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mf_newforms • Show schema
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{'Nk2': 3321, 'analytic_conductor': 10.054521754894955, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 41, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 8, 'char_parity': -1, 'char_values': [369, 8, [83, 334], [8, 5]], 'cm_discs': [], 'conrey_index': 55, 'dim': 20, 'field_disc': 77917733102874208334109925191270000492544, 'field_disc_factorization': [[2, 42], [17, 2], [7829595471793, 2]], 'field_poly': [776161, 0, 5476470, 0, 12547553, 0, 11863964, 0, 5739482, 0, 1600296, 0, 272678, 0, 28868, 0, 1853, 0, 66, 0, 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': [[2, [776161, -1476556, 1404488, 662872, 4241233, -6117392, 4246040, -810344, 498082, -544480, 347928, -81392, 17494, -10000, 6248, -1528, 229, -52, 32, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504355591946609, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 41, 5, -1, 8, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '369.3.l.b', 'level': 369, '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': [3, 41], 'level_radical': 123, 'minimal_twist': '41.3.e.b', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{11}q^{2}+(\\beta _{1}-\\beta _{6}-\\beta _{7}+\\beta _{8}-\\beta _{9}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '2.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '369.3.l', 'trace_display': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3321, 'analytic_conductor': 10.054521754894955, 'char_conductor': 41, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 8, 'char_parity': -1, 'char_values': [369, 8, [83, 334], [8, 5]], 'conrey_index': 55, 'cusp_dim': 320, 'dim': 136, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 755964576113, 'hecke_orbit_dims': [4, 20, 56, 56], 'label': '369.3.l', 'level': 369, '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': [3, 41], 'level_radical': 123, 'mf_dim': 352, 'mf_new_dim': 144, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 126, 'trace_bound': 2, 'trace_display': [0, 0, 4, -4], 'traces': [136, 0, 0, 0, 4, 0, -4, 12, 0, -8, 4, 0, -32, 96, 0, -504, -60, 0, 44, -128, 0, 4, 0, 0, 0, 48, 0, 60, 32, 0, 0, -152, 0, 20, 84, 0, 24, -132, 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mf_twists_cc • Show schema
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id: 36363564
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504355591946609, 'source_is_minimal': False, 'source_label': '369.3.l.b.109.5', 'source_level': 369, 'target_conrey_index': 109, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355591946609, 'target_is_minimal': False, 'target_label': '369.3.l.b.109.5', 'target_level': 369, 'twist_class_label': '41.3.e.b.27.1', 'twist_class_level': 41, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 36363565
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504355591946609, 'source_is_minimal': False, 'source_label': '369.3.l.b.109.5', 'source_level': 369, 'target_conrey_index': 27, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874555609129, 'target_is_minimal': True, 'target_label': '41.3.e.b.27.1', 'target_level': 41, 'twist_class_label': '41.3.e.b.27.1', 'twist_class_level': 41, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 36363566
{'conductor': 41, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504355591946609, 'source_is_minimal': False, 'source_label': '369.3.l.b.109.5', 'source_level': 369, 'target_conrey_index': 325, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355591946609, 'target_is_minimal': False, 'target_label': '369.3.l.b.325.5', 'target_level': 369, 'twist_class_label': '41.3.e.b.27.1', 'twist_class_level': 41, 'twisting_char_label': '41.38', 'twisting_conrey_index': 38, 'weight': 3}
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id: 36363567
{'conductor': 123, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504355591946609, 'source_is_minimal': False, 'source_label': '369.3.l.b.109.5', 'source_level': 369, 'target_conrey_index': 38, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874555609129, 'target_is_minimal': True, 'target_label': '41.3.e.b.38.1', 'target_level': 41, 'twist_class_label': '41.3.e.b.27.1', 'twist_class_level': 41, 'twisting_char_label': '123.38', 'twisting_conrey_index': 38, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 787550
{'charpoly_factorization': [[[776161, -1476556, 1404488, 662872, 4241233, -6117392, 4246040, -810344, 498082, -544480, 347928, -81392, 17494, -10000, 6248, -1528, 229, -52, 32, -8, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 2}
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id: 787551
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 4504355591946609, 'p': 3}
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id: 787552
{'charpoly_factorization': [[[8340544, -63212544, 239542272, -419734016, 432798368, -269101824, 170903552, -168766688, 161094852, -91248992, 30848256, -5574776, 1168344, -435304, 141768, -23592, 2324, -228, 72, -12, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 5}
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id: 787553
{'charpoly_factorization': [[[1883447522000648, 123698439056272, 1086576344969032, 1244128591505248, 390459455471236, 72259907798160, 54453454591132, 6289470354128, 517234715506, -121153075352, -17846777884, 720341548, 251999780, 11528924, -483218, -119868, 5336, 292, -76, 4, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 7}
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id: 787554
{'charpoly_factorization': [[[317358546892407121928, 133433378753877290960, 20693981876224655592, 3000017554100344208, 757213430263521604, 55620650071300864, 4738125265038068, 254023410720368, 9973273502578, -286364102704, -166948733200, -12031957812, 2723390104, 147684204, 6496142, -439288, -24016, 2092, 32, -12, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 11}
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id: 787555
{'charpoly_factorization': [[[18519097584450503168, 20935688361244659712, 11087168561495390720, 3744033426098531328, 943822471000025344, 173075065450394752, 34230327725357440, 5017298882515648, 543517118963080, 51933356233520, 4325019639624, 234600168128, 3244714244, -1123142896, -38160680, 7375616, 633410, 21972, 958, 48, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 13}
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id: 787556
{'charpoly_factorization': [[[184438225952, 4669171552704, 236093422741344, -711181898883776, 734378058395664, -256561311059328, 44954198874240, -9870247392256, 2445495895184, -154959449952, 28699177200, -339605024, 171582344, -9022304, -2673376, -320384, 89762, -3828, 262, -28, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 17}
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id: 787557
{'charpoly_factorization': [[[499825141022504804267912, -303326929955493161281456, 93060538431656294509144, -18877967524662848030208, 2795190970490215200740, -323141224894634016560, 31347513941045317108, -2640435679914596408, 183662024442406106, -9623140939993528, 355386081490388, -8979406406444, 155530650904, -3112512744, 254469402, -22089152, 1623970, -87252, 3194, -76, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 19}
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id: 787558
{'charpoly_factorization': [[[3628452197699804125889536, 0, 844792658536251454027776, 0, 36271812338729401668096, 0, 556582438245395468032, 0, 3531151763231243584, 0, 11724735223974016, 0, 22626625821008, 0, 26257104528, 0, 17969560, 0, 6624, 0, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 23}
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id: 787559
{'charpoly_factorization': [[[6280289436148483465728, 1655035570282647490560, 691716555389657636352, 415165237738762349568, 107035525038039871744, 12671568337172588416, 1418348559923572352, 220419760471630656, 16409827956744712, -418234782673136, -71609422196168, 2552067982528, 226900343172, -5200903936, 569175984, 37936832, 29330, 24036, 1750, -24, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 29}
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id: 787560
{'charpoly_factorization': [[[13725478275185623723093786624, 0, 811936072730502121067642880, 0, 13655976309412061205168128, 0, 86616294674698575863808, 0, 244480509804371204096, 0, 374774640191855104, 0, 342647612041232, 0, 192828995280, 0, 65627084, 0, 12404, 0, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 31}
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id: 787561
{'charpoly_factorization': [[[85570416372152, 18809275939920, -3656562443936, -145931279288, 26094669354, -633872936, -11613096, 562140, -2334, -104, 1], 2]], 'hecke_orbit_code': 4504355591946609, 'p': 37}
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id: 787562
{'charpoly_factorization': [[[180167782956420929503029846064801, -12432755992233686985336979264436, 526012005045887698358069288250, -19387448622226698050606990828, 640180214253677475401261833, -19439993345189910587205512, 581643841838452902819264, -16339012012731393557752, 449878123516362464342, -12076044392698687904, 305951829842193420, -7183845563770784, 159206006281622, -3439716516472, 72842741184, -1448296712, 28372393, -511148, 8250, -116, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 41}
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id: 787563
{'charpoly_factorization': [[[24929235995944382888528207478784, -2089193330378188399140604215296, 87542369377199985682048090112, 8973337383519412516429938688, 652851087919481877712930816, -10769331167743968946577408, 224935720512103242729472, 16093429221332554132224, 779242146472127709200, -7561554859233020352, 125648987869570176, 7625323808938176, 283052264006832, -1564717487200, 21548316288, 1139222768, 32479352, -62656, 800, 40, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 43}
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id: 787564
{'charpoly_factorization': [[[775967789835322221705992, 6831735771007119059177552, 18327768774305558550883960, 4616061414431260243178032, 1999580800013069200975140, 227997675547994156383408, 70683046645768726534364, 10814257724767403986320, 557368930269534934186, 21962261015898473328, 4345320287754805564, 18050082835200364, -853625458307456, -15003870067072, 30617744938, 3289284760, 47385442, -622164, -754, -64, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 47}
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id: 787565
{'charpoly_factorization': [[[458752233254129298714329489408, -113823827446428528012004204544, 34832306726173089591950231552, -711861120621339027490996224, -210680218755544131213950720, 14266438354217432387709952, 454029683817594976525248, -121150280386451042422528, 8786952886065412754248, -333059496732858045872, 8432925073631489048, -162806067444642592, 2557530446621380, -32274362301280, 277722256272, 216883136, -38731342, 300292, 4486, -120, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 53}
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id: 787566
{'charpoly_factorization': [[[-766359853741024, 268992930298688, 5255004554688, -2129171364928, 53082013000, 1682497280, -70500924, 206152, 18556, -256, 1], 2]], 'hecke_orbit_code': 4504355591946609, 'p': 59}
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id: 787567
{'charpoly_factorization': [[[4175992443212945725217270861824, 5118531660382585283984638304256, 3136902989482125029498563141632, 505376065993963751655965888512, 44438790464762522189981753088, 2352971263478997652327721984, 82870669590028952691376640, 2168683738752813208132992, 61182951791779324528912, 2075297456431557219840, 62957351371480332032, 1393488848176101408, 23159167915162512, 341273933309744, 5699169869728, 99653108208, 1439664788, 14978336, 105800, 460, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 61}
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id: 787568
{'charpoly_factorization': [[[13164433507203022784161676346362888, -509845370078329168667811055840688, 52688470148078020885796131658072, 1142433309527007441359781075600, -10431806878875671107774710716, 91742315990933455858758544, 12448352025598363780410044, -476985434736366087696088, 5896081654617266164706, -283102847144545513520, 7872800807660355208, 5698843002897148, -441885240946400, -18172742198220, 46439034806, 1385708168, 131248368, -3607884, 43656, -300, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 67}
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id: 787569
{'charpoly_factorization': [[[29741066587175261084835268412552, -2570978068004928471639900155920, -68522212237646075326940580424, 9357328871513167091091400240, 197297661134436333536911844, -17865897682682784128192784, 921430197874381589766508, -169159878158202889490600, 13018811627674070120986, -555042477255969472488, 16972714151695024904, -246663157754563852, 4367533425937252, -38930722379488, 464739807062, 2925460, -63747166, 353680, 7550, -108, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 71}
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id: 787570
{'charpoly_factorization': [[[17411558345177177492963356760328256, -2935177037207292664371797303330176, 247400722811675275875430989573248, -10021386224149697178432524502016, 221320236299197974779836327600, -2561712771032070638522140416, 171057922325217391325675424, -6809954106213457179441904, 143460271973247462175172, -655437733013895746976, 5711001750445517952, -337926628440628552, 10039017245540816, -11873063952960, 27972201320, -5640454192, 237691420, 484540, 1800, -60, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 73}
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id: 787571
{'charpoly_factorization': [[[30360761173119459353653146074888, -23240957018781487073229801735984, 6100001230467601507160250675912, -502032415634067043818359445456, 28884225063328091049708000036, -960430566508658275791359536, 20717258304305996815313876, -405585274888792563400616, 7291034807389442276746, -13727375597695048112, -1635546883737230092, 53091940560951612, 1088657730927944, -54250591436504, 506108601722, -761753888, 108779426, 877036, 15182, 208, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 79}
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id: 787572
{'charpoly_factorization': [[[-4292580934665737344, -966702283858483328, 22040000474753888, 376870369475616, -7363489426520, -51429573040, 922447892, 2938456, -50202, -60, 1], 2]], 'hecke_orbit_code': 4504355591946609, 'p': 83}
-
id: 787573
{'charpoly_factorization': [[[6105560351485816827115173951008, 177266813841554065265494759263040, 1501592175573084211116283155943200, -119982342756507338367467800243264, 2080891869012133698637710049680, 22807658006169901612392750528, 1553633447088151246743542496, -9728364585259401249246912, -500668347786425313211184, -4100413187676853091136, 88493345177504743808, 3489329011171409440, 66866298066038760, 939041107617200, 12669923984600, 132336193040, 1111480306, 8545436, 56926, 268, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 89}
-
id: 787574
{'charpoly_factorization': [[[799663495619464103807224236478918688, 486483488577287709043356924918783168, 112190562560644180753185342721701920, 11007588730635495874795649570196480, 428221776211477614564609693981712, 2247207647570084500510824834176, 37913039207807015275516574656, -999487913758113245000001344, 1137400738301599335389776, -56077380957987387271712, 1623964198251195645232, 3806382467669953248, 80070238337113736, -295592486172640, -423974087184, -8283519440, 21078098, 439852, 20746, 120, 1], 1]], 'hecke_orbit_code': 4504355591946609, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 2, 'label': '369.3.l.b', 'level': 369, 'portrait': 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XOThtkJzUo7pN0XDBKf1Z5gy4RhuWU4taCo+AFbpmHHXMTmmQGbZoZsmRmyY7Nl1xbFFTt9qqrO8VNNHngm4LFDCU+djNGqw5tf3uLtt1qqaoZDJyc5fs7j7AXNfAruw0uWG69a5D+8e5WdsxOcXZziwkqV5ZbPckuy2tG0u5rOAA4cX2H/qfYVzx1ZeMXJswt7Tp678KWbv+0d0b1f/vg3GxJ/q9u3NIMvrbSIIotUvOeex47e+u9+5xPyXS87eutPf+dpb7m1ieW1SZbWaiytBSyveSy3BMstzUorZnlNM78GR5cFm2bX+KXvX+Yll9U4vTDNuQt1zi15LCxb5pcSzixqLnQSJqcHvOyaLi+9HAJZJVQhCysVzi95zK8IekNIEkMlMNQrmqmJBAOcnE9od2H3Zp96dYi1AkRAt2/YtWXI8poH1kmRtS4ME7BYVloR2zf5dPoKoSzCDGlWfHZtHbDWE5w856GNx0xT0qgIQh+SRNAbSuZXJOeXLQurCWE4AD/h5iu73HqVYK5ZZXm1yemFkHNLsLCUsLCScHYFji5bXnzlEv/x+1fZOtnk1Pw0CytVLqwELLUEK2uGlXbMakuz3DZc6EhOtqG70uK3fzpK3v2G8L5w9keNX73qPoT5eWt9/PBbNzv6LcvgH/qTT3Lrzdfzv//0T//Kh/7yzv/td//0a5ccPL2659i5rrz16i4Xb7VOVxuJtcUdJO66tShpCRWcXa7y0BHJNXtXuHzngFoFfE8S+Iog8KhXJTVf0uv6HDxR4SuPBZy8MKSdxBw8PWTzzApvedkq11zS4cWXtzixlLDUE9TCAcfOWVrtOldfLFkbaPafUDRqHs+ehEu3WQaRZqADPC9mqgEHTocoT+PLBM+H/lDykst79HuSay7RtPuak+caXLRFUa9FrA0tmyZ7rHbbfOzr8MRxzVPHB+zetsy1+9pMTUe86eYO3/lKy94tDXQ8yfGzExw943N63nDmQsyZC5qjFwSn1mJedNki//H7O2yZnOT0/DQLKylBtCSrLcNaJ6bV0ax2Das9wXxP0epEvPTKJX7ybRdkPTB71paOXzQYxjcFtb3VsDr91Ucf+Ay//0d//s2GzIa3b0kG/5OPfJJLL9mqnnjy2L8/cmL+F+5/4qSaX4lZjRRLA821exb4rR9f5LpLaiwsT7G8Vme5VWGl7bPS8ljtwGpLs9pOWOkkLLXg9KrAqw645aoVvuuVERdtqrPWbXJhpcpixl4tJxFWO4Z239AeWnqDhJlmzK7NBhCEvuXMBR8hQ3ZvUly0zbJtU4+F1SFPHm5ww6WWWnWVZ45M06hHRJHPzJShP4Ardg34yNcn2bczYTi0zE5IYt2nUQl59sSAql/nussSnjoWsbAcsH0m5KKtsGtLhFIxZ5Yg8C1CWHZvTphqSDr9kG7Pp93zWWkrVtZguWVYaWmWWpr5FiwPNLu2d/muVy1xy+UeFb/J+aUmS6sVltY8VtoiB/dqR7PasSx3Yb6jWFhLuOny87z3Xy6zb0eV1U6DTjekO5zAePu0F277lUpj9y9H/Xn90pe/7ZsNnXW3bymAHzp4iEq1Uj139syuhx975l1Hj5/9TweOnGEQKzoDQWsgWOxLFjoxL967wG/8+DLXXlzjwuoky2t1VtsO5Kttj9U2tDqGtU7CaidhpW1ZaAnOdS2ILm9/eYs3vcRw8dYKUVRjtVVhrRvQ6ihWu4JOTzAYWqLEojVuNfChGlomm5ZN0zGeP+Do+Yinj4SYpM4bborw/DUe3T/Bnq3wxYcSXn51yIVWn4qnSHTM9BQksY/nJywv13jZ9W2+eH+Di7bCI4eH+NR4/UsMiejz9FHN8TMVPBmwecpjqi6ohoIgECgBiYEotgwi6PQsa11Dp2dY6xmWu5a+1uze0eNNL23x9lsjMA2W1yZyvb3S9lhtwVpH0+omrHU0a13DSldwvqNYbCe8+LIF3vvjF7hqd5Xl1gStbo12z1mZax1BWNtBUNv672a2XPGXO3dsPzUYDPqXXXbZNxtK+e1bBuCnTh5mbm4uOHL4yA8ePHTkfQ89/IRYXOnI/tDSGxg6A+tA3hdc6EvmOzE3XXqBX/uRZa6/pMLSWgbykLVOwGrHY60jaHUsra5mrZPQ6hpWu5YLHcH5lmFqsse3vbjDzZcn7N6saFZ92p0KoS8BRZRIjBEYC70BIAxTjQGHz1qMjbjjkTrDXpVLtgfcck2P2Kxx92OTXHepz+H5Lq3VJi+9psdXHw3ZPG3Zf9Lyr97WZv+JkM3Tkq88prjlCsVKr82x09Ncd1nE3U/3SYY1br4yYO/OAf2ky5cfVaAFR894NGsenoBe3wXV2ljiBJAGLzC0upZ6I2bn1iG3XtHj225ImKlXWFiZYHmtymrbHZvVtqDVhVYnodVNaHU1rZ5lpSuZ7wqWOgk37VvkV35kkWsvDlladeDu9EI6PZ9O36fTU7T7giipmD17r7F79uz9yYsu3vvB5aWl6IorvjVA/i0B8ChKZBz13/LUo5+/pN3V733wwUf9zsAxaK+f0BsYugNLd2ByJr/Ql8y3Em6+4gLv+ZFFbtgbsNaeYHG1QatbYa0TsNb1aHUUrR50upZ2L6Hd1XT7hlbPstgVLHYh1kOuvbTPlmlNt2d540uH7NliSLTEk5YohruerHDqQoWtUwnPHK2AqXH5DsX1+wxhpcejh3ssLtW5ak+d5uQq9z/lc+OlFZZ7a6yuNtmyxfLQfsU/e3WXh/d77Njks9RtsboyzfVX9Lj/Gc10dZKrLulyodXioecmqXp1XrzPctmuAcguTx4XbJqOWViMuftJn0GskBK0sezZGvFtL43odBXbpgzXXwpRVGOlVWOlFbLW9Wn3FK2upN2Fdi91Snqads+w1rOs9CVnW4LWYMgtly3yyz+8yo2XhSysTNDqVOn0KimwPbp9Racv6fQF7a6m3Y150XUvjhOjfuZ73/XWI4169XOe75tvNra+6ZnMaNjF6N73nznx6G9eOH94enFxlUZdIqRECpv+VgLCIIRACosUoITBkx4PH9rMz7/f4+23rPDdr17hou0R88tNwqBKNQyohT71qkenKmn0fSbqHr2BptvXbB4a+kNLZxCysljhzGlLlBjOzieEoQUEgbJ4UtDrKwQ+Sc/jRXsEe7dZdm3vMdQdbn9YceDIFK+7IeT6K1b58O2WQNTYs73HU/crtk8qZps9KqpKFPtc6EC94rFjs+CJAxHXX1blldct8aHP9wn8Bq+9yeKHPb72UMQXH6zz3PEqF2+rsWerZm4q4qLZmKv3aJQyeMoClloYMjcZEsU+nV7AM4d9ugOPXl/RHUi6fRxJ9Nx37/Q13b6l3bes9WGxp1hYtdSaLX7qjYv801uGXHtxnfNLDVrdaom5Fd383xT0BpZB5Ejgznse9icmp39z+7aHV1758pf8r61270MTzdr/uABP4i4gfnj57D3vOXv0zumo3yP0fWqhh7XW2W2p0SOkdsCWBimdQ+IpSyAlTx2e4/FDdQ6du8Dbbu1y65UDJhtNVlo16u0KzX5At+e5kzOQ9AcevaHHYGgZRIYotsSxJdHuHiUB1oBUAt8TVALBZEMw1YAts4Ydm3vMTrX40qNwz+M+0kzwuht8XnR5h3ufi4kGTW55kaDV73Nhuc7NlxlmJ3tUvZBBolhsxygjeNFlHrXGkMcOVnjF9RO89NoOjx1UYCe44cqAH3rzCl99IuIrD9fZf6rCrjnFlukqU40aEw2ohuB7FiXBWNh/XKC1IE4EUQLDGPcdh5r+0DAYGnoDQ29o6PahPYTFruRCB4ZmwGuuW+Ett7b43tcakqTJ/FLdsXYvoNP3c2D3+pLe0IG7NzAMBpphbBhGhmMn5vnAn98+vdTW//ldb32F12r33v/NBPk3DeDJcAmB/qHWwlffs3L2y5sCOaRZryCVxWKwpCWbQiCEW4odwAVKGpRyAPeVoeoLlnpVPvr1HXzt8TYvv3qNd79mjasv6jIzWWN5rUanH9Lr+ymwlbtHgmEsiRNBkril3qaLhpIWz4NKALWqYboRs31Tj4Quh8/GfOzuCsdO15kMq9x4pcfN17R56FCLOx5octOlFXZt7fGRrwuUCGk2Yta6Q4wFJWCu2aPdCTBJlbe8/AIf/WKNvQsV3nRTjyhe5u6nZ4h1hZdcuYk33djm0p0tvvZYj6dO13jyeMCOacl0U1ALBYHvLkIpQAiLsWCMJU7SizW2DGN3IQ8i6EfQGQhWh4KVDghvwHX71nj3t63x8is1M80Ka+06ax3H2t2BT6/vJElvKOkNBL2BoD+09Afa3Yea/tAyjCHSivlzLf7gI1/d1I14z/e87WX2zMLaH+/YPPk/BsCH87/B0MwyWPnkD1jdfm9/6elZYXuEQY3EJGk20mKtB0gEIIVACoWUAiU1SgmUMvjKEHiW0LNUPcHqQLHcmuLjd9V58Jkut1y7xrtfu8Z1e1vM6CpJEtIbVOj2ffpDjyhWxIkk0RJtBMYKlwUVljAw1CoJYRAR+EPOLg/5/COSI2cCjp+ZQpmQvVsDrrhIccPlbVS4yNNHG2yfrHHVxbBlbpWVdpOrt0sSY/nSwyHDnmSynvD6lwz43N0xp+Yb7LvE5/zagGeP+ezcPMW1Fy1y71Md7n9WMIwCLr9omst3hly+o8PR8yscOQsPH6hx+FidmicIPUk9tFR8kDLNAFh3sSYaogQiLegOBe2BoB1DZBKMHfDiS9u8+9vavPxqzdbpkMFgguVWxdmAg4Be36M3UO4+FPQHkv7Q9Y32h5pBeu8PnUxxj4LEKubnW/zWn9256ZHD5987O9VMfvF3P/PhAyfafOy97/7HC/D//b0fJtj8uywf+e7vrYrDv6OHRyel9QiCGtrEGCvBCnDy1zG3kEgpHXMrhacEnqfxUvkQeIbAt4S+pRZoJiuCztBntT3FJ+9p8vUnB2ye6vGuV7W4fOeAQb/LVRdZdm5RDGMfrRXaSGwGbmnwPc3JBcvxecFa3/DZe2ucXZrCRj5TFcW2GY/dWzwu3g5X7W1j5BJ/+Lk6KysT3HS5x1V7W3ztSYFIfDZNSeq1hF4cIK0EK1FeQGsgWFgRXGlrvOqGDvc9VmXbbMBNV03zL968xAe/2OHhg3W6A5/ltQYXbauyb2uPl1zW4Tte0eHcygqfvTdkuRdy8rzP2bMBvhJIKREIjLVoA7Gx6MQwNRNzzZU9hsOYy3cOecerhmyaUEw3QuK4wvnFCr1+QG/oVrl+Cuz+UNIfCvpDwWCIWwkycEeGfmQZDC39yNKLBL0Y+rFgiGJ+fo3Tn7p/9pp9O3/npTdsjz/23h1/fu7I/822S37qHx/Af+xXPs7U1W8U3/dzvHNr7ek/+q6XPV170aWSPhW0ibFGYowEm+I7DSaldHclpQO3Sh89B8TAEwS+oeJbqrGlFlkmKpqpqqAXSTpRneNn6vzan0+DSRBJwg3X9LhoS0SSgLEGa10SRwqBVALPDzh4KmD/kQr1ikcjkMzWBHMzkk3THtvmFLu3avbtXkOLZf7Lp5qcPDXJTZf5XL5H0086PPB0yGTVZ2bCMtmIqFWdFDJG0hooVrqW5Zam1a3ysqvWeGR/jwOnFJPNCi+5cpIfecsyv/tpeOxInW7fstbxWFhpsmW2xqapAbtnBvz0O3s0ay2eOg4HT0t836KURQhDdiCthSSBPVs0t1ydoGOfOAmxtsYg8plfCugP3Yo2iFQu3/qRYDCUDCJBfwjDyGn5YeS0tpM8NgU59CNBPwV3J5F0EkiMIRn0iTuPTb7luvN/9H+dW0wqk2/7+MrJ37PTu//lPx6A/9i//322VFfU/rs++vZDx5Y+/GePnK88faDBr/3EGlfssriaeucGSOkydVL6KbhtytwW33O10b4nCHzF0JcMI0MYaYaxpRobhrEhiizNBBf4JBAlgkEsGeqQWFc4cKTOkwdAW4uDttPGvoRAuZqPRghXbYVmFSbqkqmGYmbSY9M07NoyZOvcGrFd4b98aoKjxya4/mLFxTske3escuezCQvLE9xwkWSqaagEfUIZYpUg0RJhLYmOWO1WWFj2uf7yKi+6rMO9j1XYPCWoVRpcf5nhp96+zO982vDs2QZrXcNaR7G46jE7WWeqWWWqOUGzFjNXj9l9fUToJ/heglI6d6As7qKKY8WFRY84UcSJIooVwzh9jCTDWDKMJINIMoyEC1AjwTCyDtSxYTh0x9m9dgmmQfp7vRi6kaAdS1YjGEQJDLu86KI13vPjS7z2qrO1Qdd+2NhPmKkdjU/plf+s1fS/+YcP8J/5tY8xNVFXJ84uvOPQ4RMfevDZcxUqFW5/YBrfg1/+0TWu3NlFCovAgdsB3DklSlp8ZfGUwvcsnicJfOFOgi8YBooodkCPY0uUaOeKJKW7hkRbtDZog9PbhhzcQoCS4EnwfQg9QSUU1EJJvaaYqEmmJgSbphN2b+nRqK/xqfsi7n56mrWlJtfsUuze6nPpzgFarPGlh2vUfY+5KUWjNuDpo/DcMY+rd1p6Q8W1l8Zcs9cyf16zuBrQH9R4w40dvvFUn8NnFfWqJAyaXH2x4Zd/YJm7nu3zubtmWW5bdm/SrLY8JpuKibpPo+ZTr1oqoSEMDKGn8ZSTWjKN063FJayMIDGSRAuSRBAnkigRxLFkGDvnJYoFUWyJIhjGmig2RCXiGMbZHcfgsWPubixoxZJ2DINhhEy6vGjPGv/xR1d4402aXq+KiZ+tWD/607Uzl//zQbL7E4vH/kjPXfwj/7ABHiVWnp5f+e7DxxZ+78mD8xVVCTHGYivw1/dJoqHiHa9u865Xd5lsalTPpC5J5vNqfN/D8zwCTxH4jm0iXzIMBFEs3MmJFXECUSydg5AUtl+iDVo7d0Hb1ClJ3RIhRCqBBJ4nCDxBGEgqoaReFTRrlsmGYfP0kLmpDold4+PfkHzwizNsqlS4Zpdg11afPdsMu7eu8qkHLCsrFS7fophqQqMWs3BCcmE1JLgIhrFgbkIyOQmHj1tW24b5pQqX7qnw6hs6fP6eCjMNCIMAJSe5eq/gR990AV9e4K/vneK5sxU2t2M2TSZM1BWNqqJWlVRDjzCA0AfPcw6TFM55ykGOu7C1Aa0FiSYFOsTaEiUQx9qRQmyI0sdhbIhjGMaudGEYp8ydCPqRoJsIWrGgE1uSwZCJSpt3vWGZd726y7ddb+n2akRxgDGS4fKpivEn/qhS9z0h/b/A8cw/TID/xu9/Bq3ND3z53mO/sf/g6eZMPWBgoK8lQ1nFSMWXHlY88GyF8ysr/Kvv6DPVTBiELuPoKU3g+fixj+9pQt9jGCsH8JS5HeMIx0QpKyUJxBq0dk6CMS7gMsZmPZwpuB3AlRJp0OoAUgmhVjE0qgmTjYS5yT6zU2vcdyDiT++ocvD4JHsmfPZugR1bAnZshn272vSSNg/tb1JVPnNTiskGTDaGTE0kBIGHEO7i6g8DVtoxaz1Lq5twYTVg15YGL738Anc83OPg2Sa1MMZXAUJMsHe74vteu8SL913gT+9o8NAzkyx3PTY1EyZrCbWKpFpRhL4g9CW+72IVpUjtQ4dyi+thNYYc6Ik26ermSCFODIl24E5iiBJb3GPnygwSwSAR9CJBJxG0Exj0E2zSZ6bW5ie+c4Wf/p6eS7B1agzjgCTxSbQiSTx090QzScR/CZs3BOeP/uUHt+591z88gC+vtFBS/vBv/sGn3nP+zOmZyQoYDBUtqEroGeiJgKihWBsG/MbHfPYfXeMtr+jyqus6bJ6N6HQq9IchfhQQ+j5D3yOMnb0Xxa5WJI4lUeKW3ThJPW1Nav2RMrfEWApwpy6NY27wlEuYBL6lEhiqlYRGJWGqOWTrbJuFVo/3fdbnS49Ms7Ja55I5wa5Ngu2bAnZsEly0bYAXrPHRuz2Ona5z2WbJVEMyUddIOeTsoiX0JFKAtYIo9ti9qc3DaNo9xWrbsrBS5bIdFb7jVS0+8bWAEwshvhcjhI+xdeJEcsNFq+z+njZfeqzHR740zaMn6myfEszWNfWKphIIQl8Q+BLfE3gqtVilyGsyLO4iMxbntGgH+AzkcUoKbhWESLtalygRDBMYJoJ+At1E0omhHxt0b8iO2TavvH6Nt76iyxtvNPiiytpqSJQExIlPnDj971wrQXdxYWZS9d+7e9+7VDRovT+o/PepKf/vAvBOp00Q+P/iC7ff9Z79zz6zabJiSIwg1hBoCLQl1IJQCrqJR18qWrHPR++scNdTHa6/vMP3vLbPt9/UZnZiSG9QoZ+CPE58hrGXB0pJooi1JEkksRYkiURrgTai0NpGkKsS65hbClDKuQ6+MgS+IQw01TChUR0yO9mlH/f52tOWj905wUPPTDIV+Fy93bJ1WrJ5JmDbnGTH5oiLt6/y1Ik+n/3GHBPKY25C0KwLmrWYVk/zxQcqNAIXTBsL/aHHW24Z8oUHXU1Mq2u4sOqxY1ODt93a5aEDHfYfDqiHCUoKB3JTYxA5rf99r25x2dYLfPSuNvc/N8mp1SpbmoKJiqUWGCqeIfDBUwKVulCOySErPzKpVDOmWOGSFOiOICDWglinWVEt6Cfu3tEwjAxJFFGvdnnb61b5nte2uX6fZvOUx2BQp91zwI5iB+4kDW4TLV2gGwtWOoc39ZIH33PxvpebtbXOByYnG9/aAF9dXeP0QpdO33z//V+759c//8WvzXTbq9QrMtd5sbb4WhBo8LWlogS9RNBTPn1PcaYdcu7BGg8+3eMTV3d4x2t6vP6WNaYnAqIoYBgH+UGLU6An2h24REu0LgBubMrcpqgpc0GsS/l7yuJ5hsDXhEFMNYxoVPto+nz1Mcmff32SZ45PIOKQPVOWrZOW2UnF3HTAllnJtrmYXVvanF7s8Pufq5MMq+zYIZhseDTr0KzFCD+i3a8z2bAIIbAW4kQyHSoSk9CJAzo9zWpbcXaxypUXN/ixf7LGe/8i5ORiHU/F6YXhkSQVBpFky0zIDZe0uebiLs+ePMvH7qxyx6OTnGtVqYeKRgB13xJ4Fl+BJ106X4jR6joDWOMuOm0E2kKihfPPtSDSLknU14K+hn5iSZIYE0fMVPq84TVrvOs1bV5+dcJk1SNKaqy2QqI4IEk8opS149hLCciRURw7V6fTb7O4ducmpeyvX3n1ixM9PPkn/WSKRv3vj83/XgHe6/XZtaX+1nvuffR3P/mZO5qtVoswUMjESQGlLZ4GT1t8DV7G6NJS1YKeEvRUwEB7XBhW+euH6tz9bI+XfKXL//SdHa7Y1WHTpKJZ94iigCjxSZIC5DoDuJEYK7HWSQKbB5QgRZbmN3heQhgk+Cqi3Y9ZbMf89qcqHL8wxWP7J7EmYKYq2DRrmZ0QzDQVM5M+m2ckW2YSts/1mJlc5UuPGx59bpJrdgimGpJGTdKsGerVCOEPCUMPT7m/by1oLekPPfqDmMQIOn1Dp2tZafvMLze5eV+Xl165xke/UqG6ovBk7ABpPRIdEMWux3N2ssKL93Z58SVdHn7lOU4uSv70jkkurNU4sxwSKEndFwSZDJMu8MyJPJMqOCZPrCAxEBvBUMMggchY0AkkMVIN2TbV55rd7nzceIWmWfVIkjqtbsgwJx4/tyOzuwN4utKmd2MFNl7j0LNfmxHC+91dF9+wGkX9z/59YvLvDeCHDx9m27Yt6gMf+otLnn3uUDMetKhXFcbgKgClWzJjbfESiKWr0ouVY5kwgYq21JWgryU9L2SgfZajKnc82uS+5wbUwyH//I0tds4k7N7W5+arOnjCtYgJ4eSKTlvYjBVpsVYKbixCWpRwXq4lAZnw7HHJIwc8Pv9Qg2dPNYiSGg1PMVe1TNctUzXrfPCmx/SEx8ykYMt0wra5PlvnVrn7mSF/+PlNbJ30mGtCs65o1gWNWkI1HHLfIcUg8vDrDlTWCqJEUvEU113W58GnJ13hU1+z1vZZWgtZWJrix960wJmlZR58Yg5fAiLGgGPG2GcYSbp9j6lGhclmnZde1uOV1/T4ntsWOXDa8IWHKjx0oMqhY3US4TEcKnqxQgmJEGIs8ExzAtaQGIs1Bl9oJoKICjEvvb7LRVsH7JiNeffrh1QDSaPqM4xqtDpBqq+9ESniQK1GQO3kicsFJIkgMQJtJO2FLv3hfc0LCxcueeVr36FOHD+q91y091sH4Pv3P8vExETw+GOP/GDom9/odVeo1/yUrSyJApl60VIKPOlYPNEWz4CvIVHuMdQp0LVgoGHg+wy0T09X6XQ0v/7RKWwSs3luwJW7BsxMJLzj1X12bYqIY5HqbZfyzw2TVH9KaRBS8Mm7qjx1tI7wPE6eq3F2oUalqpgIBZN1S7NiaFagURVM1BTNhmKq4TEzCbOTCZtnBmzf1EbbNT75jSb9bp1Ld1iaNUWjJmlUDY1Kgu9HfOnBCsOexN/kukUziVKvKt7wkj73PG7oDiXdvqbd81jreMwv17jiogbveHmbx56tcXKlgZIGiFO97BNr5yYNIkl34NHqBjSqNerVIVfsGHDTvgGnL7Q4cX4Nz9c8eczjE3fWEEo5cI/PH7QGMGAtcaTZvTnhXa/uM9vU7Ntt2TwDOvEZRg2SxHUDJbFHrD0SXQDaPZcFY2dg1oURkGiRe/HOyZGcX1ilOpH8xuOPPdq7+OI9Hzx8aH906WVXfGsA/NSpM8zPL142P3/2fU89+aishApPydyCUjotb5WCRKWWVOrDesa1hMXa4hsX3ITa1VDUtGP8yAiGWjI0ksj4xAYWu03ufMpg0XzmITeyAWvSe5bFSy2ytCJRCIlUiiT2kMbD9ySNEC6as9R9Qy001EKohYJ6VdKoKpo1j4mGZKoJMxMJc1NDts110Kzy239V4d6nN7F3BqZqKXvXJI1qQq0aUa/1qVZrhEqiZKrBcXIgjn0GfUF/qOkMlWvm6BvXMlcPOLMwwcuuHPJT71zgNz/hcWotRAiDtTFG2zSAkwyGroy10feoVwJq1Qq1sEYljGlUI264NCLwY268NOHdr+nhqSRNAhmEsKOiPJV0xkiEkIS+AgIGQ4/lFS91QLKYx8U9OsniH8fWOnO0RsBdALwAt9P7iXFefBRbHnjgYWmsfF+SDL4xGAye+fvA5v9rgH/tK59hesqvHjp87O379x8WUinCrKQ1cWWnWjmQa21RGrQUTgfrzIt1AWdiUsY3pMtXFtFbEpMeDOt+FhlJYiXaeMQmRKe2V/mWZykFeMKtHL6CStVS8SwVpQl9CD2oBJZqKKgGklpVUqt4DuB1wWTDMN1MmJkcsmm6y7ZNy/zh5w0fuWMzOycVsw1Ds65o1BT1GtSqmkY15vyy4ej5kErgjgNklX6CQeRx0RbDltkB7UFAf2BTFpesdTwa1QqN2iTvfs0Fjp2f548+ux1PelgM2mgSY4kTj2Gk6EeuKKpXkdQGHtXQpxpqWh0XYwS+xvc0vq/xpEugSenS+Vnm2JWuCECkIBe0TFpladK4Jo1vtHGxTjmwT4wL7pNEunOlx6RIytjOqRFO1huRWpIQJwKL4KmnnxKrre7bt27dffTjn/ir/jvf8R3fXIBP1FXQXrvwc4Puws/5KpIilCQapJRIJVCJyySOAN1YPC3QurCnTGpNaeMAnllX2QWQVcc5dyRN3FgwVqSP2Qkqbi6T5wIrTxonjVLN7yuB71nnG3uCSiipBJJqqKhWFI2qpFGzTNQ1k42E6eaQ2akeuzYv89ChIR+9axtTlZDNDUOzJhy4q5J6xVCvJDRqQx46CE8eqHHJnE11b5E27w8VN+6zXLqrz8PPTNJL66u7fS8FuU+tUqVameS7XrHCk4cu8OD+LWAVxmh3nBJLEtu8nqQ/9KgNLNWKohIYwsAnDDShZ/A8je8ZPGVQyp0PKV1pMGmZREYLRXDuSohN5kiZzH6VGJ0B110EmXOV6BTM2WMO9jR7mmVRk9SWTAprUmtYWu7K2Jz794ZKUKvVfwWIvmkAH/QHMor6v3TnHR/5X9tr54Na6BEl7kPHUqCkIJEWlQi0SoGeShSjMra2+NqivQzwIs86ZgA3uZVlMWkmLktWWGvzQIkxGyxLVWcJHSXTjKUCPy/actm/MFBUQkU1FNSqgkbV0qxpJuoJk40hMxN9ts2t8uDBPr/0oc2cOjPJxbOGyRo0q4p6VVGvQL2iqVZiAn9Aa2BRUuErF3tkNwcESZwENKsxvcTQS+usewNNpydpVRW1TkglbLBnS8wv/2CL//BhyQP7N2NRGGvQ2pDohCgxRLFiECn6oaQ6VFQCSRhYwkARegbfd36/p6wDuErrfVKZIoRd16Br0jjG1ehnQC/nGER6jiRGk7/vwE0O/ERn37kgLK3LwDZpaYXLoJ44cSaoVOo/8+M/+n1+r9//d7Vq9e+czv87A9zaBaxd/ZXF01/514PO8UoYyLQSEKQUhTUoBVoKEmNR2skOk7K41tZpcGNTQItSWp2CpQ1YY9H5ASdlmVxul/gnS8FngaWTKK6e3NllWS2570nCwA0AqoRuJEM1tNQrhkZN06zFTDQippt9ts2t8eCBHv/hg7McPDXN7mnnsDSqknpNOvauWmoVTa0SE+uIP/tKA6kUvrQoUdiExmaa1Of7XrfKlx+N6EQhvRTg3b6i01W0Qo9KEBL6TfbtTPhPP7TML35QcP8zmzFWoo1Lq8eJKzQbRoZhxZW7hqGg4gvCwGU2A8/mGVtPGaRy3njmcOUAL1KeKchTp8UUYDcmq2lJQW7BaFEqZBMFkE0GdkYeE5PFYiYvE3DtggaD4snnjlc+8LGv/i/f/R2vFacXVn5+5+bp/28B/syzp7HWvHT/Y09WBRGB7+cHR2TZs8SBKtE4cCuRA9uUHw05yF1BlAO0Y+7sUbg6ijK4N/hcGcCzGgyV15OLtI48qzuR+L509RuBoBK6mSe1UFOvOnA36xGTzT5zky0eOtDjlz4wzbMnZ9kxJZipl6RJxaNecfUr1UpCNYzw/SFnl6fwlYtHnC1XBJlaS5JEsXXKJU/accV1xAwN/YGmM5BUe4pK4BP4FXxvgst3JPynf7HIv/1jePC5TWjjAvlYW+JEp0xuGIaGSiQZBCqXYL4PvuckmqtTsXhpObIUINLHMsYznNtMtpis/DYjHgfkLK7IV9uc2ceBXdQE6QzYOdDdPWu16/aHnDzyeHVt8dKXSvl333Hi7wTw5564nU3TSe2zn7sziAaWiZpKy1rdwckApaRFawcyrYoqNq0Kps5AngO5LEOy5zmo7QuCG4qUdFYlKFOp5NLWRT25kydQ8SEMDNWKpRo6/VyrxjRrEZP1PrNTLR49POAX3z/F0yfn2DapmKsbJqqCRkVSqyhqVUG14i4Ol+qPeHC/oDsIqCjSi8xp8KwJQRtBnHjUK4qbr+rw0LNN1w2TtoP1+opOqAgDReAHqX6e5Iqdhl/9kQv87B/A/fs3ERtJbEzKfkUP5jCQhIFx7J3Wpvjpxe3upDKlkHFSZLX560FOKc7JzkEZ6NlKOyopSaVLRmQ2BXlBcJmxoLXJSwW0hmog6be7/NVffTF4ya2vrf3FJ77Q+553fPt/f4APOocJ69snDzz+2d/fNNl+RVvGKOnOXMacUlgHcCFIJCiVAtuAUVlQmb72HKvblMVtxtolQGdVgLnWxj0pyxKEKygSMgV3WmSkcoCDSisGfQ8CH9cJFKQFVqGmmsqLRnXIRKPPVKPNE0eG/OL7p3jyxCa2THrM1QwTVahXBPWqolZV1HL21lTChEZtwN1PBqy1KkxNFWnyDCwm1aaxVmyaUbzmRV3ufsS4LprIlEAuqfiSiu/hewGeV0VKwxU7Le/5kQv87B9Y7j+4idh4xKl+jdNlPooNYSzz6sLAk3heWoQlBcrLjg3558suwkyqiKwqjSIhlJFLxugZ+ZgRwJOvxnnsVAZ2JkPT95JcsjrpYlLFvbwWo2m/YvLIiT/+59/3zh9//NmTa9dftfu/L8B7nXMMeos/a6MD3131ziEbVRItigg7Cy5NkZ7XRuQMbjR46eviYKRgzzS2KYH7+Zg7RXqWkcu1t8wq6ArdnVUMegpXn+FZfN81FlcCQyXQVCsJtUpMvTKkURswPdHisUNDfu4PZnni2GY2TfpsqmkmajYFd8reFUk1dOxfCRNqYURihnSiEKEkfsbguQYX6UlPkyGxTz0YuHKBqMJUBvKBphc4Bg8Die95+F62Aa3l6j2W9/74Av/m9wz3H9hMbDyGWhBpk7K4oBIbQt8S+K531UvjDk+5EmElZXp80q787LFUmJVfmOVYx7IuFjLWpituVpJrU23uyGlUhpKC3IE6ky7aFMaCTa3is0eXGMoT333ppY8fHUbxv/3vyuB6cAQZ7th98pnfuybqn6VaASmTwuBPAZ5IgTQCI92BLKRICegb6rjyAROlQLLIShZWty1YuxxUlvo4PZlWDErXBOArB+zAs3n1YMXXqW6OqVaGTDV7TNQ7PLg/4ef/cJbHj21mbsJjrqqZqFgaKbirFWcnZuCuhppKkNCsR+w/YbnrsTqBlPjKpEFcsehny3esFYnxeNUNMZdc3OXoqSpztbRTJu2B7A1SFvYUnufnXU5CWK7aDb/6o0v82z8wfOPZOQZxlaGWRImlltZwhz4O5F62epm8t1Uqna9wSooSwEUJ5KVlch3I7SjAS+DO3iuzuc5lTAryTJNbm+v0pPR+rCGxHoeOnedzX3n4ml//jz+y+4kDp09ed/nOv3+A2+gY+FN7orU7f8sX596qaBH4VSBBJopEWGTO4A7sRgpUxuxpgGlSp6RgbUq2X0nfjbsk69ySlLnHwS0sUmUOTjEgyE+ZO/AMvm8IfUMYJFSChEoYUasMmZ7osdrpcc8z8Kt/voWnjswym4J7smppVAX1isi9cue8GMfegQN4NRwSac2gX6Gi3EUmhRip5MsSKS7Q9JyW94YMI0s/FiWAG4JAE/gevi/xlEJJPwc4Aq69SPCrP77Kr/9Fwv0HZjjXajKoSya1pZFYKunEgdC3qfefOSk2Z+9MqmQAzz9v+qFFfsyL42/Tk1KsrDaXLKNgz86xLel0O/bICIMnqQMTp4mh1bU+B8+svfUjf/2A/ie3veh/eeLQuRPXXbbt7xfgrdVTSLV002D1ubcP2vtRXgPf6hxkUliUkSRSoKV7rmVJupStJZuCPH20JkvY2FGNt461R1VhdhLcuIeMvW0qT2xpOJBNu/BNOmZC5+AOgxTc010WV/u8589qfPaBOZa6U8xNSOYqKbgrTnfX0sCyGkpqoU0Z3GnvShgBEV9/ImA1DpgJGanHRoyuUFq75odm6PHq63s8eDCiE4dMxMZ1sUeGYOhq1QPPAdxTFiV9hHQJGixcvlPym/9Tmy882OdXPrCZM0tT9Cc9JgNBIzHUEghjN3o5UG6gkZ8FmlLkQXD2WA7UyxemKCZ6jEiVrFOoWHFtSZuXQF7qJsqD0JIscRo89cxTBo+0QEiP+x87yt7dm9++e67+Z2ud/om/dwY/e+QLWKGQZhlFiBQWT2mnFHAA12kxlZbSXZ2qyHppWzQfmOx5+rhOkiBSS2oc4LZgFJH9XZP73S64TQGuLJ50wPaUA7fvaQJfE/gJlSAmDGIa1T6e1+PuJzV//MUmn793E5FpsqkpmK04WeIswMwnV+ldpMxdZu8Yzxty33OT9CKPrbXs84wzeCbNXPF/xVe89Io+iXEA78eCQeaGRG7kmu9lFqdKgZg2abtLndlJwXff1qURnuMDX+xzz3MzzMdVehVJM7HUPetA7qVxiLJpXGJzx0uW4pcsSVZm8bJksfn/jQG8RE6ZJl8XiJblSsl90aaoT8lq0uMUJ81Q8cjDz/Lam/b9z9/91lsev7AyOLxpuvL/HuDP7D/N2vnfY1lvv6YuDv2HSe8MQoZorfOTJlLmTKRFasfgmeFvcqCLwlJKQZ4HlIj0IIi8IbiQJKP5NQduOyJL8i78tGJQSdKGZZMzt69cLUboxwRBTMWPqNUGBEGPP7/D49f+ZBNHF6fxwwpbGoLpUNMMLfUQ6mmHfTV02c5KmhBy9Ss6XQmcPFlqa7pRQKAUgbR5gJl9DUtRXqDTeo0o8an6A7ZM9lnrNdzgnNjJlMA3+L5ObT6V2p0qT6oVgaurfHzry7vceOUiv/qnAz7ypTlWkjq90KfuS5qeq8EJPQgUeTOElyV90pVP5lKlSAClNn4mDHN050xeelwfgI7JFTvG4lYU+jsNLpNy04WBWCieO9vi/meefGVjorPtzELr8KBzikpj1/87gGut2bPvp/fc+eBTH3/y8fsu/zff1XbNp7GH0CkEpUVq5VhcFlrbgdzkz8u1DZmbUH4sZEmp1HUE3AWDC1kaDjQyZsIN5yyYW6cgTwg8J0nCYEjo9zmxkPBHX6jz6W/McGxhimbNZ7oCU6GmEdo09Z6BW6bglnlSqJJq7zBwF06zPuRT93kcPlmlooTLGGYOCgXK8zEO1unwOPG4fDe8+cYOf3z7DN2aRzO2DGJLGKVxgzJ4nkzH1lECuV+iVbcq7JqV/Pw/63HNRWf4g89Pc2x+gpWkSs/3qCtBLQV6IK27cFKXKV/9SkOXhEg3hUnlCqKgnZFTZAvI2zHWLgPdpPaiLvnn2mYMnrK3Ldg7MoK+gX4iiJOIvVN3cdvVl/xhePPr3pjEK3+jVHlBgLc7lkYdHnj4iR3z557dW/UXCXyLMRpjMgdDIY0DlpMmaeWZkSWQvxC4S6xdArZNT1imtXOQiwLY7jEtGkrB7VyTjL01vpe4zh0vIQyHBN6Qjo5438cDPvCFLZxdnsSoKtMTiunAMhEYailz1/L0vUzrVFJpknrnObgDl70cxhGHz4R0o5CpMHVxsqRT5kqUVqi8JiX2aNY9LtoRocIBnahBPxBUY8swA7in00SNcj62zEqANwpeFXMTPX7srT3e/qp5PvCFNn/0yRmW+nX6XoWKp6h5gqqyhIl1bC6dVPFkUd6QZTnXMXnpXIyCm5FcxXqgixHJUpYpWSY06ypKjGBoHHv3jSA2blrXkZMtHnnywN7tu2Z3XHbZ9SesTRDi+WH8ggAX+hTRsDG3d4f5OEsP+Je8EpLERwg3t0QIizSOvbVIh81oiUorz0y6tV/2vPiCosTYYoS115f8ZKFl0U+ZAVuMsHdaJae0A7iXjp3wYypBROBHtAYR9z0l+fM7mnzyGzMMdIMgCJgJBJOBoR5YaqGlFhTgroSSMJSEqTRxiaHUmUgBHvgu83n8vOWeR2tEsU9Yt+sCzOxW2KPuuESxwvc9XnNjh49+tcvBM3X6FTfvZehbggT82OBHBqXcnEYnI2Qx3IcCQNq48tVa6LF5ss+/+a4eV+wa8pE7Gjyyf4LFfp2BCvB9j4rnphyE6YAlP7NXpU2Hnpb1+GhR1oiNWNbjKTmtkyvpd9c5k4uCvW3aE2oEsYXYwMAIovTnYEGG/NfP7eSeJ4/4v/mLr/z49PLai9ba3cW/M4OfW9klq+Lhm2rJJyZ2bFrCGA8jcQBPgzojLUIa55oYiRIybfbN2FqWNLfYANwi//LOZhhBdhq2p8OUhU0TOW7+Xlbu6XS3C3pVes/kiOfFtLox9z4j+NDtTe54bIKVVgNZrdCoKiZ9SzMw1HxLLbBUA1LWdsxdDSWVQFEJBJWAtELPpOA2hL7T38obcugMnG1VXGIl1bejiZMCAK4PMq2+M5Io8tjcFFy6s8/TpxJ6se/GNMQQRDjwqWyybpaoATnWmVOOc7SWxNrVh7/rNX1e/5JVvvZ4hw9/qckj+5ssd2q0ZEA38AiUIJCCUOJ6OKXFE1lck04hEGnZ70YAH8d6OeCkXJlYvqcAt465tYHIup7Q2EKcXRGkmR8hSaTHc2di3vPHd0z8wo+89qaX33Tl7bzA8KAXBHgoToRJ4v3e4oVz9elGnDKlBixKmDRYkkghsVIijcRIOQZqWQJ11lKW9ktmIKeE6xLAi7oIp73LBfpOlphUcxs3VllqgszNkDGLnYS7H/X44r0NPnvPBBfadUSlgt/waXow4btOnqpPKjugGoj0LtOS01R3B4IwY+8M4F5CECRUgghrY77+WMjJ81VmpwW+NKmOFUWjb+k7ZuWnOpUU/aHP7s2C11zf49MPRHRjn34sqPiWIHEsPoxtaZVSuV+NkCMyxWbH3RSSMUk8quGQd93W59tuXOYz3+jwhXtr3P1UgwutGn0R0A88PF/hCYEvBb6U+MKmUssiEanksqPfqSyTxtm8BHDDqDzJWTsFeJKCWmft/vndYQ7hXLe+lZw8da4urfi9o0fPXQH0/5sBvtyyGD343qXTd01O15epV2IsCQKTfuhMcqQd7Eai8m52UTymLF4U0KcyJDsRkC9nxfGyIwdOlIEtTNo8bNzKkcqRwIupVGIGQ83Bs3DinOJjX5ng9keaXFitg1/Ba/rUlKThWxqeoepbqj5UfAfuiu9mEroyU1m6i/TnNgW5yUEe+K497eg5w9PHQ/D9dJm3pRT9aFqwvHTrvEHAjXO++qIhV+7ocuBsjX5FUEsEYWwZKlJrz6TsnbkpmQVZaJXcZ8+aE4xKpw/4DCKfanXID7xhyFtuXuPLj3b5y6/WOHGuwoGzNaK1kCT0GHgeUkmXzif9e6Slx5k8JAug7QvKlbwphUKDJxRSJevGsrmxnoI6v2csDqCwxufkCc03Hn2SuZkX3j3ieQG+utYSURz91Ac+c2By53TMjZcOuXFfhPIsygOTSOIoA7RMNbYaY23pmAo5JkcygKcoTk94mRHyRE5pIKcr6TRu9IPUhKGbpJpozfwyfOVOj6Nnqtz1UJWzq1WOnqtDGKJqHhVPUfcsdc84F8F3g/MrvhvX5kCc3WV6VynASTV3Cm5fE/qOvd2FFXF8EfafqOHLUXswlygU9eC5Ls0bCGQ61sznyt19Lt3U45ljCb3EpxELhh4E6UxAVQK4lCLdy6hgchiz4vImBJn3UsbaZ+gHNKsR3/e6IS+/ps3Z1TZffzjg2OmQLz9W49xyBd33MdIjDhRIlQbLzlrJnZXy43qM5yB3sxFLVaGQThqzo2xNWrBkNbk0iQ3EFuFbpGd4yb6YF++17J29f/Yt3/6v/+d/Pjz9XhnutBvh+HkB/tzjn2EQaT751TYLK1vZs2mNq/f0eeUNA668KGbbtOGSPREBAhNnLU2qFEzKEebO7xm4U+be8JZH7DYfSp/dldL4oSbWlmOnBU8fU3zloRrPHA947niV9jBkGIXgB6imT6gENQU1z1At+cChl9VpZGWzri48TGVJECiCQKYXgC20t69dZtF3Or8SxFgTsbAiGdrQTb+VFq9ks43Xddh8mS76HXXqhws85qYjpBrQjX16nnBOR1wUjHnKjGQgpSjBKxt2hHAz1zMmL/VP+umMwCj26Q0DtkxF7Nocc8PFQ/pRn39+vMUzJwK+8mCFp49XOHYqJE48bKjQUoGQ6PzLyeJvb7Rpn2CDlHTWGJ6CG51q7fTRpg3kscXDsPeiiO3TmssvinjVDUOu3qPZOhNyYXml/oWvPfbdxnrv/W9i8Pf9yZd57tyaOnzsEXGhA2uDGk8etTx9OODLD9aY8BN27Ui4el/E614y5NXXRWBdIqVasyk7SzASHZckSpFkT2eWjKbGhHBfWkhXN0IqR+LI0hs4Rj9xRvIXd4T0YsUTz1U4cjpkqRsw1AF4ASgf1VQEUlBVUFOWisKNM1Np4ZFyrB34wiU9yuD2JUEqS8IAwoDUNXEpc98zBH6SZkRjqpWIC6uar9zfoNUJmZoQeKkXnxV9bRSM5eWmuRaXDIeK2RnF628e8OVH+pxq1en70skUD/zE4seZZ5167FI7u5DyrBOZ/w1jvdLfcEAPtEJ7isRXxNoN6vG8hNCPqQcxL7864aVXDHnbKwccOi15cr9PP1J85Cs1js/7ICS9voeOVN42ZT2KbFD5vOYAL2WDSlJEJBZhTCpPDNWaxvcNAsurrx/yuhuHXLUvYveOhAkPZhsCo91OFI1an2D1fnHVvhvV4qnPJnO73vq3A7gQUKtOvO/Ox7m2NcRNhpc+RlsWux6LRnN8xXD/04aPfzVhbkpjreH6y2Le9dpBWsAOcxOG666OqVdsOj7NrdFioysdkQ/nafUETz7ls9yWVCvw0H6fz32jwiBWDGLF+fkAIzxi62OED56HCD08KQmUoCItlRTYobKEyroacC/1fL2CuYOsLzMHt0p7NEXO3oFvCIKsQEvn7B0EMUpF3Pm44tMPNFCB5+y2Ef39/Ayed8LozPFQDAY+b7mlz2fva/ORr0/QTSrUUx3uZzo8zpIyNu8WEkLmAHN/Spa0frkmKO2G9xyT+54i8Ty8RDugK41SbpD+VCXhln0JN++LsWLIO27rMYhdfchffyPk4f0B1VCw1FY8+UxAuydTlTQuWDJgkwPdWtcaeN11EbOT2g1J1ZZ3vbbPdZfGWAtzU4bpSYuXDrYxWjEcKmIdEMeS0E+4elf72np98n3Wih/7WzH4cNAmCBvNz33u4/s21SJ1REBkBQjP7egnnT4yxjK0hoWWz8KaO1uHTho+d2fTVZlpy8SU4aZrIxpVV/A+lvtav5alrsNaV/HI0wHtlkR6iqGRDK3nmEl4roNCeiA9pJT4UjgwS0soDYF0QAgUBKqY0edAXoxJdnv8yLzxuAxux/BpWa2fMbgu3RNCL8baiLNLAdGwQjghCdK0txLkPnKuUEV+fkeSXBmzaqOIYp+phmLnbEQgBvSTkH4iqHpuCGZWQ5IltJQsl7fK/G+5v5EF+qY0BN+kzSel8Q+JTvMGyiXIVEKcaFTscgme0kiZsGPWpCuG4YpdAyLbQ3qWVkvwyNMeaz2JyhXLaFA9eqZd+Wy9YnnptTETUwabuJ9UpcAT2SrvyrDjNMbLzAxjZL5zxflFTw3WzL7bXv1Pm6tr3fbUZP2FAZ4MF0mi1ffevO/x2zbNnsYcmE3XWZV+aAXCuEq2PEBwzxNraGXLkLS01yzn76wXy1JGX+WlIm/kLJY3KwQm23KBtOZUOO0nsk2phEsxO1CnaWdJunFr5huXHr20k16Rbr1HDm7X1uWG64eBIPDIS0wdg6cs7hmCNDvq+zFhGHN6yfCnX66DF+BLUQSYuTzZoLa65BFnQ0Id2Nx44Sj2effr+3zm7j7PLTToap9a4jaldVWAtujEUVlOoAj28mOZKwFZKvDK7iavhfE8ha9d/sDVi6tiEwJp0rrx9LnI4iGNJwzCGmZrhm9/mXHDl7LNe0W2f4Yt3huJuUSaDFCYxMsz2SaRDFM5m4/fsyIHfEYMUlrq1QHPHD/Npx88fNu2XefeG8XJT/yNDH7h9KcAFQT6BDbpYXUDRKXoJM7XWFOcrbw6aqxSCov2x4GdZ29GgV3Wb/ly63Y8zlrQlABfuGGdgXBSwJM4r1aR1lSkz7NCIo/SHJSMtYuu+gLgMpctYWDzlrYgMKXBOQl+yt6BFyNlxMl5wWK7gvA8QsmIPJFi7BouXerlCsqyPk60Ikp8ZppDdm/pc2B+SF97DDSEWuBri5+kOjzJ0ummyBkIVbqaRC57nZ2bNf2KkjQyeNqglUR5ronZkyrfXUOqdMeN9J5Zs+5v2nRClkFG2aSswiAoyizsxoIlt4dFDvCiDqlIBhYrksiPohSWwI8IA83B42f4/Y98LtBmvUJYB/A/+9IRBIJee8izZxpY6Tv2lKPL7KgRVHo5EkzA2A9LIC9YvNy8kL1WIsueOVB7wrpHafMaj+x5/t4YyLMREZ5ym0t5XjEPxYFbuscgA3oWfKbgzrp/PJNLFN9z+jQIYhJivnBflYXFKv6EIijXcJQdlNFvXDBrSR+Xkz6DoZtg+6Zbu9z31IB2UqHneVQTQ5Sm05UsCqKygjMhDEXnUBZojmUQTTpTxZI2oQg8I0iUwNMylSjunqRAL5JpJk+wyQzksnC6xJj7lVV9jgBclLBQBngOnZK0sYWFPNILICxWGJLE44pdmu97/TEmJobYDRKaIwD/k7+8g+lm5WW//qFv3PjAU4IBFuE7OZCXpo59ODumtTaqAhyHdrlz29V0p/f0uSK12UQ208S9zp67x6xjhxTk5KMQysDO56AoRnZpGwF4FnBmutvLZIlN9fZoLXngxwR+xHzL8NiRKngBXipPvFKBUna8xBjC3XJbNFGbvGRU5p54HPtcf8mQmck+rdUavURRU+An7ruobOZjXAa4K6MozpEs6uuzrLGx+ZQqowzaCHwj0EqilUErQaJkakUWxWtZOUQGbKVszuL5YNNSQq6o/CwngTZOCI1e+2KMMzeuTTLCoo3i4q2Gn/qnhoFt3JhU3/qydx5927079r5pY4DbJKLbtd++taGvm6om9AnQlnT3341j4/Ln/BuwnX/c8r/lXtsRgJdHrmX3DNhSknvM2Xte3qJWAFtJJ0tU3r1SADtrvnXsnWpuj1xvZ5agY+wC3H5enRgjiPn8N0Lue6aBDD0CKdz87byCsFyvXq6jLpNBWmFZKkjTxg247A98br6qz5tf3uGPPt8g0iFdLaloyzApXdSiJFOkTFm8/Keej8nBeLIobU7BrZVEKeMYXcp0tEQBbidPLFIVlZxF8VvxfFSqFI9Ft/4L3PIfv1CexF1Aw6Gk25cksnpdc9Pg260x95Z/NQd4t3WaWrP++r/41Ff/2bH5JYSQ1KSrNynY1uYq5b/1NtL6VHqdVQTmzynrV5uCuxhtkLG424KEnM29rINeuecjLJ52w/hqFNxunMIYc6c9m0Ha3uZ7WcNBUrrHRMT85debaBui8uxlOcAs+hozZ2NEg2csnnc2pZ1POgs2PQQ+73p1jz/7wpA1E9PXFfpa4CfkLC6lRSYiLzpzduH4Ui1L1qQogVygvbQhWKUg9yzKOLmilXGrhJJp9ljmpclSZxZlAe4c5LKElXx7yAK54m8JoJELYUTVFu9bK/E86HRP0VlY/GfbL37zXYePnfnypRfvGAX4ifmEqV50ySMH+3ufOtFjohKkhTZ2hLnFBgAffb3+6hzv68tcpJzNxdgqUWLBnMFFkTgpgz4bD+e6eESuxbPRCCPDblJge0oUTkpuB7qOe9eYbFPmLgJMr8TeoR/x2BHJ4XMVrPJRUhJIk8qo8spTLFXrluYRDV5u5RO5oxInPnu3xVx5cZcHDlWJVUA/EVSkm8brJQIlbHpsBDJJdTgSgWH0T4oSi4uSNMpaxjJ3xdW7uEGpIu9tLcBt8pmGUsqi8E2AyAGf/sVMNlEqsy2Bcz3Q7QbYKpg/e8zThel7njLMNucJpxb3Tk30L9HJ4MvZf58DfP/xRSbqFU6dbxNrk2tbVf6QYx9KlJ/Y0Q8w4pWMAHy0njhfyktglzn4xyYv5UsyKCFc93wG9rTTJWdyWYxpK7b/Tpm7NPzHdduTAzvPVubMrQk8l9hxXUExlphPfL3G8nIVEXrOdy+tLOtqUMaOU1l7l1l1xJs2bm+b2WnJO1/T4bEjTYa6Qk8FVLXT4lk5q5Kk4M7WCpN64llhLoDMg7j8b+aN36N9kdpIlEnjCWlRxpYSSzLV4UWjSVGbL0dr9uW4TBkF5jhDbyhdxgi1LHkETp5p4WqLJusrhOo0VvTy388B/pvv/zyekpxZaDNT9fOM3IjdVf6Q4wy+EfDHrlRZ+jfGZUpZquStUqIE7vx5MY1JjrF3eYKsY3GJ8kYBHnjpACA/2zowzXB6Fj9PxZv0uR65e8p17jx3Ej5+R4OhDFBSpcdq9EIcz2BuaJNRYvGSm2JSBk+0R6g93vm6AR+6vcdTx6rEyqcnJYE2qXskkDoL9NJjKEVu07mbSf/W6L5FZSbXBrzcQrR42qLTkgClbT6sM2+EkAVzu50zKEmVAoAZ4Mm0OfwNABc5y6/HkS0RZvq30mB9QJ3F+WOIxT+nXB7uARw+eoFLLp6r/S+/8HsX9ZaXISw1oubjGTYoqVl3da27+Ir314Ha5qAfCcbGpEk+pyMDdR5gklfUFfM9yDd1zeYQqozB0yTPCLiz9L2fNSabdLvwDNxZT2eS3mOUH3H4rEcnCkB5qTyxY+Wx6y/eERelpIftuBeeduMUiR+Pui/Yt33AU4cjtAnpm4CKdjXbXqrBlXCDK11iKSMgQxZkFie9nDBx6QwvH2zq3lMGtHSAV+nuFNIUEwLUCLgLwOcklTWmUIB7nMlFGcQl2cEGhCDG3y/9e1JaN50gFuh+SNjcc9GVL/mp2qD9c71Kc7MDuI2PsnT+3OuuuGziZ794z4DQk/gq+5DuX5Wlv/p8DL3hBy6Bugzy/N8VxeOoXBEpKzAiU9TIUM0M5BQ10qoE6vx5muRRpF64A7cDcDEUyC/LkzJ7q7SvM4hY6Rj+779qsNyvIELfyRNpR1aVYnDOCwfk+ZgFk47JKLspaeo+STyaNY+f/I4OX3usyfIwIJIefSkJ0h7KYuRDtgqKUpDnOmHc2TApuE1ez184KyJlcJvPcszArqRIGdxJIl2SJlKOgruYVGtLF3ghW0YZeJy9NyLNUdkyzuD5TB4lEaJDX0/97KNPHrwX0/1MicEfY6Luc/bcGaxJqARBvg30iH7ewEXZkM03cEwYe8xYusziQhTgKG9e6oLKAtjl1+7gF+PHVAnUnnQRtpcBW6Uj3DJw+xm4TQ5u38vqL0bZ21cxQRDxsa/7PHu0CtJHSkkoC89+3NrMvvzzVhOW2DxvCijJlMS4lrMk8bl6b4+3vrzNh26vYLyQvgwIpciTPkoK4pEAb5TJRZnJbZEZLNfEGAXKulXBWOHAnVmwJt16Jh8rkWnw7HuX5r+UZUrO6iX2zXEwCvh12MmP27i0GQW/EBbfSqDP/LnDtLVEMSAH+IETM1SrIcura0xXoFoZG4Y+cmZG3y//3vM5JSOsLkhT72lVocjGEpS1a3oAM2mSszYIKfKB9hsDXBYAV6Uaai+tS/HJpYivCrfELw0HKjS3Y2/fc1OrVluGv76zwVIrhErqnojMHnx+iYIYq58sVS+ss+0yyzDbE0cr4sRjqqn4J7f1+Ox9A5a7IZHy6GuZ2pMidW9EEfDJ0VWUlL2zt0zO5kXHu5c5Kyp9LtPX6fhrx94lkI8BXOTfPws8xSiDM/peZp3mEtZmq06ZwSmyhy+wHA5jsKbOjk0NJmarmEQ5gB86dITZmak937jv4Z96pLvA5mkvH8SSTSvKD1O5hKT0cqNRAq4+eRTwowxeGndMBur0AEmQFMMgy8ydjUQuz/4ud7i44e6Mgjvb2SBjblVi7nUMno2bKEZOeMplLo+fEBw6WcEQIqSXN+cW1YOjE6FGOl1EAbdyxrfINJZT9oWjYowLNrEel++O2Lt1wPKBKlYHjsV1ui1jycUp5EC50CurH5KlzneT1+7nK4ksZn2PxDYp0KV0+lyWYyJR+P4y3U1OprMTC6CPfp517C0yuI/Fe+mFMMarpcbmYiRgFHssddpcGk781N59L37i9KmjJzytNf3BcIvAvr7fW2Oy4TOIDHHi+gXLy2j5NrLsbrCsrAN0+YPLzAYU69iuPDosn3aas/gosPNHRToKuOyDl+/pltaqDO4SyNP96v20NDRjb5W+9rwYpWK+8ECDw0tVCAp54pesy3KQ7L7fC7PO6GCccmN2aXezrIw28rh4NuJNN/d4+LkaGJ9EOy3u63TIpx6VSiLvgs/gkdmGMiWv0Rk11gqMTJ/LdFWR2d1NBpbG5qDXsiQfTcrgZnQVXsfiZSbP2duOrvI5sMlX+fUHL/02aXAepXuGttot9lxqX5/Egy3G6BOepxyIKqFkqukziCQmPepSjM60KP/jGwF8RCONgb48yHEU1AXIi2lKxZTT/PUYsF0mM3NRSsPcM1CntSnFth2sB7ZXDAjKR7x5JgV54uSJiqnWIh44qPjMnXX6gwBqHp4U+GJUmowHmOPHZYNzNKq/xyzDsi8eJx4TDY+3vWrA7ff1eOhggK379HWIL8gvNLUOUGVwFyAfrSEyxQWmHJtr6fS4kU6ba1MEnEamgWZ6XnQebI7PUBGlz+Gey5FznmnorMy3nCMp2Pz5buXx21Es6Q0kK21Jf5BuhBaDV6sMqQQec5MxOzcLjp+TgClsng3Y+4VYu3i9np1HrcIimCxfANnynj3mfYcliZLdHcDT5I4sBUSqXDZr8bxihLKXbsLkqVGg+zlbu7tKnZMgiIgjze3313juVA18HyEVgSDfXKocXAo5dgGXL/Iy+2SsmY46s6VMZjaOI9PimV0YRR5X7Ep4w61dnjxRZZgEaOnTN4pAM/ZZRIkF14Pcjn0WVHaxGYwSqKxBXLpHKYusZx77SJDWsbEyhTwp2775MSkTW4ncyAPjDNR2Q4J8vhUwY3FwI5fPXkg4tzRkS3tIpzPEWzzzQUJfsbrcZbnX5/xybaRYSGTHZeSPFn9xQ4dkhLlLYB/5kqO7CZQPTM7caUNtrvFGpEnJKswZOwN4MTk1lygpczvGtjlTe/lj8dxPg0tPxYRBxDMnBV++r0avH0DdR4qscpCSPbhBFrMUa5QpoKjCtKkGtmxUPlvMNVF5t0+jEfGGW4Z89u4BTx4LwQsYGslAp46KAaXLTgZuhmQqF9BlsBfAttatfK4+RmCVY/NsVck0t5UgS0DPPHAjQRpRCjRL+tsUx2N8ysAoTrLjZZ8X4GVTIzdehNtnadtczFKny19//U4+c9djCDTef/5oi0oAx85Y9h/02bfVMlFzFXgyOzmSERm0YVA5or3FBh+8FFhuAOpMhhTvFZpbpM+z9LwURTazzNpuulUGeMfWKp8PPgbu9O6X6p+dPZi4e9q1k1jN5++tcs8zVah4IF1Ds5+lycugZuxefvF8DFSSgK6ctWhG1jaba1IAfTjweeXVPd70sh7PnqyQJD5WKPrCw9fkn0nogsWLj7Axk5dnfCsl8hEPxpr0dbFjhy77/RmbWwfi3EEpx1D5+S7r8TEtPkKONifE5wV5KUmU/Vueskw2Er7/jR1OLrY4t+QT+Bbv2NFZEAKrYy7Z1KMajC4vUo7+oeIqG/vD48ydL0Hjurv0JaUoOQ5l/SoKdsiArgpmL9L0pbsqwJ3t6pDfvWIT1AzQfgnUmXPiHBP3qFRM4Mc8cULy8a83gACkjxAKP0/u2Ly4ajQbm520bL0TYwCjqElhrOiqXEKrXeuem0Kr8vS9tR7venWfr9w/4JGjbpJAbBQ9LfK6eSlIU/ilZX/kWkvdCWsdi5eB7oi9CESlcDtX24y9i+0Zy2yeE5MpQD1q/ZaBXTpOI9L1+ZWB+/w2J9AsQaikG83cHyiOn51lesJjy16FMRbvxkvcMMdeX7C8mgIyZcjsA/NCfzgH9yiYKYG8ALjIP9RocFkCdmqvjVuD5UKrEZCnbF1sNpVWv+UD8Atwj7B26TFrrM2kilIJvp8Q64S7Hqry9JEq+D5IF1wGwpYmx5YYXI7JrhFAjULLlp7kpbOlGpGR6kItMSp1VLTHMPK5au+AV97kWLyvHYsPRcDAgKcLB0PqzJ7L1vOy4TZqA49YlxJkSb5Ia1zQaV0ewlrhAJ+BO5csZe39PGBnPZOX8bIx3jJtXnJfACts7gQl2qPVVZxZrGHxAYvXnJDOP/YVcSyJEvcNRQl0Iz5l9sdHPN5xwI9KEbKrt3TVjfjEJY2ds0AO8rFqwlJVYbbBVMbaDuCmFGQWAWU2L9zLQV1MoFVeCeCpRAm8mMPnBR++vcEw9qHmp/KEvDVN5SfNlr5rEXeM6JV1+mQU6GWZYsq7CtuNtLhHPZR8/xt6fP6eOgfPuotPG0VPK1dlqEU+TxBhETody6FHVxKbAb3E4MqmcsUKbApyaSw2PUdWCmQqW6QUCJueI1MCeAr6EQla0uIFCZawthFxjuBtNAAVAkyu8d036Q0EiUkQyo18U7/1G+/d3O7b//zo08cvD71Sg2/uXIw+5kFeLmHS98QGvyNL2jl/T5aeF5lHKWXxuuyKqHF3pBxElgJJr5AjRXA5Cm5fWTw/y1rqscxl0czgexFaRnzoczX+7MuTEIagKijlUVOWqrLpOAryBme/1BpXZFLLiShJMRmWkQA1+26ylBHNLlohSRt/i15IJS3CGnZuiTi7JHn06YBESBAKI9yINW98JRknqAxGpSRh1i4mbEnUpGB/vothVMO7ooBy7qR8H9nKJLXky53z5Qm0hXQrP5ZKCyhPKS5cKGsFm2c6XHX1DVuuvOa1X/XQT01OVFbeOOwPiFSNwCPfTFWUWHc8M5kfonKQQMFe61yEER1WWh1KMiXPYo5kyMpVhHZEe8scDIUkUSXtrfKdHmwOdF+tlyTFo3NOfC/m0DnJR79Ww81fcezttHcBTilKskkUJQfjgaYov8hlyRg4TPkEFnMFXeCZZjWtxGiFVqkW1x7f9Zoen76rxv4zPsgIKyQD7ZMNmsrln06RrLPETwbW4mQqWwSfqrSyyNJjfhfZc+eHGyPywNPKlFnXxSajz01JzpatwhEmLzE9MIbJUZxK6UbsaW05fGr5jfrs05PevU9UuHAhxJMqZ5911XClq39cd6+zB8uAZiMwb6S91+u3cWniKsYyYJX2lMmAnFW7lQGeMXhJlqj0uVIG5aXZSi9BKXf3VIJWCZ+7t87+w4X2FkK6hEreQbPxSROMvxbFMStp8OL5aAPyiCdemkjl5RsKZP64kypXXDLkLS/rcvSjIZFWIDy08OgLgaezscdZoJs5KmKMj90nzLcDtEVMIK1FpZ8xA7eymfZNU/wChEy1cCpVynZhBnYpwJSPTWl10ax/b0Ncjf+sVMglrYs14tjjot2CRtPizU1UsVGF2Ukf35d5gdP4SRnPLI1YgWMXwSiwxxmd3H4sNzaI5wW4XcfiOWunLJ4xtyozd/66CCiz1Hu+xYk0eDIbapMOvvFjjp1X/NdPNRlIB26EV+qaT1cQUdRDj+pKsf7gbXAb3SYxdTNssWTbkUBTFnNTlEQZhTYeifYJdcJPvL3LX91V4+g5D1QMxiMWPn0hULpk32XBZnbCypeadWye2YXZCuP6gtyxLssNx+DGafGUzY1w5ON0cVEsNw70ddJpHZmuNzPk2OtyTqas1+ME2l2fxmqNyDbwAt8Ne2/UPJTy8r0qy9kdMfIPrmfpfGkZubJG3ZP8uXz+JWucuUWJqbP2tQzcLoNpchbP26tkNkPbFkFlNkd8xO8u3aWTJ74X0Y4Mf/TZJmcvhKCcPBFSFtZg9jlFyY4bP1G5TFk/VnhDoOeAzxoPxrdbzAb3lDxx7Sa96sRj+9yQH3lrh1/9cEArdgGBtZKhUc421NkybkHnans9yEcclhT0maSyroowX3Gk29dUZcBOQW/zoFvk75sNz/eYBB4D/Dh5mnUYXH9cs2M4jAT9gSCsCrxaCMOqYKIhMVYRJ9lWzBsXmmdsPM7m666+skMiNgBA9oXLTF4qtxwHtqs9KW3yKkt9grlVaEosXgA6kyO5RMm3OknyR0/FeGHMJz8f8oefaDI0vpMnQiGFJBCsbyreIC1f2GClN58H4qUBYCWrsKzPS1u/lLKbeQrfuK3AK17Cj72jy6GTAR/4nNPioNBCMjCud1NqcgYvCrCyk2VLf9OOBG+qJFVyySLcRSdFyua5PLGpTChWW1v+mxm7l8BeJsR1fvjzPY49z/hYG0gSS6+v6fY1YdXgzU1HBDJiacqw0nFLpBAbVA+WEF1eQoqrb1SybAjo0vtlO6l4PlrTUWhtW7IJnQZ2YC/VYqtCloyDu7AIy1WCSenRZS1XVuGvvlZjdZiB2wHcl+l4OFEMHFonpzKLs4RnMXLwipMxvotzdoJGnAKTtZTJdOtzM1onLp1UMcYj0R4Tgebtr+3x6XtrLHcUyBiMIsajlwf3Nge0GGHvMSanBHJcTZKyImd0ZxNarCguSpMeB5v+iawacaMYJdPOGdgRwhXxluRtDrcNeGIc7LnjYiCKDYtrERdWI6wX4a0NVmgPWgyiBG3C3JAfGZQoxv/AqHOyPltZAn7pZ88rTUqAUekSV3TR27Qf05LvZKxGWTyftKoKiVKwtUklSGkXtrIez5yTWsLn76zw0NNVTKa9ZdpzKTJ5MlpvIoVd9x3L33ujk7OeNsr7vRcSZbQ5uGBzl8J3O9llvniifTyT8NKrI978kh5/+oUAVATCTWGNhMdAZGnzLOgcX05KILfu+Ga/5UBtU488BbUQGOncFmNdYqkIOJ18KbR3IVtGSmjzY2ZTR6UkpcZlcIlExxNB5VyCUm6T3kazS3PSwzu3JLiwAPuPa2amDL6SI0vv+D84/o8/X2DwfIFEuZWpzIBClOWIzWejlLtGlMocDIsaAbnJg0yVae6yPMmBrV1gmUkTmaCkG/x+9JTkw59vMN8J3H7X0g16V4Jix4byyrORNCmfuA3Yex2mSsvrqHc8OsMk39BrpOve7Z/jHt32J5vrmh94c5d7nw45uiBBxCDcrhsDIZGIVKqk58CMM/e4TLKpTCntZSqdDJHSFvahdMB2DRNFhaEtATtjbSsEZN1a5b03S6+zpM54UpGx0W8506fPpYQwkGyeVuzdYWlMGLzW2hTttmYwFG6Gt1fIhnyZKD2OAHsDUGfP5Tpw2w2AXrBgGdi5eyJKDbWyBG75fBIlm6dnRvR27phkkkRqPOmkSRDEDLXh9z/W5J7Hqq63TXoglAsuc+1dWJROQo2O1BgHezm7m5+EMXCPZjCLKsN82R8pny2X0bp2Mwd2hdaGRHqoxOOVN0T86Lva/NLvBwwTl/wBSSJ8+ohSvXj2KUZBPrKHsdMnzkXJd8Ur2NxJFApGFw7cJj0uRqYXU97gkjF8qvrHmLx4Ps7gRbwwqiSK3ysX7FV8j2ZlgsnqNN7cZIDUActTAYEv87l+snSS1rH3BgAfCRh4AVCXflYOKnNgiwLQOcBL740El9Lm3d4bgltmz4vuHFl6rWSCHyR8/RGfT99TYxj5UPVy7e0JN3/cK+nuFyqJLduEOdhLcm6cvksxZp5FHAU3aaq8xN62mCcujUJZkw7qcR341VrC21/Z5457+nzlEeVsQyQISYJHb2SFycC8nskLnzwtvBIuYFQUF6SRFiVcrJCdL5vFcNL1EhghUkbPbELH/BvK2XHCHMMapT7eHOclx8YCUSRYWJHMLAVEOsCrVyRRVTFRVwSBWOcMjNsxGzJ5+cpbdzWSN8COS5NyAY7c4HkB7hKgs/dz5jYlmWIKoOcD3HX+XKbM7aXgDvyYta7l8/fWOHi+4qSJcCWxOXtLiglSYj1rjwLdjgH6BfRJBm5HhUUAl0kUMktOrEv8jNeLS6HQWiOlRzz0uGxLzJtf3uWh/QGtKE2/prsixEIxoNC6RQJoY7micmni4J5LFpFmOEvAttJdCEJkLouTMrakrQtNXjRIb+x9lzadfR6JPPq7oIUg0U6JdLoWPwRPpwUwtarbdSzbNXnMEd2QtcszK8YDLZk/t6N6NQsixfMAu6y7081U80Ez4+wtbb7h0zi4MxZ3P9NFQidjbi/BoPmTL1T5w081sCKTJo69nfZ2I9lGM6rF5x+3P8nBXQL5C7D3SCUfo154URee9kSOTaF1vnjqrEgXcCpjiLWPVIYfe1uPI+d8/vDTHnGSgjyVNUMhUcaxcRnk6+RKyUJU6edTmWQRbmNXmYLfMTw5mJ0csSmjl4nNAUEKm/sYI61tKZhGCHMEzc8/8SGzto1O3GeWAm/31i7tWp+4kzCMFXEi8ih+tBFzgytoHYMzcqVuJFfKFqAogTxzU9SIFi/ZhBvq7wzQGZOXJUomS5yLImXhmigZ4wcxR+Yln76rTrfrQ9XtBen2gyyl5cfb0mRJapUv7LHnUEpk/I0MXgI9lLR46W5SJpdjQM/uacAppZtp2KgnvO1VPW7/RpUj59MMmcs6oIWgPxIVlMFdgFylnqfKmFsWn9lmQWba0mZT1s6kXAZ0mwPXZTWz1zZ7r8TARbKwDPbnVxAlvkhLHCyJtqy1I07OD+npId705ABPDJhsxLS6AUA6MkLk//FIsms8cCqzuRg70WIUyJTBXAZ9rm8LrS0ySzBn9Iy1TUmHm5JFWAA821tGpVt8y7QkNkvJe17CMDbc8WCdrz1edcPBS+wtBS6xkzk5pZkjG+rvMouXYpe/7S1n8zxrOHanYPDR7vuSTDESLRRKG4xQJEOP114X8dqX9jn9RZ+hkWl0J8EIEjyGIu3GsSCMTfk8K8CyIxebJ0qaXJJNnMiDRSvI+3dlKRgfkSc2XRVkli8obQk+7qrk4C5LvkICj+Rp0mOkjSWKDK2+pW8EsVR4R+evXbPDg7f73sl/atIt/rJlaPQfEPmVtTHAi8eMwcf1KYxKkmKpL7snZgTUufc9IlNMSaqUwJ1r7VIgmaXipUYq16kjg4S7Hwn4tQ9OoI0HgSq0t5D5OLayNVhcmMV3y2OL7GCMHRNK7z8vsksnqJzBtGltSMbWVtqSTHFzU6Q0o0yeShVh3LCgIND83A+2OXjG4+6HJSYQKYu7kxIblW7yXt6brWByO8ZsGZNnIFaixOaZ/MjYVKQuSg5akcsWMr88kzklfORJwxJxbsTg44nI/KWAIAx40SUzt7/m1kvX1KtvrXXbrbNHl1vyR9sdlQ6sLOoscguvNCZgPFU9UgQlSgkaVSRuyrXPOVCVGA0eS4VS46WweYayHFwqu565cx+8NNck2/tRuQGaZ1YEv/bhCe59vJ72WQagXEuaJwVVSb6hlC/TmSqlMtnRWu5yR3+5zr00bUvKfPpW3jBdkjvlRg632VZ5LFp6nMctyvy98kpp87mAMsXp7ExC6FkeeipgrZ8xS5bqkfkU8dG6meK9lGgz7iyu2HISNHuZPy+APn7xZr80EoPkSa717xfxSvHzYuw0eWKMNKitVyWbNoWcX1r4gfseefqg98zRCYyFQBlmJ5K8iUBkQUPmf5aXiNLVUh6iuKEGL0kRQbn6zo5o7/L4r+wE58PVSwmd9SxeSJEC7LoE+CRN6GiUitGB5sOfneAzd9axlYy5nXsiRFFU5a1jcF5YnuT/2+A2piM3Cm8yN6UonR3tth/p8LEufW+NwAiRFj6ValSEQhqDEB6yr3n7bX2eO+bz3vd7RGFSAFwIrPGIXN9PbmuWtbhNP7zKJIsARapH0s+dpemhqCjMGNqOBeI2Y/TcWSvVq5fithFnxY5irozH7NhkGFRSsmdzwFTTI9EW7+q9nluOTIxEEwbul7MqtvIBHjlnpSWZDMQjIC/bghsElKVAsrAMS8Fm9jpjeJE5Iu55Zg+65yVwZ5q7VAYrU6BLpfnawyEf/GKdgU6n4Ivs7jYxzWtOxNhnW/c9GLuIx+4wBvbn0yqFHFlXF57ahePae0SDS1cvLlOJYvJHhREGbTxC3/CDb+py/5MBX3m8jhVpwJl+EWMEQ9ICMVNo8BxNgtQDty7xY5yWVuAKrCTOfrOpzBfrgZ47Kxm49XryGy/BLluIOSUUMXBx4Rs3yihKLFFs0CcTKqEb8O9durONEAKtE6IoSjcilUSJ2/LZVRaKAuA5sAvNlNmCjIN8DOCydCEU9Sdlps40ejnILOtvs15/y/JejnrUEszvTpr0hoJf+eMJjp0NsZ7CbY84mrX0Bem2IEVJ7IajIcrPRxbv5wlSNgD5+MSwkbQ95eKr0pi13DoU6xjdGIkRGYtLhFAI4yEjzcXbE/7dD7W4/2dCOoMU3Nn26lJgrGKo0y87FnBamdqWmTeeLgCWTHc7IGd14VYU6fsM6DJjcweT9WSwTg1sULU6vgpaN+45MRAlECduRvpSN8b3naviXXqxBOmhoz699hLtXp3VdhXb9x24M++xfN42CCjLyZ78A8uSNBFlaVIGdiFX8ucpg4vyfjDKooQpAd0WAaU0I8FmOciUKbgTDb/7yQaPH6gUnnd2T2tOfGFL7WiFPfh8DL0e4VndxXjkLzZ4XrxVdlHKsrBYgstypcTeIrUPhXvuGL3M4mmLm/CQxnL95TE/+Z0tfutjk0RaAkm2/IIRaKkYahAlkOefOe/KT4EvUm9cgjWuR5eUsbO6FDEC9NIeTGMp+mw1zP6Mg9y4Vbg+I5zp70RDb2BZ6koWu4at2yaYaTbdFuWd4F3UaxM8+9yDfOVrH+Fl11jmGj6tbpCzdvkKWmcHCvILoHhvTJqU5EpZd68Dtlivu4UoGFuKku5WZgzco4mc7O6pBK+i+eqDIR/4ZINW33cZHPF8NSelpoZ1gRyl0WzlGoiyfh2VH+t0uR15WPfeuOYeBXapPkUWgzpN5rBkpbVCYbTbS9IlgxQ6MTQrhh9+R49Hnw254wEFtWypKPSDRjHIrI0yyDNgS1AmXbJNVj6bavOS953/k2NAFwJEWmnoAC3y391Qf5eIdESjZ0c8vXD6sWDrth5vvGye1992C5dd8lJ6/RbemaUmM7rOY4em+cNPb+PI6QpvfEmFWqgK4JblRUlmFH+wzHLrQZ2Dm4zVLeO2myjpbpkCW47p77JM2RDcZd2dShPpJRw44fFfP97kyLKf7nvvgO3uY+y9gSzJbUIY2SyrDOwRZk/PyoaqOyPFcXchT66lS37O7pkOz8bYj6b0i4GdMu3GMiWwS4xQaOG24JaxYe+05ife2eHEvMfhswLrjS1D0k3TGuK+aO6Py3SkGylTk+pwMQpyKd1nlhTxhCgBPSOI/LXI/PESS+cXQvFYZvcCUyKdSym4YpflDS8z3Hq1ZHaXT3UqwCQB3nRN0qxIds8qbt0XMBlWObfos3kGqoHG98Z2zSr9AZmDfCNQl4E/Kkuen8kzJyXzv80I4Md33N0Y3EUprB8mzLcEv/L+Jp/+eg3re64NTRS9lkKIkvZ+vuBydMUa0Yal11A6OeOgLr2xUYJ4tPCqxOQmyxbaXI7YjL2tQFpZ/Ew6YLtmArd3jRASITyMtiRYfGl4+219WkPJz/6mYmFNQCgKwYwA6ZGY1BaRbndkmyLMpu9Jk8mRdChT9joHeymTWQJ6BtIRd4UyXsZbH8eOvS3XNjk5GQaCTdMBrVaV+56oc304xY5qyHBQxauEilo1nJ9qel++4aotr0/iHqEvsMbkB310yzhGQMsIkEdBvZ7Vs63lxvZykSV5MvK3SvsylvZHL3R2GmRmP1POMcl0d4Thc/fV+erDNae7VWoLCpk/qhTc5aKqjS3B5zngJQyzAbBfMKM5nqYvZzLXgb3kspTswbIez6SLsNkYB9eGaIzBSIm0rodTeZbXvWTAW17W48++KImSVJ9lNocFKEBusy8hXeBmrZvoi0zNOlNi81KWU4j1QJcvBPBUvmykvUe0erq3Vu7mC4hiy5kFy3BuM+2e/2WlwnmtB6j/+7/8Dq++7RVrnpJrntTfO+wt0ahLwsDtQOanvng+kCYtUS07HqMd8GlWS9nRn+e6Ov3v8jEPpTJYVciSkU6dkbqT9eB22jsppeJjtDR89p4q/8cfTHB8PiyaGPK7h5CCUEJF2tLMk2y/+yJxVQzmyV5n+wRlAWk2q09SbJRVGp6UD1GS68ZhjMyBGSnoKifUxvtAbSkeSIulpB0jlezfKN7PWNEay3Qz4YpLEk4vKA6fdLt6FP12BcIMgizmLTpqRi7r4noV+eyp9e4QoigJZoMLeIPn5Qu/+DdK/CEoxuUhGEYx27fvpl6f/N+OHDn+4EtuusXt0TPV6OH7Mf2JAd26phIoQr/YUi8DnJDjS3dmFY7uqFXUGJTZfCzBIxlh7XGZkjF3IU1sweDrwJ3p7sSxd6A5vaj4wKfqHDwaQj3T2+X7KHuPlMIyxirr7M8Sm5R1Y5nJS+e+UCip2NxApuQFVpj1GcC8fLac9SvqxmW5hty6sWpFMCoRRqGFdQG1NS6VPzRcvjfmB7+jw8PPBJxYFEWAUdo7NmNym3rdNpMsuZviLgCVWYmixOYpU+eNDhmjk0mVsstWHLdca6cHL6tMtSmebKrzy5gTwqB1wsLykNpEn2EU4T49cNUVe6lUKngi4fzZU4S+oRI4gGcsOiIpSuBlDMjkHzYDRTmxU3pOGeQb7ZxbsgSFSdPTJq/vdhdAJkmKoNLzElbakt/5syZ3PV5JqwSzZE65YtCtyv6ILLEjjJkd+OxA5uMhSuRVOEyFPikCTV7wluvuMQFeZrCi+Crt1zQi71Y36WzAzE2R0qZypdDhxqS7HhuFm1mi0DhC0T3LbdcN+Z/e3eY//fEkq71Mg5Nq8uxkutqXYaZgRCnozGVJOpRTlLW5zf18OQZ0B+SiGTr7nZyZS8c5m4CVnQ9jcZ1Dxo07NwawGt9XbN62k4suvZLBoF8AfHJqCzLcfcfC4gO/Vq+FP1sLulSCQmaUXY/xrGVhEZaqBtfp8NKFkf97ZTZPnZIRPV5ibmGQJeckA7rMAkvhmFspzUBYfv9TDd7/yQYd7buhgTmwM/fEze4rVwzmAWa51mZdLFEAeaNgM/MP/ptu4wVXJRdl/Xy/8vZ/xe/krG2cB58BP3NTsvPjgO/uxip0Ymn4MT/6jg4Ly4r/8mdN+qYkP7Kn0gIeGskwrU8vwC3SfImLUVVJixsjcuIoAz0Ha9qFnzlOJieT0arCsk7PJmDlgzy1JZZu4M+maoVua/nXXvXSy+945vD5AuCqsoc7v/B/9Oq+Ol7dGiPMACHkukxbOZB63v3H81qDMoOP2ovrAsvcSSlAXmbtHNiixNw5uIvn1jM8dzjgL+6o0Y7TKkE2libBCHsXBUqFg5KCfIzFc3lC8d64PMlO2N9A4OP4Lki8VKySFyGlhUVlj1zkkiRlwNRRyeSJFBIjrAvcUitRGJfh1OmxTxJDI0z4ntd1+fIDAU8ccr40mdddpCMBMEiiTIpkckW6Cy+vV0Gkk2YLNrcZ0EtWnzGMbAhcJHlS2ZfXoNhRQhk7fllGU/iSg0cXj//wT/2n3h//7i8WAAe4/sY3IFWNtfnbaS0eIdYTDCPPzaa260+VO5nlEscNmHsDJs/3GC/74XmxlSme566JdYAWFiU1IpcpmTRJ2dvXPHUs4Cd/bYqnD4dYP224leV6k4K9/SxIFKOVk+P3UnXpOlYZATaQD2YfPwt/A9RtqWWteG+MqcvMnbewp7ahyGxD1/FuS764MAIhpJMnxiKEcoA3yoEfi4gs114a876fXeNH/0/B00fSA5SJaDL6dUxukcQ4t8SkDO7lQC6l7Uta3KSv89is5KZgi2uolDAt4Uzk75dvxrrehV4sWOkNueGmvXz/d9xGu9NnHcB7ySxVr879ByaxXcuL9kZgBbEoaiI2uq0Hepbp3ADcI1LFjDI4thRIpmn6FNRyA/YWstDenq/pWMnvfarGE8+GaG+DoDKt7VUCfMqW4FgzMWWw240TO2O6u8wuBZzFyInaGNkbv+WAXqrHHrEOi+SOSAGdSZTMPpSisA+lkLl2d/vlpDIFixYqPV8GLzFcf+WQf/m2Lj/3Wz6dJD1QI9vdizzwtEgSSDdOdsjMWZ0xNrcurskqD/Nd9CxFx48tSxRGAL3uGNpsixWIE0EnFly6O+L1L/W4dM8sg0E3/9Uc4LGuo3TjSKO6+agvt+zVuoUQqXVnywd9I5CPpu/LurzoyRxP8ow5KGVgZ8wtTAncLrgUZfdEJnh+Qs8IPvDpOh//ap2hco0Lo9lKJ1Wyudm+HGVvMS5PoNRTWpYfG485KDN0WY/zNwgVu9HzsjVmS8RZrurM2X7UTRFkDor7bwoWd0Gnkyrkr6W1aCshdVmCJOGdr+2x/6THBz7VoBuzAcht+lw5Jk9T7Ua4TbCssfnrkUFJaRBadPaQD/spunrsqBP1AsetbCcqa6h5M4Te7NHJZu2IEib/3Twi2r1rG93lz335ykuSj8zOTNLpqrxrJOttHOmcGUmVl7tuNvpZYTUWDkjByFnRVP7fioKp898ZAXeSZyw7keD9n6nzf75/ggvLfsrUYyCXKmfvQBT1JtkJUIwmdvJH1rN3mVHGo/3ysprPJ/wbbuU4J7MA873kS8gvF2Fl/Zqm9DzT7SadJ57vEpHNGM/T96O148YorFXpfBXFlhnDL/xQi3/xtg6NMAGtwWowCdikeG6SNKNj0RYiC0MDkRXEFmILiRUkNtu5GZJ0R2KdSovsMRn5Wbb5VvHflf/7WAti7brndbpXUNVLmJmeYm3of+Qjf/XlL8/Mbl3P4ADPHGsgVOUL3YWZt05XOtfNTfXwlE7LJ8RIJD8efRYn365j8XGZMup9G4pOlDHXJK2hUCLT3ibV3Cn4K5bPfKHGe/6oyfyq56hZZplKVXp0LOGJ9SMgxmu9xwcS5cFkCdCjnD3+/dngF/4mlI9ZhSM/Ku2YQFo2ayhav9a5KGXQFyn9jLWtlSnLWsfu1qX0QSJQJJFl65TmF364zXJb8pHPN6CSpMVVZUpM2Vx4uM4gp8uNAT8tf7DpsbbCeUvSZsdVjJJH6olT8r/HV8Zx5nYrlkVi2T7jc9Uu74mXvaj2hVZ7MPLfjHha/+RN/4Rmcte9W6d7j2ydGzI31aUaRvh+Vt9RZufRHsmyhVeu+hu/l7OR5TS8egFwF7ZgUrgnoeXIGY8//Xyd84tZEVUZ1IVrAkVgObILGY69hRxl8BzImUQR5PsHFUAvDWTPL4CN0P/fhPNRF2WdNMn6CkZLZ9eNe8tYenzOeKl+3JY68q1RLqWfMnkSSbbOad797T327owgMmB0GlVmTJ4xePq+dQmqJGNzO8bmxv0sSdk5SX83yZncfbaMufP303uS/k5iBJEWDLRgLZKcbgkudBSHT8eP/MJ777r32uvfPHJMvfGDfPFFDaSUHDk24ORCi2suDpAyRGjliumtKKL4kfO53jZ0VuJ63b0hi48ElyX3RBqkKCVzhEYFhqPnPP79+yb5+qMVCMse97j+LtjbH2NvOcbaGVDL7D3+M8Qom48z9t8R288D9mIn5PwIl1ZRQzYfMHVQStJFltk7GzshpCtlTd8ra3OMSpPprorU9C2vefGAX/7JFr/4vgmOnQsgwFGCIaVd8nqU4oqU6FyXu2E82copcbtDOHIR6fTZ0qSrDFKlbGf5eJj0AtdG8DFLwgAALl9JREFU0NeCWGiuv2yRieo0zc3bMNasO47rAC6a78DzVHT7w4KGuodrLk5Q0pVgpqVkaclk+vui+IIFgZWdlPXyZL1VaNLMZQbsIrAUZT0uNMo3nLjg8R9+b4KP31EjEmlHsNutaZTFpcwDy3WFVJRqO7CjQ+wpgZiCzUeYPcd1SYQX76xzXbJf2TCBk4E5fTHC5NnRLc3sdj8rthrJf56l0NMsnxBZMJl54DZ3UKxwuxi79xzIjU0tRKvQxlLxNO/6tj7awC/+7gQnL4Qu6CzfjE2RmR17yKbaxqQMLF2prxuW7wCdb8GYXgx56j5Fc/kcUDoe2gpi4/Q+ynLdxfAdr97L5dd9e2RMwn/95b8B4Jrt1BuVn3ntzVdc6Q2P3SbFaaQ0CK0K0I6wNXn0W36egRmeB9wpWxdMvhG4S0Gm0CjPcHLR4+f+ywSf/EqNSKZbsImNa03AsXc2oWqcvdfbgmVbcz3gKR30cT1e/I4tkDyK+xdm9zGWzl+PgLoM7iIodRgb3VuncFhEbimOgNyQVr7I/LxQYnCEIknA9zTf84Y+noKf/51JTi4GG6Bmo5v7DAYnU0wKas+6YF+nq09mF2ap+3IsU/bLy4fJ4CSLiAWHT+xgaC+/c8e2nT8D3XWfYl1eec/OKp3zt7f3XSwP1mqRXljtEcU613g5YPOmhExSrC9nHQFsqZiqrNXLFmBZjoiS762ERijNuRXFL/zuBJ+8o0aUl+M9H8CdZvbFBp436zX3eIlsdnDG2TsrsKJ8IkYi0b/NyX/hW5HUyV6PjlQoAEw+MsFakXrDIg/C8olYI1pdjgSfhUaX2GyblFSLG+umZXna8s5v6/N//Ks1ts7E6WSoTH9vdE/dlvQqtKn+jlN9HlmIjSC2In0sNHpsXTpep2yd3bPvlSWQKkHMztlVEmH1Qqty8MMfu6MtRGPdsdzwWhTCcvp85yc/+LldN51b8K7/oTf3uHyngRR0WQo9Z2rIBVNZnownfKQwUNLeQpj8fSlNKfkzytxSGRJf8EefrfPxL6XMLV4I3C6pk2csxXiXzvq69nE5McreYj2LPw80BfL/ae+74+wornS/qupw852s0QSNZpRRFiABJieb4DU8Y7CNvbvPj7DG4Lg4rNdrzNtnA2tjG2e/xQn7veUHGC9gMAZsg2RElgCBUUQ5TtCkGzpUvT+6q7u6b89oJCQL2Fe/38zt2+n27fvV6e9859SpGhozIVArDmXS+tCqh7w8BG281ETceod/XNHBIajHv/1Xwqn8EO/34cxPLBTQwPG+c8tYt1nDzT8teEEelhQV4fBcd6bcLe9pyuF1QtffGhaT84vzS5UlRlGoCMUBjQoYVGBhB8cV5+moq8++3FcdusbihcT7mpgZ1DHtPOzaS91zTpolzlqUB0MeI2UDLvelGRJa6nBUDY9FHUVNYlTc4rMa5UUqJTzg3JRxQCN45Mk07nwkgyr1o5Jxvu3XwZbgjsiCSLbeamAnKS0WMes91nKtrEUOCt8RJxJJ/DyusJAI8FUtPJARI+/jVlwtA0d96ZAGVlxq5q5g/joGwSkMV+Cyc8o468QyiOsP70+03PH3PIxa+S+OYs0tHi5XOEGFE1SF92f5lt31vy6jAsUUB7MZVqxqRBXzRV2GuH///nMS7+2YbOqs00+E7VTuXJNeO9Mqj2S5bz2IUi5N5dlh5M5bViOZtXnhPHj1ngRRadCz5B7nJhrwwIoUPntbAX/ZbHglp0gc3Oo6r8hjZBgajYI6KeckSeeOG2KVncQBrQZ6EsO9Y4H7gDt4ilUY6BEIyjnAt97cu4Qg2zCgLyTg5jzBiktFBYqiwv3JdQjxzsv9iQQBz5LOm2bj1k8O4XoGPLgi4xtr6QkKRVXx30fwIetNkGCUkOv/UcV1URUUBj8NFyL4GEKAqi0wYudGe2YsuTObSY95+8bM7SzUt4ne3Wtua5o0o49Rb7prLSh/5v/5E6dGc7TDvzBxSk2e8jRvqW/Hw/GUOJ5DyTxw37c8jc9/1we3QZFMTWRwx883QTSoQ5HEvUXkMagCfczhakDo9MQkQtU5QqyTTBTciRZb7qcMlIgqKvLRr2YdqkG5KBfnCv+W06IE9celLi4jnb719uYC8t9bBHOm2rj52iFceErJI89csdo89iq5uvoeUYsurTpXSkZ70UsBiwtUODDqEpRcTwO3HALLFlg4f1bfMy+8clv31LYx7cS4/nBDy1y49gBo5TGAV2EaFkyzCo05oESRp4IbKX/WuHxYy7uJT1NkHgohfgIVcb1KSRpw34o0/ul7Bbyy0fALZMqKTKpSQiPgDqgJkrm3mgYb1cCVHOQIMhX+TQB1XhgJaJWbByCfSBNjrAtuHQnyTlR5sUZK9KUFwRROroDdyxpUNHHJ0/2SE0RJs5VptfJDifAkVA+Pwpvg1XIxr9vGVz82BCGA30pLLpNmuLwZ8uIYIt1VUN9ES85Pam+CkF/Ke3pZ1KNMBBREuEhn0lg4bwZaGovj3uJxAV6sa60O9Q/8AzG679KdF7INhRGYqQpAXcAFbFuDy6XHLVUW9WJVHZwrEmGoe5NgWYLb8ygefDKNL3yngFc3++BWFRMQhAOHQ6cSBIH1DuqbSCBHAK0EeBCVCgHEeHmtxU7oA7WNYHz6kfC7Ru6cULFOghWSgqg7qElZKscmUPXy0BiFsqEEvJeYRQQUyZEGedagABHc6xDyAi0X87tt3HzdELgAHnoyjWAkcGIvrg0IhfUiYjogpErj5bwQm4O4ApxqGDbS0DIEZx/TMQpC/qGzfXL1kAFuVft4Oj/j2c7pzlD/lieyDzztYH9JBxcaZndUsWxOFYamw3IABB53+F2ikUse6K1U4dkq56YM4JTi4adSuP7bBfzl9QRw1ziUCjUhUOaTj6okNEktiQMYsWFT6ivC9UkEvRbjE3c0a6kJgdo9VIczKNApnUvlOO6rD6GFloGfcF0Iaj8gJCiIPyV3wMcFDcZlenPQ+9zcx14IEBdzp9r4t48PQQiCR1am4EIog5eVVyK/gAS2wskjvUKEKQGuhQyrYNmiEczusOFyht5RHc+92oj3Xnj60MJ53c/u6R+oDV9OFODZfAsAs3fT5tIlD606809f+s4aXfAcXNtGfXEQP/nCLpy2wIHtav7P4ucwB+BQwA0JbjegJxELzrzk+T88Z+LT3yxg7RYV3GNw74CueJq35v9R+NQECXo3EkbkICxkhFgnkL9RMFwtWB8uh8dG81MmgnAhLXlA74T8mUP6EfhwyuBjGchR95MW3R8OEybIRaXDKNAVmilzykFAlNorkICXOJS9yQf5MV02vvmpQVzrAH96LgWX+3MVSksdjNiX6xhAuP/d/DoTQchS4VzcwdL5I7j984Ooy6XhWBSjlWFsHFhmZ7JDl9QXi72mmRn3/o47gJCQFJav3ooSFu3IFE/eNLtjMtqLBJlcBlv7iugd1H3PXo1vymPjnDsObi9S6YFbgDOCR54xcd2/FbFus+FnBtZa6QjYZYFyv6dq8Cy1yrnjgxpqx1hGwa/y7RorHLfm8ful7JN4gPIT19AXgrgZD/aNvKpAVnRz1YpHHc2Y0xkBtJQE45VrlWBQ4Hiq62nwxzmFsIGZU2x89x8HcdbSChhXkrPUhCyo70OOHbkbwTAqD5pNRY7WuhQGBpqwdVcLBkeOwdIlyzadeNyMHa69Dtm0cegA9z5Pw/pVf97SnrevvPy82VgwhaO7iaOQIWCEwbJN2I4O12UB2FUHI7TcSr6JD3RCBJghwDWCx55N4ZPfKGLdNgPCiAM7HsSh4Y3wgctUC06ivFpiTB0VnxjQifNsZZsK4OB3kF2AxLrCRLmJCnpRg+2aDiES3geRTRWggYQYRgAj6c6+ls7V/UX0T+aMB51AUVbCaGcIcljAzE4b3/r0IM5YWgF1OWD7YIYC+ADkHDWPHvkrEQYwE2AZ2K6JoVED2/fm8MJrOfRWT8CO3ekrn3vqpS2MMRyoHTCr4JRF7SiXS0il0rumTDaX57WXT3lw5SCKeYLGfAFDI14CZziczM9Ok8pEYMVlgEcBtymwtV/DylUGbvhRHuu2HAjctdFKAigRSxHSEhpq8apzqTqbEblQ4eE1zmQM+GHnrwX+YW0BeKMOpeTh4XTrClVBaNllflwwAl4FOaQzqTilgoD7BcCJCMd6SofTi6BSfyym/9HcHx3PBYgjMLvLxm2fHsKXfyTw9GoTW/s0LwuRIFRX1AJDKgfzjRahxKt4oFHsGWjE06+W0bvfxgub6jFj4czls+cu3VUqVUBY+oC3cEI1DtLpDNavXb6hWNRuQ24a+gddLJmag3BbMDCUR9U24HAW9PYQAX6gR4I84NweuNft1HDj9/L4+C1FrN0aB3eMa8u/wKyG1luVBAOHEiGI4/VMIrxZ2aZadkrCgj4qoONWvTYSFLXAY876gKhFVg9K1sJJjK6EAyECWqKCWz5N1VITCPNUeBDtjA6MiBfYj3BzJV9FqLkrfj654ATCAmZNsfGdzw7iS9cOYUa77SWHS0sOlbrIPwXw/mCJgibQlhUwnCxWv9aCXMrBeWd1IJXVblvx9PIN2eyBwQ1MMC8MAAbdKaA0/yxNlX+zbEHloqK+E1VLh+UwmJxCU5KxAgcM0oLyQBokRIClBDbs1HDjDwq455E0Ki71I5QKuANQK7w7UFNo0DuDAQyQoFasNFS+reR4q6BOoCcqbw63qUAlyn8VzDIdNap8HbDFJUPfSkcFb7nJM4WqHh5a+qjiIiIWGkFU05MwZU6Lqov7BX3kQGYoTib8cZ6+xeb+JJnUT5/msl4gd0EcgUkNLj50fhmmDnzle3ls3Kl7RT6lKQ+4ttK7/c1SDUsxIK1z7N5HsGTeIpxx0tzfZBtanwVGJnxrJ1yl5vi5U2Hy8pZ3n/WOT5y5rHj//BkCDYVRpEwLOvPyR6JDoUPLLQM5jHAwQ2DjDh03/KCAex5NowLqDViIgztiyf3lCOhD6x1ELKlCPwKQR0FMpSeJGD1BFOhxkNaAWaU0se0RSfFA2I5FtlXnMilHJQAzFHAjfB/uG5abQMSqh52gxrmM57QIcgArTxF1OFnAzd0Kgck5LjmrhC9fM4SedhuwlWgmVyy4vGv+BdsCKHFvtPy+IYEd/RrW7ai/P9tw5if69mlbCJl1+AEOAJ2dHbAGV26dP3/hmu6pBTTV9aE+P4JcpgKdOV7+gn/zpEwoeTejLqjJsXmvhi//II+7H8mgAgZoYyVMqaCPKymhUymDOXHHMlJyLeZsRqmIAuaY4yhBGrfsY6skYyP6QFiPqyVjra8BeyREH4I57nQiCbhIckDjgI8qKnGQB04nVJD7+zkEaQhcenYZN1wzhK4W2xupoAxzq1VQAMcVGK5w7BwFNg5wGIVWLFi0aM0Djzy9tall0sFAduIURbZccTLS+a6bH/rzqz2L21+5DNU9GOzT0TOZoWqbXsKoND1yUAPlsAC88FIKP7gni7sezcAKKIfyhwSKEge3DxaGUBZUHcbAxquZghC1uSUq6lQnMtYZAlyr646EQ5kA6sh7EbPGRIloBsZPGaAsS0vE9vdGm4XUJEjIkiAnMSsuaQwIQJQIJ+A7mNzb5hfoFAKg3CsbQSmH63AYTOCys8sAB75/dxar1qZQlT6CTKtVLInuVjG9fRD9QwLTO+tx3eX1d3Z0L7m5NLL1oO/lQRbSAzKFHnz99vsGn908/yOGqa24/sdNuPymSfjzmjQcJwXb1oNKWHIGtAoEfvbbLC66vgF3PpoNR+LUpLzGKQoLHcoYNWGx13GHndVIe1F6olKKCHZV6y0PRC3gCcgBQH/wPSJSNk/ISgYkSkOUv4jKooJd/kX4eYIujvhyjLbIpwASSlEoKbaqE8r9NA7X8QZNXHZWCfd9vR9/d8EossQNJ7yEN9I+Q4E8BU6eW8YvP9eH71zTj1yarTj1lLaP1LM7BufP6Tro+3jQFhwArr/iYjz53JOlvfxaa/ve+9CSGsWmrQ3oaCghnxuFoduglMMwbJQFx8/vz+Kff1zA/mHdnxlWUg2ZVyL1z9rkqSA13keaHAnvZWnG1BLFYh9wfGVsXaLTmYDPJMDHQT9xFCOwvtEzheQ7iHQiBviIcE7CabUjYA7pixpIErJAYKCH+1adqCBXKIu/zOHNKEEI99d7tSTUZWkzuR/XJsKrDyMEAaMcTTkXX/voIBjl+MV9eYxaDEh51YtzmkBzmmN2cx5795pYeozAiadcam3fRkqdU87HobRDAjgAdHUuAOf8mSsu3nvitg1PpeuyDkYrNrIZCsY4DM3Gpr0C963I4Ws/LWL/iO5FJwMgq8COvyZTk7j1VkEdsd4R4IpaQKtgrHEkVZOesP+BrDUBDm64A0JQQnE0lVOo60PAq2H7+Pawk0Qst8S0BL6vjUfGc8rtRCgAV8d5SqeWQvhqiJen4mcd+lu9mRqErz4RP2ORg3OB+oyL/3nlEFKawP3LgQ19OsA4GGXImQL7BxlWrWtE18zjy7M75z1DyEETjTcO8PZJOVRKo1/8wMWniicf3/YpXn41ZeoOUoaNbLqC59cLfOX2Bjz+chZVV/d0n2AKaRVdKthJzJkkkf1lKqwcPBzmmqgS4DhD0BTQRyx3kiWH2gEUboLa8x0pTh4kXdUAPjoDcvAkCKy2UCy3BKU6UFlmDfr7kjC66cWVRNSKy+0RgHt8XQabPC2E+iyf+pfE/fx5D/qyjAjnDMWUwL9ePYpzT7Jww+0CT681UDEyqDoEO/uqmDmzp9LSeca3KpXMP2cy5iHfw0PvGgBSmSzft3P5DT1d9be0tTVa2XQFxfwInlvn4nM/bsTvn29CVeQBLQ2wFEB1qBNABVWoknJOIsD3mnQ95WskjxtItN6qUoIxQJm4bky+PYF2KICPMpOoWhJvajBNVVEicmGonHjnCXl0SOQUaw45UFly9BhNUSkPotsQKCpqiJ8EYXxvwASD62pwXR2WY6JspUBEGmcvEbj56n6cMLsX+0tV9JeAhuY2K5VruuXu+x+/IZMxx80WPFA7ZAse3F5RsZjRdlNj4z6rv3f9jbfeRel/PtWOF1/Pg+U0b5JSIWJRKxGVKIKFBNrib6qZ0k9a7AhViVpvIIlTxzoEVDCT6Pskvq1e7zhAPig+nkBLajcrllm15sF7r4dEnEqiLEsKQxClLUCwY7gcpyoIph6RIJeZowSe1Q+yYYPrIggGvSjWH37ncTlFmVPQMrB4mo1brxnG3StsPLZ6Cm9qnXTj9Cktt27ds996w/h8oycAgM0bfoHmenPuQ3/e/eL/uOFFBpFFLuXBpeICwy5B1ZUgrwnNhcuBGVUyB/3VYa63F9gJqAqNLkuwR2YrpursDULZLtfJVxK8ZzJoJNfLZUqCiae8wJKcgMpbDief8sP91CtnzPxjqb9Nfj5Rrk2eR06hwpRluT5cJ/xjlIm/qIiU1AvLdKjH8Mj2oMQeUY9T50SSwbpwvfo+njXq/V6xCBWUJwo8tcV2NC/Fw9ZAKJAxLVSdETy74zx3b2nmQpONvnLV+y95w9h8wxYcACqYhUxDbn0613HNVRfX/eBPy5+lGvUya/pLBFaZweIEomboEgASjG+KdTuVI6jDz2rreQfOJKBQElGTg4Jg3/Bz4nw7atFj1EcN10dpeXju2L0Zz4IkRuiVDUnBH9U6h+89S+u9V3LA/S8StfxEeWIo5SeIup8SvvclvHC9dw4hRECJvHtPgitUUzYCbi+fn76c6LgaRkppDI2kwDmg6QJtnefwU4+ddc32obb1RaP/cEDzjXFw2WZPX4ZXXjGs88846fZsSvvM9CmNaKsXmN7G0FTH4QgXssRYNKc7tNJRSJCaNepr4Kom0ZExHEHJOuPURd1ZBXfkA2PLyaA9EEOPbqupf6IsxLXu+PaERf+cRDkvCYM8ymfGCwhFKA2S+Hbt53gnU3OPENHgo9dDoZZrFoBfSsTC3gGG9VtzeH1nCoJMgiDmZ1o7T7u9q5FZM2eegMPRDgvAAWDevBnYvHW3e/XfXbDx7y87fXjpgmaceRzwtav3YGrTPsCxQeBPuOo/zg8oQfi7qI5lNJgTjsRJCsXLcyC2LpJjkuBARveNzbcTv+Skr3CQxE9lackbUYu0GNPDGEAOdg9kPhIDtuqIxr+AekwslJ/8c0Uv3Xc6AyeTe2MGDN3GroFR/NPtwO+ecrCttw75lrOHu2a+Z2N5ZJfbMnnawd3AcdphAzgA5PNppJl1/wlLj//YRRee0j+92wIj+8FtB4CXU5VnAnkmkJIgh3J34/wc4WM8nhEYdRRjMwNEplRRFEjEAB1/NCR0isgPSGp3rdkv+EoTRLmIH6dsSrDygeYtlQyQGisdnFDELHUsOhoepFKIuDWPfuPwkhJopTpDA+BTIALXZbBtDZajwXU1CMALArolDHMdc+af3N8zY/HHtu6s3M+08YegHWw7LBxctqaGOgBA/8DAHe3dJ2rrd/XdfM9Dw83bezk0jaFeF0gzr1Itdbz6dI4Q8CogyehaGJKX9y1IpII6rCy8mfEQPYBEehJHZaKSooL7ICzxeJmH4x84xnqFh6vRTPlhAQNWVZXgGAIhuD9ZK0Jk+50oUFiCgA8CTi1VFggRDQwp3Fpy9ChtixZYVaOotqPBsnVwTuDoXi2dtoYSbrzCxZSe4/YtmHfS5xzHumNq1+Q3jMF4O6wAl62hvh5rtwz9dOacC+n5pf6vPfr8M80jowRNaY60LmC7AqVhDU6FA7YFENsry6uU31V//5o/EgM0qfn9a9/HLHcEwGOAmyi9LGrtSWR/RE8zzoqElhC1rD2JiK6Phe8JYpKedAh93hKRC4kC1kgBbhJqfX4nIUHvCcsyBw9dErvWoLiqC0o4DF0AhKJaZShXGIZHU7AdBtNwoDMXI9UcbHbGviWL3vkFoPxTXW86DMirbUcE4AAwq6uA8t7/c3vLcXn3/BOmfOOlV3Y1pJmB+hzBUInAZmV0tw0hRSrY0UexeZcJh+l+cpmvtggS5nQjAaj+jVWxR8kYjmT8+LFe4/CS5xDhycakJ4epiQNsVAELEn9VaV+tpQ4WSGyyWX8/uR5C6TQS7FIVIeHzM1BS4BVN1agDplvYvJtgZ58GAgsZzUXvQAaDozoaChYGRmxAn9q/5vX2z66+9cmfffUzFxyBu+i1IwZwAEi3fBD3/Pr2X5y2uM1qzdMfbt7cl5/SaoIyB60tIzhuTi/S6Sq27wO+cnsRT7+WB6cspCskzD1hkfC6qB1woCoocTUFosaxDLdJX6B2e3RlbWcZb59DAX5UbKtdKQFHAok1tKreLVPyU9TADVFSZ0ks0JNAb4ifp0LU9XIcp8+rZW0V6Rh4efcCjNl4bh3BDf9ehx17ctBSGpZM19FRICCEobVRQ8fUhZg544J9H5pt/GrmtMPnUCa1IwpwAKhWDc6RuXP2dNOZPy378zrztVRzQxW6BuTSDSjkRjCrfQj6Vfvx3i+lsL/ij1D1Lbc3xZGIZQvGHMUY95YtzqNruLby49ZwcFK7LjF4eSRM+BhNdfCipMWnEaqPTkJqoyYPJl28UDTxqNUP81QIGSMRS0m1pZRjqCTwxR/V4/HVzWBGHg0ZihUjDnRmo5B2cd7JPZWeVOeV7Z3TX2ea5hzpe3bEAf7BD3wYq566y53TPeOex1943l29oemX257ellrUXUR3m0BbM8WkRhs9k0ehaXICcm/qES96KaBR1cEc5wGeAO6IdY/REUABehKg5XlEzGLHuXcNrzk89y6iEAq/6pZiMVVqIjEd0o6QN9dmESr7xDh31CUIPzAMzyOc+Vp4WYJUcMiRP7YDbNiZAjVTaC5QTKsHpk7WMKOnHx0d7RWQ3IfWrJvym03b73U/dtWlh+dGjdMOq0w4Vlt8wvvwo/ufcs8+d8+v+0am/S0nC0vbdqcxPKrDsjVwzlC1CYJKsZRCI0CK+pO2Sus9Bk9Wf46a1xiViXQCf0UN4OMnJWOdf2JIrjnneCQ7pneLMTbXyoKqnu4TM0UGDKrTJgVkgvNEoR2/Eap2zrlfQ5xTOC7zBz5InVuAUoqsBuRSLlrrGU5eOK90xnFdf9u4ePDX55z+zF8F3MBfCeAA8IkrrsWNt84UX/28e9c7FnddMb2nfZBSAVO3YRgWfvVoBsOlNMAM6JQiQwVSVART/8nwexKmItRDros7o+q6BGe1lreTkIOqJ45/8DhtrGJA8XhNfN1YTYz5ptbaR2qkKOuicSMS0hpEO82YcSdlwLHLKVyXwXE12K4O29GRy+j48DmjIJaFsuVRmUL95MFhu+uKntP0u45l7WLRoo9P4Nsennbg0kCHsT3+yN04dvGHMGdafk0m17izva14KiNbMi9v6sdt907CnsE6mLqOvCaQYQKGYr2TdGs5oDg+S3GwTGv3kclU4XYSkR3DsZskMn8mVfYLl0nie++VJLxXj6n9zMSa5El/CO9HWCzUWwjquUD5HlCPVT9fJCzHplYMkqnCcwJKeiz3Zn+QI+s1RtBYsPDS6w4K2Uk445Tj+mZ1T/pkqWr86pLzCU4+8/K/JuT+mi5StAmxD4D+kd899tBN//Ldh5tXrzORSaeR1QVM5vFuAi8xX075zEX0hw0GPvhZeFosU5DRMMMwyNQjSnZhDMRxgLNIB/H3pUTpIB5YmFynvDI/s1DuJ48Ljwk7oBzFF4xUogJUvV4/czCyTQKRhtvVWZsZldtjmYdEgMqp1+VUM0xONyMzDMNsQkZlpiCCCLFKUbifFssoh8Y4TMNByhzGvlED++kH901q/5vPc27/ZEZH8ajg7Ig7mWM1QpqxcdvQT2bNvpBc9K7C1+pSy5uHhgbQO2gga/j1S4RX3q7qEDjwR41IBVE+ekny4zQpsBN/AkRUEdURVazgQX2n2OtBNTHRA6XjFz1UraFCZAQT4cgcKBmF6mgfmcQSn9w3/B6hZUcAcIBzBsvR4LgUEF5HShkWNu5kyGUn4/hl79in1537BaDyE0IaDuWOHJZ21AAOANM6CxgcLN/+0ctOdc5caHxz5TO/q7/jfgtZnQeabqlKULYpLO4NnJCBHxngoVBSWBQeDSDqYCqPdxqhEzFV5Q1/q6P2UAxaIA36uogg6hA1lY+PzfxJpOxemAMOeNWsHAJYtoZyRQucWydF8eLWRiw99l0DPHXs9a6t/VwzDm9uycG2owpwACgW0xCifMfxxy3utyobprlI3/LwY0/pQhAUshosDuzcYqG/qkHXmFeU0Z8oh9KEkLPfVMDWRDADvhpVV1TJ8K3W1EBP8HQLtkkFJB4E8r54DdAjHN6jH3KqGUo4DLMKUBvrthRgOyZy6SocB8g2nmoXm9zPtnUt3tg/kv5tW7M+sYs/gu2oAxwACEnzjRvW3n/q6ZcbNl1TGiq731+16mXS2kjovOkcLS37cdeKHMpOFoIBNiFI+Rw8KJUA5VGtOkQxeqI6nnHwB9dzWL7UxHeVgZg32lSrDRBvLnuphcMruEkACBbSEhHTDMPrkGWvJRf3QK4xF2BlPPhcAavWGJjXxTB/psZnz50jaHrGtWd2HP8z5my12prrDsddfMPtTQFwAJg2fRZ+v2K1lS003tHa0f6nU033fSYG/3Vm53pYxMJvnyWgjsCo6wcoNAojHLIZZETE+Wmt4kLGViswcW17wm2c0x0asMWBtyops4ILcEK8ypk+jZZTCVI1NipnXw0Sy8O7oTEXhmFDcALbNmBbJlZvYFizycb86ZOhZRr+ZerU+ruQymwT9nMWTR+ewQqHo71pAA4A5568CADK9977n+ue2rropotO2mwI1/7iyt8L1pplKGQ4RsUwdgxw7C/VARrxclQU7h3Pe45YaalkEATqCaBY8BjYlAzTINdKjIfKCTuKB9kOxkGQGYNCFp0gHpB5aAKIrz6N9TFBMMcPDhm6jeFyCXv60qiU65FNWzhzkYtUZqqbKnT8r9POnX/TY4+87p597sIj8OXfWHtTAVy2iy9+D155/l537rGXfnnXnn3amVtXfKY1t9pszJdw2rH7cefjI/jJg3mYWc2bxoeEwObw3yskVFKTcOBxKAeGUcoQPSqGg+WEFNWadoS5O4m9iQz2UK4t4NYyDE/CpCppzLlUTqBo3TTUu11OwbknAaYMF3f8MYv/eKgd71ycw/xZBSxeeEz13f/tlG/kcy1fJuxeXP3fLz6yX/4Q25sS4AAw99iLsWvvECYVxRcvf++ZdOPinhNXPfMwZbp94ki5pKUNoCHl6bQOByyHwIUfyODhrLhqoEYdMU8piVgsIFQWiBrmlkoaUYA9nqWu4fMTR72YwBNgzKF5UJ428aglCdNe4TuOlIb8W46uZ5QHsQfb8ULwVVvDaDYFwEFrc9ExMnUrFxx/AW/r6Fo5NMy+KPh+EFr3V0bHxNubFuAAMLmlIBe/sOkv/4H3nDc9v3Zry4/T+eKlC6aO0IJehuUy7N7v6eWWQ+AKgozhAR8IuTejXr1PjXqBGX+CCAC+5RfeRKchyAH4UT8V2NGaJEIZdpeATBJ5ibSkJ4P/EUmniHoXQeqwD1CqbBdSpybBRGhcdnIRMmtGqVevBp6GrWsu0qbrgdv2Cmfu7U+hVBFweDtOmJ/mDc1z7h4cbbrqj8+sG77mmPlHGx4Tam9qgKutZ8778djKDcNmJnXduaft3DB90ovz0trIRbt2vYpHX+YY6k8jk+WoCIGRkgaThT++xgg0H9waI2CMhKAQ3pTRwgUg/JkKoDz+/ZIKEtyq1R/T2CYNVE5o8fIPY56u5pWEoXW/5onc5nJPqXY58Zb9C2WEgDG5HwWjHJx5V8moQMqsYrhsweEZFNIudg9U8MQqDdN75mKSlvvNosUz15xUbPk2UB0m5K0BbuAtBHAAOOvE6QDQu3vnji+dvnRW1/7edUA1fRHNPY+Hn7BwzlLAzO3HN+9qQp3JvKJA1Kuxr2mAzkgAcOaHzIUQsF0P5DIlQFpX5oe/STDQIAGpIkot4nscUCXxjycJPSbOuZMir8wv9kOo7C0EjgPYLoHtkGAKSsYENIV2UULAGIXLPYqSMiv43v06DJLD2YtLeGGLCa1+GabNnvubxYtnf3L/4MiWQl370YbAQbe3FMBla21rh1Xp25LPzb7eoNYdl7IZn2iu33pqd/0rKDu7QMChUQZdEzANAkMn0DWAMeKBXPOB7nuaVctFpeqiagk4rgcIjXmBE6qY1ohVTqAWESusJj3Fu0Ysf3vcRmLHKRcgq1FpGofmg9xxKKo2RaVKUKl6PYIxQOd+7UFwcA5v6j8C6BqDw72Z1V7cpKE12wC9sAwnnNj9xLbe4rcXL+h+aXjU3tLZ+dYDN/AWBTgAGKlGANgghNgwfy7W9PUunzyne9qPXnj1hemthdeZTm2YGkE2RWHqXiSPEkDXKHSNwNAZDB/8jkOxe4Bj7xCBzgBTEwEAmZ8Tk1TkPl4nULbQ+fOyCNWeEan3raS0BooP4o5k2AXUThTIfVRAZwKm4cDQXWiMo2Ib2DuQhuNQGDqFYQBcJ4HPwDmBZQOOS6AxF9UqweBIAy5713Fu66TFG+oa+NWLjj15F4B15HBEoI5ie8sCXDb/B1gn+N51nDvv7BzW2r934xl3333fnwrlwZ3ZQqoKEIq+QQe6BmgagWFQmAZFNkVQyAp0tVbR0NiP7z+QBR810ZLzavJp1EMjUXRzSmQKktfUabJVnhJPwVX7hwS2LBfvBV2i1tz7TEXjl+F3TsBJmKLgWXAXKdNBQ6GCijuKx17KYcsWDVNaKHIZhozQgk5q6J7F37ffm5s1m82j0Dh1tK3n9KET66uXZPLTdlDGtrzVgS3bWx7gshHaAiH4lnlzJ2/rGxieq1FxgqGJ/10Z2uAsf25Nw9rt/fnJDQxpUz6aCTIpgfqCi6Y6C1Pah/CHNQ5WrmlGziYwNAHTVx0oBTS/aCYQDvfywuHwir1L3SUANVFSa0O6wv2USJk7AupnRibo9mrEVX6uw/3gDREBv9Y0gZTpIJMqYfVrFTy2uog6JlBMO2DUe2pRAjgOkMsAbS0lCK04rGeP61+ydLqWSYsr8/XdTy1oKQy6HFxjbw9wA28jgAOAPxMA375958CM7raHB4eGZ+7a+ED1Pe/54j+amWc+XB3ebufT5dnbdrspIqowdYGMaUNjNmZ0WpjRCfzxRYGKQwOJjVECXaMwDI9uuFzAcXgA1KCqbIRmePvKjiG5tjzG9atIUxI+IQLdOuggYZ67dwyB4wIuJ6AuAFDomqeKMMphai4Ys7F5O8GW7QbSHQKjFY606SKbpmhuTaN3kFTMTP61rp75+rLTl9zRueSHX1+/crGZzhYqw8Nl3tB4dHK2j2R7WwFcto6ONsBjAKU1azdB17VbNI3dsuDY6SyXz36/cZs9k1R3nkzcPcw0B5HPWhgcLmNvnw6H+1ZSJvIzgpRBkEkxUEpRqjioWt5Ud0QA1Ld2zAeiBLYqT8rIqu1bYMflwSBiwbwB1jzg+lL18CxzcF4HKDkMoxXvs4QATN2fX4cIUMahay6a6iowjRGUqg0A1ZHJZtA1tcM96fi2FYOj+rpyuXQNobZrmmnsfvk6kSv2lI7273Uk29sS4GqbN6sHCOmtMzQ0eNWxS8z64aH+r7760h8Mp7zJbW3jS17bZhy7Zr0Na7CMYWqgOeMBV9OATJqhuV6Drrl4eaODoVERRke5n/OhEV//9q038cBt6IDOwum2y1WOatWFEJ6qYwBgjEYKYjLiO446h8Z8vTstwGHh9R0UmqYB9Qxpk8D1665TUoKpjeDUJSYuOacZ67c0Pt/U6Lwwe1YX+5t3n2O1NDf+U7VqDRSLbz8rPV572wM83gqFIgAMAPgoAAjrlwDrObVFiHMvPE+7ZNnxlVnccbFj0zrk0g6EsKEzF21NDnK5YfzuBQq7ZKKYoRguA9mUlxaQMsJhbQSeFdcZkDEF0qaAxgQGGMGuXhdDIw4YA1IGBaUEOpfRR0ljCHSNI59xkDFdDJd1FHMW0pkB3PV4FhliwGA6GgoMhKbANA11LbOQKnC0FnNrzz6l8e7pM3O/Z4w/cd2V78Z11xztu3702n85gMcbMT4EAE9s393/xDUfwPJSpTptz979/If/vpPP6m7sntLR8nm7vBvHzHCxeefLGB6tosHU0d0m8NoeBzt7dUzVgDrfWlMqa/95Fjqb4miqs9BcX8LWXgt/fMnErj0GWgpAYwEwjVApcfyAk655ykhT3Qi291Xx6vo6zJoikC9UMXlyEcX0DHR0EBwzrxPc7r2JkZ2v55rfSfVMkTKkNl52AR7WjJajfWvfFO2/PMBl62htAICH5ftdu/bCMMy63Xt2r9y+xcDkNsfeNtrxqasuN89pLujoaLHx9OpH8a3/y2GkUmhq0FFf0LB/qIo9vWUYOkEuxZBJ2ZjUMIihygBWr89i9hQbu/oYNu9Ng4AhmwLSpoCpE4yUdVQdDaZJkDIJWpoq+N1LLZg9/yx0t+toaSzh4zOrj/zxSfObHe3Qu7rnorml9QnLsvZni0emeOVbvf1/gI/RJk9uAYD9AO4DgCee24GmSXhtzkw+qS5HeSFTQV/vChBWhmEYyGR0pEzXnjd/yQ3pbYMXUjj2tA4dXW0WMqkRPPuiCzNbxBmLXSxZNIonVmWR0xm6JjH0tAO5rKYPleseeOjRZ28o5jO6pgmYJjBi12H2nLmY1Gggn3Xp1Ly1Z/FC8johR7am39ulvX0EzzdBe3z5k6CETFqzdmcR3BLTOw1MabXAUcYDTzHoPIezj3Mg9CE8uDID4jJ0tTD0tHPkchpxWecggdgzd/6yo/1V3jbt/wFLz7K6oHvlLgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzowNToxNiswMDowMOrPPFcAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MDU6MTYrMDA6MDCbkoTrAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 23883295
{'hecke_orbit_code': 4504355591946609, 'n': 1, 'trace_an': 20}
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id: 23883296
{'hecke_orbit_code': 4504355591946609, 'n': 2, 'trace_an': 8}
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id: 23883297
{'hecke_orbit_code': 4504355591946609, 'n': 3, 'trace_an': 0}
-
id: 23883298
{'hecke_orbit_code': 4504355591946609, 'n': 4, 'trace_an': 0}
-
id: 23883299
{'hecke_orbit_code': 4504355591946609, 'n': 5, 'trace_an': 12}
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id: 23883300
{'hecke_orbit_code': 4504355591946609, 'n': 6, 'trace_an': 0}
-
id: 23883301
{'hecke_orbit_code': 4504355591946609, 'n': 7, 'trace_an': -4}
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id: 23883302
{'hecke_orbit_code': 4504355591946609, 'n': 8, 'trace_an': -36}
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id: 23883303
{'hecke_orbit_code': 4504355591946609, 'n': 9, 'trace_an': 0}
-
id: 23883304
{'hecke_orbit_code': 4504355591946609, 'n': 10, 'trace_an': 16}
-
id: 23883305
{'hecke_orbit_code': 4504355591946609, 'n': 11, 'trace_an': 12}
-
id: 23883306
{'hecke_orbit_code': 4504355591946609, 'n': 12, 'trace_an': 0}
-
id: 23883307
{'hecke_orbit_code': 4504355591946609, 'n': 13, 'trace_an': -48}
-
id: 23883308
{'hecke_orbit_code': 4504355591946609, 'n': 14, 'trace_an': -88}
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id: 23883309
{'hecke_orbit_code': 4504355591946609, 'n': 15, 'trace_an': 0}
-
id: 23883310
{'hecke_orbit_code': 4504355591946609, 'n': 16, 'trace_an': -36}
-
id: 23883311
{'hecke_orbit_code': 4504355591946609, 'n': 17, 'trace_an': 28}
-
id: 23883312
{'hecke_orbit_code': 4504355591946609, 'n': 18, 'trace_an': 0}
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id: 23883313
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id: 23883520
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id: 23883521
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id: 23883522
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id: 23883523
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id: 23883524
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id: 23883525
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id: 23883526
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id: 23883527
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id: 23883528
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id: 23883529
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id: 23883530
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id: 23883531
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id: 23883532
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id: 23883533
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id: 23883534
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id: 23883535
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id: 23883536
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id: 23883537
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id: 23883538
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id: 23883539
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id: 23883540
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id: 23883541
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id: 23883542
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id: 23883543
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id: 23883544
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id: 23883545
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id: 23883546
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id: 23883547
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id: 23883548
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id: 23883549
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id: 23883550
{'hecke_orbit_code': 4504355591946609, 'n': 983, 'trace_an': 0}
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id: 23883551
{'hecke_orbit_code': 4504355591946609, 'n': 991, 'trace_an': -320}
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id: 23883552
{'hecke_orbit_code': 4504355591946609, 'n': 997, 'trace_an': 16}