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mf_newforms • Show schema
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{'Nk2': 1980, 'analytic_conductor': 5.994565815926532, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 10, 'char_parity': -1, 'char_values': [220, 10, [111, 177, 101], [10, 10, 3]], 'cm_discs': [], 'conrey_index': 41, 'dim': 16, 'field_disc': 2433161970661372967026582275390625, 'field_disc_factorization': [[5, 12], [3156933865609, 2]], 'field_poly': [75625, -543125, 1679000, -1918750, 2290475, -2296850, 1738315, -600030, 232616, -25103, 10633, -1436, 735, -111, 33, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [495616, -1976832, 3597312, -3096656, 2223681, -1128522, 596355, -186303, 102019, 481, 15995, -1994, 1071, -258, 68, -9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504630469853404, 'hecke_ring_generator_nbound': 7, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1980, 'analytic_conductor': 5.994565815926532, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 10, 'char_parity': -1, 'char_values': [220, 10, [111, 177, 101], [10, 10, 3]], 'conrey_index': 41, 'cusp_dim': 264, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1030842482908, 'hecke_orbit_dims': [16, 16], 'label': '220.3.p', 'level': 220, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 312, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 108, 'trace_bound': 3, 'trace_display': [0, 8, 0, 0], 'traces': [32, 0, 8, 0, 0, 0, 0, 0, -38, 0, -14, 0, 30, 0, 30, 0, 80, 0, 60, 0, 0, 0, -96, 0, -40, 0, -250, 0, -250, 0, -40, 0, 12, 0, 0, 0, 28, 0, 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-480, 0, 924, 0, -3590, 0, -3700, 0, -15730, 0, -3700, 0, 0, 0, -11000, 0, -5784, 0, 4166, 0, -600, 0, -7308, 0, -644, 0, -10450, 0, 6742, 0, -5850, 0, 18100, 0, 0, 0, -6492, 0, 3002, 0, -2140, 0, 5980, 0, 8106, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 37140620
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504630469853404, 'source_is_minimal': True, 'source_label': '220.3.p.b.61.4', 'source_level': 220, 'target_conrey_index': 61, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630469853404, 'target_is_minimal': True, 'target_label': '220.3.p.b.61.4', 'target_level': 220, 'twist_class_label': '220.3.p.b.61.4', 'twist_class_level': 220, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 37140621
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504630469853404, 'source_is_minimal': True, 'source_label': '220.3.p.b.61.4', 'source_level': 220, 'target_conrey_index': 101, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630469853404, 'target_is_minimal': True, 'target_label': '220.3.p.b.101.4', 'target_level': 220, 'twist_class_label': '220.3.p.b.61.4', 'twist_class_level': 220, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 37140622
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504630469853404, 'source_is_minimal': True, 'source_label': '220.3.p.b.61.4', 'source_level': 220, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647717748, 'target_is_minimal': False, 'target_label': '2420.3.f.a.241.2', 'target_level': 2420, 'twist_class_label': '220.3.p.b.61.4', 'twist_class_level': 220, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 37140623
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504630469853404, 'source_is_minimal': True, 'source_label': '220.3.p.b.61.4', 'source_level': 220, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343647717748, 'target_is_minimal': False, 'target_label': '2420.3.f.a.241.1', 'target_level': 2420, 'twist_class_label': '220.3.p.b.61.4', 'twist_class_level': 220, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 530075
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504630469853404, 'p': 2}
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id: 530076
{'charpoly_factorization': [[[495616, -1976832, 3597312, -3096656, 2223681, -1128522, 596355, -186303, 102019, 481, 15995, -1994, 1071, -258, 68, -9, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 3}
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id: 530077
{'charpoly_factorization': [[[25, -25, 15, -5, 1], 4]], 'hecke_orbit_code': 4504630469853404, 'p': 5}
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id: 530078
{'charpoly_factorization': [[[5677831152400, 2011505159400, -168040936100, 31898821350, 71234271955, 4717581375, -2198161785, -542486010, 81381166, 11696235, -1754729, -58140, 25986, -640, -54, -10, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 7}
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id: 530079
{'charpoly_factorization': [[[45949729863572161, -8734246172414543, 210274701240307, 20801814530002, 4824789693548, -467201381603, -34237246450, 1079267970, 387509881, 8919570, -2338450, -263723, 22508, 802, 67, -23, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 11}
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id: 530080
{'charpoly_factorization': [[[586694626368400, -939417999955600, 387404148949400, 28459333274350, 1897240457685, -2976126810970, 20231812605, 33240341225, 2306741746, -234620205, -25814716, 564985, 113506, 415, 19, 5, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 13}
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id: 530081
{'charpoly_factorization': [[[12139672064832400, -55382304364387000, 73358221955113700, -9932189227465450, 374912535179765, -22558903419800, 6365138884145, -540354058205, 1639432111, 2454559625, -74002449, -4392310, 313391, -1410, -34, -25, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 17}
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id: 530082
{'charpoly_factorization': [[[336326662997400625, -12076240942115625, -57134276044491875, 2603330398895625, 3686900219183250, -226837297933125, 9550207627500, 6897698567875, 502084945375, 9600396100, -370258675, -18796800, 629205, 4595, 30, -30, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 19}
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id: 530083
{'charpoly_factorization': [[[107673335396, 24945224876, 1739937587, 7786943, -3781275, -126253, 632, 84, 1], 2]], 'hecke_orbit_code': 4504630469853404, 'p': 23}
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id: 530084
{'charpoly_factorization': [[[186921595549608198400, 23194519240256777600, 6255720676845720000, 1596359776104747200, 633750505469382480, 92359258850737200, 5078086108872520, 36091897386260, -5019667770759, -39819200730, 5099598259, 14119215, -4285844, 7335, 4419, 105, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 29}
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id: 530085
{'charpoly_factorization': [[[855738697376839936, 633719936870366720, 111115268982117312, -89973028130715840, 20634589852169008, -2487551082998000, 300048338408364, -29762404681040, 2374154366365, -145565488290, 9506407379, -405608710, 12864703, -266250, 4757, -40, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 31}
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id: 530086
{'charpoly_factorization': [[[2447279215210368400, 1751149069741502600, 851422452519769000, 239298943910021800, 40409942419299785, 3345974260035290, 211540986477180, 11579179057250, 680948746016, 13744526014, 888524177, 9968012, 1519605, 43798, 1357, 16, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 37}
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id: 530087
{'charpoly_factorization': [[[67773263639154514797525625, -12782084565597965106092500, 1015504421632108739008750, -43689465822672180180625, 1122197438619136534125, -20558486331946413250, 462778803489274375, -13163971246358500, 198882563900475, 2691664923575, -165479933150, 1924371425, 41154990, -1794895, 29425, -255, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 41}
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id: 530088
{'charpoly_factorization': [[[95012360787817708065408400, 0, 850376133159848876135400, 0, 2370114545408215802405, 0, 3148197115878609890, 0, 2269831990761671, 0, 917939227659, 0, 203299131, 0, 22754, 0, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 43}
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id: 530089
{'charpoly_factorization': [[[5196491192907702386790400, -142327590866021483379200, -8651668876230374113600, -342648896029380224200, 223087987888382459585, -23053503260591209475, 1394276088045310305, -56009673955035275, 1620732592921116, -35661571255747, 672924242478, -10825843449, 148901880, -1607939, 17223, -102, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 47}
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id: 530090
{'charpoly_factorization': [[[2603626087300060816346896, -623932351042411150747704, 298213320978376561401148, -12245747839843808230438, 677159243331859515001, -8720206880900930224, 395156642391663610, -31067502916990084, 1675504635788884, -56900053959168, 1381142747955, -25020235277, 369180016, -4563016, 45097, -297, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 53}
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id: 530091
{'charpoly_factorization': [[[3639496525900764349362025, 21588694437959796617800, -15188630804689489109600, -330116603033356241025, 396923920036936128585, 6753206358809713920, 1234923867238077825, -25409115699072425, 758826075931486, -3567500163783, 153990364463, 671174004, 65721905, 98719, 12478, 22, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 59}
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id: 530092
{'charpoly_factorization': [[[156686708266893524164000000, -46778409219831808308000000, 10321521875314324063400000, 294480048894697057680000, -12613674213927697572000, -424355022664897998000, 4392874905110809600, 276695286742104080, 2166666174593201, -44946721454810, -750196996361, 2824153140, 93290156, -39690, -686, 30, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 61}
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id: 530093
{'charpoly_factorization': [[[-70950001317124, -5580959786662, -24116787883, 4813137935, 65717241, -973895, -17542, 34, 1], 2]], 'hecke_orbit_code': 4504630469853404, 'p': 67}
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id: 530094
{'charpoly_factorization': [[[58243656815594498249257216, -5420907959722000003285760, 3151606589857386780554112, 197778879397945810848000, 7029012972783098402928, 165113432796826812160, 7882017504252925604, 100090606223299250, 2053132162356455, 36527352928525, 660685623689, 4234321735, 154265468, 2453725, 32927, 240, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 71}
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id: 530095
{'charpoly_factorization': [[[495850097413051625125776400, -30783259139234655532558200, 739561754652429474208200, 84645689277857579355100, -3258408586708462750995, -14723078685919058850, 4920344948897152675, -143210556251234495, 1418458109300151, 11219920427395, -273210108321, -2379728340, 51618391, 556540, -7446, -85, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 73}
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id: 530096
{'charpoly_factorization': [[[79404860528955727933542400, 12136518176915005203276800, 968470636589979281824000, 37103784566527828273600, 359537595195794550480, -31354179578281302400, -1247483946095522000, -4591447207659090, 714691020298311, 16334557002605, -6234311974, -5569586935, -77922529, 241765, 18276, 215, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 79}
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id: 530097
{'charpoly_factorization': [[[3186725119135122599902608400, 704495348298068701887086200, 82431642514768032883537300, 5899352569379669693327250, 277557300045306778867955, 8335886554779664193625, 140646203427138051175, 523037573538408240, -30355009131586364, -652946781546345, -3221594933931, 93496538140, 2263451186, 25166360, 164454, 610, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 83}
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id: 530098
{'charpoly_factorization': [[[367433895690751, 46977649459520, 2235058861641, 45217664070, 219159956, -4233110, -38509, 80, 1], 2]], 'hecke_orbit_code': 4504630469853404, 'p': 89}
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id: 530099
{'charpoly_factorization': [[[10067371453378820070976506250000, -90438012022139303800695625000, 21578099376347534850862375000, -856403978590381387959850000, 19841311580209458163040625, -290694049150963435977250, 4078345922091955192925, -42602937709659764605, 396732946428783166, -2457277995578701, 15711383230092, -77453089003, 1219070440, -5941227, 33227, -179, 1], 1]], 'hecke_orbit_code': 4504630469853404, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 16, 'hecke_orbit': 2, 'label': '220.3.p.b', 'level': 220, 'portrait': 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McevhYIa1g7bVgzlbDUDegOBaPYY3kg2DBlWOwYTpxX1DyfDbOwZW3I+rkR6+bGbJgbs2W9ZdsGxVVbPeqqydETbR54xuexAzFPHY9IVI/veXGHN73QUldzHDg+zdEzmtMXEs6l4D60YLnlmnl+5e3LbF0zxZkL01xYrrHY8VjqSJZ7Cd1BwmAsOHh8gcOnVq568vDCS/afXNhx8NTCF27/rreE933ho99uSHxLt7/TDL603GEwsnia33z4ycMv/He//2n5ulsOvfD/+N5TerGzjuVui6VOncWOx2JHs9gRLHUSljoRiysJ51bg8KJg7ZoV/v2PLPL83Q1Onp/lzIUmZxY05xct5xZiTs0nXOjFTM+OeNF1fV6wB3xZJ1AB55dqnF3QnFsSDMYQx4aab2jWEmamYgxw/FxMtw/b13s062OsFSB8+kPDtg1jFlc0WCdFVvowjsFiWeqEbF7n0RsqhLIIM6Zd89i2ccTKQHD8jCYxmrm2pFUTBB7EsWAwlpxbkpxdtJxfjgmCEXgxt13d54XXCNa26ywutzl5PuDMApxfiDm/FHN6CQ4vWm6+eoFf/5FlNky3OXFulnOLdeaXfRY6kqWVhOVuxHI3YalnWOwLznQFi8sDfvtfhvH3v3Tq6631P2rqU1d+XYnklyMTENTa326oXPL2d5bB3/dnn+CFL7iRX/j5f/UbH/7Lu/7PP/nIVy7fd2Jlx4HTPfniazvs2mSIE42xEmsde2MlIAGBEBYtLL6EM4t1HjokuW7XEnu2jmjUwNMS31P4vqZZlzQ8yaDvsf9YjS895nP8wphuHLH/5Jj1c0u8/kXLXHd5j5v3dDi2ELMwEDSCEUfOWDrdJtdeJlkZJew9pmg1NM8ehys2WUZhwijx0TpipgX7TgYoneDJGO3BcCx5/p4Bw4HkussTusOE42da7NygaDZCVsaWddMDlvtdPnoXPHE04amjI7ZvWuT6K7vMzIa87rYe3/9Sy64NLZJomqOnpzh8yuPkOcOpCxGnLiQcviA4sRLxvN3z/Psf6bF+epqT52Y5v9hgfsVnsSNZ7iR0ehEr/YSVvmW5Lzg/UCx0Y27Zs8D/9voLsqbsjoXzx3eORuGtfmtXvd6Y+fKjD3yaP/zjD3+7IXPR299JBv/ABz/B9i0b1d4DR/7d0RPn/s1jTx9X55dDlkaK0wPLNdvO8zs/M88NuxqcX5xhsdNgqVNjqeOx1NUs92C5k7DcjVnqxSx04OSyQNdH3H7NEj/w0pCd65qs9NtcWKozv+Sz0BEsdZxEWO4ZukNDd2wZjGLm2hHb1htAEHiWUxc8hAzYvk6xc5Nl07oB55fHPHmwxU1XWBr1ZZ45NEurGRKGHnMzhuEIrto24kN3TXPl1pjx2LJmShIlQ1q1gGePjah7TW7YHfPUkZDziz6b5wJ2boRtG0KUiji1AL5nEcKyfX3MTEvSGwb0Bx7dgcdSV7G0Aosdw1InYaGTcK4Di6OEbZv7/MDLFrh9j6bmtTm70GZhucbCimapK1juGFZ6Ecs9B+7FPpzrKc6vxDz/ynO842cWuXxTi8WVNiu9GoNRG1m/PAkaG35jds32X+91ziXPf+Ebv93QWXX7OwXwAwcOUKvX6qdPndr24MNPv/Xo8TP/8dDR04SxpDeGzlBwoa8404u56bLz/PbPLHL9ZXUuLM+wuNJguVtjqeux3NUsd6HTM6z0YpZ7MUtdy/mO4Ezfgujzphd3eN3zDZdtrBGGDZY7NVb6Pp2eYrkv6A0Eo7EljC1JAkpaAg/qgWW6bVk3G6G9EYfPhjx9KMDETV57a4j2Vnh07xQ7NsJfPxTz4msDLnSG1LQiTiJmZyCOPLQXs7jY4EU3dvnr+1vs3AiPHBzj0eA1zzfEYsjThxOOnqqhpc/6Gc1MU1APBL4vUAJiA2FkGYXQG1hW+obewLAyMCz2LcMkYfuWAa97QYc3vTAE02JxZYoLS07WLXU1yx1Y6SV0+jErKbiXBnC2q5jvJty8+zzv/JkLXL29zvzyNCvdBp1+QG/o0e1Do72Zemvjv51dt+cvNm/efGI8Hg2vuOLKbzeU8tvfGYCfOXWQ9evW+vsPHPqxvfsOvuvrDzwhFpZ6MoxhMLIMxobeULAyFFwYSs72Ip5/+QXe8ZOL3Hh5jYWVaRZXmix3A1Z6Pss9zUpP0OlZOv2ElV5Mp29Y7lsu9ARnO4aZ6QHfdXOP2/bEbF+vaNc9ur0agScBRRhLjBEYC4MRIAwzrREHT1uMDbnzkSbjQZ3LN/vcft2AyKxwz2PT3HCFx8FzfTrLbV5w3YAvPxqwftay97jln76xy95jAetnJV96THH7VYqlQZcjJ2e5YXfIPU8PiccNbrvaZ9fWEcO4zxcfVZAIDp/StBsaLWAwlBgrSIwligFp0L6h07c0WxFbN4554VUDvuummLlmjfNLUyyu1FnuumOz3BV0+tDpxXT6MZ1+QmdgWRpIzvUEC72YW6+c5zd+cp7rd9aYX55ipd+g2w/oDjz6Q81g5GrdI1M3W7dfa7du3/VzO3buet/S4nx47TV7vt2QAv6OADyMYhmOh69/4qHPXR5G8TsffOhRb6UnGI4sg3HMcGQYjAz9saU3FI7Jh5IznZjbrrrAb/7kPDft8lnpTjG/3KLTr7HS81npazo9RWcAvb6lO4jp9hP6Q0NnYJnvC+b7ECVjrr9iyIbZhP7A8t0vGLNjgyFOJFpawgjufrLGiQs1Ns7EPHO4BqbBni2KG680BLUBjx4cML/Q5JodTdrTy9z/lMctV9RYHKywvNxmwwbLQ3sV/+gVfR7eq9myzmOh32F5aZYbrxpw/zMJs/Vprrm8z4VOh4eem6aum9x8pWX3thHIPk8eFaybjTg/H3HPkx6jSCElJMayY2PId70gpNdXbJox3HgFhGGDpU6DpU7ASt+jO1B0+pJuH7qDhG4/oTdI6A4MKwPL0lByuivoDMfcvnueX/+JZW6+wl0cnV6d7iCgN/DoDTX9oaI/kgxGgk4vYbkTcv0NN0dae7/wg2/5h4eajfpnlfbMtxtb3/ZMZjjuY+L+j5w6+tjvnD97cHZ5eYlGTZIYiRAWBAhihACEswCFsEhpkVLz8IH1/PJ7NG+8fYkffMUSOzeHnFtsE/h16oFPI/Bo1jW9uqQ19JhqagajhP4wYf3YMBxbeqOApfkap05awthw+lxMEFhA4CuLloLBUCHwiAea5+0Q7Npk2bZ5wDjp8fmHFfsOzfDqmwJuvGqZD3ze4osGOzYPeOp+xeZpxZr2gJqqE0YeF3rQrGm2rBc8sS/kxt11XnrDAu+/Y4jvtXjVrRYvGPCVh0L++sEmzx2tc9mmBjs2JqydCdm5JuLaHQlKGbSygKURBKydDggjj97A55mDHv2RZpACsT+E/sjSH7jv3hsm9IeW7tCyMoT5geL8sqUx1eGfvXae7719zPWXNTm70KbTr9HLwa0YjBT9oaQ/EgxGllFoiRPB1+57xJtbM/c7GzY8vPTSFz3/X3a7g/e3243/dQEehQMQ/MTZow/85rH9d82Ggx5aeQS+Ik4sxgpAIQQIkSAESOE6aZS0KJngS8lTB9fy+IEmB89c4I0v7PPCq0dMt9osdRo0uzXaQ5/+QNNLT/ZwpBmMNaOxZRQawsgSRZY4cfcw9rEGpBJ4WlDzBdMtwUwLNqwxbFk/YM1Mhy88Cvc+7iHNFK++yeN5e3rc91xEOGpz+/MEneGQC4tNbtttWDM9oK4DRrFivhuhjOB5uzWN1pjH9td4yY1TvOD6Ho/tV2CnuOlqnx//niW+/ETIlx5usvdEjW1rFRtm68y0Gky1oB6Apy1KgrGw96ggSQRRLAhjGEe47zhOGI4No7FbCQdjQ38I3THM9yUXejA2I155wxKvf2GHH3qVIY7bnFto0u3X6A19+kPPsfZQMRgJ+mO3wg5HhtE4IYwtUWw4fOwsf/bRz8/2h/H//YbXvVR3e4P3tFvfPpB/2wAejhcRIv7xhdN3/+b5419ZJ22fZtNHjY1L2NjU7kMghEIIgZSk4AalLFpZPGWoe4KFQZ2P3LWFrzze5cXXrvD2V65w7c4+c9MNFlca9IYBg6GXAlu5eygYR5IoFsSxW+pd7ZYLKrWGmg+NumG2FbF53YCYPgdPR3z0nhpHTjaZDurccrXmtuu6PHSgw50PtLn1ihrbNg740F0CJQLarYiV/hhjQQlY2x7Q7fmYuM7rX3yBj/x1g13na7zu1gFhtMg9T88RJTWef/U6XndLlyu2dvjKYwOeOtngyaM+W2Yls21BIxD4nrsIpQAhLMaCMZYoTi/WyDKO3IU8CmEYQm8kWB4Llnog9Igbrlzh7d+1wouvTphr11nuNuj06vQGAf1RqrczSTKWDEcwyC6ckbt4xqEljCExijPnO7zvo19a1xvzm2/+nhfZs+eX/2Tj+pn/NQA+Ovv/cOTsHs4cufNHSbrv7C8/sUbaFepBDUQCkIMMcMAWAikkSmqkTFBKpMuzwVOWQFvqWrA8Uix2ZvjY3U0efKbP7dev8PZXrXDDrg5zSZ04DhiMavSHHsOxJowUUSyJE0liBMYKlwUVlsA3NGoxgR/ie2NOL4654xHJoVM+R0/NoEzAro0+V+1U3LSniwrmefpwi83TDa65DDasXWap2+bazZLYWL7wcMB4IJluxrzm+SM+e0/EiXMtrrzc4+zKiGePeGxdP8P1O+e576ke9z8rGIc+e3bOsmdrwJ4tPQ6fXeLQaXh4X4ODR5o0tCDQkmZgqXkgpQuqrHUXa5xAGEOYOMbtjgTdCEITY+yIm6/o8vbv6vLiaxM2zgaMRlMsdmr0+gH9kc9gqOmPnCQZjgXDkWQ4dn2jo3HCKExXhjC7gJyjExnFybMdPvAXd607fvL8O9fMNOIPfujTH7jjiRU++I4f+fsL8P/rHX9MsOFTzPTsD4nw1H/trJyZlhZqgYeUEQgcE+EepQApJVKSglqhlEArg1YJnhb42uB7lsCzNPyE6ZqgN/ZY7s7wiXvb3PXkiPUzA976sg57to4YDftcs9OydYNiHHkkSZHmF1ikNHg64fh5y9FzgpWh4TP3NTi9MIMNPWZqik1zmu0bNJdthmt2dTFygXd/tsnS0hS37tFcs6vDV54UiNhj3Yyk2YgZRD7SSrASpX06I8H5JcHVtsHLburx9cfqbFrjc+s1s/yT71ngfX/d4+H9Tfojj8WVFjs31bly44Dn7+7xfS/pcWZpic/cF7A4CDh+1uP0aR9PCaSUCATGWhIDkbEksWFmLuK6qweMxxF7to5588vGrJtSzLYCoqjG2fkag6HPYOxWuWEObOnAPRaMxjggjxNGY+OSWKFlHDodPgxhFAuGIURWc+xcl/d+8qE1O3Zs+q83X78++uA7rvnwhWO/zbod/9ffP4D/0js/wtte9UbxY78s37K2/swfv+X2xxtX7wjoDWqMI4OSxgWPoggihbRIqZBSoqRMwS3RSqC1wNMJvhb4nqHmWeqRpRFapmoJM3XBIJT0wiZHTzV5x4dnwcSIOOam6wbs3BASx2CswVqXxJFCIJVAez77T/jsPVSjWdO0fMmahmDtnGTdrGbTWsX2jQlXbl8hEYv83ifbHD8xza27PfbsSBjGPR54OmC67jE3ZZluhTTqTgoZI+mMFEt9y2InodOv86JrVnhk74B9JxTT7RrPv3qan3z9Ir//KXjsUJP+0LLS05xfarNhTYN1MyO2z434V28Z0G50eOoo7D8p8TyLUhYhDGDd/yzEMezYkHD7tTFJ5BHFAdY2GIUe5xZ8hmO3oo1Clcu3YSgYjQWj0LG2A3HCeGwYh4ZRZHJgj0LLKIJRJBiGgn4s6EeCbgyjYczc8hPTr7thzR+/8+x8fGb55z929tCM3Xj5T/z9Afj/8/sfZs/2tvroFz/ypjOn5z/w/q8v157a1+SdP9Nh99aI/qDOUAZIZZw7ogxKemkgaVFKpXpb4mmnOX1PMfYk49AQhAnjyFKPDOPIEIaWdgzjyDCOIYwFo0gyTgKipMa+Q02e3AeJtThoO23sSfCVq/loBXDNRmjXYaopmWkp5qY162Zh24YxG9euENklfu+TUxw+MsWNlyku2yLZtWWZrz4bc35xipt2Smbahpo/JJABVgniRCKsJU5Clvs1zi963LinzvN297jvsRrrZwSNWosbdxv+2ZsW+a+fMjx7usVK37DSU8wva9ZMN5lp15lpT9FuRKxtRmy/MSTwYjwdo1SCFE7nWdxFFUWKC/OaKFZEsSKMFOMofQwl40gyDiWjUDIOhQtQQ8E4tIxDd1zHYUIYppo+cu+PQgfsUQSDyAG7Ewl6oSUej3ne9iX+009d4KW7zzYWLrQ+YO17zPn+7k/ue/zPkz03vu07H+A/9x//nMP9QB169MKbF8+cef/e/cdr9VaTLzy8Dl8bfv0nO1y1JcZTMXLkmFxLHy0tSmmUtHjK4mmFpy1eKPE94U6CJxj7ijByQI8iSxgnzhWJS/cE4sSSJIbE4PS2IQe3EKAkaAmeB4EW1AJBI5A0G4qphmRmSrBuNmb7hgGt5gqf/HrIPU/PsrLQ5rptiu0bPa7YOiIRK3zh4QZNT7N2RtFqjHj6MDx3RHPtVstgrLj+iojrdlnOnU2YX/YZjhq89pYeX3tqyMHTimZdEvhtrr3M8Os/usjdzw757N1rWOxatq9LWO5optuKqaZHq+HRrFtqgSHwDYFO0MpJLZm2VlqLS1gZQWwkcSKIY0EUS8JYEEWSceSclzAShJElDGEcJYSRISwRxzgq31PWTsHdiySdGAbjGBENuXHbMr/2Ewu85mbBUmea5eVjNfzGn21cN/zHa+a8j/dO/X7S2vJPv7MBvqlp5WDU/cGHDp75g8OHjtd8rakbQVhv8lf3rycMFW9+WZc3v6LHbDuhN6ihZILSCVp7eDrB0xov0gRaMfJStvEkoS8II+FOTqSIYggj6RyEuLD94sSQJM5dSGzqlKSBbObOKOlkj68FgS+pBZJmXdBuWKZbhvWzY9bO9IjtCh/7muR9fz3HulqN67YJtm302LHJsH3jMp98wLK0VGPPBsVMG1qNiPPHJBeWA/ydMI4Ea6ck09Nw8KhluWs4t1Djih01XnFTjzvurTHXgsD3UXKaa3cJfup1F/DkBf7qvhmeO11jfTdi3XTMVFPRqisadUk90AQ+BB5o7RymLI7JQY67sBMDSSKIE1KgQ5Q4FySKEkcKkXHWXwrwMIJxnLkyqQUZC4ZRJkckvcgQjiKmgi4/8JoF3vKyPq+8QdLpNxmFPlJq4tG+2niw9Y9PjK/Q1jb+HMcz35kAf8+ffookMT96zwNHfvv0sZPtuqeIjaWpIPIUfVp84WHFA8/UOLu8yD/9vj4z7YhaENMbxHjax9Menvbww4TQ0/iRYhxJQs+l0h3jCMdEKSvFMUQJJIlzEoxxAZcxNuvhTMHtAO60vcDTDiC1ABo1Q6seM92KWTs9ZM3MCl/fF/Jnd9bZf3SaHVMeuzbAlg0+W9bDldu6DOIuD+1tU1cea2cU0y2Ybo2ZmYrxfY0Q7uIajn2WuhErA0unH3Nh2WfbhhYv2HOBOx8esP90m0YQ4SkfIabYtVnxw69a4OYrL/Bnd7Z46JlpFvuade2Y6UZMoyap1xSBJwg8iee5WEWpNGhP+yotrofVGHKgx4lJV7fUWowNceLAHUcQxra4R86VGcWOVAaRoBsLeonT2iYeMlfv8XPfv8j/9bYB9cCn020wHNUIIw+TCIz1OX/ubBuv9Xutuev9fU99+n17rv/e7zyALyx1UFL+xB++7y9/88SJU3PTDZGyhEgPtUEKRV82WBkpfvsvPPYeXub1Lxnwsht6rJ8b0+vVGWof3/MJfI9xqAkiZ++FvgN4FEnC2C27UZx62gmp9UfK3BJjKcDtkpQpc4NWLmHie5aab6jXYlq1mJn2mI1rupzvDHjXZzy+8MgsS8tNLl8r2LZOsHmdz5Z1gp2bRmh/hY/cozlyssnu9ZKZlmSqmSDlmNPzlkBLpABrBWGk2b6uy8MkdAeK5a7l/FKd3VtqfN/LOnz8Kz7Hzgd4OkIID2ObRLHkpp3LbH9bly88NuBDX5jl0WNNNs8I1jQTmrWEmi8IPIHvuVhFK1zgLEVek2FxF5mxOKclcYDPQB4nTtI5sEOYuFqXMEsexYJhDL1Y0othGBqSwZgta3q89MZl3vCSAd99s0GLBsvLNcZRwDj0GUeaKNaEsSIMFWHn7FzQ2vnOPc/7PhWOO+/xg/85E7f+pwC82+ng+94/ueML9/zmk08+u05Li/AEShTLphSghMETgp6o0Q01H/lqjbuf6nHjni5ve9WA193aYW46YDgKGI59As8jjD3CSOeBUhwrokQSx5IoEcSxJEkEiRGF1jaCXJVY0oyoSxapNFnke4bAT6gHMa36mDXTfYbRkK88bfnoV6d46JlpZnyPazdbNs5K1s/5bFor2bI+5LLNyzx1bMhnvraWKaVZOyVoNwXtRkRnkPDXD9Ro+RYhHLCGY83rbx/zuQddTUynb7iwrNmyrsUbX9jnoX099h70aQYxSgoHctNgFDqt/8Ov6LB74wU+cneX+5+b5sRynQ1twVTN0vANNW3wPdBKoCRpgsx976z8yKRSzZhihYtToDuCgCgRREkK7EQwigWDWNBPcDFPGNKsD3jjq5f4wVd1uWl3wvoZj+GoSacXEEY+48gjDDVhrIkiRRirnIhOH9+3TngP/OZlV77YdLvd97bbf/uNE3+rAJ9fXGF5uc8w5Ee+cs/X/vPnv/iVuV53OU+9O187e8wCO4svBX3l0fcUp7oBZx5s8ODTfT5+XY83v2LIa24fMTvtE44DxrFHGHlEsSZKgR4nijhJEzZJAXBjU+Y2RU2ZEDYNKl0dh9YG30sI/Ih6ENKqD0kY8uXHJB++a5pnjk4hooAdM5aN05Y104q1sz4b1kg2rY3YtqHLyfkef/jZJvG4zpYtgumWpt2EdiNCeCHdYZPplkUIgbUQxZLZQBGbmF7k0xskLHcVp+frXH1Zi5/+hyu8888Djs830SpKLwxNHNcYhZINcwE3Xd7lusv6PHv8NB/9ap07H53mTKdOM1C0fGh6Fl9bPOWOsZKpJCudLwNY4y66xAgSC3EinH+eCMLEJYmGiWCYwDC2xHGMicbM1Ya89pUrvPWVPV58bcRU3SOMmix3AsaRTxQ5IgrjLKGm8sRalEiiWDLqdVl47O51xoj/fM11N8eDzsk/VX6boDb9dxPgvd6QmenmG+669+Hf/+Sn72yPhx0CX6MSi5IiZW4HcCVBCZu7F0FiqCnBQPkMYs2FcY2/erDJPc8MeP6X+vzz7+9x1bYu66YV7YYmjHzC2COOC5AnGcCNTDt9SNP+GbjTVL+yLlmkYwI/xlMh3WHEfDfidz9Z4+iFGR7bO401PnN1wbo1ljVTgrm2Ym7aY/2cZMNczOa1A+aml/nC44ZHn5vmui2CmZak1ZC0G4ZmPUR4Y4JAo5X7+9ZCkkiGY81wFBEbQW9o6PUtS12Pc4ttbruyzwuuXuEjX6pRX1JoGTlAWk2c+ISR6/FcM13j5l19br68z8MvPcPxecmf3TnNhZUGpxYDfCVpegI/k2EpueREnkkVHJPHVhAbiIxgnMAohtBYSGKII6Qas2lmyHXb3fm45aqEdl0Tx46xx5FPHOuUgFQKcJVak05OlldbYwXxuMOx/V+aazf5/U3bb1mOouFn/jYx+bcG8Of2HmDHtg3q9/7gQ5c//ez+dr+7TL3uOWAhHLAlqESg4tTflqATgacsfmwJEkFDCYZKMNABw8RjMaxz56NTfP25Ic1gzD/+7g5b5mJ2bBpy2zU9tHAtYkI4ueKykq5W2toSc+MSR0o4z9wSg4x59qjkkX2aOx5q8eyJFmHcoKUVa+uW2aZlpmGdD97WzE5p5qYFG2ZjNq0dsnHtMvc8M+bdd6xj47RmbRvaTUW7KWg1YurBmK8fUIxCjdd0oLJWEMaSmlbcsHvIg09Pu8KnYcJK12NhJeD8wgw//brznFpY5MEn1uJJQEQYyAE0DiX9oWamVWO63eQFuwe89LoBb3v5PPtOGj73UI2H9tU5cKRJLDTjsWIQKZSQCCEmAs80J2ANsbFYY/BEwpQfUiPiBTf22blxxJY1EW9/zZi6L2nWPcKwQafnpyupTglH5V57Duz0HidZjCTT4F9gUSyv9Hju6fvaCwvnL7/59h9Up08eSjZvvfzvDsCf2/scmzbO+Q8+9PCPNXzz29Fomam2nzOWki5iV4YU2AIV4yRCYtExeFLgGUsQW2pK0EgEYwOjxGOYeAySGr1ewn/+yAw2jli/dsTV20bMTcW8+RVDtq0LiSKRHjQJJeYm1Z9SGoQUfOLuOk8dbiK05viZBqfPN6jVFVOBYLppadcM7Rq06oKphqLdUsy0NHPTsGY6Zv3ciM3ruiR2hU98rc2w3+SKLZZ2Q9FqSFp1Q6sW43khX3iwxngg8da5btFMojTritc+f8i9jxv6Y0l/mNAdaFZ6mnOLDa7a2eLNL+7y2LMNji+1UNIAUaqXPaLEuUmjUNIfaTp9n1a9QbM+5qotI269csTJCx2OnV1BewlPHtF8/KsNhHKFa0zOH7QGMGAtUZiwfX3MW18xZE074crtlvVzkMQe47BFHHssdz3iSBElOo2DFFHkVtIoVilLp8COhWPuROQefJL68m6V9emf7KBq9refefrRwdoNO9934MC+cPfu//Gmib8VgJ89c4qVpYXdJ06eeteTTz4im3WFMakdlUbqLuhzrO3uFp0ItHQ6MUosXgKxEgSJpWZcjXFoLGEiGBvJOJGExiMyMN9v89WnDJaETz/kRjZgTXrPsnipRSayikSJVIo40kij8bSkFcDOtZamZ2gEhkYAjUDQrEtadSeHplqSmTbMTcWsnRmzaW2PhGV+9y9r3Pf0OnbNwUwjZe+GpFWPadRDmo0h9XqDQEmUTDU4Tg5EkcdoKBiOE3pjRX9k6A2Na5lr+pw6P8WLrh7zz95ynt/5uObESoAQBmsjTGKJYo8wkozGroy1NdQ0az6Neo1G0KAWRLTqITddEeJ7EbdcEfP2Vw7QKk6TQCavty9A7lYYYyRCSAJPAT6jsWZxWbu6nSSLedJ7LIsYKE7vicwBHaVBf5yW8SbGPU+SVPcb53LFieXBBx+V1wzVu5ZXhl8Lw9EzfxvY/B8G+Ne++immplX92NFDbzp+5JCYavnOh44tiTEO3NKSpJF6IoUDt3KRujbpY+J6H+Msok/SqD6L7I0oXhtBaCSxlSRGE5mAJLW9yrc8SylAC+EylQpqdUtNW2oqIfAg0FDzLfVAUPcljbqkUdMO4E3BdMsw246Zmx6zbrbPpnWLvPsOw4fuXM/WacWalqHdVLQaimYDGvWEVj3i7KLh8NmAmu8uaMgq/QSjULNzg2HDmhHdkc9wZFMWl6z0NK16jVZjmre/8gJHzp7jjz+zGS01FkNiEmJjiWLNOFQMQ1cUNahJGiNNPfCoBwmdnosxfC9xCTMvQUvXKCFlktf9CJHWrbgjloJc0DFplaVxcU2SSAdGU8Q7jpWzAD97Xn7MAF0AOwtki9fu+XAEDz78uNixo/umrdu2H/7wn398+ENve/O3F+Cb1xu/2zv9S6P+2V/SYiRbDck4BBXZ9AukmUSTMrmyqMSxuU4ssQGdkF7RafLB2PS1zd8rnheVcs7LFXmgVNbcQCWo1dKgJWlNC3hK4GnrfGMtqAWSmi+pB4p6TdGqS1oNy1QzYboVM9ses2ZmwLb1izx0YMxH7t7ETC1gfcvQbggH7rqkWTM0azGtxpiH9sOT+xpcvtamurdImw/HiluutFyxbcjDz0wzGFuGo4T+UKcg92jU6tRr0/zAS5Z48sAFHty7AazCmMSVw8aWOLJ5PclwrGmMLPWaouYbAt8j8BMCbdA6wdOuxFgp1zDiHC0LwiIo9FwRnLtA0GSOlMns15IVmwE7Z+bsNQWoTQb0IoOakViSeu5R7KoSB6O+TDj970ZJ3a/VW78BhN82gFvbl1E4/LVHv/an/3LYO+0HfoCxGbichxonFhU7QCcqrQdJ+wgTZdGmKmFMvnRl2UccO6cgN2kmLktWWGspZd4rK25RcpvJojRjqSgVbbnsX+AraoGiHggadUGrbmk3EqaaMdOtMXNTQzatXebB/UN+7f3rOXFqmsvWGKYb0K4rmnVFswbNWkK9FuF7Izoji5IKT1mkLD6ZO+GSKPZp1yMGsWGQ1lkPRgm9gaRTVzR6AbWgxY4NEb/+Yx1+9QOSB/aux6Iw1pAkhjiJCWNDGClGoWIYSOpjRc2XBL4l8BWBNnie8/u1sg7gygFcZW2BwlYbdNPUvk1JxKaaOUkBn2loB3JS0KfnLgN4+jx7PwN0nCbgCs/d5CUBcQKHjpz2Y1q/8C//6Xd7C0vDf7tmtv43Tuf/jQF+4kyHE2ei3zh24O7/feX8yZpS7kQmnsXi2ErGDlSJFCkrWxIlMEkmWdJMmspei1y7Z+B2Hi1Y41rYkrQEtHxnAuCp7E4DSydRlBQo5ewynbaieVoS+G4AUC1wIxnqgaVZM7QaCe1GxFQrZLY9ZNPaFR7cN+BX37eG/Sdm2T7rHJZWXdJsSMfedUujltCoRURJyAe/1EIqhSctShQ2obHZEu7xw69e5ouPhvTCgEEK8P5Q0esrOoGm5gcEXpsrt8b8xx9f5FfeJ7j/mfUYK0mMS6tHsSs0G4eGcc2VuwaBoOYJAt9lNn1t84ytVgapXDyUuVs5wIuUJ5CSCC6X4NyWNDjMAJxOHTB5co2U3clX3Hx1Lj1meHClAe4x60KSSnH4yLHaQw995f940/d+l7B25ZeF+Jt5439jgC9eOIo19gVPPfl0fSowIFyHt6cdozr2dKCKE2cPJlKQ5OnhDNzkYDclhnbPKQWrwtVRZKDODvzE58oAntVgZJm8jL21zupOJJ4nXf2GL6gFbuZJI0ho1h24282Q6faQtdMdHto34NfeO8uzx9ewZUYw1yxJk5qmWXP1K/VaTD0I8bwxpxdn8JRIa91TfUu6GiWSOFZsnLHEcUQ3qqWdMobhKKE3ktQHiprv4Xs1PD3Fni0x//GfzPOv/wQefG4diZEO4IklipOUyQ3jwFALJSNf5RLM88DTqXOlpMsFyCLxJtLHi2DcyRXSpBAiTw6ZNDmUZYuTpPS+KSRnAWybr8RJ4uKz2JQL4wzGOJcNG/HUk0/Ur9lzxQuEFN8Mjn+7AD/83B2sWdNrfP7z9/q+6GOscoBWNv8HZep9x4kDWaIoljDpmDrR5GCvAjuTITYHus3kSPb8Ep9NiqKISkqQUuTgVlKmjRKZPIGaB4FvqNcs9cDp50Y9ot0ImW4OWTPT4dGDI37lPTM8fXwtm6YVa5uGqbqgVZM0aopGXVCvuYvDpfpDHtwr6I98aor0InOrWtaEkBhBFGuaNcVt1/R46Nk2g8jJlOE4YTBU9AJF4Ct8z0/18zRXbTX81k9e4Bf/CO7fu47ISCJj0mbpogdz7EsC3zj29oo6eq2yO6lMKWScTLO8FwN5lhSyGcBTwCe588JFV16TxlLGFKt2sYIXNTBJGo+ZVIxoLTl2osv7P/RX/u0vfm3j/R/+3OAf/9A/+J8P8HCwD6++efrwM5/5w3a9+5IkDHEOb5EKdi1nNm03S4t5jCCR6UHQ2ZIGRomLs3YJ0CYHdtEUTKq985MhXEGRkKU+zhTcDuCu7c3Tjsl8D9cJ5KcFVkFCPZUXrfqYqdaQmVaXJw6N+ZX3zPDksXVsmNasbRim6tCsCZp1RaOuaOTsnVALYlqNEfc86bPSqTEzU6TJM8CYVJtGiWLdnOKVz+tzzyPGddGEpgRySc2T1DyNp320riOl4aqtlt/8yQv84h9Z7t+/jshoorQC0BW0OSYPIplXF/paonVahCUFSmfHhvzzZRdhJlVEVpVGkRCavJvSozGlx5JNnK/Wtlip8/Jl49g7Y/jEFHHVSi8iPjd4yf7DR//kx/7xW37mwaePr7zguu3/cwHeXT6H7C794rB76AelOU+jVicxJi2oL7GBcYkVJUWe5HFyJHVCFPlV7yY0ZTKEnL0rgeQkc6dIzzJyufaWWQVdobuzikGtcPUZ2uJ5rrG45htqfkK9FtOoRTRrY1qNEbNTHR47MOaX/mgNTxxZz7ppj3WNhKmGTcGdsndNUg8c+9eCmEYQEpsxvTBAKImXMXiuwUXKbmnKOvJo+iNXLhDWmMlAPkoY+I7BA1+6mnidbUBruXaH5Z0/c56f/wPD/fvWExnNOBGEiUlZXFCLDIFn8T3Xu6rTuEMrVyLs2gDJyyhE9lgqzMovzHKsMwHunIRKxFQGdxFXpatzxuqWIg7Lfl4yFYwRnDuxQOIf+8GHHnz88DiM/vX/VAafv3CG5tTG7c889O7rli8sIYTG95I0qHA2krIUroiERNpck2UfPl/G0i9h8mW7fMBEiSmKrKQtr5kZa5eDyuwCS2tcVBpMaZ12BqVFSFn1YM1LUt0cUa+NmWkPmGr2eHBvzC+/ew2PH1nP2inN2nrCVM3SSsFdrzk7MQN3PUio+THtZsjeY5a7H2viS4mnTBrEFToyW76jRBEbzctuirj8sj6HT9RZ26DocxwnDEYpC2uF1kUbnxCWa7bDb/3UAv/6jwxfe3Yto6jukmGxpZHWcAceDuQ6W71MKlEkUiX5CqekKAFclEDOKr1SgNxWAZ5XKBYr78VW5nJ9fo4LU6pTL7lmvqdYOX+ahx54+Lpf/aWf3H7ixMnj27Zt/dsHeDQ6jg5qO+ZP3/tf4nDpDUk8RGuJdFv3oTIXxKZd8OkybGRq/9ly+erqJS3zh23uaU+4JKvckpS5J8EtLFIV2VKXVEpZW1t8bfA8Q+AZAj+m5sfUgpBGbczs1IDl3oB7n4Hf+vAGnjq0hjUpuKfrllZd0KyJ3Ct3zotx7O07gNeDMWGSMBrWqCl3kUkhKpV8WSLFBZraaXk9ZhxahpEoAdzg+wm+p/E8iVYq71XNspDX7xT81s8s85//POb+fXOc6bQZNSXTiaUVW2rpxIHAs6n3nzkpNmfvTKqIvCBO5HEMpc8tSsffpiclW1ULcFclpavmJM9dZBeAA/KEY5aD2xYa3gq6/SFnLiy/4S8//2By263P+z+ePnT22HWXb/zbBbiIDoKt3yrGj71JRU/SajTTq04g05ki0gissbl9pGSWJBD5f5tF2Q7UIl3asoRNVYqsZu2qKsxOghv3QFGOm4E7Hw7kymI9bdIxE0kO7sBPwT3bZ355yG9+sMFnHljLQn+GtVOStbUU3DWnuxtpYFkPJI3ApgzutHctCIGQu57wWY585gIq9diI6gqVJK75oR1oXnHjgAf3h/SigKm8Y93gj12tuq8dwLWyKOkhpEvQYGHPVsnv/PMun3twyG+8dz2nFmYYTmumfUErNjRiCCI3etlXbqCRlwWaUuRBcPZYDtTLF6YQea9IweJMSMgysEvxUyW2KgehqwBdArvJ5JzizvsPkTQ2vimUrQ/2+sNjf6sMvrDcJ6o3rnhu7xf/Re/MQ6xtGzqDOK3eE8hMnqRgVqVGgyTtpnHsLHLNnT/mEsRWpEmFtcuyJD3QGbMUYybcc5UBXFm0dMDWyoHb0wm+l+B7MTU/IvAjWvUhWg+458mEP/nrNnfct47QtFnXFqypOVniLMDMJ1fpXaTMXWbvCK3HfP25aQahZmMj+zyTDF4cmyhW1DzFC64aEhsH8GEkXNd61rk+Ni441CJlcXchizS5bhGsmRb84Mv7tIIzvPevh9z73BznojqDmqQdW5raOpDrNA5RNo1L0uI3mR1DUdSOS+eGZce6vKNg+ZTYbEQFVV1ejqPKwLYZe5dX8cqKLnLAJ2n57iDyeO7Ao/zwP9zyL17+mlc9/hOme1DIb94g8U0Bvjh/kicf+ypBbWbTqHfwpfWkg6WNVsYBzEhUzs6i+mhKDknpZxU5kmltCq1dALtkPZTtK2EnpEmWlcsCW/LJVxlze8rVYgRehO9H1LyQRmOE7w/48J2ad/zpOg7Pz+IFNTa0BLNBQjuwNANoph329cBlO2tpQsjVryTpSuDkyUI3oR/6+ErhS5sHmJS+SnZhZ7UbYexR90ZsmB6yMmgxjEQ6bs3FCp6XpDafSu1O5QBeCVxd5eMbXtznlqvn+a0/G/GhL6xlKW4yCDyanqStXQ1OoMFX5M0QOkv6pCufzKVKkQAqk0pVrEyyebECV8Fe1uYToJ4suyj9LMuI+lpy9lyXxx4//NI6waaF5ZWDR46e4LKd2/7HAG5twvOff/uO86f3vfvw2SPo5izj0LGmSueYFGAWBVNPgt1m2bAC5NYWAaalDO5SqWvpJrAFm6TZN1kGuLQo6T5TwdxJCvIYXztJEvhjAm/IsfMxf/y5Jp/62hxHzs/QbnjM1mAmSGgFNk29Z+CWKbhlnhSqpdo78N2F026O+eTXNQeP16mlE7jydjEKlOdjHKzT4VGs2bMdvueWHn/y+Tn6DU07nT0ShGncoAxay3TCFyWQe6WT5VaFbWskv/yPBly38xR/dMcsR85NsRTXGXiaphI0UqD70roLJ3WZ8tVPFF1XQqSbwmR9nQKysqwKk2crbVY6kfvmqy1FW2btSVCXJUwJH3XPoG3A3fce4Porr333C55/+3cvr3S/qVT5hgAfjhJqgeTE0ce3rCw8t0uLJYRQQJzWJ6esKydAmwabNgN4Cu68tiEFup1g74wFClbIaNtWdGAG7GwSlpQZwE3qmmTsneDp2HXu6JggGOPrMb0k5F0f83nv5zZwenEao+rMTilmfcuUb2ikzN3I0/cyrVNJpUnqnefg9l32chyFHDwV0A8DZoLUxcmSTpkrkWVhbakmJdK0m5qdW0JUMKIXthj6gnrkCpD8VF55qUTRmesh1CWCV8XaqQE//YYBb3rZOd77uS5//Ik5FoZNhrpGTSsaWlBXrv7eT7t9lBRpdpN0NbQXZ3KqciUH98XYfBXAC9CaVWwu8ovClC4QbGb1Kk6dXeH+R/buqtVqW178wpuOWRMhpMelbt+YweOTGNlc26qbjx1bfNhrNS2+F6N1ghQGkQZ9k9Vn7tGU3iMHe5nBSX9WMLbAXvSD2JIdaEsj3srsnVbJqcQBXCdoleB7ETU/xPdCOqOQrz8l+fCdbT7xtTlGSQvf95nzBdO+oelbGoGl4RfgrgWSIJAEqTRxiaHUmUgB7nsu83n0rOXeRxuEkUfQtKsCzOxWpLNdKWoYKTxP88pbenzky332n2oyrLnRDGPP4sfgRQYvNCglnW8t3UDSfLgPBXgSI4mNpBFo1k8P+fkfGHDVtjEfurPFI3unmB82GSkfz9PUtKAuIcgGLGX2qrTp0FNKIK/WrEwWZ5UZPSOo3BGjyuJmAvDVewH07KZSpFvt8YW7n/Be9KKbP3ZmfuV5nU5v/m/M4GGyRYYrj95qe5+a2jC3gLU6lQBpsXyJOfIDbLJeSFkBsykzdvY8A3YqUcoMXin8cT06jsnzlLLJyz2d7rZolTiAqySXI1pHdPoR9z0jeP/n29z52BRLnRayXqNVV0x7lrZvaHiWhm+p+6Ss7Zi7HkhqvqLmC2o+aYWeScFtCDynv5Uec+AUnO7UXGIl1bfVxElRP+P6INNSUiMJQ836tuCKrUOePhEziDzG6YxvP8SBT2WTdbNEDciJzpzCpUrlT+Lqw9/6yiGvef4yX3m8xwe+0OaRvW0Wew060qfva3wl8KUgkLgeTul2qVOiuEiVSMt+L8Lgq+pXJpk8A/MEO+cFXCWAJyWAZ/+eEq6zfxDDuV7Cb3/gK1P/4u2vuPU1t135eb7B8KBvCHCRHAqMMX/Q75xsNmpjEGEpcUsp1igkSQbcQounYM8uBJPp0BLAmZAk+QcoS5NiMGexw4PJLzglEzcQP3MzZMR8L+aeRzV/fV+Lz9w7xYVuE1Gr4bU82hqmPNfJU/dIZQfUfZHeZVpymupuXxBk7J0BXMf4fkzND7E24q7HAo6frbNmVuBJk+pYUTT6ltguLz9NJcVw7LF9veCVNw741AMh/chjGAlqnutX9WMYR7a0Sqncr0bIikzJ5qvnjQrG+e31YMxbXz7ku25Z5NNf6/G5+xrc81SLC50GQ+Ez9DXaU2ghXAuhlHjCplLLohAlaVi1Dye+XvpZiosue7SsZuzEChLSJGAG8Ay1tvgbwuX2MEax9+DZZpLYP3h8/5mrgOHfCODt4C6s7lKbO4ZJtOulS1malLXJgZqC3IqqXDHFz4tgUuRgdkAv2STpISovg6IEbCFMagcaRApwrRN8HVGrRYzGCftPw7Ezio9+aYrPP9LmwnITvBq67dFQkpZnaWlD3bPUPah5Dtw1z80kdGWmsnQX6c9tCnKTg9z3XHva4TOGp48G4HnpMm9LKXpRQUF5uU7ybhc3zvnanWOu3tJn3+kGw5qgEQuCyDJWpNaeSdk7c1MyC7LQKrnPntm0RqXTBzxGoUe9PuZHXzvm9bet8MVH+/zFlxscO1Nj3+kG4UpAHGhGWiNVOtUX0OljxuS5dKEI/lcxedlNyYBNKkHIwJ0md/L/zqXzi6U94/GSvoktJ5c7fPwLTzA9/Y13j7gkwA8dPSb2nu7/i6/c+441diS4+fIxN+2OEVKitMDEijDMutdllTkq7zmBUaTbiwugfCDKh0aI4lFk3SYZawuT7vKQEARukmqcJJxbhC99VXP4VJ27H6pzernO4TNNCAJUQ1PTiqa2NLVxLoLnBufXPDeuzYE4u8v0rlKAk2ruFNxeQuA59nYXVsjRedh7rIEnq/ZgLlEo6sFzLZonwdK+xtjj6u1Drlg34JkjMYPYoxUJxhr82M0EVCWASykQUlaYPGPKwoITeTCb9VFGicfY82nXQ3741WNefF2X08td7nrY58jJgC8+1uDMYo1k6GGkJvIVQkq3UqRd+ZI04wm5bMkIadJZySFqS1lqitR+AeRST23eBG0gcqAWOkaqmOdfOeKWy4dsX3vXmh//4X/1L/79zx1+Z3tq10XDt0sC/COf+jphHP/guz9Ra3Z7W9i5ccC1O4a89KYRV++M2DgTcvkOg7KCJErnkKTLoWPlKps7QBcSpjgK5cAyS+TYCeYuSRGV4AUJUWI5clLw9BHFlx5q8MxRn+eO1umOA8ZhAJ6PansEStBQ0NCGeskHDnRWp5GVzbq68CCVJb6v8H2ZXgC20N5e4jKLntP5NT/CmpDzS5KxDdBa4kuLLtlsEwSegzxbDbN+xzD2EGjWzoZINaIfeQy0cE5HVBSMaWUqGUiZmdQA2bAjBNbIgslLg5G8ROXjJwZjnw0zIdvWR9x02ZhhOOQfH+3wzDGfLz1Y4+mjNY6cqBHFCgKFlQqEJJGlbFBO35fQKmLii08ys00KgJsM5A7YmoRdO0M2z8Ts2TnmZTeFXLPDsG2toD9aaA4WHvrBAfqd/10M/q4//QLzS131pYcOiOVhnX7s8eTROk8fHvHFh8ZMeRHbNodcu2fMa24e8/IbQ7AJnoZ605Ltr4MRxJGbU5IFkg7cWQ6uejBc4Orml3jaul3VpCUKLYORY/RjpyR/fmfAIFI88VyNQycDFvo+48QH7YPyUG2FLwV1BQ1lqSncODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMve0wffiNCMaUa+FXFhO+NL9LTq9gJkpgU69+Kzoa/K85+falAJCIxmPFWvmFK+5bcQXHxlyotNk6EknUzR4scWLMs869dhl4uxCyrNOZP43jNWlv+GA7ieKRCtiz419iCLPWaleRNOPePG1MS+4aswbXzriwEnJk3s9hqHiQ19qcPScB0IyGGqSUGXlm1idAXzCMsoAPglsC2AQsUUYi02Zu950CTmB4RU3jnn1zWOuuTJk++aEtpLMNRWx8RiNa3gyIIqeErX2LerC8c/E67a/4VsDuBCwdrb1rk5ndH1dGahpBonEJJr5oc98L+LoUsz9z8Z8/Msxa2YirLHcuDvkra8aucaGxLJ2ynDDtSHNWrriWJEvYavPuciH83QGgief0ix2JfWa5KG9Hp/9Wo1RpBhFirPnfIzQRNbDCA+0RgQaLSW+EtSkpZYCO1CWQFlXA65Tz1cXzO1nfZk5uFXaoyly9vY9g+9nBVpJzt6+H6FUyFcfV3zqgRbK185uq+jvSzN45oUnSeZ4KEYjj9ffPuQzX+/yobum6Mc1mqkO9zIdHmVJGZt3Cwkhc4C5PyVLWr8EcOOYPNaOyT2tiLVGx4kDukpQyg3Sn6nF3H5lzG1XRlgx5s0vHzCK3Di3v/pawMN7feqBYKGrePIZn+5ApipJXPQMF4zt0vjNmuGG54WsmU5cyWxieeurRtxwRYQ1sHbGMjNlUSgsHnHk0Ru60X1h7BNFEtTgeqGm32UtP/0tMfjJsx22bGi3/+C9n7pyzg9V3zf4iUAgGeBjhALrYUzM2MSc6yScW3EzSQ6csHz2q0472cQyNZNw63UhrbqrCb5oerJ8maeuw0pf8cjTPt2OQmrpZqJY7ZhJaNxcYA1SI6XEk8KBWVoCafClA4KvwFfFjD4HclE0PGiXAs4aj8vgdgyfltV6GYMnpXtMoCOsDTm94BOOawRTEj9Ne6u0Kq+SxRT5+a1YqHl3ulGEkcdMS7F1TYgvRgzjgGEsqGs3BDOrIckSWkqWy1tl/rfc30itWmOK7KkxeXlzJo3iOEnzBird/ygmihNU5HIJWiVIGbNljUlXDMNV20aEdojUhk5H8MjTmpWBROWKpRpUl8kc6wLJZs3ygusjpqYNNnHytS7dNuXWKtd3GhczWBKj02BZM458RiPNIAyUrcdX7rrmTW1rl7tCzHxjgPe7ixwZdd75zN6jLx/0ezR8hQ1dYYwQgqHRxCYFmE17kqwDeIylk+knaekuW85+teyMXgzgZf2WnhwhMNnQQtKaU6GKIEfK1MrKQJ2mnSXpxq2Zb1x61GknvSLdeo8c3K6tS+Gn4PY1eYmpY/CUxbXBT7OjnhcRBBEnFwx/9sUmaB9PiiLAzOWJWMXgZX84KzF2YHODdcLI4+2vGfLpe4Y8d75FP/FoxG5TWlcFWAxQEirLCZSDvax0MZNCslTgld1NXgujtcJL3LwULwW6kkXSzNWNp8+FSQcHJWhhETZhTcPwD15kQCRFfkRk+2fY1ec7h4TAGo2JC+kax5LIFDGdsVkcoUgSnU7OcoNXw9hnNBrRWTr88uXFE++0Nv7Zb8rg933tKygp/c7S2dzD1dISKPJm4rEQREa7UsgM6LYcCRd6K/HKwJ5IT1E680KQmU7l4EVImbegKQGecGnlQLhqQU+611qS1lSk3eNZIZGmNAeFdGe2oqu+ALjMZUvg27ylzfdNaXBOjJeyt68jpAw5fk4w360htCaQVORJnp4vWWgVR6FUeFYEgoow9phrj9m+Yci+c2OGiWaUQJAIvMTixakOj8mdpeIwqkqnQmZSOKBkDQaiJI0MOjEkSqJ0tn25SovVknS/pOIupEGlIBfZ38ZMWLk2B3rmgBUXd17s7B5z84GqKYHLqySpn++C8WKyVm5mWMHJUwucuPAVt3vvNwP4wcMnEELQ6Y2J09oAIUAL8KVFIvCEJRaCyApiK0iQqZlvcwuo5P9dBNhljLvNXsmW8tyCyjxX97c9YfHSiy2r8cie5++lZF+UgpI32PpKOLBXwC3do58BPQs+U3Bn3T/a5BLF006f+n5ETMTnvl7n/Hwdb0rhl2s4yg4KE4q0pMHLlZdZ0mc0dhNsX/fCPl9/akQ3rjHQmnpsCNN0uiqNoc4KzoQwFJ1DWaApclvSWYfpTBULiXJ/UxtBrAQ6kekudq6WJ06BXiTTTJ5gk9KUEm+mkoQrrN2SR3YJSV5ksCctZVGqZUodOuuOj0nSbR+FxdMGzICVxZPVC+liAJ8/9ec06vUX3XXv12+59+kRiwNFoNOQRVg8KZC4jJaRhsQK4nKqlXRuSf5hvwGus3uWLBCgskfhuvMzq02lKWM336TQuCoDtnT7yWejEMrAzuegKFw/4sUAngWcme7WmSyxqd6u1pL7XoTvhZzrGB47VAfto1N5oksFSlm2T0wg3B2fUtVd3pcqc088ijxuvHzM3PSQznKDQaxoKPBi911UYt09KgMcB/L8D8mJSk2R9k26+n2jDIkReEaQKEmiDIkSxCnIy8VrWTmEzECegbo0IUvgWL0oac55enXtSon/7EWShpZyUZ5MgS7S3Trcv6SVYaYd0RkNefS56Vuuu/GlL/pvH/7MfT/7Q4WbUgH4lx8N8H31D774gLzh2ZMxnvDQMhsYD8KmY9AsJOAOFmnXBtVag+zzX0p1lwHudhemwtz5HPESyDPG0lltRFoDnpV6uoqzrFPFyRKVd68UwM6abx17p5pbk+vtzBJ0jF2A28urEyMEEXd8LeDrz7SQgcaXws3fzisIiza6ouJvMpspSidOFMuwUQxHHrddM+R7Xtzjj+9oESYB/URSSyzjmHTlKlf9mVTOmYkL6lJMDkbLvNMqA3eiJEoZx+hSpqMlTKkUuVwDZAuQX4TBC9lUQsEky+YZbXd8cqBnEo5qLiUDPbjaf9+P2b5hmdfdNnfDpm29f2CS8L6LMng8OoIKmq/5yKe//I/ufHBEHNZpNwvAgTuYWTpVWffZ8mKaEisVH3hiaUr9wUrpa5axpABDngIuD8uXGbsXy7NS2WtSBidvw6qweNoN46kquN04hQnmTns2/bS9zdNZw0FcukeERPzFXW0SG6Dy7GU5wCz6GjNno6LBmWjXM9KN0kiyYFMj8HjrKwZ88HNjVkzEMKkxTAReTM7iUlpknM1fN6ldOKlFZcmaLNWCGEGi0zEOKgW5tijj5IqbI+kqGF32WOalyYVFWa7uLMqY86aUEtAvvZ6XwZ0+n1x5yoV6FKQRRopWvckOtcDZlcE/Wrf1e+9+8sDpLz5v9+YqwA+ctEy1zOXPHhzvGnZ7rG/XXMKi7ABU0q6lUtkU0ZeUJemZzdO5GdBL8iQH+kR5Zq7FJzRnMYa5mO2hlCi0eFpxVxl2kwJbK1E4Kbkd6DruXWOyTZm7CDB1ib0DL+SxQ5KDZ2pY5aGkxJcGPVmnURLgky5KUV5RtPcVfrUDeRR77NoUcfVlfR44UCdSPsNYUJPgJRYdi1S+pV04carDkU4uVP6kKLG4KEmjov8xmwmplUnBnbazKVsCd1YLZNMygYzJyVcPUQI3IpuYdQmZMvEZXRyXJQMzv0JUZC82i9lseqw0cdJn6/rOrg1re5cn0fCLqxh8ebFDNA4RUcS6hkBpk0uNSiNCLj9s/rpSGllB9eqPn/2kbJ5UgF4Ct8prvgvbrZAswnXPiwLcLsgUebe4zsEtKwAvD/9x3fbkwM6zlTlzJ/jaJXZcV1CEJeLjdzVYXKwjAu189/JFOFmDMnGhl7V3mVUr3rRRRJFmzazkLa/s8dihNuOkxkD51BOnxbNyViVJwZ2tFSb1xFNXK2VxJljRpNMOylOp3N21IeY7TRubJ5bctuqpBs/layZNZNEcMcngE8M9RcZyEy55GcRlXOWAzwBewuLICsahgrqiudIhiYviwhzg9979OTytWD6/xNppxTBMpw9ZcRFwM/HHi/erNFUl8exJob0nHsuALrN4ZbxYwdiyzOBKlFg8kyuuMKwMcF+nA4C8bOvANMOpLV6eijfp86Ry18p17jx3HD52Z4ux9FFSpdnL6oU4mcFcfbkXx7Sqw1MtnijiRBMkmre8esT7Pz/gqSN1IuUxkBI/Mal7JJCJLR0n69rLRJlusu6r6r5FZSZPjJvVbjIWT7KxEsZJobxvM5vLIvILOp7Q44ISi4vq6yrAL8LiEyXTZaky+d8U0wkU3UHAoSeOMXrkk4iSRNMAJ0+dZcvmDY2f/w/v2nnw9BmsTTUvRQA5eSWVz9Q3UlbZdVr9ckWJZVl7X1qiiBw4k+OQZYmxsyAzm9qkdbbJa6q91QS4s/S9lzUmGzczJG8Ry3o64/QeobyQg6c1vdAHpVN5YifKYycv3CrCqwONJrzwtBunSPxomp7gys0jnjoYkpiAofGpJa5mW6caXAk3Y9slljK2NGRBZsHkRaVn1v+o88Gm7j1lIJEO8CrdnUKaYkJANl0rybr7cwOgCC7zwDMntaoWX1WfcxEGsKUf5LVZgkp7Y0YKSsDW9Sus2zCz86YX/3zjbW/78cHc2vUO4IPuWc6dXnn1dbvW/uJDDzyNFDJ3TmSZrS0gyvMBqSSmJj9gBdQl9i5A7vI5ZSAUwC76GFWJFVVlqGYGcooaaVUCdf48TfIoUi/cgdsBuBgK5JXlSZm9VdrX6Ycs9Qz/v79ssTisIQLPyRNpK6tKMTjnm2jOTK6k44ht2U1JU/dxrGk3ND/3fT2+8libxbFPKDVDKfHTHspi5EPK4FkzYaqLszJai0nBbSolzFmbmE6nTWVBegZ2JUXK4E4SJbmLQi5TCh1etBMWMiULPHO4Vo/NJT3y1ccr/e2KerCA7xusNQyT7b/4xFMH7zPJ4NM5gz/w+JM0Gx5P7jvOcj9htiWrwSUTkiR/45vcyoAuv55gt0KDiwLkclKiVAfT5MCWAqmK8WOqBGotJTqVJDoHeKa5TR5Uetrk4PZ0Vn9RZW9PRfh+yEfv8nj2cB2kh5SSICuNLVmbufOUfslLVhNSsHneXV6SKbGR6SZPHtfuGvCGF3d5/+drGB0wlD6BFHnSR0lBVAroJplclJm81GJYaStUoKxbFdx8G/LZjqq0/Yw7B8UsmmIyrevjFLIK8MwRKxMbFcB/i7dyLAi5FhfCprFWn3DwDKNohLBjcoAfOKWp1zzOLLoKtMxHzoBpq3+jorkv9QHzDvL8QikNTkjBwMRswfLynrV75WyeM+Q3A7gsAJ4nejKAWzcnO5UinircEq80HKjQ3I69Pe2mVi13DH/11RYLnQBqqXsiSsHYJSRK9j2rB/EStl1mGRqJSTI3RTPTVvzDlw/4zNdHLPYDQqUZJjK1J7NdpEXRjC0LtsyA7cqY3VsmZ/Oi+VdnzopKn6fTgE06/jo77mWQCylK3ffZEM9Ud+d6vMrmpKtMlQAn0FSKXWwpHq3MFM6fuh/6SrJtk2R6jSCJ3T+gDx06xNo1Mzu+eu8j/2zfk4tsntUoNQHbS+jsi1ndOa7LwdXFmBtRYfAKe1cOVpo4qQC7Ovu73OHihrtTBXe2s0HG3KrE3KsYPBs3UYyc0MplLo8eExw4XsMQIKTOm3OL6sFy/CBKrkZxQMq1KDnIESV5InInI283SzRYzZ7tIbs2jljcV8cmvmPxxMkUXXJxiuCuXOiVCu6sjBbSGiJRCj7BSJFbh+XYRhl30RhJqr2z81KQUQ5uI3LWLsCdtdbZvJygkCl2NQlkP1uFvVzkVH4WxTAYtbnwTMT23Zv+2bZdNz9x7NirjmljDINhuMFT9jUmXGamrYlim3uktnRW7Oq/U0H7KsdgUnOLMshFnkCqDK2vyBNRciZEKdgsAO0YnHQUcNkHL9/TLa1VGdwlkKf71XtpaWjG3ip9rXWEUhGfe6DFwYU6+IU88UrWZeWCZfW4iFUEkbNntdDIlHc3y8poQ81la0Jed9uAh59rgPGIE6fFvSTN7iZVqZQDixIFpoGnaxcrN4anz2X6XKariszu7tgnsti1OlHpmGwhCi2eSqPsPLrjkLXUTXbl28rqXpUs5RCzdMwElG3CLNB0w/Q1C0s91m0zrzHxaINJkmM6jAxhnDCOXM1wzXfp3jguTQmduJJWnTNRBXiJsFg1v3uVuyByD3wyQMsALS4C7JzNlSg14ZbAnc4nLLbtYDWwdTEgKB/xpk0K8tjJExVRb4Q8sF/x6a82GY58aGi0dEVnZWky+fnLK9ZFAZ6DvNxpPpHwSUEexZqpluaNLxvx+a8PeGi/j216DJMAX5BfaCr/+wV7ltbVHOS2AqViho1Vjs0T6fS4KbF2FtSbNLiURpT0tygFuilJGZEnerJVTIhsBEi2itsqXqr/NxGIZrmXEsDTYxbFgnHkGi4C353r2LNoJRMkCYFnaTV1vqehVRaMs48m3ZL879vig64CdvYlvkV5Ii/yPJciogC1VKXdG5RIa1MKcBcgz8pmLVoXI5R1ugmTVlWgezlbu7tSLsD0/ZAoTPj8/Q2eO9EAz0NIlYIqnRtSCi6FnLiQyytYCdlF2jklkcnZjuUy0dQuDEPNVdtiXvvCPk8eqzOOfRLpMTQKP2His5TAw2qQ24nPgsrAYjBKoLLUuBRYBdIWejxfUSVIU5plaIpVQ07GI5PkluOj5PhMYGjV8/wji/yzuwSZ26YwjATdvqTTS+gPYgaDGH3q0GfQWjLuDNm4xuPkeYNN/wkp0n/sm/zB7EWZrcq6c5K1V4O8BPASoAsWL3YgKKRJySrMGTsDeDE5NZcoKXM7xrY5U+v8sXjupcGlVhGBH/LMccEXv95gMPSh6SFFVjlIyR68SBYzP4HVI2bzk2RTDWyrbko54VMqwAojj1Yr5LW3j/nMPSOePBKA9hkZiZ9qcWVAJZldl36GhFwekExkEFXBhFpRSBfp2DxbVbIg31gHdmmKRJswZTclPa/Ze7k8yXxyUcFDscqXi7MmSPIiOMv53IrK7yx1LZ/43IN4X34GaxL0J+87hVIwGBhWFiwiUflvu0h4AsyVyLf0unQiJ9Pw2ZeoSBPEKiDkciQPKicZ3OntcjZTqbTCMK0odO1c6XNdng8+Ae707mVTaNMCf61id9cRnhcR24Q77qtz7zN1qGmQrqHZK5XwVkpjy/fyi4vcKjO1ycpZyZuRE5vNNSmAPh55vPTaAa970YBnj9eIYw8rFEOh8RLyzySSgsWLj3BxJi8PsVcqY27H5u51OgNelt0sB3JTDjJTBs+HdpaMA4RNJUuVxYsMp6gAOyfSSrKoCmZKh9dTlulmwvW7e4ySHjEeAot+4rkGUkqGwxATDtg4Ywj89MosnbhsOSkzcpnVJ5m7eoUWrE3pebGki8oBEZPArkiVcpq+dFcT4Faluy42Qc0A7ZVAnTknzjFxj0pF+F7EE8ckH7urBfggPYRQeReRSjdSLWddy45QoSPFBMCYKFybnJme3hPXupelo7P0vbWat75iyJfuH/HIYTdJIDKKQSLSgq8UdIkt2HHVqus+i7XWsXgJ6NlPVQp6I9P9fLKgONPeMmVz4R7zc2iKgZ1F8F2YCtUU/mrQkwJ/EtQF0N3PsiA+K8arBQnrZgWNuofBByw68FJZ4FbLovOsdCVVlpkKaxdXXkVrTrD2KufkIrq7OAgiTRYU1lMG8HxOXhnkaWtasdmU29mhGIBfgLvC2qXHrLE2kypKxXheTJTE3P1QnacP1cHzQLrg0he2NDm2HFhNrEoVQFWhVXWnRMnVqM5Sz2YMGpU6KolmHHpcs2vES291LD5MHIuPhc/IgE4yPzytU8mCOUFJorgPUKkvKlmXSoJVFmndvks2HaYqrMAKkFYUUiWXlpTYOz2vpnThV3xxUQV1CfRFADrB6KWLoix7cvkjoD/0MCiUFmBBe2kLn1BFAJEDu2zPZX9MFmBdfWVVr8Yio1bWXaLkixbvuylN5T1iJupPBPneO/nuxVnzbaXhodi6RKkJcJeG4ufuiUpQugTwVKL4OuLgWcEHPt9iHHnQ8FJ5Qt6apsq7BGcXdkmCVfTKKn0yUbRWkinlzQGMvZgW1zQDyY+8dsAd9zbZf9pdfIlRDBLlqgyTNPmDcMBI0rEcEyuJzYBeAri0hRaXqUaXxmLTc2SlcAA3pVgpY3JTYKccc0kBwpRwUC7RwFZBPRGzlUFevtuSA5OVHMexa1AWRjnJ9eu/9TvrE/T/ve/A8T2NdMu56v4txW7BhVzIbLpCRmQ1Iqr035R38KrKjfLPZeqGpGOB0/HAOXAn7tnIhLLHnT/qQnc7B6UK7vJePUUxVbr7g47yZgZPhyQy5P2fbfDBL05DEICqoZSmoSx1ZdNxFOQNzl6pNa7IpJYTUZJiMiyVALWIJQrbMbtohSRt/C16IZW0CGvYuiHk9ILk0ad9YiFBKIxQCOFKaavEUiWgHDal1Tp/batOhbW2dDFQOD8woeFdUUC5BKE876cSb5jyexPzLCv5gezfJQ3I09rwiVUxA71SlnZ9xK7d12+4fM+LvqxPHT8+HQ863+3ZEbXAw/eyAp7MsSinzCeYe0KirAoWyvIjfUOW35t4nS91Zdau1IHbivaWORgKSaJK2lvlOz2UNqJSdkKSZJWCGXtHeDriwBnJR77SwM1fceydd+5nf19QGS9cNG9UA01RflFKmlXAYcq1IQUjucAzzWpaiUkUiUq1eKL5gVcO+NTdDfae8kCGWCEZJR4aUXExRJLCMxGIClRL0snaFDzOq84+m0xBJi1I62RLpruldX/DmtQfN2mAWslnVJl8kqFX24cThkQqTUy22luHmUxSg3D1voAQim4PVlbG3x0nZ6f1bD0inkrYulahtRvDq1SJmWWhLaHoUpm0+mA14FklTcqPk0mdqn6r1ICnyYTyPjKFBi+2Csx2VlMT4HYTWU366OxApQwq87tVjJIxKpUniYr57H1N9h4stLcU0nnfeQcNFz2BgsnXOTdWNHjxvNqAXPHESxOptBGuNkUWKfww0lx1+ZjXv6jP4Y8EhIkCoUmEZigEOkmtOrJAN3NURIWP8xDYZrpcoKzN0obOMrRpm2J2F7ZI8Qsw0gHfZDKl5IOXwV4Gc/k4rZa75QugDPhsRk9KMFmpr5EYY4liydJKHRN4tKck+vrdcKYtOXVcMxi5v1QO7iaBmEW9chWYJzV4GfyTX3B1IqASqFQAXrB29jpj7QzsGXPnQFdlJi90t8qCyGyLE2nQshiar1SC50UcOav4b59sM5Ie2QStoms+XUHKNdDlE1Wxky59qy7fRULNlJdrU9bgolKfkhhNnHgESczPvqnPX97d4PAZDSoCo4mEx1AIVFJyNMrB5gTIM2/eAjq74NL3pHXHPGNzaTNP3FTY3Ah3QRkp0gZ1MQHkKg7MRVh8VT7lYmBP/00j3JwXJd2mw9I4bM0vSfrCUm8Z9GNHEy6cjzm/FNNu+HmBTdXHzFhbVJmppOcmJzhVr7rS80qUXX1eBraYYO0skVIFtykkiqwyuK742ymYK3536S4di3s6pBsa/vgzbU5fCEDp1BqUqTyxFd87f36RAKhykX8joJelSt54UO7RzFL4Mr/nzRBSkcSazWvH/OQbevzWB3w6kQsIrJWMjXK2YVIUOpEICoVdgLz4f/cTlV6F1pIyt2P1jM2tdfUnOYNbd56si2nTIDBj8IutdhPkeLHA8pKMXlUAxmRE6OT1hrmY7ZcNaE156EFHM+4rZ5Zr0g7qgr0La68K2OxWBnDl6iv997mXnoGbi4C71NSQZcVUud64pLll6j8XgC4xuTYpo5tcmjg5YlZJFaXi/FGrCB1EfOKOgHd/vM3YeE6eCJXLk7ypeMISq+juXLqVYX1xiJcbRwqrsAz6LGVvMcbk2c3ypKfYaGo65qff3OfAcZ/3ftZpcVAkQjIyLuCUCTmDFwVY2ckqT0Mo7EoH7kKyWJuyuSgKxTIPWqRJKlM6Nrb0tzL3bFKblzH0jdgbJsljAuwynWmoLJ6SNGs1phsN9JVbNfM1j+68j5B6QpKIiX+4xNqrrj6x6kNd1BKauJqrHupEk3EJ3Crboru8ZaAquw6mJFUyEJeYXBbVgdXHOPW9I5aW4S+/0mB5nIHbAdyTTntrUZUnlc+arXolPOewLuG7rLVzqZL+oFLVN7n1opmoE5cSZRTGaOJEM+UnvOlVAz51X4PFngIZgVFEOD2eVRnmgKtcapdmcpcHKpJCWX1KFmzalMVzQGc63FYJrLgXvnwGdoQbKFWWt/m1VyKPSaavYDP9W2EsWOoq9AmP6Y6HVlrgeW6bPCFVURWYg7Yw3wtJUjXhL+pbXuJqu6g0uRiwRVWaVNhbrpYkxXtlcCcV1i6YO2Ptgr29RswdX63x0NN1TEl7u6aGTJ5U603y1qwSe1P6fpMnZ/UtZc/cPiskymQzRHnv0cRKlC188Tjx0CbmBdeGfM/zB/zZ53xQIQiJFYKx0Sgh3OQwShnEitlW0uQlHzxrfLGZDs9qZ2SpUEy6GS/l8+dGqxUyZRIDVcykYL8Ie1cJtdB7hTSuPgKMxxBFECegV7qG7sCVygaeqPxy5Z+a/IdX/fHqhy6DfHWXi0XKSZAXgKmyt80twnyj0hLApbLodMSYlKljIm2qqzNwJ4VjIk2xG5t07kngRRw+IfnAHS3O9Xy337V0KV4lKHZsKH/ei5y4iu98EfaevFUSPSVmnxx0k+8QXem6d/vnuEe3/cn6ZsKPfk+f+54OOHxegogAhUEyErK0iZQ7BxmocxuzfMGV+TzPZqbnoczmwj0XgryGvLwymyy4zYJxBEYWLJ5dbJWezQnJWxBq4T9d+vg6edhuSGZaCu1GnEE9gJo/UZNg+aa3yhU0qUUnrtJV8qSsuUtsPtnr52xLuxrk+YzsyedJPjQyY3EtS7pbJujUFvT9iHFi+MOPtrn3sbrrbZPaaW8pXdeOKOav5J81W1kmv+sEk5fPQ/lcrM5gFq5Fscd7uXy2XEbr2s1M5qgkhlhqVKx56U0hP/XWLr/2hz7jOD25RhKnrkpe8JQDpiirdR/MtaRR+nzutSjFBml3vQUrbRpgivwCsIKSTBEO5LYAsgtCy80P1RY2kUWpMAHsS7CFrSafMDFRYtz4iyu3R3RWIuwwoT92O6lNZpEuhfXy0lsBc371rQZ19XVZmhTsrXLJkskSUwoy7SoGVylzZxNQK8GlLGSJTmdc58GljPH8mLse8fjUvQ3GoQd1nWvvnL3l6qE+q0piS7KkDOhyTcXqk1JmclGSBkXxlVVZlWG1VjwxEmmcVMmAHseaeiPmTS8dcue9Q770iHK2IRKEJBKaIUXQL6zTvmW54nabqWpydy/Vpcj0c0pQ6ffLXmfSJAN6dn5tHmyWj1nB6qubkqsEeikUVkuN3SyfxZWQqZMxS6MYfbY7YnFlxIVexGw9oKIJs+Vy4oRUAJ6Dubjayqy+Sp5k4M2+jLSrg8p0w1dVkSlpkJnNxRMl7Z0D2ZSYuwT00jD3XHtLNyV2pW+5474G+8/WnDQRriRWZNpbUJogZVeBO1958pNTBvQ30Cf5CSKvcrMTxLJ6jHC5VryoUZFSIU2CNJporNm9IeJ7Xtznob0+nTBNvxqnx0MU2T4QVXCXNHj62bMZlPkFKZ3botKWtoLNM6mSJnxEWkOeA/0S4KZKeGXSrIB8NTdUWTvPBlvCGGamx6xZO2R6doR+5Lk6K8sjOvMe0ztdXW02SchF8faSAL8Ym09+6HwJ+lbYO5MoJWCXwSwEleBS5oPZM5DbCXCnOxOUHjNwezrGkPCnn6vz7k+2sEI737vC3hTau2INrgZ6lXFKIP8G7D05Kayqv21+DiZb2UyWtjcGk0iMdL64koYo8ZDK8NNvHHDojMe7P6WJ4gLkBsFYSJTJBkmk4C63tuWgTnUGbhEo3s50OAXQhQOyzH5NpFLFFp3+heVsK2Tg9mZarbcvtvKV3ScoB+SpmyME29f73HK5Zs0ahb5pl6LbUZzyBZ52UqCohXDNpuWr5FJapRyn5B96lQ4v2LkK8qo8KUbyljdbcnM3Jh0TmYFbTcqT6p71Kt17xmnwCM+POHRO8qm7m/T7HtTVavbOa75Lzo4oEjxlSTb5HL55kqdg8BLo83u1AMmYrN6jBHSZAV1ipNPiUmqiKKHVjHnjywZ8/mt1Dp1NkwpuQDWJEAwdvNxnNCm4bQF2m4M6dUtIkz/ZRZw7KVnq3rG3m/EuSvIklSppoJm7KlQDS2ELZ6cS103gzZaOW5EUI5177kjx0EnF9D6fdWt99GVbBYOuoZaMGUaueTPbfTeRbkBjuZ3qGwGcsm12iQBTll6Xi+ILa9Dm48BUicWziaZKucGPxWD2kv4ubbchS7JEytQxSZlc65hxZLjzwSZfebzuhoNLzwF8gr1zB0eISjAsKIrPKsvsRQLMb3bL2TxP3Zeq6Iyz4TKZYtOtSJzuNoVMMZJESFQiMUIRjTWvuiHkVS8YcvKvPcbG6fC0EooYzUiANKVtq4TIbRCbTl5V+TKUOSrptSLIgY8QBdmnAaQVaeApShhIJl6XwJ7FbGWv+1LLX7na0KTAThKbdtZblrsxmxcFKlDoLZs2r5y2nc97Qfy9vh/SH3qEkSQSIBLnT2YljMLYS56k1dmnEtizjB+pPUgxVkDmlmHGkMX86QLYGdCLstGycyLlar3tbMKk9DxGStepI/2Yex7xecf7pkisLpwTqRBCun2ARJGWrzJ4CeSSi7L3t5DErNDRqtJTW6TD8/Q92dSrtBhLFI5KrsmlTGuhNXFs8P2EX/qxLvtPae55WGJ8kULWfYHIKIaQJ+lIe0QdikWxk0H6RQovPF1ts8+brraZDhdpyt5QjJKQ6fkvAC6qWMmIUpSgfbEBnRmwyWarO3DHxhLF0BtYdF3SnGp+fuPm7SsqmJ3rP/LcwuEoVj+1YSohsbJk/6fLWPYVJztWKvrUVjpuHDhFYftl8qNcEViqgS4qA8sWYCmRUwoo84KqsmsiJ6RJyQMvEjqu1/LUkuAdH5jivsebblMe6aclsR5aCuoSAkm6yZVdXbtduaf18pX6+fIoC1cLLtVEw3RJ1xevRemir5YElIPwTL6JVO5VpF75ZxbWzMUE2vLQUz4rw1JtQRpmZlPEi4rDFGS2DPxv5WotXQgZFksrknstqjKsbI1m4GXyd1gdk2TvG5sOSbLEiUvsDEO4cY/HhpmzP3rhzFP79fN2KqwVeCrBWJc0SaR0A15KF5DI/oiY/DoUEqUULBRp2XKAWfWQKx54ZVuMqjSRk5o7Y/EysEs7geXZSpn53nH+PPETPvCZKT791Sa2pkAoh06hEVJW+i2L/sZv0DFfXmZLmbbJg1R+O0/wVIm8kClUT2p1fmEaZKbzA23K3NaaokZFSKRRJEIjhwlvevmQ5454vPM9mjCIC4ALgTUe4zQ5IrI61CTN1lDUh2dXgTVpdjNl97zNMWVtm7KxTVk7Y2zH7DZP4Vfqly4ibd1xK/eylo5dxU51HzeTJ1JaTpz1WO75JIlFHzg3JowEW+ZCrtoc0ekrZDIhOdLqdzHhpAhK/03+YScDzNLzCWDnAJ8YwVvZAyYDtMh876KrpQJqmZSAXgZ3gsxrThK+9HDA+/66yShJp+CLzBpMs5bCVrT3RVPzZaBDZUWbjD++GfvZNLjLdzeAEqgduCZLaK0sZTZlyVkRymlSmRZnSUNiNIFn+LHX9bn/SZ8vPe7swswbRwqM1YyNa0fLi60r4BY5sgrXRKBSyVEBedb0kLkqGcBTo2aVBrerewryY2dLZSJlhocc3Nn7mSnSHQl2z4zZtTVkNAatTc1t05YIrI3wvYRRpCpIzv6gpagAK11kRXBQ+YDFe2UbUFSAnbG6LTF4VYcrUezspVbp8IuweJm9ZVIEmDpiMIbf+JMpjpwOsLrYLbmivTOJVAH2BKC5CJjz8yAoP3wjQT6ZRKsu2+Xiq7IeX12bYmRacSjLLK4QiUEIjQwNl22O+Lc/3uH+XwjojdIvY2T+uRI0I5t+xqwDPXNXcMDGpKC25A6LSgNKKyna0ESmw21aIz4B9DJJVAJLMUGU+Z9fdfQuFg2GcYo345GEHklk0a96QRMpPcJxxPxShzCcJo4kUSwr3fU5mEXxZpmlVgN9NajLzC0m5EgG9KpEMaUkj8mZvAruzCkp+d7Z7ryp5611RJzA73+ixeP7as7zlhlzF86JJ6qyRIkqa4sy2CeYO/O6ykM3L8bXq5h8wjkpGiDKiQxXzLSq2lA4Bs+DTiMdyBOJEek9SaWKMdy4J+Lnvr/Df/noNGGSsjjkUWGCYmwyoKUypQTyXKKIIsuJSJM+psTmEoTJ/HAgrTicHLBqJ49jhp/cMqzia/LoZb/raef2NRqGRI8535slPj9DHMfo9Ttfx8x0i6/e/yjv+LMTXLsj4KYrdEkalE/k6nTqKvauaKpLAPsimrsC8IpEqe7PWLB3UtLlJVlSuaeBZS3hyw8GvPcTLTpDz3mAqedN2qTrnJMia1kuGCrr8GI020VmEFbCsiJAF5OAnmDtVXivAN2WAq0ya2dTYW0K/rJUcTZiIhXSGlevEivaNcNPvHnAo88G3PmAgkZMXjiCW55jIxmRxRQFyHO5IjLb0nneuXoRIs90WlMAOJMvQqaZU5um7S8i8VLZn0qXAuzFY3XURPZ7SgpqnuLGPQmXbV1iestrmF13K3HYQZ9fbjNMWix3Zllbn6Xh+az0BK0GLqk3Oa2/BFwqf6waTF7svTKwq1F/kaUsA/vSIE9W+d1aJe7npSpBKWOkjtl3TPPfPtbm0KLv2uBFSXunFYNeOuskdzbERYJKJi5kSsAu68jVaqRKO6XETg7yCd1duAqlstRJj7wE9rwQy5p8U1mRSRVhnVSJLLtmY372LT2OndMcPC2wuiywBEiPJAU5EyDP5IsyFO/lAE8/a76SpeCf1N8loFesQrua0fPS7Qroi4MscPJHK0GzIemPpriwoLnimhm2baoxGsXo6aakURdsWqPZsyOg2VCokn1SBnTmYU8uKUVnxuTGQyWpUravRBXkZdYWFeek2HS02IT0Uskck1YJOmkiZYwfxJzrCH7jPW0+dVcD66kiHf8N2Luo+16dki+D+2JJnTKjF9quCvgKa0+APXtvdU1KWYdngLZ5htNmOjxlcCmy52nwKQxxYvCkc1U6Y8kv/o7i/IqAoEy3AovOmfxiILdpptOm8kRl8iQDemoPp1LdPdqSdGFSuopc+hcSpSSBy++llYyV4yqcVbjUMSwsK3ZcpZjbIOn3FVIphda1c626+OKVu6aZaib4XuHNZsCedDaKZuByGWvJv71IQ0JVZqQuSCn1nr83sS/6N7QD00yllAlSxelzV2sSYvjs1+t8+eFGWmuicmBX2bvYNbg8b7CsF1eVxZa0OKWfTTJ3Dv6LRUXlWpQyoMmYW5Tmh4gKc2edPm5DWdd5n2/RnQ8PkqX3iopDYSWvfv6I179wgC8S3Kzs0t0mWGuJLYwMjI0gMhAZQWwgzob022zbQVHagjC9Z9nwbIvCktORlKy9JMtGGktii7n02WNSel482uJn1v1uFBmWOmMi22Qc8cV6LTgnhET9zn/5XV7z6ltWYpOsjMfhD3VXFgl8WYwaLpemlpI0OSvL0n4t5eSEKjR8pXmh3JlTSuZUSmHLtd0lkMuLMHe5Iz7X3TomkYbP3FvnP7x7iqNng7SJoUjouJoTQSChJt0ge52OgctmixfJnGI0nLMPi8H8+ZRbAVJK8uFHojqk303qkvnv5T2osvq6PG1gssOpHM8U0wdcLbV7pDKuoRoEl4I2Y5ltJ1x1ecTJC4qDJ7Qrw8h+sbQUWeG2Zy/ii2J5qrjUpWUsCwjLNHvRWKMkz1Yvb+m/fZFgxU78N6Q+vrEx11y1lXVrG//noUP7H3zxi1/m9ug5eCJGKcnSvCEZwlQTfM9lDKvSohxAZgcvG7hyMdekrMVLwaSsWoT5XuuCEnMXm43KNKCUlYCyYO4M2Nmj5yUcXZC89y+b7D8UQEvlbkme2JEylyZ5nyUXqW5kNVgqwMmtrWpAKS7K5IUPcLFkj2NtM5HwmQg2KV5n6XspwBi363DmjYuUxYUodLgUWVe+Jhpb9lwW82Nv7PHw0z7H5mVJa6b/l7omsRS5hWjTgDNLo1uRNkhkNTM4RyVL8mR3mS6Drq68egxz7W3LteqT5oXItbgUYJOUybPSAQGthmTTGsHmNQmjsft8GuDWG6/BD+ocPyI5efgE9VqM7xU6Oavwyr53JYAs6fDV7knZObmE7y1AlANKUQSYSpkSyFeDu5AyCUo4aaJ1wlJP8F8/2ObuJ+pFlWAO7EKa+JKJMchFl44qnYBVtiAXea+E7kvFl5e6VVhqsi4lf8zA4zSwSWcDWpH2Q1a8cQd2IyzCOOsysw2FUO4yEoZkYHj5jWP++du7/Mc/kSxnGwRn6EyDSWsUMYKRKByUrCDLyuIzKUiDzFSny9J3JHNX3M9kCmghS/o6Zf4M6HlwmQE+Xx0KbSjSDGaSODVRa25n3abnMegPC4Bv37qRdes33Dmc//I7gm32F60ZuSu/ND5skpVydparA8oywLPyWDnJ4tnrSbYW5dcO4AV7l8GdpFnNakJnJCx/+MkW7/lEi14lW1nobje7r3BOykVV+XfJ2LziHqVMXQpuqmC2CFE6q98C0ie768suii0DvhJwVjdulXnQSc7cRgqEke4Ypzo1SecXCmFJUhHb8iJ+6s09zi8qfu+DbYYVR4UU5BZrNLEU+bQeC+nP0/KNzDoU7n2JKH7XFkydF2VlODBlEBfPrai+nx/rsqYppepNYhmbGo88c/4db3zTFXeePXu+APj6DRs58NAvDOaa8uhcrUc47tMbNhiMPOJE5nuqF+AuwJyD/RLALioHU0CTWYWmYPJVwLYlcGc130n6syyRY3JJImWMVDF4hucO+vz5nQ26kQZfAaWgUioHcFJpkt+L1aSQZFWwV55PRvjl1+VV7ltEep6unyg2ylnbZjsr2NJFUDgrxpIOqJcOzJk8wUkUI4yz5IxKmV0ikEihiCNDqxbztlf3+eIDPk8ckJgMjdlGyS4diTWKKJch7nu5xI6r7NOpxMkkipuf4vxxmX/XsrNSAnp2HO3FgV22YSkdkyiBwViwOIDpRGP2Lx593Q//x8HnP/grBcABZra+Cc9vcGj/HSTju6jXNjKONImZ3GO8BPD8JFd974ydJ5+LsgwRdpU0yYBf1ttOqkyCu2DtjLm1l/DUEY+f+60Znj4YYD1ZyJJMe6fsnc85kWVr8BKp+UvJFFEOs7ITMYHwb43EqwEUEyBfZRc658DVe1TZXKYZTSmcayKsW9qNzYDvJmQJU2JxYRGh5frLI971iyv81H8SPH2oBl4JiekF6CgzZXKosLktsblKZUjug2fWYnocM1KwWYyTtsBJa1eD204AX5RWPAsmgX4Ewl/hTa/dzete+RoGwyGrAL7Q20KrWefOh3ayfHYrr77V7UWTgzo7b5MeNynALwbmnOmrxVRCFMCuZjALUFcYXFxEnsgEJeIU3IaelfzBJ5s8sTcgURPJnLTeBCRaUEypopAhq9g7X3XKoJ4YC1EBe5UAvhXythPALiPclvs0K++XLMTJmnHr5na74NIB3aa+eJIGhY69nZQSQiGMJcGgheXGq8b8b2/s80v/xaMXCwfylL0zPe7+kQLkWVyQCeYsm6mzGpaM7cuZTrLy3CJAzFL7AvIgtKLBqQI/O2BKwoYpy23XBLz5pWvZtXs9UTjIj2sO8KmmR70eHLppT/vwCbVx12DYpRYUGbXVAJ50ScpgLuTKZLZSSnMR96TwwIUoB5QXA3f6nkirBL2EgYH3fqrJx77cZJyBWZbZ2/lxUlA0M5QmVF00a5mxy8R7GbCryZzVMcq3hPAqeVdroy+iw1NJW2H0TIPnQ4NS5ySTKsJmWtykVppEWIuw0gWgpGyeWHxhecurBuw9rnnvJ1v0I9wBy6UKeflKBvI8IDYpgNNHcDpcpd/EAir7b2yhx3OZW8psusynXcXcGciLBm93ej1t6fbXcuzczOFd19QOhXGSH9M8Itq8eTPDxbu+eP2V6kO33SRYM70CQJKUiq6ygLFcvirL7DtZw10qliqn30sMnfdUTmQpqzZgFeQyTcVrFdML4T2fbvKf3tPmwmKWoSwHltld5EkdJdw4smqHTtnmLAWXJba5aMp+grULtpmcT3hphJeBXHkvf5kG+pWKwmrix5QSP6uSQWmrW3lwkDEKY1Vpu0JNnCg2zBn+zY93+Cdv7NEKYkiS1JOLwRaJIPfcNRyE1t0jI4htuq2fKRI5iRV5ciffXKuc7MkHjJZ6gdPAOSm9b01xTJyl7I74yaWEs6M253rBhz7w8Xu+uH79xtUMDjAzFVNveZ+746vmDRfO1G7YukbTboDvWxSpT11m5BT0VelSsHWZ0TNwixLAL8rconBMnERJSgmeAtxKJcia5dOfa/Cb72lzbtlzQ27kpO5WVDKWokjg5M5JxuB8A+Yu+dyVdHyJp8ujxf67vMKLZDRzoBdT3i+Ruie364wVbhttUaTzRYXFM9uQ9NEiSKWKtW6W4diycSbh3/xEl8Wu4kN3SKhRCjYnmBxNYgShnGDy3NZMnZWUDWxKKM5OSfHDhD1ImblFLmOyMRYZ+/taMNMWXH+NYv2m6InlceNz1gwqh7YC8Ma6N/MjP/sf7rM0Hmkoc0PTN9SDGJ9y6t2U5ElWVGNTWy0z54veS1HS2UJMOCVlfV5xTQxCVFm9AHea2AkMh05p/uyOJmcv+M7vXgVs18ggUs1dOCfVUthKcEnpYi3dqy/cgS87KBVQf2vE/Y1/ngEZm+9Nuap3M38UuRedAzvT4UZgyAJPUUgTUZYo6TohXAAbh5aNaxLe/g/63P+kx+HTPgTpB8vAXckmKhIj8lJZTFlvV7vy88aOrJyWYkeJTFpPBpaQ2YYi/xdIt7CZaUqu2VJjz+XyEWu/eN8r/+GvXRrgAN/78h0gBPPnDlP3VvA9g6+LjZvK7EwJDJMsXrgmpgC8KBwUuYqxTUm2lBn8IhlL33D4jObfvWuaux6tQU0W4JbF8J6stjULLPP+SlEkcy6mv1fNIEzb8C5aWUgxIXXyOpjU7lkiY9IlyYBS3gunmA9Y9sez3ynZg6k7ItIA82JFWSKtVRFCpkkiiTBZnGTTZnLlRoenAEpGMa+8ecSv/1yHX3nXFEfO+o4hMpBnX1Zmn9DNQAzTLUz88n4j5agw/UWR6TBZuE8irzIscUX6Opt5mK1aQrgNDjr9hCNn6kytnjCEpwAALtlJREFUuxxzkab4VQB/xStfgZQqfOrhFforF2jVE3wvSbOKRfo0/+tl4poEeEVzl90UU9XkJXCLFOCqDPSyJegZjl3Q/Op/m+JjdzYIRboTFJOaW60OLEXRyHDxJoySnr4IOHMAl52SCe19yVv5hxPnIdfgUHFW8tdZ8id3VKp14mSgL2U2RZnFy2BPpUqVza2zE00hWTCWmra89bsGJAZ+5fenOT4vUsSIizB59l0kkSlS9AZ3/G1KyZm8UCKdi5Jud+KwXhphYUsrZxYDpsdeJq7gK04sYWS4/Io5XviiV4RxHH9zgM/MzKL91i/s2LHh6v7CUy8Xtoe1qmCF/CSsPp1F+5Gd0NsFsIW0qPRx0hLMs5UVcMepTInQ2nB8XvNLvzfFJ77UIJTp1mtlSVLxvCna0CrS5BJVg6WLM68ULOnti7kmFXlSvhL+B2657LC2Iknyn01kPzMGv9hk2gzYlAAv0lY1F5LKXG46maJw5UWWKLZ4KuFtrxmiFfzy701zfN4vJgCtYvIC5DnU0imcmVzRlSs8lSemGtdU+qEm45PsMYRxAnMzdTZt3fHVHdu3/MLScvebA9wL2nz8M5/ogtofxL2X7Fy7rFq1JmGsizG+ab1DPrewfI7TINRlMMsavKS7K47KNwJ3FmDGSG04syT5N78/xSfubBCqCXBLWQF32TXRTCRzKPvdNgdzuZKvDOAya5ctqvx75y9skfz57wwyJwPMyfqU4j2BwaasXMpw2jTvMgn2NPkjcifFjTTOXhtrc1bHpkFoKjkElhjQJLzlu4bEieAXf2+as0tUQX4JJp8EeRUptvK8UAG5MMi/vhshCAkiT80PYoFf63H15ePkVbdF+/c+8xfdq6/7gVWHVnKRW5TA/NLg5z573+6n7nlyBikNvo7wvRhPJ/kkqdwloZAf2etK8VQF3KYKbmmKrOQq5k5T8Soh0fDHn2nxsS80CJVMGxfKzF1lbymy6VSTTQzfIGNJEVxebDxEhc0vKmGKK+O/20SxxTVRnidSTtdnzFz8rLAJy6PeMn1e2InFe84+lDmzFzXj0iWF0qH6rjsotRITiY7hra8d8BNv6KOTJLUPU8vQJJVacnd3VZHxpIWYvpfYAqxJyfK0q76bsxYjIxjH0I8F/djZkK99Xsz/296Xhslxlee+59TS1dv07Ks0mkUjW4tl2bJWG9t4wWE3iZeQmCUJcFkTIIFAEi4OCYshBMgNcIELYbkhj2PMNbZDII4BG4Et2+BNkq1trJE0kkbSjGbrtarOyY9zTtWp6prRyJYsm9zzPD3VXV1TXV391lfv937LedNVLU/Cm32nZSa77YkA/91rfxtDnWn/+quX8zUDeXBO0JivoiFbgW25EpAKzPqPzOseIbhZIrgp9UEk5zbilpt4oAYDMYF7fpnGrfdkUA0yAnXrHdW7SWC5EZm7PVJbqfFwCnkDiIFWz0lR8NW5NtEAHVifGLJPBnRdjEj6iZJ+dA6hjCAoTo4Ffxg0AGsaeZCUpbTwWKdaTkPQK6ArvZwR2D7HjVeXcOWmMogvga0AzZQ2fuogD3u+SGuN6Pf1OVBjBLM+xUSJYKIozuvTe5sxNnMBf3JnwV967o2J59fEHGPjpg1gfunWqf2/WEbZTPbxZ3w054GuphSm/ayc8zz2Y+p8Nha2r6Ml0nKTORxKg3iglg9qAndvSeOD/6uAp55JyYJhY46HpCa0vgQt0LsRC89r1nuuJCvd4VRv6I5oHMgLVQsjDmVcBkRMA9c5uW7FOQkkt2iBslJaBB0JeDgPwU84lfxd8njGZXFDeOmJe4PgIwbxsGqghr9/7xQ+QIEf/iIDGB6CDlGnQFcIorK6Mhjx0gh1Dl0OzFZ99LVNo73BxeP7c2CZxcUVqy+6NZ915jzHxlxvfPyTf48P//HaX9eQ+6Nv3j1cuOW7Ldj2jImhRT4KWRuVmiW8dkStV11dpXIsjXrLXa+WeKHlNn1QC7jz52l8+IsN2LHPEeCmmhQYaN1mAHBKhSRoUx4tRZOt2KLt5bSqmYTXRFbrRGZeJnr7OhKsI8FSm79dvlbrgvd155ZGqVJYqZMsXYYNP7U6WRJ/8Doapf9GmGepFwxHaJm6kzGgvdnH+ed4ODBGsesZY27nOiI1hWF9CiKDPwrUMT8n5vhTCpRdiv6eWXzk94/iTS+bBVDF0PKLj+wenX7D9desc+fC8ZwWHABGi2txdHwad/1iN6pFjrGjHNuHy2jMMFRrVFNKCFRlTxDo0cGutHCi6d1zgVtybmIKcP/FFxuwfVgDNwnBHH1OQSS4hfWuD+rUWW9EaUgSt4a2Pg6IiIWv/3Wx0MHrXofWOngNPVVWC6JEuCsPystU1iHR8sQFXRGOMAMBgUjEAqMSfnJd8KmxI1S3HBdY1efiE++aBufAv23JAFi4JTeIyJ8Bl78J1B0oPG1B3YA8900pH2sXm+hq6IRNGN7yCqCxrxeG3Yi/fdfc53ZegFdJT/XETO3tV100dNuR0b3Z9hYLadPGsYkqbNsLGs2DMhDtdhpEN2NSoYpQJkuBYZYgMYEf/jKND/9jA3bsS2ngTuDfmiQYCceT+hRYolnpCJh1ACO6Lp5nEi51hIdI19WAhUiGdQ0qk5CvB4Pkxkm9C7kk8iKZKb6NzDKkorVEBPhAkF7LNF2ScAFWQkRNAKgR8okacF6fi1veMw3GgX//ZToqF6rtIl6euOO70qGmnEhFS04jiOj5V9M2mgbQmGaollL42SN5tBSA1ef1F/uyxtsLzY3V+c7vvADvzFVY3/rBh1cusad/+h8Hs47tIeNwVFwKQo0gPE9I2KAxrqiEed9hECd0OENwU9lDkBsEP3rQwQe+UMBTcXBHLHZouZUkaEtwh6mw9c3ro81Adec4ZrkTbp9KHSFJ2A5+nYQTGVunKX8JG4YhzIBvk5izGeHm4YUScvGEfJXIc8XBRS2nMlCMiS8g8j8UqCEKJahIeIp8lRqwYomLz/zxNDgnuOcBB74OalkUESSYqLA+J3AhDL6BsNe3HjRTv5lJAdvgSFlAqcyxc8RFPmvh8msumzbsJQ8fPlJkmGfQ+d5s72hDQ0PheFO+ct2Gdf1uNn0ClsnAmWgJEOriCJIIQgVCglxSET2xiiaA26AC3D95JIX3f64BT43YMXArtUSnJgZAQ9WkvkqnnucGvC7O9RKsehIlSUS1djHU4XmBTCWihAARBzQI7ccuEL2VW5gjTiIXgvp9WEQ+jMmGSmkBQZhdSGJLGqgrQTYiM8BqBCuWuPjc+6Zw+boKDKYpKjxBPoRICfQ54DLAQ6ieMO07Bn6HTIwjRLSumJgtoqd/uXv4eO26XC5/vFBomfe8zgtwQixw9jSaO7tGjcLg8IM7G3B0gkIVfYo+zZqjKU9/RCKMWGs/AmhhzUXLB24S3PNQCu/5u0bsGnHCzMC6KKVmxWX7Bpugrml9COqQe4c56jGHTAN9CHTNekexrJ2fKFc/VVAvDPAkBLeydIFRIdELIwAJ0fRvBMBnPLrUU2j14F3YU0XTybkRzg3EDfgsTLNlNYpli138459N4cr1FRh+DOQJMiLngAcEsmHEUCI0NnpTqeYcx2suz+CSzUPDuZaB0ft+NYJsxn72AAcAQin+3x3bRg6Npt+6fvUFaMhUkUt7oAhveeoAoMuCsfK0sFCByQp4IQWatgD3vQ87eO/fN2LXflluFs8MrHMwo1mCincH88lr1KROBpzHqdStdH1iFaLWPA5qWW7CE96aC8TBkmPOETqXynqHn6PnSOtgjqTWsljToEB3TtbHFdiZ3jiIaSCX2rjPDc2SUyxb5OLz75/CS9dXQD0mIoYBqHV9XGjkTLfiQPAIMSWwxDkwWyE4NsXQ1LIO3Q3WW+3Zh0YMw8DJhnmyDQg5B26tBNNKHx7dx36+7bGtL5kqlZEyM7DAwE352+otHzQwh3kmPuIRSjPlYf+4gQceT+Pmr+axayQJ3GYiuEHEwdu65UaUbyf2NdEsQyQtNmGbqMql9z0hiUCPO6hi3QLMueLZGlBFqTqv08oR4dTy/9Q6opKuIObXjKkpOshJoLoQBE2/GQMxRLYhOAtSbYVjyqOVPSFAALmae8A5vS7+4f1T+OhXGLY+7mD/OABbHnugrogzyTmBJ51OSwv2KJVIFTVYBgE1fKQa0ii0Dfx8xepNh2dny8jnMyc9tSe/BAD8zd98HFe/4mUTNZ6deXQnv+HRJ4+hpcGBk2JIWT4syw+n7ovMshCdViRsmik6vu4aNfGJrxbwhVtz2H/UBjdjDiWdG9zKqbSU3i1BG3SjUkoK1Z1NRIodAkUltqRS/w74e/C+mmJkbi2cECI7B4S6d7hd+FqnQ8FnRy6+uR9R3yHaqbXOr4hcsKEzjbhWjtgFrV3EITXTbm3hJR0Fiw+0Nfm4bG0VnV0+nt5jYuKEITxKQmL7oOCyzYbSxkP5lsAyAMcEmvIGLlzm4fevXY2lA71/dnRseEtPz+BCoHtyC65GQ8MgMpn8w+cu9e7I0dK1jA2DUg7TZLDkdNkBr441xDSIau/gwzBcmI6HPYdMfOwrBdx+TwYVZopJcUhcCqTzglupJfWNe3TenQAYaNZbt/Lajxv/6SKtkCN8Rd+QRBb6Dk5qx/ncG0XK2bTXgZqiqRB65T0JJMN4xiEEbTHUejU3qihPZIyJFNZAWRHnnVCZ7B2v0WQhNQIF4AIdTQw3vbyElMXx118qYO+hFJDytDuARDMncDkFZdJIQRgI6nO4vgzrex5aW5ehr/f8O5YMDD0Mf3ahsF04wFcv78TkxOGRwZeu+5P7/e1G8YT16oxTRMapwra8aPXNHLncpuHCtH3sPWTh5v/dgNvvzaJCDMCJ69onB7fi3cFErbIULamPX1w1qQvHR5axxKqYekISHnXeZ904Na8zoprIezVHqGsrOqNJ1hpN4dHXmjITgJlD5I0zcXdisrGT2Ej0UGQi7RCBPkipqCpiDEw1N9JATpmcMEKC1634SFkM111RBhjBzV9pwPBhO2xHweTJZQSABY8SVLmYJ0hp5R4noMRHc95BjTXctah//Z8M7zuyf7C/e8Hn8qROpj4am7swum/r/qXLVm9bvKgRTfkJFPKTyDglmKYXWuxgzhw1P6UnwJ3ysU8VK9yTRQWmUEtIPDPQOCm4LcIDWZAiVEIiFTrQbtfqOeqVEwD1VECDpR7qjgRvYgb7dKgnaic6yOPxnrAIWXcsYzKjWgdEl5pjGdZ0kvr1qiMtJxFH02dUS9ZSjqeWmBVkI5rwXAMO57jh6iJufvsUlrTXgKpyOt2I8+lzjhoDapyg5BNMVIGjZQ/7Jz3kmjuxccOF235y39b9g/1dp3Q2F2zBQ5C3g6b6b2mwHhq45RvNNz60bRI3/0EVva0iTxlENss0fJgS3IbhwgPDQ0+m8OXv53DbvVmtWEH1LNEtdzR5ai7LrWiJGRQQR9NdlUQY565xJzJODYm2LrLNPEDWndUFIz3uXEK32rFN9Wi5cigT96PMOwvmrdRBrpKrVCoA47JVQ5BTrnZE5ewQsqm3tOSUShoD4XSKzlXCvwCI/EwKzn3Rx9AlsEwfN1xZAhjHl27P49GdDqq+fp6EEWOqvoADfV0lfPxNh3BwvBP7Tiy69SWbL7xl+879pwrXU7PgAJArDMAsfmsq19X2h8P7F2+B24PDR9sxU0qLpo9yBgYqW6qZpocqYfjmDzO49gMtuPU/s6hREzBVG2PVkN6MPpTOLTMDdXBbGrgNGlKReJLSnNw7BvI6ylFHpbXJkTQg6xdCHOynOnjcTCMGYG1Zl02IGE1BlKKo/0my4giCLNG0Wj3NNsmSB9Y8sOQ0sOI+M+AzE75vgjETrmfC8A3ceGUZd35mHG965SyyxAV8V1pwseQQ85K2OT6WNDhw0Id1Q91biuj9w4996QdTq85dcsrn9ZQtOADYLW/GI796vPTetw3WfnLP3ahUgHJtBtlMWcyJY3iwTBe2XUOJMXzrriz+6qsFTM5aolCBxiy37DoVt9qUaNXwiIM7zKSLpr2GVTs6iOO53YiDXCoSSSCOAH4h6H02CCeIWOIw8YFH8c1JMMNCpBKIxHJTAjCLB9GseZCERcT+lO8Yhvk1rZ3Lo2BETsomJETCAUJFRpWiOJSycH5Madk5KCjEziklaM35+NTbJ2FQhm/fmUexSoSMCAJGxMWRtYEsAZ4a6cG1a15d+1AfKfUvveTZQPXZARwAhoYGwDl7qDKzZpM3dU+6kC0i6xSRdiowaA2m6WH4GMEP7s/hk9+Q4Db11NakvBIBLUIVoMOHgZCWCPku7EoVr9YJi55jFjro4RJVTiLppEkXgLYN9Oe64xm34ifzO/XB51gXpEBEqQlR4Cah0xm5OGRTSwVy5VxKPAfrqOLvGrAZIB1HCgom81EoKGEAU/NVhT1WIPu6g4gAESVcUhYWrTIiFJR74JyiMevhb946DcfiuOu+HPYcU1M/MJS5g2Mlio6Khb7BVeWO7r6HKD1lovHcAV5oyKNWLf/l+g2b+Oiuh973i0f2OkfGCS5f52HdqhoeeNzCzV9rwH1PZFD17agzSaPlZQGwNautJEBTS20NLTevBzMQsbxBkAfROkudtkRAGgNwaK2Jtp7U0ZbIvGpJ3HwelEfUP513x7i5+sTAluscXFEOoqXTEl53cSh+rRrnQCVnUbUMg0pcWmAmJTvGFKhFki04EyWWVGYhEi4b+oglkdabcApOGRiXEWyVHsApGtMuPvH2GbxscxU3f62ArY87uHBVES9ZyzB80EE6u76ycfPFnweMv8pkss8/wAHATqWZP/nVmyu8zf3Rr8//0PfuPWRf9mvg+iso/uU/MvjpI1nAssMe3XVBm3BOST291YR0HolegSP1bRqCV+ndOohJnUwY5d5xkIdWun7GXQXvRAczEbiaAvIsRpBkRerXBUpenRXXI6AKuTplEf/IuLjTqTuBaAYUVu0zuSMFaEKjaQdCKVSUROWRqw5nYcY64RLonMgwu+rHwsA5BeUhf7dtF9esr8IypvAv91Rxw0sr2LDCwvZ9fbWf7W779Ge+veXjn//gtfNmC55sLCiSOd9o6n2Lf/j4sq3pdKXW37Pv8hW9E8ROcfzsoQyOz2YAx0FkbhxZLEzk3DWmciIplzMuQLY1hhaJlE6kDu6kImJ9jqCER7wCJpKURUndNnqkUFT4kLr1al1QuUOiUc1wvb4uyv9VS+G6CzO+HfQLU9ufvj54n9dFOfXPBqL7V5enfmdLvpY1K8DD+yYPwu80zGyUr8XRhMlbHBQcspjZ4KgyhkefSuHoCeDweBtrbV17829tXPWZ1Ytmq//w5VufEz6fPbmR433vfC0KrYfKy87pu+PyDev4yzf5uHodQ3szAWgaMDKA4QCGDVATlFBYVAQu0xRIE44M5UipahwqHmYQbudh2J2gLr9bb7emqkNI7AGNe8cfSb9d+H/RXzfOz+vfQOyfFzaSkq14wkZhYEdLvEpQTfQmnMmv5S7jykoAVD0xK5qUJSKdKvlKKC1KTfF9I7DOvm8ED88TD9834fkmXM9GrWaj6jpgfgpHJyz85wPNuPO+ZnR0b+KLexfdcfjEvvLS1a97rvB8bhQl+E3t5ThS7N69vK3wzoac+eXpEz+ixHJA7QyytihsVUWngl9zSUNiCVFawCbASp1TGCsORj0tmStokyQJzgt2kKhVC2BbZ9Pq0blQfCdwb/U8UuyQRJPU9pHPIyFypVcZRDcRlRX1TRFsI8BLKBMZo3KXjEfTh/XmmJBKS3Dha30rGVG9yDkoY/J52P3WMkxUyxWkcw5ee9U1bOXygXcu7u/eDf/E6YDm6QH4jb+1Ak/v3F/b42/8enfuocwPdiz+3OGJKvqbAEp9zFQpSnK6aIvywIkkWhh9LjxEysu0apzELEHt99fBn5glKB/KUYwDPg6muFMaWXc6xhz7EhWUMXE8CNcLdEckQRK39DyYRTio9ZTADnxRgrB0TRqQINc8uIDiV5k8NqXigEQa9gCx1GmlrlAhxXi+iXLFRrGcRcGZxjWbGzBRon/a13/Z1w+O7PUX9204Laf1tAAcAM49pxcTE/v9hobX700XHp9Z1nFvntWmUa5R7Bpn8CoUNpUzm9EwvTXxx9VOFCHayUIU3HWTRMV4bJxb1t0dtPfUZ0VwHOMh+v7ig8zx/KTjFCy95sqBcy4jkNKKylyVAPy6sgIFYB6z4sIMq8ikOK9K+9ac3uBYuY744KdSwI56g9H6VEqFikJkbUCtyjF6LIvpWRPtre14x+9dNWMX1u89dGTUX9y39FTO4LzjtAEcAIiRw8jByl1XXrLuXfkU/fzWB+5vbkgfxVhlAl/8QQsM2EhRJnoFUm3uHy2xSFkNXgfyeitclywVeyC+Xfx/NXTX0ZCE/wne057MC+yFgDdBNUl8n9RvixiFCUGpFIxQ8lMSIydRoBOuQjokyCcPjkPp7PLLCMPOA+uu/9W5e6C+yOei+EVkLxoGgWFU8d17KcbGDCxb0oL+FZdNdC1e+95quXyXkT15jvepjNMK8KZCMwBgZmbmO5e9ZLPZ3kRvMUp3tj26pwiLNCFtcqQtMauwoidxXsj0W23EeiSBmdfRFR3U8WgmkkCsrY9vF78h62ueFZify5hDJ5dGOJQMtSXRwM1JANEwQUt2mVXN5ZWBUWCHTKOFPNdcAzmBDupoaZxe6aWkS0IM+Ibs9mtxPHUAOD7RgNe+6pJjK87b9OeVqvudQlPHaT9tpxXgauTzeVQrM/+0es0G+uADOz75nXuPt6VME80Og2PJWXC1yBlTiT4cQTuDhFbPMYvKo1Y66f15aEkc7HWRyDqUz1Gb86y5ydwj7lTyhPcCYKsN5rDsJLYfQT/CZvlBqJ1A5IBrYJdUXPMC1HoSOyaptDChr3MWq/+UJXOEimlSQHK46aoqDpb7jl28edOHy+XaPzU3N5yekxcbZwTgAJBy8vjrL976dZ81+5a5/LO9DQebc2mhezMOuB7gqblZWNiIkbDwlljXHS4ByPr8OaH15gmAj22D0LnUdh9ZzjnOkLVOwmnS8yRaoxw+roE3yBKEAB+h4fsBLdSc0jB8L94I40ZqjTiZoV2Xn6+Stbje6zB87fkUNc8AZwSzJsNsycB5Q60TL+ngH2TF736zufutZ+aE4jQEeuYbP/vh9/DqV1z3RF9H7kBrgb6sNDOZKuRMWCaF6wmrHc3dDiurGfTb3Bz8W1od3bnU59yJLyNladIyxZO1VGlaXSs1LWiiP9dL0sJyNFK3vi7Qs8AHneM5tHMW8VGC9TxYF17UJKIc6QYDda/nOufhtDWBoymttdC/hQ7uaVmGrmdgcsbCdNFEtcZhpQdmnGz/uyqV9D8vXvamZxv4XdA4YxZcjfYmyjKZwq0NOXj5rPEtVjnoHDzuY98YQ9ahgUWnFCA+lycqGoRQI25tkx3L0HmtcxKJvg9Sx8ER2+ZM0+r4IMC8Grr+Fklar3NzSSQ4l0uiqX0xK67oUEQ2hKbExKhO8PmK5kg6xBiBxyg8jwYW3KAcjfky9h12seeAg/UX9FWcXOdbpsqF2/2Z6nMKwy9kPOdI5snGG2+6EdOzVf/AeNftG9d03HT55tYKTU1iqkyQtggcm8C2RLqKJfvYc4TTy/ksbLEb8Tlj3Bv6nQD1oK57JDilMT80Orj2wQsdZ9Q2JX+c3jdFT50N18XyxEG0dVrzIN06x857OI1kWKJIiOiS5XrCYlddA5WqgUrVRD5Tw0xtHGWjozLrdtx06ea22wlK/mVXvu6Mn5MzbsEB4A/feANGdvxfv3f5uu9//uu1N07VyDcXtxzOdDZTlGocsyUOkxKYVBSaVj2Csk8Cy2FAeeJzgJyoK5XXgTUOZEiaANQDem4FRdtmri+pZe+d0iD1r+e82Lj6QrHAj9qPpn0ryVpZdp1vS4EkdDIROp6BFVdBosAjl16nmuBAzoFKCIfJBQ0rlm1UqiZ8MZsVpksGiiUKjiyuubi7NF3Lvfniy17//YPj/8o/8v7kft6nezwvAAeAJStuwh995J/5/3n1idtqs70m70t9uS23v/D4nhqefsZELk3g2BSZjI8TzMPYMRuOQZAyRCIWoQQGVzklvJ53kliYP4FuxNlIZL2uqpCEf5hr8PrtTgnnsY3r/u8kdCVwCNW50d8PAC8NRCAZSrlPBYugmnpCs9wqoBQ+D2bACCbv9WEaPizTx8FjJo6MZ1Gu2nBshny2htHjFTy5O42rNg9OLaId73j3xwZvq479I1Id7znd8JpznFEnMz4evf/7aFv7BvzRtS3bOtubD3X25C7dumMyc+yYi/YmC71dNq5cX8X5Q6P4xTaCybIDQmlYxUPDlNog0zChv7YCetyxjDuJSY5o3BEM90cCaxYPFCmHFer/6Ck4mTR6vIl5NJFteXA8SNheXRN1F7h+F0NI66LXph59VHk4WpcwGvaXNCiDZXnIZSoouyXccmsKj2xvgEVtWBZFPlOBkzWRajx/POUsfu9ju51/fucNR9G/6i3PJ+SePwuuxrvf/ka8G8C24elvpy3TXHP+lk9VZn7S1piuoaedoK+TYanFMdgyg+MTWbh2Cj7mpyb6tNvqERQ51FnxkJ7oS23vJ/kG+r0/sjZcFcSvyVxb1EVOT0bt9btT3KmMfoKkHQH9IIEzGARrAhqj559o20PEJqC20bi7svcK6GmnhqdGGR7Z2QiHUbTkakhZJjpaW3H5JRuPdfZt+hDgfZuQ9tMLpAWO5x3gaqwaaMDsbPEbb3jdJaS3jX5y1/YtbZ3Nx9BSmMHwEQ/js44w05ij62hgneujmXG1Jcq/E5zLmJqyEHqhKwuRaGJCkGY+Pk/iKxKeJ9D0ujeCnCeEfDv4fC0PJQgAKc4td8S5Crsr75OIHj8spP08coLEdr5P0JxnaG6sYu++LFrGquhsz6N36IpjLd0bP+xW+Tds5/SG309lnHEVZb6Ry2VBKfn6pRdv+MDVV11+YtlABqMTs/i72xyMjDfATJmwA8lKnlutet6gct55/VYfu10DyQChqMeT3vQn/j+Jgkg8+qJNjBuqFws4ETFqEXWQE3YwT0RI+bpK74sqJrF/0eIMYUcsNSGVmB3Z11ooq9C80lV8RlEsO+hqMvCn14+hu3MKNNOOTRe/9MTSZWs/4Hn862cT3MBZtOBqpDNpcOZ+Z/mKNRMH9jw9+MiBJZ9+6sDDFuUOmh2Cms9R9gTPdSA7yKqMRMnB1YhbtjoaoPFnJFj0yNBBziGKyYOXYRKrzkR0S/6c1JTY/4Z3pShEo5SFaO+HTqNSnsK8Ee3oSZiYBYQgJ/JDBXWRX55wWZsJUIPBMhl838B00UYj8THQVsVH37bWffCplg9edOHavamU828pZ/7Wxs/HOOsABwBCLfbv9w3flcv+gd3S/ljpD34n96Xv/9uTpNGq0jJ8HJz1US05sq4QMA0Oy5SN0RENCM1nMOMqS1QsIXX0Ru0vwne1PA/1hlIbAsoSpCXV7SV2QLGnJOF5/Jjnu8Pw2M71fBO1T06iMmPcl1AyoWyIT8ADPm4aQu+2DBez5SqOTzaiVsvD78gwq3ABv3Bg9btf9co134Q7WiP28jMFl1MaLwiAA8DLLxvAr7Ztr3W1tX1nslj52Wsvq11v+RN/u2LJTuw6OokvfL8D4DZsU0xnkTJFHSXnHL7sOsBUgpCWtkxiZj1QRqDTGVKnQgRD49QkAm4puyl+SrQL7RStd8QJVuV16rl8Yz7KpY4zmt4qtgx7ifNANkRsi0jSFsImQL4vo5EGA5dLAsDjLr5ydwpP72nA639rCZo6mv5nT1vvbb7RdeDwoWdq3T3nP8/omXucVQ4eH2tXrcTSJQNlMju+69Dk0Kcu3TTwsQvOW+YXsimY8OGYHGmbI5siyDoUGYfAtsS8mDpNiIf41UjO85gD3Jpjq9QDtV/9bhHh2vG7SEI8JumYIp+L+MUXgj204DzxmJP6FEanMNGOV6dpUhnROY/vE1RdimLZwGzJRLFsolwxUa2ZqNUIyn4Gze3n+LCXfGzNpg2fGt7n7urqGiq/kMANvIAsuD5u+r3fxqNbf+BfsOGGj3J2yGw7+NM/Xb5kR8ovTiOb4shnDWRSFJQSTM36qFR9MbsvoqDjHKLlIWIPDdyqoj1uxaC9JJD5MtotIah6IZLXkjAoEjh3BFAVOEkjSaOuSy/QQR459uRzp0AurgMO0QhWzGLGePRCorKgm5DwIhYdqER3gkqVYnLWBCVANs3AGIdpZtCcyuN3X7W22tz5ys+uXtb6UYbb8eY3/M7Zhk3ieEECHAAu2PBacH4cv9qe+8tLNr6atjYt3/Svt91FCWqb/Oq02dlioamB47FhD+NjQMYW/JxzkcPCeDTDEDGVJZysVX5gTHITTyIL2SlY3fIRVrfEHMu61NbYRTOHTwvlOEYsNqLWm8YitnUfxUMZnhAiu0/J76/NDqGKtw1DOJKMC0rCiZgwN5cp49C4iaf3ZVDIEbQ0+MhmmzxGzQe6Bl7OVnX0P0Co/5d7D05jcNGZyeU+HeMFC3AAIKRVPf3wrbfdiWuuWJcvlYpfnTg+ekOjM0YHe45g93EfR2fy6G8hSFkcpRpQrImJTUXyVpg2GsqLJNKkUx8M0Liodiza+5GJS+X2el9uQCU98blNre5Exp4npaeqJKfwotTC7FLdUFQkzD2RbiJVdxxZbCKdEEq5DLUL53GmZKNaNZBOeWhtnMVUxceW7QwXDTVgcKCPdS3u/V4ul33byMjYTFv32rMNjwWNFzTA9XHj9a/B3uF9M6bpvGdm6vAed3rrqt728rXOA8+AIIecQ9FSMFD2GPbu9kC5iZYMh2UI86qD25DLuF4eznagzd2ohpZzwqmsgqHSfVNRPs0PAJmbmqiRpOoEz+O+AlWtMeL8m8uAjOr1rV+YJKQfFPDVHU1+MUoZUraPQq4MkCp27W9HpWqjrYmg5hIcnyqisWMluhZ33rH2onXbBvp6vlAsVWY6u3vPNhwWPF40AAeAwYE+ADjO/R0fAX31ElQ7cdGawWuf2n0ADU4Ri9ptDC6poK1jHLfe14KMayFr+/JWDJgGgWmEXazUMojusbB/iCqj07P1xJ2eSDMehuzVVCGq93YYKo87qsmjLroK1U5DXZjhUtEU3SFkQYKUCs6E+jaRF3bQWBPie1tMgD9le7CsWdz2c4rHd1AsaeNwXaC5sR0b1m5A34qVd1y5ec17JyanR/KNZyfc/lzGiwrgahBjBbg3OoLUpg8sG+z+zvveduGfHDs0fOn0xB70d05hzTkz+PGv8/DKFigVwLZNIGWJ/noEIvJp0BDknItZ73yfgzEeyI7KcqtGN5D9PRSXIUTP2BPrgu6u8v911SVwHNV3Uc/jsy3HaQnlEaADoSwvX8LzCTwfcGWqMSWCihnSCSZMzFXPAVgmB2MEpsExOevj2z/Mw4GP7uYU2hetwaKh/vsXmdYXeGrpE+DuyIbV/Wf7Z39W40UJcAAgZg8A7OGc7wGw7eGt6Mpmz/mKwx5auuWxE0axbKLRYDANgpQNZBwDtimTi5gAjWEQWAaBYQi1lLgM1RqH53N4vib/acoFpwCVHmwwFV8wLZ8mI3KloACJ3qdmtRNVk7qUBNl3MUZVgrsFoajUOKouRbUmvqdpCCADIirJOAGvEXieyL3PpChqLkHKNnDeUh89PWv911y+cg/g/4++oc2HAewic/kQL5LxogW4GvIH2DU1NbWLcO8av1rrOXf1xu9duuaXDUcPHchSv4h0ykQhZyDtGCiWGWZKnky3JbBtA45twLaAqstwdNLHTFlyVI0DM0VnJJ8FxByTgdOnyYPi3ejr5GOvBzYir7mWphoCPeDj2kS7aRAwZmDfYYJqlcC2CdK2OGbL4DAMoFgEZoscaUdc1PkMh88LyDcuLX7yz6+a3jZMr1u2rH/UNo2RFzuw1XjRA1yNQqGA2TIfyRcuPtDuFVe+5QZjIwH72lNP7/LGx/Y1p83pfHdrBQePTmHrkw4acyaoTWCbFLkMQWsjQ9op4cFdVRybdlBwOEwDQTIX5VzOgiB6ZpsQffeokgwRat76xKtiJIc3dSBHMiEjFEUcg2koKx7OIG3IdabpI5+pAqSEp0dakLZstBRMUGLAtoUlb8hWsX1/FUfGUujtSKG9vX2mZ2DJRPeiQdM08NZCy+CDS/oapwDGCHleywTO6HhBRTKf68ilCQghjHtTJ85d2v3jluaGZR/9zHcH3/SG3/34pRdfuL13ce6xB4dzFZ9kwBgDZEvmjMPQ3lTDmqEJDA1OY9YFah6B6wE1F/B8WR/qQ9AXL1wXZDlqCSKiADdWExkbutVWLaLVCDMnhdW2TJHcZJpMglo8ty2x3jYZHLuK7QfK+PU+huNTPooVTx4rB2MMrS0mrn1prZJtbHps6NwLtl9x9XUfP77ve4OW3bDMziz+cbFYPkEI+Y0CN/AbZMH1MbCkBxBuYOnQ6AFQan7aMOinnxpfY7zkkvyXCkZp2cyJA5dUS2PG1LSHlM3QWpjBgeMl3PdoM0wQpG0GjxGUXCANjrQhAO36gr9yrnJhpLpChcLCuXBQOQ0t8FzJKQrAhgHZXUo6tkzsR1lpS4LZNADXE3cM22JwbBfVmijsbciauGyNj9u3lHDgeBadLSayGQM+TaO5vd3v6eva0tXu72ppL77zoScN3045GNr4Wd7Y2ls627/XmRy/kQDXR3fPYiA0ot7x8em3Eeo0MXfsEzueuNu+d8sxv6c7e+GiRebaz/5rDePjBvqaauhusdDV7mL3mIsDo1k0ZTlSNsdEycdU0UDOFsAEF86qbYmbYc3lcD0e5KebIk8xyHmJa+wmBWxTUI2aR1FxiayYEReFZXCkUx4yTg3TJY7JmSxStoGWQhXDR4rYO5JHV0sKnFfR0Wri+is8/PDBXrS3G79qa3V/PY3FxvpLrqz1Lmr5i2q5dmJ11ws36ngmxm88wOOjtaUBAE4AeAcAjA7fC8bppS35Ey9bsfL8697R5J7jkDKqMyPYuHoK7iMz2L7bRrbLwPpVHPunirj7lzkQTuHYQju0TYJ81gQhHCNHGGaKHFmHw6AG0oTAMAhMVZ0kqQuFWJomRzbtI5v2MV0kGJswQYghJp4DYJoM2bSHbGYWP3uCYuRgDhcMAYvbK9h+kOGRHVlcsaYBK1eeh2wLcNVmcydzOr7X2+b8h8/4/W+59nK8/2yf9LM4/tsBPD56Bq4EgPsPHJ68/1VX4udgtcETExPsJ/eMMyff2b/snMYPFcuHsbI3jfP6DmJq+zGUyiaoayFtU+TSgGmYaMwRLF1cwWSthG0HHHQXCDIOh2kQpGWDI9cDah6H5zJ4lMCyKAwDaMy7aG+Zxq7HgYd3NmCoy0LGMUAIh23VYNISOCtj5KiJsek8mlq7QZ0pvOqKDlCz/CnLLj7TM3AJbWxspItsY+/ylfixYbec7VP7ghj/7QGuxuKuRgD4sXr9q6fHkUqlGoeyow8Q/0l0N9nuOasG3me1b7i6bbEJz+W4b8sjMMksMhkHbS0U5/QXkW8cx9adeYydyKIlx2CZFO2NHqo14NgJA57PMT5ZQ83lWAQbrQWOfGYWU8Vx3P1wE4rTKfR1GDBNC2mHoLGpGV2LrwInwGteTnHoaPaejk73c3aubC1bugwXre++H6hOErLobJ/CF+T4/wCfY6w9twUAJgHcCQDl2VEQ4OlUI+vo6SasWHbx2BM74ZaqsC0L6RSBQV33wtVX3PzKy9xXHTtmuf0dJvq7TfR0VDF8CMg2OchlOCpuFc8cIuhpsdC3iKC9awozlX7rovN7777nJ0/cDJKyTNOEZflwnCwKrWvgw8bKNOjgoDVGwJ8Z6u8+26foRTF+M9T8F8iYHvtPGAbp+NbdhwpHj1O+qMXEki4DHa1l7HiGAMxBS4GD0xp2DBN0NlpY0k3Q3TaNsuuTrbtXTVHKx97wus1n+6v8xoz/Al4xdcHEBQP5AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjU3OjM4KzAwOjAwUOHljQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1NzozOCswMDowMCG8XTEAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 24372463
{'hecke_orbit_code': 4504630469853404, 'n': 1, 'trace_an': 16}
-
id: 24372464
{'hecke_orbit_code': 4504630469853404, 'n': 2, 'trace_an': 0}
-
id: 24372465
{'hecke_orbit_code': 4504630469853404, 'n': 3, 'trace_an': 9}
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id: 24372466
{'hecke_orbit_code': 4504630469853404, 'n': 4, 'trace_an': 0}
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id: 24372467
{'hecke_orbit_code': 4504630469853404, 'n': 5, 'trace_an': 20}
-
id: 24372468
{'hecke_orbit_code': 4504630469853404, 'n': 6, 'trace_an': 0}
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id: 24372469
{'hecke_orbit_code': 4504630469853404, 'n': 7, 'trace_an': 10}
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id: 24372470
{'hecke_orbit_code': 4504630469853404, 'n': 8, 'trace_an': 0}
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id: 24372471
{'hecke_orbit_code': 4504630469853404, 'n': 9, 'trace_an': -19}
-
id: 24372472
{'hecke_orbit_code': 4504630469853404, 'n': 10, 'trace_an': 0}
-
id: 24372473
{'hecke_orbit_code': 4504630469853404, 'n': 11, 'trace_an': 23}
-
id: 24372474
{'hecke_orbit_code': 4504630469853404, 'n': 12, 'trace_an': 0}
-
id: 24372475
{'hecke_orbit_code': 4504630469853404, 'n': 13, 'trace_an': -5}
-
id: 24372476
{'hecke_orbit_code': 4504630469853404, 'n': 14, 'trace_an': 0}
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