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{'Nk2': 36848, 'analytic_conductor': 135.88139874322064, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [47, 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': [2303, 1, [2257, 99], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 21, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1368784896, 1647050752, 4268871680, -4902851584, -4187883008, 4421133184, 1875079176, -1799042392, -463859538, 400981539, 69141617, -53642725, -6425578, 4482959, 372374, -235206, -13002, 7509, 249, -133, -2, 1]], [3, [20915520120832, -81449066099168, -638480219384, 86210722532612, 5964607785678, -27323953401799, -3220506695426, 3738447040112, 560196827618, -260374678883, -46133083192, 9863551137, 2075848554, -198614952, -53787830, 1664906, 797218, 6433, -6248, -207, 20, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998203963647, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2303.4.a.f', 'level': 2303, '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': [7, 47], 'level_radical': 329, 'minimal_twist': '329.4.a.d', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 21, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2303.4.a', 'trace_display': [2, -20, -16, 0], 'traces': [21, 2, -20, 102, -16, -27, 0, 27, 247, -96, 10, -216, -126, 0, 8, 358, -204, 223, -340, 307, 0, 39, 46, -708, 665, -616, -596, 0, -54, -573, -1016, 93, -632, -334, 0, 805, 490, 56, 1170, -1235, -726, 0, 522, 126, 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label 2303.4.a.f does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [119, 109, 114, 129], 'Nk2': 36848, 'analytic_conductor': 135.88139874322064, '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': [2303, 1, [2257, 99], [1, 1]], 'conrey_index': 1, 'cusp_dim': 664, 'dim': 471, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 67111167, 'hecke_orbit_dims': [3, 8, 14, 15, 20, 21, 35, 35, 41, 41, 51, 51, 68, 68], 'label': '2303.4.a', 'level': 2303, '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': [7, 47], 'level_radical': 329, 'mf_dim': 680, 'mf_new_dim': 471, 'num_forms': 14, 'plus_dim': 248, 'prim_orbit_index': 1, 'relative_dim': 471, 'sturm_bound': 896, 'trace_bound': 3, 'trace_display': [2, 2, 8, 0], 'traces': [471, 2, 2, 1870, 8, 32, 0, -18, 4191, -28, 30, 55, 40, 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-226380, -94418, 42478, 0, -7086, -532262, 201568, -108048, -144472, 36788, 0, 201762, 140352, 129084, 163548, -83184, -118340, 0, -75094, -668654, -384826, 210154, 195666, -35520, 0, 171618, -165016, 449392, -2336, -184196, 44822, 0, -152948, 31208, 130426, -579107, -87400, -246491, 0, -296304, -144768, -1676, -18064, 78808, -166764, 0, 105438, -13845, -100184, 81445, -152296, -37349, 0, -863598, 116975, -120632, -308182, 268485, -40144, 0, 83226, 383014, 229124, -214150, -30450, -147241, 0, -263784, -215036, -53707, 15302, -50602, 83792, 0, -121108, -278399, -294552, -59718, 178264, -114616, 0, 201404, -127432, -17752, -141302, -74716, 34464, 0, 84080, 261746, -139004, -509242, -213438, 196820], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 910338
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 21, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2303.4.a.f', 'source_level': 2303, 'target_char_orbit': 1, 'target_dim': 21, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '329.4.a.d', 'target_level': 329, 'twist_class_label': '329.4.a.d', 'twist_class_level': 329, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 910339
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 21, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2303.4.a.f', 'source_level': 2303, 'target_char_orbit': 1, 'target_dim': 21, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2303.4.a.f', 'target_level': 2303, 'twist_class_label': '329.4.a.d', 'twist_class_level': 329, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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hecke_orbit_code 22517998203963647 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '2303.4.a.f', 'level': 2303, 'portrait': 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wSSBN9PadVTOn2Pk0sQag9tDJftiOj2U+ZXHKaaLhftSNiztUejHiKkIYoE7X6N5bbHVF3gSpf5JY8jZwUnFhJOrSb4tT5vuKHH228CX05y6GSLU4uKczlzLxuOrBheeeUyP/f+dXZMTXJyfppzqzWW111W1iWr7YT1dsx6N7Xnsh/wg+9q6L//1is+tn125kd7g7Aze8G7v9WQ+Cs9/lYDfGOjzcKGoeHzC4uLh161XX5YPnZg41XL6/POO2+uc3x+KysbdVbbHqtth9U2rLVT1toxqxspCxtwdFUwN7vBv/vAKjdeWuf04jTzSw3mVxwWVw0LKwlnllOWugmT00NefXWPmy8DT9bwlc/iWsC5FYeFNUE/hCTRBJ6mEaRMTSRo4ORCQqcHe7e6NGohxggQHr2BZs+2kNUNB4yVIhs9CBMwGNbaETu3uHQHCqEMQoe0Apc924ds9AUn5x1S7TDTkjQDge9Ckgj6oWRhTXJu1bC4nuD7Q3ATbrmix6uuFMy1aqyutzi96DO/AosrCYtrCWfX4Oiq4ZVXrPDvP7DOtskWpxamWVitsbzusdKWrG2krHdi1jspa13NUkdyeDHlzTedYrK1Mzl8ZuuDv/PB79SXXbr/QSGTnxkOatTqzW81VF728bdWg99/z6e49LLr+fmf/Rcf/Nin7/5ff+1Pv3bxmZXTFyyursirLoy5cAfEqYvREmOkBZWRgAQEQhgcYfAkzK/WePSI5Op9a1y2e0g9ANeReK7C8xwaNUndlfR7LodOBHztSY+TSyGdJObQ6ZCtM2u849XrXH1xl1de1ubESsJKX1D3hxybN7Q7Da66SLIxTDlwQtGsO7xwEi7ZYRhGKcPUw3Fipppw8LSPclJcmeC4MAglN17WZ9CXXH1xSmeQcnK+yYXbFI16xEZo2DLZZ73X4WN3wdPHU549PmTvjlWu2d9hajribbd0+a7bDPu2NUnjSY6fneDoGZfTC5ozSzFnllKOLglObcRce+ky/+4DXbZOTnJ6YZrF1TrLGx6rbcl6O6Xdjdnopaz3DGs9wUJf0R3EbJ9us3/Xsrxk5/oF+2aOXBgOxE3C3VdrTUx+/WOf/CQf/9jHvtWQOe/jbyWD/8bvfpInDm9Vb7/55L85O7/8/7vn4ePqxVMhZ7qSwSDmsgtX+E8/tsJ1F9dZWJ1idaPBWjtgre2y1nFY78J6O2W9k7DWTVhpw+l1gVMbcuuVa3zPbREXbmmw0WuxtFZjec1jpS1Ya2tW25r1rqYz0HRCQ3+YMNOK2bNVAwLfNZxZchHSZ+8WxYU7DDu29FlcD3nmcJNXXGKo19Z5/sg0zUZEFLnMTGkGQ7h8z5A/uWuS/bsTwtAwOyGJ0wHNwOeFE0NqboPrLk149ljE4qrHzhmfC7fDnm0RSsWcWQHPNQhh2Ls1Yaop6Q58en2XTt9lraNY24DVtmatnbLSTllow+owZc/OHt9z+wq3XuYQuC3OrbRYWQ9Y2XBY6wjW25qNrpUlG13Dag8WeoqFjYSb9p/jl/6nFa7Y47PeabGw2uLUwix9fUE6OT39wXe969J//8KTZ9KrXvld32robHr8rQL4S4cOUasFtTNnzuy558Hn3nf0+Px/WFg8hxCS1Y5hqStZ7EmWejGv3LfIr/zYKtdcVGdpfZLVjQbrnYC1jst6x2G9A+2uZqObsN5NWOsYFtuC+Z4B0ePdr2nzths1F20PiKI66+2AjZ5Hu6tY7wm6fcEwNESJIU1BSYPvQs03TLYMW6ZjHHfI0XMRzx3x0UmDt9wU4bgbPHFgggu2w5ceTXjNVT5L7QGBo0jSmOkpSGIXx01YXa3z6us7fOmhJhduh8cPh7jUefONmkQMeO5oyvEzAY702DrlMNUQ1HyB5wmUgERDFBuGEXT7ho2eptvXbPQ1qz3DIE3Zu6vP225u8+5XRaCbrG5MsLRWYzUngzZsdFPavYSNbspGz7DWg3NdxXIn4ZWXLvKhH1viygtqrLYn2Og0WFmvsbTuEcea7du34dW3/2x96sqP79ix81QUDgcXX7L/Ww2l4vG3BuBL5w4xt3XWe+ngsR964cXDv37PA0+JlbW+1BqixNAdaNp9wdpAsNSXLHYjbrxkmV/64VWuvzhgZSMHuc9G12O967DRFbS7hnYvZaOb0O5p1nuGpa7gXFszNdnnja/scstlCXu3Klo1l043wHcloIgSidYCbaA/BIRmqjnk8FmDNhF3Pt4g7Ne4eKfHrVf3ifUG9z45yXWXuBxe6NFeb3Hz1X2+/oTP1mnDgZOGH39XhwMnfLZOS772pOLWyxVr/Q7HTk9z3aUR9z43IAnr3HKFx77dQwZJj68+oSAVHD3j0Ko7OAL6A4k2glQb4gSQGsfTtHuGRjNm9/aQV13e542vSJhpBCyuTbC6UWO9Y8/NekfQ7kG7m9DuJbR7Ke2+Ya0vWegKVroJN+1f4oM/vMI1F/msrE+w0avT7ga0ux6dgUMYSeIE4jTQW3ddZXbu3vdPd++9+MPrayvR9df87QD53wqAp+lQpnHvHccPfubilTXvQw8+9KS7vCHpDTTDUDOMUnpDTW9o6AwE7YFgaSA510645fIlfuGHl3nFPo+NzgTL603avYCNrsdGz6HdVbT70O0ZOv2ETi+lN9C0+4blnmC5B3Eacs0lA7ZNp/T6hrfeHHLBNk2SShxpiGK455mAU0sB26cSnj8agK5z2S7F9fs1ftDnicN9llcaXHlBg9bkOg8963LDJQGr/Q3W11ts22Z49IDi77+ux2MHHHZtcVnptVlfm+b6y/s89HzKdG2SKy/usdRu8+iLk9ScBq/cb7h0zxBkj2eOC7ZMxywux9z7jMswVkgJqTZcsD3ijTdHdHuKHVOa6y+BKKqz1q6z1vbZ6Ll0+op2T9LpQaef0umldPspnb5mo29YG0jOdgTtQcitly7z7//xOq+8xN4cnW6NTt+n03fp9B16Q8VgKOmHgnY3ZXEl5Kprbog7ifOv/sk/+M4jE8365z3X1d9qbH3LM5m9/oBuL/nAI48+/aunTxybroseQeDQSiRCSKRMEcIAINAIDFIYlDQo6fDYS1v5md91eNeta3zv69a4cGfEwmoL36tR8z3qvkuj5tCtSZoDl4mGQ3+Y0hukbA01g9DQHfqsLQecOW2IEs3ZhQTfN4DAUwZHCvoDhcAl6Ttce4Fg3w7Dnp19wrTLlx9THDwyxZte4XP95et85MsGT9S5YGefZx9S7JxUzLb6BKpGFLssdaEROOzaKnj6YMT1l9a47boV/uALAzy3yRtuMrh+n288GvGlRxq8eLzGRTvqXLA9ZW4q4sLZmKsuSFFK4ygDGOq+z9ykTxS7dPsezx926Q0d+gNFbyjpDaA3NPT69rN3Bym9gaEzMGwMYLmvWFw31Cfa/MRblvl7t4Zcc1GDcyst2r2Abt+n27eOTy/7N/tDQX9o6A8N2gjufeAx97L9k7966ujOtf2X3fi/DAaDP6jVav/jAjwOByD4x0cPPvILTz529/Rw2OGiHQpHWa2rtQAUQoAQafZsO2mUMCiZ4knJs4fneOqlBofnl3jXq3q86oohk80Wa+06jU5Aa+DR6zv24gwlg6FDP3QYhoZhpIliQxwbktQeUeJhNEglcB1B4Akmm4KpJmyb1eza2md2qs1XnoD7nnKReoI3vcLl2su6PPBiTDRsceu1gvZgwNJqg1su1cxO9qk5PsNEsdyJUVpw7aUO9WbIk4cCXnv9BDdf0+XJQwrMBK+4wuMfvX2Nrz8d8bXHGhw4FbBnTrFtusZUs85EE2o+uI5BSdAGDhwXpKkgTgRRAmGM/YxhyiC0q2F/qOmHmt4AOiEs9yRLXQj1kNdft8Y7XtXm+9+gSZIWCysNOv2AXt+jO3DpDRTdgcqALRiEhv5QE0YpWoOjoLe2zOc+/7Xp6+bT/+ONr3+N0+31f7fZqP+PB3BjVoDoHy2dvPcXVk7fu+WCLUOMcdHG4LkGrbHWHwIhFEIIpMSCW4JSBkcZXKWpuYKVfo2P3rWLbzzV4TVXbfD+129w1YU9ZibrrG7U6Q58+gM3A7ayRyQIY0mcCJLELvW2dssGlY4DgQf1mma6GbNzS5+EHofPxnzs3oBjpxtM+jVuuMLhlqs7PPpSmzsfbnHTJQF7tvf5k7sESvi0mjEbvRBtQAmYa/XpdD10UuMdr1nio1+qs28x4G039YniVe59boY4Dbjxii287YYOl+xu840n+zx7us4zxz12TUumW4K6L/BcexPK7ObXBrQ2xEl2s8aGMLY38jCCQQTdoWA9FKx1QThDrtu/wfvfuMFrrkiZadVY79Rpd2t0+z69oUtvUK4E/VAyGEI/v3GGKcNQEyX23J1Z9jh2do0nDt25ZX7N/MLb3vwac/hU+/cu2fOt6ST6fx3gf/Inf8xnn2nxkx+87wev2HP2Q7df8ujsTDNCmBb9oSaKFSoyCGTG2MKCW0iUdJAyRSmRLc8a1zH4jqHmCNaHitX2FJ+4p8Ejz/e49ZoN3v+GDa7b12YmrZEkPv1hQG/gMggdolgRJ5IklaRaoI0oJJDvaepBgu9FeG7I2dWQLzwuOXLG4/iZKZT22bfd4/ILFa+4rIPyl3nuaJOdk3WuvAi2za2z1mlx1U5Jog1fecwn7EsmGwlvvnHI5++NObXQZP/FLuc2hrxwzGX31imuuXCZB57t8tALgjDyuOzCaS7b7XPZri5Hz61x5Cw8drDO4WMN6o7AdyQN3xC4IKUNqoyxN2uSQpRAlAp6oaAzFHRiiHSCNkNeeUmH97+xw2uuStk+7TMcTrDaDuj2fHpDj/7Aau3+UDEIBYOhZBDavtFhmDKILLjD0DCM7UoYJdALBfOnO5z7zFe2XHHBix+67ZpWYsxvfOQvPj3Nu97zvX93Af5nH/sE5068yHtvuOT773ns1H/9xd98aTL6nkXee5uLlArXCRgMHZRSKKlQEqQUSClxlLDfVwJHaRyV4joCz9F4rsF3DXUvZTIQdEOX9c4Un7qvxV3PDNk61ed9t7e5bPeQ4aDHlRcadm9ThLFLmipSbRNFAoOUGtdJObloOL4g2BhoPvtAnbMrU5jIZSpQ7Jhx2LvN4aKdcOW+Dlqu8Nufb7C2NsFNlzlcua/NN54RiMRly5SkUU/oxx7SSDAS5Xi0h4LFNcEVps7tr+jy4JM1dsx63HTlNP/w7St8+EtdHjvUoDd0Wd1ocuGOGvu397nx0i7veW2X+bU1PvuAz2rf5+Q5l7NnPVxlz5VAoI0h1RBrQ5popmZirr6iTxjGXLY75L23h2yZUEw3feI44NxyQH/g0Q/tKjcogC0tuEPBMMSuBGHKMNKEYcowMgxjQxgZBhEMIsHaQLIaa15/wRG2O4dnv3L3Lf+1m1wSnzp17E+/9IU/521vf8/fPYDff9cnefUdV4hP/3ny3WfOzP/O8sLZeqfr0h1qakGfNHXRGqTwkNJFCWMliZRICUrKDNwW7I4jcJ0UzxF4riZwDbXYUI8ME0HKVE3QjyTdqMHxMw1+6U+nQSeIJOEVV/e5cFtEkoA2GmNsEkcKgVQCx/U4dMrjwJGARuDQ9CSzdcHcjGTLtMOOOcXe7Sn7926QilX+26dbnDw1yU2Xulx2Qcog6fLwcz6TNZeZCcNkM6Jes1JIa0l7qFjrGVbbKe1ejVdfucHjB/ocPKWYbAXceMUkP/yOVX7tM/DkkQa9gWGj67C41mLbbJ0tU0P2zgz5F9/dp1Vv8+xxOHRa4roGpQxCaMDY/wwkCVywLeXWqxLS2CVOfIypM4xcFlY8BqFd0YaRKuTbIBIMQ8EwsqwdRjYrG4aaMNIMY519zwJ8GEE/EnRDwepQEMYxM42IVsPn5Kn5yVjUfmfHzt3JU8d3fOIPPvJx8w9+8H1/dwD+8b/4NR48saj0XQvvnq23PzKsnQ1uvX7A0XN9poKIwI9JtUdqBFIapDQo5aCUsUyuVKa3Ja5jNafnKkJXEkYaP0oJY0Mt1oSxJooMrQTCWBMmECWCYSwJU584DTh4pMEzByE1Bgttq41dCZ6yNR9NH67cDq0aTDQkU03FzKTDlmnYsy1k+9wGsVnjv316gqPHJrj+IsVFuyT7dq1z9wsJi6sTvOJCyVRLE3gDfOljlCBJJcIYkjRivRewuOpy/WU1rr20ywNPBmydEtSDJtdfqvmJd6/yXz+jeeFsk42eZqOrWF53mJ1sMNWqMdWaoFWPmWvE7L0+wncTXCdBqRSZOU8Ge1PFsWJp2SFOFHGiiGJFGGfPkSSMJWEkGUaSMBI2QI0EYWQII3tewyglinJNbwhjq+uHsWAQQS8SrMeSjdggoiG9KOLwUswjBwcsLB6p794bfeSKy9v6Pe+MPr31q7+Wfsebf/zbH+A/+8sf4/kjTdXtL7z3G0sH/uBdN7wQ7Lq6RqO+RrMZsWMuxXU0dX9ImsrSBlTaWoHK4DoGVyn7HEk8V9iL4ApCTxHFFuhxbIiS1LoiSeVIIUkNaapJNVZvawpwCwFKgiPBdcF3BIEvqPuSRl0xUZdMTQi2TCfs3dan2djg0w9G3PvcNBsrLa7eo9i73eWS3UNSscFXHqvTcB3mphTN+pDnjsKLxxyu2m3oh4prLom5ep9h4VzK8rrHYFjnLTd0uf/ZAYfPKho1ie+1uOoizb//wVXueWHA5++ZZbVj2LslZb3tMNlSTDRcmnWXRs0Q+Brf0/hOiqOs1JLSXgNjsAkrLUi0JEkFSSKIE0mUCOJYEsbWeYliYbV0BGGcEsWaqEIcYZwfmUuTgzsWbMSSdgxxFOLoiMMnJL/9GcOnH4hpei7PzD8f3H7TzB9tLFz0D159xfZPnjv84XT7JT/07Q3wmkpkGC1/78HDi7/x8HMrwcFjHpds6xHGim88OcHsRMrJ+R7ve92AyaZBSY2UGqXSLIhM8RwH13HwI8XQzdjGlUSeIIqFvTixIk4giqV1EJLS9ktSTZpadyE1mVOSuSW5O6OklT2eI/A9SeBLGjVBq26YbGq2TofMTXVJzAafuF/y4S/NsCUIuHqPYM92lwt2aPZuX+fTDxvW1gIu26aYakGzHrN4QrK07uNdCGEsmJuQTE7C4eOG9Y5mYSXgkgsCXveKLl+4L2CmCb7noeQkV+0T/MjblnDlEp97YIoXzwZs7cRsmUyYaCiaNUW9Jqn5Dr4HvguOYx0mKUCKCsixN3aqIU0FSUoGdIhTGyDGcWpJIbbOSJwBPIohTHJXxoJ7kAiGsaAbC9qxoBsbkmHIhN/me962yrtv6zHbhP17zjKIXC7aprlh72IQ9eu/sxI3HCHcP8PyzLcnwP/oT/+CNE1/8J6HX/iV0ydOt+punU/eU2MYRpCmIDUkMfc/U+fc2jo//p4BU62EwLcZR8dJcR03O1Ii18GLFWEsiVybSreMIywTZayUJBCnkKbWSdDaBlxam7yHMwO3BbjV9gLXsQAJfKgHmmYtYbKZMDc5YHZqgwcPRvzRnTUOHZ/kggmXfdtg1zaPXVth/54O/aTDowda1JTL3JRisgmTzZCpiQTPcxDC3lyD0GOtE7PRN7R7CUvrHnu2Nbn5siXufKzPobMt6n6MqzyEmGDfTsUPvGGFV+5f4o/ubPLo85Os9hy2tBIm6wn1QFILFL4r8F2J69pYRSky+9Ci3GB7WLWmAHqS6mx1y6zFRJOkFtxJbMskiiO2rswwA3Y/FnQTQTeB4SBBJwNm6l3+6Xet8r99f49WXZLGDjdeFpGmKd1+g+W1Fsvn5lvCq/+32tQ13jOPfeHD19749m8/gHfaXaRU//gTf/7pX+isnZuZm5B4rsZ3JOtRQD+BYWpIdMpGGPArH/M4cHSDd7y2x+3Xddk6G9Ht1hiEHp7r4XsuYeTgx9beizwL8DiWRIldduMk87RTMuuPjLkl2lCC2yYpM+a2CQrXsf574GlqQUIzSJhqhWyf7bDY7vPrn3X5yuPTrK03uHhOsGeLYOcWj11bBBfuGOJ4G3z0XodjpxtculUy1ZRMNFKkDDm7bPAdiRTW249ih71bOjxGSqevWO8YFtdqXLor4D23t/nkNzxOLPq4TowQLto0iBPJKy5cZ+/3dfjKk33+5CvTPHGiwc4pwWwjpRGkBJ7AdwWea2MVR2EDZymKmgyDvcm0wTotqQV8DvIktZLOgh2i1Na6RHnyKBEMEugmkm4Mg1iT9kN2zXa47foN3nlbj7e+UuOJOuvrHnHikiQOYezRH/p0+wHrHY+19vLM1t39D73mju9UvW7ndxvN1rcPwNc21tCCf7h48p5fGKwf2jLdUhmTaiDFlZJ+LOgngl7qMpCKduTy0bsD7nm2x/WXdfi+N/T5jpvazE549IcBg9DDd12ixCWKnSJQShJFnEqSRBKngiSRpKkg1aLU2lpQqBJjmVsKmyxSWbLIczW+l1LzE5q1kNnJHoN4wDeeM3zs7gkefX6SKc/lqp2G7dOSrTMeO+Yku7ZGXLRznWdPDPjs/XNMKIe5CUGrIWjVY9r9lC89HND0DEJYYA1Ch3fcGvLFR2xNTLunWVp32LWlybte1ePRg10OHPZo+AlKCgtyXWcYWa3/A69rc+n2JT56T4eHXpzk1HqNbS3BRGCoe5rA0Xgu1lqVZAky+7nz8iOdSTWtyxUuyYBuCQLiVBCnGbBTwTCx16ybQhhpkiiiUevxrjet831v6HD9pSlbpx2GwwadnkeUuMSxQxS7DCOXQejSzUp7l9cVzx0/sGVlMP0L3/OuW/Sgv/L7tfrs326AtztrrCwPcVAf+LPP3vvLhw59eUYlGiEVngOBZ/1ZgcFVBj8W1FJ70vrKY+A5nOn4zD9S55Hnenzyqi7vfX2fN9+6wfSkRxT6hIlLFLvEiUOcAT1JFUmaJWzSEuDaZMyty5oyIUwWVNo6DsfReG6K78XU/IhmbUDKgK8/KfnTuyZ5/vgEIva5YMqwfdIwO6mYm/bYNivZMRezZ1uH08tdfvPzDZKwxq5dgsmmQ6sBrXqMcCM6gwaTTYMQAmMgTiTTviLRCd3Yo9tPWe8ozi7XuOKiJj/6nRt86M98Ti43cFSc3RgOSRIwjCTbZnxecXGHqy/q8cLJs3zs7hp3PjHJfLtGw1c0PWi4Bs8xuAocadP5QoxW12nAaHvTpVqQGkhSYf3zVBClNkk0SAWDFAaJIUkSdBwyEwx4y+s3eN/rO7zmqoSJmkMUN1hv+yPXJ8qOMHIYRNaKjBPblGL0ORbP/vmWpTODX27MvClpry//oVCSVutvbibL3zDA+zQna+987oVHf+2Jh+5uPfRiyPZphy3NFAS4CnxXAPaEKwluAp401LIT2Vc+/cRlKQz43KMN7n2hz41f6/HPvqvL5Xs6bJlUtOoOUWwZIklKkKc5wLVEG4kxVhKYIqDMUv3K2GSRk+B7Ca6K6Axiljsx/+XTAceXpnjywCRGe8zUBFtmDbMTgpmWYmbSZeuMZNtMws65PjOT63zlKc0TL05y9S7BVFPSrEtadU2jFiHcEN93cJT9/cZAmkoGocNgGJNoQXeg6fYMax2XhdUWt+zvcfMVG3z0awG1NYUjYwtI45CkHlEsGYQus5MBr9zX45UX93jstnlOLkv+6M5JljbqnFn18ZSk4Qq8XIZJG3gWRJ5LFSyTJ0aQaIi1IExhmECkDaQJJDFSheyYGnD1Xns9brg8pVVzSJIG7a5PGHskiUOUXZM4l5OxIkoUYWQdL2OgWTfcsl0yOzXgzq89NLP30uav3XLTNeuDQf+zf5OY/BsD+PMvHGLXjp3q3/zy71zcW3uxFQ032DNVx3OspgNwHPAMCERWDWhwZQb8BPzUUNeCgRL0HZ9B6rIa1bjziQkefHFAww/5B29ts2sm4YIdA265sosjbIuYEFaupFkLmzYiq2XJwI1BSIMS1jM3JCATXjguefygwxcebfLCqSZRUqfpKOZqhumGYapurA/ecpiecJiZFGybTtgxN2D73Dr3Ph/y21/YwvZJh7kWtBqKVkPQrCfU/JAHX1IMIwe3YUFljCBKJIGjuO7SAY88N2kLnwYpGx2XlQ2fxZUpfvRti5xZWeWRp+dwJSBiNFgAxS5hJOkNHKaaAZOtBjdf2ue2q/t83x3LHDyt+eKjAY8erPHSsQaJcAhDRT9WKCGL8gfIA88sJ2A0iTYYrXFFyoQXERBz8/U9Ltw+ZNdszPvfHFLzJI2aSxTVaXdd4oyxo8QlSa3nHicOcaqKGMk+25UWbMwTxj4r6z7LKx3c4AuthS0vXrx7/4+rc2ePpNt3Xvy3B+DPP/8iO7bPeQ8/8tgPbWt5v3Ln4zGOrNFs2CAnTx3ntCElyMSC3FEGJ4FEgZtauypQgnoqGGoYpi7D1KWfBnS7Kb/80SlMErN1bsgVe4bMTCS893UD9myJiGOR6W0JFeYm059SaoQUfOqeGs8ebSAch5Pzdc4u1glqiglfMNkwtAJNK4BmTTBRV7Saiqmmw8wkzE4mbJ0ZsnNLh9Rs8Kn7Wwx6DS7ZZWjVFc26pFnTNIME1434yiMBYV/ibrHdorlEadQUb7lxwH1PaXqhpDdI6fQdNroOC6t1Lr+wyXtf0+HJF+qcXGuipAbiTC+7xKl1k4aRpDd0aPc8mrU6jVrI5buG3LR/yOmlNifObeC4Kc8cc/jk3XWEsoVrCDl6EY0GNBhDHKXs3ZrwvtcNmG2l7N9r2DoDaeISRk2SxHZNJbFDnDpZHGQTSEVMFMvsezYusp575sGnIquXUYSRYcu0h4w0x05N/0onfrK/ZftFHz565FC07+L/+00TfyMAP3fuDOvry5eePn3m1w88/6TcNq1sNWB+7owtfU21QWVJFSUNSSpwEqsT49TgplYDxqkh0IZ6Koi1IUoFoZaEqSTSLrGG5V6Lu5/VGFL+4tEYIVJ7kYy9SJCZJdYLzCoSJVIpkthBagfXkTR9uHDO0HA1dV9T96HuCxo1SbNm5dBEUzLVgpmJhLmpkB1zXVLW+S9/HvDAc1vYNwNT9Yy965JmLaFei2jUB9RqdXwlUTLT4Fg5EMcuw4FgEKZ0Q0VvqG3XUlex3vA4szjBq68I+YnvXuRXP+lwasNHCI0xMTo1xIlLFEuGoS1jbQ4cGoFHvRZQ9+sEfkyzFvGKSyI8N+aGSxLe//o+jkqyJJC2dfZVUZ5JOq1tLb7vKsBjGDqsrju2bifNY55MFibSAjqPg7LitbjibBWJpVRUDIDsMhkBA0WSGl46+aS88mr31zfa/fujKHz+bwKb/7cB/tiDn2ZqStaOHDny7rMnj4jpSZcwEsSxJtU2c6iNscyTClJpkLrU4I6yEbuTRe95FVyqBYk2ZWSvrT60hyDSksRIUu0Qa580s72qjyJLKcARwmYqFQQ1Q+AYApXiu+A7EHiGmi+oeZJ6TVIPHAvwhmCyqZluJcxMhmyZ7rFjyyq//QXNn9y5ld2TitmmptVQNOuKRh3qtZRmLebcquboOZ/Asze0vdntZxtGDhdu02ybHdIZegyGJmNxyUbXoVkLaNYnef/rlzh2boHf+exOHOlg0KQ6JdGGOHEII8UgskVR/UBSHzrUfJean9Lu2hjDc1NcJ8V1UxxpGyWktOl8kR22dMWWJ1uQC9o6q7LUNq5JU4nWkkSX8Y5l5PJ1mmZuVloCO2dt++f2+hVevLHfi2JBb6C5/6GnxO497Xfv3LX36If/8BODH/rAd39rAX7fwYE3XVv56YsmTv90qzaQaerQH2JBnkjS1GRAN2hpSBSoVJAqY0GtwUmtX53myQdtsr9H5TBlmj2rlLNerigCparmBrJMng2sHKlxJFlNC7hK2FJb12YvA18SeJKar6gFimZN0qwbJhopk82E6VbI7FSfPVtXefSlkI/es4OpwGdrU9OqCwvumqQRaBpBQrMe8ugheOZgnYvnTKZ7y7T5IFTcsN9wyZ4Bjz0/ST80DIYpvYGTgdylHtSoBZN8z2vXeOalJR45sA2MQuvUEkFiSGJT1JMMQof60FALFIGn8T0X30vxHZ0lzWyJcV4GIaUti0BYZyunhTI4tyXEOnekdM6+FSs2c60SnQFYS9LEklGajoFbly5Ncb0zz30YaQZDzUanIxe6Z//NlZcn3o1Xex8Eom8ZwNudoez1+z//px//rf9lr3fcq/mzRLHBGFuZp5SwCYTEypNUGVRqSJW2J0gZnALM2c+kea1ICXBt8sybyVYDimSFMYZK5n1kxc1T1XlCR8ksY6moFG3Z7J/vKQJfUfMF9ZqgWTO06ikTjYTJZsjMxIAdc+s8cmjAz//BVk6dmeSiWc1kHVo1RaOmaATQCFJqQYznDmkPbbGYqwxSlu8s1SJbxj1atZh+oulnddb9YUq3L2nXFPWuT+A3uWBbzL//oTb/9iOShw9sxaDQRpOmmiRNiBJbRz+MFANfUgsVgSfxPYPvKXxH47rW73dUVuejsqK2TKYIYUYbdLPUvslIxGS1LGkG+DT7WmvrCiVaFCUAFvCZ9Vhh7TQjsiQDdu65x4kt5LKNE3DkpXlvccn/V6++9YfdJBr8rOPV/trp/L82wHXSxpjhBw89f98/9+LVYGVjAiEMrmvwtYWakKASQSpFycrKoDNwp9n3dP66AuxyCbPPRtu+vzQrAa0ejAE8k91ZYEmm+wVKWUnkZK1oriPxPTsAKPDtSIaab2gEmmY9pVWPmWhGTLcG7Jjb4JGDff7th2c5dGqavdPWYWnWJI26tOxdM9SDlHoQE6cRf/y1JlIpXGljj4LBTb6Eu/zAm9b56hMR3cinnwG8N1B0e4q27xB4Pr7bYv/uhP/wj1b5uQ8LHnp+K9pIUm3T6nFiC83CSBMGttzV9wWBK/A9m9n0HFNkbB2lkcrKRJmVJRcAL1Oe9jqbzGnRWWCYAdwURWv2muiKtk5zli5AnpcFZNc0LVfpJNFF7UuSaowx7JxRPPjwYpBy3//85je+Tiwud35m69xfL9P51wb4C4cOAfrmsH1n7coLh7S7deJsfoirBMa1y7KS9oOp1AI9LdLDObhz+WG/p4taibL9SuuMRYzJWJu83Bkz9r5ygOc1GHkmL2dvx8nrTiSuK239hicIfNsHWvdTGjUL7lYjYrI1YG6yzaMH+/z870/zwslZdk0JZhoVaRI4NAJbv1ILEmp+hOuGnF2dwlUCJXVmy5VBZppKkkSxfcqQJDGdOMg6ZTSDYUp3KKn1FYHn4rkBrjPBZbsS/sM/XOZf/x488uIWUi0twFNDnKQZk2tCXxNEkqGnCgnmuuA6VqLZOhWDI8lkCojs+TwYt3KFLCmEKJJDBbizbHGaVr5flZeFHDHFSpzmNTCZ1Mpb7IwBk8JjBwYcW3+wdu21O2+urn7/rwD881/4MoGQ9Z/8j5/3Zlob/Pjf6xMnHoNIITPrz2Tj02QGslRlHzQDutaG1KEA+yiwTYW1S1CbLL1szGZg5w8pyiIqmXUE5eBWUmaNErk8gcAF39PUAkPNt/q5Xotp1SMmGwNmp9o8cXjIz/3uFM+dnGPHpGKuoZmoCZqBpB4o6jVBLbA3h031RzxyQNAbegSKojNJZMmVPNCME4dGoLjlyi6PvtCiH1uZMghT+gNF11f4nsJzvUw/T3L5bs0v/vASP/Vb8NCBLcRaEmudNUuXPZihJ/E9bdnbLevoHZUfZDKllHEyy/KeD+R5UsjkAKfMglqdXhZw6SI7CjozDrQ2BZEVBFetgdGl9OxHMDQh7371SZz2J7w18w/qDz94Z/+WV73p/3mAHzl6ip07d05+7nOf+c19c8lrj55q8cX7G+zf62dtX/bEQQYyYcplS2IZu1jSQCtxftauAFoXwC6bgsm0d3ExhP3dQua/VxTgtgAHlVUMug54LrYTyMsKrPyUWiYvmrWQieaAqWaHp4+E/NzvTvHMiS1sm3SYq2smatAIBI2aol5T1Av2Tgn8hGZ9yL3PeGy0A6amyjR5DhidadM4VWyZUbz+2h73Pq5tF02kKyCXBK4kcB1cx8NxakipuXy34Rd+eImf+i3DQ4e2EGuHOKsAtGWvlsn9WBbVhZ4jcZysCEsKlJOfG4r3l9+EuVQReVUaZUJo/NCVZ12Jl8qVt7JaG1OJrUaBrjOV7SjB3AS86toGM0Gdpw/UX7tl10u/95o3v/PHFhdOb/z37gr33w3wXuccx4+u/NTq8unvrTtdrr24hqMk3Z6hFljLyVGWCaQ2VpZokens/C4XaFXqbDuhKZchmeY2ZjSQHGduU95EOcjz/IWs1HgrVdqRjsLWZzhZrODZSbGBl1ILEupBTCMIadaHTE+0efKlkJ/+rVmePraVLZMuW+opE3WTgTtj70BS8y37B35C3Y9IdEg38hFK4uYMXmhwkbFbViAWuzS8oS0XiAKmcpAPU/qeZXDfk7iOg+vkG9AarrrA8KEfW+Rf/obmoYNbibVDmAqiVGcsLghije8aPNf2rjpZ3GH7W0XWBmjPk5UporIC2rNa3JjVWGcM3AUJVYipCu4c7OnYSp1WnvNrLCXUfEkUujx7RBFGbXb1jn/v3JZnjsZx/K//H2XwsHsKr7Fz74N3ffjqmjzH7m0uBmu3eV4WlWd+r5QWqKr4oKIAd1qpSc5Ho5lsSStPmKgwRZmVNNU1M2ftalCZL7dZh47KginHsQVeblaElFcPBm6a6eaYWhAy1eoz0ejyyIGEn/ntWZ46tpW5CYe5WspEYGhm4K4F1k7MwV3zUwIvodWIOHDCcM+TDTwpcZXOgrhSR+bLd5wqEu1w+ytiLr6ox9FTNebq2D7HyHau94cZCzsKx3GLEgchDFfuhV/8kRX+9W9p7n9hjmFcs8mwxFDParh9FwtyJ1+9dCZRJFKlxQqnpKgAXFRAXlkmN4HcjAK8AHe58p5vZS7BX12t7b8thZ23uLphewLS1LC4doqNwaNX/+SP//DeFw+dOXnF/l1/8wB/9JlzPHVs6gI/eeg/63jpnRP1Np7ySHQmS7KAJZ9ClYNSF7ZSBvIc7GNLWmlHZcv4uEuyyS3JmHsc3MIgVZktzcsB3Iy5PUfjuhrf1fheQuAlBH5EPQiZnuiz3u1z3/Pwi3+6jWePzDKbgXuyZmjWBI1AFF65dV60ZW/PArzmh0RpynAQECh7k0lRWfrJs4UiCzQdq+Wd0Hamx6ICcI3npXiug+tKHKVQ0i0AjoBrLhT84o+t88t/lvDQwRnm2y2GDclkamgmhiCbOOC7JvP+cyfFFOydS5Uc4MX7zd60KM55JfDMLkq5slbKb6tgN7lWN5XrXX4/rfwb+fW04y5sAVOqDZ1uSNBafedzzz+Q3nLj1f+zMadPCPFXkyp/ZYDX5XGUU7tpZfnFdw86B5hu1Rh4MUlqkwEjN3oejJjSSsqj61yS5IN97NKWJ2xMIUPOB+5xVVjMTaEaLJlMnpjKcCBbFus6OhszkRbg9r0M3NM9ltcH/MIf1/nsw3Os9KaYm5DMBRm4A6u761lgWfMldd9kDG61d+BHQMRdT3usxx4zPiP12IjRFSpNbfNDy3d43fV9HjkU0Y19JoqOdY0X2lp1z7EAd5RBSRchbYIGA5ftlvzqP+vwxUcGfPD3t3JmZYrBpMOkJ2gmmnoCfmxHL3vKDjRy80BTiiIILsZ0VAL16o0pRNErUrJ4ca0qYK8YA0Xd+RiwtSkPo03x7xS3T3aukhQGkeSRpw5z6cVb3j3RbPxxpzc48TfK4HHUw3Hrl6yevfsno4UnCSYg1TGOo7M0rSiq93JJoYu6hkpHTQ50UwF6IUGqmluMsnb1g2cnOmeWPN2cuwAqB7gyONIC2/Z2Zv2dbornJgRejO/FNGsDHKfPvc+k/N6XWnzhgS1EusWWlmA2sLLEWoC5T66yQ2TMXWXvGMcJefDFSfqRw/Z6/n7GGTy30iRxoghcxc2XD0i0BfggFnbWSOZtD0Ntg0NHZCyerZZZct0gmJ0UfO8dPZr+PL//pQH3vTjDQlyjH0haiaHhGAtyJ4tDlMniEpOBPD+HoqwdlyApWbwqWaqXpGBzRlfe6jWtAttU5cqYljfF+cnLNbLhRYnLRz9/gJ27LvvJ7/7OVz/V6fYPt5p/+Ui4vxTg9z52lN7iF0mZ3DHsvnibrxYIGh5pmmYjCGyhTZnZKsGutSju4jTvrKmAe0RrQ+UGyYFQsR6q9pUwY9Ikz8rZikE72k1nNd8ZuJWtxfDdGM+LCdyIen2I5/X50zsdfukPt3B0eRrXD9jWFEz7KS3f0PChkXXY13yb7QyyhJCtX0mzlcDKk5VOSi/y8JTCk6YIMKl8lPzGTrOajShxqblDtk0O2Og3GcSiGM3guRrXTTObT2V2p8rkYDVwtZWP73xNjxuuWOYX/2jIn3xljrWkQd93abiSlmNrcHwHPEXRDOHkSZ9s5ZOFVCkTQFVSGRUr52PzvMl57GtdZfZRcKe6JMaiZCMVxNp2E4Wp4tyZLl9/+NBtgzjdceZc97AxLyDElf/3AJ6kKU/Ov+4CM3zst6f1XVy4pUuqfYaRSxjblqQkcbIeSFlmt7JpUXZp0iW4s8PoKtOXksaCu1LqWnmIbOkq7UBT6m6ZT5zV1osvmDvNQJ7gOVaS+F6I7w44sZjwO19s8Jn7Zzi2OEWr7jIdwJSf0vRNlnrPwS0zcMsiKRRk2tv37I3TaoR8+kGHwydrBNkErqJdjBLlxRgHkxUnJQ6X7YW339Dl9748Q6/u0IrtQB0/yuIGpXEcmY2towJyt0Kr9rzvmZX8zN/vc/WFZ/itL0xzbGGCtaRG33VoKEE9A7onjb1xMpepWP3y85rbh1h9XmY6R9P6Fee2YPJiNa6AfJzJR2qJKt55ojNgJ4J+KuglEMUaESc8c+BB/sn7t/32B95z5Vsxnb9UqnxTgG/0QibqHn/42Yd3fenuQ/uefFrzA29VvO/2NtunHcKwxjDKO2sqXTXaVp3lF7GoZSgYu2T3Iks2LkuyC0bO2DnIRQls+2zKYUFSZ65Jzt4prpPYzh0nwfdDPCekm0b8+ic8fv+L2zi7OolWNaYnFNOeYcLT1DPmrhfpe5nVqWTSJPPOC3B7NnsZxhGHz/j0Ip8pP3Nx8qRT7krkWVhTqUmJHVoNhwt3RSh/SDdqMvAEtWwkmpfJKzeTKE7uegj1MsGrYm6iz4++s8+7b1/g97/Y4Xc+NcPKoMHACQgcRd0R1JTBT4xlc2mliiPL8oY8y7mJyRmVK5uvWwXYlJKjWL3y13kpRlYCkKfzIy0YpoJeCsNYI5MBu2fafPcdHd53R5t9kzv3mUGwS9Ref8KYIUIEfz2Ar66sQNKYu2BL/RNPPn3UXWrv4X//w5g/v2eNH3jjCt/7+g6teo1B6BMpd4TJdcbmlqVlIV+qOn2EtfOvz/tOTMUONAWwR+SJzKrkVGoB7qQ4KsVzYwIvwnMj2sOIB5+V/OmdLT51/wzDtInnecx4gklP0/AMdd9Q90pwB77E9yV+Jk1sYihzJjKAe67NfB4/Z7jviTpR7OI3zKYAM3+U6WxbihrFCtd1eP0NXT769R6HzjQYBHbeS+gavATcWONGGqWk9a2lHUhaDPehusRLEi2p+w5bJwf8y+/pc/mekD+5s8njByZYHjQYKg/XdQgcQU2CLzMbNbdXpc1CFwVronL+K2Qzdpkq5RNis642JbCr7J1W2uXCVDDQgn5qiKOYmaDD979tmQ+8ccgluwI63Z0cOXjC3XHZ9CdqaefaJO4s/7UZ/MI9vlw8d+SmkwcfnnjFrpTTgeHUusdzx7bwU7/psG3mDO9+bR+TDa2MZYpKnQqDV1hcVwPRLDyqeNzF1/nJy/9nLIPLnMmLlLIuyj2t7jY4KrUAV2khRxwnpt2LeeB5wR98ucWdT06w1m4iawHNmmLSNbQ8Td011D1DzSNjbcvcNV8SeIrAEwQeWYWezsCt8V2rv5UT8tIZONsObGIl07ejiZMSALYPUmSBlCSKHLa2BJfsHvDcqYR+7BJmM769CAs+lU/WzRM1IMc6c0q3Kq/NtvXh73v9gDffuM43nuryka+0ePxAi9Vunbb06HkOnhJ4UuBLbA+ntLvUKVHepEpkZb8vB/DzMXoO6or5UD1SI0iMlSWhhqEWhNqgkwgZ93jjq1f40I92GYaTnFueZmG1xbEzPsmhhycuvtK5afvui7/MNxke9E0BfvLUgj8cxL+h4xONnVtchlHMMNL0E8XiepOP393idTcsM1XLYnmpUanOZIrK3BOB0TKrXag2ApcMnl/4cfqunsCStXPXRBfMbQGe2oH4uZshY5a7Cfc+4fClB5p89r4JljoNRBDgNl1aDky4tpOn5pLJDqh5IjtkVnKa6W5P4OfsnQPcSfC8hMCLMCbmrid9Tp6rMTstcKXOdKwoG32rTKfLstM0VQxCl71bBa+/vs9nHo7oxS6DWBC4Bi+xLB7GprJKqcKvRsgRmWKPfBWVWdbUoeaHvO+OAW+8YZW/uL/LFx+oc++zTZbadQbCTjVwXIUjBK4UuFLiCpNJLYNCVKRh5TONfb7qtawGmnn5bZoFoGnG2pGG2AgiDanWoCOIh2xpdPneO3oIE7DWbrLRrbG8FnB2SXF27Wjjhptf8Rs1ceJyYPDXAvjXH3iJJBpw6tQAz/Vo1BIavqbmGBzX4euPNbjnyQ3edVuI59riqlRoUmmL8nV2krURYDZbicUyNgrrUqgU9pSpHDqzA7W9oTI54jkxQRAzDFMOnYUT84qPfW2CLz/eYmm9AW6A03KpK0nTNTQdTc011FwIXAvuwLUzCW2ZqawcIvtzk4FcFyD3XNuednRe89xxH1w3W+ZNJUU/mhasLtlF/XRqxzlfdWHIFbt6HDxbZxAI6onAjw2hIrP2dMbeuZuSW5ClVil89izY11pl0wfsfJJaLeQH3xLyjls2+OoTPT7+9Ton5gMOnq0TbfgkvsPQcZBK2nQ+2e8TdmPVIgjNrw/mm8oVY4RdsfL3ZSAFkgzsduOBbMqvjiENcfSQ22/occcrE4ZRgyh26A9cugPbIjcR9Ii7LzHgm1uFLwvwswtnRBQOf/LLn/v4bBwHGAP1QJEaQ7snSJKUjb7g8QMe77h9gOuEkEkVVbC3zIJLmbG1GJMko4FlhukyUhdk8sQmNawk0dkuDym+byepJmnKwip87W6Ho2dq3PNojbPrNY7ON8D3UXWHwFE0HEPD0dZFcO3g/MC149osiPNDZofKAE6muTNwuym+a9nb3lgRx5fhwIk6rhy1BwuJQlkPXujR3EnRWU9j4nLF3gGXbOnz/LGEfuLSjAWhA15iZwKqCsClFAgpR5gcKhJAV2RQ0TepiFOX0PVo1SJ+4E0hr7m6w9n1Dnc95nHstM9Xn6wzvxqQDly0dIg9BVJliR/blS/JG8pH64GqVF5dnXPbcKRJxWSWitG2RtYkoBNII3wTc+PlEVPTKVEnYbIZM78E3YGdf+67De66/9Ts93/fd//kuXOnPrR9+57zhm8vC/D/60/vQ+v0e+cPLza2Tzm0apJGzaGnh7itDU4txBx7USMM4BhcHdvKwTQh1Sob3VDuQjwqS/K0XgnrLMFf+twjzK1HhnK6fkqcGo6dFjx3TPG1R+s8f9zjxeM1OqFPGPngeqiWi68EdQV1x648uQ/sO3mdRl42a+vC/UyWeJ7C82R2A5hSe7upzSy6VucHXozREYtrktD4OI7EkwanYrON13XkIE/NaL9jlLgIHOamI6Qa0otd+o6wTkdcFow5So9kIGVuUgPkw47IpKEpW8vy3kk3VcX4iX7osW0qYs/WmFdcFDKIBvyD422eP+HxtUcCnjsecOyUT5w4GF9hpAIhSWUlG1RN5o9rlWp2q9AuecexLgFOamtrdQppgjEpRhi0n3L8yIBj8y7zC3VOL/ikqS1R3tKab9C7+3vjUH7ov4vBn3786ywsd9Tnv/6C8ISgWRPMTdnG29tv6LNt2yJnl4c8+6LLlZcmDHsOkbYp5aCe4GQeOFqSxhWQUwkuGQ2ObO2UXdSEtHUjCI2QhjiyO3kJASfOSP7sTp9+rHj6xYAjp31Weh5h6oHjgXJRLYUnBTUFdWUIFHacmcoKj5Rlbc8VNulRBbcr8TJZ4nvge2Suif18rqPx3CTLiMbUgoil9ZSvPdSk3fWZmhA4WXyQF32dLxjLyUtX8gZhqJidUbz5liFffXzAqXaDgSutTHHATQxunHvWmccuU2sXUp11IovfoY1T+R0W6F6qSB1F4iri1CGOXWulujENL+Y1VyXcfHnIu24b8tJpyTMHXAaR4k++Vuf4ggtC0h84pJEq2qaMQ5kNqqJ8BOCFaClOgEgMQmsMtvqu1khxgxSF5isP+5xeUTz7Qo3jizNsm6qxayJmspFicOgNPJ59YVGI4Er12c/fmbzzHZvrxc8LcCkM27c0f/0VF4fXDAfQrCdMNhKmJ4Zsn4vYMqG4eEfCjZdFfPDDLf75r7bQCF6xP+Z9bxja1rQU5iY0110V0whMNj5N5OUT59mgUxTDedp9wTPPuqx2JLUAHj3g8vn7A4axYhgrzi14aOEQGxctXHAchO/gSImnBIE0BBmwfWXwlbE14E7m+Tolc3t5X2YBbpX1aIqCvT1X43l5gVZasLfnxSgVcfdTis883ER5jrXbRvT3yzN47oWnRTe6Yjh0ecetAz77YIc/uWuCXhLQyHS4m+vwOE/KmKJbSAhZAMz+KlnR+hWAa8vkiWOZ3HUUiePgJKkFukpRyg7SnwoSbt2fcMv+GCNC3ntHn2Fsx7l97n6fxw541HzBSkfxzPMenb7MVJI47xUuwW3lSSPQXHddzOykrRrUqeF9bxhw3f4EgM/c5/Mff7/FIGyg/QZh6qKSlDBKGYSG1Q3B8YXBNa+7vfnrGH70r8Tg9z/TY1nUW9v0R/dfeeGy6g9ihBDU/IRGLcR3QyBFOIanXnD5+BfrHF32QMLhUwGfv6tpP0pqmJhKuemamGbNvvlNNskYwMlch42e4vHnPDpthXSknYliHMtMwsHOBXZAOkgpcaWwYJYGX2o8aYHgKfBUOaPPgrwck2z3+JFF43EV3Jbhs7JaN2fwtHIk+E6MMRFnVzyiMMCfkHhZ2ltlVXkjWcy8o4cyvV6C3DpPUewy1VTsno3wxJBB4jNIBDXHDsHMa0jyhJaS1fJWWfwu+zuybLLWZfZUZw3fFWmUJGmWN1DZ/kcJcZKiYptLcFSKlAm7ZnW2Ymgu3zMkMgOko2m3BY8/57DRl6hCsYwG1aNX2lYWNgLDzddETExpTGp/sO7YnTaQhloz5Qv31rj/aQNBSjeBhZ4kTA0bfY02Gm9loK64dmP/j/zAe1rGnOsIsf2bA7zhzjOhnA/dfe+Td7zpypfYvbVJFDlIpfG9kEYwIJEDHj/g8G9+a4pja4Gt4EGQIGjnFCUNnQ04d/emIsvNwGZ0eTNCoPMtF8hqToXVfkJIhJSZlZWDOks7S7KNW3PfuPLsZJ30imzrPQpw27YuhZeB23MoSkwtg2cs7mi8LDvqujG+H3N6RfNHX22A4+FKUQaYhTw5T211JfmRDwm1YLODdaLY5f1vHvAX9w54cbFJL3WpJ3ZTWlsFWM6VESrPCVB61KKMcawSkJUCr/zQRS2M4yjc1M5LcTOgK1kmzWzdePZa6MyiTXGEQZiU2brmO16tQZSb9iLy/TNehtRMFoNpiUlUYTroxBBiZ0heMJny739kg5/6NcmBk5JuTxDHPmtDgSPsCLyGv4I0j9xxbvnaD6Vp8k/+UgafP/kXKCm9o6fP8PlOzB3Xr7N3q8kcgIQjZw2fvjfgz77R5PDpGka5llHz+Whj3XypW/1Q+f9GDO6xvyvyQhPAgjlvQVMCXGHTyr6wUsCRVJ7zptpKIZFDZQ5KztplV30JcFnIFt8zRUub5+nK4JwEN2Nvz4mRMuLkgmC5EyAcB18yIk/k2CmpZOpHCs2q+jhJFVHiMtMK2bttwMGFkEHqMEzBTwVuanCTTIcnFM5SmUJXlbtJFKfcTtoti95KaaRxUk2qJMrJty9XWbFailQ6Wyl0ac2KcjKWfdaI0OZBRMUgKJywIrdZ4fAx3FdRkf9dpVJec3XCh39ulT/7xpA/vzvk9GKdKHKIgAu3h7z22jWSYZ+Pf/YrnjUf/xKA/+ofrSEFPHN0knOrDrfs73D7NT0kmmHscdfTAU8eqoFwLXNLJ4uk5ciJ/Ss/stmFRQAuBJIyRWynUoErDK7IQJtJgPx18T01CvJ8RISj7OZSjlPOQ7HglvbZy4GeB58ZuPPuH0cXEsV1rD71vJiEmC8+WGNxuYY7ofCqNRxVB2X8jFQr7IwYCwIVw9BOsH3bq3o8+OyQThLQdxxqiSbK0ulKlgVRecGZEJqycygPNAXVQiets5kqBlJlf6ejBYkSOKnMdrGztTxJBvQymZYHzxmL5y6X1Mgs0TcK7tIV+2aosOAWgK7kPmwjtVIp+3cn/PwP9Xj3q0PuedplEEuEEbz2mpjrLoa1To1OeKj4PS8L8KXTH2duxn/1//bBJ284dMzB9yd56FCDB59LMisHi7aagMwuAlksw2WAcx4cVwm78nWeLJBZ1ZoUoLA2W54mzlPGdr7J6HxDp3gWxSiEKrCLOSgK2494PoDnAWeuu51clphMb4/WkntujOdGLLQ1Tx6pgePhZPLEqRQoFYmQMYRbq7RSdVf0pcrCE49jl+svDpmZHNBer9NPFHUFbmI/i0rtECUVVwFugVH8qnyEdHValTZlbZDSpFrgakGqpB3IpARJBvJq8doouLN8hMyzytkqkpkEVWBXK0DHqxDPB5Ly57N/J9VEkZVLV12Qcv0lBkjRWjIIa/T6AYNBnTPrUzcc6tzx6t/4s7c+8D993zvOD/AHn3UJfPUdaz1xHUnIXODTd11C7ZJkXRrlexFFKeV4Rkuc/70XAK+aSTL7MFWAV0eu5SCvlnBWAa5EWeppm4vzThUrS1TRvVICO2++teydaW6HQm/nlqBl7BLcblGdGCOI+cL9Pg8+30T6Dp4Udv52UUFYttGV52Q8m1lWW+piBqAi1YrB0OWWKwe8/TVdfucLTaLUp5dKgtQQJmQrV7XqT2dyTo/dUC/H5KAdWbQS5uBOlUQpbRldymy0hK6UIldrgEwJ8pFssymzm0Vx1mi2U4jza/Nc0hR4kqXU6Q9N8Vl0JTkWRimtWnLdrdsH34GJHjgvgy8vnWVyovHmj336G3//1MkNAlfio/GVrc1N86lS5BkqMwLqcSCfj63z12VlYM7ipgT7CNDz3RjK0QY5i9stSEqwO3kHvbKvR1g864Zx1Si47TiFMebOeja9rL3NdfKGg6RyxETEfPyuFqnxUUX2shpgln2NubMxosEZa9fT0o7SSPNg00Hg8r7X9fnjL4Zs6JhBGjBIBW5CweJSGmQiiqIzaxeO1x7JijVZKXjSgtTJRjeoDOSOQWkrV+yoPVvBaLPHsgB1aVGOArworRWl/h59zm/vcbOlFCpUWb96IxQDiMoEWZJmTtGwA/Xk719w6ZvvOX3m3Fd379o+CvBBGOIM1MUr7fa+xbUOnuMhhcEzpjwZY50a5ds6/6NaETgO9ur8Dcveo106qsKAUmzWnDnoq7M9lBKFFs9HI4wMu8mA7ShROimFHWg77m1jssmYuwwwnQp7+27Ek0ckh+cDjHJRUuJJncmqqkQpl6txFyU/yqE5ouJXW5DHicu+HTFXXNTj4ZdqxMpjkAgCCW5qcBJhi6BE1oWTZDociUAz+isF1UbwUhqV7WH5fEhH6WKOpMqkXwnurBZIGTuOupAoFKtHFeBF0JmBtpy3cn7mPr/zcp6BoKkgzWxQIcDoZdAL+zDdiwW9r25i8FNn12k1Qs6cG5Im0GzYN2dMPp6rOtF1rOb35cA98gHyO9SMADx/riZFZAFyU4J8pBAflBC2e16U4M7ZO+8WdwpwyxGAV4f/2G57CmAX2cqCuVM8xyZ2bFdQjCHmk3fVWV2tIXzH+u7Vm3BMmojqSRlvAqiw6og3re0WILPTku9+fZcnj7QI04C+8qilVosXsYkkA3e+VujME88Lcy2LM6bHdTbvsTqVyh4SpfMVyRSvLcDtrHOpyyBTFd1Vcqxmn5GyCyrPmxl882O8dbFadq3Tst/AZr4VrVpIGq1h0rK4sAD47/7p55BSsr6ywa4ZBSJrIs366IoPb0SleXS0G/q8QB/R5GZEnlQBXp6YUYCMOAWVptjqzMEC4AWL54M2JcoZBbjnZAOA3HzrwCzD6RjcIhWvs9fpyOEo27nz4kn4xJ1NQumhpMqyl6M34ngGc/w6FpmBovC/0tOaMXiSOvipw3e/acgffLnPs8dqxMqlLyVeqjP3SCBTk2fMLeikKJwM+9DZ7xrdt6jK5KkGp7AQ7WhrlZUEqNSUwzqLuSyiuKGTMT2eA3qEwatj4aogPx/ATfX85G2NtnAvrRy584SBVE+x3j+BP//HVPdCdQDOnDnHzp3b6v/i53/twsX5JZp1m44qNgvVppwMOjK8pfRZzdgbG/8Aovq6osnG2fu8AC/mDG4ehywrjJ0HmfnUJsfJN3nNtLcaA3eevnfzxmRtZ4YULWJ5T2eSHTHKjTh81qEbeaCcTJ6YsfLY8Rt3FOGjA43GvPCsG6dM/Dg0XMH+nUOePRyRap+B9ghSW7PtZBpcCTvA0jpaeWCnoaj5yZlclBnOrB7GKQab2u8pDam0gFcqZ+xyQkA+XSutzMIpY6bsusqy62qTk1Jxk1/WOjTnZ+5yPLMoJzpkN+XUhGZ2ZuuF177qn9VXVn6yPzu7zQJ8Y32BKGy/6dXXbv+p9sJLpKlT7LRgp36WOwdXp4ZuYvAxgFdBPc7m4wAYlydFmltUZ+dl0qQyx8OCnLJGWlVAXbzOkjyKzAu34LYALocCuVV5UmVvlfV1ehFrXc3/+edNVgcBwnetPJFmZFUpB+d884xA0c6lK03YBYNbRyVJHFp1h3/6ni7feLLFaugRSYeBlHhZD2U58iEP2EUJKqHJy2gNOgO3xiDHnBWRMbgpZjnmYFdSZAxuJVFauCgZwKUZcb5G2FswyuQwEjiOn6MqURYWZ4W1kzSf62i3SYnjfMC+YXEVRHPPTwWHXnogjAZ/UTD4/JmDeJ5HvzPPdCvbPCjWRIkmzPYpl7EhEbYDQ6b2gubNoyOVkOOPqg4Vo89ijO2qwKhuXjoObBtklvMHpSrHj6kKqB0pcTJJ4hQAzzW3LoJK19EFuF0nr78YZW9XxXhexMfucnnhaA2ki5QSPy+NrVzgYo/47EO+bDVhhc3L7vIS5ImW2SZPLlft6/PO13T4gy8HaMdnID18KYqkj5KCONe9bGZyUWXySqN3tSZGK1DGrgraCAvufEqYhrSYnyJKgI8EmeUo5hHJyahEGfW7vzmDjxSLZRvTxqkFdhhLwshu5R7GsN4OSV88yXrbEMd2YwgHINUeqfYQwqFRkxjhEIaaYZhmPnW2vAmDSC0QtbZ3cvVue9lHAXJR3rWV/r5NnnGhvUXB5lX77ZsDXJYAV5UaaierS3EppIirSrfErQwHKjW3ZW/XsVOr1tuaz93dZKXtQ5C5J6ISjL2MREGMJcDM6EUcse1yy1BLG0ildku+qZbiO+/o89kHh6z2fCLlMEhlZk+KzL0RZTO2LCVBDmxjyq4fXbB52S/p5NJTZa8zEtPZ+Ov8vFdBLqQoffF81ZUZW8vc/jWMjIHLVpn/PoBDoiVJIogSQRgJhpGgPxQMQjt9oD/UuK5Dq+ETRvZfdubPHKXZmrrgwAtP/MSwt8DclPVn+0NJW5ZDe1KtbTKzmOoKcnxQz2ZcjwB8hLkRhTaVla/tCTqPRBkB9ujs72qHix3uzii4850NcuZWFebexOD5uIly5ISjbOby+AnBSycDND5COkVzblk9WI0fRMXVyJE+WotSMrmoyBNROBlFu1nqgHG4bG/Evu1DVg/WMKlnWTy1MsWpuDilJKgWemWCOy+jhazZQFSCT9CynFNSjW2UzgaqSjLtnVm5siSjfHSe0HnpsyjeR76iibGhqSM4Gb3/RwlAl/sAJYnd/2kYCroDQ7eXMBjanS6OnTjLRfsu+YnXvPaWpw8cPHzCUTIhTYbbmrX4zTONcziTPmGc0u45aGO3w7BtYtmHMsLegRV5cr7gsvrGR4LLAuTZojnC3GJMnoji9+adK1VgF8+KbBRw1QevHtmW1qoK7grIs/3q3aw0NGdvlX3tODFKxXzx4SaHV2rglfLErViXmyUXL09RVFrXRgLOPIkxqsWjyOGi2Yi33dLnsRfroF2S1GpxN82GfKacRwvn1mzuL2cgN6YiUSpyRWavZbaqyPyw5z7NVgyZA13nJoCp3NiWzS2DV2bCVLvyK374yzspYmSF0WlurVpGjxPo9VNWN2I6fUOUwPH5JW64OXlzfxBuG0bpCadZG6Jcj+0zHdxLF9A0CCOHTs9nMGwwvySKrSUsIxgkAqHynrqXr/IeqU85ry1oX8h8RZAlqItAM//eGLALNlei0oRbAXc2n7DctoPNwHbKAUHFiDdHZyBPrDxRMbV6xMOHFH9xd4PB0IO6gyMFrhiVJuMBZvUzc/5rOKq/xyzDqi8eJw4TTYd33T7kyw/2efSQh2m4DFIfT1DcaKr4/aUOLsFdgrxaFWKDz+wGU5bN04zMdL5pgS6dK11sfSIqO0OISqCbMbu2ZFh04FfignwVL3FyvqpxsmQYxdCgfOcQJ8tjdIeG509DeyCIEkOnb5hfN/RDTaevcY7OR9TqEYdeivn63SFC2K1GNAHLS4pk6GTDZaxjkssIY77JlRsD+cvJk/IYnWhaBpeiAE25BIriUEpkc8BLcJcgz8tmDY5TjlB2sk2YHDUKdLdga3soZQNMz4uIo5QvP1TnxVN1cF2EVBmosrkh1S7zl6kiHHELqqxNNpV1bH5MMZGgYhdGkcPlexLe8qoez5yoESYeqXQZaIWXMvZeci+cMQYXxbWsvhdUfrNptBKoXH5K+yxzRteVFVXaTQ6Ka6PLVUOOxyPjcckmbOTvj8p7Ld99LqEEdgWpebYjaHKiz849qwhlN8gdDCKuv3SNmVYPX3Vx/uUvfRHXUSyv9Th84gIiYz3FuivZMynYPqmp+dZrFmNvapyNxiUJOZCrF1mcD+SjOwvkAC5ZvNyBoJQmFauwYOwc4OXk1EKiZMxtGdsUTO0Uz+VrNwsuHRXjexHPnxR89cE6/YEHDRcp8spBKvbgebKY+ZJdYaWCuYu0ZjlZd7x8tpxroopun2Yz4i23hnz23iHPHPPB8RhqiZdpcaVBpRVHQ4BIS3lAOpYOVyV4nGxVthLFsnm+quS5By1BmkyaZIwudO6mVFYwXWH2fDWrnJvxm36zN35+8hSiTDbVayn7ZxLeMqvx/QSdKoZRDeU/RLryPL5JcC5o9XGUZFpENFLJILJRqpSGumtPhjYGaUTZhzAmO0Yunxh9XX4YMXIHn5fFqxKlqrkLkFu9Xc1mKpWV1GYVhU5RcGXZWhXzwcfAnR1uPoU2K/B3VGIPJ8Z1YxKT8oUHatz3fA0CB6RtaHYrJbyjM0IqR/WL8zyqvZmFbafLZuTU5HNNSqCHQ5fbrurztlf3eeFkQJK4GKEYCAc3pXhPuds14j+/DJOXv9+gVM7cls3t1wKpRaHDC0crc1iKlTVj8GJopxi7xoV9OQ5yswlXL4enojxA2c/V6fsk6QxSQpxIun2HjV6DOPWQwsGZnrABU+AZFA69oaY3tFu6SWGBMw7E8STGyPIryvtv0wfJvqi6JvmmUaMnZAzYI1KlmqavHKoEd76rQ3E45SaoOaDdCqhz58Q6JvZZqRjPjXn6hOQTdzUBD6SLEAq3SO6Yorhq1OYs6+PzyzYKMEp7FUassEKDZwVFWmWjH4p94h2McXjf6wZ87aEhjx+1kwRireinoqyjF2QpfFGsF6O8aN+LMcayeAXo+Z+qDPRaZvv55HpYVzLLJvtdpgJqXRnYKSs3/wh2Sh98fND+qOtWSRZVJJPWhjixO0aHsd3vqDdUrHckifaQygVjcHZusYNjolhS9zyW11OkiBlmGygX2cJcLlSlROVdbZYiYvT7GajLiPo8OwmIjKWFXS1GdXfpVoyAPGPrcrMpe3eXA/BLcI+wduU5b6zNpYpSCa6bEKcJ9zxa47kjNXBdkDa49ISpTI6tBlaj52eUvEehZSovigaIscRGmeCQaJU5KqlDGLlcuW/IbTdZFh+klsVD4THU4KSilAdpbhdm1XxpVUyWu9aNW5dKglF25VaGbPKUQBiBEdYiLqRKHlQWRkHFKtXVG78C1opNXK7qZuTrkZU/Y2/7RvN6cJuRxQiGoWR5Q7GwkmJEjOPYm9N57XXrIAQ6TVhbj7jrCZeFFVnWYqtRvVvdrWATm2+ygMQYgEsnpvCJs79rpzRV94gZqz8RFHvvFE0PefPtSMNDuXWJo8qAMp8X7hSgLifQKqcC8EyieE7M4XOCj3y5SRi7UHczeULRmqaquwQXN24p40b0yiZ9Mgr0qkwpNw7IQT6uxR0avuQDb+nzhfsaHDprb75UK/qpslWGaZb8wVKfSDNvemwlMTnQKwCXptTiMtPoUhtMdo2MFBbguhIr5Uyuq47YeVa2yspe9egLV2UE8NWfM2hhbzYwJBY1gC3R9VzDWifk3udStLQj+LQxqN/49V/dGgTD/+PQ8Scuu+f5lMNnHDbaDp5bgtupgLzIHhYaufq6lBWbMowjcqO6h6XM3JBsLHA2HrgA7tiRj0yoetzFs1M6JvkEqCq4XWVw3DxrmY44KK4TF80MrhORyog/+HydP/7qJPg+qAClHOrKUFMmG0dB0eDsVlrjykxqNRElKSfDMhKglrFEaTvmN62QZI2/ZS+kkgZhNLu3RZxdkTzxnEci7OQBLeyINUcYzhf3jMZNotAkovq1qYiaDOznuxmqEquQWmOux6aj+nfGcgDF7EpyW7BCApujvQL8SsJEMyUIOtSaq5zrDLn+mlu2fecb3/B159iJw5PPvjR467/7nTpL69PsaEqm63ZZq9ZZV/3ncVkxav+MbSZa1VeFLKlKkqoGz5a6KmuP1IGbEe0tCzCUkqTK3qrY6aGyEZUalyR5pWDO3jGuE/PSvOSj36hj569Y9nbzzv389wtGxgvLKvOMxyH5F5XE2Ag4dPVCl3MFTTadN81mPepUkapMi6cO3/P6Pp+5p86BMy7ICCMkw9TFQRTpc+ukZEhOK8NNMaN+uDHZ9DE7GysHoKw8F0fO2sb+DqMzf1xnAeqItBhl85erRTqfJs/Z2wj7b+arizIlyJWy+29evEtyy1Xwplcu8+Ly6lvnV45NOp+7T3LijE/cm2RXy6Hp20mr+Q5cOXvn2auRVqzxZSd7c1QAvVnOVD/46Emo6reRGvAsmVDdR6bU4OVWgfnOamoM3I7SqIzFVSZRlNKoit+tlD0clZCqhM8/0ODA4VJ7CyHtyIqig4bzXkDB+NdiE/+YkdejDcgjnnhlIpWT2YalP26lyuUXh7zj1T2OftQnShUIh1Q4DITASTP7jjzQzR0VUXkXpgyBDZkvL1DGWphUQK+qrCtMmeIXoKXV6zqXKRUfvAr2KnDLeGxUllD5WYmNbXSmwUvGz7eLt5gMQ0VX1jDaoa4a3HqpQXl9nAu2evjG49wFDsPY/qN2qS07YkZ33xIVkFcYe5OGepmfyYNNufnOFuPMPcba+dc5a+dgdyrArgK90OAFuDPNnW9xIjWOzIfaWLC7bsyxc4r/69MthtKCG+FUuuazFaRogh5ttSujI77pozqqL79geQtbmbKvavBsboqSKK1ItUOSuvhpwj95d48/v6fO0XkHVAzaIRYuAyFQaeloyGqwOQby3JvP7cJihUEgc3DLksFVZiNKIwo2z0GopUCYcvXYvOpnwP+mLF75meKGsX9fVWrXbaxipwREiWC967K6HjC1tUGjGeBcfck6SnQJU03NVxVtXEmFi/Ow9xhbj9pj4wFF5bVkE+uNNDfIKtirTbym7MUswK1LiSIrRxFcVoE87ndXDmnlietEdCLN73y2xdklH5SVJ0LK0hoU5U1YvD5P4DS+1L4s0Ec0ad54UO3RzFP4JXsXzRBSkSYOO+dCfvidXX7xIx7t2AYExkhCraxtmObvw0AqKBV2CXKT33XVd5sloFT23pQxmU2XBaA5owr7HqU1NBCZZWgKBn+ZgHOcscck3YiM0eXfz/14LU1RRpskpiBjzxtwenVAuDLEuevxOvNZH2bQyNPfItOWoky4VBhqszTZbPlQ+XOZg37EEx0Dt6xKlCprl1Nai8L+zH8uJQk4+WgDJ2f0EtBqXKIUW50kxbOjYhw/5lNf8PntT7YItWvliVBIIfEEZVPxmCU2oruL87E5KDofi+foKq3CKujzlL0pdqort4bJGiK0Q+Ak/Oh7e7x00uP3P2+1OChSIRlqG3DKlILBywKs/GKZES6vbueoTClZjBFIY29yY8qspg16s1bGyrkxld+VA1rnJEcFF2IzWZ7PTZHC3p+5NZlUnDaVMbzjQCNweeU+h1pD4Wyd8nG0z9ouD23cLOzYHAyW7DSWxaxqbzbfiSIDNuPatMKEoiI/Rpm8Au58i+5806nzsXbx/QqwCxYvGVtldmD5bGcNrq3Dn3+jznqYg9sC3JVWeztiVJ6MvNfcLqvguYB1lRSr8qTQvZRFRSPyxOrxaqdPUScuZbbRgEOSOkx4Ke9+Q5/PPFBntatAxqAVMVaP5zIFUWrx0Rtw1Cmh4oaoSlIor0+RWXbbSFPUqhhhga5FNfFTvd7Z789qSnJtjhDZJgfni+NGyYMx/Ix47tmnmV9y0J7P9LSPMzkRoZOYyaZgGDlWC1b+0fxfHu3A2FxjUt6Jo69HwD72gQWl/NgEbDEqTXILrQwyKyAfAXsObjPC4CXg0+LZqbC3W0/4wt0Bjz5XQ+faW2Y9lyKXJ6P1JmXP4fkvwKbzuOmRsWdhoZUSZbwZwlSDTiNRpvTFk9TF0Qk3XxXx9hv7/NEXPVARCIkRglA7VmZmsJUFIVUNuIomrzoVspLGl5UAT1YKxWRWzlG5fsU4B1meG53HApukbQb2cSyNk8XLkmvlbBpodxM2eiHSD3GOz8PaqmFlQzPZypiIl7sYlX8cNv2yyv0wAvJqgU2142PEOZElYEbZ2xQWYRXgcoS5dabLM8dEmoyxK5Ikd0xkRaLIBCXt4PejpyQf+UKTha6XzVy0g96VoNyxYRNrjN/AYgTw4+w9/hhJ9FSYfWSrl+oOdSNd93b/HPtsJzxtbaT84Nt7PPCcz9FFCSIGFBrJUMhiE6mCzTNQFzZm9YYjkytkPQC5VSjtZlQFmwv7OgezNqMrs/2zagMEaFFmV0tJt5lAR2FXuSFFef6K9s4cX1IwOyW5cAfMzIDTDHySus9E06VRK6/HpgxbuX6dH/pi9E46P4ObEdCPaO5Ci5eMPWoPVnczLvejV7n2VtkOZNJYR8QpwZ0HmoXulimOtNLE82LCVPObH2tx35M129smHau9pbRdO6Kcv1K815FNUnlZJq+eoyrWN2cwS9ei3OO9Wj5bLaO17Wa5XZimmkQ6qMThtldE/Mj7Ovz8b3qEibQZKC1JMldF6rEunxxcxRuzLWkjd6C0wlVRsrmUNqto7UELrPwGMBlbW2clb4CwXzOChZy1x1rYKl+PnbGRl4XjU/kjIQRRaNjouDieh7NlOqTlh7hxRG+oSNJKF4Wu6EJGdeMmkJ9naSnfPC/jnlSlScneqpAsObh1yeYFwLNBl4UPng2IzMEsSw2e753pZDOui+BSJrhewl2Pu3zmvjph5ELNKbR3wd75qjEiT8aYuwLsKqBFlY3Grle1sKncN7QKbjAqrzIcrRVPtURqK1VyoCeJQ62e8O7bBtx534CvPa6sbYgEIYmFwyBfRQteLAuywLKwqbBljvEy2Mx+xhhM1hRR/TqXJjnQ8+trhMiYO6thklDOsqzUrhfnzzC++m0mhfxc2RF4Bjv5YXkjYnZnCN4Q587H+/iix1Z/gO/V8Iyu7M6Vb5RU0YkFyDdftZwVxsFejZqrw31ElQmrsiSrQlNVmSKrMiVzUQoNPgbois9dzLZWJbidDNyeG7PRM3zhgTqHzmWD/IUtiRW59haV6bbnYe3NkqUK6G+iT/KLlhUP5Zbc+VLY44mf8XpxKRVSp0jtEIcOl26Leftrejx6wKMdZelXbfV4hCLfB0KSeeN5bcrI3I8yuZN/lFxzF6DGBpbSVKr8snOkc39cGoyoyhH7cbPWzJFVvjhj34QQTPa/slHbZFaqKSaFKR9uvLrPNZc6OJftnqTbSVldbLJ7m9WyOoU4zedNlEN+ilFj2d1zvi7j/A2OWkBZcFNxU/Iipc3uSTlzQ2UzN6yDMqrFy6mnehTksmoPlgmc/DkHt+skaFL+8Is1fvvTTYzIpUmVvSm1tzzP+x4LKMubfLOGfNmLVWHJUf1tipV0vJWtzGhqdCrR0vriSmri1EUqzY++q8+ReZff/oxDnJQg1whCIVE6HyRRavHc/zP5HHmT6wrKYDMDutXh2dcyA38WyJps9TUF0PPMb6akC6marSMV8HOeFS8f9loG3+XwqTS1pd2JBp3aevatE4rl5SlekLM4V1yUMOxHbEz2cV2XJJFEsWQY2TpbKbB/Oa8xyGsmKhdoM4tXdBbjbDc2ZqwqVQopkAG7YPXqbLyqNVgWHznZa2dclmyyBhOUjHG9mCMLks/c06DXc6Fm94IcYe+i5rvi7IgywVN8Nja/HneavjmDV0BfHJWMZl5hmDUdFECXldS9VKRpipR2pmGzkfCu2/t8+f4aR85lRrGd20sqBIPqOx3r2zRiVK4UwWYBcPvGjcyCzOxvamFQWOCW8mQU6KPBeKUKk0oyaixYqcoRU2HuVEOSGuLYMEwgig1xKji9nDK1NWZnN8Zx3YiB6GPkEnu2eYRRjZWNepEKBYlIBamwWSMhKr8MsYnFq1pq1KQ3lX5FMxLNj8uTfBzYSHBZ8b/z0b1Wc5tCipTbbaQVdrf7yRQsLm3tSRhr7nykwTeeqtnh4NI9L3sXq4YQI8FwKblG0885bsRfhuzRazgK9MphiaWUKSbbisTqbl3KFC1JhUKlGi0Ucejwhusi3nDzgNNfcgm1zGwNCVqQ4BAKKzekppQpeRpy5MJm7gr2fOTfyiVK3v0uC+lhQS3lONBHG6JlBpQqsDdJFDN6fnIpklYAHibQ7sNSRzJINdtmB3gtg9dQOIfmr9p44Uj65Sefcf/eLfv73HJ1gucqHOUWjJrrpVRgx0UUuxWf31YpgT3qmlAAO3ciqCxfuVzRYxOTqoFmRYOP7T4wrsOdHNR5Kl4mSGU7daSXcO/jHr/04QlS7YCX79qmGC2qqjL2+HiyMrY4H5OPYOObIZtRp2qkmKgiVzT51KusGEucR5NL640L7ZAkGs9L+ekf6nDojMO9j0m0JzIeth8g1ooBuQWXv6GK3TEGcmOMlSpZYqdkdAtoaxlm95HIeveFDSpNhdgopEqJEahIlvKdlCW652HvfCpukkKYGhpTA950zRq3XRXyiqudL+/cedGGUrOy1+mfOTq/FPzI5+5rsNb1mKoHKOWh0+rSUdafVHX2eJ1JAdiRDpyqf53ZbcVOYZUAskjYjFUJjhy6/N5YYFlIEzmali8TOrbX8sya4Jc+MsEDTzUgcC17Z4ejBLWsqcGV5UZX6mWPrFa+GJIzOowor3nPa+OLxpGKri+/FpVzOFoSIEfObdVWzYGT75dTeW1gdibBdwyPPuuxMZBjS40spojLDFoiZ6jz3J3V7s78xjwPvZXuUOEvV2RX9d8zYz879m/mN/zo1uSmqM/J69SlEGyfhfe9bsgH3jhAihqHjs//4MmTDx5yVpdblrV0zFW7Y/TA5cyiw66tBt9Ns/Rq5bwUU9zKyrPqeciZenQZz+9UsylQK10UK0NEhbWrAab984zFlR6RKSXAc3CPa+4kCzITUi/lI5+d4C/ubmACBUIVFYMFe2cWZNnf+E065ivuSSVTMX7NN3ngZuzrTYAY67Yf7/DR0pxfi2dSRWpNKhzkIOXddwx48ZjLh37XIfKTEaPeaJcwv8A6L52t6I0ClJalM6otWBuyIZ05a1dclbz22+Rpe1lJKmXpeSHKoiz7a8V5QW4yKzCfVZ9vpyMFNGuCHbMeHj4vHJ6g0RDsmbUTAZzrLwwQUhBHkjiGyaZDoyYQlJV6kEWslSumtRlZ3BgLKEclypgkGXFOKvu8FKn5UnOPb5lRAtuM6GxVeNyl3paZ5paV2pOvPebz4S81GKbZFHyRH3YT06Lm5DzAlmOS63ylCJuDzQrKz/vInIuKzh2xCTGbSmiNLLtfRpwVaQFupPXFtdSk2sF3NT/0th4PPePxtaesXZh740iBNg6htoV1I+WBI+n7MgFkBNZFyWbI5/eCycgLCUabzPsuz18OdJMRXC5VCtmfxXelDs/OSXY+cnDnpgfY3+caQ3+geemUy/xKjWbdw3Fs2Ymzb7dESsEwVPR6Lo2aYaKR0qyl+K4FlDYQpzILcCpsnrP3+IUdAYIZAXY1qCwzlyVzV/V34ZwUzJ2zeAXgKh2zCUtgl0eCcmL6IXzw9yY4dtbHOOVuyblzYrU32bYgjIH7ZRyT6vfGgfyXCPJxp3U0o1ktvqrq8UptSuGq5BWHEi0UqS53KBPCQUYpF+1M+Nl/1Oahf+XTHeaMXUoRjUNocimaMXgF5FZrZ954FmAqaSsIEaa0ETMrWWTFV3mSJ69JkdnP2O+bUZmb2/HFmTLFecolSZpp7iQ1xRAiW+WbkGrodAXSsWPjMAbnxaVJEqNoOX32TqwwM6Fp1BJqQYKrbENnFCuIIE1FRuO5vVS5bBVXZJS1xxyTgr1HZ0yPMLnAypCCxXUJ9vy1qCZvxpI5+e682RbUjhOTpPBrn2ry1MGg4nmr4lllgWXZjlbag+etgMylx4h7MtpMXcJWnOd1+a0qa5cNEGVixTK1YVO1obDuimXKCuBTiRbZkSorVbTh+sti/ul3tfnPH5skSiWQlB/CCFIUw+L6liA32KpBK08zpyV/+xmAFZUUfeaQGJGzurGjJvKvNz1v7h99mVNlyTYxDGOIEntjuI5hGEEYJzQDwetuqXHRHo/B0OD8xAfegus1WJp/jjOHPsfstKAeRARejFIp2kh6A590o8ZgqDKdVy43OcI3e9znYeuqY1IBdfmzo9vT5UCWqtTfJdjPB+5RO1DJLLAMUr7+iM/vf6pJe+DaCLICciFEwd5Olb1l9bOUBUS5/t7UclWVbJXviPGrxChzj5dZjHf6bB7OaYFsNunxjMmFZfNUKqTRaO2QJppWoPnH7+3zxAs+dz6soC4oUIlFZYoizIGc2WemYiFaa7DSwiYp2D3PPJMzuSh989wPzx2VTSCX2QSAyumrSpfcUkywQzbXepJ2aK1sV0LgGpp9Q82JqM2+iX1XX81Gu4eze2uCcjTTTpctzBNpDyEiAj/mwEnB8rrDRTs8jPEZhLKoVbE+ptkkS0aKpca/VwC8tALFSHBZ2oFSmBHWzrfJy0EtN6XhrTSRsqwSlDJBOgkHTzj8X59ocWTVzfa9z9g7196b2LuSzKnq76o8GZEmY9Oa8gvEeR45O40ldkr/u0ysFI0QYzaZrPzsSJYz270h31RW5JJFaIRUyFizbzrln3x3lxMLDofPCoxTFVj2wya64qmIMj4ogktprUojQWlTJn/ypI8og8n8z/JA0kgz6thkskVroALyUofbmyK38IWA9gCMN+Sqi4YsrwteOuHjaMVaqFhvw5uXFJf3PVa6EU5nIHE9h9UOHJnv8tjBOgdPOQT1gK8/2WBp0eN9d8Ts3+GglIPn5BOkKpsd5UCo9lGOsXcOVjH256VUGWf1UVlSfO9lwZ2l6WUpTTw/YaEt+ODvtvjMXXWM69g2NOGel72L3ZTP53mPHyVJj1YNVhi9uIJjEecm9jabv1c2IDPSJjbC5EYgTD4KWWb+sCzOqXVUJEI46NSQYHCl5t13DGiHkp/6VcXihgB/nMkdEi0ZYn93rsWLpA4UMsUIG3zmjG07fMSI+5YDvBrDmmw6bSljyCY7W5AbUbpwxWZj2baQW+fgsovWeN8bVji9ZLjrKUW9bnjxdMC9j3psm0po1iCJDc6pJZdtW4KFO5+offX3P3nFmw8eCRmGAcqVTNdh7xwcPgbELru2Cpp1gc9oir1MuZpRcJ/vdeVnzsfao2CvJneq+6WfD9zWBrQsbmtNIjSff7DB1x+rW92tcs0tx9g73zV4dN5gVXOP9F1SkSxjwN5E2OJ8qN4sV0Y0OKVnXNXhm8popR3Ao7UgFQIhZFanYdvbpJRoo2zGU0qEsRWHvmN4041D3vHqPn/8JUmUZCehSrk4BZMXWrzQ5BWZUpEnVUmihB0joTAjckVmkWYenEppZ6mQNRbbG9rezIWdKO1mvp4radQcdm+DS3bMcux0ncnWkL//hiGBF9HpD/mHbw6Y3dX/6sycWtjSTFC/+eu/Rmv7rRtJ7GwMevL715dX2T2n2DFh2No0zLUMW6YEzbrCdWW2Lfbo4MuRJoSRBM75W8vKxuHN3TgjX6u8kSHX2maEuQsdLqvWoJ1zkkrNZ++r8b//1gTHF/yyiaE4HIQU+BICaSozT0wxW7xM5pjis9qqQlFhFio9rJJyP6HRIf12GoEc1fa5Uzd+jN9cm3z40QpMO6VgjHSKf8NQbSawuQzDdCvh8osTTi8qDp90LMiqQVW2BOmCsceTQKM6bFMSqPjfWIPc2F8f1yPFCpi3AMpy+JTrSgJf4TrZXqKpYhC6tLsBa+06g4HH9OzV1Otb/tdh5/Ajc7veZPfomW2E+D7snIxZnk2pBXYmuOfYEViNQOG5duLUCEkV0qTiY+cSZMTm2xxAjliDmySKHmHwgrlzi1CV9SYy87mlTAr97bopx1ckv//pBoeO+tDIEjqimtjZzN7n6xkd0dwVZh8pEqoAoOqubGbyUQNsk0WIwA6jr7B7hb2LSU9VNs/dicpcQ2lGC7KEVti2MIUwGq0Vcai5bF/MD72ny2PPe5xYzgv2qewdaz9RktmJRWGVsHq4cFgyWWckSOzmVUaawjasWoVGjzJ9kTzKygOEseon99HLYUT2ZGhtCGNBuy8xuAxChefa7HaauHR1wHSsSBOFXYeAG66/gnq9hiNTls6dQAppU+1S4HmSmqfwPbtjWZl6r4BTlEw3XvlXbP1cpJhHwW6bG0YtwTL4LAE+KlFKcI+6JjGOk7DWFfzXP25xz1NBViWYOybW80ZYpvXEaM1JMSSneB61BQuZwvnBX5TM8t/3qHbXjwSfVQsxu8hWepRZTCkyCzGbE2jtQ5kB2pDq7NYRyjYcCEWKJaS0b7jjupB/9v4O/+H3JOv9HGzkxSSZfeGQZEElRfGXKZ8zAMtcsogM6FXZInK/OrMcR9g7u59ltr9P5qDIaiySJ3kSQxjlHrzdZc1xssJf7bD9ogvYtvNKonBYAnzXzu3s3bPjzkcfvv+Xdu+Y+Klub2htUAmuK/Eche+JbG/Jam3GaIVf3mVTfF0AdIzNRxI7lZ/L2LtM1+sKo+tCkpSvU5Swh5Q2UzkUht/8dJPf/VSTburalq0R5i4DSy+ve6kEmHIM1GJsySevVz5PgGmBJM+/HP8l4K4O38xdlBFNPmIdjk6jre7tI0QF7EYgtMwCTpMBXyGEJtUKEkPTjfmR93ZZXFX8tz9uMagkfyyb5x6dItWSMMN9rsHzTh0jQeoKmxfp+hL0OfPbrU0qRVrVm9z2uSGwaf9U2GrHNDUkEuJEIyOBwG4CGyVWwsSpRkifE6fXfulVt+2/s71+Dvuugf/8q7/CtZfV4mYwvMR34u/s9RMQCs9VBJ4i8ASBZ/dE8bKJCsWQS6dSEDWiqXVl2pQere3Oh0mqMd09XgorDVJVZckYuKu2oErB1Tx3xOM/fniCU0t+mYovMpZ2xqAUgqAoqMp1d6m9HVnq66IQSlT0duV75ddjM8xFPgEs0975fBlZmZqb621Z3baF0de5Fi2C+DI7PDqOmCJjPJJoEyYzAaqWbrk6YQyBp9kylfLA8y6Ly9IGk4UYzj1w+7VBkGYEXwhWke2dUygrsUmDjzeA5T9XcEH+l4tVsNTkReyQa/4Rm9Te5P2BZrWrWFqN//irX7vnwXd+59uLxQiA2153B294y1vYfcEsw7CLEpKaL6n5UAvA9wy+Z7LNU3Vlv5vKLO5q+epI21hlEM947bYyFeBW7b9qpjLNWD49L7ilTFBuygvHPP7pL03x3GEf40qqhVS5a1LagmaEuUd2ajiP1j6fJBnZnqR6wSvB119JrowneqiydYXpKzq72Bl55HuWxYuBQXnyx8iySbmYkKWyw0FHimsujvn1n9rgyn2h3dZaJ2ASMKl91nH2tY0RIg0DDUMtiDQkBmIjSAzZIexR7IxtX+dHWrzOWiPzreLT/OdN8f0k69qJE0MUGcLI7uE6CFOGQ+sYKSfk8it2813v/U7e+c63FOfTyV+s9XZSp87xc1vpD4+wa6sg8DPGzndJcEa3A3HzktaK41G0kI341xW9nWtsUdHf1dR9FkiKwgvPwC9K9pYyRVQSO46b0jWS3/h0nadf8EmdsaBSqLyEsQwsRbWgqpKcqjKcNJsBXbEGq6n6ql34V60HH6+aqyLc5EVYYzq0Oniy6o1Xi5JsY4rIOtpFlvCpMrlEYEiFDT7RGic1XH9FyP/0rh4//Z9duokAl7Ht7kWhyQ2SJH+72r4XJeyGYDqTKfY5+zqbVVjMTZEUE6pyhretcC/PAvkQfpvIsntJpamVc9NNybUXT3Pt/7+9L4+zrKrv/J7lLm+tvaureqle6JUGmqYbaKBbxQbigkGDmhidOBhjYhbjZMQ4foyOn0mETBwnOGoWkcmIGiM4DBAIiAjNvshOSzf0Ur3Qa1V11au33eWc+eOcc++5771qmrXRmfP53M97775b9d670z0kDwAAOctJREFU93t+93u+v23ZbDQb9XaAl4sucnlv+0nzyzuCo92LIBtwXWLdtltKE2ces7mRtnadNCfVltlo5RkHDxEJ0BX4bRXFADxOFpgkiR6MwJ0INUFwzf8p4Lo7C2gys5C0vJWUAVDUJFVN0KZ5pzHtaLudtzp4Ms6eltic7Di2De+spCj0ty42tR+khYPLxH1PiFJQksaykqrC9SC6ICYFERrgRIIIiZhQqDJvEm4kcen5NTy3m+OaG4qohugAcplwcgmKSCpwxkS1FRdCA52ki0xKVPkIRqAXorpEsz7/MC5/22sLJIkeab9MiVgq6x5RgiBSJftqjRBRnMdYpbhDSH97EKVxr8mE+epXv4oPvf/8HV0lf4BhfKNHx+G7BJxLuFxafd2he0ralVvTBk9JuWIrQSHh05Z1z+RUdpgUKQ/XG0sBzizeXQ0JvnNzAX91dRcOTTiq7jO1EoiT5xRc825PJzIwanUqTjRu46pPZc90ErTz7+TR8G/Ds20O3rKvtXOFXVLDLj5KLI6epU2y5Q6TeokzkxLmWDtVzCrVkDjs0klWLsVYsyJApUawZQdXTqA2V212AkuoZu8JGDOT1UpyIPYEzha7zxzUYgHSql9ISpmYqMJGIDExGaGvfxALRka+sfX5Xd8+c+3p7RYcAByHg9DCrcOzJi/eG9ZOi8I8hGQwGfE0yW7vtDhUQDd0IquBC01NkL62Hm16YvZTktIUQ0UoiTM0hfoSN96ax1e+XcLBo1ytGKlNS1iCFKqpSXsqWtaZkkiAtIP1thc8JHsp1C6bq+D4hx2AJa0Lrq214TIZpcW24IlXUybWO3XnUxApQLQ+LiVV0h4kJNHufW3FCSSiQGJ2d4zPf6yC8QrF928pAn6UteBGw0vgySChOLcgqigmJ3bosW6OJc2518XyiSoPJ7S6YiIm08a4aXmIWFiVhuN0ssdCQLIYhyrRk6Vi7tap6eypzVCeb3zrn7Bilbdn76Hmul/sxOnlHEchpy14SwOnzALTLjRv6gImvDzWOZLpYtJYbtpmqTtZfJHIgRkFxZPY/iLHFdeU8cRWT+dV2hbbihakipp42oJzZhXStNUS2ytrgZ9pK8osq5q1xKklN963pJnWDBY8UwudpJ+djVokGeueTDo7I8q8hvHTpF5L2mFi2hbeGGSTeWPel0Ki3CWQ8yQefNrBxFGqnQDHmqVGZVHWNpbQHN1YeE0z9HNhS5zJxCbpJE7uDpYOLvVC1FR5kASlPHDmKoHZg/KWfS9u+cbHPvoHmW/FW7+mIKcDICj5u+DwSeT9CIyJ9BZiFmPEphQilfwy2rXluEn07/Q10XxbOVaUNq6cPsI6VoAQxbsTcLsCO/Zz/MU3u3DXYz7g2TEmlgVHurB0jTXRybK2Y2cm5SSzD2i//dtWWyOGoMOx1iHt0YPWrd5YatgXud17aSy7osPZcFoVgGW9n+wjIMYxJFTcCpFS8VzjDFLuGQASoi7xtjUNfPmTU/jCN8vYud9VfJyiwzArBHXOpaRJqYjYMhIOVGUsTkytR3VtuFQJ7UxItUi1rDczrVEIQIXlIAIBpxKeCxAygLNOWQIRy7Zv1gbwD7x3Ewjhwd5tPwCPdsDhQD1wEIRcnRikemwm8MlWTWicvE4phwVq2ABPPZkG7ISk1MQAPllYOgKjhzm++HdlXHdHHgHR3agITSkJDNCVLKgWPfqkwrLOMFZTzgjyjEOngwUEyYL6mAbOxkPLy7ak24w8aDuBzD5pSYkWyG11RVAIEoOQlK4I5YFJF5sm+0dKRUelBJEqK8jnMd6/qY5YAF/4Rhm7DzsKMdSaoVSqHZIhacUAQw3V58ZaSQm1MeGEgEMpWZxKcKlqmHOqLD+XUrVsoUBMVdw5s2TZWALNiKAaAPsmYswdmYXFyy8Iwih6aYDPmtUDkNLlB18cWPH81ugt/eVpDHaVdZaIukpJbDbLOmVSN7rlfbS4tdmQLG5E8ppSsz8FewJyGiu3PZfYfYTjz68q48c/zSMgVIO709ZBFqTIuuU78uuUi3e02i2qSfLSPvhVDruUsrGtGR5uu/Az1rql1IS23FToIpiWt9OE1xLQxOjouED1nDBEkYQDgd+8sA7OgM9dVcbuIxrchEHfKnSgtgG6UEDX/StNDQmpPbwxURQl0NeBC5I63KRaI8Xa8nNdwllIncysqZgQwFRToqengpNHGNaePnj33LnDlx86UnlpgBNaxjU/uL0iMXvbv962+Lwlw+PsnetjeI6VMkayCgjPqByWZm0WkrCtMwDbiiec0aYswpoUyslDuMT+oxyf/0YZP74jj8CQZiM3EKYth9lIh4Vl1npnckWT1xaf7URPOljr9LkuC9xqsV8S0S0hs62W3HbXJ1Jamp9JtblXrnmZyoUmTlzGqgpChsYo2VBIE/9BtRVXFhxCglCGOJbgELj07XVEMfDZq7pwYAJ69SZ1Ex3zJfUiwYAbGuDJbVCdZKlvibGushVKAiZM+ATgShVGISQBN0FmehFt1kvDXRIXrs3jLWeU42Unl7e9uOPWypzF73xpgANAFBMQUfvku8/tWhfUwtXT1QbcrkaaVJCpRaIK67RWlUocNrb1Rsqh1PPMUqIDZYmVRWUSESf49o05XHdbDgE1jhsD6hagG2pCs6WPM9ybpGA2PJyaoE+bkphbo01JZlJWLNf1yxZRLHqZ8uwWbbh1M5NDWzkibeCTpK2IJOZ9w8UpJDEWXoNcSqWTG05OmMatBGKAQ+D9F9WxbZeDK79TRASkEoWUymtjVqLSOnlpuGD2dmeAT9L80YhQBJLAFUoQ8DTYuVROIE5Ugg1nEmUf2LPfw/3P9D3dP1z/5GB/vuO57Qjwj3/4Atx313WxlCOyPr4HBb8J14nSxWSmoE6cZtGYmGySOmcSqwzATlZFAorkEiegJxApyBkATvCT+3388PY8molQbFORdmpCiVoTGetNOnFvHDtjp81Sk+w+OxYjeb8F2S8F9KxG3OH9DKCz4aNJvZBWL6cGtZREVZeSFETE6b7EgltZQUKqY5WKAJK8pkmYqxdLfPDCOh59juP2B3yFXSMXCk1TEnAD2QAU0vLUADy9lpIwRJIjJlS7/RVd8UyQCk1/+0QVkETinPXz5ePPifh3PvyO4wc4AJyy+ixIUfthbf/mpTI4XJiu5xCEXEt5CtwOj5LW16bPpMN1v3ceq9R9iCywpYSM02KSMvPTsxxdOSIJbr7Xx+V/W8YvdrlKDswsJBnsRSV0tB8nlvUmWe5NZgA3tQBKZgC+Qblt4VuBTNC+ryO4W9yYmRJuaNHAjcoiO4He/L2yyhTIcHB1rKplSIix7DQBtNDufEJkYs2FseaqQLmeJAKrFgX4b5+ewmcYcMs9vrLizPwYa/pLcwY0jYml8QSlxxigJ5FtqnW0pA5C6SCWDJE0MVi6BIUApgOC6UaEJYXe6hnr1v6wXMzNeI5nBHi5e5584tFrr2o0Tvnkjuf3FtYsjRHHHhgNwajQba8DcB7BYSFyfgDqRmjWBUYPUWx+wsGLYwzcUtqFkBjqi3HBWQF6SgL5QgyEBMIENdg0gBIQTnDjPT7+0/8oKXA7WRqStd6puMwSgKe5lW2hsLb3EGpxaaskKfhJm0VvBXAboO1rPCO6Z5gBMvuHqWqCrJrSUm2V6kkADW5bTVGg1b7LThbcFBNKQK5sktAfQATTORASNJBYORLiyj+eAgVw82ZffVFKUvCa3xUCiIBcIUZPT4wLzwowuzfWsqQGICd48QjH5ic87B1zEVQdgEeAF0EwDw3JAWipl0k4DGgIgQ2n1fCuTYvHnt32xFUfft+lM57qGQEOADE/G9V4Cvc9tR0urWLeYAjPDZLe7q4TwHMDcK+JraMEj+9w8NCTPp7Y6uG5vQ4mplViQXKxhEB3Icaqm0KcvjzAWac1sW5ZiIXDscoO0eUKFLXW4P56Cc/ucJSQnSwqDYezubfaT7S15rCsdwJamQG17ShJlkIti0tY+9ssd4tUmBkvg4e31vizFZTkdRIjTqw4lbTdnxDQ6oi12GStMSupXi5bFRWdDWwDHzq+RYLqQCelvCCUWLUwxF/9UQUSwL/e41sngaibtpBYMBxh3YoQZ53WxOlLA6waidBdVJ5X8+MoBSamCbbuY3hsq4uHnvTw+PYctu3KI3ZjSMdDEx7qlCAvCXKOwMJBgveeM4h3vm0VcvnyMc/tMQE+b+5gE6L2+2etXvyjON5SYKwB1wnhugFct4mc10CtEeKr38/hjofz2L3Px0TNRSPgSr6gRJd7M/emGEcqMe563MMjWyL88y0x1qxq4gsfr2DNkghcl4mTFLj1Pg+f+3oRW3Y46n9lRGnLYtv0hCg3RWt1KjszhyaKTYsy0sK9Ye9roSGacWdVQZLuS1++NMTNnT1RT1rekxmLboAu26x4u2VX2TZKHoQFaJFabphyzCLNztcLUCmp+hwhIXQBFKK/jBQxZACcsijElX9cgRDArfd7MD0UOZNYszzEF35vGmtObqLLlSh4QByqujpSMCUdQlXLLeck1i8XOGNxiEvPb2J03zTueDiHv/lRD6bqAsIFasSFRwnKMQGDQFMuqFZq7u8PDA83XzHAXTolli4ZeWTe7Hhq/9aHC93FKRTyNXhOE9xtYLoR4y+uLuPaW7owFfoAdVU2hKuBZy6ZFHrTccVOhGpMUJ0iuO0hgmef5/jIxTX8x39fRd4Fbn/AxWf+exm/2GkmSoulNtpHyz7DvfW6VHnQkNIUY8UzTh0AnZIBiAXY1IKTzDEp7JB8fpvZ7rCvhYVYb5BMiGzm+Az3tjXydk3cLD5Tr6Zs8XBqHk6s5zKtPU5s2qKBLSEgJNXZOkKtB0KJkxeF+K9/WoGUwE8ecFHwJP7DR6v4nYvrmNsTgVOJOGRo1jhiwVXTLKGBbk6OBEAkOIvR7UcYWBpi5aJpdHdF+NK3ezFVixHFPiZiD5FgiKmDFaeeN9U/a/4jo3smBY4xjgnwrp4+AN4RT1QuJfOX3jW66zbnwKTA3IEA9z/M8a2buvHgM12oyRxIzgehTNWvICSBdyyBSOurUugQVhEACAEiEQmJXYc5rvp+AZIAa1dEuPyqIraNMm25DUosPRW29aaJ6TXWm9syYJv11vuANjrSSfrrFCqbYNfsaKEoL0cibAV9K/Az/LvFyhtAZxaeQEYnz6a2SU1lslw8+1wHYzFtxXW+J2E0+V/KHR+rzw2BlQsifO0/VHD514tYtyLCn/x2FV2ugIgkooAijh1EgiOOOaLIQSRMhTSq/x8BtEOQNYWiv26Aj17UxPJ5h/F3N5Vw71M5DPUTHK1xrDvz7eGLE9GlG8rlI8zJHfO8HhPghPiQ4TY45aX7Du0Ld3zuH/cuqzbGcNm7D+BH/5bDnY/2AMUiuO/CZ2kaGNWyoITig4EAmoKiHhNEJmdRCoDECdqqDYIHn3EwWSU4dJhalq8FUcQGdUpdEuttKSYMVn1BZDN2Om1ZsJM245uJB++wbyb55LilwlbAS/UBipTYerhRVNo18gTAJAW30chTEFvPhfIskhZrLnSRQWJ0bV2aSnVRM5ZXaN4OzB4Q2LQ2xIqFEQqe6vOjulIoix1HDoLIQRQ5CGOOOFY5nkpJMwDXjXy5OtZ3OTatqyJmUyjlYnzk7RQ5fxBBadkOr3TSvvse34Pz1sx/5QBXV4fh2n9+bLSrXPr4By9cu3kwdxuWLACu/VcOuHn4roeyA+S5hKdjq83tW0oglhKRIGjGSqivxAyRdBRVAQEi5aF621lNfP3yCgZmxSjmJb52bQGNUKPWXlQmKzzbiqe0JKUkWeDa3NvO2jFVOzL823DumXi5fUwLLM29K+XtM8Nb2k+ySmoai2Lvg1FKBBI+rlsNmmPShacpu5ACHZnkCE1XkKorWSeR0mVkK5XRIDeAJ1SiHlB88wd5/M01BQzMivH1zwJvP7MBSiSihqI5kWAIIwdB6CKIOOKII4ppElWojJTpVB3DdRyImMHzBDwa4J6nurFjtAuf/dg5WLmQfbxeu2+0wk59Sfi+JMAJX4ygWYPj5va/OCrumdzvbYgiAco8MMdHnwd0uQIeVxKOXe3JBKaHAnBjZVkFCKZilQ2CEJjfF+Ks0+r4z5+oYOm8CIQAl723jp8/7eL2BxjAZLsZBcmAmyBVS9qL5ciO1KPjex3oSYJiW0FpXWAiOzleDUVJ5cMW3ZukwM9EFhKLdxurLdLjjQeznYdrrk06UJQOceUmQaF1UUFcgrsfdfGd/53DRJ3i6G6KT/1NGV/6BMH6UxuY2y0QRARxrADeDBw0AxdhxBDFFLFuv5IYDyLhMAHXjRDFDDk/hojUb63EJYTeknsWLj1nf2W6gXIp95Ln9aUtOADXy+PnT9z/AqHdVwVi7YajR3YjhIcen2AgHyPvSHimrqVlvROAxxJBpGxbKCTqVHXEWjKngcs/ehQXn9PAQFcM2VSYXdgX4T1va2Dz0y4aAU3XqzNodZQYWdDSvW2woyUOpRPPBtrpSuZ90mbhE/5tvzYgRcu8nAnYtn/EOAJhWe4OE8H8XYZnI6Up0gZ9opWnC07Te9McZ9LdshPCrn0o0uwcmc5gyoD6NMGNd/nYOcYBVxXX37qb4U/+K8fF51Tx2Y9WMTIgUKsxBKGDetNFo+kiCCnCiCUAN+eBEJWG5rocYcSQ8wREHKOvFOLSdy7HqUv8qx5/8r4X1qw+77gMx3EBHAAGB5YCrPcRr3fqhmseO3DJnoMHMK9boK8o4buAo3vQGMnL9FKJdCesIFIcqykIUBFYPFTDX/zuOC49vw6PEEQBByBBpQDzJM4/s4FzVvi481He8i2z4Da6d8ZjCQNSeQzAWu/ZcwcASflFVkVp+RqpLZthldkK/GMNy/HTvtDsoGdbx6pULl2YJwG0TIP9rMlgW/Hkf1rhtGk8i7VpHTz9HVqjdyTuf8rFzx72ICKmgkfAICnBoUnge//moBlSfPFjdQyUBY5MOqjWPdQbjgK4tuBxrJtr6f/OKOA4AvUGhxQUs7oa+KMPLkHXwCk3LFq07JGp8QqOdxw3wOfO6cf01M7RQmndp0YPPstGemsXl90minkK16HgOpslafMWSyv1nyASEr4D1EKJJXOquPw3x/De8wRkM49aTEB0YBaTEUgQYfmcCO+/sIEnt3sYm2aAawMpRSOB9hbbValIu/VujfVus+Lm8hnPZftHtXPyFh5OyHFBuSOos7PDTrxFh5oiJHHNq/dJuxW3LLjtmSQWPVHd2gCSAbNlqa3/geQz1a9nXOLIBMW/3Objub2O9jKrNowgDOAUDUFw3eYcJJvEn14qQYWDiSkPjUDRkyg22EhBbjqIcAZ4Dsd0nWGofx42nDb7pqDnrE9t3bl39/JF8157gANAsbwQd21+aPeH3nXmMz/1qxfv3r0LxYILzlXOo5S6hkUkkloWpuWbWhAR9HQTnHUqsOn0HGrVHKRMq8RyFqmLFwOuH2JkXoiegsDYVAsAjIpi6Imx3Fa8t92E1q4Om7ynwUhnAG9HeVA/aQOy/TrLYY4b5+Yxw8Otx7ZIQoL2SZCA/dhWPBsvbnk/dYyKiTSkLYCX1uQjVBWhH93jABFrL25KuCqvJglufriIgtvE2csKEMJLFsPC1EuJVGftIFJ1UKRU18XhBJwJEHcx5izb+Azqj+5evGzdyzq3LwvgALBk0RCGh4evPHxwdFHRr30wCqbAmYpIjmKCZgA0mqo4SxTFMFlElBB4LkVfN8HCWSUcHCPI+014rnL5O1y10+AEEEQ5hUy/lxQ59kYteiJTno1sxGCnxlEZFSUDZILObnprUdUC6k7OyleS85DRuxP6YVCenQjmeAXqFHQJYInt2ZzJimuqYmqmtDiBiCk7oVes2euQ/lBiAnuS6mEuCHPgUooSlyg6EiWXY+8+jqeZg74uCs9VeanQ3yuIgGYg0WgKNAOR1DqhRGKgvxt+cf4Ph+afduXBA/tf9nl92QCfM3c+7rrrjsm+wYWXefEv5jRq0XlCSMSSIooopqoU4xUKQihCZnRZgHOKvEdQyEk0mhxHK7mkU1h6vkwsOIUIKE6eH2H5khDbD/nQvzhjVhN6glYVRbZwcZuaHMN6tygntmcyo4G/Aiv9kqONhmSB3KagkJbnsPi55ek0wM4uIKHVEpHSlYw2btz1yFIXaXRwAAL4xfMcW3ZzpS5AUxTK4VKKsiNR5hIlT6I7L+A7BNV6DIdT5CIGztVPNj13qrUYR6cjTNfSuz+hFJLTe09avOCyzXffUdu06YLXH+AA8Na3bsLYgZ/XsODCYO+27yEKx8Eow0SFgdICKjUflBJl2bV06DgEnqty8GJB0AwpmgFPeswTYhImKKRkiEKKkTnKcXDrA+rkq5Gmd3fqxmBn62SsNpkZ0Jmkhhm4eUdLnllotuD15eB/Bk9PorDoT2wrypmx1AbQJF0oop3aCJEusA2gjYpCWmkMWhebJPltsQC27nSwey8HCgSmTAelFHkG5JlEzpHwHanYCyWIY3VnJ4TAlTQ5R6rGicBkNcKBSYGj0wxCAiNzu3HJr7872HsErwjcrxjgANA7sBhSiof37T1jfTB+a+7Q+FHc8kAeUeigv+CCM6qBZQqYp6UZFFenCCO1OZyBC+XZEpIltfSgo87MGid19NjJxO31TWydO+v0mUH37gRoW1FpseQZkFsXvRXUx2PobWePbakziorNyY32jZQ/J3zceD0Tt73t6NGgJakeTmzu3ZrHaUmF5rmSFpV7PWFHzJxA5XhzCIFLJVymSv45upGAWaOZcmsRlYnqxihBfzfDisUNNDGJmx7wcfhoqXn6qcP3rly+6GFqh6S+UQAnrBsHjzQ+3z30Dnnr/Ts/fe3Nz/siKmJOD4M/J0a5qAvmWypEctG0rJU0MBVU3Raldt0aa5GkV1LlGEpOZFYezMSdoD1TPqEjGWVlZpC3gjnzXitwM6tL0sKaj41viZfEfwb4yU2shaaoVZ9lpaGtscXNod31Rk407nvj3LEtexp0RXUis0iCsdT109collZbSa2uEKsdjFVrhiQ/xvpdmthTSlDMU8yflcPwQIS1J01i58TwWBgfuGR4sGv6pU7R6wJwABjs98WffOXHXxLBwvCclfTP48Zh13cpCjkG19ElA2J1kmOKzK0vqWAkTIew7G2QMYlDhylG93N1gVqdO7BjvmVKV2jKwRNAt5aGoC1AR1YaNBMio5i0gLtVRbER+0rYuWx5Lmc6TgOdWJ9nuHXqWpcJ0O0oLpNYlXRQAEmc/gQkkRsTq53kcxJQ4/DRQCeEYGQoRv9AjCPT0PmZJM1tbVnY2zSQUoCpPEKIWCCIJSo1gq2jeezY52HZ4pOCizf0frur2w0uezUAfbUAB4DzV5DAzw1fMXGkGezfV/3y+NGI5nMUPSUBISPs3AdVb4NQDebU0sACtLm0RphyXIGnnuF4aouDpPJLklCcjfnu1JU4u3XwYmYWnlnrnXlswXCLiJAdNmFvG9mdUrb8fQs1ScGsXfb2fmT1b+gFJslYcZ3lY4yKkWq19YZIww0SyiIMLxZplwgpQXXMuGlVKCQFoQSnrQhx6sIId/5caj9FOjFJ66YBTimBwynyvlJ0duyPQUSM7iJHo0khiS+6B+Z9efuBhf9tbMtk8Grx+crJjR6XXPJexDKoz567+IbS4Cp5aCpCTynG0pFpTDYmsOtAE5VqhCAUicaZgKOtEFCqpIBINEKCZmjlXOrCPp1663Rq/dcKdIvhZKRB830yC1CLYRvVZKYAqjY8y457Ow85w+Gy/WVa5oxk/xYpkFOlhaR/k6gopj44mXkTaTShzOyzaozrOuOeI5FzY8AqvSn0naM1v9ScY8YIXIegqyCxeG4d5a6j2LYvwkQlQnepjk1vXSZXrhi5IQyr9Qt/7eJXC89Xb8EBwCvPR67c//xQVPjkWz35rbJ8kPr+Ydz3XB5HDhPk3RhRxBJNXN2mdHhkpo2JqmDlOAKTFeAn9/sYPaK9ZLo8BEFawJ6TzhY6U+8vqcTaAeyEZMslz1Bw03znDA5fCQ95JaOjVbcMvgmZ1VZcwBThhA55tWaQzoUksHi40InHMFTN0sEFUZItkboVYWrBw4BhXn+EC86p455nCpgKYoDFiCVT3mut2AiT62Jde4cDOU9g3qwmiDOFu58E9o2V8O4L14mVy5d+cmj+/Oenx4+8JqfvVVtwANh0zkr0uFPByeevvXrtcvFnPX0c37hJ4rGtBTjMFEpMdWhTPplb5ZXtBq+URZhuAPsOOhCh6W+pLLkp5tOpt44qF9eZmtgg7+iqtxWUjD6S8l0b028UvvVHt1v0RClJt5T+tVrwNA4luyFZA9nWOrXitrVXQoDQyQpxrNpKzp0doeRHgIgBESOSEmHSuUF3eJBqM9GRyphIRDHFuiUS//6dB1Huy+O5Pc6fDc0/8+o9u2tBqe+U1+TcvSYWHACWLT0J4+P74tKKd2/fdmiosvPAT0oOKnC5ui0x3V8zrSUuwHWJCc5jXWclAmchOIvxs8dc3P5YXhXWJKZ5FFUlvrT1ZuYOkNwRUsvdqd98Ftwkw8dpB6udjFZe3YGHZ9SXVwvmGfYnxty26tJ+SGVCVSzfxIzrApaQSX1JNSgIFSpJWP89gUoUTzyepokVUWWWCRVJ+5OwwXHB6hBvO6OOa3/iAyKAFA7qgiMngCCWcGOCMFbd0cJIS4SxRBQTBCFDI+DYcMog3v6WDZX+ofXb9x/YH88fWfxawfK1seBmEJYHwvCmd206+w9/97c2jc8ZLIEihusQuC6B50jd60fAc2K4TgyXR7q+SgjOQjhOgC2jBN+/vYhKzQF42nabUdV1OgG5Xf7YWHFj0VutOe0MbkpbLbjFyUkLNbGO6/j7M2B7hefwWDuShXn6qDZiHWIW8iZ4yVhqpP18BGnbYkvNUhF+imvHehMi7esT6y0MOUo5gt+8oIqVI3UgDCHjEA0hUY2Bhu6CFoRAM5QIQokgFAhCIAgJmoGEJL3on/vu8XL/xj8cG2vedDwx3i9nvGYWHAB6unoAAPsOTX33PRecx2kkrrx3890DvttA3qMo+AIFP0bBj5D3IuTcMIlFcZ0QvtdETcS4+sYibr2nCORdpF2JqeprqbsSM0sOZFaXhqRQP00DsFKgk451UWynTmsGjw20LHGxQKcUulS+eznjZf6B4t36s2TWB2T/UyGl7pupMnuoOYgCplWfGhRaUEx/v1CWXOi+lYIQ3fNe6raEFLHgiGKBZuDiXRsa2Lp3El/+eweTAYMgDFXiwCGqaiyjqtSxy5Vxy9VjVOsUgvShe3j94TmLNnxWxsF36fDgawlHAK8xwM2YM6uMiYnJa973rnMoi8a/su25xweKeYFyIUK5GKJUaKKQayLnNeF7ATy3Cd9rADTATT9zccPmIuA5AEutd9p6RFETnjgSskV97NYjSUF7gpZ2fG1hLRlw2/rWS8Wd2JGA2QXocblxXvrwGfYrvBJNSvQeOxWfKHAnIQg0jejUN4Jk7Ul0F4hEOgQFgVBlJgDEWu0SRHFvSiRILEEIB4klWCPGr29o4vHnKvjRnRTNkCIgwFE4kFBOIwlVo5KxGJ5DkPMd+F2rDg/M3fC5ZkNc4+d6Xg8oHqOp1ascV155Bd72lo2PF3LuYc6CjTk+kZs7q4nB3ip6uqooF+rI+Q14bhN5vw7KG/je7T6+/I+92HmwAPgeQH2AOXAYQc4UY6QqNU71t1TrT2aed9o0uCnJdnFI1ROS9MBJaAhaKYrlCLLjxTN0h1iThFjHko7H2NQoCcibQcWZaWtfG1hURWq1pGXJnL5O9yVhwNbuTkFnaZixTN+Doj79PQJrVjYwPiXx7DauwqRB0Iwp6qHawkhNQpfFWDB/7vjg7Dmf2b17zzXLlp/8esHw9QM4AFx77ffwOx/5jae6u/J7ZvUGF3ruC15X+ShcXoFEHa5TR7HYRBCF+MFPfXz5270YPVJUjTkNuClBjgE+lYkFdxJKong4T2JdslQlAXfLQjOhK5ZV71T4vlUDtwGPNsBr8GqgGUBjJoC33E3aHFAtE4DOAPBkMiZwzTrPTLJCui+7Wk7+zrpTEWtnUtIuc0ez6Jr+zSIm6CsLrFmhQP78KEHYiOF7TXhuE4IEiBAiljFWLl5YWbJozh9GYfS9Sy655NUsWV5yvC4UxR6L5tTFyGD+h5ufGoiuv2/lPz2xZYcfRgFEEGDBUBMb19Tw00dK2PxkEYcm85A5VUCIUA5OleX2qVS6N7W7osmMpc5o4ck+YvFyy2Lb4O2kfMzALDJOKsN/DbfVPCPJq7d48rGYCplhXwJHYllLYr1u/W5IQlL0a5JImyoJR3HxxNtJs3/L1CEgUB0ZVC9Nobm3ajFCoENPWr+3kRElxVBXE1/5RAXvWN/ATx/xsWFNiAWzY4RNFxOVArzCssa+8f7f3X6g5/pyoXLMoj2vxXg1itZxjw/+x+9j11SBnTl78pIi33vt/c9s8Tc/WcSs7imUvEnsPeihIQuAmweYC0YN505b/jkkbR6lLLZtvS2wM0NNSAp0aix2Vvu2L7B9QjLuZsuCpxY3teiG/iTPzZa8R9J23zRtQsVa1gnZRbFM32txVCUtBBMLLmcMzc1MSFh3A7vHEjP+A+ObME3EdHMDZqoJ252pY+2/SDtRpxWHA+T8OmIE2H2YI8d89Jcc3PZzD9RZ11h7Sv+H5yyp3YAqj0nxU6879l5XimLGs/dfj7+9/H1y+xO/9dwH3/f01ij239WoNJwvfmQav3/JBO56JofD093grg+fURSYzHDuBNDE8G2ZAtlYcpbycEqJRVtUOCZjWbAr3m1oBbEsXxbsBhg29zbI78zPyfFx8A40JONJtYIn2+q8JBNVZgCcfH87lts8tjp/DCeXKS1J2FcyebK/Ob1bGT5PtSypnUBSyYiMSrywl+ADX56NR56djeHuEsaj5bWdEwt+5x0Xfuz62287JE5a+dE3AnqvP0Ux49IPfgCPPvT3cu1Zc3901d+V+G9dWPzWvIF6VxhPQJAcuOOh1wU83U/TnPRMtGAm9iSrcSdNXCnJLD4Ti9myOMzEYUMHLolsklgiwUnLshNkJgNp1QeNjtcmYM98s7TZcVudRPs4+70ZwZ1m77TWOCQEynlDVM9KKSkYFS3fTRfoJLq5K007tMVmdgnVUU1IAarbn4T6/3MWg1KVW0kkx56DRbxwcO7kKScP/8GHf6vyo7+5+nv4zO9++I2C3Rtjwc34h2/fjG/+w7vw++8vPTOrv+fFYlfXxm/d1MhvftrFLJ+jPyeR4zKpr2JS0TjN6t6cpZY8sdJMeUxtcCvvqfKiJpZcb5Sm1rRNSG6hufaiy9bDUwtvqyeW9Qax6EzaNzNDd1r1+MzCsoWe0M6LzSzIsy74WLvfYzsk2QRlGdeWtQ6xk7Vtx5b63klOj5VqqMqzBRFHo6mK+sSCopQPMDJUQt/s9WN+fs6fPva8/z23SfGhS3/7jYTcGxpSkRnP7aiAMuey0V3/dsV/+eZ9A7XxafSVGOoBweGKqqdCYHspZWYByS2Aq03TEq7f13VaGFNW3DRzNRfMLMpU1r8udaEfM7EftjVtVUAM/05kSKPYtLbtzk6spKEBRWadwFr5dyb8wC59kUZMmpH+HpKU6oh11rrNxU08UPIddNNezlVTX0fzbtXoN9bPVV+mpP+pCZDTnfVAgDhiOHI0j0bAUMrX4BcYGrmLDm9Yv+nPgfA7hPSdEJy9YRSldSxfVEIcVb5z0pxN5OCh/Fc23/2zAZ9VIUBw77YQE+MMZU+D2FrxWxQ4AzZKVTyWCaZX4CbawtvAQ8JRhJSIYh2oJLIdE+zPMw5Ai5SkZRoAVTebWDVEOsSK2GMm5aRNg0cnay1bFstSfwxJiuBDW/EoATnSICdrIgomU/kwVv+FmgW1kJBUVZFNfhdRnD3W7n8mFdgLfhMvVhke21ZCs8lw0vwhrF9+7uGu2Rs/N1mR3+kuH7tI/es5ThjAAYDxEqrT1asvvuCsaOGQ+7WxF+/pccgeNFgFP7ijH705wHfUQlIVh0kD+YH0Fm8stLLsBNyAm9uWPLWqZrEUCxWLLoRCgMoZ1K07YDgrEj5qQG5yHQlJn0udIpbEiJhQvwzhT4etbKSLOitnFDIDYtvymuf2+zLxaxIgVpY7jIAwSpNMbLrDmUyoSvKdQFVlYAFQofprMkoAnYNJifKaxroiFWMUlEqUCk088ADDLQ/HWDEygLeev3Gib/iMz3BO/sn3O3c/e6PGCQU4ABSKBUgZfvesM08f3/v87sVHq/1/PXbbPY5DJHwOlHwVyzBeBaoBURnaLeWQ0x7zKS1xDLiZyu5nCRdXQAdU5dsgEIhiocoXxEhqcgAWN9aWzSwyJXSWv1CTL6ksRdJMdi1DHzPwyl5EJla9xXIbapLl5zKlKjTlzYICRFeLEgJohqpOjdCTzciVjKWBVyYvkiSWWzeOFcrVL/SEJUTqqE+Jat1DpeqpEGci0WxSdOcivH3D6jAKc5cvWb56O6Hev/q+c6LhdeIBDgCEOOLo2JabRlZe5B59ekft7DXFb+4/9ARx4zrtKzP0ljk2Do/hB/f6qFR8uExa1szSnI1cqIHMGQHnVG2MqPqJLJUMpSRocKILzsRoNIUuHZZq26YJmPFIUDsdDLoBlEw5sNRPTAy2PeSMv7+VltjZTZ2qBQCEWski1OjiAq5e/E1NU0zXJBpBnICb6kW3Iwi4SDPv7c+KKQEzwLYyeyiRyHkhJms1XH9PL+b1eegrq+wrxrvFmlPWSumt+CPhrfqfu/e9GKxbveJEwwrAmwTgANDdtxJPb9kedJcXfHfFSeQuuqn2/smxg/9l//5DGBnmuGi9QBXjuOamIbWgY+0LNUNFGCXgPAW3wylcTuBw3WGFS3Cuyhp4jsB0M8aeHVJ38rLVmZTOUIuaAEiyaJIGrCSlJqaXI2AlJZjEX3Tg18guHDPaOMlSlISHa3AzpjYTZ+9wgZ6ywK4DDnbt5/AcqUDN1Z3M4RTCoallNpteQDOm6A3TC1QqCKJYad2uE+LGByT+7UEHm1YLyFiAunPBCj1/saB3yY+8wsieODoQzF/45gA38CYCOACcsnIxANRvufn6bZ/+7dOuuPqG592e7u7Pzy7tYQ4LUK2p/Ie8B+Rcy6MIk9GjebgBN0vB7TqA6wCeK+G7EjlPhe7OGaihKiq46edFIPDQl1fFapKlm461kBQ6W904OQABqWuG6Cx1QrK1TczoZLqtlaYN+NZeQrRVF29x+DCqao+4TgzPjdBVbCISU9h2sIAte3owv08i7xH4LoXryISS6LOm+T/Rk0ZVQRAsTZwII8W3KZEII46c38B0oOpFnr12UTxvuPcvn9676oqm2BW/453HXxTzjRpvKoCb8c53/wa+893r4k987CNfnJgY45WDd/7Z9h1T3q33R+gvCAx0UeRchkpNoBmJxNLShJYoa8UdZbkcC9w5TyLvCRRzEcrFAD3laVx87hH89CngZ4/kkHdEItExmvagBFJrDNjJvjpLhlogl1bm+zESkGcOrpKZjom2TJhOBBvkynL7rkrcvfPxEDc+yFDgBCVPJXsLIXT5DfPdGUxsoYa6ctXHOkMfynXfDCmmqhxVn8FzA1xy3jQe2V7G6jXnNC+4aMNXe/v6v/jEw9dj9Zm/caJh03G8KQEOAJd95FI06hV4fv3zXaW30wrmrZ83fBudVwrWDxQrfFYfwcNbBQ4cAGZ1GS+aqoHoMKaAzagKrWWA60idBS6Q8yMUciGK+SYK+Sb2jgkcGANCCYTJ4gptHBowizKTpAuTG6YTdY3MqF6n6qZEaw3kNu8lUpqSRj+aljDpQrP11kCgObhu/cFohDkDAYb7A+w+AEw1lLcyCRGmuv4jNQnXFKZ6F42UrKqSjYHechO7Dgo8vi2PngJBsTgUDcwqPfDFP7pUDA4uf2Cshs8fPTqF7u4TJwO+1HjTAhwA/FzJPP3cv1x/E/7g0jNLcVT7hzwZ/QDks/SWJyNMNcqY3W14pqpV7jpUW3EkeaDqNq4zSlyBnBch54Uo5hp4aAvFo1td5Fzt4kY7RzbDlgAp0UXnhQVUofYbl7mdHJz1hHagHBlFKF1IU/sWglSrT8sbp983joEzloY4d2Udz+6SmA4IfE7gMJmcC+UIE4gpQUSsmoZQHNzTvoFCPoTvj2PPxCB6epeKQu+i6xq0+Hvh9HhlzqldJxoexzXe1AC3xwd+42Ic3L+7Alr4Y1due2Hzo/VVhRK5JHdkNwg4GFPlmQs+g+MQ3Y9eWS3lxte18rhQfNWL4HsBJAJUA0DonM+kBHMiOypeT7RsYlt2xcGh+YJK76LEUlZmlE3Sh3aHlbSi+xTQjZQudYF4VcSHaEDbuZckyZ8segEIDVANfRQjwI+AMAKiSCLmRCXBM5UEHMcSIVX6NqMEOY8gCAnGjgKrTz4JBxo9NyxauOGZk08e+dup6Vrl1MULTjQcjnv80gAcAAaH5gPAkbsf2/eF4SV/OPLh9zyHqcNbLtm94wm8eDCA5zjo7SLIeaoUWF33/DEuf86V29lxYjg8QjEXYN+RGPc+XoSIXXhMJVMkobhMtWbhDADRbVkiFUZgArCo9uub2iJCW92kAmyiqGRdnBlHD5Cx1qZYKaciAbiQBJEkELFKCiYCupqVBI+pcr7EFGHEwRjHhtMb+N/313FowkeXRxDGqldSJPTvgJlYBI1AYLoWI+cRMMrgOSHqsYfBeRvRO7Twhk9etvBPgdooIbNONARe9vilArgZb1kzBwcPToyOrF/1mWaVfPfo2pFPPfTo7o21yZ1YOPsQakGM50aL8BwHtEABEF1zReqKpwIuj+F5AeoTMQ5O+OBwklK/DlfdBVyHwHM0wKELtevscCFT5Qbah6jKLVjl6YDU62ONLEWRaVis1raZJflxpqy5EASioVp/NEMKIgHuqKnDqUTAVVOnIGQQwsVgV4Ayb2A0FGjq0g1qsakL/gBglKKQJ+jrFrh/SwOT+yXOPqUfS5afiq6Bkc2Ml/623LP0qXo1HM0X33wKyfGMX0qAA8DgYA8AvCClfGEu8MyR8XuG5g0t//tDBx8/6drvPcHGDwVYPg8o5LwkKi4J6ueqTR1BgOd2M+w+moPvEeSZaofocpXz7DsEvkcUp2cE03WBw5Mxpuvq/7lMHWskNiaUNzGjfQMJH7eHDflWDp5If1zAdWM4XOjPcHFkkmOqSsGZhBcT3e6DgXOJZqg6mdXqLga7KZYsqOOp/SHqoae8tFalKUCpTjkfWDHSwPBwDfunz4nXrDrlhd6y+MTpa87dD2CbXRP9l3H80gLcDH0BtsXNsW1Cxhc1JZlz2W+fe90dd9xd9nG4QNAEQLSeLHWWSgzfCTExHeO2B/I4Mp7D7B6lf3sO4LtEbR5B3ufI5xjKeQruNPDCRAM797vo9ijKHgBtubkulpNt7ZdKhm1SYYeQ12QS6gg+z42R80LkcwEKuTq21gi27BwEpx5KBYp8TsWJUELBGIPDOAKXo9pwMTTA8Y71NWx+po5a00OoG4EJQ1GkRBTFYKyIgaHh6sZTzp16YW90aV/f4n2csdFfdmCb8UsPcDOY14d6U46uXD6wp9RdOXmgC2fnXPzj6Oj2qDK+rbc2PV6SgoDSSDW84iEeehb48f1dcF1HJTbzFNyeS+F7DPkcQ1eRoq9LYMm8AKuXH8Knv13G3gM9Say6w6UGN7X0b+XxkfaKssNQnsRW17yaiI4TI+eH6ClNY89YFX/5z7OAOrB0OICUDgCmYmsY1fE3An7AEYQc9YaHX19fx7/cPY27niyhGalWIZQSOC5Huauvsu70ZeNLlizhpQI+Xu5Z9OCavtIkAPGrAm7gNa5sdaJHziMghIiSV5s4aeGc28rl8tKf3HbL4nPf+v6/7Bta+6xX6H9irNbVYDyPSj3Ad28voBkUUMgphSXvSRR8pSJ4rqImOY+gmJfoLkXw3QirFwssGphCNQxRCSkCfeu3/YNA1ilkkh/UGzoc13Lbm/LNyQFE0xQew3dD5Pw69h4RePKFPJqRxGQ1RrUeo96UaAYEzYCg1qCYrnPUm6pFdqXGwIiPD729gi6vga5SHitPKjQWjMx+4uJfW//sxz/2ob/88fU/XlwolJbmi3Nu2/tidYIQ8isFbuBXyILbo6d3NqBcMLUD+0fBOf9rQuhfT9GTGXKFb/YOjy1tNh49L6QNtvFUilJhGlu2MeRcD7O6uaoIJaUq9csJ8p6qxuV7AQgF3rO+inufaKIeuoiEClahRAVxEUKSDs9MAEZhMRlEpk+OiTm3C/SLpF+kAhmnAp4bIJJN3PxAAZFkqAVArSFRb8bIh0yrJwSVGlBtcDgsQm9XAw9ucdBfnoeh3ggb150Urzt5+b0Xn0e2HRmvffLIBItzOR9X/PWVcsHI/NqJvl6v5/iVBLg9Zg+NAKkxjaQ89HuA2/Pi4TP/auH8n7lzvd1xTZbWcOqeMdJdw6yeaew+ADQaXHkGGYXvCRTzIfq6aigX6jj35AZ6C9PYXy0gEgqkLlfxHlJC1UInEoxSADSZKCBahzZx1lCOF98VIARoBBRhzMAZoOiUhO8FmKyHeOAZF816hEPTHnrzFF2himfnTMB1JCanmxjdH4GzbqxasRDuWPTzbfvKj73r/C52xeXvCSIy/J+IrE+cd0r3ib4kb+j4lQd469Ba7gSAPwCAq/7XrfAlNl40T164Yk50aSOaXNa9u4EXtr2AWh1wHQGHNuA5U3h8RwM9RxiWzvHw8UsquPJfyohEHpwCvkfQU+boLsV4crtEs6F0d0BJjl1FCYkYowdiSEHBKAdA4DgS3aUA9WaMLbty6C4wcEZRjlUT1DAO8I3/04PDU0WsWzGFnMdx4EAORZegXKDo7XYhQLB69VLMXeygmOvd2j+E6963onm7EGQz774UwOtfnuHNOv6fA3jr+JN/9w4A2Bw2JjYDuOfwVLB4ZOG4qFf2CbDZC9ev7v/zoLYbDVTxwzsPYH7fFOK1AS48vYG7n5zE87t83XaaoK+L4tSlVTy0PcT4tI/uorLuDieY1RMBrIIHn6PgwkMpzyCkojW9XQ0cmpzCo9sGcOoCF4UcRTMkAATufxb48Z19WNjDsXFFjA1rc7j/FwvRrLpYtWIeZneNX7Fz78Gdy1edR/v7umm17m8PgdtouedEn9o3xfh/HuBmOH4PANxmXsfN/aCO2z1x5OAD+/dQ7D7SCC/YeManl87DBQQCvQMNfOw9t+Jr33XR202QzzvoKjvo6xpHrTmNqRoDJUAQAtNVCUYjUHcaY1UPBTBwqlLwqjXAYXWATuFofQCEemAOQxg7qDUj3L+liM99/NewYNABpRQrFkY/8crjX9uxp+iceuoKDA0NbV4RBEcXj/zyeRnfiPH/AT7DYN4QABwFcCMAHDx4AJB4znOjwYkpiO5SA8sW3INy3kHep3AcjjCU4aKlp39pw1mNdx8+7IarF7k4NNVE3nExa5iAedM4+wyOIs3h9KUC+dwUDo13o9Q3heFS3XnLxpGb6dhzX+LccSQYIuFhsp7DW89eheEBD+PThOZzzsHTV8udv3bRa19q+Fdx/GppQid4TB++EYxh8Oqbj3aNj3F5yoiD7QerKLgeTl3M4Ph1PPgsQ4H7OG1JhGLuCF7YO4gVC6fRECF56IUlk5TIgx997/kn+qf8yoz/C8FulXtdfiEqAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjA0OjU1KzAwOjAwsb1gjQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDowNDo1NSswMDowMMDg2DEAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 43679377
{'hecke_orbit_code': 22517998203963647, 'n': 1, 'trace_an': 21}
-
id: 43679378
{'hecke_orbit_code': 22517998203963647, 'n': 2, 'trace_an': 2}
-
id: 43679379
{'hecke_orbit_code': 22517998203963647, 'n': 3, 'trace_an': -20}
-
id: 43679380
{'hecke_orbit_code': 22517998203963647, 'n': 4, 'trace_an': 102}
-
id: 43679381
{'hecke_orbit_code': 22517998203963647, 'n': 5, 'trace_an': -16}
-
id: 43679382
{'hecke_orbit_code': 22517998203963647, 'n': 6, 'trace_an': -27}
-
id: 43679383
{'hecke_orbit_code': 22517998203963647, 'n': 7, 'trace_an': 0}
-
id: 43679384
{'hecke_orbit_code': 22517998203963647, 'n': 8, 'trace_an': 27}
-
id: 43679385
{'hecke_orbit_code': 22517998203963647, 'n': 9, 'trace_an': 247}
-
id: 43679386
{'hecke_orbit_code': 22517998203963647, 'n': 10, 'trace_an': -96}
-
id: 43679387
{'hecke_orbit_code': 22517998203963647, 'n': 11, 'trace_an': 10}
-
id: 43679388
{'hecke_orbit_code': 22517998203963647, 'n': 12, 'trace_an': -216}
-
id: 43679389
{'hecke_orbit_code': 22517998203963647, 'n': 13, 'trace_an': -126}
-
id: 43679390
{'hecke_orbit_code': 22517998203963647, 'n': 14, 'trace_an': 0}
-
id: 43679391
{'hecke_orbit_code': 22517998203963647, 'n': 15, 'trace_an': 8}
-
id: 43679392
{'hecke_orbit_code': 22517998203963647, 'n': 16, 'trace_an': 358}
-
id: 43679393
{'hecke_orbit_code': 22517998203963647, 'n': 17, 'trace_an': -204}
-
id: 43679394
{'hecke_orbit_code': 22517998203963647, 'n': 18, 'trace_an': 223}
-
id: 43679395
{'hecke_orbit_code': 22517998203963647, 'n': 19, 'trace_an': -340}
-
id: 43679396
{'hecke_orbit_code': 22517998203963647, 'n': 20, 'trace_an': 307}
-
id: 43679397
{'hecke_orbit_code': 22517998203963647, 'n': 21, 'trace_an': 0}
-
id: 43679398
{'hecke_orbit_code': 22517998203963647, 'n': 22, 'trace_an': 39}
-
id: 43679399
{'hecke_orbit_code': 22517998203963647, 'n': 23, 'trace_an': 46}
-
id: 43679400
{'hecke_orbit_code': 22517998203963647, 'n': 24, 'trace_an': -708}
-
id: 43679401
{'hecke_orbit_code': 22517998203963647, 'n': 25, 'trace_an': 665}
-
id: 43679402
{'hecke_orbit_code': 22517998203963647, 'n': 26, 'trace_an': -616}
-
id: 43679403
{'hecke_orbit_code': 22517998203963647, 'n': 27, 'trace_an': -596}
-
id: 43679404
{'hecke_orbit_code': 22517998203963647, 'n': 28, 'trace_an': 0}
-
id: 43679405
{'hecke_orbit_code': 22517998203963647, 'n': 29, 'trace_an': -54}
-
id: 43679406
{'hecke_orbit_code': 22517998203963647, 'n': 30, 'trace_an': -573}
-
id: 43679407
{'hecke_orbit_code': 22517998203963647, 'n': 31, 'trace_an': -1016}
-
id: 43679408
{'hecke_orbit_code': 22517998203963647, 'n': 32, 'trace_an': 93}
-
id: 43679409
{'hecke_orbit_code': 22517998203963647, 'n': 33, 'trace_an': -632}
-
id: 43679410
{'hecke_orbit_code': 22517998203963647, 'n': 34, 'trace_an': -334}
-
id: 43679411
{'hecke_orbit_code': 22517998203963647, 'n': 35, 'trace_an': 0}
-
id: 43679412
{'hecke_orbit_code': 22517998203963647, 'n': 36, 'trace_an': 805}
-
id: 43679413
{'hecke_orbit_code': 22517998203963647, 'n': 37, 'trace_an': 490}
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