8fbjHL/z+Os6cG+WyScNoFRoVRa2iqIVQCzMqYYLv9Wn2LUoqPGWRcvjOMuOAkKQ+jUpCNzV0c591t5/R7kqaFUW1HRAGdbavT/jFH2nyLz4ieergOiwKYw1ZZkizlDg1xImiHyt6gaQSKUJfEviWwFcE2uB5Lt+vlXUAVw7gKpcpQtjVDbp5ad/mJGJzL0uWAz4zw9csIwd98dmGPy9qEEkKUey5tj8D/UjQ7lJqCM9YasPpxYxdW17xt03yv9986095SdL/Pzwv/EuX8//SAM+SJtbGv7Tvucd+evbsXPjR4xN86N3z3L67w+mLE8wuVqhWfJZbkmYo6UWWODGucmZtDm7r2EHZAUsbYwdlZDPI0YI11nWR5xbQ8pM1AM9ldx5YOoni/OQuXabzVjRPSwLfDQAKAzeSoRJYaqGhXs1oVBNG6jHjjR4bp1Z4+lCXf/HhSQ6fGWfbuMuw1CuSWlU69q5YqmFGNUxIspg/+lodqRSetCgxTBMaWzCdxw++cZmvPhfTjgO6OcA7PUW7o2gGmtAPCLwGu7ek/Mu/t8g//7DgyQPrMFaSGVdWT1JnNItiQxQ6u2sQCEJPEPiusulrO6jYamWQyuXGpbCuUaIA+LDkCeQkgqsluGxLHsgbhsU0C2ZQXCNn9+IelhaJzUddxJZe39DqunEVSy3DzIrg5ELGzVcu80Nv8Th9cjk8t/Toz7zu3nvF/ELz56cm/3K58b80wOdnD2Gtub21+LXKPdf2+cQ3q/zaxyb5+++e4bbLZ6iF41SCen6DFO2upBtL4qQoDw+f2aCaNmRoY4btVw7owvkoClAXF37N+yoAXngwikpewd5aF74TiedJ59/wBWHgZp5Ug4xaxYG7UYsZbfSYGm2y91CXX/i9cV4+PcnmMcFErSRNQk0tdP6VSphSCWI8L+L84hieEihp8rTcMMjMMkmaKjaMWdI0oZWE9CJLPzL0+hntvqTSVYS+h++FeHqEKzen/Mu/O88//V14+pVpMiMdwDNLkmY5kxuiwBDGkr6vBhLM88DTTqI5n4pFS3KZAiJ/fRWMO7lCXhRCDIpDJi8OFdXiwY5rSqaugqjyWMrNccnodDNW2lneICHpmD733LjI338nYCb4kwf7pOqRyvTGTbdLKf8iOH57Ab5w5nNMbIqqv/hL3/QfezFi41SH+Sb00xo/8+ubeMst8/zc++fYuTnB06MIESKlRvUkfe1MUW47K4F9FbALGWIHQLeFHCm+/hbvTYqhicr1b4oBuJWUeaNEIU8g9CDwDZXQUgmcfq5WEhrVmNFaj8mxJs8d7fPPf2eMl05PsXFUMVUzjFQE9VBSDRXViqASusXhSv0xTx8UdPo+oSJfZE6DF00ImREkqaYWKu64ps3elxt0k7wdLMro9hTtQBH4Ct/zc/08ylVbDL/yoTl+9r/CkwenSYwkMSZvlh72YEa+JPCNY29v6KPXqniSy5ShjJN5lffVQF7ISVsAPAd8lleKy7vtqq9L9zlJLVGS0etnrLQNsyuWEwsCXWnzz39wlrfcJOj0xonTDnfckLF1qs/Jlx/w53lj9d//9he7P/2ht//VA7y1dJDayJbREy9/6r9sHO+/dttEyMUFj42jligxeO2QB/ZuQHkLfOC+JtMNST92edHMOBZTMg8oM4HRYsjSZdYuAdoMgD1sCibX3oObIZyhSMgc3LnJSA0A7nS+px2T+R6uE8jPDVZBRiWXF/VKxEi9x1i9xYvHIv7574yx79Q060c1U1XDSAVqoaBWUVQriuqAvTPCIKVe7fPIPp+VZsjY2LBMXgDG5AFZkimmJxT3Xd/hkWeN66KJTQnkktCThJ7G0z5aV5DScNUWyy9/aI6f/a+WJw9PkxhNkjsAne3VMXmQyIG70NcSrXMTlhQoXVwbBu+vWISFVBGFK41hQWjt05RejSm9miFxZYVbMXMyqhcZmj3LQs+wfUuTH7ivyVtuClhpuZ7QfqxZV5ccP604uxi9dnzTid/96b//PT/xxtedXNmza8dfLcBXlmbptJZ+9qVXjr0/1DNce8UYYzOG5VZKq2toVAwTHcVjz6zjqX0dfur+hMs35B0z2gFUZqBznWYy8glNQ51WsPeqQHItc+dILypyA+0tCwfdUHcXjkGtcP4MbZ35y3eTYkM/oxKmVMOEWhhRr/YZH2ny/JGIn/uvk7x4Yh3Tox7T1YyRqs3BnbN3KKkEjv3DIKUaxKQmoh0HCCXxCgYfaHCRs1tuEEs8an7f2QXikLEC5P2Mru8YPPAlntZ4ujiA1rJnu+VXf2KW/+03DU8eWkdiNFEmiDOTs7ggTAyBZ/E917uq87hDK2cRdm2A7jo5mSJKO6C7qoOFWY511oB7QEIlYnLeezCZHcjPNPfpF0mC11zX4R+8p40vxjh1ocZK26eZD2tabMG52ZQLCzNcW6u+/9EnXjweJ/E//Stl8KdeOENHb9n28Nf+07UrC0vs2iipVRKE8KkEkmono97LGKkZ1o1a2v0aR04qap5G4C6epy1SCDKZa28lckMUqwLIAuxr/SS2vGcWrF0OKovtNu/QUXkw5VreHLB9bQfuwdDLct2cUAkjxhpdRmptnj6Y8vO/NckLJ9YxNaKZqmSMhJZ6Du5K6NKJBbgrQUbopzRqMQdPWR5+voYvJZ4yeRA3zFEU23eSKVKjufemhMsv63D8TIWpKvRj655RRrefs7BWaO2hpM2LRpZrtsGv/NgC//S/Gh57eYp+UnHFsNRSzT3cgYcDuS52L5NLFIlU2WCHU1KUAC5KIOcSvTIEuV0N8NJO69h8+OrIzDG6VrB+XLJ7fYOLMyO0e67i2elJWl3BStuysJJwfj4lzhRp5yzLsw9fe//9/3CbtcdPC7Hz2w/wubk5JidGtj/02N5/99T+1rtOn1+m8tqUmy7vk2XjCOHj+x61inJWytSilWC0rmj3oBK4YT1OG1tUwdglje2+L0Xu5SzJJdmSnLnXgltYpCrSgg4MWuWsrS2+NnieIfAMgZ8S+ilhEFMNI8ZHuiy3uzx6AH7lj9ez/9gkkzm4RyuWekVQC8UgV+4yL8axt+8AXgki4iyj3wsJlVtkUpS2fopqocgDTe20vI6IYksvESWAG3w/w/c0nifRSqGkNwA4Aq7bIfiVn1jm1/4k5clDE1xoNujXJKOZpZ5awnziQODZPPdfZFLsgL0LqVIAfPB+8zddxvlAIeY3xQ7uVQnsl0jM1buykq7usLAS8sIRiVbOotuPoNs3NDv5PPPllOt2d7j5qj6bxqffdfzws9nY9A0/c/HihVMbNmz89gJ8dvY47VZ42/zMoftVf4bATvCVp/rU/ITpkYyxRoanJL3QGfoz60AW+o4xC8CJgeHe+VAKO+tqrX0pwItLXFaFxU1w4x4K9ra5PLGl4UDOFutpk4+ZyAbgDvwc3OMd5pd7/PIfVfncU1MsdMaYGpFMhTm4Q6e7q3lgWQkk1cDmDO60dxjEQMxDL/osJz4TAav82IjVO1SWuWvVCDSvv7HL04dj2knASN7Y248NfuS86r52ANfKoqSHkK5Ag4Urt0j+7U+1+NLTPX7p99ZxbmGM3qhm1BfUU0M1hSBxo5d95QYaeUWgKcUgCC5ey4F6eWHmpYsB0Mvks0pGFrWJtfe0GKqkBElqabYTotjNVzTG7Tj9OKPbM3Qjy+6tGW++xUeaER56ZJadVx28/4orK38UR/1T31YGX1zu0hipXPHSiw/9Iy99jO++13B+doTzCw36/RTbyGhUUjylqISu6cCYvEyeg0znEXsBUTO4CI7FBzeeS+XIKlmSX+iCWYpyc5EFUAXAlUVLB2ytHLg9neF7Gb6XEvoJgZ9Qr/TQussj+zJ+98sNvvj4NLFpMN0QTIZOlrgUYJEnV/lT5MxdZu8ErSOeeGWUbqzZUC3ez1oGL9JqkiRVhJ7i9qt6pMYBvJcI+kU2JHYj1zxdpDhVDkRHFg5sgslRwftf16EeXOD3vtzj0VcmmEkqdENJI7XUtHUg13kcomwel9gc5MU1FEPvuATJkMXXnig4kCoFm5dIyaUV3c9MKa0rKCrVDuTdyCBwC6E8iUsCVeWx7xWfi4uSk7M9tl7cx85jx4mT//a6z18I8G7rJH/0qYeYnBjZePDw8XueeLbLPTdn3H1NzBVbq6RGoqTBWEElyFzbWCYxeYlW5KVyIawzsJVXPZfq7HIgOSi9D2k7j/DtGmlSVOWcY1BJBpOvCub2lPNiBF6C7yeEXky12sf3u/zxg5p/9QfTHJ8fxwtC1tcF40FGI7DUAqjlHfaVwFU7w7wg5PwrWb4TOHmy0MroxD6+UvjSDgJMSh+lsBcUpe049ah4fdaP9ljp1uklIh+35mIFz8vyNJ/K050ql3vlwNU5H991d4dbrp7nV/6wz0e/MsVSWqMbeNQ8SUM7D06gnXOzaIbQRdEn3/nkQKoMC0BlUlktVtYC/VtLzOI2CiAuFmh+XQqLRpKS99HC8fOCQ2dTulnGXdc3uetKw6aN0/9i/fpdB99332+8FKx7J9fs3vbfB/AkNfzI9926/cypw791/tgxRoJJ9h5oc9eeGa7Y1mW5VSHNTTgFuJ0vWwyqWEPuxdlYBxdEDFd3UUywpb+z5iGwQzaRw8UzALi0KJkP5hwwd5aDPMXXTpIEfkTg9Tg1m/LbX6rx2ccmODE7RqPqMR7CWJBRD2xeei/ALXNwy0FRKMy1d+C7hdOoRXzmCc3R0xXCfALXoF2MIcoHYxxsblRKNVdug7ff0uZ3H5igU9U0Eks/sQRxHjcog9Zu+JHTzgXIvRKlul1h66Tk53+gy7U7zvFfvzjOiZkRltIKXU9TU4JqDnRfWrdw8izTYPcrrmuRPsTp82Gl016aJy+B3K7S5rwKBlZr+WEDtCDJu4gyA7ERLHYsOzb2uONKj263wQOPdq79rjdt/sRVV77+La12+y+UKn8uwK2NAY8n9r64+ZWDh3YGwRl+6O11jM24fGNEJejhe12yzCPJNHFc9EtKkqLDJh+LVmZpg4C8KoYdsvmqD24HVzM3A+VfitW7QgFumYPbZU0K9s7wdOo6d3RKEET4OqKdxfzGJ3x+70vrOb84ilEVxkcU475lxDdUc+auDsr3Mvep5NIkz50PwO276mWUxBw9F9CJA8aCPItTFJ2KrMRgQZc8KYmmUdPs2Byjgj7tuE7PF1QSS1QAXGd5oUa5PLYsLMCvFrwqpka6/Pi7utx/7wy/96UWv/2pCRZ6NXo6JNSKqhZUlCVIrWNz6aSKlkN7Q1HlvITJeRW5sjbDUvqZKe3MtkRmRTYpzVwXUZwJenlTc5QZjM2QacKpC4oPfyEkM4KxsYvc1dy/M2l7m6/edeupViehUfP4Vo8/F+AzM3OEYW1qeoxP7F18zgsqfaanFwk8yxMHLV95yuOm3RH33NBhrCoZqXnESUAU+/RjjyTN/cNGYI0csJYpWHrA2mIA6FevUNpSOtAOgL1KnsjcJacyB3CdubkqXkLox/heTLMf88R+yR8/2OBTj03Qz+r4vs+ELxj1DTXfUg1cv2gB7jCQBIEkyKWJKwzlmYkc4L7nKp8nL1oefa5KnHgENXtJgFk8BmXu3IoaJwrP09x3S5uPfb3D4XM1eqGb9xJ5Fj8FLzF4sUEp6fLW0o20Gwz3KQBe5NiNpBpo1o32+N++t8tVWyM++mCdZw+OMN+r0Vc+nqcJtaAiIZB5GrVIr0qXzh0Y1kTp+pfIpszeZZZeJT8ZvhYZlcw4X0ucuXbFbgKdxJJlMSNhn80jfV5zU4dbdvd54IkaB081kNqycYPlKw/t9y677K5PdDvN6zvt9vxfnsFlQ+5/5dhtX3vo0ZGvP53RTcf5jc+OYYxhqa1YXJR89OGEsUafN9/c4vXXdtm1NWbXZkU1DOj2A5JU5/2SKu+VLD746p7JtQy+yvjjenQckw9KymZg93S626JV5gCusoEc0Tqh2Ul4/IDg9x9o8ODzIyw168hKSL2iGPUsDd9Q9SxV31LxyVnbMXclkIS+IvQFoU/u0DM5uA2B5/S30hFHzsH5ZugKK7m+XV04GfpnXB+kA3lqJHGsWdcQXLGlx0tnUrqJNxiw48fObuqpLJcoRaEG5JrOnGLxFGnIJHP+8Pfd1+NNty7zjRfafOQrDZ492GCxXaUpfTq+xlcCXwoCievhlO6UOiWGi1SJ3Pb7agBfi51LgJ2bsuzQ09/Pm5m7sSGgzzVbW+ze1uH11/a576aM0bqmGkrefGPKUqtJZlwrXKfbZO7s10fWTbz+tvWbr3iAP2d40J8L8ObyXBBo8ZsLszO1bWMhKx1Ls2toxzCuoTYlaCcBrVadP3hgnD/8co9rdjT5e29Z5vvf3GR8JKTTC0lSTZZpUuO0utPmaxi8vPxf5QIOWbvImhTANvlrhpIZfpHNkAnz7ZRHntN8+fE6n3t0hLlWDRGGeHWPhoYRz3XyVDxy2QEVX+RPmVtOc93tC4KCvQuA6xTfTwn9GGsTHno+4PTFCpPjAk+aXMeKYaNvie3sKrupohd5bFsnuO/GLp99KqaTePQSQehZ/NSxeJTY0i6lBvlqd3RiAazi2spho4Jx+fZKEPG+1/X4rlsW+bPH2nzp8SqP7K8z16zSEz49X6M9hRYCTwo8KfGEzaWWRSFK0rD0mdZ8vrJcKQLOLAd4agSRgcgI+pkh7SeM+S0+8JYFfujNfa7epkizCp1eQKvtM7foJgBbo+nn/Z0LKwq1dLG2Yxe/efHC7FVA7/81wOdXMrK0//1zM0+P3rVnjpV2nfNzgosLKcvtjG7f5APkXXGiHUuWozr7T1T5vz9SpRVd5H+5v8NIPaXbC0kzTZrpgSY3RuaMUwRehUAVQ6EySE/Z0tPk6UCDyAGudYavE8IwoR9lHD4Ppy4oPv61ER54tsHccg28EN3wqCpJ3bPUtaHiWSoehJ4Dd+i5mYTOZipLT5H/uc1BbgYg9z3Xnnb8guGlkwF4Xr7N21KJXqxarcMccW4tzQRp5sY579kRcfXmDofOV+mFgmoqCBJLpMhTeyZn7yKbUqQgh1plkGfPU5HGqLwp2KMfe1QqET/05oh33LHCV5/r8Kdfr3LqQsih81XilYA00PS1Rqp8qi+g89eCyQeyBVZlQwbvgdXMnZF37FvXqZ+ZFKKIca/JT3z3Ij/1vpR6UGNusU6nF9CLPPqxJordgQXtnmapqbiwYDk/b1hod9Cj+xhp/PlHpHxLgHfabZEk8U8+9ORLow2vw8RIn+vHGmSmilIJ1SDLp4xCP4aRxNDoQ9WTXGiO8m8+ZhHyPD/xzi6V0BIlPipLMcbNzBhoNASU04E5sItCDsIicUUNJ0mMG/0gM4LATVJNs4yZRfjaNzXHz1V4eG+F88sVjl+oQRCgqppQK2raUtPGZRE8Nzg/9Ny4Ngfi4inzp8oBTq65c3B7GYHn2NstrJiT83DwVBVPrk4PDiQKQz/4wMdRZFKM62lMU4+rt/W4YrrLgRMp3dSjnggiDX7qrrUqAVxKgZByFZMDAykwtLEW/nPXR5lkHpHn06jE/OAbI+6+tsX55RYPPeNz4mzAV5+vcmExJOt5GKlJfIWQ+SG7eVe+JK94stoPtGoRs0Z75537mBTSiJGgzU+8a5Gffl+KlqOcnWnQ6lRo93w3zjkqJt4qOj3Bwopl//GIIGwxPWWRyQuTr7/rH/yjXuvcr1Yam181fPvWAJ/5JElqWJ7r8NSZUUbrETvWW5QSjNY9Ql/m01zdWN1+bKkGLp2VWMWFpRr/5g/G2TQa87439gmFIc10PkZNDrZScu296jGI2IesPZAiKsMLMpLMcuKs4KUTiq/trXLgpM8rJyu0ooAoDsDzUQ2PQAmqCqraUCnlgQNd+DQK26zzhQe5LPF9he/LfAHYofb2MldZ9JzOD/0Ea2JmlySRDdBa4kuLLqXZ1hD4AOSZXd3vGKceAs3UeIxUfTqJR1cLl+lIhoYxrcyqCqQUpSi2GHZEHtjbYWtZMRjJy9Rg/EQ38lk/FrN1XcJNl0X04h4/fLLJgVM+X3s65KWTISfOhCSpgkBhpQIhyWSpGlQu5pdT5KLQK0W0acCmkKX4Nua7713hZz7YpcIIF+brLK7UWWoGtLq6NMY5f8YuML1hl+SyzZpa6HHqvKn97scfe78Q6lf/XzH4M3s/T7vfUp2ll8TlmzSB9lhpV+j1BWMNx3JpRbjhjNlwAmmvn6GVYbbtpMbcrMfJix5G9QiUQQqdzyyRA1liB/nhYV+gkM43gjAIaUliS7fvGP3UOcmfPBjQTRQvvhJy7GzAQscnynzQPigP1VD4UlBRUFWWUOHGmanceKQca/uecEWPMrg9iZ/LksCHwCfPmriSuacNvpfmFdGEShgzt5zxtSfrNNsBYyMCnefiC9PXqwVjxf0eBIRGEkWKyQnFm+7o89Vne5xp1uh50skUDV5q8ZIiZ53n2GXm0oWUZ53Iwe8wVpd+hwO6nykyrUg9RZJpksRzqVQvoeYn3L0n5farIt59T58jZyX7Dnr0YsVHv1bl5IwHQtLtabJYDdqmrGZYDXo1Li8+MAayFC0SdmxMWD+d0Z53815ml0Lmlnw6fTce2023dQNBs7wyPhZ6LC6NcaJtOTeXISunxetec7X60le/nL7tTW/9bwO4MQKrGr9x4Hjnuss29Fg3XmGlo0lSARjXepS5poU0t326mXYe6ydTJqaXuTlZ4uyFmErV0pMCKQ1WxvnndRdh9X0Xg+E8za5g336PxZakEsLegx5feCyknyj6ieLijI8RmsR6GOGB1ohAo6XEV4JQWsIc2IGyBMo6D7jOc756yNx+0Zc5ALfKezTFgL19z+D7hUErG7C37ycoFfPNFxSffaqO8rVLt63S39+awYtceDboTFf0+x7vuLPH555o8dGHRuikIbVch3uFDk+KoowddAsJIQcAc79KlrR+CeDGMXmqHZN7WpFqjU4zB3SVoZQbpD8Wpty5O+WO3QlWRLz3dV36iSvEfP6xgGcO+lQCwUJLse+AT6src5X0aiAv2NxgjaUiDb2u4LG9mpPnM1ptmJlT9CKb95qSj712JfzCwDW/7PLmzY6lFafcfdP8ddMT9d9A8OP/TQy+0lphpD7S+NRnPrf7K08bdc8N87zrzpD55TrtrufmcGeSNB02lxaNpUpaxhoJu7e12LBxjm6U8JEvVvhH/3LMsYt9VZm0anuTUrDSUTz7kk+rKZFauZkoVjtmEho3F1iD1Egp8aRwYJaWQBp86YDgK/DVcEafA7kYNjxo1whQNB6Xwe0YPrfVegWDZ6VnSqATrI05v+ATRyHBiMTPy94qd+WtqmIWHT0My+tDkMs8DeYxVldsmYzxRZ9eGtBLBRXthmAWHpKioKVk2d4qB7/L/Y4ioDelIfgm75kcSqM0zfK6gcrPP0pJ0gyVuFqCVhlSpmyeNPmOYbhqa5/YdpHa0mwKnn1Js9KVw4by1dBec6fdbvzCUY/3/vwknd4I05M1rtoQM1ZzBrCBKzEv4RcDQeMEWn242Ia33LXEvdfXVS3o777rte9u9PuLrTBcfZrbJQCfmV1kbr75q1H3ldfdd8MSX39JMDm6wr3XdfMZdGE+bF65Sa75TZLCgWGk1qcSGHyhsTrm+YMen/5qnUzk+3UB5sGnLW1rRd+iEJjiyAVyz6lQwyBHyjyVVYA6LztL8oNbi7xx6VXnnfSK/Og9BuB2bV1uuH7gC3zNwGLqGDxncW3w8+qo5yUEQcLZBcMffrUG2seTYhhgDuSJuITBy5W+YkioA5urF8SJxwfe1OPPHunxymydTuZRTd2htM4FWLgzQaiiJsAwRy2GsY1TBrJk8CqeZuCF0VrhZW5eipcDXclh0cz5xvOvhckHB2VoYRDWMFk1vO01xg1fEkUGbBBmDpIGAx4ThkyC+GqF//KZUdomQMeac4uWTs9Vbouqb2YgtZCkbrrtchf6NuV1Ny3wxpuafOLrmuuufuV1e6698VfTNPv7fyGDP/CVbyKl9F88MItJBYeOT/PzL6f89Psu8iNvnme04Q4HjWIXkRdpPgfwlEoYMVLvooOETz0W8sizNWLtO2fPICCRpUpOcfeHWyyD7daBuWhBUwI84crKgXBSQEtKr0VTbclIpCnNQSE/mW3YVT8EuBzIlsC3g5Y23zelwTkpXs7evk6QMub0jGC+FSK0JpCskidSlNYvJZtpSTqsAl6e6YhTj4lGxLb1PQ7NRPQyTT+DIBN4mcVLcx2eMsgsDUvoalWnwtAAJYeNB4PfJ8gyg84MmZIoXRxfrnKzWoZUJt8pzDA1K4aTsdyrQcbFpCw7LOvn2a/ha5FDz9Bexr03x7zzzi5/8mCNVjfknNC0Y5cIULJwHrrceS+F5Q54qscPv22On3lPRrMzycV5zbr6PM889bD/avWeSwC+tHASgK2TkoXlddx7jeHEXMy/+dMp+tE5fuCNi2yY8MG6gfSZdUf+SZnhKeeoW+n3eeCbil/7o1HOtysuUhNqwMKrwJwzjijao/KvlShyrqAFeMLiiRy0uQQovh78LCf7oRWUQYOtr4QD+ypwS/fqF0Avgs8c3EX3jzYDieJpp099PyEl4UtPVJidr+CNKPyyh6OcQVm9Zw2ZtaSPy0WffuQm2L71rg5P7O/TSkO6WlNJDXFeTldyaIgqDGdCGIadQ6VA3pZTh/lMFQuZcr9TG0GqBDqT+Sl2zsuT5kAfFtPMoMAmpRkW3nJmF5dkv9xyHv68WBQZmclYX0v4//xAiySVfONFw/xynZbv55MIhunUKDYgU7ZOtPmhN83zo+/I2HdkO6fPj9Jpw0vzkh29o6tO73hVgD/+5NepVKqveeTxr9wyXVniNde5i3ToQotv/ucq//Zj0zx3sMmd10bceEWXG6/I8JTrqBbS0s8sjz4n+bNHanzp6ToXlqvgBaC0A3d+hmOhS4ubL3PH2gDUuDRbUSYuSsZuvslQ46oC2NKdJ1+MQigDezAHReH6EV8N4EXAWehuXcgSm+vt1V5y30vwvZiZpuH5YxXQPjqXJ7pkUBoUQtYg3NUASk0BhkE+vMiJJ4nHjZdHTIz2aC5X6aaKqgIvdZ9FZdY9kzLAcxANfpFcY0suOqhyX5AyZEbgGUGmJJkyZEqQ5iAvm9cKO4QsQC6KDi1b2kVKBTlWvx+xqgqdIYXBGM2e7TH/+qdX+PLePp/9Zo29h2pEmYeQ7hqFyvDaa3rctKvHXdf1ufe6FGzAxx7JOHkqBZuxfipi82Z1y3XXv/013/jG3Y/fd99bXx3gZ2ZTfK/3toOnxQ2fO9bhbXcl7NhkeOTlAKF8eqbC559t8PlnI3au73Pdjj6ezLDWeRRio3jxeMCpCxVQPgQamZeUlSizsiveqBzYDuCrgVGMXCtAXrZw6sIbkXvAC6unay4uOlWcLFGD7pUhsIvmW8feuebWDPR2kRJ0jD0EtzdwJyYIEr74WMATB+rIQONL4eZvDxyEwza6oeNvbTWzMJ8VLO4Czcwoen2PO67p8fa72/z2F+vEWUAnk4SZOwRKy6FbcQAwKXOWLP+qb8XkYLTMhy2JAbgzJVHKOEaXMh8tYUpW5LIHyA5BXgbwKgZfW4nO/60wpFlGnHpMNlJ+5M0J913X5KUTbZLMbfTWOHfj1TsMW9eBtT5xUsUYyz3XLjC/0OfyzYbX39hjdGTyhkal97aanzz+qgz+zEunqFTqb9q794Ef6C3PsLI8yqe/YVHacm7BY0tdkVroZwH9JODsYoMTM/khqoPEvkBoga5JdO7B0NLpZudlGAK3YO4BCBgakwagH5zGMBxtUDC3O4Kk+J6cwRm0Ya1i8bwbxlOrwe3GKaxh7rxn08/b2zxdNBykpWdCTMKfPtQgswFqUL0sB5jDvsYis7FKgxddTaaQKa5JxM36U2SZRuDxvtd3+aMvRayYhF4W0ssEXsqAxaW0yFQMTGcuXbhWi8pSalKUQC7IdN71rnKQa4syTq5kyqIy52B01WM5APUwRbka1MUQoSGL50yeB5sy/7tIg0odm/cjZ0GYGk15861mIG0szk8TxZqVlivbJ6krFt51lWXblEtzerLBqbkeYxvnfuDWW9/4sLVHvyrEFasBPlG3VML08orMdo6HhjuuqrHSsbS7GbUpQyfK6MTudK0oFcQGEqPIrCIrSZ+CPMp+BUUBXOcGHFhfyyAfbGlDIIsSo6/VnAXoy7M9lBJDLZ477lYNu8mBrZUYZlIG6UDXce8ak23O3MMAU5fYO/Binj8mOXohxCoPJSW+NLmsKu9EQwF+ibXUFsHf8ByhYb7agTxJPXZuTLj6sg5PHamQKJ9eKggleJlFp8IRh8i7cNJchyMRGFb/SlFicVGSRsNpVMVMSK1MDu68nU3ZErgLL5DNbQKFRGGwewzZmpJUKUmWwc/zhSGH2n2QhbGvdj0U/dij29e0u86r0upIVtqSlXaPsXXsbLbE5f2e+uolDD5WmUXrCtfvXEJ2Upbakk4Pd7ruUsb5hRjVdrnlJHVjjbO83FxMOvpWdtcyoMvG+VcDenlbVwPP9zDtNpQswnXPiyG4XZApBt3iegBuuQrg5eE/rtueAbAH1coBc2f42hV2XFdQgiXhkw9VWVysIALt8u7lRbjWg1Je/aUUYTEfpOzjHuSmjSJJNJPjku+5r83zxxpEWUhX+VQyp8UHsYkkB3exV5g8J14Yc3OpskaPm3zeY/lYQfeUKFPsSHbwtQOyXKXFRf65HYDlsDkiX+is0uP5UisxusPJmg6hwUKUqw6wTVJJP9IstXzOzWrmlizNTkann3JhPiIJW0xvnqfT7V8qUX7zDz9Pkiqu2jzD5VtX2JJGmMyn3fV56bjm4qLbzoVwXo7BTDprB46xwnZgBu90daK/AP2rAby8yteCZDh5adgUW545OAD4gMULuSJRejXAfZ0PAPKKowPzCqe2eINSvMm/zlY9tXKdO6+chk88WCeSPkqqvHq5eiGurWCurdaXO5dW6/Bci2eKNNMEmeZ73tjn9x/osv9EhUR5dKXEz0yePRLIzJauj3XtZYM8NAOQr/Xgl5k8M6AHKUSLzoqxEsZJoUHfptsxRNGoLCAdsHiJucuvA3a+9DqsjUkGQ/gLKVXKMBVtka5fM+LlkxmtviW2rn9108UDHNl3il40lGgaYHF+hvHJddVf+Fe/vuOzD8+x0K5y2aYub7p1BWsVjx8eZW65Sj20hF5RJVs99KUYc7yKnVjTelbeMF8V4Gt0eWmrL4CzdhyyLDF2EWQWU5u0Lg55zbW3WgPuonzvFY3Jxs0MGbSIFT2daf5MUF7M0fOaduyD0rk8sWvssZd+rlVZlJIetmtz4Xk3zrDwo6l5gt2b+uw/GpOZgJ7xCTPn2da5BlfCzf5zhaWCEQ1FkDlkcjGscOb2ED0YbOp+powbaa0NeQeRRZrhhIBiulZWdPevaSEUhQ6HVVLlkpVuh9LJ7WYFURZTa0VppEi+DwlYP9nnzusXObqgmWoY3nRrxJYpH2PG2bJ584673/CT1be/82e6WzZvcgDvdc4hzOIbX3/Lup9tzx0h7ozw1Is1vvyUA++IJ9gw4qYjae0AV3S8D6cXFYMX7TBKH9xIu4rJ18oWxGqAFx7qMoPLQZBZHqpZgJyhR1qVQD34Oi/yKPJcuAO3A/BwKJBXlidl9lZ5X6cfs9Q2/KdP11nshYjAc/JE2lW7ynBwzrdmrAHQcdkCW9zgAYO7jEqaahpVzT94T5tvPN9gMfKJpaYnJX7eQzkc+ZAzeOGpzzVvYaO1mBzcBotck1kROYPbQZBegF1JkTO4k0TZIIuSA1yWkgflYLOQH6X7PAT2mqC3NHN8+PVwlwF3bT1l8FPFNdsr/Juf6AGCVmeM42frHDsnscGGn336uYOPx1H/zwYMfvToAXw/4PzMMa68bIlarUGnL5moOEYIPVxvYn64qCyd0DVg7/KJDNlwcP2qkcffCuQDMIghe5fYsCxNig6ZAbClQKrh+DFVAnVxioQugK3yEW4FuL0C3GYAbk8X/ovV7O2pBN+P+fhDHi8fr4D0kFISFNbYUmpzcEZ8UbgSfw64ywWf0pZsciZPMk2aeuzZ2eVdd7f4/QdCjA7oSZ9AikHRR0lBUuheLmVyUWbyVb2wQ0+MUaCs2xWMFQ7cxZQwA9lgfooYArw0X1yKYnLZammyCtwlgBeTzLJSZTUtHeKbZUOAF/23WrvjUfrRKKFfQwhBPxbsP5Vx+NQyldEjGCRJ0h9KlDNzIfVqwHOHPQ4dNYReilY+Y7U8UCsFbKoYAywo6bfC9ZWfp5PmwxYH2YHSqsUxTD5a8FW382FgWQBeDGTJXwxwOQS4Knmode5L8RhIEU8NsyVeaTjQUHM79va0m1q13DR8/pt1FpoBhHn2RJSCsW8hURBrnJMlc90labsiZWgkJiuyB5qxhuKdr+vyuSf6LHYCYqXpZTJPT4o8eyOGzdiFG6Kkw60ddv2YAZszkAW62HlV/rXMv5eQKQbXvQxyIUWp+14MdLfLINkBGV7qphwu6OLodXccu3BGvnyQvilloYtsWkdLvI5Faw+toF5NuOayPlduj7hih0UGCmtchV3PXTzBxPjY9qf2PveTMm6i7SSBlExPu1SaUqKkgcWqptPC8ZUaN4swSd1k00QaksxNkXWrcDgno2yTLQ+TKUuSAahzJleCwdy8QUd5afZ3ucPFDXdnNbiLkw0K5lYl5r6EwYtxE8ORE1q5yuXJU4Ijp0MMAULqQXPu0D24WmINsxrDO1z2ogyZXJTkiRhkMgbtZpkGq7lyW8zODX0WD1Wwme9YPHMyRZeyOMPgrmz0KvzYcnhwgM3Z3A7z5EaKgcQsxzbKuEVjJLn2Lu7LkIyGEmUI9FWZJGHzGKDUVpc5gCepIM5T0EkihgOASskL1pJdnkkLWz4jNUWgQ1462GXH7upPXnn1vS++9PLxU/rcfMRCu7u+1eu8acvkOa7YOM5KRw6bEezgv31JFDwc5O4mmkZxYacstsX8fPbSACDK4GYt24k18kSUMhOrF9ogwJR5ulDKNXnw8jM/0lqVwV0CeX5evZdbQwv2Vvn3WicolfClp+ocXaiAP5QnXil1uXZHWjsu4tVkyjBOGTZim/LpZoWNNtZcNhnz1ju6PPNKFYxHmjkt7mV5dTdbLZUGYFs1UTAHubUliVKSKzL/Wua7iiye7tpn+Y4hRc7qhuHOMYg/SnMjV81TKe0pdihN0hTixEmNbiSI4rzRIXNKoBzDCS7dDYrXVtcjNhe5+vr2mzaML69veu1TWuDyzUni/tXOLX36kaSfKOLEnXdYTO0vj1BjkLt1qy+KBZ3cIeMGnhegdhd7FcBLC6VsJ129zbFm51gN7AGbK1Fqwi2BO59PODy2g0uBrYcDggYj3rTJQZ46eaISKtWYpw4r/uybNXp9H6oaLQWeWC1N1gaY5ZToqwKcNfp7TcqwnBdPUs1IXfPue/s88ESXvYd9bM2jlwX4gsFCU2vZU5TBPQR5+cgpF3zmC0w5Ns+k0+OmxNpFUG/y4FIaUToZQpQC3fJiL1KWl8jwwW6VZoI4dQDv9Ay9XkaUuFMrssyu2vEGfa35mU5J5npVXX+wYOsGhae0m7aWKfSmiQ7al6gdbcbtErVaGxCYLKDdqdDq+cSxYxRbXkYFyA0kmaAfSZRSJImkF2WDvyaFGDbxMGS3wc3PBzyWL8gwuBQD0Fz6dS6fijK9LAVEqmybtWg9HKGs80OYtFoNdG/A1u6plAswfT8miTMeeLLKK2eq4HkIqXJQ5X6acpf5t3ARrsqolFk7n7ZrS5VMB3I50OJFujCONVdtTXnzXR32naoQpT6Z9OgZhZ+x5r2UgXUpyO2a94IqFpvBKIEq5tVIgVUg7VCPD3ZUCdKUZhma4a5RxABFC8DarFI5wHYMLIgTaHfd+Z792OSdPKsXxWCJGjdGo9UXLPchzhXDuSMJdx1LGJ9OWVpJ0L/1kS/he5qZxRVeODZOKxIEqs9PvmeJGy6L8FZG6Efa+b5zRi6zEwy1VLDoMbOoiBLnbyhS4LK0dAumLrILxSIQJVCvehVDxharpEkpVThg7ALgw8mpA4mSM7djbDtgaj14HX7t5cGlVgmBH3PgtOCrT1Tp9nyoeUhROAcppQdfpYpZMFh56ypu7qCsKdbUFNYUfEoGrDjxqNdj3nxnxOce6bPvRADap28kfq7FlQGVFYFe/h4y8nSdcKmtcmewGgJNK4bSRTo2L3aVQvca68AuzbDQJswwmzK4l/nPhFm7S6/WqkK4+xb6lrY0zC2lzC5n7mQ9W2L+EmFY3MfoJ4KLLcu1u1b4R+9pI4VPs+2R8Sz7nj0ONkUru4K2ApGmeEmVMSlodevsfdlj18Y+oZ/iqWxglBGlqpXnueyDkimZTTk6U+elk2OM+MZ1lUlxyc0elrDLrE0pvSQGQctw2xNDDa5WVzPd7xk6Cl07V/61Ls8HXwPu/OkVU2hzg79WqXvqBM9LSG3GFx+v8OiBCoQapGto9koW3tUzQkrP8jevJlFKvvBB2s4Mm5EzW8w1GQI96nvcs6fLW1/T5eXTIWnqYYWiJzRexuA9iaykh1ctrUuZvDzEXqk8ZSgdm7vvBdKIgQ4f5PsLRi9225zBB0M7xdp7bNdIUJvbod0R6hsnuxyd7fHy4RCbaTwp0co5PQfTg8kXiXAJjHpouHN3SEWM0u4ptBWcm81Yai+7+z41qgeVP1/LPH0nWD85zvxyn6mxHvVqhO9lSJXhKzePz9Mpi01LnKUstS0PPl/h49/QZF2DnjRUA0nRqCMH4F3zoQcLQKz6MylE6aydtfKkXKYvPfMTC4ZALz318BDUAtBeCdRF5sRlTNyrUgm+l/DiKcknHqoDPkgPIRTeoLhjB+aqVdbYQe47T5ENMkelIGaQNi0zd0mDW4HJXOue2yHVoHxvreZ9r+/xtSf7PHvcTRJIjKKbiaGPXpCX8MVgv1itg4uMhnUsXga6I/Z8EVqMzM/zKYLiQnvLnM2Fex3suGYIYLEmaWBLDlGbY0JrqIUpW9Yl/Og7VxgdXeTB51znWDv1ODun0co1pmjl4o1QW+rasr6hOHc+5Gs9nYPeEmWazGoEFr3Q7pFkgqmRhLuuM7S7IVJa6lV3wu/UWIdK0ANiAj9hqW15+pCin1q+/kzI6Zka890qzx8aZV1ds3k0GwRMOb6HF6Ng4YFWFWtAX/x5DnA5ZPOy0WoVyPPWtOFhUzYHezEAfwjuVaxdei0aawupolSK56UkWcrDeyu8dKwCngfSBZe+sKXJsSUGX7tjrQLUamjZ0heDBoiSR2SVuzCTGJVnVDJNFHtcs7PPPbc5Fu9ljsUj4dM37oCvQeCXFenC/IZkpUWGHUwUuyR1KcEqi7QCZXHVTysQVmAFSCtWSRUnSSgR2ZCohB3GBra4RnkxytphVbTTV6yfqPF/fmCZd92xQLNnODmj+OYzFXqp5oUTIXNNH+V5KOtR9yRKW06cT5lbTF3Dejfjmiv6bNsg6ccWfX4eepFAi4xbdrXZvrFH6KfUK32U6nFmLmZ2JePzT/gor8LMks+TB6q0I59mx4fMoxootoxZxkJD6DEI/srBiJKydA5MqWIpSpq7ALQoyZNSZF6cvTM8vTgH9qqGh+HRJUqtAXdpKP4ge6IylC4BPJcovk44elHwkQfqRIkHVS+XJwxa01T5lOBy5mStaHw1iWJXA70sU8qnAxv7alpcUwskH3xzly8+WuPwebf4MqPoZsq5DLO8+INw+jvLx3Ks2UmKcLMMcGmHWlzlGl0ai83vkZXCAdzk07VM6T4V7F0E23YIdsf47ppZHO3LvJKZpoIo0iw2KySpZM/2HvVqjzSL+Z57WvTijCcPaGaWBVJLvvhEg/NLFY7M1Di7oN00YM9V3e8ZsVy2MaPTA33baz64zs/2/7MRvk6t1iMxXb70rKYbuc6RB58cY64VcPBsiJUaJd3IXV8KpupQ9yxVz1DxDNV8MmuQd9GUy+bDUWPDIs6gcFTW5wOQl5l/tclKlrwfA5CXzuQptLheA+5itt9Qb+dfSzPU3nlwGduUzzxU48WjFScChUYJV7nUuQe73Fxclillb82f+1ilwYepQptnUawxDtirQC4xRhP3PW68osd7Xt/hP/yxT89oMJpESHrGxQjS5Bo8K2KEHHEMMyt2oEdcwIt1n8uqYfAr89y3tUPwF+CWNicju3oXG0iWsk63+b23RQDppJtMIZICKXOZYST9WBP6IWHghqmO1VK++zWu2UTKlDfftMR8e5kvPlkhSTStSPHwC1WW4irf3C+49Zbb/tl7vnvXj+kkOjfaizpv2Xu0w/7P1umnDQ6f1e5wICGIegol3ZHTvmI4cySfJ+0rZzkNdD5LxBcEWuB5w2aDclGmrLuHYxVKR2asZe1VPnC7SqIM+jNLkqR8JpAanPRQOohK2TWSpHAKZgNwezrhyAXJx75Rxc1fcew96NwfVNJKsikPgMQa4l7lJhSiJEvW6F5T9oYM5wq6wDMHtnW53UzlWjzTfO99XT77cJWD5zyQMVZI+pmHJveLFARSdKVkpeGmuXFiGPTafL6YHWpwyFOGNtfgTrYMAGvd77Amz48bJ29MeZc2awjLlqyxg9+uBrtXkkoiX9HzPPxeVtp9iwKcYbKRsn4s5bJ3WoRI6SUp774zI07bPH3I0mqvvOXZfedG9fm5LhdnLY8/NYUWHgbBhgAyz110WQUhzCCYKhp7i7ElhQ11OFRn2PtYsPewQDPU2eXAQ5RAIsrALl8U4Zi68CMMQD5gbDtgcbUG3G4iq8lf3QVTyqBK+W6l3FOrlEylfOHxGgePDrW3FNLlvgcdNKt9M2srmGUD2WoFvtojv7YBeVVOvDSRShvhvClyWMKPE81Vl0e84zUdjn8sIM4UCE0mND0h0FmufQeBbpFRKaUJC2/QQKIUsUAhUSx2AEq3ASgLVthhiV+AkQ74ppAp+f0z5d3ZDO9nUUDS5YaLgR9FEsWqZJ3Ie0IHIywKWZjLnTxNPVVzu8ybb+gzuS6jUonQV28RbKorRtKAKPFYaRna3YxubEhS8lJpiY3kMEVX7oMctoUNrapFMUaVUn6rsyWr9dqrA9yuCiqlGLJ2cWhSwdwDoKsykw91tyqCSFmSJrIYauPA7nkJJy4q/vNnGvSlRzFBa9g1ny+sQRP06la7oQfhL1AnJY9FAaiihW1Ysi9rcLHKn5IZTZp5BFnK37+/w6cfrnL8ggaV5FLFoycEqpAnuR4fBJtrQF7k5i2giwWX/0zaXKJgB0BXeRpRWjFgZZNnTowQCGNXEVkB9ALkWZ5JyQyofAxgkrqT1+KE3MM/vIeFoW1wvfP3lxlBnEi6fUWrK1lqWlZaIXv21JmaqqJPLlgqss8t18zR7a/j7EzAzIKi1XXVpCQ/erm83a42OhVAX+3mK5fUB8wtS1v4q7BfGdiiBOayLbOQJi6DYlaxeJnB9ar8dqGzV291g6d08sTTMa3Y8Nufa3B+Lh93IT2EkIMBQ+W89+Dr0udZ661ZVcF8dRm+yhtd2IuH4C5K+HLwHDRDSEWWajZNRXzoXW1+5SM+zcRNPbJWEhnl0oZZ8T6sQ9ZAmAxBPvx/kQsG96asXS1RrByyu5RFFXZY4bRiWM00wiLsMKMD5Xsr3HSrrNRbq0CnxeQuUTqsVg6LaTl7F2SQpIJeJGl2YGYh4+x8zFKnyU03r7BlnYf2SJmZk+w77/PG25bYuXmSKAkQUuD3U1cuzbXS4EYWlUSR/+JVMqT4M7FqGy8HXUVl8xKAD5jcrpYoA6CXX8uALjG5NjmjDwHt5IgpSZXiqJN08KpV4qZxfTHgtz7ZIDKekydCDeTJoKm49N7WpgSHRawyrF8d4nZIoKVUYRn0RcneYowZVDcHJXzjjgIPdcqPv7fDkdM+v/cFp8VBkQlJ37jeTZkxYPChAavYcYale2uL6mrO1AOQu/cjrVvkg8prLhlF0ZsrL72vRuRSqHBXlqTpwJJRqnGUrdCukLfa71Msx8Jq2+0LVloZJy/EJLLHd91i2TSZ70bToxaRSLoLPlr0IDcoBZ5EoN3FLWm3Swow+VYjSmw9yHOXbnr5sZbFhx90uN2vOuWrzNrFyIISa7tKphnKE1kC9oDBs1KQ4hh7+OpmDS4tw6e/UWU5KsDtAO5Jp721WC1PVu06hbWghOfBxy59/ks9GMNU4SpXnxGDokq502fgE5cSZRTGuJMzRvyM+9/Q5bOPV1lsK5AJGEWC0+OFTEGU04XlN7iayVVJl6tSUahwGipWs/iAve0Q1EPTV2kkqFj9WymDXopBx5YQpQaXQaGvZPMoJErmzjFKcuehQdLt+SyuKBJAh56HkrDczTh8ZhQlfKLY/Yd9X67yAZQPCF2bvlu7agsgl12EdngFS3/nVcZFlIFdao1ay96yFFgOdXgBbruKwYeAzwavusTeXjXli98M2ftSBVPS3q6poZAnlw4nWsveq1KEpT97dRLP2bOUKix3QJWbIWw56LQSZYd58TTz0Cbl9j0xb7+1yx9+yQcVg5BYIYiMdsDJQSZz+TR06K8GOeU8uPtHTqLI1XJKCqfJZS5bTEmOljvpL/n8r9LCOCC+UvFv6G0Zgnx134D7jxrrCHnrugDtG0bqXRLj04vqaClhetyyZ2fKK6cMUTdlclS5aat6GESuykMXQUtJH68CNmu0pRneQGMvvdfDrb7syrOrUoNlth7Oxi6D2v2sCEgcY5ckSZExkSWJIlOUdIPfj5+RfOSLdWbavjvvWrpB70owPLFhTSB8ie4uae5XY++1j1WFnhKzl5uRy8GmLZuwMnd+jnt1x5+sq2X80Ns7PP5SwPFZCSIBFAZJX8jBIVIDNs/vlFi1Cm2JlIbBZwHuQcBpXXZlsChzHFg7lEEDk50oLRxg1bn2lBoaCjIdXOO1ztJCJci88Decd1OvSnZssvSTjOeOQGUUtoYW7euIlZ7Fpoqrd6zw9Scl1SB0PZi+IPCcZFFrjnsua2UxuGDDOzec9SEGE01N6Uz6wYeh/IFWs/cwsLSDTu5ifMGwTcwMU4ODaDtD6SG4iyBzoLtlhpZOmvh+QpQZ/svHGzz6fMUZI6SbpSildF07Yjh/ZdBMULzP0vt/NSYv4/ySVOGamzzIZOQAWG2fLdtoXbuZKTIqmSGVGpVq7rkp5sfe1+IX/otPlErXiGokaZ5VccWf4r3lxZZV9861pBV/qgZvLi8K5RrYitJ0BelK91aAlcN+UCMuIe5VUxiGY0dWy7ZLgvRCBosiueGSC1oLfM8dxFUNBVNjEV9/vocWPmGo6GegG1UwY4aVRcvhix4WV6QJfUEttISBmxni0myrWXXI3LZMAIPoP8uEG5aftyW5ZuTVh70W/04OFk1pAQ2CC3tJYCmLQZdymDVxs6xzMMuhBi/OztT5jOtBcClTPD/loWc9PvtolSj2oKIH2nvA3sWusUqevApzl1A8ADuv3nRcLnIM7LOWNeAGqwqX4WqveGYk0jipUgA9TTWVasr99/R48NEeX3tWubQhEoQkEZoeRVWT/N3ZVXKlYOXy9wWXq1JxxuXB86xK/r2btjDc3QuNXUa4a0a3eVqw1KhuikJTCRMlfb66mi3yBhaXXpRCEKdubPT2jYZ9RwwLKwI8hXbdFBkvnco4eHKcKzdpJkYUYw1LvZpR8d0YhQLgw7FdBcBLYwHyypjJO6ST1HnD48QNri/Yws24KC6xHfb1lRpmC3vk8CyanKXFpUHmoABQALqU5x7MtlZDcOsc3L6XsNKxfPHxKocvhk6aCGeJFYX2FqXptquOtl6Tux8wj1iz5f/5D7c9i0FKbvVTDMF9yXCgYfleSoU0GdJokkiza33C2+/usPegTzPOy6/G6fEYRXEOhCTPjZdttAP2ySua+feqADWgKNiavGHDBZ6FU7AAugsI7arPavLTGuLUkqQQ5a9F11gRFZTnGpbrJUoUfn+Bp1zOPDMuk3Yu8Ln+sjpJ1iHwEwKVoS8uVJifr2OjMe7YHTA1LhhvGEZqKdUwI8gnrBbgWT2Lrjwud3iNMitIU0U/0kipsdYjM5ZMgBXFAIPh2YqrtvxSSrAcXA5Gh5UKO3IAYHspuAcHppbYuwgspeuUN2T8wZcq/NZn6lhRSJMyezPU3qsC6kuBPmBuUdyg8hb16uw9yKRQkikD/V0w+aWtbMVJdcYYTCYx0uXFlTQkmYdUhh9/d5djFzx+67OaJB2C3CCIhESZ4X1g4FFxr0MJLkAOiz5aFEAtCj+F8zAv+efZs+EeIFZJs+LzuDZH6MWWXgy9xLWsmdL6KsZsyxLIi9pDUfvwFfheRi82RLGlHylW2jVCz2PLhMfIqEBvnEoZCVNGdcL4iHPjhX5GGLiTxLw86+A6MUyuLYfZimEqqPg7riiRpppOL2CpVSFOVM4Xq6XJoLQth1XBQRBZkiWr04NmFXMPj/F2X68Cd6mYI0spQSUTPD/h2Izksw/X6HQ8qChnVyyz98DzPdTe5QJP+TOs/Rr+4iLPkMFLoC9JlvLcEmMKv0cJ6LIAusRIRZZlSOlmGtZrKe++t8sDj1U4djHPDjjzMpkQ9MrvtAC3taDcDPGyXNHFnZMFkw9366G93WUPZAnocrB4hteh2OkzA62+YL4jWIkE/byDXpauW3Gdi3HYsnBH5rn44rCDQEPoGULfoE8LQi/CBBHroxj99BGPXscy6c/y2isM/Ui5VNJgFrRxW5mEWtXk18mSJZYotiCGU//TDI6cVVxc0Agh2bGhR+BLkqxKnIhSI/IwT17W80PmXq25L9XfpXnVyubH9q1OBcqSPJEyG7K5dN6TKDE8+HSNb7yQuwW/BXsXMYcSYhhgFgtzjf4emqp4dd39rUC+FuilpzG5zi0yKflRJE53m6FMMZJMKFRmMEKRRpo33BDzhtt7nP2yR2ScDs+dUKRoIuGqlHIwTDLfgpUYzkrLYakYMrkqgdpKNyBI5gvAGqdNCtPVYFcTw+vlCdApdFODqva5+YouUmTMLEpOnfFIM3d0jUWQWMlK350HRV76r1ccDq2w6BT8OCdALN3Y8sYbV7j7xogtGw365qt2rczP9R44erz23f/581GumTOGIkuAyRipZrzu9oiJ0Qwh4fApzXP7PeJUukqmUvRSxUMvVjh0xif0BW+9PeG2yzzqvs5TO8NyOzjnTpGNKYN7AGRxaWBZHKOhSiBfG1DKciqwKMXLDKlcp470Ux551udffXiEzGjw1VB7C+nOARLDsvxqBi+BXL46e/83FDGHyC62+Utkil0lVwxFJio3Y4lX0eTS5caFccOCfD/j536kxeFzmkeekRhf5CzuPkBiVH7I+zAeGqQKpSh4eaCLbb7N2DxlqHK5wiAwzf/zOcgpFYlcjcOl+kIJIzXB5Tv63HTVIm+/o0klSDl8VvLoi4oodRJESOhnkmf3Bxw/pRFSMDJmeN1tMaMVM3BbusNvBXHk0Y8U3X6Dpe7mB7YFe1b0/mc/Mutp8Usmnv7u5w5kPHMU4iRDUOglS5y4wOxPn4ipBykCuLiimJnxMTY/d0cqPCUJAsHUCNS04JXDlnhZcM0OmBgRhIEbfClzL8EAGKUCzrdm7nwu9ZojNVYFmHmWxAWXq01UUqaD1ODZBcl//bM6p84HUC0CS5caVBL8EqjLVctX95tcWuAp/7zIpFwC9LU6vEitUsoTU9bkpbz4ID8uMdKuLt9LiSwqnIlhx8aYH//uDidO+pxeLlZlHnQiiN2mX4oa7BDMqwxZju2RpTz5IG0IZVcieWODzVOHjsXdiA9fC0JfMT6quHanZefmceYWq4R+wsaxmB9+S4Kn3f0SKiOzKRfuTphfdmxSDWDbRvCkIk08kvz0bBD0I5+nX26w/+QYTz574Jeefv6lWd1H0Esk1XrMri1dZhYqVLQbtphl7s9asaIVC87N1Uiz/MMqqI05o5WWlkC6Q1dDZal4lppvGa0KxkckWWaJ0/ykBWWxagiIAYguKd7YVTJEldm7pL2HJ4C5WGGY7y5+luYFnQylEjI/4yOfG+HPvlnDhvnBWNKBfMDeeSCrL2Hvb50eXHUW5trH2nzwKtiU0oWlPygHmqvnF5aA/WpaPJcq0hiE0Mhexv2v6/HKCY9f/R1NHKSUj9+2eAOQswbkQ7AP891F0YfMrmLy8r8TQJYv8uIzOTnqur08z7lNF1Z8BA3+f+29d5xk113m/T3n3FS5c0/O0oxmJI1yjrbAEWMbGVhYFpa02Oxis8uyJrwvsAuLDbtrcnYm2DhbthzkoJxzniiNRpNnOle64Zz3j3NT1YxsOcqw79WnVN093V3VVc/93V94fs/TavhUgyj1P8r2YpP8fa0HmtGV9pSLE8mJGZdOz6fb8+iFjtUzlwbfC9l1KGau02ekrq0M9OO7XRACHXu0F2PWTkDVt8SpRMNSVzOzCNWuoOuKfKVPkib5Upd8Ka1qa+BCxRPUKpLAt+zCofe71A7MisxhcOviY5UCW5jC1k6V8vCTwF1E7ryLomKkSvjq/T7v+3yNXpKq4IvsZoljOedElIrf/FZMbOWpovVw4SmG/+pTZSlpizBLDWCwTYg5iUJrZGmyKUudFWkBbqTti2uhSbSD72p+6pVt7n7U48sP1zCiSFNIReb7J5WBpX3NtN9dPi2NEGn6cfJflJ3ROtVMMem2UPYfWFm2bl8w37aSJHaDJy4cNUrvc+YqAfYkDyOHxXbAzHzAYkcRazucqgY+qydC1kzZWY4x4Fx19iK+ZzhwRLH72SpjDVLRePt05xYSumFEJ0y5uJRcFmRq4Zfp/6nMGhsCT1DxJb6ncJyTmYWZV8swzbVIO4p0ZCDvVoORXMk0584MS0vFZHaTMkY5EZ2+4Pfe0+SZgz7GKUXvtHPiipKf0ACwhwDNKcCcQ0OUcfI1E/JymzCP7KV8XJ8yHz+Zm2KBnaYqQpHorH2rEdpBhgnrV8T85k8vcPev+iz10jdDF9WfNoq+HgR5RvI20noJZalLxgcfTmEGTuf012ttt3u0sgWoMVYzJ46hG9ptfZPSXvuezB3tylz+wr6wkALs9BS7n3eZXbRPQSmB4wSM1BRHFyJmlvqp6Ko7BVLQbIScvrbDSE3ipk5jlSChXl3g6Y96dGc86n4qhSYHt3pUqr/tqJL3uyvxfev/bn1xKDn0Fj3uvLdditxOOWqXQJ2nJuVIXu6U5IDOqLBx2vOOiBP484/XeXhHUPS8s1vKOXGFKa2jZaQkM3RiDrUIB7on2ZhavGC8PimSD3VOigUIcjBZMJuT2YbCRvCB9qEZjOY6USTCQWrDOZsj3vLGBf7on1uESfaki3RFS4fCHCFNTdJ2YDbk0SYFfA7tFPTD16WcNGUKldpUZjtODGFsUKFAYrtC1qbbAtxxVCrMVOIWpZRnV2lqlYjFcIGP3SUZ8wQVP3WvVoJaxbBixTinTdZIkgTnsitej+/XObj/MZ7bcSPLJhXVoE81CFGqw9MH+xyaW4GSNvUIcm6KKKzsVOFq5rmW/GK939N7l/wEyEjsA3uTpcidgXugmEy/LgciufVazEGfdkvkUPRWKkZVEr58j897P1ZnoevaHmCpsCw6J8XUMqMBF6t0GQfl1OP5rFAr4FtckMUwoIei9kl4HwB6Ie1WTk3s4oHd17SFpl1p08LYW2KjuTba8lViTSPQ/MwPtXnwSZ8v3aOgKtJuWXrTAi1VDvJ8B9+YgZF85vOTpS+OEcXlqHR65My/xI7xYwkyMahYE0qBTDm2VvdFEsUm9QG1OuAD2jbKTtS1nxB4MSvG21SrEY/sH8ETDg0Pqp6gVQm57vvO56Lzz2JhYQmnUXXxfJdWXTLSXGShF/P8TEStFvHJOyrc+fhy4p7Psoah5pvc7tpJAZ4zujJXs7SIyIxW/dQ92HXMwBPOaa5OxuMuzti8py2HI3UxvZR5JyUZSFUyUMt0YindmB3POvzlRxvsmXFT3/vUmDZ1Xj45enPqFIXByJ1dpAdlir/OlD67qg9xURjKuwuWYZqHw1CxWXRUykQsY3QRxbVEC1t0CmmQkWbDaMybr19i3xGH3QcFximdghLQ5CDPujietHKdmbyywdhzgjIxq2gj5n9qrsligR1n0+DYIITt1Jm0xRcngigBNxLpqhpDALfRPdYCgc/4SI0/+LlF7njyAJ+6s0at4rLYdjk+C92+VR6ItYMz0ggJqhEnjna486keX3qgxc4DHlIpHOkwFhiWjxjrz+MJfLckiq9K4vOqEMq3TmaFTZ81WLV2fY6TCfCUwJ6DOxmK4kVKkqUoogTwIjUppShZDi4iXD/myILg997d4FM3VzFuaaCTd05EKfcu6Z0M97xfoEVI6XMYjOgDdVsJ8AOxbgjs2deKBeS0wBvqi2c5uDCZFLLNWP34pQAAUDlJREFUwxMtUyZf9rGyeWtiiHFwpeb1V3dZ6Ev+27sUR+cF+OV8PAO5pK/tEnFGczYSnFOlLKX0qUz6z8rVAX44IETmHZTY35GKG8WJtchxomJtrXy191xJGFmB1zCWjDY8Xnlel9deFOKokF0HHD5yiyQ0ETOLhqWOxjk+7zLhBEf2PF+7aam9+fu2rliiKqHdNVR9TeDZgjHwZL41n0XrgTW1FOhOWqC6yi7FWPcyc5KTmZsLYKab0zLbni44JXnEViVAiyw/tymKPAncse15OzEhms/eVeMr91fTvFvlHZO8c5KlJrIoLvNRfDmCczK4ZQnY+fRyKHLnNeYLNRxKackAR7qcAw+lK0VxaXVJtBYkQiCETMFmhyBSSrRRduIpJdIoklihHM11F/R4zWUd/uHzkjAWdmyry5HcwQhFJO1wyRMCTWZUZReLnYyHYkopS/bcU0m44i8UDBKvdErMA52I1BlEpkJONlhmymW5g3VqGtbpS9o9h8W2RyWoUPUTlrqCnc8pzttY54xV3k1T496ReqBQ73rXn3P2+ZfOx1rN1yq9f7O4eIDFtqLuS8ZbklZd0awqaoFDNVAEvr35nu2QeK792BaWIo3YaeR2DJ6Xeb7rEtD1kEZ3guueSn2qWFoo1s+SPGrnmzk5WzAFt4pJpOaG2yv8j79p8uwRP11iSKO3shFcSIEvIUiF7F1ZKqDzgrgsLpR1kMSQ0lZqU54vx9odwwE9GCEKor4sbkKe/PmwJNzwlSTvy2eMTgobkZOL4oKVl11ZjIbRRsyWjRHPH1Xsfs6xk/nyCVq6BGkEicgtDdITU+S5eJk/U2YjnjI/Kwf59Gc1tsOSZLfEECWkzg/ZzTpAhJGgH0l6oaTbU3R6DnGiSHTCroNtRsZWMzXR+M+HD+6697zzr7UePQvtLoGf8NzhmL3Pu4zWPVo1RSUo5B/KYj3Da2r5Bk6Wv+aSxdn9IKAL4fly9E4YWFhQpVxbWJ63FBmbsYjcNoqXuicywfESnj+ueO8nauzc60NNFlFbqnyaNxy9h7sjp+qW5LdsTJ91TMQg73s4mpcXDE4V0LN8F6MHWYbDxSZD0Vzb96acj8uhFqIwttgU6RBIGE0cajZviPmpNyxx/xMu+46V8qo0TbF/oCWgaS0JhSAWEAmBa8DTxjq9lVmPIm1jOiaP5MUJkKZWOrsSGaugmwji1Mg3G+efSpi1rM6QYdBRkmogGG0INi0PmRiLMaaHUiGQmlBdd9lWKpUKy1qSSnKEWmB9JWWWf+mMezPoUlwe3pUppDLrjZd0LYZdFQb1uVPuSHnkXmrwWyBnXuwW+CIDvkyQwoI7I1XNLkr+5B8b3PpIAJUsHXFKU0urfOuIQc5J2fojS0leqC0oc9CWc3BD4Wb29Y9ycclAamJzWmWGQE7WTSmmmFKkKUMqpWbbh0UerrXGSjioNA9OB0BCIzqGq7f3+U8/vsTvvkcy18neVMsTsjcNJgHhYISlAmghiASEQuAbcDW5nWIiBYkxaARaGowaoh8YU+TtWetQYW3DVbaDSb5vWa5tRKnYyRweoPBtCrwml05upjayjX6/WwB89cplqGDFl+699+Z3jo7G/22y2WGi5WCMoBcqljou/UgOrBSRnY15Q9S+MIW0WiZdXGgC5rrcZYBnSlP5DmUy0CXJ8uyMjitSsNvPs+8pAN6Thr/+ZJ13f7TOUpJ6B8qsY1LclLCck0wldljr+1TTyzxSl0CdR+3SST80Lvn6IC/fD/TDs5xcDObi2hZ5WTdFlrx9hCiBPf2alHa4IoREGoM2CqE1SWyoezE/90NLHJ2R/Ok/NOjmfrHGDnrQWH1lbV87Iy3QRQZ0a0jrGvANeAbcLJrLLLKXcvfSmlqSuSpnildJlnINtkvzpyRsx8oYa1uy1DP0QvvajDRC1q/yOXzs8DvfdP0bv/T07kMFwJ3KSt7yK/+zI4R6drFd5Zrtc5x9+nFcp89Su8HBo5N0+y6Z+H3GMbC6FCK1N8m2ODJRHpMu+JZy63LOXVJ3LWvOZa2+wRQkncrlvuc6B7iQBchxDU/t8vnQl6osxmmlm4FaDkbvQcagKeW1Js+Bh4H8QqAug38A7EWC8nVALorqcgDoIgV6UcgVqUq5m2LfCyEH0xMpZB7FpRDp+N4CXaAQwhBHmrqf8KPXdbjpHp9Hdoq01lRpmpJGcSHTSJ4Oh4TCCAv2vpaEadfF1jTW0ydRqeV7WczIyVIr0CoD+qDZb3ZyD6yzpd0YlQacTh8OzIcs9vpI5bNiOuGq7ZJGY+bZz33iv3de/cbfKgAO8Pa3vALXq7DjqZt54qndvP1vm8R9l80rfc7Z5DHeivMlCJUyyvqhQzdURJHKPXyEGBy9l8XmXddGaDcl02S+OMopNm4GwJ1G7gLYBpEuXcjs6yKN6J7hsT0eb3lHi8d3exg3y7vTnJvsXuS5t5Knjtyn2pof6KKIIpqUMZz3yUsIfzFRfKCbkkWuoc8HVGgRVs44pczKNEJKLewysCh44yInYxmEMWhjueNGSKy2oMKEmrM2RfzF2+f4ud8b4fHdvg3DmeAJIiV3l1pFOZ8lBbtxiIQiNpIwA7qGQKWWiMbgZqmVsnuZWYqi0pZglltn4A5jQy+EfiTQpIQqxxB4MN5yeNmFPpvX9enGC3z2DsG++Yv4vnOvpdvrAkMAHx1rUK/VuPNeh498uUHgNFk5IWlWHJSKqVdDxke6VPwegoRYS3r9gNmFKktGIBKRX0ZUKXIrNRi1XTcpgTyTKy5UphyZ4HpxCu5kANwASZwBx0YWIUA6gkUt+atPVXnkKY8k217JwC1U3qLIcm+nFL1fCMByqCORD3Qy4Ob/JvLPTxpdfg2En6QZUwb7UGGZeeMM7msWvfFsqqhTYXptSAGf8lSEzcVFOvwRRiK03ZUVRqGSmHO2hPzCD3Z4+x85LMWQu8FmoDak0m/lS1jpdXYdjHIIhUMkFX0pCA1UJcTG0u7zaG4ERhkSYx/GUQali0I91oZ2D461Be3Ifq6MoOZJJhuaVlWzsOhz9MQkq6ZCfviqOUTLI6iPojwvf11zgLtOACrYs2JidO9rLx3dEEWGZl2xbCxi5VSb6bF5Qt3m+ZmYB3d7tDsOF5zWJlAVa1CVAqIQvUxKeXfm+Z6ZPcW5/7uTOgm7TkwQhISx5sBMltanPMv0XZcC1o5rpGcgsme/dKCdCN77iSof/XKFviwDWxbRG5VH70yGLWNhKAYHO0Vn6BSgpxTESunJMOmqkG/7OunJEMiL1tvgPwymKCLvSJT74lanWxSdFOy9SaO45WjbKC7SmzRZJJcEWnP9y3s8/ZzDez9Rox0LW+nGAmKQrmHthK2Fyl0gISQaycEZj37PqoIZ1yFULrFxCKWgYqCiBVrrNO2wtYKrirRLpy3abAkdIVg22eXcLYssdTWP7vY5Mlfl2VmfMIEwDjkxr3j6GUWltpJzzhvfG/jeHp1EJwM8qK/hjttvvEm6I/+4atXobzrJAVZOGqqVJaRa5IsPaW5+NGDv4Sp7n68iE8FrL465bFuVRlXge4UtSFZM5qB2M0vsFNxOlGtxB0GI50TMdwxfultx4IjPZ2+v2CkclpZp32SNKzWvvKrHupUxl5wRMdrSLHYl772hwv/8uwbH5hzbzM7QSQruUvTO2IL5gnO5Lz2QmhTmTdmJMLySVs7FT4rYLyo3KUA+wAUvfT3bUyyotKIUqUsWhKIY+og095bCfl2QmkgJiRQ657BkaYo2EqHt902PxfzGzy6BgffdUGWpIxgdMVx8RsTalTGvuqqLm1WB2TNNU6XP3haw/4jHHY9XmFvyQPlo3zoyR1oSKruCVjEGv5SbJ2kB6qUCU64Q+J5galRy2TmS11wq0CTsOTjPniNz3PpIjTsfb7J4xOfgrGGsFnPJ+ZNMjVf+8anH7rjpFd//6pMBDnBoxkGo4HNxzA80qv3tB+aW+PJXDccXA25/tEkU+oz4ki2ThvEGiKTK8TkXz4nx3IL1lfu9u4UltpsC29pjRwRuSFDtc2ROc8cjHp+/s8pn7q7S7rksLrqlWJhdk2OESfjyQwFjjYRXXNzj37ymx75Dkt//uzpHZiR4GQpL+WJeFIliK1uUp5ZDY/kSmAdycVlebiilKwM/840k3qcAOgXQi0Ky3GJj4PMsHcns9jJ36pxKm3rqyJSnIrPorU0O9Ox7spyd2LBsNOHXf7bNUlfw7CHFj726yysu6TNeS6jWQGiJ0SpNjQSktdFV25Zo9+Ezd3vceEeFux+pcXimApWI2PVpG5fISGIjSLTO28+esfMBKaxMhRB2WDjedEjiUe55os54q8/0WJdNK9pcc3aH2x7vcXzR5cv31tFRlYovHtm2UX1uYTEaeE1V+ZN//qcP8rIrp/dHSXThE890zv30HQG3Pdzg+cN1xise68YNq8cNUy3J5IjL9LhDqwG1iqbi261mz03wvCTdzsjuI3w3wvNCAr9PvdqlH4fceK/LH/5ji/d+ZoRbH26yGNYIqUAlgCAA3wPPs8mbq8CFKIKFRXjwMYc4hoMnFLc95Kc5R5aelLomuc6g5Zx4wqQ92yGXtvKtNMUsR3clhq3FoXCnGPTzzM20hGDABjHT2JODhe2pFGsHriglFuPAVWYghTJDdUO5n2+Kf5eGAU0bYfK5QraX2agbjs8pLt4e8lOv79LyNQ6CqOvR7/n0ej69XkCv79Pv+fT7Lq7jUA8k558ec+mZfc7a0CPWMc8dMURdm24mSCJji0ayQl0UASLbos8oIbG2bhb90GGp67HUDZAEbFkl2boaVk4oKoHCCO/GBx/d++dveMMvDADcOSmKqNNBCBqB4NLTZwg7VmO6UTHUK5JqRVGvKpo1xUgdmtWEapAQpKD205vnWsVW17GGTq4bEnh9+nHIJ25TfPzmEW59uM6huQpaBFB1EUqh0gmjTKNhYgyxdtE6hhhwNCQJ69cm/MC1PdatSth7QHHzg4GlfOa5xGDVL0mLy1OOwr/OckMWnUtpyXAePtRQOXkCmn6eZyLD3BNT9LoHIjrlorKYBpq0i5IPT9I2oU4Ltaw3PpjSiMFuS8o+tAVk+gekmd1X7vP4249XWL8y4bIzI9ZPRcSxQ5x4hJFPFLskWtnHw54kvdAO4VwVsWwk4g1XR1x+zjy3PNzm4zfX+dL9TRbCmNgNaBuXGNtdyaTbSGUhshmK20mQEnTi0OkpFjqKRtVldsGnUaviqIh7H5e0GqNccNYmewUaOk4C+Mtfdg2OUuH7/vkoB2cP0agoRmsOjao9U6oVSb0CjaqhUU1oVBNq1YiKHxN4Mb4X5VHbdazXpOv2qQZ95voRf/bhGn/18Raz3QqRqIDvIZWDJyW+srudjjT5OlRioJsIlmKXyCQQ9VkzHfM7b1ngjS/r4in4g19a5Gd+V/HYbsXAIDFvZTGQngxsyMvB4rKcew+M5csdstKU7eRp5gsc5X80fM2j3Oe23257ZwMtw2HwU8rFdeqykOXiJYUspEjZgRKJHkiHwF5BHtnl8qt/0uCBpzwe3iFwHcPvvnmBlaOCOHbphz79yCOKrdA+kNMplNREyiWMbYAbr4f80FV9vu+iGf7yE33+9J9GmeklJH5A1/hWHdfY9zk/WfMef0KsDWFk6PYV7a5ioSKpBpJWTTHahOWT82zdPMlFl1wTah1/fYCPjo4wMTb6q6uWn3bGoedmrz59VZ9W3cVxBL4H1cBQCxLq1YRaJaYaRFS8OF8YtTl3lEbvCN/t47h97nsaPvzVFu/+9AjtpApegFQuvpJUlSFQGl9mYjup2GLKXou0welLTkSKVVMR73jzPG+8toeTWBrohVv6vObyHnv2e3QSVUJcgU4bwc3A1PJU/W9xis9PjualArMEctv1efGj+pORXQJ/3i4sFZs5B9wKzmfDRm1AmALIRW5e8MRFCvpyXp7l7NnZJwR0QsFn7wh44GkfXEWI4J9vapIkkt//D0u0aopuP6DdDYgTu26GKLaxlCxMdd3YIYpcPNeh6ff5zz/coVXVfPgrfR7Y0SDSCX0TkBiH2AhiDaEW9BPr8NeLoBtqun1Dp5dQrSgqvt0zOOIIGlWPdStXsGbV2be0Rtf+KvrY1wf45PgYN9/81cXTV4/s9HreFUYvqKWuoeJ6BL6mXompVSIatZBGNSTwbBqS8cIyNSkbvfs4fo8v3+/w1j8e47mDdUKvgggCHKWoKag6mooCL11azl3MlC0AEXa7X0pNvRbyOz85yw9eEaP7PiEGJWKkE/P6q7p86DNVnp11SpVFEWkH7EYYjOInUWCHgV4qKE9ViJYgcvIGzzeB78FIXXRQtBHp0D5NTXSq4Jp3UtKTIOVvi5SrYheGi5QlT0dKjysAIQ1HFiSfvLUCxrFvgrBb9x+72UdIh1/7MYlOqiy0fZJEAqlmTTa5dhLcOMFxFImjUg1zSawdfNfhP7yhx6svneGtf5Tw5fs0kTHEBCwZh76UeAm4fdu69VOFhmYAzaqh3oupBZa1Wgki9h0xnFiaSlafNrrz6G03L1511bVfH+Bg38R2d/4t82H/wkefbp8zu+Dwxis1Kye7jDa6tBpdtOnRCSP6SUykNfUKVDyLLKViPDdEuX1uut/jl/5onL2HGxBUkcqj4kjqylB17B/hp8xDL2MhpjWlkzHMpGA8kVx7ccSrzvdpL/pppIhwVIgMYfl4wmmnRTx3n59zFzKQl6N3uVuS5dDlQuxU0XtQ2L8YRuSTzFLrMAuF4htAeVlaYQBx6ccnMQrzqC5yiz4LaJMSrYpedeG/aSN3xiMv8vNU+yFVi9252+XQ8XTHUNpWn5AuRkg+e3edsVrMy85tECfK5srSLq/krWGVuaMlJK6yVFbX2pBrrfC0Yv10lz992xxv/WPDF+41JEajXZ++dugbwUgQMlKNEAISoXi+7SIWHMarMFaDFWPwystCTnRDNL3Hltpzb6lVR0/52p4S4FddfS2/9b/+ITF6m3FFzGsuilk5ucDE6AKJ7vD4vpgH9zjc9liNKJY4JuZnXzvDG68K6fUdPDdCeX1uvNvjv/3FBHsPN8Gv4DgeVQeajqbiGAJlCexeeu+m3KhiG0jgO1Z6YrTpsKw1xr5DDs1ah4rfJ/DT/C8yrFze47KzQm6/z9DNyV9ioD0oKaUmZYpsqYtxcpoyKM12qm2eEtS/pcMMfVzOt3O24SnArlPiX8ZLkVlRmeXkeV/cFpVZ6pLl7tnZ1AfueszjwGHXCiJJH6ECqq5kxIXxis/ho1Ue3eUx2hRUA7uc7rkaz7Ug95wE19V4iXWGixOZR/FMu8VowdrpLv/rFxeQ0vC5u9LdHsdF9BOuu+QEP/vqHtoowhhuf9znwV1Vnjta4dCShxaSG+9qcdlZhtd9/wbjOMeTFae98cUDHOAXf+JaorD34Ttve+b0ONxTe2B3j6eeF8y2K9z7dI1uL8AVCl9JpNEcW4hJzLxlrpmIG293+fW/GWfH/iZUaniOQ8OBumMsuB2roeJl9yrdjHZKm/meJPAUtapivCUwKOaXfByZjujzHc0YJ5Ek8cB8jazilCKdZYqTI/XwUsELC/ucnH8LBu/zT75OEXkqUJfvi2ZAoSmS63HnK2IiBXW61naKKK5FGrXznLvERpTldKVIrFQ++XJAefhK0XI1o75hrKpRwIm5GG1cwkhS8a2WvO8ZPEcQuwIv0cSutmzBJHNozvZEi9z/tFVd3vnmRRwluPFeRagtGW68VmHjdANtHFwVc+6GHt1wnnt3LDDb9tj1XMD+wxUOzG/CHb0e1/WAn//GAD41vcJ89NOf+JM2G99y463P13q9Co/uUyx0HaYbsG7SMFKDesXQargsb0wwMysYbS1yfEHw3k832LG3AY0qvuPSdAwN14Lbd4xdRk6jtufYqJ0BO5OdCDxJJVDUq5Kqb4uYJJGEscKP08tfItGOLNatcmyINFUQFtyZwGc6li/77ZxyRW1oslmO5vbXn7ptIvL/fZNHmp4MOD/kk85i/1HkYC+KTFLqrC1CS63BksSENpLMVqzcRhx+3TK1AU9ZdqDn2OI/0bbw8zoJoHIQx4kh9iDO/DyTBJ0IEjfz9swERIsBlgDOWLfET79+iQd21Nk/16TRcDl0rMLn7/IYaQgatYRWPWS00eXl29ssdQ2rmgFzG2DrtnXztVrtzxwneMGQ4nyt13rr6WeztLTIoWd3sHLiCKt3dbj3kTrLR2CkLmnUHEYaihUTgmbVp90NGGkusmO/w55DVfCreK5LyzU0XU3FtVK3fh69C6GgAuAS3xX4nl2NqwZW98L3bG9UQN4Z0LrgUVBelyr19Ia7J8Nj+UKfhaF0RZyUkpyyuHwhkH9LGE8vAxnYs68P5ON21J1VpUJLBNoWnfm4Po3iIn29jMmXI2wUlynXfPgZ20mUFNaCMBP+N1jSUxhquo5GSGH54VrYcbvOJpSZc0PJ67Mk4p9dOQSGbi9m43SPTav77J+Dpi9pL2ke22WYnnAYbTi0Gi6jDY9uz+XOJzvc/ViF7RtbXH3tlvnu4sF/ml6x8QVfy68J8HWrV/Znj+/4hXPObH3kI194tja3WGPdlGRyxKHVUIzUJaMNw+RoSLPWJ/Aj+lHCzQ8EPH24iVPxaLnQdDVV1xC4JXC7KbjTm+umH6daKhbggsAD37N5nqPsFE4wSCkd7ApkMCzG85m/5fB4fmBaOQD+wa5J7hx2ivQkO5++E8cgsMtLD5ZoZnn5IjXqTa1IdLrFrkkXkVOAi2xRoqRlaHRuU5iP3Ydex6zrlIvXp9YjYZTk1uqI9ETR6RVCmwFQJ4lA66TQOc8eTxhUW7NuOuZl53e4a2efbuSx0DUcmokIY81i26W1JFlY8uj1JSvGBVeff4KFcEP7yKz6hWUrV/a/1mv4NQG+1D6mx6dW37dy/csXlDlQO225wHMd6hXBSMMw0oho1iJG6n1Gm21Gmks8+Izmo7eOYkSVpidopUKcmWiQ54BfKiKzyO2m0dtLl5l9LwW3bwi8YgPf+vdk9NmM7GOy3t8A98QS5MvLwqWxuzw5985H7i/UC8+Ho0Xf+Dt9ZK5lxqbiRYGJBZDNS0Sxl5DSY61sW5qaZOmJlmipC9e2dGSeGc5mKVC5IZ9NWbWxUTlOrOVIGKXCTKLcgixfXTId8wzonAzw9OSp+AlvvKLNF++c445dFY54LpDQ6ycsdjQLS5L5JYfjcwrfrbF8KuD6H3j5wujEmvvmF47rr/X6fU2AB9Vl+IFz3JHPXv8Tb9x88749d7knFqZZORkxMdKjUe1RrYRUvJBmo83MYocPfL7FruMjtKoOo56m7mkqngW3n6ciDADbigRZxywbwYXN0b1UU8VJt/KdktlUiVMhhcZkDqTZmnqqBzLgsTOUe5e32Qd4J3I4DxcngX34ql7q6n0jNeYL9s0HOiolcGtMagqf/kMK8lxFq1QjCCyDMFO+SoSwyw7SDPr+GInRMh0eGaTRJEZjMCSmGKcnGqIEqxQcpV5NQpdSNpk+90FAWxmLVP8ky8NNkYfPSc2KsYQff+UC+44FHFoYoxcrjncMjUVDq5Iw0TQsH3c4MNvmmmUXR4sdc/1pY63jUPuar+/XBHiz7vLQk89Qq6850JHdvQdmntm8dc0Ck+MdKpUFbnvEMNYIefWlXeY6Mb/7wRYf+OIyGlWfiUDT8jVVzwI78ErtP0fgKonrFgB3HVmA27M5t+8WbSjXGZSVUFKjhF2KcJ2EE8fhkR0eIZlqlcQRAi9Xix2UZMsF90tFppKiiOz5/ckswjKgy6Ae/to3cpy0BncKxGePkS1AFJOdtIVS+qkk5aNbPUBrPqCFyEGmUt1CIxOrRmsUvlGcfXrI2ETEscUE7WjL/tO2eIyTNIKncthS6SKe5E9T5j36jCNjXeHEwC17Hln+L4Thx6+bR4ij/N77Ncc6VS7d3mesbrjjoRpLkctSz3DleSO8/rpNe9dtWn6gt7SHSmPTNw9weyhq4a37zlo38nMbRlfdevjgl/jEnQEP7mpx8IjHhpWLXLZ9no98tcL7Pj9NUA2YCAytQFP37XpR4BZRO2OJOc4QuN1MW4UU2Jmeio3enlOsvlnv+UJawnETdj6vePiJgATLIiy0viksuKUZAHf2dZlK0J0qFz+lstWpwm2GvIy+mtUFQ6SqwShbgDq7s12Yk0+P7Cs6TVlEakKZd1hk6buy3nxiC08hROrGZlK7k/TeaNujNiq1d5ScuzVi8+qQY48moBMi7dDXgiDVKokSaz9SWCvaK+jgWS/z2iijxCbpiRanDnxJYvd5TbrqmK0h/sT3zbHz+Rn++Ssx/+6ahPXTFV5/8QIP7IYPfaXO2ZzP/U+Jn7vh1gf3veXHtnxd9H5dgJ+7dQ1hv43rVQ/teEredsM9O66848GElh9wySbJtReAMXXu31XBVVWmqjAWaOqBoeqTy725TirvVr5lEm+uzLspGajz6F3WUnGSfFG5LK4pRcxXHqwxE7rpeFkhhUiF7MmNpIZpsTL/WBT7mTJl2g6Du0TrPFVOkacRKYxN6WsnoXQI5CKNYJSvFMOPYUpFZ8oYNKSmTLp4zPz3Y7fLREq6EtogtY3kibapikokWqVtPe2QxA6jXsTLzuty+6MN0DGxtv4+YSLwEpNqCBqcONujzCbDOl8Ytq+HzAtTW2hCrOzPRkrgxZIolmmfvFi7qwYx2zd2+dCXmvzzF+tce47PismIKzbPM16vcNZ5p9127RWXHWp3+jiV4FsHOIDn17jnvnt3B5XxP9m+5YIr6dxDveowPQ6nr4GHdvjc+ugo403BeEXTrBhqgaDq280ML5N7K8u8KYGjZB7VMw3DLDXJo7eXpShJoR3tFD7znhOz1DXc8khAu+dC4CCEwpWZkZRJVXALkGebPLkqVQncShVa5nnve+j1GMBsCXhFBD9pSf4Fj+EWZA56wSmL2DLVFkp+leV+eelJ5uKX2jptZGBXaRTPLcGlnSvUKoorz+5TrYR04gjt+PR1ujGfCMLEoOLCIGCQaZn3LNMnIdNtekiUIFYgYxtQ3Aj6jiCMrSZhkk5VHZVw2Zkh2zZH7HxeUvcSJkddlKpy0UUXsGZZ/U+efPye3dvOuuTFQPfFARxg3Zp1KGfsvunmzCeJDr3+2OGjnHt6m050nL/5XB0T1Vk+ohmtGuoV6+5gBfAlrrKac4isEBKpKlEBbi8T6HQo0pI0gntOkloaxul+Z7ohpCL8WsRNd3nsO+CnkmxuanRkCt2TLFqrUpqiUgUumWnfFWAfbhUOAGygPWk/1phcgEeUdfpKQDwluMtDxLwHX5ZpMwPFa7abOfB8ROH5pMzJtQBCIhKd/j02PbHObBqlsyljageeOESJw7oVIdee2eGzdwbghPSlpJtIfCkGwC3jjMCWCULpk9I4Y2Qq0mPBnXF5pATPtUbBUWxH+toqfbJsIuHnXzXPH37I4aG9DS44LWLTaWsQ1c2f3Lh+y33HTsy/WNi+eIBPT09hoif3MbbtrX7laTU6dvAHjiyd4D2fq7Fzb5ONE4aRKtQCSa0iqVUU1cDqFrrpo9g8LFUjUCLlnVhp5WFg2+IyBbab4LpxugJXLCz7fsSu5+BvPlVn37GK5TIIB08KfGllCnK/nUyMqCTomKUmTir4mH0tlwgrIcWmHCdzsrNv0brUrqMYpadQh3KizWC0PtWyc5nlaE+iQepsXnSK4rmajFKrSjMvbOtQJiadC6Rud0KSSINMFInUJKlDWxS5rJ6M+LnXL7HjYMDuIy5aunSFBXgWEFRc6MnYqW5m7KuLE6yck6fPN06sTgvYmizwJP1QpiAXRJGkHzlsW73AW9+4yN9+NiFWY0yOjd5w5jnnv/WBnQefu2Dr+m8/wAGEu5Wbb7/zuZXrznv8U5+f+YFbb+gS9QLOXi1pVOxkynMF9apDvarsBlBgUw1toNOTLHZSoRdhgWZtTygVlFmKkoI8jd5eGrk9x4Lbc6xk7oduqvD5u+poaUU1ZQpuL5WPy0DtKHsvMzruMLiVNdTKAS4LEbYM3LaHW0iQmawzaez3C211vPOTIx+xD0byMlFrcKBU0AjspT8baomCTKVTMZ002lH6WW2EdUIr8SmFAJFALCQi7WMLmRWaNi+3ZChNkli/e0e5vOrSHvfvWuR33x9A7BJKRSeR6U639Q0t1uZKYveiWIeTeRFq0kLX0O4kdPsxxliAVwJFP1IpKctqex+f8zg+57N+aon/8kOLCH+cbWed83gye+9zF2y98huB7DcGcAC/NoXwVr/z9dc+veHE8fkfiTpdtqx1mF3SHD6uqQaKZt1hpA6tekKzllCvRhgS7n/Ko9f3UkJPBjCT6hZa1dly5M73O0tLy44T4Tp2YfneXYJP3Vojjnyoegjl4KfpiSMpFZnF7VTgzu9zGeiiPZhFykxdiVR6LNFFupJfpmWJAFWO9gOJRtFmHB4i5SBXhXos6clFYmGbicUnWqS+OakaV3piamXs+DwFeX4CJWmxKQwygURaKxEpFIk0aRR3iKUmijx833Lsb7qzzT07HIxSdISPIwRKFApTBWfelK4mKQkuSfUJsc/PcwXQ5en9IIygFgga1YQwctDaeqm6KubQiYi5PQ6nrWkwMTnGfOeMD796w9Z3Eh/6RuE6uHT8Yo53//Wf8H9+89z+xm3jN+59+sTVG1Z01jQa83z+/gihXZZPuIyPSCZGEqZGQ5ZPtlk2Mcutj7f5zB2Khi/x8p43gz1vT+N7Cb5ndzx9L93xTFfh7H2fIOjR7ke8/8Yan76zRawq4GRLFIZKxjHPdpWzRQoFjgNuyXLFVdbe0C21LpWSKCUHnCtEuv+YpJO8RBcgz/PiAWptKtcgLSBEnv6IvFOTneBliWarKWOFSzODroySa4lmgigS9jkkRTQfpL5ml4hB/kx2MuZ2LMPp0MC9YaIRcWJR89BOl14oMVJZdVoK+vFgN0jkoBciq2kErqOoBILxluGKc45ypN3mzqcDwigVLzQaKQWeo1g5HbJx9WFufUJzbMalVp26/TgXv+nO+3ctXXnRhd8wwL/hCA7QXPFD7N/3YOeNb3hF+Nfv/yA3PyQg9JmachhpSCZGYpaN91g5uUSrPstHboe/uGGKVXWPMNIYU3BBnEwgP01JfDcDeQZuu9dpb318r0+sQ/7yY1X+6EMj9JIAPB+pFBVppcLctHh0pMk/LqJ4Eb0dlTnKFb15JW13JxP4z97AOLZj567WhLEFefbGypI5asZZ0enfZ68AQ/3CUitQUJ6mloSTnGJf1BiI0rZaHAu6faudneXgebqXW5vYrR+R0mZFUjwv2yK0VwEhpLVglxKRqJItjEM/9Kj4Cb/8ox06keLPPqJYiiSRkCzhDKRv9u82kKcqmT6lxnVE+n4LfFdjdIM3v/YQ/egoH7tlgqWey6rEADGeKzk64zI91uInX7nA/pkaW7e/IhRCdC6/8LpvBqrfHMABZGUTaH3vptOuuXR+9quV+QVYNeWwYiJh1VSX5RPz9OM5Pny74I8/tpyG8hmvGzxH5mmBm/e7TR65fS9dXi6B296H+G4fv9Lj1ickf/2pJp1+BSo+SDdPTfy8sCyGEVnXxMkKyXRLaLgnn4E8a19mRltSZh1Aw6ETsNC26YfMujRKpMJZBpGkGzai6AGXl4RzjA9EusKMy02jd0ZLcJTOmXxgOHTcZW7J/sLsqqCUwE1H4G5Kqy0SI5GnKFJCnGSFpn3cJJHEaa4cC2WXhoWDEJq+8KnWEn7h9W3uedDn5scVRgr6VFgYgk72/ArzKfs3RcoQu9ZFrR8JZhYCmrVx3vaGEzjiCDc/PMreEzVbGxDiOR5Vv0E/qXLpJVd0z75gzb3iW9hz/YZTlOz4P3/4+/yfd/7WV09bv7L66NPPXbi8Neucuzli7bI2q6dn2HNkkd/+QJ1P3TbNuO+xasQw1pA06w61mqJWgVrFUAk0VT+mEiR2Mz/dzg/8KE1LInyvj+/2Cao9HntG8HvvHuXBvQ3wKuD4uGlqUk1tUrwsLclX3xhMSdL25EBq4ko7cHJVwUn3rERLrWIYaxlGGj0efKbPc8cd625mSvswotBJESItVtN26LDNS3EFGfQYtXSEYnrruwmVwO7Ajo206UZt7nxUMbeItSXRRRFb7qRnrdgBikG5ty+LIdbwFhNDP2O0oFWNmZ6KeGqv5Ogxad3ehCROuYbDrVRZej1kKaAoJVEpJ913XV5+XpezTpvn0ecEOw4G9ELBXNsQxZrzt6/ubdn+xj8K49pvViuNb5T58K0DHOB3/vvvmXPOveK28RFP+ZXupXNLB9Tpa49yaK7Db31wlMd2jbOqqVg1ZhhrSkYaDo2aQ6MqqVcNtYqmFiTUKglV327oB15MxQ/x/RDfC/G9Hr7bp1Lr8tizgl//8xG+eHcL49m8WzkuNQU1BX62GaSy9TeTisikHi9ZW7KUXxeUAYXnWH6M51omY8UzVANDo6oZb4Zs3TDH4YU57nwqIEwcnKF1tgzQg0SubK9UlgrZNIVKa4Is53Zd7LpXmqYF6Wsy0uhQr89x4wOaz91dx0sFSYthksmROaC4VWohihLgiudbDGoGjHoZBLoUgi0bQtav6PP4LsmR4xIjUxEfJEm612k7PhYbA68L2UllTwhtJHHiIKXH5pUxW1Yv8MDuhONtzZa1IauXTYVrVm18Z9Q59j82nXZG/M1g89sCcIBXvukNidsYu+fYbBR220evifVR8SefGuexnZOcMS1YNW4YbzmMNByadYdWTdKoWdDUKzG1akwtiKgFFtiVoE/ghwRej8DrUfF7VBpdHtoj+fU/HeHLDzTRQQCqglQuNSWoOYYgLSy91ILOLUVHJy8qOQWwZR69XUdaMa2U2lvxNbVA06jarZKp0S5b185y22OKfTM1PGUXAvJIJYsOzLBHj0rzepsala8qWReJgU6S7ydU/IhaJaRZ77D3UJf//vdjzC/VqbslDfM86opS5BYD4C4raQ2nRoMcG1EUmhRABUDD6WtCNq4NeWqX4NABCUqjDURIIlS+2JwRc8qB3VILLGU3TiRRrOiHDv3I4/SVmo0r5nj+WJfNq0f1Feev/e11a8b/sNub7f/dez75LeHzWwb4pz/yEX7jbW+KT18zNTM91viFW+47Km9/pMrKps/G5ZKpMY/RpkOzpmhUJY2qoVlLaFRjGrWYWiWkXo2oVvpUKz0qQY96tUu91sVRPeY7MR/6asDvf2CE2x9pkLgBOBWE8qgoYXc8lV2D85RJN/OHblKcDO4BPowq1uUc29UJPEPgG6qBplax8tEVv8fa6UU+e49k58G63SAvF7ClzkEBbFKrRXt5Vs5gkVssWhcudL6X4LtxGsH7NKptnnwu5q9vmKBW8ag4dnhVXowuBkRAmmNnXZKy3JsSQ+mKAJF6XZ5EJBvgxdirw8aVIWdu7CNkzHPHDL2OxoTWv7KP1R0kW68rEWiyj7WBMBb0QkE3VPRCB0c5LJ/ocGy2xqo11+nxydPfduiEOPh9113/rcLzmy8yy8fk1BqkN71r2WTwlvNnkr986OmH5YoRxZplDqNNS5FNEnAdTb2qadYi6lUbnap+SDUICYIetUoX5fU4fDThiWcVn7unxt1P+Rw67HF8KUC7vpUxUC4VJWik4C5rquSttqzPPUyoGhjdF5HVySerGf/cpF2dYtDkKG33C+MEk0S0E5d6YmmkiS6Jupc1sPMcuSDVDrMTc4eJ3MU5NQxQSS5WqhzrNhxpCBNBGBvChJT0lLlCZ/m+7YxknyfSassoaZVcpcZ2UrTVCxdJ2tNOilZhtkRSTCUNItW1vHRbyOnrFvjF69vc85TH5++u8MgzVQ4drbHoVOn7KUErHSwlOpNnS9Da0O0nnNC2PTvScOiHVZZPTXPWWRfrauuMt1x50apdO5498e2A5rcH4KvXnoNJHgmRV7y7H+6vXnv+inf54hirpg2teoduaNh/aJSqb8Hdqoc0aj1qQUg16FGt9HC9Drc8aLjh7gpPPVvlyV0+S4mgH6UocFKdDunhKUlN2bTEU0VhmZOqUqDnb7gq0V9L0VXKsktz2iN3yFOcbACVbRNJYd0lqkGCICbUEGlBnO8gktNDh7W8T3UMDHlSCq8q2ZorZc0ChEjo9u24OzLktNUoNsRKECtDHBdtRiVNOrwR1kZEl28ClWpz21sqrCQEYkD3TqVlazqpjIsJJcBoNWZig2HLmpA3vTzksd1tnn52lk/d1eCWB8Y4HlXpxIpebAgTQ6ztwEdKQ00Jnp1JiPqa0WrC8dmYs8VaNp3W/C/m4vPf/eUH9ySvu3rb9w7AAYTaTmfxUPJj179mzwMP3b341Vu+1EjMcT52R8zMiQbnbILpsYSJkR4TI0vUq1bbRMg+B4/H3PKoy+/9wzjHjjcxrkciBVpobNhIsIqxLo6UA8Mc3ynSErfkZ3nSGtoAPTbjnsh88GKnmSbPiR3H5PzzjIMu0lbem9/Y5fbHYmYiQ5StY+mSlV5pypmTpOyrlP+/XNDJchTPRtwl2/L5NvzVJ6qY9EoRp33sODFEGtyUxqq0pbHGadtRK0tTTaSwfjiZq5kWqGyVLF1rS7QkpY3lgkFl4oxIed/WpdjJF77jxAUtOWe94aLNfb7/whne8Y89bn6kxYGjDZ7vecy6itFAEiUazzGsmFT85AV9jizO89V7q6xdVWfb9osXt2y5bE9/7liy4epN3wDyvksAB6hUKzz6VOeGVWsv/cVXvpw/+ut/vGHskadCzt9UZXJEMz3epV6d4/DcEl4nRDkxtz4k+djNLR7aOUbi1Wk0FXXXwuFET9JONOgEIwVCSnxlnQGDTFsl65LIU0geSzGQb+ayx8Ntu1JXw36cWoxnK3KqkBaWwjDWsMDTxhAbmRotWX0SnZLAC0KWOcXWeg79AR64LKcsJZCbRDO7aH9GY+1A8oicgtsaqEKsNCp1LytfVfItd22JYfnJaOzYn4R0xF/WXyFfRlBCo6RCKwVObHvcsaTTq7LYqSAw+F5Is9rlf//HJR7Z3eHjt8xxy4NVtPSQboXZhSpqTjFSTzh+oso5mzpMtSSjy147c83lF79NsnDD88fq305IfnsBLtQIAIuLsx8c33a5c/GFvHPFyO2Tm1bMsHIqYrR1gg/dYnj/FybxHJdqpcO+Az3mlhoEjQbLq4LxIKERWCLOeE8zPjnHswdidh9uIgA/NSKyN/KuiZN1CWSqAFwaU5f702IgqpfycmUKYKsC2IUhrQVctkWTJdeaUvRmSFuwwHHJlqRIbIuORTYFHCQo5SlBlhenoIy1BXmcsjMLsFvA60SniwymWPjVJU/5XL215NSW/k6hhY342uQUgAzgjmO95R0Z8+zRmF37A6aaNRaWmriupl4J6YceIw3JZWfMsXXtHD9yraDqCjy/zXu+UOEjXxkjfs5jdikhFuv44ddffGxi5SX/rdOLPthoLP+2gvvbDvDsaDRGabeX3nv9a6+St912+Pf1wpcnG/UeH7td8KGbJhjzAtZOCq69KOREp89ffXYEkUimqgljdRitW6m2ldMxr7q8zxfu7/DOfwxYMhbggTIETrGl76gi+uUMv6yYy04+yjlvIUQ/fMv4H9ktB1zm+FbSoLK7kSUxTFPmgJ9iCaEcDIZ4Inm7j5JqwEmra6ZwB9YZs9DkkTxRWUTOPHDSZeNS+nSSqKfJdjyLzXghbHHoqFTEE4MjHdw4RgpBP9a8+wtNPn/nMl57foUVE1XGW5qxhkOiBa6b0D7S5+8+1+TY7HJecU6FNdN9fuLaWaJ4jk/fNkYjNEyu2HBsbPnLfi2K9XtHWqPfCSh+ZwAOUKvVedd7PvFuYeqJ19/wvz//wO6xux5rsmnSZcWYYN1yl0u2+GjX8Mm7BNGCZrQO403JxIjLsgmHLesMI9U6b7x6gRvuC3lgt+WaBI6xfWovlZ5Im53aWI5GNmEc2KoZGHyIgbRleJXNLj8MpglyiAaaPUBZZGHA/m9os+YFjzIvZcBTPkts7C/SKSHcGPKUqEhBTJF+JKaUb5tCd1sPn2yl1mD6HJNsX1Lbfrij7DoZ2BPfc23u/dhel098ZZR+v86Tew1xZBmBSeKBsGtni70un72rhojrjHuK43MBKyYqvOHiecYq8zQaZ8xcdb761dnDH3/fmtN+7DsFw+8cwAF++affwO5n9v5Dt7ft7bv/6bNjV57xDL3IUPE81q0wjLWW+PtbApYWPZbXDaN1wWjTYXzEYWLEUA0ijEhY6Eh6kYOvBBVH5+CuBnYlzlU2GoVRyvKLSaOfTUFKWCrZBYp8syjfsFcFqPNuhszMb7MOgqbbz6zNS1Exg00JQJmR69c68qkh5atNOhaksB2peBrQaNIIXipo849T8FvQ61TBqnBELl9JbOpm/zYnTb36iaAXSvqRnUy6js3vMSIHeBQ7eI6gXtN0Q0OvrzkxH+M4EqUUjvKoBQHjIwHff2Gff74pZN8hl2bdpRsKFnfWuOqStYuL4fL/9MATyYfedP2//U5C8BswVv8mjzXr1sfr12/8masvWPkT11w22U90h4kROG31PLc/1eNTtzWpK8lEQzDSUIw2HcaaMNqIaFStJt0Tz0gOHKrRcAxVzy4z1wJBPRA0q4qRhsN4y6PiKzp96PQF/SjtwZY2YLJ3tgzsbCI42CPXRaE3RCHVGj7wuYC5tswj30DOPfTx1wT3QHQ3Q92VQsGrWYOfeHU/U8BPXcnEQNcmLx61KfXh7cemROvNnRzSSaar7GCpGkRUg5h2V3JsVjKzIJlfUix2HJa6ik7PpRe6hJHHmmWSM9d3WWwb5nuC+SXN3GLM7IJhZsHh+HxAr9/gDZcnXHL2LDsOJZyYS0j0Ej21rDfT3fizF2xb/uF1y2v6RbxM39sA94QwYXfujle84rU3b97+44ubT9vS37xuloefneNdH2vQXqqxegzGmoqRhstoQzDajBlphIy1unTDDjc9VKWX+LR8UoALaoGkXnNo1R3GWy5rljlccW5E4oUcbQu6oSBKihW5HFQ5Z3mQDJRbmWQ6hQPFXtpFSTW3nznoECan/ntfNCuozJ4VJ2cyxTlpB2XrlydkGt528SGL3CIHc55r5/n3UO6d/mKByVuerqup+BFjrTYJM9z+WMj+IzHH5w2zS4LFtmSpaz1yOj2XpY6PIwJedm4Ht9Lh6KJgvpMBPGZmAY7PuRw4VqMZtHjr9Yts23yCh5/pMTJ2Wm/7Gcv/7Wcf8j72wS8eSy68/FufVH694zuaomRHUJvAdznUHNt41rlnjVz51N7V7/ubG1W111ZsWyEZbwpaDYexll2UGGtGjDZ6jDUWuWuH4d4nR6gpSbOiqQU2eteqkkbVoVWXjDRgeixk87pFguYsb/3TtXhS4CmrhZgtA5SNpES5uMwtOIoiM/frkektj6qpfNwptSO+M6+ftbYu9t8K0BadkQLcp4joA6xDe2RcFNexAG/WFvm7D0ge25WwbWXCZMshjl2MsSqzjlS4joPvedSrFS7a0uOSzfPc+XiFE22Zcn9iS911HLTxCaMxNq2O+Knrejy4f3lnSSz/qZ990ys/vmbqFnPZNT/13YDedwfgVU8AJHfd+TeHN1UPfWT5+dNOe9H85UOPz7S2rTMcOm638JePJayY7NGq95gaW2LngR7v+IdRjszUWDdqqPmGmi+oViS1it37bNUNY82YiZE+zVqPZtAnjhN6iUsy1NWAMncjTVNEKmAjhwvLktUepKNrM5gsfyvHi8zNT/7ezCOzFMVLoM7G4lmqYvKUZTAPz9qnmaeO54Ys9Cqc6EpOLFjrdZF2mmxurSx/3/OYW6yycqrP2398gbf9ZZX9B0cQQD82GBPTqEhc17Bjn2G+PUboTs3P9De8+d5bjn0E54v88r//8e8G7Oz7/V17JODSy36ebjDFp25b90+Tk9t/6d+/6cIT08sl7V7I1KhmemIB6cziem0c1eOWRx2ePthivCYZqWjqgaAaSGqBQ72iaNQscWukEdGs9/CcHjc/7BKX3szhJYPCwzJTtDID2zRFW3CwuMxbegX8vn2HeVFfotzWy/J+XQa7Lk0rTdFhMbpkfUKJ51eqL5QQXHtuh1DHzHYFC23NYjthqZ3Q7miWuoJ21+bkC22f2YU6G5c5XHvOPH2dsKQNPRFxaD7i2FyC6/RIfAdTv/zExWef+0u/+qaxf7rgoqnvKrjhuxTBy8em7W+2b5U58gFwnA9/avId61fdMTk9cZibHuqy90DA6y7XXLy1zUO7ajhxwLJxTaMCtYqN3tWKola1C6uNWkyjZidoke7ymXvHMELhyqGirUxuKhWY+V6kYqj3rQe4F4M4O1VjmwFy0os5BQbaiqdQpsofWgz9A8PgFrmSazbwydKTTDhTn6oXXnJl08bhNRfN866PdpjpNml4dsXMdeJUQ9LBcyWu46SLGlWatT4XbGrz0VqfczcqfvDyNnsOa+56uMXGteO8+ccuPyZHrnw7JvrA2JrvTJ/76x3fdYDn75OYZmmx+57XvvwacfB08fsfvuGGyZvvM5y1rsl0q8vOAw77jzdYOw7jdagHkqovqQaOLTAr1qezWYtoVHtMjC3xxfsNC+0aVUfiqQRHmQFOSp6aiJSAlbENFSXOSdEiLCJ3eSELojSnHWqCnMShflEgH/78FB0YKUh7/WLg57Ionk8xpZ0DxNK295zEFNNNPdgLz4Tp40QQxYpe6NKqOFyxdZbP31On6UvLpHRMqk1jt518V6KUC8YWv8tHDaet6jNzYpT2fIUrzziBVC6rNl177LTNl/+aMeY9nv/tHb9/I8dLBnCAeqOCMTPvXrvpvPjss+S7nOTO0bo/j+t1+OStFZJOhTNW2/3IODZ4rlXLqlUM9UrKKa/2GW20ee5Yl7/+3ChLnRrTDTvpdNTQpsrQcMeRGanK3pySPHNWWFowiVzbRCC47oKIe57ULKV/R8GZLk0oS6PKU0qwFQPRk6XezGBEb/fgS/d7ZH465cfLInmsQWlQiSGW9vVKnGz7P4vkJY6Mwdr7xZIwdOj0fCZGKvzsq9o8+ewcRxbHqboy16jx3ITAk/RCgecJ2l2XEwuKLWs1r7l4kY9+pceDuxokzmauf/VFs/7Yhf91/wn9/g3Lqy8lxF5agAMIMYYx0Qdf9fKLZqZrRzcutHt/8N5Pfcnd8WyT7etdLjlTM9/pcv+THkq5VANBvWpoVGPqVZt7j7UWeMdHKtzx5BiTVUnLTwhcu5OpSvLH2T5ivhfpZLRYnTqEpSKfqsQDSS/lOrVKEULyfReE/PE/G5Z6g4sCJ6nFnrQZU2qck/Wly2pZ4iRLESGg3Ycv3ecDtqORmWplfXKtIRYi53NLCU5iiBKBmwy3DAtfH63ttn4vdFCdAEdpLtgc8fOvO8F//Zsaxz3f2s64Ol3AkLTqCs+JeWRPyPyCTz9sccHGPhX3OG7toiiMG786Pn3pnlq18tla7SWH10sPcAAhXD179OkbLr7qtd4tdz7WWbOOv5DJTnHhGZGcnFjgzjs0/cinVpGM1GGkHlNPo3eztsTn7jN87v5xmo7PdM2Kf3qOBffg45CnJ0663JDtQHpeki43xLbYFLa9mBhZcgpTGK3ARMX1vvS7xQvdD6UsRc49VPyVuSt5tyP9RAgQygrolASNhLBgjZKM0SiQqdCOExlix1ieSpKRpwblh+JE0um5xLFEG4HnJHz/eXN89eLj3ProMpqexHdSD3onoVlT+F7ClvXzfPLWKvc8UWesNa1f/bJLTeJu/I97j134vv0H94fnbz/jpYYV8D0CcIDRqS187uYnwyBY+cG1q/TNV23lTTrZ87vv/UyXZ/a3OGeDw9SoYOVUj5FGH6UMrXqfY/M9/vZToyzONlg3bphsGuoV2xzq9U26UZLKn1FKT1Let5dKVlT8mKpv7ciFMMSJJE5UrsftpI5u1jGMoUIzk0s4ee8xXQMm21PMIVvKhc3ADRgoONNOR+pa4Qhh/UXTtEqKNI9OPXtiB8hG8Arc2KR6gEU/XAjypQptBEtLDgKHfqQAw6rpmLe8bomn9rc5sdii4WvCxBAmMb4vOT7rsX2zg+ce5f7dyzjSXff/rlix/iNOc/n+9av2hCLY/lLDKT++ZwAO8KprtgJ09z7x0Z3rt170jnf9LV6jNfobZ3BYrZyENctClk8e5eZHBKvGRli7LOLG+zwe3tdiuglTTcPkiGK85aAcw6N7+yy2bbS2vGZbYDqZ4JCTSjP4MbUgpF7tUfH7aC2YW6rT6ztk/jhKaks2Mg7GhDnAc3vwMplLFleLsg5hunmb37KORu5jo4uuxoAplF1LRwjH8uGVdawLXJvMzCWCEz1Llqp7VtFVCptqea4prY3ZE0wKu70/2ugz3zbsPVhHSYfJEbvs4HsJW1f3ee3FC/zTF+qsmU5YsWyBmx+uo6SgGri0GpNcsn1jsn37+O9d8CM/+I4+tyS/8uZrX2oInXR8TwE8OzZsu57f+qMPJ7/ztp/5rQOHZpzn937pv+zb87i/bOwgn7nXsGP3FKe9XLPvqObmRxr4wmdZ0+quTI25rF0hmRpb5LEDHQ4eqDNSLboeWe7tOVZwKPATKkFEs95lvLXAfTtibnqoyVQjYONUhcBPaFQFjtJEsSKOVbrNUtAocr/NbPFYlOm42TpYcVh6anlAU1BaM83B3KQ1Z4gplJRUFFRSTk6jAr4rOW9rn7GJGb7ysMP9T42TGAdH2lU+PzJ2tS224prGZNLFmunxJU60O9y/QzLZqJJoB6U8fLdKvdLiqjMXuf3hDu1+k/M3OSh3llsf8lgd19CNc/sbzrz6f1dqY7917DmfyTU/81LD5pTH9yTAAX7nbT/C/PwSzebR31g+fZVcs2bDpbMHPiAPHR+5dM1E5NRrXe7ZoXj+UIupuqBRNbQaDhOjitVTIZNjCzhuTDdupMKZFmxOJs+QpSaejd6N2hL37erz9vct4/DhFlef4eFql+lxaZl0XkIldogSRasBq1cnHN87bHkyqDmegTyXcSAFd2msnmTbN4kkSXQKdpsPZ7nys/sd5hZdpBL4yjrWVT1oViWToy4XnS654lyX686Z5Tfem/Dw7ikqjsJ3EnwPwjRNyfJwjE1RAjeml8TsO2GI+lFqWqBoVD1OzNdZOwEXbunxxM6AnftcLt46HT/xXHDX9W94vV63Ye1dTz7f/41Ou021VvuW3uvv5PE9C3CAVivvn/7a+/7h0xhe2bjigu7fjPjP/PDBuSflZ25tcM5alzDpIxKXVs1hajRh5eQSkVlioVvHV1afT5UE9/2SRUrgxYw2uzx/rMdvv2+cZ/ePctYKqHmG+bawLsuBIooUSaIII4d1qwyvuazPE3tsNyMzsnIG+uqpam0qFyHSpLzcu461QMWGKJW1sHuWMk1XZF433Hinx/7nXdyWwJX2BPU9O9Vt1BSdvsOzB0fZvDbmd35yjl/8s4BDR8ZoeIJqZAgjTRgJolgTpTLFxgjC2KFZSUhEnwMzLqONiFZD0g9hz0FD2B/lVRfMEYYxBJv06tXrPvrnv1b9+W7v4OK6Fee91PB4Ucf3NMDLx0/9+Os4fPC5RaHq/0nEK3bfcW9y5lXnOa9f3nySx/fFLC0EjI0IpsdC2v1F3v1FnyefbbG8ZnJwe660pliZiq1r0xMpenz6Tpcd+1pM1wQ130owaA1RkskVZ37rIt25zBYBMnCn6rC5oFCqd5hqHCph9dNJaQRJyka0CrT25IhiSZxo4pK3u/XJtCeHIwSutCdrJkGnpE1v2j2XmYUaW1Yt8YbL5/jTTzRYDB3qcUI/gl5o6IWaMLLtwyQRLHY8tq1x+YXXneB9N7ocmfUZayR0ejDT7vLAk4Yfe812Lj3f+eTa9Vc8vv70dX+82O4sbj1j7UsNhxd9/IsBOMCyFWsAjj+//8D/c8ml/2Ht9q07eP755usf2fs065f3WDOdMNbscMN9mpvuHcMTkkjbToPnSiqBoF7V1CpWntlxEgIvJtIhj++tE8Yejard9cxajCbzetTFaDsXt5Qi9QDK1LQKO3Ivnfy5uUqtyFfqslRB5x3AFOSOJIrs8EUnWZpSNNXzHVOKotYYG/n7oWSx47FsPODs9R2kE9KNXKIY+qGho6yZQLeiCEPrnaNUTJwEvOK8mOeOznPTHePsPRwilOHcrVNcccU26lNnfvIVF2592+z80r6p6cmXGgLf8PEvCuDZsWr1Skx8fB/TW/6rkeKD/+5Ht75Vho9ctXvXXp49cpw7H21w3VkB0uty1xMaRIXAVzSqMDESsmKiQ6/vorUVyVnoGBYjn5onqTgaz7XqV1IVW+8DR2kPzhWFeKafi3ZKAl/huVYDMWue5Gy/tM0Yp+P1LBVxlMB3U5nktCVZePIM0ryyfVCtDUksCCM7sGn3AgKnx2itT69dRUlBLzLMdCDWmkqQaawIHNXmq/dXEExz1dbjPPxkh2VT00yu28L2C7bcGuH/8fTkhkcPzfT2rV+97KV+27+p418kwAGEMwGw2xize8MmHt+3e3b52NT2v96z56FNy5t71fmnGWKleXSPyX2DRhoJq6bm2HkwYn5unHUrJK7S3Pmwx0N7aoxWIEjdmJ1MKDNd6VLK5Pp6pKP7zCrckalzsyuo+DZnrwTW1Fal0stJ6hAcxxDFCUmSthmlIE4Uxlj5Cs+VVCKZ5uKyeLy0SjWkTMEknWCmE8swFvRDxVLH4+wNcNnWLjfd3aIWCNYtlxzrdXj2OY9WTbLUdVnqKBY7Lg/vdoj6iquDKX7wFWckp23YtvvIUvQfzjjzkkNJws6q/21mTn6Xj3+xAM+O1Dd+p4lndiZJ/AqDXPkr/+nqj+588qvNOHq6tnGZZrRpRWdG6iF7jvR592eanL/eZdVUTDdM2HPYQUcujZp1enNzjfDMO8i6KQuZLk8kMo/iSpJ+nzVUqgaKWlVSr9hcX0kLxl4o8o5JP9T0Q02i7cQx9DRaK6S0Ub8WSKKS65hNbxRSpHbasXV4iNLuSJQYosimKZ2eR6sesGF5jO/HOMpn3TKH158R8ZefSZhtu5ymQk7Ma5J9TbqmynlnrW9fes01C8fmw+vHx1cf2CjVPt/5lw3s7PgXD/DsEM4Yxph9p2+Z3H/4aG/bmhWLl3R65/7t9PLn4jse3Dl2+PBiQ5uIL94n8HAZbUpa9Yg9hzRfeqBJ3XFo+Alu2mmxFFHbaakFMfVKiJJ2ezyKXXQCwuh0cGTwHUHgS2pVxWgdmjVNNUiQEsJIsNhR9CNBkmg63YSlrrZ22MJQ8S05Skq7RN2rpnl46kOPFJaHo6x2yXzPdoIakSFO3SbC2Cq2LnU8ur061507x62PdJlve8wsCKJ+je8//yhfvKvG5JimNTZBpXX23E9uX7EUxern161df/c6VZtPErTzrwTc8K8I4JBHc230zlnE1BeOHeucfnjn3/f/zfV/+itPP/HgTwTy8ejYYmPLGeucYHK0g+MscdN9ikNH6pyzWuSyZTZ3lghpqAQJtWqHvYfbRGGDVVMOjWqfJOlj0EihcNLUohooWjWYGI1ZNtZjpNFDyYROz+PQ8SqLHZ8w0hyf1xyaNbRDgyMFIzXDdMuue1V819rqJTK1ITEIZT2Nltc1y6YTlnTE7FGPVt/ywOMY+iEgDO2e4Ol9I2xd3+eac5e44asBR2Y0h2dHOGuj6j2+b+rpZas2mWte9jJPqMb/+fuPv//9l1/6A+ah3Sf0eVteOlrrd+r4VwXw7BDydLC7uZ09z+xDKecPHEf9wUJ4tvqx1zb/our1Tp+d2XFFO47UruerTDcUZ2+I2X1CEHYUyyYErtOj37c+NXOdLu++MaDhjnH9NTErJl2M7kGk0dg0xXMFtYpgtKlZOdkmMfMcXezhuzG9fkCtltCoOix1YS5MqLR6OLGVW+hHPgdmXXw3pl5V9KMiejtegpAOnhIsH5X80OWaanOBP/1YjU5YJ/AknV5EnAhWL4s5PrfE7v1Nlk80OGd9yGO7G1x52UiyeeO221dNV3f+29ctv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'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 75673000
{'hecke_orbit_code': 4503599761588235, 'n': 1, 'trace_an': 4}
-
id: 75673001
{'hecke_orbit_code': 4503599761588235, 'n': 2, 'trace_an': 0}
-
id: 75673002
{'hecke_orbit_code': 4503599761588235, 'n': 3, 'trace_an': -35}
-
id: 75673003
{'hecke_orbit_code': 4503599761588235, 'n': 4, 'trace_an': 604}
-
id: 75673004
{'hecke_orbit_code': 4503599761588235, 'n': 5, 'trace_an': 537}
-
id: 75673005
{'hecke_orbit_code': 4503599761588235, 'n': 6, 'trace_an': 1558}
-
id: 75673006
{'hecke_orbit_code': 4503599761588235, 'n': 7, 'trace_an': 170}
-
id: 75673007
{'hecke_orbit_code': 4503599761588235, 'n': 8, 'trace_an': -420}
-
id: 75673008
{'hecke_orbit_code': 4503599761588235, 'n': 9, 'trace_an': 1823}
-
id: 75673009
{'hecke_orbit_code': 4503599761588235, 'n': 10, 'trace_an': 1470}
-
id: 75673010
{'hecke_orbit_code': 4503599761588235, 'n': 11, 'trace_an': -5324}
-
id: 75673011
{'hecke_orbit_code': 4503599761588235, 'n': 12, 'trace_an': -34360}
-
id: 75673012
{'hecke_orbit_code': 4503599761588235, 'n': 13, 'trace_an': 4250}
-
id: 75673013
{'hecke_orbit_code': 4503599761588235, 'n': 14, 'trace_an': -29988}
-
id: 75673014
{'hecke_orbit_code': 4503599761588235, 'n': 15, 'trace_an': 6841}
-
id: 75673015
{'hecke_orbit_code': 4503599761588235, 'n': 16, 'trace_an': 52744}
-
id: 75673016
{'hecke_orbit_code': 4503599761588235, 'n': 17, 'trace_an': 54300}
-
id: 75673017
{'hecke_orbit_code': 4503599761588235, 'n': 18, 'trace_an': -71350}
-
id: 75673018
{'hecke_orbit_code': 4503599761588235, 'n': 19, 'trace_an': 67844}
-
id: 75673019
{'hecke_orbit_code': 4503599761588235, 'n': 20, 'trace_an': 15888}
-
id: 75673020
{'hecke_orbit_code': 4503599761588235, 'n': 21, 'trace_an': 102262}
-
id: 75673021
{'hecke_orbit_code': 4503599761588235, 'n': 22, 'trace_an': 0}
-
id: 75673022
{'hecke_orbit_code': 4503599761588235, 'n': 23, 'trace_an': -9015}
-
id: 75673023
{'hecke_orbit_code': 4503599761588235, 'n': 24, 'trace_an': 140844}
-
id: 75673024
{'hecke_orbit_code': 4503599761588235, 'n': 25, 'trace_an': 22531}
-
id: 75673025
{'hecke_orbit_code': 4503599761588235, 'n': 26, 'trace_an': -311700}
-
id: 75673026
{'hecke_orbit_code': 4503599761588235, 'n': 27, 'trace_an': -123005}
-
id: 75673027
{'hecke_orbit_code': 4503599761588235, 'n': 28, 'trace_an': -475840}
-
id: 75673028
{'hecke_orbit_code': 4503599761588235, 'n': 29, 'trace_an': 234078}
-
id: 75673029
{'hecke_orbit_code': 4503599761588235, 'n': 30, 'trace_an': -470786}
-
id: 75673030
{'hecke_orbit_code': 4503599761588235, 'n': 31, 'trace_an': 189857}
-
id: 75673031
{'hecke_orbit_code': 4503599761588235, 'n': 32, 'trace_an': -175560}
-
id: 75673032
{'hecke_orbit_code': 4503599761588235, 'n': 33, 'trace_an': 46585}
-
id: 75673033
{'hecke_orbit_code': 4503599761588235, 'n': 34, 'trace_an': 406536}
-
id: 75673034
{'hecke_orbit_code': 4503599761588235, 'n': 35, 'trace_an': 154098}
-
id: 75673035
{'hecke_orbit_code': 4503599761588235, 'n': 36, 'trace_an': 847780}
-
id: 75673036
{'hecke_orbit_code': 4503599761588235, 'n': 37, 'trace_an': 127895}
-
id: 75673037
{'hecke_orbit_code': 4503599761588235, 'n': 38, 'trace_an': -584760}
-
id: 75673038
{'hecke_orbit_code': 4503599761588235, 'n': 39, 'trace_an': -1010660}
-
id: 75673039
{'hecke_orbit_code': 4503599761588235, 'n': 40, 'trace_an': 2249268}
-
id: 75673040
{'hecke_orbit_code': 4503599761588235, 'n': 41, 'trace_an': 289842}
-
id: 75673041
{'hecke_orbit_code': 4503599761588235, 'n': 42, 'trace_an': 1046980}
-
id: 75673042
{'hecke_orbit_code': 4503599761588235, 'n': 43, 'trace_an': 704930}
-
id: 75673043
{'hecke_orbit_code': 4503599761588235, 'n': 44, 'trace_an': -803924}
-
id: 75673044
{'hecke_orbit_code': 4503599761588235, 'n': 45, 'trace_an': -1946752}
-
id: 75673045
{'hecke_orbit_code': 4503599761588235, 'n': 46, 'trace_an': 3519102}
-
id: 75673046
{'hecke_orbit_code': 4503599761588235, 'n': 47, 'trace_an': -1729080}
-
id: 75673047
{'hecke_orbit_code': 4503599761588235, 'n': 48, 'trace_an': -5738680}
-
id: 75673048
{'hecke_orbit_code': 4503599761588235, 'n': 49, 'trace_an': 139920}
-
id: 75673049
{'hecke_orbit_code': 4503599761588235, 'n': 50, 'trace_an': -2115918}
-
id: 75673050
{'hecke_orbit_code': 4503599761588235, 'n': 51, 'trace_an': -2047658}
-
id: 75673051
{'hecke_orbit_code': 4503599761588235, 'n': 52, 'trace_an': 2030120}
-
id: 75673052
{'hecke_orbit_code': 4503599761588235, 'n': 53, 'trace_an': 1098660}
-
id: 75673053
{'hecke_orbit_code': 4503599761588235, 'n': 54, 'trace_an': 4819690}
-
id: 75673054
{'hecke_orbit_code': 4503599761588235, 'n': 55, 'trace_an': -714747}
-
id: 75673055
{'hecke_orbit_code': 4503599761588235, 'n': 56, 'trace_an': -4311720}
-
id: 75673056
{'hecke_orbit_code': 4503599761588235, 'n': 57, 'trace_an': 1566240}
-
id: 75673057
{'hecke_orbit_code': 4503599761588235, 'n': 58, 'trace_an': 1046100}
-
id: 75673058
{'hecke_orbit_code': 4503599761588235, 'n': 59, 'trace_an': -4665777}
-
id: 75673059
{'hecke_orbit_code': 4503599761588235, 'n': 60, 'trace_an': 1373432}
-
id: 75673060
{'hecke_orbit_code': 4503599761588235, 'n': 61, 'trace_an': 310610}
-
id: 75673061
{'hecke_orbit_code': 4503599761588235, 'n': 62, 'trace_an': 4286670}
-
id: 75673062
{'hecke_orbit_code': 4503599761588235, 'n': 63, 'trace_an': 482900}
-
id: 75673063
{'hecke_orbit_code': 4503599761588235, 'n': 64, 'trace_an': 9539488}
-
id: 75673064
{'hecke_orbit_code': 4503599761588235, 'n': 65, 'trace_an': 4526160}
-
id: 75673065
{'hecke_orbit_code': 4503599761588235, 'n': 66, 'trace_an': -2073698}
-
id: 75673066
{'hecke_orbit_code': 4503599761588235, 'n': 67, 'trace_an': -3368245}
-
id: 75673067
{'hecke_orbit_code': 4503599761588235, 'n': 68, 'trace_an': 14958120}
-
id: 75673068
{'hecke_orbit_code': 4503599761588235, 'n': 69, 'trace_an': 7154939}
-
id: 75673069
{'hecke_orbit_code': 4503599761588235, 'n': 70, 'trace_an': -12580596}
-
id: 75673070
{'hecke_orbit_code': 4503599761588235, 'n': 71, 'trace_an': -3416541}
-
id: 75673071
{'hecke_orbit_code': 4503599761588235, 'n': 72, 'trace_an': -25536720}
-
id: 75673072
{'hecke_orbit_code': 4503599761588235, 'n': 73, 'trace_an': 11466230}
-
id: 75673073
{'hecke_orbit_code': 4503599761588235, 'n': 74, 'trace_an': -16581438}
-
id: 75673074
{'hecke_orbit_code': 4503599761588235, 'n': 75, 'trace_an': 3217760}
-
id: 75673075
{'hecke_orbit_code': 4503599761588235, 'n': 76, 'trace_an': 2169824}
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