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mf_newforms • Show schema
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{'Nk2': 12096, 'analytic_conductor': 64.54082716700546, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [84, 3, [43, 29, 73], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 37], 'dim': 16, 'field_disc': 190000736290438772077084448661260314934832016981771733269930907370837397793625273011226316519483907723321237308427902177296, 'field_disc_factorization': [[2, 4], [3, 8], [47, 2], [419396934421, 2], [2158288626567196533234016359410721365721012253, 2]], 'field_poly': [79978257504936591964642108900330900905737463001503418421877, 257934680050232001165280545701170549413209663811915341424, -31534379943215460069637664338468383174583531082850128, -372150170517680072482976606267991582419751904690704, 215459975341822734071937522290785139860745873306, 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-166151332768, 293364854, 2156, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149584511060, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2546601548437010357573124096, 'hecke_ring_index_factorization': [[2, 42], [3, 15], [7, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '84.12.i.b', 'level': 84, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '84.12.i.b', 'prim_orbit_index': 3, 'qexp_display': 'q+(-3^{5}+3^{5}\\beta _{1})q^{3}+(-269\\beta _{1}+\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '11.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '84.12.i', 'trace_display': [0, -1944, -2156, 50512], 'trace_hash': 1891333824445092699, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.946', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '835.620', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1011.761', 'prec': 27}, {'__RealLiteral__': 0, 'data': '94629.376', 'prec': 30}], 'trace_zratio': 0, 'traces': [16, 0, -1944, 0, -2156, 0, 50512, 0, -472392, 0, -222796, 0, 2703176, 0, 1047816, 0, 5114600, 0, 6910556, 0, -18340668, 0, -51387712, 0, -191456372, 0, 229582512, 0, 118854616, 0, 164659160, 0, -54139428, 0, 55239344, 0, 75658364, 0, -328435884, 0, -1815568608, 0, 10754408, 0, -127309644, 0, -1034359464, 0, 4123496848, 0, 1242847800, 0, -665159988, 0, -1264543896, 0, -3358530216, 0, 1040514580, 0, -14391208024, 0, 1474099236, 0, -20938150200, 0, -33307097284, 0, 24974428032, 0, 65848902896, 0, 17709749204, 0, -46523898396, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 12096, 'analytic_conductor': 64.54082716700546, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [84, 3, [43, 29, 73], [3, 3, 2]], 'conrey_index': 25, 'cusp_dim': 340, 'dim': 30, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549957140564, 'hecke_orbit_dims': [14, 16], 'label': '84.12.i', 'level': 84, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 364, 'mf_new_dim': 30, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 192, 'trace_bound': 1, 'trace_display': [0, -243, 5062, 85513], 'traces': [30, 0, -243, 0, 5062, 0, 85513, 0, -885735, 0, -168346, 0, 4238158, 0, 4555764, 0, 6593480, 0, -15965379, 0, -14946444, 0, 11152856, 0, -253592513, 0, 28697814, 0, 220952344, 0, 353259565, 0, -67370778, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35888568
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149584511060, 'source_is_minimal': True, 'source_label': '84.12.i.b.37.1', 'source_level': 84, 'target_conrey_index': 37, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149584511060, 'target_is_minimal': True, 'target_label': '84.12.i.b.37.1', 'target_level': 84, 'twist_class_label': '84.12.i.b.25.1', 'twist_class_level': 84, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
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id: 35888569
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149584511060, 'source_is_minimal': True, 'source_label': '84.12.i.b.37.1', 'source_level': 84, 'target_conrey_index': 37, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511486278205692, 'target_is_minimal': False, 'target_label': '252.12.k.d.37.8', 'target_level': 252, 'twist_class_label': '84.12.i.b.25.1', 'twist_class_level': 84, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
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id: 35888570
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149584511060, 'source_is_minimal': True, 'source_label': '84.12.i.b.37.1', 'source_level': 84, 'target_conrey_index': 25, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149584511060, 'target_is_minimal': True, 'target_label': '84.12.i.b.25.1', 'target_level': 84, 'twist_class_label': '84.12.i.b.25.1', 'twist_class_level': 84, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 12}
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id: 35888571
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149584511060, 'source_is_minimal': True, 'source_label': '84.12.i.b.37.1', 'source_level': 84, 'target_conrey_index': 109, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511486278205692, 'target_is_minimal': False, 'target_label': '252.12.k.d.109.8', 'target_level': 252, 'twist_class_label': '84.12.i.b.25.1', 'twist_class_level': 84, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 12}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 262625
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504149584511060, 'p': 2}
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id: 262626
{'charpoly_factorization': [[[59049, 243, 1], 8]], 'hecke_orbit_code': 4504149584511060, 'p': 3}
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id: 262627
{'charpoly_factorization': [[[16586478270185069476812134710408613682934471343062500000000, -88581481262643399178234348039729541635252174275000000000, 528855090013629013329175315080267795190038063750000000, 297644612220303545694505585480585161894414000000000, 185151194432972125401812101148834171572443750000, 32405579673033358170818842103631559035000000, 10110528570158028274600417241655475875000, 23824409756250646417660453305225000, 442168683628049225875919318675625, -6522739557363176031449698500, 6077376222652038296171950, -36135501613992262840, 59972577625827719, -166151332768, 293364854, 2156, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 5}
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id: 262628
{'charpoly_factorization': [[[233683216210633558353880137011125430143959282107856711392134007594290612801, -5969578198959059089391577343727843227492155178842922373724994924423984, -46978892519721667549169405164899793146246421258563120273301973448, 1201384952657615540512390441808435280470303035822519515986648, 69157369220269847443690403334954474825540195926833020142, -948159998117117358316439288561043110674756195872024, -43623659126958357888164877823384322884534239464, 645677025097080957572613263622349193318024, 8812318419562364286423155341246326039, 326540379521423868979965170896568, -11157456718580152767134495336, -122644000563616747093032, 4524021951195991342, 39745685096936, -786017352, -50512, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 7}
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id: 262629
{'charpoly_factorization': [[[113396606909853251970891402674986651993595963966225710826632572710767692967823772846153984, -1923874904238238586669638330162539171485218573536783827969765385393991666850444966400, 41237905359651081981652638482033223644524039264110135890409410075086357530751104, 87208897339320915320990510371640028113967392605182662768251761276532260864, 1037806795004405455589084138152604387087667356361557924575378801743408, 1464696876722350305459722360358905223498856091577774236553633600, 13566664534323252831640211454999131572733862698628234045384, 20425943168209492715692023856588187276466636822747240, 103190575483346587138427647111591959213585430977, 93056781178711389030897123512895766578516, 404522620539708010723197168680428834, 286080433913874754334465514280, 1093772628904081789027667, 335100284799754240, 1215430595858, 222796, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 11}
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id: 262630
{'charpoly_factorization': [[[10167600507154132851677983660686705024372186316800, 2515628490349246332341596101168184497888000, -36539504406591352021675381855347566544, -15125018317511764061293947996608, 30867126891742808081491937, 9797327173900188700, -9885557561546, -1351588, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 13}
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id: 262631
{'charpoly_factorization': [[[3937493907695308980383550303302494190199911039427551157915182654989549901997668981150152941688345419841536, 7541199311250232856906794727231683213367993338157967617111944079551169741159387034115376185123799040, 17849789453442607283596208175823163630965595540287464101762276539939597454272557786411281940480, -4867972980141003832414271787814619691120831415904755052873930032269194128273549232701440, 4254233584429490376193590130213960031469042932199119090875148245676248812314689536, -324973072789065770344533581693215325381181938581259421184897570899744522240, 345248516882004423050087439566795355244575963065359163747011066331136, -22967615746333081744167030961339623551364592370341921397145600, 18218120805981220900350842836424285754187310452069957632, -678751153384161701464189387019535525205729443840, 571359380203231357872820982486016172883968, -23078687298506269733146541836820480, 12143123488773263865963507968, -320086793950297821440, 145405856269568, -5114600, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 17}
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id: 262632
{'charpoly_factorization': [[[1123691752726319827150346944777510111743289226725001203166643931796800342651183685744770384295783530372620353536, 908182506216421364966247300330576132052162354286706855768217564064263900624110921820352499323336472395776, 518413184611034237731745154644584788689452302382412805514885514244607645964965447861222001927061504, 167675790406545287833572576117953067071586502869289772124589296135303774414383409475376611328, 42315751345004788293231711238839254929542482757192734003904832875528730498710737662208, 6343532509595650053749829561343363603686289047687982463081046830111131693576320, 837838968033376656570627905514563725001177095808784914652644064545082928, 51407725520857277948416633920284832944520203834900386959007795336, 8267601846100649755835447573877857132794905155294911946145, 267100401065873551135395567867103749770803450970380, 66347475360758700185541627691171600414696138, -799099158071198526117654355715698488, 314068050291828730668633302339, -2581717403467217812864, 678373754866794, -6910556, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 19}
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id: 262633
{'charpoly_factorization': [[[554224399111566718768169771786787391425567251901959824163101488801779747256341004699079431921267342324474429558220652544, 82162482741674898077639773833431582123882036294603520032329697510009101394588807523466760115051498301038872494080, 11662360676282532919381587841324764741375534341368886930228957937473715443844802272036649547040803814113280, 491059889108756236778921912928953055974349766802474605921453896974508168692169684481453903891660800, 34486428043159289411977397774064291273245264714537950403854708479385327670234227474679463936, 945780758437183013646866662128339133509534245820379891363740412510682065350753779712, 62427209887054284934841719255218989716914765665278788693033601931524756733952, 1334264914943394418150120863340788329256516585190250483509087994118144, 66846211481162215132923981108592744059352220676198272949092352, 1128846486986657818597369975069340500193189626087636992, 49647316694088595418422699200418920401554309120, 700735357285785959571987666357593344000, 22978342369636165733012007814400, 229118259817887116863744, 6666026666325056, 51387712, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 23}
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id: 262634
{'charpoly_factorization': [[[-52145963657393832537486433010027610878199725604919564175662848, 92835834089981594425851652766735023233179412760637464320, -2808804202391356532333583668560770213439791299808, -19754280343637046064110982474222345175472, 760276165197836318695553759990733, 2221470724633969896377372, -51378044248844398, -59427308, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 29}
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id: 262635
{'charpoly_factorization': [[[1504584227689433001163620140436365288152577471318110653712800579113741275559923594885676862818083868292421227423447959034784976169, 101416987843602294463232861342012173702457741258577253641662194014120800129511482464384842346248604875888355275736180823904, 5104570494612001541052818238634294584133319744200802317454280296336090361557731648109500071475829829569180138872656, 113450503665940865638394594064556559882827732953065758147979366899573451110268542575360618622154407021715184, 2014001498124899134070711910174056138422695861237657574113894212693248065001365229367615397990026190, 19233974971294644703059184892875320798524169970671508727503695370601919609663413045585571600, 183189830603777278942454110560286900861311043349352792498280525592820879559638638128, 896514239709408135160997944729394594079365457300206035642900721070995732248, 8538965254072020446842313647191783945978635909214216700320049148631, 26688653861085714131891723868015480409008280919480836383744, 299142367813877986437943808348018086970930893154640, 245453768868508160585507892654867287311368, 6871914475773685892696352709806534, -2180269157659669615135584, 120948747053994744, -164659160, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 31}
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id: 262636
{'charpoly_factorization': [[[203160039537989073860284511087980967980749470062249879014960185065828592642324896553416793588692783880718186238562854885965725040640000, 281247648459484705144850579792721633247669362821974498765114667317554793515979634400633899627385639220633836085825974599680000, 17343573457320722285930594969572375440600282261911192572766073636551515067106207258565800801052757636639965444351180800, 5650793852493104856020771813889290373146643789314739979001053206069758597686171671251453520646422908837580800, 985155611622988263852706812031224280637599335103906790954456693063073084584084218325836839303590456576, 185257862117295257159646345673934739532288830140884122567608107293605092813596085565309622144, 29399336661933838313335108933426989421901121971282168163125397461546155276064340662896, -3472378394794779749065536116960016153241771231767123114712399285352301942920, 623518974179140087197905092606807514910242919762057681194486958290145, -49702740449526861719568621140448062821250109951985659829796, 7614476341801591619400768265430533176168137342789482, -964464893606729661479400476584171702125864, 66811342509615661147532393761045955, -6675460906307668126428640, 317539801427310666, -75658364, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 37}
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id: 262637
{'charpoly_factorization': [[[-4642043896932278467174268156055707076900599332421003802987315884064768, 43534132212125189072355461011471411815204269241863014245359616, 526914632432200673416565664925445188231360116968272896, 1339802827363058440608223003124071486613615232, 274589178457906499427461917262475792, -2608461250272555402857456160, -2126262369348540072, 907784304, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 41}
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id: 262638
{'charpoly_factorization': [[[45798084221694931816217345671594873012111047867477117723745908060370192, 31418168552656971186300243289380255323491737538241435622551072, -1006070052825562501271417212323326119855003638228239048, -625181382185027274510564587575969951210244392, 3537392298320339403747251019024762241, 559939576069366239403832420, -3524898654205841186, -5377204, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 43}
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id: 262639
{'charpoly_factorization': [[[9403302588075626515294573991288326647923945186273324126581860926152528946037984323398655388601932134482581755061582530688126250826415538176, 205402461810445307340443532334927499777659653848539953683549545405767154702834668856417108364127628906672733584100684026665116762112, 3232255872721464545902535869233379375400220782497912047348511580395778760749288269991654919245789836838822722884037647532032, 25981463190352608407666129784838540372056188758086880149950716729120981200504352947660596949175502513855020674121728, 160464842749554314910832185154193903922685993987313501136630712749616922478019863317537361256368483932921856, 472504682631158751430988260763241127946235832935407763697459088491351828912966905998701668358299648, 1209051566282740503582976897342593712161123508931365244141116791973257593484730246269026304, -629462815197332288203846369202532095914765315786546748032855117268337584000403456, 6140513885271242177452441719402548241701570461999644334447656754935279360, -3066884772279920406891156642576310477423853580282869733903078912, 10305978658305456945705440913500085162309445930955731968, -4962973306652983981576599325732161312354834048, 12232079759798646597539876882790132192, -3406255922309791871952343872, 4910740742278397664, 1034359464, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 47}
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id: 262640
{'charpoly_factorization': [[[420319631914904829609272409346547851126714991093766432711491080194239138548497143004853650289543957302563264662462996102106350180436609666603201593344, -700804674306262725877455699088320931990822721493410435121448596084516184681651937823099919393860934831654583719742751926561312664619807014912, 2190531090345143773331057693129813193407561953596505118628577964157430126943346695021677404793518043045990572993232262465394859573248, 1372821604243004468179886850554830500175593814503173147690178643310893303822681049624065307784090649555221784800814617212928, 2464213280869281484830431871666943369572152395601207107111059457293810688714860768302945628922244707302369001549056, 572962454192092570106054966633098217205251941934331870821779659291847598845227763461858420141664856625408, 710812348014734511896310760608635741302566045493387277074021377063129798917627784171278463192240, 84662781977584641272477179873123179392054924709392753977981469624440960198328683961280, 151843131406483429459099002237281727112436331772139490420181150500868089188985, 7101910841016643918038937197762837706070813728216220232176234952732, 15425532486056487881015296220031411775890026578032584602110, 597685325631259297240369553187185956350779508720, 1127797789568835896122447681919328991599, 21698313096856318711456069296, 40070196965083418118, 665159988, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 53}
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id: 262641
{'charpoly_factorization': [[[166208959186297203803811682762631774485769631151940623044943830362908772361281280674607497509625104357182967852761231589988632659551453357861577424896, -1419890900978688363420383009580066860327300365348612753567990866813696294506128541806930508052392892955691156241609933485739983830281979822080, 10713597862825460241335468863304792232133195794709311230292842820060703602245275847838939684274824263047733397290652601179327841959936, -13538130801172200586641505888221968327359865928199834283632361446883462041146157092189952651275008854354522765273073414645760, 18854905802574471073056165541802780692439101065140151332761358114923480219494318839864151810354140738326871647941888, -4855785839585256718721625725087520753049617044744509942380284791083967264856023772739183889850990896746240, 8049902368035896443749721530294181732173929342414132338747447057509302297275599489132053456928432, -1917661861015830125014127879863651724999522310038032661659156898859652752109135634133120, 2426396741474488442539988371942768077653260427039721781248503334063824514738417, -55632964184449066756000388067537416412542680622460308691632569369380, 164914552047991307157408656128703441838583505642067240833266, -14131172322781930325931625168658357994044628504400, 7193422632011516172211812937762439216747, -240917168800599077262367703440, 93740801099549624642, -1040514580, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 59}
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id: 262642
{'charpoly_factorization': [[[20992107817919049535439053429059067214645700729825414346122891586826876294873439152508086500116477959263827068944236747931275788737318015462248824242176, 123341950777542390207688597010672368293608857263748494503350006230689917978019849929765992888377127897741674685321181015035012831980540294725632, 596269816635532029659891262761750366917371478336519392060900323869722754231987148610407218486918579986630756020820385580711540630028288, 703783521013809505721298263345811174339653923580570206349281068196480847249033997681711522939154613120851393190079587954786304, 647760596114864564336406344535414979469693803212778015803009210294262157766857094519284678636514236767214128068894720, 285474463102223730232496190168456861545815220529696391512481025613891364717467350695869826664557815252000768, 124908164731950904668195320680425168129752320812631673063933158304881656858360096359919604406075392, 36659867389587392874550312198135264666225603186859914001377094594176939613127564999043072, 12838397717491177954823866872331832441016579850833517881937085199786790443608832, 3021787883457753596918705245783058193831897244571536079780611773301248, 737968230181052692689676151482152850251177754111528565431296, 103467298484289819868035430549054308614841681717888, 16456899867484265991836223847021349722656, 1411274500429942893272286027840, 235921143979365546384, 14391208024, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 61}
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id: 262643
{'charpoly_factorization': [[[39104084594617816187962575431565554783746442852853412273752527688670686722326592827018790296264502425333203467833090264470136923695728176036633381845382648064, -19142921916916005652438108668956944736760231142810883596794198055818568440131738114024067533548956205637177665755235091043129354617930821303946375168, 16191091933658327522245511728795709610072708414657292790751468526016069952554272266180365849524044908979927710832800811342141133070217472128, -13930345839613958412728788621239224378825391310114469931394881035316233916757702249955093422464805479264412064362913029431856640, 1345936932004545169904016352086991773336420180978559446711051628925663840955842254551920135463253155863502913006517492656, 414564388825820572955746707209037947859065162096287467772223242792368457875902107884876841207605972146879458752, 214874286945092217038980421609851720849863665633449913541539194941571208873585147752598947127476675336, 48185882722663725633063007052157587917655927055390736388863532702860073476807936083264999472, 9006220531597075980326113738843001081508190694224748058328443706526822613784164513, 1027246958041796159256101738360088473876107478960391854322404779187710228, 98254359926405646798551495031786473328848033771152837900451170, 6392023197854720929545334217194431598403943301304256, 410434813124133432850051999537760950590067, 19663905248240474347366556573968, 1063717453043536542642, 33307097284, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 67}
-
id: 262644
{'charpoly_factorization': [[[-1434976175831000957132983064660065401917013788842305237857807584304729037710893824, 48069568059243289616495227846823564655465909029444515755307223997758976, 47348467006470415422057280137459087026480169359213655181036032, -4227961531897376466846210598298959214650425543124608, -168345341103282123659346475623491076447840, 28647675859641144515560796004256, -512642497991475344512, -32924451448, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 71}
-
id: 262645
{'charpoly_factorization': [[[51241645686513488511859105167315535895621487566538909325579162060345317771541541718175926489196838196805185479379650410061845669341025187215752457496344750240000, 101626792644147594520556388851139951957751703677589523731434163602255404358915848133172963459350998430665032679149636252472777547377447071269881630784000, 208266547568757960217833820066288794650858738978990824184618625521917860566343286254243255618513205869024732802504711284496013338384967559312000, -10372484490386903896062893168973947665388016383160428864548478587474529162682290915832410672911331305502543546875079803272073142850560, 3715575447366415884410927404643756955382351496753861689729368712287729377009705357154354168896221937108055483990602434032304, -109924849648290175105408743320267353364240975167021294143801564276708324847246780804157710977714875249350195977408, 41155165746353447512061317902122067853360667701473627522737064679789583105834673752731907912165313007144, -1382161666334284553504266017112336791062044102194604007665852300948750101435063927870221223464, 217884784628595092689474812238453642371950988522395789470938806455477097008754170977, -6890523723604056187055751664866307094094231396357019849597359423965755772, 802046413357640647883317215068118361678636905708023689706283826, -23294176410196085314497463027748497834176386376290376, 1582650880647174365994450051012492282423043, -25389081252091464218916454858208, 1541627095863045110274, -17709749204, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 73}
-
id: 262646
{'charpoly_factorization': [[[349010878459353700832406897587042211340700550224219480977783328700207062446124185094615834629575625518053634497965490854527855234876366199725840247778709251477404809, -53878357059224220352957873246716331890100044024732343629052861769274638683195337610973482206617347115581136870705324928416063797100998315890678489489584776, 17245022622840456896070352063803998122458053178438001612359056709558772507576249003598090367057905900585322297530066974996673309308537288972108224, 456128462389344615900342906111126922066463283158830579199651888495718179554139259989612176133415413954320178345106851866269478299946656, 266046459702866274967015179567450356330135794670288132845571912799784523946951996635444744041312173969675019218177391372579038, -2385633714215804624189767450034738717784680133224481183494223756477221936497733753810579187000929033869784732939688, 1231835008453743814291225600697128914521455216041824353227386548486545675999616574965487321194074477797872, 3968928111600330903151436533816406536295458367021211162274380571507060381908917137385714866240, 3123521451565771828097281060506221012769191602787279448636215954827976651352569626023, 13635935504778350010722183429742348997746118970814139331053114904473287624, 5190309167444402999580512184996408553947735291011199181330347408, 49271755424695558693039806734367046519906123792505136, 5322102974289916194129957310052562991906806, 35778415661662588284541724153808, 3114336882896632922376, 26626784032, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 79}
-
id: 262647
{'charpoly_factorization': [[[152223390216992323926529233510263812511246298275405868189280901401350501589112141136, -70986141572923346176876939981493541804107530059751682331523269706767112032, 2966252435205867061361298307308158021540052329441093764856934984, 235678578403640047021389733568509022735760062794162152, -5337389436306712146087519240978093575571663, -329855832279424098596755536329636, -529402535645090933314, 105153477524, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 83}
-
id: 262648
{'charpoly_factorization': [[[1068403834167879879649464078074807640044437658468755860239509894415156271030667400055122433086217915618460529461988385097409752470690244787275940826938782938149186174976, 51818910915031459951889966066456281925956774542858387010085662087591682620518472467244856270030279202043022547463288441563010117791674847083714130651220279296, 11076756634329903298599351818611708625677041016647803359424933933024664522786553896286385176520382710954504910790509920633821244542745267868908126208, 863841665155265013513267881615141488436129815770228192785676888521287393314182505019256463947121035156013708772455383875834959297087799296, 103595488437925403143162458454185716460717019873185837495704368625680939729705339867509928529358025431217123849680545917279666176, 6039017746900498464974592707817547305875690974422921580814302851826950405894232828308575412279318948331368430667563008, 343103924199041673875358828802206574505857123876008114853759824559918099688033544580551697417614038847012864, 11230977837086969350223440388234222433486451565331680952357724659015979051487132854978071538360320, 397814057894985883439936910531619432630023984471190246152000569368997116301088457632000, 8941045304702894503536522800176323330292895574664333751050112740229866864128, 277833235169091165687695354540494120983222769364504130715903334784, 4541872290048433526452585093158460431450701068291304448, 96673751013587158274960502872491689267056496, 552933961915534700394339037457280, 11601363391354140920568, 55951560072, 1], 1]], 'hecke_orbit_code': 4504149584511060, 'p': 89}
-
id: 262649
{'charpoly_factorization': [[[6062617860183018559944533212838429091898858689802441578767482769495123361643919098663952, -79914093255914952178919722467484973894760941937849187391981447934321967748192, -2954582909244789977696725598375749207945457596474415079732855869704, 28548503338523935057005889547699467835232352511737208760, 542598024696053318891661121808652170458988001, -2979747138549825797185602912787020, -42120869084066775651554, 78108015356, 1], 2]], 'hecke_orbit_code': 4504149584511060, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '84.12.i.b', 'level': 84, 'portrait': 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yuu3eBRUhXOnK/x7EGf/cdTXj2XkKkW772nwQfvtpTUOMfP1TlzWXNpJmN6LuH8rOXEnOXWPbP8ox9aYv3YCKcuTnJuusrMoiJLLdvXKzqdGgdPKZ49OIPvzV67buTSvUnU3NzrNh76iR//vvh3f+9TbzQk/rMef+EZ/ML0Etbyf81eOfWm55/5glxqmrsffHJWl6sRP/7eLmPlMV49UeXqgkBKQbeXMb8UM7uUcWVRcHoepiaW+KUfnue2nWUuXB3j8kyFy3Oaq/OW6bmUi7MZM62U+liPN+1tc8c14MsSgQq4uhByZU4zvSDoRJCmhtA3VMKM0ZEUA5ybTmm2YdMqj0opwloBwqfdNWxcHTG/pME6KbLUhigFi2WhEbNuyqPVVQhlESaiFnpsXNNjqSM4d1mTGc14TVINBYEHaSroRJLpBcmVecvVxZQg6IGXcufuNndfJ5islZhfrHHhasDlObg6l3J1IeXSApyat9yye45//MOLrKnXOD89xvRciasLPrNLkm7PoKRhZjHj1dMZ1bEmP/auhECUOXR+dSo9/fSHv/v9ZsfOLU9Lmfy9S9MV1q+pvdEw+baPv7AM/u9+50957wd+yLeLn/KefP7c337yuafevnv99GZPprLbLXH2isUL29y6K8bXPlopXMQvQAgEFi0MvoRL8yX2nZTs3bbANRt6lEPwtMT3FL6vqZQkZU/SaXscOxvyjf0+52YimmnCsQsRq8YXeN+bFtm7vcUt1zQ4O5cy1xGUgx6nL1sazQp7tkqWehlHziqqZc2hc7BjraUXZ/QyH60TRqtw9EKA0hmeTNEedCPJbdd06HYke7dnNLsZ5y5X2bJaUSnHLEWWqXqHxXaTP34UXj6T8eqZHpvWznP9riajYzHvubPF995n2ba6SpbUOXNphFMXPS5MGy7OJFycyTg1Izi/lHDDzln+8Q+3WF2vc2F6jKvzZWaXfBaagkbb0GynXJ3PuDCTcaWV8vbbm1y/qcyxs6M8e7AlT11qbx7zD2xZXLK3W729tHn96CNHX/48/+9vfOaNhszrPv5CZlEeeOBTvOVNQn3y861/cGU++BsV81Lt/MWM0i3zrB4bJ4p8Li8EHD7rw5tbrJ9qYQz42kMrjZQKAUghkCrF14YLiyP83d/0ueu6Bb7vvjm2rO0xNlJjol5idsFn9bjHhoZivqFZbBkaCyGPXLF0eimHT/g8f8gAgsCzXJzxEDLA9spsX2tZO9Xh6mLEzHyVN+2xlEuLtNpjzDUz4rjE+Kih3fXYONljvh0yOQZRpJiqS5Ksy9WFEudmeswsVrhxZ8qVhTZffc5n3XiNrWtg42qNWu+zfgp8zyAEbFrlgtlWN6DdGeXMBY+FpmJhCeYbhoVGxlwjY7oB872Mjeva/M/3z3HXNZrQG+f0pRpziyFzS5r5pmCpYVhqJzRaGYsty/l5SebFXLcpZWY+4MVjGWemLZVqgzSSfOKPnwhu2HPm55/81h+lj54M/slXvvqZ7H3v+dgbDZ3XPP5CSZTDxw5jRbk05p/c+MwLhz66MD/7f548fZkkzXjxeIiutPnbH5lnolLj0FnLq2cX+NF3JYyE45y/WmehGbLY9Fhsahab0GgZllopi62UhablakNwuW1BtPngPQ3ec5th65qQOC6z2AhZajstv9gWtDqCXmSJU0uWgZKWwINSYKnXLFNjCdrrcepKzIGTASat8K7bY7S3xItHRti8Br66L+WePQEzjS6hVqRZwtgopImH9lLm58u86aYmX32mypY18MKJCI8y77zNkIouB05lnLkYoqXPqlHNaEVQCgS+L1ACUuOqt70YWh3LUtvQ6hiWOob5tqWbZWxa3+E9dzT44N0xmCrzSyPMLJSYb3gsNDWLDVhqZTTaKUutjKW2Zb4Fp+cVIyML/MR75njl6CoOnC0xVm/ytz8cUdIT7D8GzQ6EtbWsWbvq/xhftedP3n33mvPzS1F369a9bzSU+o+/MACfnT7KxKo1/nPPH/qx+ZlXf7239KI4cUHKQIUcPyM4fzXmzCxkusvbbllg58Yuzx+yfPj+HvffEDAzP87cUoXFZsBSy2expVlqCRotS6OdsdRKabQNi23LTEtwpWEYrXd4+y0t7rwmZdMqRa3k0WyFBJ4EFHEqMUZgLHR6gDCMVnucuGQxNubhFypEnRLb1/nctbdDYpZ4fH+dG3d4nJhu01isccfeDo+8GLBqzHLknOV//p4mR84GrBqTfGO/4q5rFQudJqcvjHHjzpjHD3RJozJ37vbZtqFHN23z9RcVZIJTFzW1skYL6HQlxgoyY0lSQBq0b2i0LZVqwoY1EXdf2+HtN6eMV0KuLowwv1RisenOzWJT0GhDo5XSaKc02hmNjmWhLbnSksw2Yt5x8xU+9OZFnjlYY9t6wdtuUig7zpnLNc5f0Rw9HyFUjyvtmvngO6+zt++95m8YdePvZ8ml+KYbrnmjIQX8BZEo1iay2+2+73Of//L2iZGFX/38A8+qtVMJb7/FI44laVoGPAQJZ2dLfPrhEkuRoddLOXphjlp5npu2z+HpFK2q+J7B93wCXxP6ijDUlENFtZxSK2eMVw1rRwSz7SoPPFnli49FXL+jy+qxjHanx7vviNi82pBmEi0tcQpPHAo5PxOyZtRw8FQIZoxr1ituutEQhC2eOtxhdm6E6zaXScUiV2Y8bt0BZ6cTJipOlgTTmk4v4OqCxtMem9c2OHxmjJuuDThzucn5y3Xee0fGTGOefYfrHDpb4ZZdJX7g/h7INq+cMUyNtbk6m/D4Kx69RKElaGPZvCbm7XfEtNqKtaOGm3ZAHFdYaJQ5eCVgqe3R7CgabUmzDc1ORrOd0epkNDuGpY5loSu51BA0ej3uumaWv/MDi9y5W/Pdd0OrW2JmfoQzVyqcm/Y4dTHj6DlL1wruuWlazl64yuOd9P9dP3m6fMfdHzw5t5h9ZWJUmTcaW284wK1dwpjGD18+//y/mr50YuzlV85wZb7OIy8lzLQW+IE3L7JlrabV9unFBmNTyj4sdCRzvZDnTqzhF3434HveNM/3v3mBLetipudrBH6JUuBTDjwqJU2rJKl2PUYqmk4vo93NWBUZupGl1QtYmA25eMESp4ZL0ylBYAGBryxaCjpdhcAj7Whu2CzYttaycV2HKGvxtecVR0+O8o6bA266dpE/+JrFF2U2r+vw6jOKdXXFRK1DqErEicdMCyqhZv0qwctHY27aWeK+G+f4xANdfK/K2263eEGHb+6L+epzFQ6fKbF1bZnNazImR2O2TCTs2ZyhlEErC1jKQcBkPSBOPFodn4MnPNo9TaeraPck7S60e5Z2x333Vjej3bU0u5alLsx2FFcXLeVag5999wzffVfMDVurXJqp0GyXWGqFzC8FXF3wuDpvODud0jYxH33HLO+7zefwyRovn3rBW7i67l912bew94Y7/tax871P7NoY/o8L8Om5DjML/LUnn338l19+/qGxazc0OXJyDJOmrKp6PPh0HWFbfNetbUZrPvNNTT02WGvwpCHUlrKWvHpygpdOlDlxaYbvubvN3bt71Ks1FhplKs2QWten3dG08ovd7Wk6kaYXWXqxIU4sSWJJM3fEqY81IJXA04LQF9SrgtEqrJ4wrF/VYWK0wUMvwhMveUgzwjtu9rjhmhZPHU6IezXuukHQ6HaZma9w507DRL1DSQf0UsVsM0EZwQ07NeVqxP5jIffeNMId17fYf0yBHeHm3T4/8d4FHnk55hvPVzhyPmTjpGL1WInRapmRKpQC8LRFSTAWjpwRZJkgSQVxClGC+45RRjcy9CJDp2foRIZ2F5oRzLYlMy2ITI+33rjA++5u8ANvM6RpjStzFVqdkFbHZ6nl58UswWLTktiY73vHAu+/QzIzP4pUHrVQ8s0XL+H5Xx67ZlP7/95945u1tUu/K8QbZ9x6wwB+6sIinZ79id7CN3/50EtPTB04llEKPe68DqphwJXZhMpswEuHJCGayTr4WlIOFcaAFI69fG0oeYK5TonPPLqeb77U5J49S3z8rUvs2dJmvF5mfqlMqxvQ6Xo5sJU7YkGUSJJUkKaQGYu17vMpadEaQh/KJcNYNWHdVIeUNicuJfzx4yGnL1SoByVu3a25c2+TfccbPPxsjdt3hGxc0+GPHhUoEVCrJiy1I4wFJWCy1qHZ8jFpiffdM8Nnvlpm29WQ99zeIU7mefzAOEkWctvuKd5za5MdGxp8c3+HVy+UeeWMz/oxyVhNUA4EvuduQilACIuxYIwlSfObNbFEibuRezF0Y2j1BIuRYKEFQve4cdcSH3/7EvfszhivhSw1Kyy1SnmGxqPV1bQ6mnZXEqeCSknw1psld+yocuZChXNXS1yZgUNnYnZuskyVu3z1q49PHT2nfvmjH3iTtXb23wsx+T8GwH/l1/6Qe28e4+iBx37khWPtX12c2Tdx/3UzrBsdw1jJSDVj/SqNp32qlYxWxwGy3RUoBWEgsdYiJChl8LQl0JaSFiz2FPONUT77WIXnDra56/olPv62JW7c1mA8K5GmAZ1eSLvr0Y00caJIUkmaSTIjMNblz6WwBL6hHKYEfozvRVyaj3jgBcnJiz5nLo6iTMC2NT7XblHcfE0TFcxy4FSVdfUy122F1ZOLLDRr7FknSY3loecDoo6kXkl55209vvJ4wvnpKru2e1xZ6nHotMeGVaNcv2WWp15t8cwhQRT7XLNljGs2BFyzvsWpKwucvATPHy1z4nSFshYEWlIJLKEHUrqsgbXuZk0ziFOIM0E7EjR7gmYCsUkxtsctO5p8/O1N7tmTsWYsoNcbYb4R0moHtHs+na6m3VO0e4pOV9KJBFkG5ZLCVxUOn6rQ7AoWGobZ+ZRWOyVYDHjoOcWlxQW+f/yhqYMvXPnVszPj6ef/7Ct/sHVqhpvv/rG/ugD/B//817h2bDPfevH0D9S9U782KS7VT8z4fPFZzU++9xJVv8J8o8zaSYmvNbWKphu5CyaEIDOuVUwKgVIZWok8oLQEnqXsZ9RDQSvyWGyO8vknajz6So9Vox0+en+Dazb06HXbXLfFsmG1Iko8skyRGYktwC0Nns44d9VyZlqw1DV86akyl+ZGsbHHaKhYO67ZtFqzdR1ct62JkXP89lcqLCyMcPs1muu2NfjmKwKRekyNSirllE7iI60EK1Hap9ETXF0Q7LZl7r+5xdP7S6yd8Ln9ujF+/L1z/P5XWzx/rEK75zG/VGXL2hK71nS4bWeLD93b4vLCAl96KmC+E3DuiselSz6eEkgpEQiMtWQGEmPJUsPoeMLe3R2iKOGaDREfvj9iakQxVg1IkpArsyGdrk8n8uj0NN2eohMpupGk2xN0YkEvgjgxGGOZngML9KKMZjtlvpmx2IHjVwWlSouf+K6YrOPzz35n/8St16/9tbffvir5jd+88VOXzvwz1m35+b96AP/SV/6E97/3I+Kf/dtf/4hNLv3OmUvz5XolZtvahD97usK/jiN+6UeusrE0glajeDqkHDoGiRNBmkGSQqwlSgm0Fmht8HWGrw2hZykllnJsGQkzRkuCTixpxRXOXKzwzz41BiZFpCk37+2wZXVMmoKxTtODyAtDAu35HDvvc+RkSCXUVH3JRFkwOS6ZGtOsnVRsWpOxa9MSmZjn33yhxrnzdW7f6XHN5oxu2uLZAwH1ksf4iKVejSmXnBQyRtLoKRbalvlGRqNd4k3XLfHCkQ5HzyvqtZDbdtf5yffN82+/CPtPVmh3LUstzdWFGqsnykyN9tg03uPvfKRDrdzg1TNw7ILE8yxKWYQwgHX/s5CmsHl1xl17UrLEI0kDrC3Tiz2m53y6kVvRerHqy7duLOhFkm4k6MXQiy1xbEhSd2SZqxF0I0OjY5lrwtkF8IIGf/d7m+xeP8aXn7KsHotZuHq+/srxxd/5qb/eSH/i7/7dz37hCxvsBz/48f8uuPvvkgf/089/hvFaXV2Ynfng3PylT3aXToVZVuH0pYxWJ2V2UXByDu64aY5f/MF5qt4Il2dHWWqFtLqaXiSJEkmcCKJEEMWCKIEotkSxIYozosQSJ4YoMcSxzYMsS5RCnAp6CUSZIMkEvfz3mbWY/CQoAZ4EXznPRzWAkRBqJRipSEarivG6ZmoMNq6OWDO5RGIX+DdfGOHU6VFu2qrZs11z555FvnWowecfGefmLSXuu8myecMlfutLAb3WFB+639BKZ/mdL3tsmRjhvhs9brpmls883uWp/ZPcfY3PddsUN+1scPTSPL/2xTI2rrK+rtgwpZgc1UzUBaM1w2gto1ZOqJUTyqWYwEvxdIpSGVK4YMLibqokUUSJJkkVSaqIE0WU5M+xO79RLOnFsn9+e7EYnOPEEMeGODUkidP2vcTS7sFCR3B2EarlRX7x40vcvXuEc5fHuLqoabYkpy4JunGHG6/b0FuzZsMPjU/s+kKzcTl77/s+9OeOvT93Bv+Xv/VJDl0RalXj0od1evUTB4+cCzevtezcmAAlLs9qhEhIreHJFyb4Jybjl35okTWTEiktnufT6TkdHiWSIJZEnqAXCwJPEPmKOJFEcX7i08xlRdKhI4M0s2SZITM4vW3og1sIUBK0BM+DQAvCQFAOJJWyYqQsGR0RTI2lbFrdoVpZ4gtPxzx+YIyluRp7Nyo2rfHYsaFHJpZ46PkyFU8zOaqolnscOIXruN9g6USK63ck7N1mmb6SMbvo0+2VedetLZ58tcuJS4pKSRL4NfZsNfyTH5nnsUNdvvLYBPNNy6apjMWGpl5TjFQ8qmWPSskSBobANwQ6QysntaR018BaXMHKCFIjSTNBmgqS1AWNSSKJEpd5iRNBnFjiGKIkI07MgDhyYDtwuxkuzZ7gUkNSLi/xD39ogXv31Dh7eZTp+YCZRWdNPn4pYvumjKWFc2G7539ybFT81Lvf87HTxtqnpMjvxL+sAP/QmxI5v9T52Jcfu/gb26ZOhXfvGeX0JZ8kNWxcZVBSE/gCJROi2PDI8xPsWNfhb3+oQZJItDJ42ifwNFGsiDzHNoEv84vhWN0FjBAn0mUQ0kHaL80MWeayC5nNMyX5aRVCICUo6WSPrwWBLwkDSaUkqJUt9aph1VjE5GiL1C7x2Sclv//VcabCkL0bBRvXeGxea9i0ZpEvPGtZWAi5ZrVitAbVcsLVs5KZxQB/C0SJYHJEUq/DiTOWxaZhei5kx+aQt9zc4oEnQsarEPg+StbZs03wU++ZwZMzfPmpUQ5fClnVTJiqp4xUFNWSolySlAJN4EPggdbWgVyAFEMgx93YmYEsc7LPAR2SzK16SZI5UsgBnaSOtePE2QKi1BLF0E0E7Vgy25U0ooj/7QOzvP0mj7OXRzk3XeLyrGB2IeXKXELoGSpewP5jkm5yKNy8IfkPz79y6qiQwfVA8pcW4I888iVOXsl+5MTJQ/9idvpKbWZWsHfbPG+5pYSSHs0OSOVRChWlwCfJYk5clXzzqRIfvXeOjVMdAJQ0+Noj8jSRp3K54krpBcjj1OV/k1SSppBkkGUuk2CMC7iMsVg7IAwhHMCVEmgl8LQDSBhAOTRUSyn1aspkvcvE6BJPH4355MMljp2ps3nEY9tqWL/aZ/0q2LWxSSdtsu9IjZLymBxV1KtQr0aMjqT4vkYId3N1I5+FZsJSx9Jop8ws+mxcXeWOa2Z4+PkOxy7VKAcJnvIRYoRt6xQ/9LY5btk1wycfrrLvYJ35tmaqllIvp5RDSSlUBJ4g8CSeJ9BKohR5+tCh3ALWWrd65UBPM5OvbnlqMTWkmSFOLWkCceq0dpLmci+BXiLoJIKlWDLThO3rmrz9ng6oSc5cDjl9AWYXExaaKYttS7OruDBvuGbLArduERw7do7TZz89tfPaWz/+pQcf+P0PfNd7//IB3CQthFR/7ZknPvPLvdaV8XWTNR5/OeSpg00+9s4FfvCtKVFUY3q+wmg1YM24YtfmHkFlEW3bVMoRlbIkSkCpDN/ziTyPyHfpvQLgSSKJU7fsJmme087IU3/kzC0xlgG4XZEyZ27QyhVMfM8S+oZSmFINU0ZrEWsmmlxtdPj1L3k89MIYC4sVtk8KNk4J1k35rJ8SbFnbQ/tLfOZxzekLFXaukoxWJSOVDCkjLs1aAi2RAqwVxIlm01ST58lodhSLTcvVhRI714d86P4Gn/umz9mrAZ5OEMLD2ApJKrl5yyKbvr/JQ/s7/NFDY7x4tsK6UcFEJaMSZoS+k22+J/G0QKvcUSlFP9iyuJvMWFymJXOAL0CeZk7SObBDnDmvS5wKohSiVNBJoZFImokliWLSXsTxc4YjJxMeftpg4oh2z7LQhstLkk4a8QPvWOAH3wJXZ1fzrRc0nWRm3K+3f/XjH/qAujrT/N1VU38+nvI/F4BfnW3Q6Kgff/Ab3/rl86demrpt5yImq9LthXxtX5Xf/6rk1JV5PnrvHLs3NciyElmmqVXa3LpnnodekHzjBc33vbXL+Iih3Uvo9gICzydOdR4sOaCnqSLJJGkqSTJBmkqyTJAZMdDaRtBXJdYxtxSglMs6eMrge4bAzygFKdVSxES9TTfp8s0Dlj/+1gj7DtYZ9T32rLOsGZOsGvdZOylZvypm67pFXj3b5UtPTjKiNJMjglpFUCsnNDoZX302pOpbhHDA6kaa990V8eBzLgPRaBtmFjXrp6p8z91t9h1tceSETyVIUVI4kJsyvdhp/R96S4Oda2b4zGNNnjlc5/xiidU1wUhoKfuGUBt8D7QSKOluZMfkUOQVTC7VjBmscGkOdEcQkORBeZy6AL2bCjqpoJ1BL87Ioh6VUou33dbklcOSB/YpLs+m1EJFagWpTdizdYkP39vkLddrOp3VPH844IXjMbE1bN743NTidO2Xt137dpMlzd9T3nce5N9RgC8sLjE60gRhfvhbjz31z598/InxQ2d6vHrKcv+Ni3SSUWqhZGmhxGcfXcNDz7X5nnsWuGXnEsJCZjO+/FSN5w6GdLrw1ac7fPitXd51Z5PRkR5xHBAlPnHikaSaJM8KpJkizfKCTTYAuLE5c5tBskgImweVrhKqtcH3MgI/oRTEVEtdMro8sl/yqUfrHDwzgkgCNo9a1tQtE3XF5JjP6gnJ2smEjaubXJht8ZtfqZBGJdavF9SrmloFauUE4cU0uxXqVYsQAmshSSVjgSI1Ka3Ep9XJWGwqLs2W2L21yk+/f4lf/XTAudkKWiX5jaFJ05BeLFk9HnDz9iZ7t7Y5dO4Sf/ytEg+/WOdyo0QlUFR9qHgWX1s8BVq6cr4Qy9NmBrDG3XSZEWQW0szVG5JMEGeuSNTNBN0MuqklTRNMEjMednjXW5f46Nua3HdDTLsruOfGOf7syYQ40wjglp09vvvulGpQZqlZp931CEsd1m/o8PYbe6yqRzz51FNT0/P+P9+4/c70xQMX/8O1W6uUK9+50v53FODNVpckrX3g1Vdf/LcnDn+1tmdLF09WOHXR5w8fzLCZMy9NVUFLxWxnhE98vcInH0rBpBhracSK1EjA8OVnKzx+sMdtD7f5ue9ts3tji8m6olbRxLFPnHqk6QDkWQFwIzFWYq2TBLYfULoSv1IWrQxapwR+iqdimt2E2WbCv/5CyJmZUfYfqWONz3hJMDVhmRgRjNcU43WPVeOS1eMp6yY7jNcXeeglw4uH6+xdLxitSqplSa1sqJRihBcRBBqt3PtbC1km6Uaabi8hNYJW19BqWxaaHtPzNe7c1eaO3Ut85hshpQWFli4OM1aTZj5x4no8J+oht2xrc8v2Ns/fd5lzs5JPPlxnZqnMxfkAX0kqnsAvZJh0gWefyAupgmPy1ApSA4kRRBn0UoiNhSyFNEGqiLWjXfZubvNzH2px67Up9YrCZGVKVcl7b7e87cams/GmHsYEJGmNucUyjXaIBe66znD7tQGN9giHTnkcPLPEq6e+Pv4D36v+7d7rb13sdTtf+k5i8jsG8K88dpyN61erf/4bn9q+ePVoTZgr3LbbMjk6Tr0ScGXWudji1BDFltAz1AJBI1K0Y00vFcQGSiXIrDtSU2YuSnn4xRGePtyjEkT86LsbbBhP2bS2y53XtdDCtYgJ4eSKq0o6r7S1Q8yNRUiLEi5nbklBphw6I3nhqOaBfVUOna8Sp2WqWjFZsoxVLKNl6/LgNc3YiGa8Llg9lrJ2ssuayUUePxjx2w9MsaaumaxBraKoVQTVckopiHj6uKIXa7yKA5W1gjiVhFpx484uzx2oO+NTN2Op6TG3FHB1bpSffs9VLs7N89zLk3gSEAkGSFNNnHhEsaTd1YxWQ+q1Cnfs7HDf3g7f/+ZZjl4wPLgvZN/REsdPV0iFJooUnUShhEQIsSLwzGsC1pAaizUGT2SM+DEhCXfc1GbLmh7rJxI+/s6Iki+pljRxEtJs+aSZyuMcgbWOYOLEo9vzaHd9Wh2fdj/VG9LqCC7PGg6eiYnosWZqiZdf+mZNmHPbb7r9R5VNX86EvvEvDsCPHj3Irm0j/te/te/HpkaifxHNzPLM0XFOTjf58D0Ndm4cJ/Q95puKTiej3cvwfUPgW0o9QzcR/YJMYiA1bnmMjCDyPOLMo2NKtFop//wzo9g0YdVkj90be4yPpHz4LV02TsUkicj1toQh5s7bNJHSIKTg84+VePVUBaE15y6XuXS1TFhSjASCesVSCw21EKolwUhZUasqRqua8TpM1FNWjfdYN9Uks0t8/ska3XaFHesttbKiWpZUS4ZqmOJ5MQ89FxJ1JN4UyBxMSSqplBTvuq3LEy8Z2pGk3c1odjRLLc30fJlrt1T58D1N9h8qc26hipIGSHK97JFkLpvUiyXtnqbR9qmWylRKEdeu73H7rh4XZhqcvbKE9jJeOa353LfKiKJ3VcjlF9EawIC1JHHGplUpH31Ll4laxq5NllXjkKUecVwlyTSLTU2aabJcHmaZIjWKLJXEqSsq9aLcy9LVtLuKVkfQ6sBCM+PiTEymenz4/oTxsMpzhxeYWpX8i6kzT3V6YvfvnzhxIN6x47+9M+g7AvCz585z+crMzsbMhV8/deQpuW1TzMfXjfLkgRpzS202TiUkqcLzFA1f4nckvpfh64xAW8LYuMpkWgQ3ltSI/NnpwNhIIuMTG5/EwGy7xrdeNVgy/myfG9mANflRVPHyFJkQCKEQQiKVIk000mg8LakGsGXSUvEM5cBQDqAcCColSbWkqJU1I1XJaA3GR1ImRyPWTrbIWORf/2nIUwem2DYOo+WcvcuSaimlXIqplLuUSmUCJVEy1+A4OZAkHr2uoBtltCJFu2dodY1rmav4XLw6wpt2R/zsR67yrz6nOb8UIITB2gSTWZLUI04kvcij3VVUu5pK6FMuhZSDMmGQUC3F3LwjxvcSbt2R8vG3dtAqzYtABiHsclGeSzpjJEJIAk8BPr1IM7+gc9+OWgHqPPZJJUmmSFNJlCqiSNGNFO2uotmVtDqCZtvQ7KQsNFx73Ia1Ge2lMl97vIQOGjz25Asyzaq/vmlj+mS31zv4ncDmfzPAn3vy04yNmtKxE4c+ePbMSYESWNFm784eG9eM4SlFL0kZr8dI6bmRalrlEb5AqxStJX5s8fPUVJIVEX3+bKwrTBhIbc7wRpJaSWY0iQnI8rTX8KNfpRSghXCVSgVhyRJqS6gyAg8CDaFvKQWCki8plyTlUDuAVwT1qmGsljJej5gaa7N2ap7ffsDwRw+vYkNdMVE11CqKallRKUO55OYUXpk3nLoSEPrOfguF00/QizVbVhtWT/Ro9ny6PZuzuGSppamWQqrlOh9/6wynr0zzO19ah5YaiyEzGamxJKkrfnVjZ4rqhJJyT1MKPEpBRqPlYgzfy/B0hudlaOkaJaR05XyRH8664qYSOJALGiZ3WZo8rsnjm8y4WKcI6lNTZLGkq47Gkl5cNFoImh1Bo53RbCU0O66pudWDl45VePWkYL7X4dZreiDKPPv8fnFptv3BqdXbT33i03/a/dHv/28r5/83A3z7BuHPLVz9hSvTc79w8ExPNmPLscuaI+djfuSdF5ka8VholPG9Er4O8bSPkgopVF5oASldedlLDEnqUlWJcc2+RfqqSGW57EheuLFgrOgHSsOaG8greS6w0tK49i7lMgueEs5q67nqZRhIQl9SChSlUFEtSaply0glo15NGatFTIx22Lhqnn3HIz7z2FpGw4BVVUOtLBy4S5JKaKiEKdVyxL5j8MrRMtsnba57B2XzbqS4dZdlx8Yuzx+s04ks3V5Gu6tzkHuUwxKlsM733bvAK8dneO7IarAKYzJnh00taWL7fpJupCn3LKVQEfqGwPcI/IxAG7TO8LRBK4NSxm3BIp01GGERDPTcIDh3FmJTZKTMUPo1k6RG5CB3z0WhLUqcUavTkzQ75D2xCUvNlKU2zLcFV9uS+bZharTDD797kW2rLMJamk0r52en/+Fip+pLXf6nQPyGAdzaRdnrdX/pwcf+8G9dnrngrxsr8crJgNNXSjzxasyJKwt85L4l7tjVYfv6MpdnR/B0BSECjCmsqvlpFRlKSrS2pJnAyywmB3jWT2VZTF6JK4oV1lqGKu/LVtyiVF0UdNyKIRzAtWsU8PPqX+ArwkBRCgTlkqBastTKGSOVlHo1Ynyky9rJRZ471uWXPrGK8xfrbJ0w1MtQKykqJUUlhEqYUQoTfK9Ho2dRUuEpi5SDT5aZAhA+tVJCJzV0Iuft6PQyWh1Jo6QotwLCoMrm1Qn/5Mca/KM/kDx7ZBUWhbGGLDOkWZqX0hW9WNENJKVIEfqSwLdu2q02eJ7L92tlHcCVA7jKZYoQdrnzLi/t25xEbO5lyXLAO5C759RA2i+2iSGAQ7tnaLYTFpsps0twpSm5vGgJKy3edusSH7434u7dAc3WOKcuhpyclyy0zvjbd5T/7nvf/6PeD3yk+39sXl36r+7t/K8GeLfTptsx//SF5x//X149fiLctnaGG7aUuGnHGI++KHn8gMc3n1/F84er3LxriQ/f2+JtN3WplkdRapRe5LIAgZYYz8FTSYNObV+SDFgbrLEu/ZRbQIcPVgC8WBlEAW7hwK2US5fpvBXN087T4nuKMHAjGUqBpRIaqmXn1BupxozVuqydXOK5ox3+0e9PcOz8GJvGXIalWpJUytKxd8lSDjPKYUKSxfzhN6pIpfCkRYlBmtBYkeftPX7oHYt8/cWYVhzQyQHe7ipabUUj0IR+QODV2LUh5f/8iXl+8fcFzxxchbGSzLiyepI7/KLYEIXO7hoEgtATBL6rbPra9iu2WhmkcrlxKaxrlCgAPih5AjmJ4GoJhbzqs3q+orqSf27gygRJIohi5+aMY0O7a7iyIDg5D520w7vvXOCD97S4eYekGlaYnhvjiZeqPLJfcGGhzd5tTTrNw+ELLz72v77nLW8TS0utv1evV//7AvzoieNYa+54dt/B0oVLcOzMCA/uE8RJj1bTp+xJNtUFC90KT7xc4oVjEXu3Ntk8GfPOW9uktozFAVBrl/koqos6sxhjc6Yo2rCE81EUoC5O/IrPVQC88GAUlbyCvbUufCcSz5POv+ELwsDNPCkHGZVSbkOtxNRrXSbrDfYd7fBLvzfGoXMTrB8VjFeGpEmoqYTOv1IKU0pBjOdFXJofxVMCJU1/6lYRZGaZJE0Va0Zd8aSZhHQjSy8ydHsZrZ6k1FGEvofvhXh6hGvWp/yfPz7L3//38NzhKTIjHcAzS5JmOZMbosAQxpKer/oSzPPA006iOZ+KRUtymQIif34djDu5Ql4UQvS9LG5shbs2WUY/TkryOMqYPAZSgtpol7/znlk2TSbs3QyVoEo3KjE9F9CLFXu3z7NhXYcoVWjpsbQE547tK81ct+EOsTLj8+cN8F/73a+y72BWPnv8K75JGuxcX+PMpRJX5lNaPad1R8qWqrWMlJ2vuB2HHD0RcOik5eBpyS1bBWMVdxKVkoB1LGsMJjdIGeuOotpm8/Kyta8FdvGQYmCikhKkFH1wOwkkhuQJhB4EvqEUWkqB08/lUkKtHFOvdJkYbfDiiR6/+LujHDg3ydq6YrJiGCkJqqHrES2XBKXQ3Ryu1B/z3BFBu+cTKvKbzGnwogkhM4Ik1VRCxZ3Xtdh3qEYnt6B2o4xOV9EKFIGv8D0/1891rt1g+JWfnOHnfwueOTJFYiSJMXmz9KAHM/IlgW8ce+feFC+/ud1BLlMGMk7mVd7XA3lRFLKIoetRyMcc6EOSMssc0wS+Ys82w427MjavCYEKUc9nYcmlEeNEYaxbZSaqJZodjytzPqcuWEqlWfY9/QX/B3/wu8qz577Ymdz0PX/+AM96x5HBuvof/NFXfnP7uqv3VoM2oaoyXgu5PKtZbGX0oqzvTksyS5K41J+xzvwzUhFkiSv4qMIvIdyJUkZgdAHqwhhUAHvQFEyuvfsXQzhDkZA5uHOTkeoD3DGJpx2T+Z4bgxb6ucEqyCjl8qJaihipdhmtNnn5ZMQv/u4or5ydYnVdM1k2jJSgEgoqJUW5pCj32TsjDFKq5R6Pv+Kz1AgZHR2UyQvAOMYTJJlialzx1hvaPP6CcV00sRkCuST0JKHnelS1LiGl4doNll/+yRl+/rcszxybIjGaJHcAOturY/IgkX13oa8lWucmLClQujg39D9fcRMWUkUUrjQGBaGVhymOIi4yg9+BJfAFWnvMLo4RJzWUtE63D3nR41SQZgHdSLDYgCtzKWemE6QHzbh977Znz/17b/VHfubZV04v3XnD1j9fgF+6dBWtF36+7p/82MP7Yi42FD/+nhluuabOqVqV6XmPpZamGxnXhJAa0tT2g0klIfBdUCclfUsnwwHNEJiNGTjgljF3jvSiItfX3rJw0A10d+EY1Arnz9AWz3ONxaFvCP2MUphSDhMqYUS13GNspMH+4xG/8FsTvHx6FVN1j6lyxkjZ5uDO2TuUlALH/mGQUg5iUhPRigOEkngFg/c1uMgD5jy1lnhU/J6zC8QhowXIexkdX+Vbokg8rfF0sQGtZc9my6/+zFX+998wPHN0FYnRRJkgzkzO4oIwMQSexfcEvjb56iXdapavaO785F35xfOQMat/Yw7HOnY4yOfbkpAUAiMsvUgws+DRbGu0csSUZU63u84s4Vrf2hkzCymnpjNqox1+5F0JZy9YHnzswsfe8pYDp5Ik/vt/rgx+/OQFSmPrNz32jd/a++rRaUZrGU8dCvmXn4353z4yz7b1Bk/XCH03aqAb2X7zgbvDXTZB5Y0Fnh6wN0MncjioscWyaAd/3j/VBWsPB5XFcpt36Kg8mNLa4ikHbF/bvnsw9LJcNyeUwojRWoeRSovnjqT8vd+e4KXTq5gc0UyWMkZCSzUHdylUuY/dgbsUZIR+Sq0Sc+Ss5bH9FXwp8ZTJg7hBjsLkS3uSKVKjuf/mhO1b25w6X2Ky7Pofe7GbZ9Lp5SysFVp7KGnzopHluk3wKz81x9//LcOThybpJSWiTBKnlnLu4w48HMh1sXqZXKJIpMr6K5ySYgjgYgjkvEavDEBuh66X7fvNc+ZBCvp59CQVtLVbWSHv+k+d37wXZXS6KfONjLNzlpHRFn/7+5YYK49y+IwiFBc4feyFvT/xY39tU2vp4rlqff13HuCzM9PU6yObX9z//P9z5uLSB3zR4PxMyERJcHF6hN99wPKLP7zAqnE/11SKbuR8F27mSNEdX1hVB+m7AqTLmGIFY782WyKK87gc3MIiVZEWdGDQKmdt7eaoeJ4h8AyBnxL6KWEQUw4jxkY6LLY6PHEQfuVTq3n15AQTObjrJUu1JKiEop8rd5kX49jbdwAvBRFxltHrhoTK3WRSDC39FNVCkQea2ml5HRHFlm4ihgBu8P0M39N4nkQrhZJeH+AIuH6L4Fd+ZpF//umUZ46Oc7lRo1eR1DNLNbWE+cSBwLN57r/IpNg+exdSpQB4//PmH3oY58uvh+1Ll75ktEUF2f19KQVJWmj9gdwxJveeJ4ZebOh0DTNLllYa8bfe22FdfZQrczU2TUgOnu2yef3cB159ZV+2eevu//XKlctn16xZ+50F+KtHz1IqlW7ff/DgB0+fOU0trFIOFTs2CtZPWRI7yuUZTbVkqZZStLSEfqGvnOY0RdpjCJCCQWAzxM3LMiWDx3JVWFwEN+6hYG+b3zg2dw065tba4GmD37fHOnAHfg7usTazi11++Q/LfOnZSebao0yOSCbDHNyh093lPLAsBZJyYHMGd9o7DGIg5tGXfRYTn/GAZX5sxPCS7s5JnGhqgeYtN3V47lhMKwkYyeOTXmzwI+dV97UDuFYWJT2EdAUaLFyzQfKvfq7Jg891+ae/t4qLc6N065q6L6imhnIKQQK+Z90oOu0KXboP8CIYd8/DgfrwjSlE//ItCz4H+nzF1er/Gyb/d0Sf7bMC4GkxIdfJ2I1jgl57FfsOhbR7kiQ1TNZCzp49zob1Yx+cHFd/2Ot1z/7n4vY/C+CNZodatbTj6Wee/psXzx3ilt0pUzXFlTmPXixJUtBK0Y00oR9TDjNXJfSHmxDcclWknApGWAnsATu8HsAL3U2fWYpyc5EFUAXAlUVLB2zX1+nmnfhehu+lhH5C4CdUS1207vD4Kxn//qs1HnhqitjUmKoJJkInS1wKsMiTq/wQOXMPs3eC1hFPH67TiTVrysXnWcngeaBpJEmqCD3FHdd2SY0DeDfJO//z3HYvMi441CJncXcji7y4bhFM1AUfe3ObanCZ3/tqlycOjzOdlOiEklpqqWjrQK7zOETZPC7Js1dywLJ977gEyYDFX4+IsCuv3UpKGqRl+jd30WAx1D3kMARl5fPMKx5aGZLMOT+vLAhGqoJa7RBTq/f8zRtuvOelJO6c8PzyfzvAn3v1PF/4ysN4wdha23v5vus3HyOseIzXLTs2BjTaJZodHyx4nptTAuQXT/YnR6Vp4WsQeXAili1pr9F3AMOl9+GXwq6QJkVVzjkGVT71ynm+c3Ar58UIvATfTwi9mHK5h+93+NTDmn/2H6Y4NTuGF4SsrgrGgoxaYKkEUMk77EuBq3aGeUHI+VeyfCVw8mSumdGOfXyl8KV9bYzBwF5QlLjj1KPk9Vhd77LUqTp3Zc5qvmfwvCxP8xUeHuUAvixwdc7HD9zT5tbds/zKJ3v80UOTLKQVOoFHxZPUtPPgBBp8Rb8ZQhdFn3zlk32pMigALdPkr/P4ttdyOEGQ26CzLB9KNNQ5lOZJiCiBhVaCQbDUFSx1U0bqEaln+Nq+OTZtOXDfmrFk7dxC44SNTyL87f9tAE+zjOtvvmfzhfNHf3v/wXPMz6/mpdOSkXqXnZs63L6zwZ3XSLTy+p01xhTA1g7kiWtISIoRaZnoZ0uMFf2ovAD1t8txC+yATfLqmxwGuLQoaZDLmDvLQZ7iaydJAj8i8LqcvZryOw9W+OKT45y+Okqt7DEWwmiQUQ1sXnovwC1zcMt+USjMtXfguxunVon4wtOaE+dKhEq4imGRQWGA8v4YB+t0eJJqrtkE7721xb//2jjtsqaWzx0J4jxuUAadDz1y2rkAuTeEMrcqbJyQ/L0f7LB3y0V+64ExTk+PsJCW6HiaihKUc6D70robJ88y9Ve/4rwW6UOcPhevzzfLAF48raxZGDMcXLu+2TgHd5R3DyVGEOfSJdAxd1zX4LZdMdesV9TLNfYfGeHEiePcccs1v737xtvfbePmf1Kq/EcBniQ9tA548NEX1z+578i26csLXL/Z7aJwYVbzlW9V+MITMXu3N/jxdy6yqm7YvdmSpR6Z8YlijyjxiIcGzmRDDrTiIhfmnmXVSTt0God8EkIMgO2ec9NQDm6XNSnYO3Mzw3VKoFOCIMLXEa0s5tc/6/N7D67m0nwdo0qMjSjGfMuIbyjnzF3ul+9l7lPJpUmeO++D23fVyyiJOXExoB0HjAZ5FqcoOhUMWMQWdsiTkrgxdVvWx6igRyuu0vUFpcQSFQDXWV6oUS6PLQsL8OsFr4rJkQ4//YEOH7x/mt97sMnvfH6cuW6Frg4JtaKsBSVlCVLr2Fw6qaLlwN5QVDlXMjm8jlx5nRW4nyfPPf6uJS4fxJTR7/HspAZpU7wsZseWDlOjET/6jojrt/qYrMblmToXLgWcm4HtG+ZozR/YtlAO1o+tvutskkZ4OvivA/jRM7OUwurkSFV9tmz3ezdvLZGkHru3KkarktFyzLnZkOdeKfHN58dYM9XkrTc0uPu6Lm/a02WkpKhWfOI4oNMLcpDrAdMPDb2EITZfwQ9iSHsX9s6i6jZg79wlpzIHcJ2hVYbvJYR+jO/FNHoxT78q+dTDNT7/5Di9rIrv+4z7grpvqPiWcmAp+wNwh4EkCCRBLk1cYSjPTOQA9z1X+TxzxfLEi2XixCOo2NcEmMXD9DW4S6HFicLzNG+9tcVnHmlz7GKFbphP8fIsfgpeYvBig1LS5a2lQAo5GO5TALzIsRtJOdCsqnf537+vw7UbI/7o4SovHBlhtluhp3w8TxNqQUlCIPM0apFeldbVEwRDIF9uyvp2IC+uY2YHrN1vYskcqFsx9NKUkaDHulqbe69vcefuiHuvN6wbD2i2R5ieH+H8lSrnrmguzRo8DCfO1PnDL7zi/ezP3PFZmL2BpDX7X83ge3aMykNHjt/+9W99a6TdbjJezZisa9aO+WxeXeLl45okjRHWMtvxmZ2b5PcfGOPTj3apV9p86O4G33tfl2s2RoyP+nS7rmk4ST2S1BnmB8adQYvZtwe4zQs5bv5eYfd0utuiVeYArrK+HNE6odFOeOqg4BNfq/Hw/hEWGlVkKaRaUtQ9S803lD1L2beUfHLWdsxdCqTbJcIXhD65Q8/k4DYEntPfSkccvwiXGqErrOT6dnnhZLBCuT7Iwo0niWPNqppgx4YuB86ndBLPjWlIwI9x4FNZLlHEUAV4uU+juHmKNGSSOX/4R9/a5Z23LfLNl1r8wUM1XjhSY75VpiF92r7GVwJfCgKJ6+GUFi2KuCZP7Yrc9vvtAD7E3sZClpfw07zHs5MJOokljhPGwg43bm3wkftbvP+umHpZUwoCGu0yswshS60Sl2crHDmneflEzEIrYfVkj2rFoL2Ml196eGS+8a7bK6PXfS0/nf/lAJ+dvhzUguw3to+frByZG+GPHzbooMWbb2mwcSqil9aRQlANXYdI1YdWSbIUVZlZrPBvPl/nwecavOu2Jf7mR1usH4uI4hLdKCBJdX+y6zDALa+NZArtPWzQd7LE5JrboGSGkhl+kc2QCbOtlMdf1Hz1qSpfemKEmWYFEYZ4VY+ahhHPdfKUPHLZASVf5IfMLae57vYFQcHeBcB1iu+nhH6MtQmP7g84d6XExJjAkybXsWLQ6DuEhL79NJcU3chj0yrBW2/q8MVnY9qJRzcRhJ5rBPHzWYuDVUr189UIuUym2Lw3smhUcFVTTSmI+Oibu7z91nn+7MkWDz5V5vFXq8w0ynSFT9fXaE+hhcCTAk9KPGFzqWWRiFxyDQWeKwBeaO4sd34mxnXl94wlijNIu2ybaPBzH13gnbembFnr0WrX6fRC5pd8epEbBtruaayFwO+hS21u3drlbTdl+GKEx18a4XPfmK382Cr5G8jL1wLd/yqAL828wuxim8deafDe2zxCv86TBxRffDTBSktFpdRDQSlw6abQg7JvGAmgk0ga5ZDzswG/+aUqF2dmeP/dS3zo3haVUkoUB3lPnySzsn9hWNG0QP9kFtLE5M3DBpEDXOsMXyeEYUIvyjh2Cc5eVvzxN0b42gs1ZhYr4IXomkdZSaqepaoNJc9S8iD0HLhDz80kdDZTOXSI/M9tDnLTB7nvufa0U5cNB84E4Hn5Mm+HSvTLUxDD+jTLawRp5sY579kSsXt9m6OXynRDQTkVBIklUuSpPZOzd5FNKVKQA63Sz7PnqUhjVD59wKMXe5RKET/yroj33bnE119s8yePlDl7OeTopTLxUkAaaHpaI5V05Xzy9yO3HhfykMFouCLCNFZgcoAnBmIDiTGYJKaq23z4HfN8990d3n27pBfVuXS1RC8K6MUeUewm3BZDnXzPcOeeiPtujpEEzC3WePiVgANn27z11lkOHT0G4j8+S+XbAnx6+rzIku7fnD/2+xPbVvlI2WH7xpDZxZDxBWh1DUo505JEkOal13JmiRKoJBmVSFDRkplumT99Yg0vHdVsWT/Nm2/uIBqGNPNcj1/eCV8Emjlt44o5eTos74qXwrjRDzIjCNwk1TTLmJ6Hb3xLc+piicf2lbi0WOLU5QoEAaqsCbWioi0VbVwWwXOD80PPjWtzIC4OmR8qBzi55s7B7WUEnmNvd2O5HeCOnC3jyeXpwb5EYeAH7/s4ikyKkS4uST12b+qyY6rDwdMpndSjmggiDX5q8ylfA4BLKRBSLmNyWG6A6sugLH+PTJFkHpHnUyvF/NA7Iu7Z2+TSYpNHn/c5fSHg6/vLXJ4PyboeRmoSX4FUebDsUisS+nJleKCQzbur3GcwWJOBSaDd5fZbFviHP77E+rESM/N1ltplOl2fbs+jFxfTbl0GLjOuLJQkFZQq0+xopucUJy92sSLi4nSF09MnJv7W//QDf/Py5Yu/unbtevtfBPCs+RXSNPvYldmLleMXLIfPVdk25WaS+J5bLtPMOI9JXpnK8obhJHVFirJvCSODEpLM+lxYGOHXPttl/dQC21d36cUZxriRA9ZKJ0+sY+1CmgwyJbkUURlekJFkltMXBAdOK76xr8zBMz6Hz5RoRgFRHIDno2oegRKUFZS1oTSUBw504dMobLPOF14YwXxf4fsyvwHsQHt7WT503+n80E+wJubqgiSygesvlRY9lGZbmUMe5IQH/Y5Zng8XaCbHYqTq0U48Olq4TEcyMIxpZZZVIKUYimKLYUcIrJEDJh/qofQy1R8/0Yl8Vo/GbFyVcPPWiG7c5UfPNDh41ucbz4UcOBNy+ryTlDZQZFKBkGTFlyvK0sNmov5S4ubdkCTs2tTif/log6max+xCjcVGhYVWiVbXp9tzLXdxIvIpZfR95ibvzXVdQrBrk2LbeshMg2cOn6/8zp8+/TGh1K/+FzH47/3RQzzyfEONqJfEi0dqJJGkEvpIIRmvW7JMESUQx3kHfGYx2XD51TiQx4ZS12KtoZEoWl2fR54t86Ub2vydj7fxjcFYlTO3HJC3sGid9wpKSxJbOj3H5GcvSj79cEAnUbx8OOTkhYC5tk+U+aB9UB6qpvCloKSgrCyhwo0zU7nxSDnW9j3hih7D4PYkfi5LAh8Cnzxr4krmnjb4XppXRBNKYczMYsY3nqnSaAWMjgh0nosvTF+vVyCxNm8g6GtxSRQpJsYV77yzx9df6HK+UaHrSSdTNHipxUuKnHWeY5eZSxcyPOtEDtjU6qH3cED3M0WmFamnSDJNknguleolVPyEe/ak3HFtxPfc1+P4BckrRzy6seKPvlHmzLQHQtLparJY5uVOiVXkczEE/ZjPGrBugtB339virXfE2KxGL/JZbJWYWQjdFjUFuFPRbzbP8iNJi7HNbuh+rSLpdkYol0rs3Qyn5i+IH/nALvVzp76Wrtv27v88gAsBqR359ZdP9q5/1x0tsGWw7oJlRuaNsc5MFcWy3/2eZUWjcD6tNLNEkcGIlFPzCWHWQZiMxZ4k05B6qbvLh4ogQloabcErr2rmm5JSKNl3xOMrT4b0EkUvUVyZ9jFCk1gPIzzQGhFotJT4ShBKS5gDO1CWQFnnAdd5zlcPmNsv+jL74FZ5j6bos7fvGTfHxSt0t2Nv309QKuZbLym++GwV5WuXblumv789gxe5cKfD3diFXs/jfXd1+dLTTf7o0RHaaUgl1+FeocOToihj+91CQgwY1b2VHNL6QwDPxzyk2jG5pxWp1ug0c0BXGUq5QfqjYcpdu1Lu3JVgRcSH39yhl7gxHl9+MuD5Iz6lQDDXVLxy0KPZkQi54otiiTPDaGjAMyjRQ6mUqwsB56cDepEr9hSDPzPjyDLNyTKOnRmr1TV0em6qwksnBZlVGNvjPXfPXr9+6uZft5af/s9i8E6nRalUqX3uT7+86+gZ1OysYa7T4c7dTe66ztLthozWqswvlVlqa6LYWSH7rUtmMC7NWosQimu3Gt7/lhlK4RyQcuKC5uO/MIrqZ7gG1QMpBUttyQsHfJoNhVSKyLrDIkHo3IqoQWqklHhSODBLSyANvnRA8BX4ajCjz4FcDBoetGsEKBqPh8HtGD631XoFg2dDR0qgE6yNuTTnE0chwYjEz8veKnflLatiFh09DMrrA5BLMqOIE4/RqmLDRIwvenTTgG4qKGk3BLPwkBQFLSWH7a2y/17uPWRe/DFDQ/BNPrtxaPxDmuV1A+UKZColSTNU4moJWmVImbJ+wuQrhuHajT1i20VqQ6MpeOGAZqktUXIoT5Df1UrBsXOKv/HLoxjroVWJqrT4Kl0Wl1hr+y2KBeDjxNJsG2bbllimdOOEe/e0uOUaxdxiwKZVFXXucrzr7nvfX2s2G81abeQ/DvAT5+ZQavFXL06ffvO16yOuzo1z5XLGH54t89tfMUzVu/zIO2LWjQekRhJ4RYPwoKWp0M9KQSnIWDXeY9t6y9RkSqa7/IvfqfGZL9RQ5YLepFvf8tdWCEzRDSEkyMGzC6okSrgSswN1XnaW5Bu3FnnjoWedd9Ir8q336IPbtXUp/BzcvqZvMXUMnrN4vieQp1M8LyEIEi7MGT759QpoH0+KQYDZlyfiNQw+XOkrhoQ6sLmhOnHi8fF3dvmzx7scvlqlnXmUUzfX0bkA7aATRxU1gUHQ19fEBXCMHDJ4FYfpe2G0VnhZlu9al+WGrkHRzPnG89fC5PFQhpYGkRgmyxnfdbdFyNR9OWFBDAYL6bLhH/zbOp/7ao1YjVCt19gzZVg9GhF6Lqc/bJcuem8zA2nidpHYtK7Hx9/dYLKmSZIK7U6ZxmLAUy/F3CGOvPnmm/b+Kln21/+TDP6Vrz2MktJ/Yv9lQtnh3t0hWpVYbKb0YktqSpy5JKiXXKka77UeksLd5+uMUpBQr/WwGNJEsdBQnLrqQUmTBQpEceR6TqghsDtAO9egyxx4Anxp8YWTAloy9Fw01Q4ZiTRDc1AcyH096KofAFz2ZUvg235Lm++bocE5KV7O3r5OkDLm3LRgthkitCaQLJMnckX8NVSpX9a9NKyP00wRpx7jtYhNq7scnY7oZppeBkE+TsPLnXcqLcrpZqiErpZ1KhTFFzdp1w6ttIU0MujMkCmJ0sX25So3q2VIZfKVoqg5ZEPvWRTbsn6GSwgzKMSJDCkzECnbVqWMTxgutQSZEMx3BQJDybf9xpeVj8JeXQktWydLLC3WmJ+TdCPJQlNyYjrinr3zrK7DK/u/6rvNxP4TAN9YP48Qgu+6qcPF6QoLDY91U4q1ky46DzwYq7m7uxykbkrSCqdfYXxyttSYcqlHrdLBqJhPfqXEZ75RczusKs9JDaFzkIuchfJ+SgFagJfnXl3RwTG1EjmA5eBZ5Q0GAyso/QZbXwkH9mXglu7ZL4BeBJ/0tyf08yaJQqJ42ulT309ISXjw6RJXZ0t4Iwp/2MMxnEEZYHzA4Ha5Ph4u+vQiN8H2PXe3efrVHs00pKM1pdQQ5+V0JQeGqMJw5nzXxTsVgaYYeEIsLmtljXP1Kfee2ghSJdCZRCuZyxRDmgO9X0xTOXsXWa0+wAej4AqAy/7NkEE35vvfHnH0fJNf/1SZTqfEValJMkHVdzGSGqr6FmRQ7J1UDuDcFclSy10nawwGw1RFcvr8JPsOKsZHL7+uSW8ZwK+c+SK1avimP/z8vltnlppcv8uwccrP9z93ZXWtbG4uSvG9FK1sP51XVBuLCqOXl8tHRzq0el3+8Osen3ioTicquU8tfRDKSY684qf7h0u1FYYllZeNdW6LLTp2dP9Z9EchDAO7PwdF4foRXw/gRcBZ6G5dyBKb6+3lXnLfS/C9mOmGYf/JEmgfncsTPWRQKiqYYgXCXQveoBtmMIJB9nPiSeJx0/aI8XqXxmKZTqooK/BS911UZt2RDAMcB/L+G8llLX/Winy+TF49VobMCDwjyJQkU4ZMCdIc5MPmtcIOUbzus3gf4K/9uaguGyMplSN++J0d4tYsn/imYHGxRq/qUU6k+16F3Tkv7BVg1xI6saUdGWaXIpR0w4eaPbfJ7bpVHfZszZiYnLq1tv5tb/rNz7z1qZ/52FtfH+AXpzX+PN9lUnXjCwd9Xj7b5bvvmWG8Irl1t8EYnQcuTmep/AsVef5+3lq6QCXwE7SKefao5bPfLPF7Xx6laUpQKSGk5wLEXEt70g6VhQegLoDiQO2Yscgxq/ykFFZP11xcdKo4WaL63SsDYBfNt469c82t6evtIiXoGHsAbq/vTkwQJDzwZMDTB6vIQONL4eZv9x2Ew/NZ+jmiYRIfjEbrs7jMC1+Kbs/jzuu6vPeeFr/zQJU4C2hnkjBze+VoObj5B+CS/e6ZwVt9OyYHo6UL6ozogztTEqWMY3Qp89ESrwV30TY3YHTbZ3GV/04px+DaKExLsX11xC/9TJNNG1M+90iHpw/X6cmAJU+jpMzPlaQII4qGFi0Fsm90ychsxs3X9lhXifnuN1lUWuFqR9+4qtz9rixLnnpdBo/ap/D82jvPnfjKD+5cd4xL11r+8JsVDpz2qVVj7t7bxaQZcZLy5hu73Ls3cvu7pIOAxn0wg1RuFO+XH/Y5eDbk6VfKHL1UoZuWwA/QyuWp/TxA9ESReRhi5yFb7DCopRgsz0rR//t6aHJVMSaiz+J5N4ynloPbjVNYwdx5z6aft7d5umg4SIeOhJiEP3m0RmYDVL96ORxgDvoai8zGMg2e70ZsTSFTpBuFlhXBpkbg8dG3dPjDByOWTEI3C+lmAi+lz+JSWmQq+iunSxeu1KJyKFMhhkAuyLQbsuTAbci0RRknVzJlUZlzMLrqsUQqOwTwIXC/DthV5oLVVGV4SmGMJggifvK9MW+5eYanXlni4NmQLz5ZwaAQUg0td+4D2/y4d2/M/TdGxJEizQR378molz086fGJhwQvnbrE+6qzP/j93/POx46cvPD1a7dvWA7wbg8s2fazl8S2bzwrODMdsmVM0u2FtJsBDz1RoxlZmrHhqy/ETNRibJZis4T+2OKCyYXACsWFWZ9GJyDDx2oPr6T6eeoiX6zFcFptMEps2MU2DOoByAfzBovXxZ40Kge3UiuG3eTAdluAD6ULc+b2vKIx2ebMPQgw9RB7B17M/pOSE5dDrPJQUuJLg16x6sghAb4yi1IcDtyDBoii6JNliiT12LY2YffWNs8eL5Eon24qCCV4mUWnIieFvAsnzXU4EoFh+VuKIRYXQ9Ko2HGtcDY6v4sDd97OpqwDt7TIrGBnm9t17WsYfNjC7LS7IpWaJE2JU4/AS7hmfcK16xOa3SY/8/5mnnlhcKJyK0OWapJMM1pVjFY0nZ5Pp+cs2K2mT7sn2bMJyCKqXrItjdPtwpqvv4bBT51fRHk9Ot2IrWtDJuol5pYECw3DUitlqe1G3jZ7mqWex8XpKu3E0ssMxgzN5Rb5sigkQklUICkpciumxZdmYEYSxcyQ5ZmHYlkfDthk/+8WhnzhuucLsOedLgWTF/teFiMShgE+PPzHddvTB3a/Wtln7izfLjwPLnWCJeFzj5aZny8hAu3y7sM34UoPSj8CZ3kzgFnOqsty00aRJJqJMclH3tpi/8kaURbSUT6lzGlxPbTiOXAXa4XJc+KFMTe/Jiv0uMnnPQ5vK6gNuVQqViSLMkVvqc3jpRzo0i4HuFB9gC8PSN3PWipkYohjD9XLiUNlbF2T5RkY25dTxqr+Td6LfTrdgAtXAppdn1bHY7GlWWxK5pcsC42My3MxW7d1UUwjbe+1EuWzX/pTDIqymiOKu9QrXW66psKF6TJXFxSNVkark9HsZCx1DI2uoBVJuqkiyhRpbnC3eYAgKTIdRcBo+w67Qo7IZcw93II21C4lBpOXiqJG8W/IYQZXg+eBXJEovRzgvs4HAHnF1oF5hVNbvH4p3uSvs2WHVq5z5/A5+OzDVSLpRkEHeWZneCbLygrmymr9cIP1ch2ea/FMkWaaINN85B09PvG1Dq+eLpEoj46U+JnJs0cCmdn+oFEpbN5eZofexeTvtXzfomEmH4DbzYPUprhWxkmhft9mAWgxlPkobANFI4pFZmoo2HQri5I6z6sX45sHGZd+ooLBuUgzTRRrOpFPsxWw1HZDpRptSaMFVxdSLszFbF7fZNsWwcLiKzzxrWMkqV0OcGuPATvLD/7Zv93y7Istjp4WWFJG74CpMbfEVMuSVlux2HQtYFIYlDCEaV5qHeq/GwQIQ0w8HDAOlbHlkM5ePt9k+O+IPnAG8mVo3MHQ+IPhqU1aF5u85tpbrQB3Ub73isZk42aG9FvEip7OND8SlBdz4pKmFfugdC5P7Ap77HIH4WuyKEN62K7MhefdOIPCj6biCXat6/HqiZjMBHSNT5g5z7bONbgSzuTmCktFuc30g8wBk4tBhTP3w2hbDDZ1v1P5bEFXMc0Zu8/ioj92OS2m0xad+HLg/nTAlfkNl98UQ+2Fw9pd9GeUF+encEAqoljT6vjMLfnMLmrmG5ZWx5HtYitjvGa4a7dPmijOzwScn9225W//3E+Xd932s53br9vkAN6YvYrnt96xY0v480vzs6yeLDNSgtCTeCoh9DM3e7onWWx52AuWdtcl6ZV0d3x/lklxGldc4GGGXvY7lmcbCv+0zAucw4w+3EDg7KJDz2owZFMOyZLhXYw9RZ4Ld+B2AB4MBfKG5ckwe6u8r9OPWWgZ/t8/rTLfDRGB5+TJ0MpUjF4YBvm3eyyb4mUGPZXGyH7pPk01tbLmb3yoxTf315iPfGKp6UqJn/dQqiEZ59JsYtCgLUzfRmsxObgNFrkisyJyBrf9IN1YkMbJvoKJ5TIWZ9lzUeAr5tQMg33QS2sHOChGXwj6AO8XDXPJ5nazlswtSU5eNDRazvPfi91+nt1Y8oVv+VRKGTPNJe67p/rz33ru4FOdTvfP+gz+8iunCEOfg0eu8tUnFbE13Ht9h72bfUbK7uS46qDh1VOSZw57dCL3pQNvxfAS8VqQD8/VGAb98p/FctDLb8fiKwCulg/ZVEOg1lKic0mi+wAvNLfpB5WeNn1wF7pw0JHvwO2pBN+P+eNHPQ6dKkGe5gwKa+yKVarfhymWd6O/BtzDBZ+hdjOTM3mSadLUY8+2Dh+4p8knvhZidEBX+gRS9Is+SgoSUYxAfi2Ti2EmL8YhD+3iYC0YBcq6VcENQnUBu8lv3kyInIFFLjuGxi8PNYIPj/Poe/nzP+sPfWLw2mHFLoPQoP1NUA5TpsY6PHFA8uqpwKV9NUhrqVRSrlvX5Z69sNiQZPYSZ06GmCwaSJTMul7JejXk9p0BcRoQdQI83WTT6kW0F3HqkuDV04qH9oe8cHKUdSOKajjQx8MBsOj/3yD/u/LPXu/ZZR1s/7WQyxn9tQAX+Qi4IXBLOQB4v9BTANy6Odm5FPHUIFviDQ0HGmhux96edlOrFhuGL3+rylwjgDDPnoihYOzbSBSG+hiHBfjrpu2KlGGxJ07mGrVHa4r3v7nDl57uMd8OiJWmm8k8PSny7I0YNGPLfgtCH9jWDrp+TJ/NiyGaAmVzHa4E2jpgZ2aQrZL5e0lp+2AvxlT32ZrB6z5wh4PtoVVtGahfg49BOrJUTrn5miWaaQxBmUPnAo5cDAiUZncoKasqLx/xWGjE7LwmZHO9RNTLifnMmZNUquObTxx95melOc1te2bpJiFKWVLb4v/+LCTG58j5kKPnQoQJqPuKkmfcMp9LAvkfBTjDqXKwQ3/HDvnmKRhPLJcvciXAh+WJGHS49IsTLAd3sbNBwdxqiLlfw+DFuInByAmtXOXyzFnB8XMhhgAhdb85d3mac3BTDrIag5Mz7EUZMLkYkicin7EtB+1mmQaruWZTzLY1PeaPlrCZ71g8E3kgD8PlblFIlT5L5oK7sNFCnvkSQ8EnWCn6qcMitjESTM7cmVwpF+3Q97VD17C47CsK6OJ1X/Z/MVjRc7uHNnQjTbtb5f69Le7d2+DwecHxC5LESB58eoQnj4doldDtpvTkeW7cu/Nn33bPvS+fOX38rLYmw2ad1d0e7/zG0xHtZJSZFjQiSy8OOHPZQwuJpyRVBaM1Sy20lHJLqdYCNcS2wx98pTdgGOB2xV8YXsZljm7JwJFXnNAC8H1w58AuGLzvSVl25Ftaq2FwD4E836/ey62hBXur/GetE5RKePDZKifmSuAP5IknBzn7ldJr5biIlY/lI4jFQDIM725W2GhjzdaJmPfc2eH5w2UwHmnmtLiX5UM+s+VSSfS74O3Qwp+D3NohiTIkV2T+WuariiwOMaS/xWCg0bJVSzA84mOY2Yb6fFaM5BPLXw3JHSUtic7961mFWs9npFLhuvUJN25OEDLlrl0dunFMuxuy0AiYmV3EV+adrU60Osuys7pc6hCGivpIi11bu0TROPuPChoLGTqD3atyA5NeaTsV/SzF8ETS17uIA6ayy/LAxRw7u/ILDjFPX6IUJ3jo9UoGV8PgzucTDrbt4LXA1oMBQf0Rb9rkIE+dPFEJpXLMs8cUf/atCt2eD2WNliKvwA7l8FcEmN9upt/wDb9Mf69IGQ7nxZNUM1LVfM/9Pb72dId9x3xsxaObBfiC/o2m+u8/pHv74B6AfHh6gQs+8xtMOTbPpNPjBcCzfhBdkE0RKIrX3NDLCK6v95fHHa9Hcgxd/369Q1k8LWn3FI22x8xCmF8jm9t7LSUpmWt7HD4Fs0tz7Gl3aUYp7V6Cnp4XjKZw4JTk0Zcy9mxpU69UCD3VB2RRnewvwapgbbHson47llo2xqu/z45lsI+8XfkN+6tBf+xCIU2KpTEHtizK9LJYUguQF7ZZ1/5WjFDW+SZMWi0Hutdna3co5QJM349J4oyvPVPm8PkyeB5CqhxU9jUpUCGXs/hAbw5x1TBrF7P7hjd3ssW2fbKfE88yTRxrrt2Y8q6727xytkSU+mTSo2sUfrYyHSv6Gnc5g7tnu+KzoIqbzWCUQBVNK1JgFchctiyTJxKksUMyqDAkLL+Bi+LS8C4Qw6Bf+SiIbvh9HJGo/ioiVvwXvdhQq7W5fkePXRtSQp2hShm6e+WziEVFzbSp+HVOniuxdkIyOeb2NH/NthU56Ps7K4jhT7WcnpZlCYzNnWzkWwEOb08iXvMFl43vFSvZe/nIX9Vn7ALgg8mpfYmSM7djbNtnat1/Hrz28uBSq4TAjzl4TvD1p10HOBUPKQrnIEPpwdepYvaX7eXLceFFcSdJLCOA1xR8hgxYceJRrca8666ILz3e45XTAWifnpH4uRZXBlS2IiWb4YJ3IVw1bpCn6APbWrfy9YlHOjYvVpVilru0+Xd0PQ2vTYmKYWIbyLBhW0C/OaYPcPtaoK9MXIjXwVT+LIWlUoKdawI6yST/7tNHaUZX0DJFn788hxQQxfDmm1Re9CgaiN3WcG6+d75VnJH9D7ks9z30AYd/XxQTTD6brpgsavJO/MJMsyyHnn8jOQTyAtjDI34LcMuh4ZE6/7lgbtWfD74C3PnhFVNoc4O/Vmm++3KC5yWkNuOBp0o8cbAEoQbpjGJeUSYfBjUrjuEfvu3qNrx0i76tp8ioZEYuA3rU87hvT4f3vKnDoXMhaephhaIrNF42cGKKbMDig4/w+kw+eH+3Z9JAOrkRFdYKpBF9Ha6ky48v19+v/90GXpe8U77YQW+I5Ir3fg2ZF34dcORo7KD3N+/7dZMcILWCl08KtPKRfhNUl8Ra9LmZCqAQdMnMEs0F2LE24fptmij26eY7YUWx22i0Fxc72orBkgODjp5lmntgJurvWpy6yaJphjtp+ZclXx2G04oFsMUyaTII6vqMnbO2GtLeevjQg01QC0B7Q6AuMicuY+KelUrwvYSXz0o++2gV8EF6CKH69l6VV/SWF6kGN+VQknQFwIbYiGHmHtLgNp/Cq/LRD5nql++t1Xz0LV2+8UyPF065xpHEKDqZyA1f+U2X5aw9pLiXCwjh3lyxDOjF9VPFzZcbq9RQnKCEY/BlIF9BcP2Jshl5Q7FZNoGhD/AVu0P0YZRv+muKWeL5tiy9GHqJIEqhE0MvtVy/vc2WtZb5psdotUw1dO+hT54PUErQagsuzkgaXctzIzP81AeucvceQZr49GKfKA5ptEs0Wj6dyA1ocaOSBzpr+fjcwYUr9lBMMkGi3D6KMhWkKaTCsUHBYMtTRcuzJ0UwN7z9SV+S5K2b/XnXrwPuZaw99Fw01hZSRakUz0tJspTH9pU4cLIEnus+0lLgD/nWh60FKzdxWk7eK7Tp0It+A8SQR2SZuzCTGJVnVDJNFHtct63Hfbc7Fu9mjsUj4dMzoLMiH577VBD9fPRAogykQf9GK1jduvNqlc21uEBKF4jKQpsXK6sFsyLvP8zeRfOw24zM7enpNiXLV3AzdGMtA/hgE7Isc3v5dGPLUkcy34VemtFNDFGWct8NLX7gnQn1YIyFhkc31s5+i0Wvm0gxVrJpKuY9t3fREr7xquXXvljh4ZdddB4nhlt3NnjnLW18PcpiK6QXK9LUdYasLNNTLLf9L1kMehdEsViu7YUb9dW/4P0TNUg9LnMTLjNaDSTJoJtnAG6lVoB7aCh+P3uiMpQeAnguUXydcOKK4A++ViVKPCh7uTyh35pWGMaGq3eD6twKzfI6y+8w0IdlijFDQLevp8U1lUDyw+/q8MATFY5dcjdfZhSdTDmXYSb68wQRFpG5FN7KlWQ4j1UEm8oOfSZVMLntA1xa2fegWOuuU5+Uhr5TAeI0NSSJIUoMcey2O8xyqWHs8pVj2bnJY7Qsg14C823JpWbG225f5LZdPeIYPJVx/bYOh0+N8sjzVQQZN+6AqTFBnFj0z/30h1Y99cKJf/DHX36S2VabwLOcuuRz/lKdM2cVAFFq2He4i9ZN7toV0Ys9hIDMM67yu2wRXP5Bi8lKaSrpxa4j3ljZ1/Uyzy/ZwmorxLIlv2+yGgK4LIDcZ/F8QyXlHHaDLMpycHvLgJ4NPQ9p7zy4jG3KFx6t8PKJkmv3ERolXOVS5x7s17P4yiGQf7vM0rILaQcrYJEqtHkWxRrjgL0M5BJjNHHP46YdXT70lja/9imfrtFgNImQdI1rzpYmv/myIkZwYHe333K5BBY1JE+szef4DMuV/p8ZF4QKx7TSimVB9XBq2OlvJy+6PUM3dqMg0iIW69/ly07L4HPg/o04hYUe3HNTi//5/TEbJz2SxMNaQWpK9HqGvbtm8ZRh86SmOvH2fxCO7Pkp/WePX66fv9h596nzcP7SCL4nMIng+vXOfefmPCvizOPoyQo7ViUIYQm8bDmsh0qywwuyuwsdoHuRRgqPKHEoMEPMPzxeYRm4xWtZW66QJqpg7UIXa9uXKjrPmRavPfVaSTJ4duD2dMLxy5LPfLOcz19x7O0VnftySC4Nf06WS5OB1Br6YSgHvCzA68+TEUPZhjw3XQDbSkymyFSuxTPN9721wxcfK3PkogcyxgpJL/PQDDw8LpOSn+hsUIwpmHwwvL6QSblMyTV6AXgFDtT9TEteAR0ajyGFHVgThm7yNLN0IkujY+jFgtQMYrjX9S+txBGWNTXLDetqzM6OcXla9s+Ppw2lIOWOna45PE16VEcW3h2Wj9Z1txkRkHLXtR4jFY80c/9kERSa/MsHnmDVuKXZkYxUIgI/XWZ3LIZjuuto+pU08pKxW2oVvldidqlGFOP2z7QDSQLLwb2swWGo71IOs3Z/j5nl0mSwAZVdJktU/lopgxrKdyvlDq1SMpXylacqHDkx0N5CSDxBnj1Z3jW/Uncv/1ksu1DDDAVD+nuIOfs58aGJVDpPGw7y406qXLs94n1vanPqMwFxpkBoMqHpCoHOirHHRaBbZFSG0oQr5Yp1ob4dyrCogvPz6WYq/3OwFPNS3dgHx+oiN3upfDUGRbtruLoEVxuStKieMjhfcjhYH8ZBnq3ytWC0ZLl0xSOJPHzPfWZjbb6RgmNj553xuOs2RViy6PUThqafEjVbrJ0ybF8D3ahEp+dmNMeJ+4d8baiW3eztwC8airNlxnUhVnZh513V1tBLDE8dDJmZr3H8XIBEo/VQXnsILMNSZDiQ7PdhDoH72wK8fwwCyqL03t/iROYFnvxzKpXheQmnryj+3Rdq9ORgrMWga36oYUPkRYdhSfLtOhxWqpMiB1wUfHIqN8tK9sMaPJ+boiTKKDKjSTOPIEv56x9s86ePlTl1WYNMQGoS49EVAlXIk1yP94PN14A8/50Flefn8yCpH/ApOXRz5suOlIMbWOZl/mLVKExa1bJgoq5IvQYjzR7PHwzpJB5toxCisP3K/rUvJiuovOHYV44IPWW5PJfS7LjtXLCCOLW0I0s7gk6SsmN9zFgFri4KrNZoTxt6keDZAyExEROjPW7c0ebuawWbgxLtbkCSKIQsxkUk/S34tHJzUXzPgUOIDIEDdjPf2DMx8B++VuHU1QqPvjzGRBBw3dqM1WNQCt3oBiHU4CSJ1wf3Mq3df70C2P0MyhBz50BWMuO1+e7BjhBapXg6phkbfudLNS7NBKCcPBFSDlKDQ5q7/3pIiix3EorXLLmvAfqwVOk3Hgz3aBapuQF795shpCJLNesmI37yAy1+5Q98GokbdWyFJDLKASUrPoeFbDhtOAD5IBcthn6TszPLwe7+csHixa0h+sWYYiXWEnwfyqFl7UTKe++JGKnN88SrGWevCv7goQpx5rHQCGh1PDKhyawbAqWKJhUJoRRUtCU2kl5iWeo45RBngkbPEpRj7trT5KbthlW1kGbTw/rCbU1Yr3bJxrvctivjzJVRjp1LePZQzIP7GvzC989y3SafKA7yO9jgeQ7gvpe48QnCMLdkieOMOIMDxxTT84oXT1Z4cF+FXhrSapdRwmdVDaYqrj0pSQ1+JjDa5p6U/CIMtaetBHcxk8+V500eWObauwC4LrYzGWRNnBwZkigqy+dsp/kq47S3DhI+/0DAb3+uRmQ8J0+EyoPLAasMxwYrU4KFLBHLIszXh/hrHYUr0nb9kr3FGNOvbvZL+MZtBR7qlJ/+cJvj53x+7ytOi4MiE4KekWhhkdkgyOw3RBRIHAKqLdi7kCf9D+k+nyLPDa54CGEQRiKlA35RfXYdVO76LjSrKAXvvLWFVl0+/rYFEpPy9X0eL53yuDTncehYSJJqIqOZXvKJhKYlNYtaUfYEgXI+KGMtvcSwe+sSf+/7G2yeqjA7P8nRsyUOn+2xYYtlFIP2tKZSgonxBOUJtq1THD4T8NSxcf7x76f8yk/PsHuTE/RCuv1RzlyGc9MCqQwZgs89UmJmQRMbzYGTJaZnXbeL8jw8raiXYcw3bsfgwKK1oB/cWIeQ4XxyX2e/DrhdW5oZypzYAaD7QF8O7oH+Xu4SLJjb5b0TFhbhT79ZZjEqwO18J1o67a3FcnmyPNMjlunHZdnBIXwPa+2VIF/m6iv2EzXDVtohn7h0UsUYTZppRvyMD76twxefKjPfUk6qGEmCR6efmXKpvUIjL5MmfVVdwFwM3WwWm2vv11ZDB/eJFLbfEbTsj61ra2x3PZQsk6aScimgHMRUwpgfeVfET4Y9Ls92OXS6RWoNVxcUn3+kRGolQmnOTAecvBSSKDfqz1rLDVua/NMfX2J1bQ3PHhjn4GmNtQnTjYTRnqGaWvSRsyWajRKzC4INa5aQSFJTIUEyvah55EX44jclidAgBUpLnjvis/9YgJCue77V9rCZm/aqQkk4LgmloKQtZWWoeFD2LZXAUgrcbMCiUWFZD+ayrMkQuHUxvcouy5jIIfbW/Wmrdjm4lUHn8sQbSg8WAaUqMifllAe+FbLvQAlTaO88uBwYq5b7TQYdK69Tmi/ShQxJ3tfyHn0fxhCLD1tol6cO86DTSpQdYvHMQ5uUO/bEvPe2Dp980AcV47zfklhouoh8yxG7/Obr33lDgO8XNsSKn4dv1GE94pRP4V40yz63S1bEiaTbU0jhY60gSTW9yO/PedQqpRyk3HdDglIp1hjed2ebYv7hS8c99h3xHG6UJZGWxpKblbnvcJWj5xTn5rsolbFmVLJ3k2JqUqHHqhYSONVTPHsQhJWsmxB8110pm9Y1+M0vl/ns16ZIvQGg3VRTgc1cPB5UnDfEy6t8oYJQZW4XBTW0B44vCLxiVol0jRJKDFJteTVyJbiX6euV2lsONLcq9LccgFsN6W5VTEnN9bfO5UngJZw6L/mDB6pMt3y337V0g951Dm49BOzXZE6GcsD/MfZ+DaYKiNjlzD7cjDwcbNplXfeOxWUmUdJtf7KqkvEj723z1IGAU1cl+AkYhRGSnpAoIxDZIGciVsgThmRSweP9z7HsZ8sgarL9dKARrjHC5NOyTLGTcSqIE0FPqX6lM83cNuael+JrD0+n9OKMZidPTuQdVgJn0rt1J9xxrZvgpVSK8GM+/XXNL/7uOFvHJJtXGe7ZK7BCMDOT0uyAbgr0aK3F4lKXhWbKSLmKkiHb1se86YZZjl7O+NaBNdQmq1R9V8GD3FOS36VYd7F1Pu3VU8Xhtov2tSXId1Jwuya4oTvFzJJBw0IxoWp5m9kwuJcBfEiaDALNYp7eCr2th4LJ4rVMkcoN0Ywyw2/+cY0n9pfcm0o3DFTIIjXIshkuRcPsawLMFUw+LMNXsuZrK5iDglkBsuX22WEbrWs3K9KFWZaRSdegfN/NMT/10Sa/9Js+USpdI6qRZMJzLJ7nqF1dbVhuvJaZl/+/eF0mL/774nvL3AQlhSWVLouTpG7Pz2LLw6KhOE3d2OrYy/CUzmsRxbDPYozE0CxF4/57pQzloMebrmvz219JeOyQ5d4soxp6oH1G6z2MiFnspGilJZ6n8FXImgmPG3a0KZfm+fdfj/n6i6sIqbBu1FL2XI9cZtxOtVHq3IWWwUXvg1PmAPdcS5ufbxPiBs2L/tDL/rySFd03w9p6GbiHQb6MuQez817L3I7RtczBLnPmVhlapnhBwqPPe3zxiTJR5MY6F9NutXDzxwcbo762crnc1jtA8UClfBuv/ApjUQGg5eB2pXI7zN52sHGVNApljQN53oFfKqd88L4uDz/R5RsvqFyquA+X4vLjRUAvDXll83WYHLvsJlRFFsUuBz797+gqpsWEWWEE0jjP0XDPgBUyH3Ikcn+SxE8lnlaDhEB+PYVw5yLLJHHiTH+ZdT6bMChTr5T4pR9u8fX9V/j6s+NML4Zcv81j7YQmTsCTGfr5ozXazZgNU5Zbrp2nnTT4o6/5PPHyJFWl2TUF1dDie26bjCixNDsu7xin7gPIPvs6aeHpogtf5PO487ncBbg9NxfQ8wZTprQmt7TCSiegXpH+G7C4GWLx5SdnWJbIZfIk6xd1PC9hqQUPPFXm2JXQleQL7Z2zd7FH5MphoCuLPIPgUgwB/T+RDC8I0S6vGL5Gqqwo/DjmNv2UoRTKDdqRmiTS7Fyd8N572uw74tOIByzu9LgLFVWRvuzLFNGXIYXmL9A8MGMtDyyLjizRhzn0t33EkIrBbHc3zm/oZs23T/QyQaJlv+l7mLRkDvA41bQ6Hs22ppe4fHngGSqlElNjJT7+liYbJhf4/GMlnj9Z5eZMceNewf/X3n/HWXaVd77wd62dT65c1dU5q1uxlQUKBJGTbYztMWCP7cFh7twZzx2n8Z3xjOfiAfv1OLwOY2wMJplsQAgQAiSUAwottUK31N3qHCudUyftsNb7x9p7n32qG2wwGOP77s+nVNVdre6qU7/97Gc9zy9MTmrsdgSnWvDEM5pnTgpOnR1hqeVzwZSgVhKUfYnvmXm1JaHbVxw5FdLpK2zLnMgtmQHaLGKctCo7qemlm7Yjxg/QSk0vZS6By5U3FgP1TUGJM2g/hvtu8/HAuzqvAHIwNbEKlTtrTSyZ4NgRipgPfrHEX36mghbpFy/S0SAURoPDnBhxHqDnlTsD+bfqwfXw0/7cWXixTTlXypZPU7QBuZISpS2UUsSJjWUlvOONHfafcPjLz1pEcdr7YdIzQiGRqhh2Mjjs5sDO2qXCRjP7QOc3w8pKToEsp9LfkAPyWWbfnEe2pPGGtiK2JVGscumgbUms1OtQa1juSA6dtOn0SLFkEXg2p+ZdGpUyF63psvaH+hyda1NzzT7H9xLsrFcuCQcrKrFuDMqzIk32FXieERf7ribwFNVyj9seidl3wqHipeaVuXJd5JXbLhjO25ap1rZlbhQ7T1nIcnMyxXtBWlYkS63sua1BO2JAn2CnNr92XsnTdsTOWpJsHZ9gWRGOE7P/lMVn7yrTXnaglLYm0mzXssVOHmddcODKFjyDuffwx9kv/r4lD6yo2ENgL2w0M4ZhKjoosgyH5+ISqWzCKKFS7vPGGzvcdm/A/pOpiaMWoCQKm56Wg3l3OvvWclCldQHwQ5JDyD9XXPHrc+AORV/EIXakHuTXu4kR1kSxSXpwUodd2zauDZ6bUC33eeS5hDt3axq+iVo3wWFWmqfkEHgO5cBs3CPRphc62KHARtiM1uAlu3rMjptdrJTmtBwnxh/adRLKfszESBfLXuDzj5dphWPU/CSP5HNSwNqWTN9nIBfp78nU/HLwZzPTy4EhTxHgg8mIXQR2Hqmh86oth36d5Ab8tl3ImMlzZsx4sB8pvvJQmTse98G3GCRNmEegK4qkqoHnSJHcX1Qcna8H/3av8yl8lMIw97JJyspVfgpsKz1wKpWgpE3cT3jpxSEvvarD0S/Z9BOBYZUYZooSgp5ORx9klbl4k6X2zsWPs68tk7llUxWZLYf00FPJ/LUq7eMHvohJ5mabgttJTFGMk+xN4ypzmzmOouSFCHuJp4838ESZqaqi7IHrxFhSECaGZWMJ46k7WlesWidYVbawZTC9NOLN3zZa775ByDZKmDusFihmx0yKrufG2FaPo3N9PvpVny/eX2XE0Xkqggluygzmh4GdmV4Ofo/cALPo7JqLE4rsv6GeWxXosCo12R+YOObAT9uS4vtsNZ9tLC0v5u5veLz7/TUS5Zg7TWTTk/Ov5XNDnSLI5YqRIQyDHc5/wCwAugjsvH3RBlCqUEFNevBgfZ8oiZQqB31xuymVIoptXDfh13+6xb5jDnc/bKG8KGU0ClCYSp41KoKc3ZmrbGTaiiiNzqVsaeuUgdwyc2+dLYcsnf851GDcab4f05Y4iTQqH9uAO44htkmVXpYJGE6fEJal6Ycur7tqmVb3LJ+8K+KpU2VcaZvWVyZMj4eUA00/vZHmui5eUL5t60WTS/bxp79w2pLWO5/oTL3h4ImzLEcOSktWj7d4x+tPs2pcc8dulxdOW3zlsRH2H61RtR3GKgkl1zwufEem/XUB2HbmFZjZp2Vm9KnDlF0QAxf67WGKqyr03moI6MXEgUFVz4BvkgUG5Ko4n39LK+HIWcl7Plfm0HEPAsPdyCYnUhgudbaWX8n7PodvUmhAh4x+CuBeOUnRK8A9AHlGIS6SnApVW5G3KcNr/HQmrrOxoUIKmzhKWD8T8Y43tDn4gsPhxfSuLHyVOciFQKXtiSIFbXaTyfSGk6CtdInD4IygrWzCcu5BOYv0HramM+2JrQRxapgap9pKJwbXkWlyn5nOLLQ8bKvOT76kydXbz/K1x5c4eMrj67tLrBkNefurYqZGSmit6fYVS80Sz+w59M5nnjpw2nacFo4DS22NSBqsrdsEnmDzuoiPfc3m8MmAhw7UaHcDKrbNVFkzVkko+4KSJwg8kzHp2IM+O7NOy4x4bDs7fBamJHb265WysiKP5FxAW+er2oWYb5NEoPK5dwZuKU0FT9yED9xS43N3ltG+xIRf2SnI0xS3zO9kxVjwW40HxQoFz1Dh/pYTFZFPI4p+Iefrf7MKrlNg5z15YYWvhERJi0QlSGmTdBVvurHLMwcdfvevHUIRpWdKkbfICpueECSp6MLVqdkPGAs3bVh9Kv84/VpSCoWp6Bp76Gte8bWrVF9pCRJLY1vpQdMSxJYZOdtxJmkURI5OIxbNTRHHkpGazZaZDhev77Dcb/LkC/McPGnzxN61bJ2pEHhQq/QQMqQVJgZ7aycTLAmjJc1F62DTqpCEkOPzbf7itnGOn6wxVpNMj2jqvqLsQ+BJU7ldiedK3DT3JqveK60cstl2pnx37BVjQCvrvbPeeTD6M59LUn/qQf8ts9zGHOzDOY6DnjvdXMoYaSfc8YjH+79YppekIxw5WOxk1XtlRlAuSUOfMx48X0UX3xTXwyAfTCIGC5ahBVAB2Of03rJg9SaN6j2REpmBXWaV3MJ3En761W0eeMLlq4+V0dlhQQ7OgUpYhEgSATECV2tcLUiEkXEanrXGzi2WDUiN+1UKbou8Vy9mARm/8TSEVgnsJE11s9JlkDUwb8qGE2Es0jfoR5J+KOmGNs22RzmoUCv3uH7nMusmezz4VI+n7nNIYod10xbjo+kmWmvsft8cPJQKWYqWeeJYzJ7nNQ8+U0WHPjtnoeIrSo5ZtftpxfbcNH6vkFxWtHE4H711APQCqK0CoFfQXPPRX6FaSzmo4DL/9XBAqZW/T6cnMsJyYtp9wTvfW+PgcRe9AtwIkaa6DQTF51RvyfDE5Bxga4SQK5C+cn8pzkH4+UCdVXE1VBEzm7UBNyWbKxt1jRoSRCihSLSNCBUbZmL+759p8sCvuix30x6M9MypNAiN1jaxlCggEoJIm6eZo9PXRmdgNxU90aaCD9qP7NdgZ+v6VLicZXTaaR6QpcyBcmDsOWzDZ6fuaT1H4vWh60r8rkXLswk8l3nf4+xiiXqlw6+8pc2Dz3Z55HnDWhWiTuDYKK2wV01PUvZs9h5pceu9Cf2eRWDDTEVQMiaq+faxGJrqZm2JPbBLy81v0uWIKJji5NIyWajauepmIAYeXtIMAF7MabSKOYyiAHaRZTOqnLNgyRjLTogS+NNPNyUkQwAAWuJJREFUlXl8r4eWxQBaK52ciMJaXn/T1uS8HijFliXruYfer8D4OafN4Vm4yph8eetSOHQWevBBSpskUSr3LhkaIyYWSlholXDptohf+pFl/vBjNcK4yCMwADcSeQulJaEQxFIQCoGjDZvSVSKX7Nl6AHglNSoFeqJ17kyrUtsHK7V+sK30SZCYIld0KRswM4ft+EzkTLYktPBciedYeI6D53r4bkDJb7B5KmbH6phmJ2Tv0YDl3iiuFWFvv+QNlMsVIu9JLt7/BeoVN3U01cRxSniXqRehk05LnIHXdtGAfcgTL/3B5xk7BTbg0IQk22DJAcgH7UmyotdOyPIXRTH+QhhAD2LtkvTPpr23n/DVh3ze96kKzY5tBvciO1ymBHtRoMSKlIe3YmoybM02LLQ9B8nFIfiKvuX8c+/swFncag6Abqp0kXRF3qZoSYGbolFColXaj+cHT4taEPGzP9zm0adcvvKAhFLxhkt7CpGkB1ELpSShlESp/MwR4CjDSXJFliYNsTS/b1saR6ZTHkun78HWOo9GyThHSfrPZPYWKwtFLjRPwwwcK9t8D4YZlpSAbaYwiUIT48g2N9x0BZs2X0S328Zuhy6O73GqabPnaJ83XafZutrl5LzFYstNSTIDp6ih/jmNlMvHYjnls/BzTb8JK/2ztizMt+0kn3EbElTKGbHT8V6xt85bj0G1znkPYhAjLYqVXCRIR7H3BYc//0SF/fOO+YmsqN5GP5g6tGbOpudbya+s2NmkRAx3JEMLHjHAz3kPmsVGnPO3KVkFH7YsW1nFMxvkARFLyhT0wkJJCxUrNo4m/OKPLnPolMXzxzy0nVVwRe7kI8zWEyFBW2ghiJHEwqIvwVYCV4KnB0BPpMZR5uAZW+Ckxp221jngbSXyJ3rG+S860hZ5LoMCSVrsDNidwghaSAhDTbMdcWoBtq3vcuOlC8yMx1TLNp4tsacbmkpFsWlKcclaibQSeuoUJxcqVLxRKoFIg5mGZ9RZL5yNv8xJWeZxdGoQCZOKGBRD9NZiazLE007fpxtImdJas8o8APcgso5M9CyKcdIKy0s4uWTxzvdW+ewdATrjEmTgJmtPOMeKzcy5Cyv58x0w5TcB/crCXaySK3rwlRV8pRgiO6zJ4kGTwnZTnrvxNG1KCvKhKq6wbM2bburR7Ep+7Q8kp5cwYxMAnQG8OA4aBrxSFqGwCKVFTxiKtK/AkwIvjRl3soOlJE1R1tgZyNOeOynQHiA9jOqBV8pAjJ726CKdxEnyDbljSXxPMzPVYq4PoXLYs79GY3WA23DodBzsVZMRwhOnpsa7t/eFdfN7b+2zZqLOWMXn0s0wWouoliM8J6WaygERJmtHsq1nGFn5W6xERhXOg4cGhKmV3iQqtU1bsZix0hbDMsnJlkhwvSQNmtV576gTUHFKARUACmlBX0tuvS/gaw/7hmuS8tmHLGARWLCC7522VSsOk8M+2OcCmwLRaogqW/z1Cv7JcCHPJikiBXVxY1io3srwnnVhkqIlgyquVP75QaU3QBeJwFGKl1/V47XXeXz4S5IwJnX7YbAIitO37DGMML2FK/KtbyxtYmkRpnlBRaC72oAx0eaQmqTVPElJeQNeT0EUEZvpSS82LmiKwcY4j3JPhxS+o6n6CbMlmy2zFa7a2WPV+DwvnKlxdjm6vd70TnXay9jSv5CH7/vrQ+WS+yeXbF1/88KZI2xaU2bjrGLtdIeJRptS0MNzorTfhUGYkCGkG5Mam+VewPxSALiI2KxmM+V5kSVmHFwzP8AkJT+l3oC5ICHNpfQiLJEAihjFHbsd5pp2rg6PE9g6m3DRpjjV/oFOIERwy10+v/vXFY7NOebVFll7MngvxbCKW4psoa2HD5TfdDyY9Y9iqF0Zak++1ZVVbJ21wXoA7CKrMF2+yKHNZrpGT4lXssgZJ52opE5U2XutJUmoWD2a8Gs/26LZFXzubp8okZAAWuC6igu3xmydTYiT9FuRMNe0ufsJlyg2JkMIGzyHxLLpSpswNSb1FZSUUcMnaTV3LDPPNpk/ZpqW8ek1xs6vHQpOLUuaoSbWcW5ZIoUpQjnQJbi2pOoKE2nZ8dg0GzA/7+DWN0NP/8lTu28/9DM/+WMmo+fQKRfHcVHY7NgSMzO+RK3SQzpdHnou4r6nHITMNJQJQqtUSilA2GgE118ccvW2mHJg0em5wGCCklXtHNTWID04q9aOHafV2wiag1JIp59w5Izgkb0Odz3u040k9z3usrhkpRXRkOvXz8ZcsDHkxstCXnpVn7VrE04csXnfp8vs2++Yw9SQt5rMq5IQhepNeugpFPmVB83zep/kv6+NMOycmbj4VviGIf71eXxSigsU0kiptFUZeKlItMwOo6yo3CoFd1rhEahIs21jxE//UIdv7HE4dATWrEt4yZUhN17WZ8eGiA2rE5Jo8GRaWJLcu9uhEwnuftzn0b0+p+Y8Oh0XAofEculKm8iyCJUBemCBp80BU6UHTm2JVMRutJ4Zp6fZB+F2eOWlC9xwcZesBRByIJPWCWhlIaXk/j0+zx8tsRAKXjglOLuouPjCiHUzPcIwBNIQqurEhQR+wOEzkvufPcBcs0uiBCW/RrcnOT1vyDrNEHqR8TkRmHGOnYpyH3gq5qWXhLz2ShetHXMgtHXOGTknVDVNULDTBGETkR3heX3OLGo+c5/DQ3tLPLbH5+BJjxPzLrEeANPcbQp0wqlnYh7c4/GluyMuuSDklS/q8+xzDnc96oDPip5y+GOLbzLzZgDmc+0gVgxJin8lha1m/slvAu7iun7lZCWv3KY11ikBzgA4M81Po0UojAYRmIhANXQQLfbvOT+kL7hxV8hvvGOZZ5+zeeWL+lxyQchMI0HHJm1Yp2NDEIxXNNtmEzSKH74hZP+pZR7d4/CNvT5febTEmXkfXI/YMcb8oZaESlJSmiBdArl6cDNnPHopzY2wblLwymtjbroE1kza+fBByiTtFAS90KPT9Yhim4vXCtphm2qpTxJLTp0ps3n7NJu3bqff7w4A3hid5MoLZr6y++E73n3dBd6vPbov4dgpl0BLpkYttk3BfFNxeE7T7NtmkyXNtM23NYEDgWOxcDbg6QMus5OKailOHaOyFIUE10nbDicDdoRjRThOiONGzC8l3HmPw599tsK+QwHNjkc/cdHCBs8qVN4MAQnoCJIQVMjJRWjeL9i1NWbr+th8d3GxXxh+G/R3g5ZErAD6N9VdFj/O+/HhcYr4FuA+H8jPMQMq8j2KC5/iyHCFfrP4+ezgaQ1UmEPfu0gr4t4XLMYnEm64pk9JK5KeJEpc4tghSZy81QGwUhHweDVmspFw5ZaQf9Xpse9wiz//bIWvPlpmfiEgcV0i5RFbDpGWeRJ2onV+1rCESPchUA4Eq8YdJiujNFtl9ocRvhfjpmFgMr2p212fo6cqzC05uI6mXokRXo8jp2L2HW1g1zrvvuyaS75S5aD5egH+6k9/n3JVRirpbl7u9l8X9mDDtM8F6222rpXs2KBYO9Pi0AlNElvUA03d04yUFI2SZqwCUyMWU6MOlZJN4Gk8V+G5CZ5jgO05Btiem1ZqN8R3+3huj14S8qk7bd71oRrv+fQoe09UaccVYquEcH2k6+LYDq5t4VoWjmUhLQnSZmAZmSBVws4tIb/+r5d52bUhgat58CmXMEwPmDLlnKQbTClFOtNNT/9iMNfP9KEDAfRwwnIxrybL7MwTKIrvxcC9S6Re53k/L4cnMsXAraGlUtF/pRi4mk96Bi5bwx8XFmBZ0nA6QrUczXJP8s73VfirT5Q5uWBx3c6QidEEFTuEsU8YeeYtdokihzh2iBKHJLGJYoc4thDYlDzJuinFS6/pcvmWLrYVc+gohJERDMdCEqetUV61RZZMbdilJU9QDmw0DlHsEMXGmi6MbcLIIYwctLY529J85h6LZw9YnJoXnJxzWGj5htrtOsRx/OGHH77j/iuv/OFBBQd48Q1vwvN8Hv7GfdTcR9i6NqTkh1QrHQ6cjHhir8Nc06cRmPBX1zYbzsAXlH2LStmmVrEIvKLLlLFG82yjXHfdCM8Jcd0Qz+mT2CEPPyv4rb9q8NAzZXqhT2J74LkIaWNLC88yukhXDth9pAesvhK0YocuCsI+OzdF/PmvL3HxpghLaH7hR9ocP2HxJ5+skTKBzqmg2eHlfDI0cQ64xDmtyvniSlbOyIvPkJXVO5/9nqf3zuNDihTWfCRoXF1XLoByimuhHSGv4IVWyob3fanEez5ZYalv8cQ+m198V4O//I0FLlgniLsO/dCnF7okiZW/dIM4bjPZiqwEy3Jx7AjfjnjF5SE3XrzI217V5rf+ssGjz1boqpjI8WlplySd1Yv0sOgkpj+PFfTChKVlI8ELI4du36LkJ/hugusoPCdhrNrhgk3z3P24z7PP+dQCm4orWT0e8vpX7eSqq6+n3+vxi/z3YYCPjjYolwLaocvccodypcN9T2mOnnV48vkySRSwdsyMeBBmoxl4gpJvUS7ZVEuSWgnKvsJ3zRfj2gmuG+OmXoae26fk9/C9HqcWEz7y5YD3frHGc0dKJJYPnsmftC2LwAJfanypjWKokEeZLZUipXFCyenIwpMJP//6FhdvjSCSJMBIKeHm63rcen+Jgydts5koYDwHNOcBbLGZWQHoIaGDzHrvVHib6hAHVNlv1pusAHqx92bFwTIlLWW01WFZ27ktiloB7qHFWyoiOHDM4sv3+Sx2jCQrQbB7r81f3BLzO7+4jNY27W5At+8SJ0YIY546RXGJnQ8J4sTGjk2Vd50+118U8r9/bY73fbHLR26rcXI+JnFLtPHQWiKESpdrGjc2C5tuz7SyUqRJz4lJEok8iesqlnFYXHa5clOPyza2eHR/yIk5zf1Plrmw0WXVpKRUHsNxOvlraxdfc8uy93uePvDAXmfjnU9UsXApOQ7bpiRTo4IkSThyKgZtKnelZFEKbCqBRbUE1bKiUkooBzGBH+P7EUHaipT8Hr7fpdUJuf8pyYdub/DpO+q0wgACFyFdHMvCt6AkNb6lcbPFQW5uPyBuCcw0wesrJBFveMUyr3+RRvfK9LVZ50sr5JqLQ66/osfBL7gDVlOK7nR9saJy67w3z7WXnL8vzzy3BzfFIDRrqGyfB+VFMGdPJGlyWc8vFdNZytmAl5KLHdJFkNKDGJmigKK4ThVSoRTc9YjPg0/4pl2zHBA2fUvyibs9Nq92eMPVLoutMp2ejdLmyVRUUQ3GvQm2bWPHZnAQJzZxbOPYLltW9/kvP93hwvUxH7q9z5P7Q+aWK7SdUtpamrGznc3GLYUQSfp62AU/dEEZ0CgOn7RIkhpToxW2z4RctqHLK3Z1CQJNtW4dKJWs/aE1eJ3zD//kj/+QH3rjdQfWzVQmVK99gwx7bF8TsHODxSVbNBdu7tKJ2zz0jKRRtqmVLSolm1rJolbR1MqKWjmhVo6olEIqpZBy0Cfwe1TLXUpBm+dPJLzzb8r88cfH+PrjI4RuGeEHOLZLyZbUbE3V1pQdjW8bw6DAMWJ3z9H4DvguBC6UfEE1ENQCybU7Y37mtSEjVY9+5KDTUz8K6o2EE/OCex/16Ud2bqiJtLClwBem/XFSbrMtB2/FoCur2HsX+25ZCMeyBr32UK6nyHKGBj34ygPsSp7LytZnELxaIILJwbJN5jSDQQR2tmAbcOYTHCem1df8zecq3PVoGUouSB/sAMfxiSKffUcqlOwSkjLLHYd+ZITLWWbnkBY0PYBm9ACtJIp0cxpbOEJy1Y6IG3d1WD/T58BhzZkFYQ6ewjIFIn9KFsZJqdiD9AwTeJrVU0s8vLfDg09bnJ63OLtgM7cYsNx26bGZ0Nrxp88fOPpX27dddf4Kfqbp4br+F33fef2VF9qXrJ8OmRptc2qpz2MvJNy/x0UKi8CTBtxli1pZUy0nVEsJ1VKcgrtPOehRCbrUqm3ipMdffM7h1nvrfPnROlgBVF0sy8a3BCVLE0hlVr2WaUmcVCDhWBmxy3hEGysK47Pie5Jq2WH7OpvWsuS07FAKevhuH9KWQfdjrt0WsXlNxCP7/KFu+LwjwPz3hlfzWS77cC8uhtqXnD2YtyeDsaT4JmX8nLFg1pKQrufTEWFxZW8q+MoRIIURYLFlGTwpzNpb89xhmwf2uqlNhgeWh2c71B1Nw9OMuQ5P7bOJei61CgSuwnd1msCXvWkcOyFOJE5iEScJjiWJbYmjLGLLTuVn5kA6Ve/zM6/qs3Zqjlvu7fDeW0fptmqokmcOoFoVpG2qkORnI4RF4EuUcnjRxctg9Xn6QIlnHg+YqllsnJVc3VC7t66VX+x0hs9ZVvEXH/vIh9h54aYjcaKvHK02Lzu2sMhTR0Nuuc/i3icqRN2ATVM2YyMOIzWbRlVTryQ0KjG1SkSt3KdW7lErdxirLxP4yzzwTMJf3FLmjz85zp5DIxCUsTyPwLap2FCzNWUbAlvj2aZye7bGcxi8uQLfMSp/3xWUPIuSb1Et24zWLCqlVPBs65zZmAshZMLkSMRtD/vsPeSB7aSWyHZqzUvqyLWiahectgac5ZUfr0xgBinlYHJiDSYreSLwSuZc4WOGWp8VFbyg6s81oiuquWEiDPzah2R+KT/edWMeesbmTz9TQwkPbB/Ldqk50HAVDV8zWtaUffM1gzWQxxUVRUNuW8WlkkmkUOnWVCkLpS2i2AB+6xrFtTv7jFX7hGHIgZOSbugQC4vMTX/gsls8hUvixGXdlOTSzRGbVndw/YhyqUcYB8yMW1947rkX/vQ1r/v5IYDbK4vKtbsaWJbg1jub7N2fsNSWqFiwccxiatRitGbRqErqFdOSVMsR1VJEpdSnEvRoVDvYVps9ByP+5nafrz1a48hclVD7OFULz5L4UuNZCs8CVw6qtm2lYLOzCi4KKvzUIcuVeI4k8CxKJYvAN9MapSGKjd9dHFvEtoWTvrhJbE7qK6cow4fGQs99nln4AFxpONZ5jEOz4Kxify7OX7gHh0sxmJiIjDmoUvthnRlZFgwtFSihB4oeqSnaMaAEaCPVKVbwwYNLG/9HSxInhjLsSkFgabyMSSxM5Ei3n+CkfirG6iHLVlK4jjHuSRKRE+wSpbATSWIn5n0ise2EOLGwY5sosumHHr4X8nOvDXnttQt87bFl3v/lEZ5+YZTjoU83sQjTNLYoUUQxRLHJ+OmHFq1OnZnxgIlaj1deljDXTJjr2LTEWkM8X3GdA/Bdl78aKe1QR3/LjlXHuf2BBrWyy3jDol4V1MqachBT9s1hslIKqZZMn92oLrP/eJ+/uMXjrsdGOHC6Sl8E+I5FwzbuDK5UA8+RPPZvGNi2LFpLZOBOxRYpwH3fIvBMb25b6eogS0PIzOK16QlzFK24BtMTfU41FSvALc4L/JUhtaJQsbNW5bzNyTBjMPXIUdm/n7JXs3g+A2phzC1TcOt8qjKYppCKlovJZcYSTgz/ozldwSzPjMjaeMCI1Ps7TjRhqOlZCVKQgjxTFMlczJAUXW8T87NSSpBYJkDLTqwBQ1Q6WFZCP/TwnIjpkZCfvLnPDZee4euPN/nzz42z90iDTtlhLNb002S2XqjpdBXNZcn8ksWZBZuJkSqNasjnHuixYcM6/s1bXx3GScx/+vsA7gfTeH75V5vRxgvueuLEjY2qYMdGyarxkFo5xHEUArBtRcmLqJZ7lIM2MR0+/6DgA18a5Y7HRsDxKQWSsbT1cAsOrcXlSQbw/ICXVW1rAO7MCSsDuO9KfNe0L65jeOpS6sEGsLjVYxCeVyzdQ5xvCpMSzhU5yPzQt6J654fMbzITz1uPcyGeEWczIGYVPAO7ABKRjR5XTk4ytYzI1/W5A20KdF38eMU8fADy7HvTQzN7pbNkNEU/Muoak56W/d3kLMasX04S83PKfBMdWxGrzIhJDkXdSKnpWgl2N8FzI6brfX7qlV02TJ3kfV9qcddjYxxplWmFNiOhotJLi5gwNI9qIJkZtdm2XvDml3jMrJv5+tYNs7/aanXOeZ3PA/AK7/vo51tal/etmii9+MJ1i5YftCgHbUp+F9u2KXsejg3VUpdO2OG+ZxL+6gt17nl6hDgq0ahJKo4msBWuNbBdGJ4nZ0kN5ButzFpiAG6ZKojSjx1TvY2EzjhiZQKMzKxxwEc9T90sbF8GGzXSsCSVTzJWKniyij3MWRFDrUk+Kck3mBnIC0Bn+EGSjwjz/6S40wKhtQG8FkilTeeRVXGVtigZyHUh9qTgY6gzE/2hUaE4/8uSP1lMixQn5AGu/Sg7QxhxSDG41nDNMUkdpF+DrVLmYCqEtgphZdkYNp3u2LbCdXx8r8QVW7tcuqnLg88e4T1fqPPY/hFeaJYZ9SW2pSiXugQiIowc4gXJ6SWbm8u15IY13r7jB29pzW58w98P8OyHINTyL21d51zZjZYu/eDXPE7Oj1H3BTs3Kd72iibb1ixxaqnDb72vyi0PjaKiCrWSpF7TlJ0E30kNfeTwDzc/0TPw+7PlwGHWyS3fBvKkzI3W6PEMuD0nO9WnAoyiughMOczqdw7sgSeIINWNUlhvn7f3LkSryGFg50LZ87UoK8Z95sFR2Cimk5Lsq8pAPpjmmOqdG8unekeRA1mjCpzwIeGDKlRwhqct2chGaJV/LVkQb9YuJSrz9S4GC5C3KjCo5DptWXIlkZ22LrZR8CRSp5HiK+m/psgZIp6L5yYsez5lv8QNF3W4bmeLL31jmf/7fRMcnxtl6yp420sll250KJciziz2+dTdFeaWy0+enmv/0tR4+XxQPj/Af+YnXsdHPvqJJPF36ieealKVkk1bBPWKZOOsohY0ObnY5398eIQvPDBJxXMZrSkqTkLg6rR1MCM9K+0BsrzxONG52kdIUsJNwbTTBsdK3WczHZ5j1PtOqgd1ncwVq2DQWZz9FsQYiMygk3z3nknUMibh0Dgwd7AaPkAOVezC9CS7CYbALhiK9T6nambgTreDOr3ZkZDuOUwlTwFv+m+d9uCpGqYgchiYcoq8hRkofGQKQFNtSStubE6kafWXJFqTpDdRlkKceQZaaZqG4f+DMDls+ZPS3LAy/bsK+fNKo6y0r09vzDgxHidJavWW2YgY7lJM2/VY7vhUyj1ec0WLOJznf3xY0u2M8PS+Mp2WRaMKEw3NFZtiLr5kk15cspLLrnzD+aB8foADvOWNV9Lrdz+mOk9s3b6uWfYDjSNddqxvshy2+IOPjvDlByeYqVuMBgmBaxYznpt5gJu2Qkrz04pilSbdkpPopSj6gg9M8fPe25Zpm5Ip+gdtiZHQFXwLU4+U3CslizWUilOLgmbbZiC9EkOusXkvLodBnUmlcmfZfLmTfV6aBVCqF8xGhZYcnpMPm/kUvE8yIA9WHCANw4+8ikOSPmESIZBSFwTHxhxnoKZnyGp52EtF5mO8elkx1Ug4Nm84t4m20ilIJlCAWGVWahAlGhmpvO1CqPQLHRxki3QD0kOoRqEYRINHsaTbt2j3JFGccsJTlzPPUfiuje8l+K5Ls+NTLwfcfHmTmCX+8FM2j+yv0AsjLDvBcz3Wrx1tj8xc9THX878ZjL85wO1gvb7tts/+cX3iwl96/vHby/aSzRVbFTEL/MlnS9zzmImOGKsk+O7A+zvzTPFSmwnbNj+kbk9zIozQOiLrgQeJDgMfjIFqWuZ9d+ZE69raVPDMS9zWeahrptQf+KUYlyvHVXx9t8uzB9xcsiaEMMljhZny+caCg8ouhnpvq9BnF2ffmdVB8UbJ2oCcT5LxuHV+zCw8vjMhACmwBwfWJN1iJoqUq5FOU9I+vBg9OJSxqYd/L04kOzZEvOTSHh+6rQKeItY6pbNmxKf0feqskG9w40EVzx7BeftZIHSZ1kjlzVdOgZAmuuTsgqDTN993ZgnhORLfU8YSwlV4jsNSy2Wk5nHThUvEcZM//4xkqRNw2bYIJXpccek1c4tnn/3jl730dfqb4phvcV1z1Sbm5pvced8Yq+pdDp5q8an7yjy6p8b2KclE3cyjs8WHbacjvNz5SuN7Gt/VOHaItDrc/6RH4GlcO612qc3bANxZeyKxU5sAOwW1U6jgg6iUgdZz2BzIvAk7Yb5js9wreqAMew8OnGP18MExq9bFiYk1WNUXHZmMTd1whc8AntkFG52GmTwkKotPNDeYEiLNgzf/U5Gsld9oSWFUqAoVXBZsJVQxY3MQd51L2bRF2Y8YKcWmPOuEWEGUVW0liLNDpoTYMj4mMi7IFAs3f1bJi5yXLMVNSGP6A+bnVC31eeZQnycPODgyi7RJp2Kehe/J1Kk4c0fTnFl0mRxxuWZbE97Y5onnInr9Gts3+YxOb8H1a98Kwt8a4LXGZF+r5V/40ZunPvHw7ifKt9xdIo4ddq62mRm3aVTM3dePBN2+iQcMPEHZ15R9RSVIqJRiGrUe5WCRTz1gM9f2mU6JVKbqFa2WZR5QZWeVOwe3HkxN8t67oM6X5zpguW7MsVPwwJMey5FjeqE0WCpvUbIt4Io2ZSXnxBLF94WE5gzc1sDZqzg1Iq3e2Ugw1kZmlyiVK8dVWqV1Kk4wXBpyoMt0Dp4IjVSkPbjpw2UR0HowprOUyluTzOlKa0kcGyBdfVHIJ+8OObEUoyxFX1tEKW01b1GUMcQ0Z5vBODEVvRWQUvh6GUyNLClR6fLFthUjtR6b1szzwTumGXFsRspG6FDyJGU/IfAtfM/CtgX9viKMFI4Dp+Z85pYcNk11WTfR5ZZ7lzl0dmt7tun8woaJ2f53DPClhb4KStsent3oNb9236HySFnRKLmsX2UzPZ4wOdqjEixz7+4aYVSiGhhGYa2UUCvH1CohjWqX8cYSdz/V48G9axixM15ECg6ZtifpSNC2Byb5TrpZKx4ondRi2VlhPVE0B8rebCfmdFPwwiEXIgs8E03irgR4oc+2xKCHHv7c4BCZV29pzGeM0ehglp/Z18ksNluDiI0vttKKKFbGqCbjWKeHWNNySCxLIdJkhHOWTxmoZboAUjoFtenF7ULFTpTA0pmNh0wpqBaBJdmwNmKqHnJiLgaVECqjo8xAbQx9zBknlmK4COT+Kapwfh720BBp4bCTdLafTrV2bU3Ysm6ee3ZPsKonGS1paqWEfqioxObJVi3ZhCrk3md7VD2Xybrg9LzN+lVlGjXF1IjDG19/Y3Pd2rUPt9sL6lth+FsC3PamcH3n7FJLv3l69WV37j/6kHPJNsXWtS18b5nDZ3t84i6fpJuwdlpRKQlGqzEjtZCRWo+RWptGtcmdT8T85vtnUJFPqaQG0SV24WDppBW8YAk3XLkLbrQrLJbz9iRPMDYcZZ0k3PWIy+5DniEWCSt1aBpMXAYg18MHzWKrsYJ7MgB3dsAcEMIyi7rMaDSr4rZtliFxrOn2EjPF0MWbx/x/+UkTAyKBwZFMzE2QKFPFrcSAPNECS2VLnwGoh0Or5KBl0RZh3+bidV1efHmX3YfLaBWTaIe+EoZjnx0wU9cqWThTZL10DvLzVHLB4OkXWSKNDJT0QptaucT/81OL/OZfK+5+bJzFnstUqOlHmjgxdNlKyWLnBs3m9Ut88SGHZ0+WOXJWs9ixuGxrwrVXXh75bvzm8bH62fGxMt8Sw9/qk5Wyy4GDRxib2HTsql29A0l3z7YjpxaZmFjkroccvvzgKNMVlwvWONQrBtwTo32mx5YpB01OzHf4+D0O7/niLMutCrNVEwbrORQOjiKt2AO/Q9cppD/YmdFLoYIX7N+KOZiZSt+yjI6vnygOHHXptF0omx7cEcZBIjf5KWxVh8eChamJGIz/rJVAt4ozfJ0b+2f20MXIQyng4HHFfDMZIm6ZPydwtEDnfAojCpBCIpL061HkLUnWpliqMBdXmU+hNm2K1gNbZcuY4ytl2pRqTbJ5NqJkR7STCKVcesqIy11r0KLESmOlB0+RZIzKwYpKaAlaFRZYKcjzKi7NaxJatLsOC3aZ8brif/5si/d/uceXHxvh6NkazZ7FbArwwEtYbrvs2DjKNW+f40uPtrnnyRLT44IDp8bZdd2FB7Zs2nzs9KmjTE2v+ZYAt/h7rl/+j7/C00/fuSSE2N1s2/96/wvHeeBZj6efr7Nh1GPzrM3aaZvZyYS10x1WTy7iuAt8+h7F//OREW69dxKXEjNVTSNQVAIIfEngFuyXXSudwKTgdgbgdvK2RKdreZXTNl07VQ6lb0bQHOI6IX7Q54FnJX/48QZz7QAcH2nZlCxhrAxSlyQns3UuLJqs9PczO9/MMszKvc/NDWkmP+RPJMdJnziOxnU1vqcIvIRKEDMz1kPaTW5/DE6ctbCE5jz8r5RRWGQeDm9Di3zyoUlPxiQUBUZlLi/L2IY6ZyE6MmG0FvPoMzaHTrlgWWhp5wak2Q2Yz/WLSy9RoP9mc/7CEjlbpBW/VtL/RytJnNhUAoeX7Qq5/qIlYtVn9wsOSx0HocGWJlyrF3qoJOCCdbBuoke363DFrstpjNR++MALzz4xNbmG3/u93//OKzjA+nWr6HU7eH5wYvXUXXefPPnU9cd3J1y71aNRNczC2YmI9ata+N4iDz/f40uPBNz56Ajtdok1o4q6n1ByNSXP0F0D13C5M3AX1+9O2pY41iDleKg1KVTtLHYuN7tPPcFdJ6bTT7j9/jLPHfXT5GIbW5gkZjtPbhj88FdaRxSnKNaKQ2Xeh8vBjWGnTxY3vRE9R+F5CYGbUA4ipkaX6etFFrpjnFjycayEsqdRLoOZeA5wla7FU0AqgaWMYaWUYCnTzw8quB4selR2yNT5x4lSqTLGVPEkseiHNptmI15+XZdH95dpxS7acugpGy9Jv6dkIBOU0rRJOVceBiv79ECbyhTSNb7MVfyCLJ/HJk4EYWTR7Tu02j6zIx3+3RuWuWDtSW57pMbegzW6xx3COKIfas4uOoycGGXVhENfBziVC+6+8vIXneh2u5RKpb8Pvn8/wAH8oMSePfc+7/vVP96+5bLrVf8eOiE0aiU2zvRZM71IN17ig7dZfPbeCfq9EuNlyfoZswAyvG6ZtiOFmblrDa3fzfKmkNlTSITI8nly2+VCXODABi5O3bJiHttn8fGvVdDaActFCGkU9AX+iyy2JkMq+WLvnc3AxdBhM5uWDKIPB0FarqPwXIXvKAI/puyHlIIejt1HJzHLIbT6YtDTigwuwxvVTAUvRGpyLwoHS8XgLZ1fW2p4q5ko48NdTGFL0olKFDu4XsRbXtLl1ru7PLDXQ6uEvrLoK3AT4zuYJFlisU6nOAKZkEJ5sH5PNGl2Z2YQlbUrBuSZb2UYSXp9i3bPptV2WWj5jFTLvPaKZV56aYvP3N/j419r8NypElEUs44EYfV5/jjccO0uVk9X/vjBbzz4/DVXXvMPge4/DOAAa1dvoVqtP9xu9z+z98DxN50+eYyd6/tsWz/P13Z3+fTdZQ4er1K3HGZWaSqBwnfNTDszXBz0rAOfcSNiyLglGXlq4CWe9chDicaFxDU79zLMHLNCOmHMp79W5vmjAZSM3tCRAj+dCthZUnIKpKEMnoJ1w6AnXyFwKI4Ec6Cn6iNb49oK1zGWGV5qleHaxoJO6IRurOlExsMvT3FDFFqJwlxeksZjpzdXmlCWV2idVvHcZF6kFT4Dd8rZtgb59rG0sCyLfs9ly+oOP/zSNk8fDGjGDkradJWFp8BNe3A7HR0mipRXMph/ZtMcmRhjeyezdlY65bgYmkCijIDYiFJkehC3cR2X+UWfSqnE1GiXN17V4sJ183zq7i53PzKK71tsXAMXbNvAls1bPrNm1baHO+2lfyhs/+EArzUmuecbRw/VRq7+9yO1p6wXX3L69Wumj3HnkxF/+flxwk6JbZOCsapR2vueAbeVbjuyDZ4WWdSgwHONxtJ3FZ7LwMFWDtsyy+LUI+ecFNONMz/DCMcKeeYFyafuqZimWLoIaeGl1TtLT7OKlfp83JMhEhVDLcqwVrOYO5QZiZrkCqdwNrDtGCGNE1ekNL1EEiYCNzGtgG1prCRzXtXE2QE4gUQqE9tdqNqJApmCO1EUQK1XVPHssKnS9kQZrnZiE8uEKLT54eu7fPTLXR496KATl1BK+gnpa5au8HUWY2LAm+X5SAVR5ukoDd8oSQa0XlPmzcIpskD0s6wf07xYkjzU9eScx2i9zLrpFu94TRP0GfY8X6N2eISNWyZvufLKXf8eThweG9vw3Qc4wIuvWM3+fXceftXLduy5+55jr//cPfN8+bEaI16ZTessRqoW5UASeIZsZVtmDhzHgl4o6PbMydx8U6QiYkXgmZBZ1zUHRysl3eePOzEQ2wqR+Yzrof7bTqO5+1bMx75a48jxwNw90smrt1vMnc8WOeet0kXgD5v3ZNU7jy+3srFgMXMoTewtPFmENAai2c6+ryRhliyWcj6y2XN2EyU510QbUCWkeTxGm2nAPMjCycaCWbuSaNOLJ2mysJTaZNonCkua6O9+6LJmustbXrbMvr/0WU5ClGXTVTa+MnmVTvp3Z9rQjHaAgFgbwANIS+PEgthRJGlPnhUpjUxjSzT9fkIvNMaeArPNdh1B4EnKgcexMy6bVwf84utOcss9IY2xcSZmL9nz9fseO3zTi679diD77QEcYGR0kpGxqXdvPHp44x2PtH5sdaPHVdscVk1AyTcHPMMZMUBVStALLeYWHY6ekcSp9YFjmYodeMZLJfBjAs881i1pfii90KYfyQHNE50vEIpqcdOaRNhWyN/d7fGh26sktgvSw5aSwAI38yYfcqnSwzPvldyTYvVOgZ7dEHkGUSrayKu5XDmrz7gxOpeMoRWRgkgJosSM4OJEE1spMFPSk0xI6abGX10py1RRXei/85aAcznhKw6eMjEuU1JaxNLGkoo4drGjhLfe3OWRZ1t8+h6XJHGIpEVfCfy0ehsB8OASwvx7YazpRWnbJI24JU4M18ZQkkmnT+bGVYnm7FLEQlPRjQz5TIpM5DIA+uGTPpdvH+eKHTZNteFjV+za+e4jR49/u3D99gE+Or6DfU9+Yenyizf8zFfuPjB7+cYTLx5rnKQTJmxepwGJZyuiRKXMN0OaevyFOsdOl6mXLZx03GZGaZn0LaIchJSDEM+J6UcWp+aqLHdtU8Vt88UOxBLDXuKOE7LUSXj3B0c4NV8yJkKWjWcJAqnxpE7zZQogX9miyMKiR4jztCpF4fHAPVfmrYrOzwYZqDPy12C1bUpgos3TLCM4JYU+N8nbjsGmUqlB5k2iBHbWd6uCf2GmRC+SrZQkSUxblyQSS5ge3KhrbDNrD10mGzG//tYWdzxe4mzHIbEc+somUtkGVueUA7N9NpV8uQ+nWoJuJPBtSc1XVBKdWmeb18R1TN/uuzA1mqCsZe7Z7+E6Cp3qT8NE4tpgiYRL1i/z7DGX+eUa114yeY83vu5nPvl3d3be+pZXf+8BDrD1otdw34OPdF7yspvDv/noxxnxPXYfijm1qFg/HVIpRzzxfIWS71Dyurz5pnk+dkeFDSMRrmXm4LZlDpYlP6FSiqhXzObTstocOpNw+FSZqFshjBwCzywAnIxHLjSWyKp3jGOHOH7EBz5X4rkjZbRjrBBcS1KydJ48YFvDC57iITKr3NaKin7uVhNDuBq6Uc49IxQ5MVIqw4nOFUfKADwDdwKJlQHdgD2ryFlfnaQLl6xiD26AQQ8+ECfrvG3JuONxYsaOsVl/puBOlfmxph8lbFnd5ade0eR/fcxDWx6htAjTrysXHAlz9jDjXkmprBiZbHLoTMILp8q0Qo/JsvkerTTo108MQavka9ZMxVx76SJnOiFvvkHg2x7lUpcnDioqgc36Kc3ZeZ/H95a5aGsUXbLr6qeEaHc2bv32wf0dAxxgy6YtaK0e+onXX3vtsYO3BUfO+rjawrNjvvqoZsxzmWpYbN/oY9k9On0nlUKZNsO2Nb6rKPsx1XKfiZEWy/0W7/28y1cenWB5qcKLtttsWysYb0jzQrmGOZ17jtumepf8Po8+LfnkHVW6cQCej2NZVCw9qN6ZwDkbE35TemyRyz0wzMzMInP+eDY/HzLYYQjkIh/1pcDOeRu64LY6eFMrDpEGuAPmoMoFBQWFfcFPRWUgVyvaEyEQSiDTNkUIiIVGCLswrVGUvIQfvqnH3U8u89Be4wzbUzaxHoTVyrRQBJ5ktOawbb3m2ouh2Vnkq7sX+OsvTHKiWUUKiWMpPFul1m8mV9OWmrJnEYU+jz01wgXrSoyWW7z0ojnufaLGyZMVmu0++0/4bNpyzd49e5f+7WUXjn+nMP3OAT4xXkPr5d+89rrr9cePHPjlevmgv3UVTE/2OT3nsWbE5sKNFtde1OWZkxIr41GnW0Lf1QbcpZCRapuldovf+7jHR78+zUzVY/uU0XP2QwijQeZPPlVJR4S+F9KPY979t3UeerqG9gMcy6Zqacp2ZgE3sH+zsrhDWdgCFjaCRalZfsAUhWlKYcuXA1owBO6iw1SuQxSFDlabZUiixdAhMckNN4uz7gzcwzdA/ud04fND5kHnZvckSeYjlf7oC7pVI91TXLm9za/+RJO3/06JTuTRty3ChLRNMX/WkoZH5LqSKIbDJ+psWq35t68/w/Tocd79t7OcblfwbEOZ7kfG9iGzl4gTC4Xg8/eVmF+wWFpusGpKc+dui9kRh1op5ppLNvRuvPEVt/h+oCf+Hr7Jt7rkd/x/AkJU1DO7H/pvkxOrf3fVzFRYr/V56qDNjtU+N+7S7LqgzeT4HLc9bONImZr4SHyPQmvSZXJ0kQ9+zeITd04zXfVYM2KIW64zINTn4JYDXzzPjdCE/PUXfe7ZU0O7JWzHpWKTip5TRX86ozYtimaYPJSRg1aswIeU8ytotNkYc8UafFDNB3bFA6HtClsy0hak4GmSVe5hAA9kYFkVT1Lw62woU/AvXOloNTh4ytTXxHjHRJFFGFuEoU0/dOhHLr3Qo98PuO7ChH/96gV80SOMFH0liLMsoBTkIlUn9SNBq+1w4myZM4uj/Oj1gre/4hQLzT5nOpLlnqDbU/RCRT+EXmiRJA6vvmqZY82QR56PuPNRzbMH6uxYLzjTChkbnw7HRid/95577/tvE2Nl9e0j87sEcIBjp6OwXJ5517qZmd8+draiAtvjip19xkbOsnnNYUK1yN5jZaqeoORLSr5FpaSplWIalR6To4t8bbfik/dOUit7TFUU9RKUfbPKN/zwjLCUUmRtMzUpeT2ePqT5m1tqnFmoYrseVRtqTlq97dTMxk59WORgqTNwlso4qcOq/wFNdaV6Z9CfF8E+8OZWOd9DSGMTTLF6w/kreFaNV7YrQxXd6Bxze7chcItzpGNFgW+e+Z5IokQSxhb9yKYXOQbgoUM/9Oj0fMbqLj/z+g4Xbmih+hHdBPqJyLniSWIWQFGs6fUFra7F0rLL/FKZ+aUR3niN4iWXneFkM2a+LVnuajrdhE4P2l1Jp+uxZRY8b4nnTvc401nmob0RnbbLjg2+qtVnf3vNzPS7RqtR+I/F5z8a4K9/w5tY7nW6s6u3fObqyy/VtWqb3fsjvvpIlaOny3zunoBWy6UeQCWQVMuCejlhpNZjZnyJe54K+a33T9FcMmzDkbKmEpibwXflQGBsZUxChWtH+F6I4/T50sMeTxytIYKAiiOou8a8M0iNO33H+Jk79mBqMmRTUnxCFLwEi4fPlSLkvAfPtqDpx1lFF8U2JaveQyBP5/ywAuBZ1dWD6p3NwNNJRj6yK8jfzokfXPlDKkjWkkQSRRb90DJj2NCmFzr0+i690KXX92m1A7bOSl55ZQtUh16k6CaYuX1sZvdxrAlTU552V9DqOCy2fM4uVmhUqvzXn+pww8VnObKomWsLWp2EVjuh2ZE02x6NksMbX9Rm9bjFSy9zuHBTn/nlDuvX79Lbtl3wGWnH3Ve++kf+sfD8znvw4nXVJWsYm556bvdu95f6Ufzn4d5vyFpJYMsypxcVDoJaSdCo2ozWFOMjfWbGm9z9dI/f+fAEx043WF2H0YqiWhJUAitVd0h81xCX3Jw1GOO7Ea7d43P3WXzk9hFiKtRcScPRpjXJQJ1FjGdkt+xQRhEUmTZygPeip8lgXJi2KUPtCEP9trl5Bgupog/I4F8Y0O4GVXtlyCtDh0gz+05laSqr/gU7t/TvGLJNTr8ZIx8zn8vaIa0Gtg2xpYltmY8VAZDm9f7Jl3d44uACt37Dpx0GVB2Rgtz01f1Q0+srOl3DBrUtJ38tVo9r/vtPLfHbH5Y89swEZRcqQUy95bLUdlDaZazeJww9XjgeM1J1ePkN16rZNVt/qaUufs5yjn43oPndAfj4zIV847G94eWXXvveh5/YX+qoiT8IouMcPgULLZeqD42KxVhDMjXaZ/VEk8f2t/mdD41w/EyDtSMwVlbUywbcJd+8BV62xs/iUEz0SanU42wn5KO319h3pEG57tBwoeJqyq5OqzZpe5PCSpsfTBgXvFmKlS8Dhhi8DR80GRohDtoTClYTipUGNxTyPIeuNApw4GwlGCJRDW0os/5cm7V7ZslQWIcX/WZy0pYcTHvAKO7jWBDFg8wd2zL62CSzlcDcFE2hWD8b8a9ubvHEsxWOLru0XUkp0vRi8CNNP0zo9SUdR2J3jY4S3Nz5anZC81/eusBvf9Bi3/5Ryl5CpZywsGTT7jhMVLqsnYlQOmHn5lFGauL/2nXZVe9dmt+fNMa2/PMBOMAVl23j4JFTyatf8ab9l25/uPWl279Q3Xd4GaElk3WLVRM2a6ci1s0ssftgk3d9tMapsw02jsNEVVMtSUq+JPAtSoGF7wn8dIUfeMrYCXgx5aBPnPR43+d9PvfwGG7Fp+5CzVWUPU3J1Ybf4ojcW0UKA+7lFCRRSvvMcjztouUB59qvFQFtDVXx9PcKzlpD4C54Hg7/C+lBM3+aDMeXDAG7kPCQLXwSdW5bU7wyMyMrNdaxLTOHjhJJ3JO0uzZRYuYptq3xnIHRfLbMkVLTaiW86vIlnn39HH/wyYDFfpWyI/BD6NnmKWlALrAtCykkiYIo9uiFFmEsWTsl+a23zfM7HxHsP9jAcWIaFZdVk2WUUmychOnJKtPrX9Z68Yt37e+0TiSNsc3fLVh+9wAOUApKHD25dMvYqsv/7ZVX6T985ukvjfYPN7l0k8MlW/psWdvkuZNN3v2xKmfO1tk6CZMNwUjVtCTGE0WmS4TUl9pT+G5M4EYEfh/f6/DYCwl/8+UJ4qTKWElQdxXltHobNT+pf6HIJXBaaZbDhLNtAz7PMj+gjPOR2ZsVCvigCq6ohgOKrR6algyPG7PWZEgJMMA3aQ/OsD+hIrNiK2ww87fBQdNU8eG2K0V33kpZKeHLc4ynH8BiS3J6wUNro5TyHIhckVpFZAJpndswj9dj3nZzm69/Y5G7n/dZCh0C2ziX+ZGmFyocR2GnFmZhJNOe3KIXSqJIsnFW8Gs/Ps87PyTYe7iO1iGOHTA+FlEu+7zsxpvnr7zqsv8QJku3eF7juwnJ7y7Ap8arALSWmx9cfeN19olF9e6d7a9PbJ05yY6NC+w7HvK7HxtlbqHGjlUwPSIYH3EYrdvUyqanW2obnabr6LSCJ5T8mFLQp1busNDq8+4P1Di62KBRthjxNFXPSOFKnolWCTzDZ/Bdc+OUfEG9ohmf6rH/roizCyVGg/QFSF1tdVY+04PmedfzVmFNX6DzirxNGR4JZmnM5w/q0UOmQMVRX3aIzBc+mpQROAB5UXBcdJOFTNFuqrfrJCZMrNzh1FLIvc84dJou9XL6tPRJ0xtEyjdJRQrpvmFRKiZqMb/69nme+18BZ5tjlGxpBB1pFfddRRxrEhtONRPCUFErS5MOEZqx5IZVDr/2Y0v8z4/GPH2ohBIe1++a4h0/ec2ZsVXX/VqrFX2wVlv/XQX3dx3g2VWt1Fhutt/3Y6++Xn5j7PD/vOveExNIlz/7fIleq86utVCvCKZGXWbGJetmQirlZe58zKPb9SkHdkrESih5MaXAWDR7bpvPfsXhjsfGKVdcRj1N1VM5uEu+AXaQtTqeMcevVzRToxGv3NjC85Z450dmWOoHuJbCS4Ey5CxM8ZA5qN52cSW/0i5OMrQsylRc3+o63+eL479sK5kkmiS1bMvW+YPNpjjnHGG2vcaqwbVjSn6PwG/y4b8L+MzXHS5b3SeObWqxYRcmmXGQttI+XiOEkz8FLCvmpksifuRFc/zFLT7z3QqBLUxgQagJYvP6VQKNkF3u2q2o+TZrJk0MYKwClrsO62d8/sObzvDnn/HZslpRGd92ZnL25t9IlHpfrTbyvYDi9wbgAJVamb/520++V+tq0mhs+P07dx8ZtZXPiy8QLPdixuo+s5OCrWu6TIzO8cl7NQ/scdk5m2BLG99TlLyYchBSLXVxnWU+/BXBH31yAicoM+ZBfQW4TQ+fmuP7FuXA+Jk3KjH1SoiUmje9uMvnHlriiecD6u6gny2eMfP1feFAaVmZ8IIhL0TLOt9C5x+A5OIdUBjvFacpxsXKqGhiZYQPVmL44kXOSnFMOFAFZb5/CSU/Ys+BhFvvqaC1pNk1h/bMF1Fpq2DWOXjg5MoiadLP/sOPNGmHp/jwHQ5ne54BuAOl0Hw9nqu5bHuIdlp89q46vdBMqVzbwZKa+5+ssm7a5uoLYiqVdfPXXBj86oF9t77/wsv+8ePAb3b9o+fg3+r6qZ94MzffeMWHX/PaN59Zv+YCXn4pbFnfpdlNGKlKNq/uMzU+x4fvjPi7r1epOKalCHxtTIPKIbVKl4nxJicXe/zhx0Y5ttig4UsDbl9T9qDsDcBdKoC7Epi/pxzEBF6MEAmrJhM2zfRJYp0z5Yaqtxj2bBn4nQwMh5xcGzq85Cnqb4vg1jlsMqHuir5FnAtupUAlA6fXJLVRi5MU3IlGJcUZeeaFnv0T6UHT0jhOzAsnJCdPOyRAJ4R2T9PuKjq9mE43Mb9OFzHtrkWnZ7PctWl3Xdpdj2a7xGi1xH96S4t1o/PML8Sc7Vi0etDuKbr9hE5P0O0FvPl6xVtefoZjzYj9xxWLTUW13OHpI11ue8Bl/eqNLb+66t/d+3j4ge8luOF7WMGza3x6QxzH8c9edeHshtZS+y+/8uBef6w+xmXb2qyZOc17v6T41N1jbKi7zI5bjNQsRqoJI9U+E402ldISDz3T489uaXB4cZRG2WbEU1R8DLh9SSmQ6VjRSoEuKPmakq8o+UbZ7rkxjp0gtGHvgU5z3YdwNvD4TkUHtsy0lgxMh7IQpsxsqGAgr/PRXbpc+eZN+DkG/EWfvyRLokqy3zF2DZYEKxHYicq5HRnDsNiHZ/eRkcOZm1ELTS8R9CPohRrPVumeIEn/bYvBV2MuKUCm36djJ0zWEn7rbXP8+S2axw+NI5oOrq0IvJj5JYsjpzxq5VF+9IaTWPZJ3v/5MXi+wvpZn+mxBbrJhn5fr/m5zasrn1pa7v+j1vD/LADuWULvfvAD99505cgDt9413t24RnzI1y/4vXiZD90muO2hChOBy/opydSow9SYYnqsx/RYkyCY4+N3ad7zd5Psn2/gex4jrqLqaSqeCUoqp0nLgW+l/bcBd+CZw4/vJnhugmvHWFYCVmqlzOCRnoFhyPReDrtVDVTzRnnk2EkqZihMS3IeyCCMiTQVYUBsGgDepCzrIX5MVs2VMln1g1GgNoff9AAZW6aqGxu4waRFZ2bf+aXRIjX7VEZo0U8E/VSo4ISmBRlsd638ezCvi8aynNTFwLgWvPLqNhdtO8OffrrPx++a4siSj5Qaz43wPZeyX6YcjPKaK06i4mUe2qO59wmb66++sP+iG9/cqo+sui8Ku8n62dHvNfy+9wAHuOTqt/PpT38oaXZf8umdW+56+0NP9N9/1x0nS1demHD1toSwLVkz7TI7CWunuqybmePoXJPffU+FB55p0Fc+vmtRdxQVV1NKwV0JTJxhOdt8uqSTF51G36UbUNuYArl2zLETkgPHHXQKlhzcFGRrYqC7tFN1kgG2Gbn5boKTKo8EmfhXopUAoZCpgmbIxrj4gqR3kyVSCzmZGoGm/6aAvO0gMS5WiW1OkTLlY9sxRLbCUXKFKKLgEU4qfkgk61cpJmdCTixqerEgjEWuxskAnivk0yxMk0hspbxulaq1PIQQjJcC/stP9nnFFUf4vb+d4MCpGlIoLBlhWS62XaWXRBw95vHGazWl+kSnk0z89PYtG+8WcEbhf7sw+o6u72kPXrx++IffyuzE3fo3/9fYJ8bHtv/cm1+5dqla7mPjs2G1zVhdsGaqy2hjjo/c2eOX//cYT+6fYsOIz+ZR8O0ESxjiVOAKyr6kEthUyjbVskW1DJWSpuQbN1s33YAak6AkZR8mPL7P4pln3Nwl9nwytUz5n7lVuUUrCC8h8CLKfkjZ7+O7sVEuJYIotSiL41TBnlk2FA5wKcINJ75Atc0NhNJDq9LQiQStvqQdCrqhoBdhVuSRJow1cWzszkywAHm7MsQoRBAlgou3xeza2kNHilAZTkkYQxhBGJnAqW5f0e7GLLdjmu2EZlvT7Fi0O6YnDyOTehzFgmOnGxw9NctFa+v8/i8u8KOvOM3pdsTRMwkLSz32H9WE/RLtfsLzpzcvTU9u/7lX7qh+4mOfeO9JIURiCfEdY+nbuf5JKnh23fyKn+WDH/ooP/7axb89PTftPLB71f+65qJ9Y/c/dQZpVahVm3z+Yc3ffGGawHLYNqFYM2ExMhKzrOe5/eERbEtQ8gTlkqRasRmpSqpl045YlnnkO5bOgZ21EpmMTEiFkoaGaxV9wYueJ2l7UnTU8l1F4MaU/DCV1vUJvJAkkZycr7PQDFAaXNu0lZaljGWakkNxItlJVKQm/JkFtJumOTuWqaJLfTjWVIRKUnElDV+jtUr7cI1jpTrOOG1TkqLcrdibm39bahBKobQ5XGd60CjRhLGxOk60JowEllRGFBzbaGwcyyLwVBrsGvPFhxP6nRJjtRJrp32mRkv8zMu7CNXkzm/UadQEo/UmR86s4Q2vumDu6ZPBf/zsk+JvX7454ife8nP/lJD7pwU4wNve+uO8Dei0Wx947axjnzp267v2H7tvYu3kMl96RPDI0xO87ELJkTMxVc9i7bTDiy6JKdeWuffJOp5tDpLVks1IVTDeSBipRjSqEb2+RbPjpAAoiH4tlU4VMvqqLMy4B4xAK/UrN1ZtpInKJn3AcxMC3wC8XungOC0efBbC2CPuCTpdLz3UxsYazVIkTkZiygxwIFs12oih6u3amsA1N2/gSUq1hDWrF+gnMfc93SBMAki9U+w09sONB7EwGbiH/MELAa0mxco06QnZdEbk/3+66KTZ0fRCQaOsCaMINDi2Tcm3CENJuy/44JfL1F2XF+0UVEouYRxz5FSV67b1EaLPc8d8Zqam2XHptWde8dKbf/2mKPrA+HiNP/inBtv3A+DZVSpX6XRafz0x+0rxk2+u/M+/u+22iSf3Orz2SoHtdzl0p02tYjM9DhOjHT59vwuxoFKHatmiUbUYbyhWTfRYM7XEmWafhbk6vb5HtZzk3oWWpRl+GhqPvJXJDlZewWXqejuYmriOOawGXkSl3MNzm3z4Dnj3x2ap2SWu2GCzbZ1katRMOhxb4zlJ2oenB80VkxSZPkHsFLCm9YJaWTLecHnZxoTLtknKpUX+P5/s8P7bZ5jrlnCkyit+mFb9OG9XsmDWQbuiik+PwqUwoucwNnz7QEDJk2DHLC1EPHPCZf2YACIcR1L2Ja2Ow2jD4ZVXd/nsnQmn5gSrJy1KpZD7noVAlHjRxW3qJY/p9a858+qXX/MbWuu/rtW/tUn99/L6J+vBz3eVSlUCP37vtp1X/MquS1+38NZXN1jqL/Llh3uUHYf1MzbToxGloMUTB8pUHclI1aJesRmtaaZG+2xctcDRhSX+9y0eX33YZbFl+CS+a+RwvpukRH+LRJkJAWJg/GOWNQXPb8s4cRV7b9dN8LwI3+szUl3mo3fAuz48TdyvMlEyFsednqbTk/SjtAdXYtCenOd7F7kny2CB5DoC37MoBRKtLRZbVWxrhF//8Q5vf/lpmu2YZijpRWYKEqZvpg9XRoiQmMqsksyXUOQ3mUYghcST5nDbDQVLPfP3aQ31qs3LLrf5+Te0mZpq8dxpOLOoWWhGLLQ0802HXq/ERRugHfU5uZDwwnHo9cq88poFaiOnefzQLG989WsXLtt1+a+cXNDvDYK/3z/we3l9XwFuftANHNH44GtecsVPXXHp+l+ujl8XHTnhc9U2zfRYxGity1OHFa2mx6oRyXjDYawuGG/ErJ5s8dyJZX7/YzWeO1gD7WJJCLyYydFlLHeR/SeguezT67mmp0zbBUcMB9JmESTZ4TKr4J5ryF6+G1Mr9Thyus9f31ZloVNjqqKp+GaWnBvzJGIwAQG+6cK+8Nt5JEp6k0lpgLrctZlvlqj4ZX76lU3WzzRZ7JnDZz/KxAc6BXeaqaNECnRTzfMYk7Q1siyLmqOpB5oNq3p0dZfjS9ANU3NP7bNjtsyv/GiLDWuaHJqD+WbC/FLCmQXJ8bNlRkoldqzvsNDWnFyIeGCPzWzd4o0vvyqqjW/45cnZq39qdrzywfUz37mW8rt1fd8BDiAdS504dfaWDTt/4s8uv/DK/+M///wNSa0h1f7jMZ0w4rYHy7h4rJ9xmRq3GKsrJkZ6lEpL3Paoy/OHa6yfkEyNWozUFOMjHfYdb/Pf/ybgaw9XOX6mRDsDOCI14hyIkAdOsdI42mbtSTYedAwXvVbt8tBewbFTVWq+pORqHHsQJ5hvI4FBwNSKgFrALJmGreNhMK7UqV1EGFn0+g7LnYC1k5Jrty/Rbce0Y0k/EvkkJYoHgVFxAdxJYjSYSWIizTUSaUHV08yMWrzsMof//tMLbFjX4nQLlpYTTszBoZNVtq0qc/MVyzTjkDNNWGxGnDwbc+CYQxzXeNWVCs9PWDeToKRUc/Grksmpq/+Pt/3QG/9s7syJWxzX+p4vcf5B2Pp+fwHZtXrtRo68cDzcsHr6g9ftWrfDKe/8r9s3TfPc8Yj5+RKXbnK5dKtiw6o+npswOdJm34mEB56qsapmMTliMVYXTDT6+H6LWx+0eeq5UaK+zeKykWcpneXI26nSPkt5I/cBt6RIDTSLJpqGzdjuhjy012c5Dqi44NmZaii1mMhe1JzDkbpvCWUSEXJlgjKaxmzaUWADZjK0JDHCBGM17OJIlyu2dfFKXZb60EuEGfPFaSWPB+NCc3g048EolkSJbZTsypw9fEdTKwtcu8RFa6u87uoWy3HM2SXF/FLCqTmbk/N1rrvAYsvsMqebml6kOXQqZPdzIY/v9RmrVFg9sYx0Z7jpmm3/VbmbdpQqsx/s906FF1yw9fsNp/z6ZwNwgLUbtjC7drZ7x4ML+37nA29916tvGvltr3xBsnm2wpZ1XTatOcsjz/VpdzWnliI+fkeJfttjdgxGazZjDcXESIcT8x3u2dNg9Ygg8GUanGTsfY/N2WjLyhX3jp0FSBVn3wxskFOAl/2QuWbC40+XQdkEzgDcRa9w85aZcCZD/onITDofkaiEfpKlm5lksyQVZGQ5OZn6ph/ZIFyu2BEz0+jQ6xt32n4siCLyCp6bCClycIeRTRjaxLHLqvEYKVV+I7W7khNzVV68UzI9vszJpma+GTO3BMfO+FTcCj96U4+xkR7lks0lF0Q8fTLhmUNdjp2u8OKrdiRLYs1vv/GHbnzXbO3svjVr13R37vjnA274Zwbw7PqJH3sDT/7tB5PpLb/0W2/9sV949w03XtN/7NAIJ+YlSWTos4/s09z1SIOpmmSsbqr35EhIpdzko18vkfQ8xutQDmQaZ2janffdVscWFhXPKH9cuxgHWDCzzw6XboTnhbhOjweesTi04Buv88xAyBqMFi0rdZW1tEmbsCNKfp9y0CVUIXNtGK0keHYPwh7LoaYTm0ocx+nqXQ3m2nGqgo9ToK5qCK7ZsUw/DlmORH7YjDOAJyo9C5gK3g+NF3en5xInPm9/RY+S36MTCcJI0e5qziw4+HaFt9y0zFI/5kxaxc8uWpxeqPKyS1x2beuy3E+whGTtZMwbXlLi4suu6r/hte949+//57f/1m/8wePJi2564/cbNue9vm9jwr/vqs++g363zSPPtn5z646XyjWz66996MG/kxNj6tq51nH7qf0Vbtwp6fWhWrYZbyimxpZ55mifB/ZMsaoBtbJFtSQoBwnVUp+DJxN6YcBoALVAp9YUZqkDGYvQ0GE9R+E7Cb4XUfb7VEo9HtlX4uSCy0SteEBN5+a2MCQsR+O6Rl5XKfURosNzx2P+7utVnthv8XM/1uLqXX0+9fWIw2cFi70yFUdQyXrpWOd5lUk+9jOigalRwRVbe3zoi31aoUvVEZRdIwTOItIz6m8G8OWOjW25VEolfLvLhpkOJ06W6PQUrY5icdni5FyFF+1ocsv6FsePjzJei2ktS+abFid2j7N9TZf5xWUcdzq+ajv377zsR9QFF6y+X8ql31xYaDMy8v0/TH6z658twAG8IH/hfmPPo5/lxmtuqC625t/z8G7/LZtWLcmJ+hn27G+wakIwOdqlXl3illsDROwzXjMq/npFUy1HjNXb/MVtPsvtgM2jMFYzyyIhMJ7ZyhCahCSfY5f8kJFqh8Bv8eyRhKNn5aBRZjA/N9MX07f7TkLgxVRKPcK4w3tutfnCQ2M8/HiVK7Y3WTcd8qM3xLz6qiU+/1Cfv/zCLAu9EhVXU4m06aVjla7602lMzvPWrJ2I2LZukYNnJGc6ZcquoByZKYpSqaNrevN1epJOXxInAt9NWDPd4bVXtfndD4/Q7Aqa7YTFlsXZRZfJ0Rqvu3qJd32kwqlFl/rZhFJJ8ejzPTbP1rjhyoay/O2fdN3Rdzz8xMnWhRde/v2Gxz/o+mcN8OJ14a43Mnfmmdb02i3/bnJqw/PP733swoNHR980UjvKWF3RqIY88YLg8WdHmKpCtSwZrQnG6hET9S4nF/ocOFFnLJBM1GB6zGFiRHLgVMixM4rVY0bVLoQBq+/FNKpdljpt/upLPi8c91kzHrF1zTIn531jY1bgrjj2wC235IeM1pb5/IOK3/vYLLaoMDUtqNclc2ccDvqazau6/KcfbbL3yFluvXcVDV9SCzVhxGD9nomApcaxI/YdhRfOuPynn2jx/PGQD90xydl2hboviBLS7HdDOJud6HDkdMKBoyUmRmxcx6dWqbBxeo6JsQ6nm1XqJTP+WxyxmFuscPnmiAs3djl7xuP0ouHZXHHJZiI1+pmdF1+2Z/Xq6T/qdvutHVs2fb/h8A++fmAADjA2cQHA2aeePfpfVm3evm5i5hnGp5550zNPPc1otcnTBx0uXuOgtaLkOaxfFbJ2usVovcNjByTPHw4YC2BixGb1lM3G1R0OL7Q4eDpgvGoqpgAcW1H2I5baXf7osyX+7q4pXrMr4j/92GnqlRb/38/WCBOTHmXMKAVOxlfxYkaqHZ48GPKeW8cpe1VWNzRjZcW60RKHj1eRhIzWukyP2fzCa5ocPTXP/mMTjJYE/SgLik0DVEn5LSLk43dV+PCXJ/kfP9XnP/5Qk7VTZ/jDTzu0+h7jsUaj0z2AZsPsEgdOhzx72KIfCkq+w0QjYOtqmw3TIU/sE1hnFVomrJ2GgyckSo+xffUijyz1uGR7nY0bt7Jp08WfufqqC/5Dd3n5UKm66vsNgW/7+oECeHbt3L6aJDx9SDrbfiW23A9OTmz798tLe25YfPJpLtva5fDphHrJ5exymyfuk7zq8gAtI6qBxWhJGIBPxozVm/STiERViWKzrJESXEdRKfU4NBdx6wOr2D7tsnos4PRZmzddd5SvPt5l7oybbgaNSNqzwXcTquU+tr3Mh+8s8+T+ETaMambqmomGpFGxmW/a2JYkjMz5fue6mLfc1OS3P1RlsevTKJsI6yjW6VNCY9sJzx4WfPbuUWYqFY4cr7PvcIXXXnmMj3ytzYnjXu73IqW5ISQCy4k5047xzkY0qi5zYx5YPlpL1k/Cy66IOHm2z9nFCl3VZ/8hwRU7G2zfvIPrrrj4Lj+w/iiobXvi0PH+ofWzP3jghh9QgANY7iTA81rr54E99z4QzrzptRf/xcEXntr80N7d1s4NbR57PiLsj7DcjUC3aQSC8YbN9JhgdqLD6eUO9z9VpxGIfDwHZjyICLlnj0vZ8Vg7pqkEFkttj01rHMaqMWdO69y007bAK1TvvccVX39slKmKxVRNMTliMTnqUPYlzXZCnEi0drGkJvBiXnLJWT729SUOHPWZqpGu3w3PHG34LWebglNzHus2aFptybEzARONKtdf2OEjJ+qEsYnqy/SjzXbAdTta3HJ/l2NnbcZqMafHbWw3QJJQ8zSrGi6NSpPHnunxmk2SC7ZdnGzdfMnzrXbr53dcfO0JpdjnOf80tNbv1fUDC/DsShO/9oWdxX1xnLxSCXf21y++4pNPPf3VmnvkZHnrbJPTi7DYkTQCwfoZiy1rO3h+i898ycYl4IK1CWGk6Ydm1e+7CUL2ue+pKg1PUgnMtMVk3Eijjkn/bZmqfjxHUQkiXLfNB26v0W4HbBxVjFYlY3WHjbMC221zxyPgSg/LcnAdF98rs2aqx9te3uY339uj2fMIo2yebZZAxchvpRT9UNHqSJa7Ja7bscxHbo/oxeZcEHiKWMU8fdjjko113nT9Mn/6yTLPH09o1CSVisvGqWUWlxSPPQ+7Lhjjmitm21df/7Jm4PbeLLztx0YmrUOO9YMN7Oz6gQd4drmlBlrrQzdcO3okipo7bfvl1+y6RP3l08/ui+fOPDt6zx5ZrQQe29cvc+h0Dy1sWj2PLTMOL7+6ywNPJywvG6u4ShCS6AhwqfnG7N1zBY5lEiWkdAssRJMv47mK0VqXbzwPjz1XYywQjFUNgalRs1g11iOyljm17OHGNuP1TEfqUStXuGxTn8u3tThw2GPNqNlMJgUuuUpzfKLEiB7aXYtWx0UoG8eKaHZ9+iGUg4RTS30e2ONTdmv4TkK9CtPjPfa8oNm4yuamS22eOz7euvSirfOrZi+wXUf+m/rY+gcmx2pLUYxyf8CrdvH6Z7no+U6v1MtELbf6C7PTa25r1Gtb3/uhz2961av+1TtvuPqGp1502eTjobB6DzwzxlLLYsyH2TFJrWRcW11H0Kj2KQUdbn/Y5cgxi9Eq+J7Jj6mUYo7NJZxtOrntctailPwEJbp8+ZESnZbHVB1Gqha1sk05EPi+wrHNBrMbajq9hOYyzC3ZnJ4vUQ/K3LyrDzKk3TdeKLlzLIKxmmbVRI9mVxDFmm5PML/ksXFG8pIreyyFsNBOiCLDf19sKw6ftFlsutS8hNdcXWLdWqu30Fv1+OZtL3/qX/34W9/58N0f2xSUalsnJtbcFvX6C0KIf1Hghn9BFbx4jY5NguEydY4dO4jr2L9rW9bvXrJj1iqVNv9Zfczb2us88+JKec6aqZvkMpuYsUbM2eUuX37YJ/AT1k0oVo1LRmsJGkHg9/nUvQEHj1aoeRRGhVAtRRyfV+zeV2XEt5gZFUyMONQrZvwYxwKVxqEY5ZFgqZWgkdiWR71S5bLNPVaN9Wh13VwlL6RGCMWmVRavv67LZ++oIoTF/HLCsTMW5XKA7se84gpFvx9xYs7HKWlsRzDfctg6PsLLrhlPZtdfcM/LptjXbnd+SQqZ+L7Pv/k//0ivWb2+8/3+eX0vr3+RAC9es7MbYEDli+cWFt6xfqs3cur0rt/phl9zu81DSani7tq2ybpchU3uf7JL1W3gVzRSOKyfTZhr9yhFFfYfT3h8b5Xrd1gsRxH9jpPbPiRKse+4jaUcts1arJ60mZmAkdoydz/uM9GwCKoOji0ZDWw2rVHc9UTMaMciSVykLDE7VWbbmoh9BzQ6DVr1nISnj2j63XGu2Nxjz3M9PNehWlli/3Gf9TMO6ydipFb41Ranz1SYHN3Etk3ikZLTf7Q+ut56w403hdXa6H+OwnChVBn7fv9I/kmvf/EAX3mNjYwALAC/CHBk/y3YFjfUJ+1XxHHnzV1vedvFa/s8u383G2dKVMpNbn9c8/KLe9z3FOioxI+9HB49GvKN3R61Msw3zaHv8efKWPisXw3dUDE50mf96tPcu6fK0VN11ro2vi1ZMyVIRJunT9psm4D1Mx0OHhfMjJXYubHN0ZOSsbqi1UlIlOIb+xz2Pl/nX7/W4qrtSxw77rFltsP+o4LTiw1CUWbN7CVcvyth7+GRvbXG6CdrM9aXpeCuH3r9Td/vl/z7ev2/DuArrzWbXg9wV6c9dxdw96btelPFPq6Wm8+qqYn1G3ZuK/36XPc02za6HH7oKGO1Lsu9LqfP9vHsgPERxSP7BNvWKxol2DgjmRzt8ug+lyNnFS+crbJmGg4d08xMWZQcyexExMFTgpsuUsgkZGxE8uhzmuePOsy3PQJfsHa6yyP7HLq9mFqphUBw6JjNmukJLG8LbqXNldesxRLL74oXjh28ZNd1cvWmUTm2xtkP3PbS8e+958gPwvX/eoBnV6k8BnBb9mutDwJu4+SpE/fv2LKfNTN29PJg+y/XS+LmWPd42WTEAw/soVxuImwby9KM1yRlWzBanWOkNEanm/DE/hLTkyEnF/v0+wlCQyXo0SglzIy57DmgOHnW4/h8l+m6h7IrVMsOlYpGWA623+C1L7+B66/xSJIKI3V9u3gu+oOR8Z6zettOgsrsXZcl/cVLt05/v1/Cf5bX/x/g3+QSYgPAIvA5gEOHTzK+mmdLXjJ1ajFW0zMRzz17CMvq4LkOth2D7kUvufHy/7b7+TWv277djWbGI0p1H9ePGBsXrFmn2SUkGzaF1MYSPDegCUyPwJVXdJ3TCzOff/r5h/+b49iOtBwc28Z262zZfDmWY3N2viTrVevUxk36YK0x8/1+iX4grn9ZM6Hv83XgubuwpJj6xFeO1deOaj07GXHgmIfjxiy0BDvWwQsnBTvWRyy2EmwrYP9JmB1RXLCxL/Ye37QkhD71ipfe+P3+Vv7FXP8/mL1qAgCC7QcAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MzQ6MjIrMDA6MDDBX8etAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjM0OjIyKzAwOjAwsAJ/EQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 12}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90863000
{'hecke_orbit_code': 4504149584511060, 'n': 1, 'trace_an': 16}
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id: 90863001
{'hecke_orbit_code': 4504149584511060, 'n': 2, 'trace_an': 0}
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id: 90863002
{'hecke_orbit_code': 4504149584511060, 'n': 3, 'trace_an': -1944}
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id: 90863003
{'hecke_orbit_code': 4504149584511060, 'n': 4, 'trace_an': 0}
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id: 90863004
{'hecke_orbit_code': 4504149584511060, 'n': 5, 'trace_an': -2156}
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id: 90863005
{'hecke_orbit_code': 4504149584511060, 'n': 6, 'trace_an': 0}
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id: 90863006
{'hecke_orbit_code': 4504149584511060, 'n': 7, 'trace_an': 50512}
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id: 90863007
{'hecke_orbit_code': 4504149584511060, 'n': 8, 'trace_an': 0}
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id: 90863008
{'hecke_orbit_code': 4504149584511060, 'n': 9, 'trace_an': -472392}
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id: 90863009
{'hecke_orbit_code': 4504149584511060, 'n': 10, 'trace_an': 0}
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id: 90863010
{'hecke_orbit_code': 4504149584511060, 'n': 11, 'trace_an': -222796}
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id: 90863011
{'hecke_orbit_code': 4504149584511060, 'n': 12, 'trace_an': 0}
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id: 90863012
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id: 90863997
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id: 90863998
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id: 90863999
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