{ "proof": { "wires_cap": [ "6232016528318542211523647364792867346449137823066292895075623303633330508214", "3849229275985461680629770572508259203226163621677714310355251582693130685288", "5987556171512366759354088598227343740440477791444099795740854232780130336082", "8523377779888975334090507575349048869294640263235559121841789718805736414837", "4173305429039088756536564029627250985745421317354666614089039608061166671898", "19514742808406256372169729907222415291809011606011679387563713660256488346125", "8519703011007005463193900985655355044586093539828702987016626948657512235078", "13337062986664638507390757043422262298890182385759661595000247205380836291424", "13956988298720968721248573872513053256190487207048215310365406791617256823071", "4139118776078237399422219240136866906229498819930564462151328936368637474741", "20010683036854145765538326917745039166608941517703057250025522185331298063240", "16542849340693186579674885260236043503488748690860552251132996633211111581047", "15340310232736118098606223218073833983285921571850333937460777227732109309104", "14370557250059545670244193708996703450518439828341533154117610442161777001185", "18844434454299441334771065219656682212700835025465734281792408139929868142021", "19676343740377898318702605893881480074303742058989194823248293456630167789460" ], "plonk_zs_partial_products_cap": [ "18630303757724954689095079665308152603926320437432442392614316813333911252124", "1941509032097423911575973752610668722198580889286836043016771886256831254944", "6147898094056673441182607282006528423230906496770003193057422314911254596722", "8711744418341460096856191310559061094028644913424948320707020455945693390966", "3170507894509162329082713944669012510679535839018490515228566075949014704871", "9513443633020527244719737008971091746535961947215556968735061932963144145728", "16440622144490342815400399751667969445057099157732990266662948140364680211732", "16904904288584890809819587275120157893767917607795020298373538872373275028362", "1322883689945010694042124537248103086068476085787048131689196755087178475099", "3859729225679954076862546769780866075152550721517632074656261209033111218654", "5995885491698588595978721670502011088690021401297557688057158353938846681398", "16957177478856199232404038751327729781816109007496656232207408246975862260922", "9422393668093911702915740702404346320943009100616501740579421944206639410155", "15680345727093646870610240619814271686346382346107751208797654607051065248818", "4939261448468032698521878059774016528161329965101885352386001950329280576201", "7003946111898359335505647195128523292498498760325513092978040051648331398446" ], "quotient_polys_cap": [ "3918560082526903400389798118659365477465402367561322989181693953047280669646", "496966935842756068593963213547105605432646958081400837931911611833297095727", "8683297895986438077633020202252074142721819824824948690853505463451806801507", "14623770060934618886104076268225324888644340537717836901769942847173950269850", "902377468311802642056170073282349607767917979325737018777782566011948776523", "12124340721627925810131860890689432371048624670798932303474977401990312142398", "21656753786114693289615694183370749990935753681953197920766927707640495235100", "4651674172794111060599611529192263627230814664669763852917839857516619530510", "13161231355626784301812735677481006076469384200800574341495987998366265598910", "20853590455948262404101100028402584187982204016660952863575312077951992942329", "742867642166478273564934628555265381154191517824405375118170559554873960389", "17617970388755497287414457313283777609067524774358298322461931046141926005038", "55496208750959228576253470708262329602643441253143570259294790484739321332", "18450079114184018679423491604333957974306902732410122012117555285853099024676", "14403337493956171864251492809058241138806636992110526018123749007090024780352", "252265115458024097842043026135110356285192501597856208375838682286051476335" ], "openings": { "constants": [ [ 8087958009946290609, 7588010985048058443 ], [ 8516331198944598126, 14761107868197646224 ], [ 4076515769681672042, 3499233533535122221 ], [ 12564373339527384725, 13713842910576146656 ], [ 13431000183607454649, 5186873062182083558 ] ], "plonk_sigmas": [ [ 17995516553064905174, 15561533971990545896 ], [ 3691411996516034377, 16799033762901218006 ], [ 17753630865802194078, 15075777012153622788 ], [ 16207542259070349395, 17371587832238396439 ], [ 18381992100324479159, 16134703588060774737 ], [ 977556067912297189, 16772759594157461853 ], [ 17759689770934005084, 17515350083517405126 ], [ 8266082414778556618, 6845960535340069621 ], [ 6798024561186741052, 7964182381072359484 ], [ 2329612566490666668, 15523633321106499864 ], [ 4491312499111964108, 15622062186698462353 ], [ 3731945431603196180, 3583108254378661987 ], [ 6010112274731818011, 12091771094993728011 ], [ 10139222259671591504, 5739488011986255735 ], [ 11150285326394301147, 1576212217919046476 ], [ 9282154818081397653, 3036657535466498013 ], [ 5410173460804808927, 10365234510873979803 ], [ 9019749037887598178, 2344362073530329037 ], [ 9969851243662737922, 14830347345572463155 ], [ 9188535769980305730, 7995532947794591969 ], [ 17088830031703842281, 2090500008868300319 ], [ 3616696611326565695, 1041734134678734610 ], [ 12137571034405142140, 545362649149734757 ], [ 16803420125285787331, 10628758959314808430 ], [ 1228331248497691144, 14099359838046922143 ], [ 13169796859901203479, 10811151926748870066 ], [ 16757881260068778875, 6554458721767948637 ], [ 6495100712774327633, 5759945783144642278 ], [ 5918149571148158425, 9258255263470285037 ], [ 9470479570147815495, 4910020507793402884 ], [ 8818772489313726830, 17338074344690144130 ], [ 17713787566523260098, 1560185523892709121 ], [ 17994538265051459253, 3963713917759052515 ], [ 8493920274305375165, 1415596588557670287 ], [ 1921714767329704329, 9359726898665634009 ], [ 1280588125401364565, 10475772727496547787 ], [ 17578264289850495320, 5816801496587315391 ], [ 6505192510877061105, 11641318459346274696 ], [ 9031789555997937287, 2356698029183583204 ], [ 10332564051947101792, 480359075259733903 ], [ 5733505919043477197, 17395609860443902993 ], [ 3350368300574094375, 227852526204588991 ], [ 17529436727138973750, 10126990882410045996 ], [ 9607748612983069220, 3630295958779462166 ], [ 16132465446592806361, 10329318054759182467 ], [ 2577896378829258261, 10060052348153968371 ], [ 17423714226018836514, 9073948180267157220 ], [ 11182234093149859181, 2151410738824093720 ], [ 2338660133642888780, 11058943840583091179 ], [ 9621185262424993902, 17273840291439827156 ], [ 6676342597015312975, 9332231562112890246 ], [ 7982477304659582748, 2263980935931177537 ], [ 10863386983204236221, 18438708593653804410 ], [ 17999852690559850540, 3903150471184157477 ], [ 1497811256684278840, 7125450323140625599 ], [ 1070412012423177882, 17735795741678865296 ], [ 6436728633085682118, 10407905475379484326 ], [ 12998636607681619946, 14145569958548638750 ], [ 5527174272036860523, 11970436009855134677 ], [ 4068074593886990165, 1644479757126753989 ], [ 10890307220847764184, 16648259487576983635 ], [ 6722395700727854603, 1433467972107529511 ], [ 9771885746263568928, 10137292387093358766 ], [ 5475624089027309415, 207256597929506342 ], [ 2566878312802320573, 14629508546282685289 ], [ 3916983621815368879, 806112878788040691 ], [ 1778229990274157442, 1178886365986123302 ], [ 5993099306031226909, 2101391302038361773 ], [ 14893232417652395689, 5205624190019459922 ], [ 5085737552928963735, 14267174448214807264 ], [ 12996934627466251639, 5987011195596146405 ], [ 3329637864789510781, 10532849542913405879 ], [ 16271870078904798534, 10683977369434017149 ], [ 5359005268479548821, 9801594116284009132 ], [ 10751709878453945570, 628722624639338690 ], [ 388432470779432359, 13958409962681921506 ], [ 8458470884734893945, 16982738581250420208 ], [ 1183130586445462129, 1506545761659148203 ], [ 10031976673050302633, 7940385086293921028 ], [ 11154787816449239709, 6977423365251611648 ] ], "wires": [ [ 8216731830376432329, 18232066965357165570 ], [ 16328420127014757129, 12806392118945639923 ], [ 12540895147549783260, 17450643369112050045 ], [ 9737126952324462242, 16002266633910873680 ], [ 7794437863096606690, 6258726976456659387 ], [ 827884072877417196, 10459793330708239731 ], [ 526426410734865119, 4275953917331516183 ], [ 10290441321297557764, 7628709073660619692 ], [ 9790923400218710154, 16937672131164118849 ], [ 2232245034342304433, 7756589753195401367 ], [ 9356352869778363351, 1082115264786783451 ], [ 3051872280549427815, 6625992347397334288 ], [ 98979936261097005, 7997154911872249135 ], [ 13636172593530562223, 2935372353856107227 ], [ 13509779286709388313, 8623466324803496530 ], [ 16095004888157676476, 17364833501868276570 ], [ 3378273620018981224, 5681118388798652039 ], [ 16581403133662791926, 10562011172197235479 ], [ 2116115914922165766, 3062546311648787303 ], [ 13355703108754075279, 422699487026954925 ], [ 261512597449012529, 6639642565185041135 ], [ 17478767769561046465, 16358876980869892725 ], [ 7971437504740289395, 8470555318576006966 ], [ 4166872182173963083, 3260609670735443726 ], [ 4322238821551966251, 8475385303677887059 ], [ 5450034477153749387, 8583989532734342385 ], [ 7932943621344067511, 13971301379115557008 ], [ 9557736929045533699, 14550982125922720190 ], [ 2362093564962761920, 2391816842780869537 ], [ 2335815811036326174, 15929177933865366973 ], [ 11654251508774581358, 17545266467147739960 ], [ 5253568958782158205, 14366214899798074105 ], [ 7990967275972088850, 8499960286417369093 ], [ 13135352667620509891, 6007457883626183751 ], [ 10088117386948688213, 10542964313066535950 ], [ 17399709669063334902, 9202285722838851965 ], [ 5741523597314922116, 14902184839561939898 ], [ 9789077932522835884, 4988832448502013067 ], [ 856119208063830648, 2302137902358048511 ], [ 2508012002713012820, 8310193685890537641 ], [ 4275136099585688246, 15732230423493112788 ], [ 372308276128342993, 16784324987412174047 ], [ 9707450008201750463, 16956338977634044410 ], [ 12915219430434450314, 4902119063117074222 ], [ 8193161782510906230, 9774181846423931462 ], [ 15972460934669894304, 5486098568024033893 ], [ 6126702827473751770, 5555783804378770096 ], [ 3197027215356602171, 243464902943241173 ], [ 13131559430959755485, 5735860957490523409 ], [ 15581437089565032748, 15345925033163484406 ], [ 12165424150598899747, 3941936245777637129 ], [ 11252472701781461282, 16613847124342054264 ], [ 461973986818890474, 2137826374779798743 ], [ 13778845071609590233, 12594355606510632262 ], [ 13235590701780483955, 10881019964995417804 ], [ 6678468420967329334, 7408397612875362366 ], [ 12501130966730218698, 5319120127405166527 ], [ 2372684840044249026, 4785094160735454484 ], [ 2143899073681151402, 1974180855438741338 ], [ 8780458888898792421, 17076027626179943821 ], [ 13440465433376928328, 13381548824331845865 ], [ 1659183852898733100, 7520082473932181089 ], [ 18379719847271497962, 4940248660248948915 ], [ 18040791314028204270, 3603087645063494470 ], [ 12494994216179623957, 12242534052257798800 ], [ 576041495212309364, 15846190484986579846 ], [ 12319961191560767368, 4541720209540842599 ], [ 14596438676256106359, 5646558168010116218 ], [ 16792650682817727922, 2634302714199112318 ], [ 6108471188810206094, 4710488460145238229 ], [ 7765223821268379987, 14701705897870604543 ], [ 4507325387695879700, 9921212120560701348 ], [ 17392276529063996617, 15973890840944653448 ], [ 8066551937279866164, 12776597279051423329 ], [ 2741930754774698042, 7706903542677719978 ], [ 4196044101656304260, 3289391185370143755 ], [ 6731810907828080566, 6310952229852996889 ], [ 9626287911058035031, 2779447300438572843 ], [ 9308398194123945118, 464397050415551178 ], [ 16973063994227022977, 8708820447751843463 ], [ 2843569132300745664, 16105779097579799041 ], [ 899992767775979240, 4922593801913109054 ], [ 13156257397846756535, 12921988414610055062 ], [ 7856998487036649123, 6435773259932042018 ], [ 7953873585286200066, 1866576718318206239 ], [ 12128278124608927039, 8776156470808412900 ], [ 16262604923021655691, 8574444131726885871 ], [ 11659832550814235607, 2253885281887163477 ], [ 2593271532549868970, 914632805464973963 ], [ 12675988967932867106, 6149788709951909189 ], [ 3961450597945057321, 16568718330499243335 ], [ 14018216442539225796, 2567123851434962192 ], [ 18221763631803943825, 406858620763436052 ], [ 13793527082283919397, 18140228182033881585 ], [ 16267860314773987974, 824602875804060521 ], [ 2140885735011987953, 13501823572044867732 ], [ 13033455005159680797, 4434352070552586084 ], [ 2179863553830671522, 15891645630930406950 ], [ 9974594147221355237, 4827708165154394510 ], [ 8234205125256654175, 5389825425339745751 ], [ 10574064256846948208, 9104265978176914941 ], [ 8336864967557563369, 595810899759179115 ], [ 5202180604310106094, 7052265563256013213 ], [ 1226338827823602263, 3092557744657823306 ], [ 16541037617953200399, 5874260831002081045 ], [ 18274355516208567944, 3829743698337506497 ], [ 12531866683803402517, 11241891083418591271 ], [ 4975633341468377132, 1692254090685139892 ], [ 15999623284780111720, 7560318143903832052 ], [ 11626460243120649494, 14725240789505447254 ], [ 9306305861132913933, 13967185546524421409 ], [ 6461030218793105446, 15623934631776638076 ], [ 7037054112542956054, 9976579826580693291 ], [ 11767087123758586082, 233939417922686936 ], [ 5695566806806639317, 11928485438272305968 ], [ 10689593429858460197, 1710325238420970031 ], [ 18295070835251879378, 8118862464142841311 ], [ 11520583170648154078, 2768822105704766751 ], [ 6429773052941264562, 5394043284327695812 ], [ 8596977893479081814, 11018550910523045755 ], [ 5969034267425438732, 11832120524342513078 ], [ 16276813104377606270, 8936747918019316180 ], [ 18141093529249380838, 17218374343044610768 ], [ 12710149352905468354, 16137746678857809804 ], [ 13485445128193655792, 3283965976195694067 ], [ 15908686814531365392, 12051436402395072862 ], [ 6509967993357748322, 1568157356571969394 ], [ 6953040854478261953, 8326221260644801032 ], [ 4505581784567691676, 16610169522149173173 ], [ 17213790321159883236, 14585307867014007614 ], [ 13083660662062924085, 15852095044648951218 ], [ 11179946593792248103, 17695377317356984486 ], [ 9247619335647654529, 10012855905435029060 ], [ 13549994547238244145, 3014480829688998475 ], [ 7909104473807320327, 14642215000028748721 ], [ 11202196314761188072, 8032534843149037283 ] ], "plonk_zs": [ [ 848494615608419902, 4534048663165367500 ], [ 7093523389794604447, 10589201945908239977 ] ], "plonk_zs_next": [ [ 15290566856648406495, 10650576366767681357 ], [ 18394194049985928350, 2018204549401681192 ] ], "partial_products": [ [ 8769279547003777853, 6464046170262475568 ], [ 11323249312561803847, 12203502473727608451 ], [ 12676702111404628616, 13981092281610977050 ], [ 1100462049022499147, 2296918889943816366 ], [ 17083485344221754344, 2385341257790620386 ], [ 16616014220734101517, 9492032803074464968 ], [ 2708837120119568069, 3937296587779670746 ], [ 17778504262716894638, 15161401218604163351 ], [ 5145789895485041797, 3340056412388989103 ], [ 867461060329885122, 8914880346083101129 ], [ 9247492454966464997, 18054477677969815103 ], [ 6275988205851484794, 10650123632388500762 ], [ 3104015632683883483, 4101373529263115549 ], [ 16916070230668223657, 15909534396238429400 ], [ 12426314051221893022, 10875916525100669894 ], [ 7026495631272405506, 7772800875984630682 ], [ 7928384325703830015, 6592091140037433321 ], [ 389166277349123854, 9666121675627405123 ] ], "quotient_polys": [ [ 13897144064313495568, 4736468917906617352 ], [ 10767047469021249587, 5164311238591619446 ], [ 4815768013986650538, 15314716911795155938 ], [ 12217395350557766088, 12474540372011862061 ], [ 611672934977028546, 13194569522371762521 ], [ 4371405182511647690, 2738933232335496885 ], [ 8806845311616743944, 9462558414520223903 ], [ 10758546309387341280, 6109056746706277013 ], [ 15338374044149589045, 7785570221205567991 ], [ 13199988594438505072, 6770384112349285411 ], [ 1950235488513287027, 11766961882199299055 ], [ 13475032899970805860, 15516460726306160813 ], [ 16760586433481321548, 2329081093249513921 ], [ 4191990545123166976, 4411925347680443160 ], [ 11252134514300898994, 17821153854228973328 ], [ 11876534072229440787, 1532470386428939324 ] ] }, "opening_proof": { "commit_phase_merkle_caps": [ [ "16277318563417332735495275545719593329906952712861813260735871605936641824328", "15399389504921541533722424521395428097195929694623327922638521003331766923410", "2726383762973670375277928028834721287200775015879221468542817325775065761457", "15576756787213742122041887226026199931966361388148264120428372250464456432586", "5706144567668273243640255567184999332846446492985889609997199082705863839695", "5021373532052107965991670476281499940422455219032306622184897032714724209409", "19520316088582940198745127888521770276626857732904527871287884466498734828729", "18816919564313359669427147014766039221882003762252618623789439072095859703642", "16808827327565052988739796800180021099441239687906781440749510188964425951006", "3144727976621205098598887657266785044123644326423334382317772777524572398355", "3296728989070510040498208990712856811688949442204768172244468381476112278743", "882691897098299430312740299612404126644404136630935700774086973784855346624", "12570478003311539245224456783671862010273867477339668176615761685860234380089", "1434075384494557806642990876736952009886601002944404020264727935042832291009", "8331760374012283281579687505633091453327476115283323655389431559394968062891", "18132829550173145176850655204701247040357484952613759128405900214567294051209" ], [ "11393087326994883474299274652629956641973783001652105401008333916392682935648", "15721365342898168965674750890071806629440110766610733696160074710204167464151", "12270758760801882015112863253012405182150034424709277949357253855242716094761", "14576111506384821630141580936104329944808379316028981355718678135664093217817", "20732481549172520751632946624711014018880062528196663643450973764026705737735", "12036095591550038858007571598212602216196619116551258487436077341141570575096", "5002291394606399044134059271339060502250477013872915581459744436315171687900", "17847401862588400324424807790267657450124074262894538748477700472593651287592", "7263748497211642644347775127663631266398558873860387391450235961732643224491", "16784990268712795227325146647167447564808568889419465142793208850706536675009", "10100524181553008716802945866178001299202867519765638200293731351200033985088", "969849717668279025460480865789596449954859808671475116504168068117029812201", "9894429504425028047333600807249590400305506189626762671299077295148160124312", "3738443755320370757606124094075636885547938855944849351115878638448030669556", "8098802804470485745441227332017457143748151904431756190087328731398016518779", "10368661143550900758823853865222887670645855245490571687183645245020472123864" ] ], "query_round_proofs": [ { "initial_trees_proof": { "evals_proofs": [ [ [ 5342167849625601463, 17603923071232241362, 3690199913469538891, 5447797760340872255, 5256076781859884766, 14969891140352955552, 15740412276623344320, 7056863680475845267, 14144718149577378175, 2874984745839940933, 3774985876369754239, 10900007129734167687, 15347596268313208578, 16565094452790890461, 17937880848229660450, 9794867017849333795, 4292086501236058264, 4220868407656363165, 7013297655964877785, 13773587251189536624, 3750212749397160803, 17589560529207977946, 7955563676914479577, 18230386533233697089, 17026081175319964207, 3437296348753477366, 7028890040433507922, 4694668333957401522, 10572458062357820730, 12751720945157689213, 7187839799119600099, 15267108756301327796, 1465916884608440914, 17587039335625372939, 279019714140232878, 14815824998421133874, 4504135295680003, 2882974714866642382, 12949550110170363653, 7640656270203213369, 8797784687630418684, 570171760513832703, 1654513254575608268, 5489891601839321997, 17164117298534116188, 2950497831665159687, 14676355187494717357, 1729818817845007655, 15359896132402663897, 6676707171197448492, 18118012746384311624, 5430366824700811029, 6664662758112070501, 10471064322520549973, 17576281029748203294, 13578731460213133742, 15642689646282010792, 56950125806416378, 834774444888694131, 4900984672717362985, 8899216293718547825, 16930887418878559168, 7342783823102373889, 10369640208332061912, 10847731057998184649, 5239494979469740887, 13114616739528379026, 12528386948157170569, 18241998395504273481, 10230330586307984983, 14063829968358544583, 10221276844123718119, 6696298544711552970, 4627932207238013757, 18125250373145295941, 10342977011785780674, 5078732692475188470, 8979466261199684396, 10445266111617842375, 7429401837046300479, 10740432266580330942, 6034490829090676605, 18443937092634014446, 5136164106407709432, 13155828087115576005 ], { "siblings": [ "21810965021796468525503274023517747126220810526565718448511962269484311827512", "6287277619867880445424146906443766898863030138388394088206225992699593639810", "21084187714537513553461748057570573586048900322729777026303492390580817568064", "9429992380998847883351367175998895106178013547897594000071943584650283628290", "1633681810735420068157723158713153695560435591381492731392617689367836114264", "4863360455454593182198283509022039316506756278069455875353827090083074770339", "18806721031771481215402000056605342280261887173522409986040398571099341838084", "13296988287977163478887633561241710934376357609961969333121229220737027160117", "18773382088173488576237288752167715690320921102977490484046979361740116805634", "9439682337555909242029497723499604233395096649173567968258918193560446756271", "7948174142344239450425090715618741116151011751994088665602666706060742213033" ] } ], [ [ 995759475616712642, 14900788718801035640, 11839296150066467658, 5892428192111327497, 3085131699503652366, 17124102045618653607, 15083200665815713385, 4208476986889101853, 15047936174111886262, 4528960432874546358, 10156372592894708039, 4174740160543925268, 7033343934479971281, 9967344326063217685, 16803501251032378379, 9682542263105806508, 6025080993345507743, 10701954026438793224, 2539093475841974407, 10802185894765217335, 7346128455099871038, 11902843558458621469, 1192807724844848007, 14309991867267711114, 14884493823735001569, 18121639001614336997, 14118803284985395568, 7863285457421969760, 13587022771432018199, 12958000470214640806, 4281417738419592401, 13693216701134932216, 11722875694603873081, 5271178056530622137, 9710986498107014476, 17163022962861507620, 9326048744937759598, 13108820418825281679, 16833289849525783325, 14468952563280920169, 17701130948951814691, 14553470910937576440, 13427758218422765388, 7995274684555606190, 216707317133743907, 6853020218467250568, 3020079821726285758, 17383489547701110948, 15339020091270503551, 7102530432062259673, 15474953828052111805, 9340989353144666730, 17600671802774531100, 9404955373638226836, 13388471232990346074, 921630782293339686, 13310820034892778128, 12561523662462505784, 2644729459861762368, 472503987387159526, 8127156557228105769, 4919443508885465463, 466982348170980783, 5596583086986280128, 13756656515332969259, 10283021200161940687, 5486539878855163237, 8155747063609575565, 10802776052814849245, 234015986345218524, 3978492076327268940, 11392956044579061002, 16609797801270278200, 12425017631732717749, 15875126890718376622, 10965410185103597378, 13047684177024815695, 7245527292059755256, 5714047601108083665, 12705008342117851091, 3817519438677215790, 7580191017471331027, 16767377629127248037, 2865944298746853434, 15828196835240643378, 13172245020610258967, 13878503502111896262, 9238997246554204258, 2675345954921723362, 279011324904794938, 10469205278927212196, 7559113416468169312, 15510015069505995418, 7390202245607221992, 16923025809965038846, 14689660262985877752, 16984045782778848427, 5537625423932537343, 15056098039651755966, 7276131850710276678, 17485092234095440919, 5912322886444220912, 5465871457944548019, 3641643185400395646, 6563820968900954993, 5548735037510131702, 6263732295263845703, 8636809912509360152, 2422968323773741849, 16538738281276905755, 6277775370670149835, 17030100691924367959, 5828562515575692683, 12195520600875698255, 2324751164345780616, 13344978464929329912, 15120228191098288590, 12113370901582758834, 9382658455226891097, 11289504568427227286, 11101023110610570471, 8907500668931862300, 8845125534815126994, 5100962808591708806, 6435365193713550350, 3774093968823425083, 10742512867504799351, 1014760076242696004, 14465867326631804593, 17422622996772278187, 9145101555822236137, 10207275309237127509, 10995978461592745089, 10284000195758503575, 16239125703018595964, 17644182157649724780 ], { "siblings": [ "19846569495940265692666312233903759137560065507431548348218337488103925508400", "5269737464816087343943112579860843455358165944695168253391228001121427439496", "13975369542375386946975513545548147075125410957042702273319061060761548274911", "7510185545254786884026314008978384216906100589334404400479052939592975665844", "4727133597814203371817167355556315495266505232423913309414833440752053589835", "21195121767705201538790447780453883408799374526826681493643113169897611670205", "14491230044375076375628286281434372601304973356560619705482748865400028838586", "9084471700578419265390441284532792003346372469282982178301735031529569642670", "21693120681333353772049206302454851797672729301192887251110675514206244541301", "15932926969732618086307396678069083965878643936256948757914265489327836553062", "761268218442088463111600310811824289108947841196268282671976078527792362313" ] } ], [ [ 3062971027817321572, 10987628966227077296, 11226556584126382119, 15842294025672029446, 16950468186409345491, 17850659961121876839, 17151198919052371279, 17172040249647605224, 17265704076171006775, 13346476546304698383, 1938068702035376249, 17346342195761220588, 18279478063692112258, 18249594952185921847, 6504451237659933863, 2450693817434159780, 2993306339036744379, 4139010029496859301, 9334925613866020074, 3929223288396254725 ], { "siblings": [ "502693375569727172762672900840032456360905213488617579985713011388002797958", "20259892650121804017508169725465228212676822984169585515212725120786446117417", "11758606773058051953425513339950066798562523576684252301569751242203908565346", "8559849583870455111168528807349829551216312701646285540707904108478755485806", "16918481632292946498685968710943048653856847239830689361396885054385948559044", "11092799746913949410796324685665827181223829851364696292857358334151102202471", "7612135665455662600555911415389714736763090248027792321950852234813264573428", "4623108008590570695946680146315035326893900365020608146947417248784529132113", "12362945857291958023883388058625168863789250766682613058465770875014100310353", "19359663663168595295018028694215340309895269298111528754264866753620704233913", "6041362092266167390435009755689974480899344914809994927268435397871216929690" ] } ], [ [ 8497880193213704437, 875336386029934524, 16562282725248555668, 7724086606999725623, 10901287261753533248, 12062739024231946653, 7204962322850102356, 14955274068030587542, 1701008200348797475, 636165531141067433, 2992497454888710155, 18282858554641212437, 10334699584646594335, 13540308591607798508, 10010296165191095235, 277222666639718139 ], { "siblings": [ "4154371583067473979674996415273136268664527638303019227989180624261612593183", "5537412404447057163414638191411300560372604884935383953362692672289513222993", "4826318845936103929046134438139291864839843792738234354479906091864367067925", "21180562285381595562947455820817579942966857313095938227343489547753411440088", "12616350532549538272926815715929263592857143758885893047245236144697159480383", "948637521764305429281231855719821111652339218328890646367002514150048649840", "16431295085912963201313090318775495474750939535015599812026818610440254910455", "10378685226741740697394774481006396791109031802277214156779687516788271125251", "12199174995786812912361949370200081856742455643612577320550613284231894152361", "14082543066548499809115460136516901421696008230503522108458547343198951083348", "10309410366296487044526210374248085856337160521308906667502452222287929597396" ] } ] ] }, "steps": [ { "evals": [ [ 16508083547661273687, 8503877410022058803 ], [ 14720034984176835775, 12105838610448591322 ], [ 6562813843741335923, 4600297406351625417 ], [ 10893216980575794054, 17011752426283651224 ], [ 1353573451147971935, 8082755430640911360 ], [ 17780452220331589229, 10469792312279529238 ], [ 5517957787035175331, 9720279830190151818 ], [ 16185420130737492771, 4828290413571732774 ], [ 10034763056503017101, 5221445247708466580 ], [ 6869235089268120551, 15834549451063843347 ], [ 8696287336129762721, 7342998541364439400 ], [ 15408261516459495424, 17127303750061598807 ], [ 8852502830009597806, 3847665545422489460 ], [ 17878407156602527210, 2966036361088665407 ], [ 9939558242460488604, 13783116880913410148 ], [ 6043126032578146767, 2722412084208082732 ] ], "merkle_proof": { "siblings": [ "17979147172835066167898991484278975483909836592631404565018728332191062333078", "7962693878636904706890069480535610454749455168587867745157169773129609854712", "4898074693723902735947419064277256364065583940857244511518301522265743982111", "10869542068010673235845661404320236110414222593883224913018348692135220720182", "13423361466211420901999668545504500740005654944360636936674437408429478004884", "6130970482518132376307316306185324385586398096042651998611656514332436957649", "12274330536960012994687889086799633981594507059716849185375360716468518146770" ] } }, { "evals": [ [ 12879427489514170592, 9783641470256454402 ], [ 3817275388435445970, 7210448462796216357 ], [ 7904143123286959206, 3319388731497232718 ], [ 18312493766833150896, 6223151248945633206 ], [ 12639974829260055346, 13779325264233462455 ], [ 11060568982203186273, 9205691045086165972 ], [ 11572171380239777854, 8177901061414293924 ], [ 14298120397404724847, 47454057189180021 ], [ 13240420395454095659, 13540516850635545575 ], [ 7636194253554666709, 662941739517645192 ], [ 9964752509798414677, 15937867453643067932 ], [ 9381002069040552284, 16477534056400937076 ], [ 15727072664139578111, 12296561698367826024 ], [ 3497447149402818165, 17479020344034630971 ], [ 15115763574874197863, 15169349958873355552 ], [ 5775167967890866957, 12830702084686631190 ] ], "merkle_proof": { "siblings": [ "3539468033703367249999643424835054795398378416541370311541574715859790302526", "2364916644140075401329147366346039296095368903665277652676832290978313346265", "20232234019866749471067401372421659430246226189073288803212665480550644539473" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 8147666597871019206, 8547644733641033157, 14029917199587267937, 10182578952021120157, 14514773157489985994, 9457083144044054698, 2325494098186762363, 18081168336878670652, 17286942411046661996, 15998423806144312672, 11897161448046024266, 17556257113883627388, 14239671610451174752, 3605301042425249534, 1937027178474958014, 16625649409692096596, 16158655622767666175, 14766368997689571344, 424133412970161882, 3336986173631834585, 18381564733779201395, 9350323784582662485, 1571803487631742871, 12924276240726609955, 7297461787978640621, 15607907988755064474, 61940960855419312, 3560413436954130482, 13994285853779501453, 8289694357281173849, 15014173763333530128, 8017443721699050298, 613285349008745994, 885403256377138957, 16015183232848323555, 7901239136238378873, 18165886707825976799, 14232161078135209722, 6818111668627583762, 5669292344979986977, 9217765894484794226, 1148841134748492102, 10427073749556779852, 13655194624656689162, 6912792035479693006, 6413273917069654450, 16141531760434628217, 2444176070836519717, 7589655258329744340, 7382852066057640051, 17726377598884497134, 13942669901372811429, 11283471984572337311, 2050522020767160191, 8227105791418292661, 2319572119328572700, 8166094181489144031, 9552911633424268943, 15979260992424760244, 3312659932982677351, 4413739275884409055, 17586276282671753107, 4785338033597206651, 8034555150592932342, 12925241708224934443, 15265564607371176414, 8522278840284841670, 8580108032840433703, 1611270312347275646, 1667355574556605132, 18179164690033725054, 15407308303967903442, 10490747894285765762, 11647888578572267126, 4020352158255491968, 7532977828613510237, 1542423349437097411, 3817100561133275507, 9858610861844365954, 17533721954634896747, 16128973275362844267, 3416008139661168617, 12901986472873516379, 17012166190056701015, 13141158810352199840 ], { "siblings": [ "14775187835885089490129118661727285888809805542429341358431285312373977124648", "8065456826550292052940027527283406188712914294150134742802209384501673729001", "15955993508774797145065451777905139227481701349794571891007623577892992483472", "10749967826734823991039666343418174199813737111190981461870158377566780527514", "20478399626248511127903066688764176089020767194379485519299953209160429965740", "7586227714107539525642156244912018248039458868702915345750115646566434289943", "7004943859823745944208446157995431381714174470837838242343232983471470582093", "20964890922262325457826497730584131046819102919819113839285243816084510996777", "14760380283216759824017417528510133338782482814690100299037146224161851636064", "19818184765142587624909080589500523883068875956050205003939272581142722770878", "11410393981632100027118793958683349566976938326440930223595603318513574619773" ] } ], [ [ 9067470512808540559, 1829935112290794249, 7468711395499923283, 6309279150487526298, 9144756495045887839, 16550038353728114874, 1266401408451490288, 7189778178614876611, 7718549572203087357, 4308963705255988283, 8831553533215144370, 13951129575526765672, 11957142067181840064, 6599009794701994924, 12271769901551759013, 14866706992552963412, 12387065638293188090, 10759921084339726236, 14105520892670499369, 13589880846350189279, 4184339144220020522, 9950834910409220205, 10382306216208694621, 14171944771362937491, 835473309830182768, 15296650202614922794, 3058181908280213146, 16583366903483101759, 17869044948229996365, 9775017593379672819, 18090600681354359350, 2950384609791920353, 9999905249750276600, 4789301448752966458, 4850697416198163671, 7852166078215179133, 5290141885944289960, 17914086984491136833, 15772770068003588255, 18310357351519629743, 15737146143140245113, 15529484273486787213, 4666594331034727654, 16167083492646557915, 8969221178819124148, 3525843281381264232, 6224021034630281036, 15196964395043927111, 16558552193885838967, 16199975507663529075, 15182202970212347430, 1968424268214039503, 8098012584689774287, 5151791241648666057, 8887156195410790430, 16440507747831556243, 17004744958576814376, 852708333561105106, 9619271035398933997, 2701111253448350334, 15369099615189920020, 2761908657055228801, 17591074414935606759, 7295854073277186239, 4699550178000355131, 12882188462316694242, 14191061170088683191, 15719808942850835051, 5211299665457681544, 5189807542148375145, 16833068266642776322, 14271703720471148245, 17924385555443844783, 18414121799988972360, 10189339343777310086, 11284681408417772101, 6084884797470919343, 1122305857460599588, 12918013725761280751, 1433083871425919079, 10692643897800411228, 23290837711468549, 5235415994357898684, 9275326928868142324, 9800853028361787640, 18087983861284537503, 9096672518015889387, 4876650876686699606, 7819981868509772219, 5052085781093653709, 15875737852790773857, 2629924365806328558, 17827375865876864560, 8435328950564829720, 16600256784345608214, 5667819036032722889, 3461666265957549907, 5600329069834892636, 15698692932376485190, 10078131371311864083, 13233071590209522751, 15303744243230372876, 9586513595287976672, 3403404734313312964, 6680151422454890843, 16174196304202057947, 3699877619621830315, 12579894408102780161, 7211579745914296401, 12239154250496670913, 4234306348122640502, 11208175901173040317, 520271967519702493, 8597699956316030623, 3795502395438792651, 13192534864445695618, 17270539470263059605, 13820563146511480893, 13021465830458295169, 7240121171979290836, 16669283701537336460, 6392919616992855015, 17170791632419993092, 1457695840657724458, 14760786838858726537, 13134360107388353199, 16765396664522865998, 16059055180314912098, 18334169651255275159, 9506614706563894348, 7377097348559035539, 16594714262418582823, 9398225381243607726, 18325031576319283034, 1747725136035113852, 17311003152330471450 ], { "siblings": [ "21393223462411747446655652899711447000333113756259919272738749359248990209838", "16115103410590892120586629915293335816466346556175051611689939785740772866113", "18960249854512163686964389367897962842334625860161023967860688057257989264058", "21615242990964778531440313574653855441584237025618130113022833578741076761932", "9630446957467019912842474130428803975581058638378412698406948376439049013053", "138591289439720140068639119031520512088391198199448182348106134063701659905", "8821883924452632947147389603638135182419878569366072395633542742911888043207", "6861989699473685138553695466774628427081626064249105769110368470580744255904", "2716581820487096473224922373928238009571571757251456677324127194794991499538", "14420626252232300427576175922923241932997713563484807021227509549420874047991", "17340572103671366872231609479839736501142895062021429370829295567806406766044" ] } ], [ [ 3608728643640234537, 15999619770886635359, 3118539251562524429, 15896614113360715500, 317322512412627408, 16667338160643761970, 1711741164790851220, 14349226245874360223, 14397752450077017889, 6811111537207880252, 8627287126845426604, 11125978604625373214, 3130272553511463037, 18123335276075512032, 9111327047032715960, 12308095424530657596, 857259975496022788, 6082095300911328777, 10298939932415819215, 7427102070831117467 ], { "siblings": [ "17414043993929858764811477320069718218736012532607274497476883309200636741351", "2605946924425161947980113506435089965016437289466017315698951509434113966366", "14090193447735193698789645153579903982322457684375547410421814657744414649331", "7094127612067846501720687649414126592900710155959261611498105923204326399582", "16275649273717850520826924799731614993389058103186289944192647922749283063806", "485773078097430338282082369828604262412076473756136990464445827249269240281", "6124922091651352793287964687965552682264395913992876340096765706366549259896", "9548839364934428171095658368683056543636186827778640305185623358901959347225", "11854923128397471326457530201909864001896183713699854148684678020410934854522", "11981754120792667534909793275544873023976114552693813944468189988461806850435", "1568666773699315356319810702082014469408311609793967537833047221884802211374" ] } ], [ [ 13022277122216390303, 17856553090136884229, 3683476769950186241, 9016439825244762622, 5557788548287912054, 3114551636258792018, 8638647897069767990, 7619317476309266870, 16440386721048372672, 8381903182446596357, 8358552744392734627, 6438991361739858036, 931460407963251264, 6432865630559385357, 8066732993452075622, 7338358681229621068 ], { "siblings": [ "5974994361572002134434627263182700980293236640442818722190920780134137740500", "6720887248412213141193245778657157641764373444702017175685421916035616824298", "6947353501421097470304073415624159352487312197141503742125231358040410186155", "18895632480073815061494238399031407540500287692224529193046596791854661466061", "17557211466924677804325464436528436687804075229645545675655158287547752888007", "4817865192407982789418377195312360964898753823189507883198932406596528052603", "19679827248279955703092711156462198163382183405000483672929082918985030556807", "14109370667329577571452885512724972241695953586656907459553386418571013589180", "3856585901464623850946970410913830636704880760857941142077262916022335649178", "2245190645652259106129320987720879991636099360035005339067087078153149429292", "6823049955696911371205028471279451238439945858917402969382635471206246075658" ] } ] ] }, "steps": [ { "evals": [ [ 7161153194041169820, 5904719466524133787 ], [ 12998161519923122116, 4653090048233435013 ], [ 17557558004651091947, 15538265925976324659 ], [ 2051282681130643793, 16682269474538258130 ], [ 2692269109015358320, 3003912971289050636 ], [ 8397382401508420750, 7284936077478939952 ], [ 12475773980356820397, 1563553348120836776 ], [ 12097770696799475932, 2627624008733172526 ], [ 10326573971910874504, 350014841504827609 ], [ 7383881608647831169, 7323840874545990326 ], [ 11166251750986122168, 436909696501298934 ], [ 7963724733113445831, 8139160440729962496 ], [ 15521974701232785378, 10473518114531242760 ], [ 9925893811821810302, 4177534038528693533 ], [ 2914608666240682935, 8992899603921185633 ], [ 17109668914649461315, 15613713080730800343 ] ], "merkle_proof": { "siblings": [ "6398959398580827260771820320168205474873063995999833302660480835359063500220", "16477121631508085114360882340301305704335935916523953772581391854416636596386", "4634618822334357892189665757421550824239544269567019917152437110908687389018", "5077895623600738681770062098286112166997462785885422051701208501613089748917", "3725990918204686913232803232719169067837080478302955364094492951624961561282", "4622295688935090993029542957690527984530581739010033946532094145484122560995", "15910347887757335668719925594991933766312818244526317248862611146594682751550" ] } }, { "evals": [ [ 12215715386231800965, 7422804933894295553 ], [ 4290916014340433121, 5792661304286825477 ], [ 9157006716207395988, 13900843233568167638 ], [ 14880271710712218247, 30277251592902567 ], [ 2138569817726481130, 7109949130478968754 ], [ 17855601265154496942, 8893896277440772008 ], [ 16324162776326391814, 18359747264312504369 ], [ 4685086503275557629, 4503406027736903602 ], [ 5627862226708763444, 11957103963190450380 ], [ 15590604460378734035, 3185599271050837325 ], [ 16274755317286796182, 8499606756702754368 ], [ 3358160890023710172, 17531342875409808990 ], [ 18339565824572592853, 16391574259385457108 ], [ 8042329563955079592, 12814908735413496367 ], [ 14766841318356419171, 9190565776598050686 ], [ 17798831409764519602, 17585473202558729890 ] ], "merkle_proof": { "siblings": [ "15959913482621594218271130572126806920298562991730219753356319966271924193161", "15093489830961824798016121142153544471583761745327867096964665617886454836057", "6249052697372240547437650557171329828755940454127697002572755862499362642992" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 6168164447809489423, 10510324163567575284, 3764862393433188069, 9100202250783293173, 13070626715100392714, 9413646839195298858, 1559620671080210951, 3118537651988532774, 17049681761991979056, 4073307458415959032, 14261658208567479489, 7085572139423994263, 12223618804736756065, 11870169913441576236, 16805529034713895504, 18095367036159970794, 837562132933988736, 9988861962396798262, 6484270577203770074, 4615903630144268296, 2709363198563624902, 11001555676541445910, 10974171042406369805, 18351333764879670917, 14013396657327266500, 58323356164423252, 6522970533845722755, 16393398167085450830, 5892886022270391528, 1118476451205311092, 12530235170462551757, 4528145452305443060, 1978421572198053405, 9271644976618925134, 6435007453207759735, 1227847948784881528, 8011817185951405453, 11379366643981512246, 1678983304519442882, 6483580154439702714, 6700233702259147762, 556223925790299245, 7514072894121159900, 12089210511099574987, 16202897714514348140, 11002845393712674715, 5910096699326995279, 404344995713789230, 12611737553153370018, 1738708445178486968, 14379107643439819958, 16943030102363055570, 11627138724898010272, 5165703505770745122, 7847613315488475209, 15435893262985205673, 18057030009762365376, 17209776726757574932, 8222768880176810389, 12258378448888558872, 13060257545291685138, 14134842831775822893, 4475940618443838423, 14472391162909301184, 15385421418137816805, 17199130962062879399, 17891901763376656978, 12757623930658304317, 18029403130072503293, 9083370766636010530, 13485538709451354390, 13482966906888321766, 8788805770273405081, 10813270769647307305, 9718624073911474490, 5958241454292523944, 12197661405676459370, 10446979707611913092, 5114708466873196305, 8079593704112035114, 6956786966951618284, 17674204946139908000, 11917503119152099681, 16641629278382311554, 6439617541404869755 ], { "siblings": [ "6497927268902280588844386014284486130845350305925785146651506064366560477366", "20886321738236083697148327166407814267089315101236423998099041798378954049734", "6200098345711830988722523264903134566594120226024726663308256622573354221331", "9482900048827169659367012385249336004887430395491954588508980948801144736423", "8361240482061677645317024317672508137188104042529410646037530991264521329289", "17880143272175671119440125597559894853474047819029672044121102417494416927554", "3936156819389989327781109737278173719625789504944868818635850855019719922845", "13139473994943443564633777364079444985812913781362862421505777438239963742518", "5760798184446284164480296083029053159650662983605164992603838296065832763582", "16819630042461689045700402760937024291986796495494448002352926203767678705555", "1354286754136870287717984902473860178582539793370296699721656031020693759964" ] } ], [ [ 11020959474041463902, 8351036438036430737, 13064389021203241896, 15265321872186152684, 17385719336583226463, 8358642656104131234, 13184812993743359360, 17966631329568385537, 5394408514536956961, 7082633210498242796, 3034304237517851335, 6023921054490866465, 6144942438681889323, 13165169323615473708, 5213351800188752821, 14599695601891086174, 1605211127686263378, 10353114087927316188, 4288611937082812165, 7915742315190796237, 4954992719409777090, 9895659109045226784, 6499928888508564429, 16565773301797931989, 1772796492513865838, 12813741282099165600, 7715554070251224204, 18308738334941613128, 9467346184517008079, 7359059768788420065, 12170083593622554925, 12615935735987438331, 7155193813854458042, 5894302754375991635, 6125807659066928612, 5114753199360839255, 14838571179002859465, 5043835504752788817, 628185021158939269, 3949658585893795059, 14379406959750769621, 6566162677660497882, 11943563286098041717, 9267751431358210514, 1366878556685507763, 2696948437415399628, 7078743811606663921, 4905476150213188820, 9072722612128657880, 17928530155225946805, 1743903764952864701, 13838616377121892036, 6136534125997066219, 158782062153498312, 4749663431753177477, 15395499486616239956, 10566348893098247535, 1697230021467275847, 16131405759503570545, 4076084588713737677, 305447558308349932, 7605686041455218496, 7452917736124006288, 12686008142076743178, 251542768488683007, 1820271329099035258, 7720563461679498215, 15942725533325528832, 15392320805563764920, 13647189218426368871, 4895672200783898112, 1017279409402227683, 14584130427749350442, 8563867233289148429, 13214332668349250989, 15653607224746716003, 18364757159293430733, 13467498646528038609, 13400661919199041382, 11641843768284319717, 5435522032536191899, 6626113859040071720, 6117091321622656461, 13719086064940048445, 3768069379447693156, 12375344444030186198, 10654994443918639918, 14400984058781059749, 4947737124207437572, 10094118726680547839, 16469864265821249280, 893725924355755234, 17002698061029571741, 16432389223602144772, 6899439327826689419, 1494833263458913212, 7140907091759175191, 13580611539263622908, 15499433044482948972, 14240282472621271637, 5965546671886795144, 9017805214742468696, 17565005805912160202, 1479759700434810079, 16868563168023304399, 10963538772109602582, 2823793221781714006, 1218784475333835584, 4333298405449015919, 8443551484880824810, 14457023893543450816, 16393088221576257041, 7218090628868921564, 15416773145032942841, 15657207562908796643, 4620800799786793205, 16268355070638754269, 15721470952353114987, 6011616330235946359, 18237162363426100801, 7744774296998983806, 15274101825997768692, 9202020683147287360, 8607985912383110224, 10917777349962765630, 12058188744220289154, 16581223546766052916, 7637333324777489551, 9579772170483625412, 7393622827637700817, 431481769223962217, 7808857301343696845, 15212070766485806334, 5845941642550227469, 6487972329667605558, 14693828688635531072 ], { "siblings": [ "16987794963235799763414798987284664228931046049505140607786958995973915468309", "14494990362015877066687952551456324509659343991573990675226035410296079226738", "12695128671133697984945088320511051631733561615700423397705829329492344876289", "4429457070225079468977963368261866090586914628217473333823587191459388154795", "1898743033457027363416428836393037376928754523618773349628789634804632541521", "17641310385637481137523238109422009817342456777768999708079558983463421462515", "19684893543165471247158617375605111834506118125429710435198603909164944589932", "20835007428085578910193889971415585698508490734906910668871593091796263153926", "19944201790383279605003388399111957310918324830678749302279669438824486338107", "14051258656050503915093747933415630961987148932840293454728163166095129681929", "20669125905954306971284862012022257642416343426441735511059632135747768367918" ] } ], [ [ 5153836323350370802, 6067199110515229993, 9065435362228540573, 4428468996076800340, 10937554313471738189, 5153830515224824235, 10796399883222149339, 8535418778275932447, 7661929993166108096, 1525853535164291300, 17068533908513207142, 11420448809154920636, 13419434327567449581, 17890496106985380750, 6089913436911502602, 7179373766685070935, 14498570120395806081, 13484211747899400817, 13429593750965221140, 6996563960966640405 ], { "siblings": [ "5117846020741190151981975750593280799176792396431031158892315817526045603250", "21670057054085664865878971973973249618449915188668248204365759658997212023130", "15473277946662301398474138692968148049566831088965333512627733752134035823020", "4549127329065552139810705185668126452128791873098626190600656314004337911138", "14507190743097769444013871246583861210457968396479277972478623772312060241456", "12648929397800126235364060939016736620230853604166027166503098286011866781390", "11742339733506777102894596429935484117600585951026557816946778991238840636558", "4097706141365733976229286133027694159537212036013846423120691469315363391285", "12174468505834585985159560193498482031502651201106536014514304287857736407062", "17721485423362937382563965514334863144627103011874648202464791820555338623258", "8671238170326424345436688123150154603015842827873658969205796830063683538143" ] } ], [ [ 11990742100302188580, 11511633599573270157, 7962230180102637957, 13092542176812772818, 4658466564847016977, 11545340458349022450, 9561698258405397415, 2208611662919183483, 17788204658038934383, 5277966756314481789, 5805786628494912834, 17936396910503446991, 15800529019508203919, 15774691736301622771, 174066258356541118, 9431733076986744601 ], { "siblings": [ "16074676151370101262375567626717905510136022504750811293660118632219349615947", "20604553648942950019685366888674524079984780782034537617967246232214238406181", "2311458681017333694997910030403889255102014766360403247378001416291115904499", "4326410763151657996919460373294346585890871619487916103239029884595654819618", "2263500466076164466014609774779097263392827034387931090030009299939177257896", "9731254837269006863394101865752044741470543314929077097064517318507012261298", "3292168064025416321863029305614816164403808334902310746414722226632058141162", "11832930913683734357831702309440689867307954730783905974773840297409133819990", "8489301754819858936361461674670529211676170364347025604762323476406633869398", "11102980984312091029824587042749369446384981472642227575054903434850574051295", "10763046211153280455014893773294411345735929723099545066033967035205714435846" ] } ] ] }, "steps": [ { "evals": [ [ 2851347806270265408, 350856150955613403 ], [ 773456710945475643, 8606982353554568317 ], [ 7765776215253295664, 14422127147263852390 ], [ 11837515213645839705, 16682078174319171041 ], [ 3178027941911475967, 14874877409175658263 ], [ 9842138557205062219, 10788111174727811055 ], [ 15759941828349181690, 16887353960003662515 ], [ 5623037437024510151, 9476374082344897129 ], [ 10312440639937611431, 11064862449346582189 ], [ 6140074746065564694, 11269373172227801806 ], [ 1678206825892757282, 17005040681447416181 ], [ 18273000952744952194, 15289603704555768713 ], [ 17562103941597265850, 12476451564025372099 ], [ 329506199657546701, 5404293654587759120 ], [ 2077294857381416822, 14299756803394648128 ], [ 4684776299063160942, 5725239830175206207 ] ], "merkle_proof": { "siblings": [ "3257544887730743324279283562722322253824622760197677449059672329066960641164", "3856544411647780601681174257946657176025735322118527907770482454363280789794", "20783445883215519646323190389522273269585275469769053960674453599963254921483", "6490571793567649863355886783503587122067871513881883409672128834045491600056", "20241838197816636455851150191574479303258908009637594046483345337781201078752", "19436649224146862693340885423209362031178043049008475076819643830768064503678", "15587317901872479604683513853279971754560747000349813920441898774691291709008" ] } }, { "evals": [ [ 1947957776131508317, 3012999728181705335 ], [ 11142528092507880658, 16030396216997960934 ], [ 16655343673140536727, 16804574107160227575 ], [ 16047005965898498884, 11171472134036061942 ], [ 14115693210626326719, 15003468245412359078 ], [ 1397288610825037234, 16615466676629899924 ], [ 5330719906411790238, 8330573160687327072 ], [ 14292651709553974395, 10865806370366755003 ], [ 14658337215482095201, 15248152974106904537 ], [ 15630792009971815278, 4868464806841409062 ], [ 17175716747537145028, 10794745980013310439 ], [ 6184869517957224185, 14983958897154595160 ], [ 9401929989670728596, 11770861008792432075 ], [ 13510592288931370511, 15166778119662897882 ], [ 11050887377404853290, 16295584965250459708 ], [ 15996673986403740910, 17935156213214458952 ] ], "merkle_proof": { "siblings": [ "17171980702282062590962189647305035913947505786194269923579129798477127013993", "11529300283814011771803761436576381072281219358711359197666179076882253842960", "2802767802210241429665757639099976771357904499696427470007243779135483615555" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 635044718810189375, 12300919846686540846, 16259809184838310587, 5354463783920320500, 9454710158086713268, 7208220406853608278, 14015969062404352317, 10434928623814518639, 14477649380894509894, 13264482009207870532, 11515853797474261692, 5100411483195453415, 17761159807882351448, 6155751334114306192, 11782093159683749111, 735047155443292046, 1735704551643105915, 3850520210819761440, 8288531057445728116, 12557140678260983229, 17190059474496500194, 9311800165387865070, 3797090123158262380, 10046315240507955522, 17396152940430358476, 11497444893063197327, 17182924700911821823, 3215167915751191243, 8885223469412273533, 14962445537027840852, 12442746133124598414, 15997804069054097959, 6617538095324058296, 6688978935204577166, 10698569414287035093, 4474452886593246538, 10163650341186818664, 2132281207169405802, 17611599397631017713, 14184980008911342705, 14307686737944414538, 9813253106994019490, 12443902309973005080, 15253589466025346377, 587293557888571786, 11800029699307171420, 465194033230769208, 12236753509386143175, 4542524495514133199, 8751882304177427802, 429736144536883399, 13365125802578834495, 7158530262452682217, 8599302870030127801, 10675282199444270415, 957981529822508711, 12060697727170015477, 14142523958219989307, 1220506691929994068, 5132142041218853772, 3950208702889276267, 5373083380475096713, 3295191910740302929, 10020424620809571255, 18429626589762840038, 4592109917682933552, 3910709263095458835, 13239263149671467637, 5888637694956706497, 4925194835847662090, 976484357649834836, 7829255927482962670, 9022820469516946388, 13899018257875965859, 6193360744070765759, 11877341515878622383, 11161105283754326004, 10840761599870596979, 6301982288645720802, 12155564876655169782, 2412991537682811959, 4690875094511764500, 371785820750459415, 4611509880812955352, 16663894134623430007 ], { "siblings": [ "14047397972953920414114157624806055475322079952478416986664809799155844154443", "2244741689224515255063295669414130004421487455268447216090475252836410210130", "18119524011143700217928409397700041732165629934538435170606689567414722643118", "4218565404704342985016302450548924501711319864942608631067032392844056850266", "10036287992024408117222205121222074635245045301456155371386010123229045427200", "8132785318100028052775112566514476406418997075633683029269781490901891496013", "16505330181901642988777846823888520888843090322083742907206755560004708395079", "14327617715133322018775387575168469527232939357875965788739742274310683307345", "9062413499024390577333971723994550999175289838361727575299528856956220361774", "21708183286690860216411323023746788601520485266181963266319888426417886256641", "10473745759904310706563711899567062903308191189379429583977741497815166787818" ] } ], [ [ 11618353039808552710, 9818397288124056258, 6162639346223789527, 10822594845256909640, 17177340797462512680, 7446356962330914258, 4657804676424913420, 3811969672884408674, 11168363636946809606, 4210680798527505868, 6565532466800419115, 10246256409246216836, 17240232941562769343, 4978867637334856327, 12584383661778388716, 13827298632534357365, 5751728078797315298, 4498753478256220223, 11035146972205643966, 14021448269515515044, 11546492870119062338, 761205833830344655, 1026239772265907976, 3832929361852366512, 10573348741033371623, 6486659008101744819, 11036927999796079547, 17900935253818918865, 15427807046542580298, 9257491607758892461, 4423479078285814379, 1834478876006541408, 10824298823303377134, 15206957800196937706, 16849538478917560707, 1179548518289725266, 15599181888836814345, 18253483824055033851, 1985765112430840900, 13265176917362235783, 2339868289084915878, 13039174881494190734, 10720034938507252692, 7233247401466779563, 11159968518200057426, 14087853810668694285, 13295777749693803057, 13864488302011568077, 10708533953517798604, 7840033512738551110, 15679691960485678953, 10674497784688357255, 14368971935979257169, 3504296535807107837, 2457679897947066164, 8982699670511251166, 9359893918930142405, 8893108533960768736, 12139459017384659834, 2829763899888182473, 15374567991234492262, 3652323770265913926, 15482934982182718082, 4216167531531160547, 12439788378788905465, 7487274069327733468, 2334585730928729667, 3825575733356507111, 298326008457935272, 8642286396476947053, 6379076986319049318, 2428561017503504707, 4230240301129312417, 12294966355905087733, 11593780371040151022, 11658688242521955738, 7836473714776040496, 1345348309262083085, 7969492448003183890, 17404599899884082234, 10118753506663119956, 15287331462223973285, 4608339814877377047, 2832585157982191199, 15688107887601640750, 4104131509655860963, 2968930175352105577, 11702172369982248294, 7451356358887212180, 17436629364417018540, 7776690000362023006, 15093346944119300310, 1285666118449171252, 15754063986694702269, 721261960512925733, 3879312746409442490, 12443019261965846972, 4348678513160546941, 10067226729755216208, 13250383891606863674, 9937807630333038746, 10269328891822913153, 11219808332311933509, 13861970410524143923, 12546977634938051018, 15787492154464958550, 16755247521288396772, 5620271948729364242, 12951562527330340375, 12509554264533785277, 17065664568966942451, 13262428720726599686, 12917458283934305244, 14883662030946598131, 12779128116470222631, 16118556693389737553, 12343516951698948602, 2416033368508756100, 10954077753095547874, 16628849986428502063, 13113605920663837486, 4944831291721113664, 4438654697898284068, 3626671516984441565, 6407006920624114113, 4457006923818973584, 12867372917174509355, 6433333476640151736, 12503474258558009622, 6627662012994484851, 16013959048262978133, 17107355831693711528, 2128704099866351672, 6579746734872109945, 14370426465591055558, 9302343092176727436 ], { "siblings": [ "8548253405247242066218139120921950401469457604596767796245251025559095369631", "2808462446969049214992051514874410211061557705581614144393572429747797133476", "7607345451059455404090808249284305137334579290815851138637556117143896350267", "9803126727317296704221693168914843944072563691721183082565114570948768807866", "17854981198275118039701326196032731318419293735943200790951451356043785755874", "19515576655604048439046052551162662051085577391047219204262916703649032031597", "4049191310864181501091225572062952800919956094135110999082464185295704206309", "15429893584412956017903337026893640730772550500588983918274199355171396616562", "11400354031400514645006988515805692748922033992516318162151132119551342182347", "21605770718115757530996518872104991753321008118295346670875075510732517045543", "21094010609046404544729696594203038921350108548036703813499958325842886642948" ] } ], [ [ 240442683133948957, 2174310393591697652, 1853430061929527934, 7824463888635307529, 3727688192020427872, 5508713659918837124, 8410640686225210231, 14258282488532369186, 5058754198223489701, 10118158180724887663, 11934832461787595330, 16492571392471827131, 4110112890411202783, 2319518872304388681, 3432168664204507158, 7019889904069603684, 15846404896544883465, 2934473060205207606, 13509364153981307421, 8786805839603111344 ], { "siblings": [ "8336306199715729253713824406786814476575469390251071537307430545996193939458", "4330672501682197039103981808123112094413759885120241428360677042249846407566", "644379066012547419555122749967406233142281628585073153131066903479835257114", "16922259999018491190557388257793266045935143451700577678126122383709975958837", "16841752957235299648504985509194489083713322457491658386231710790844237464689", "7311019117202299553962733816716751665192930099876269508758387331386372133119", "18314163914285274381592841457674454219926675261260567957395727904859500710043", "16967265421103668113249855705220716158976685422631713240764675579242186601787", "10825532955417953511848119983595678332763132117219192053643728370861675103685", "7315959005549234529271054074029322210750153628373019616872701759006275982800", "573979963589026694794565661404029811768852497930576570318350845807524126053" ] } ], [ [ 2706160194167135744, 10682953532261967338, 16652142573738940973, 14869890666702019144, 28512731935156921, 8527593584265539450, 5612381174055130788, 2130415009497412520, 14630574460456287180, 5092684764105690464, 4716520622586098712, 3433026870033278418, 15657874088557112688, 5506166992783919852, 5873756579152026853, 8705789922339705245 ], { "siblings": [ "6898474224861608617382605858837188774286551174921360331035032090263823723223", "14836873330371722965611532704248303808023806429070588792181097306607277882746", "1991610648964602459736189782133315937192296522134409972529399939161765808753", "5623947491721856731494581124138360218529751119213149006287844044878115182528", "15109169307160991676687427880397144009667908750870764325667309289240655455678", "12635054931395206671803450026855593201294019895107603303295326612142063284686", "21832485721495061908075883642419257588014002713397072055105319375615041438635", "14889433121044788922859010787170117328366019718907271674610291578807908108475", "7853310409714638080583931691329756716781698256828370159602533324310540364152", "16316064271828486384222433267217127642640555484726761599105468689708356221688", "20885941861820795422479270130794798379837611246823433748683911187741194319229" ] } ] ] }, "steps": [ { "evals": [ [ 14104971125263972381, 11293706595894299090 ], [ 11104772934755358162, 5532861111206850006 ], [ 5109685475289053800, 489920691532702986 ], [ 2173614653628366399, 1640213331914818600 ], [ 11844491426255331072, 18154962256928458332 ], [ 2554162420970807939, 10878538904548592633 ], [ 11600387939840867491, 10748187133181492322 ], [ 17558271843745774152, 2139440316267119281 ], [ 7248886339336610649, 7917600812335798270 ], [ 6095022589810971245, 11649561970231368614 ], [ 12361585386957207965, 9654666526799326322 ], [ 8799495341021259415, 15366351437364429358 ], [ 1652748590701943936, 11439978782761922809 ], [ 16842171034880374096, 11948757542090356359 ], [ 7005926944226836020, 9997028334725088847 ], [ 10053029373120197287, 10749442852126748137 ] ], "merkle_proof": { "siblings": [ "3814865436175289267292402359186343198083503460048041701900023416703823301656", "17875897826115314771959503528343797155871698127902005190086629815775902076717", "19664468250020308445536497591550461481658400080192439581465290681735179017520", "7097993720086696496683360660433941152845693884213381355184527379945127863698", "4710651194101352348956702811138181262429167227546094408065133569145603713771", "7871402911958278634989259983560856135660013273202347310990260357080094277664", "21491047412266548161452169829256943866670634365648239031165857933689250977697" ] } }, { "evals": [ [ 1750531089158783377, 2813847818918195854 ], [ 2753291927342145647, 7274311794390175156 ], [ 2585404603468115940, 16122239401365224507 ], [ 1457004698140129174, 5521790764416129388 ], [ 1706673094810537024, 3158206929648172485 ], [ 2800937127268359710, 1184435889003705715 ], [ 11867206724979557026, 2450588545844632671 ], [ 9723557192539267632, 18358360313969851720 ], [ 17860288886230103985, 12989582566909299985 ], [ 15759918269656233793, 14853419717891766675 ], [ 6834294815511418035, 15253474856463298057 ], [ 17899830769118906411, 8309542905170503062 ], [ 2420382503279278688, 8108130236802096506 ], [ 4136892682859349717, 9007356510151711427 ], [ 12078118556530206361, 15535991226651592639 ], [ 9463117004416658160, 8439876880843370228 ] ], "merkle_proof": { "siblings": [ "6313186628268853763950136130246489917342875852935187903526301065638434572060", "6186978721628931808627034637902604464394017209621564197766366059403337589469", "249385136479931839536967882571789742558677555425824503747836328362736645419" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 4166567881300469876, 8691384953763189197, 5914066637506103235, 8430046854827120929, 4707215071193947573, 11811503358994115918, 5614605240372617643, 449964063629245599, 8345483416346657730, 16168801520527265618, 17896011851703387238, 15277032034918188463, 10629030405440822919, 1699688420615232365, 6518920797578375743, 12663957557375280867, 5446159246606649889, 5669944696659400592, 10310974505744199615, 17711454212665900736, 4308688791200415462, 8448352814366877290, 10400509651309928780, 10905736012156313826, 13611658932046187238, 9273582885905450250, 6639352916841477139, 4533746204202847189, 1191365933046015734, 18371434637782309812, 2624949987842429626, 4493617211142895123, 11680113643809646158, 13088545090950509996, 11844660497492443270, 3626991404083525435, 12741475849475958593, 9706325943439351600, 5132425589652884852, 13714027189578650684, 11713164521218667377, 8711524176363962378, 14595786739557453144, 8568902601277021734, 1270847826292219278, 9089165368535790362, 5442988298652700317, 10222274150003875296, 2620099649672967319, 11601331752914244945, 1583826150985319587, 7817908270739716389, 536220244993415052, 3465629408844524063, 1169152316715484575, 10575523943342100143, 14427313993577397574, 5375484718607677044, 14275643744837071077, 17689729902728820716, 17166670387300111965, 9599166115897452356, 570594564969028776, 10014846938370721351, 9879076407403454594, 544272641073601440, 14831729337941714681, 5082536835027193774, 18029902624482474531, 11449731864286525316, 970436678942864661, 1147902570237251079, 1406591141251516036, 14721806815959674048, 18005787454004954724, 15626211039596610819, 13405200798620035631, 6495382430529593328, 2981518084167838078, 9897683455738502162, 15394445759548685608, 10123311393785753610, 8261636622272415714, 15403865417506760909, 7537224886812203700 ], { "siblings": [ "17186608705764102957224981311049840874823003255432494428755951815184120970461", "9693441228561895096492529308464661921667779352522523984936268488683547688493", "12181918007341808635477843669390072944299855103911183082634635520273330923762", "18381854685102017572993089840546265514552599869323564828392625574244098447633", "8479758111728797491389078205391732967290535536918596433593118580398192424337", "3245083012111073161315543786973249688690139450806273340361407744071693860897", "8599495592511002037096279403334544441644359538854625670803450725787076833677", "6703277354246166750602009578675833204507068074489208442626836254428236746149", "8262669522751179109344360953409315939202390835379983148593923474045915500326", "1217913046819711274511799553734985774751566556408181731559892382313487754875", "16921889912740831986829081946728424399895584357499910753917451089254575655905" ] } ], [ [ 4739086118349162331, 2734459940264519308, 11847521405184486530, 8171998952488336512, 10391069521761968807, 16590461407185104599, 10489204978883748066, 7565991984337786540, 9370208149596847291, 935332302480272119, 2972923419740559002, 4713226619236814684, 16340023362049609069, 3051467397405052407, 6864525091951354663, 12330686436287432997, 2707355155474798589, 6274150763606408862, 16342248775162316860, 8631714249664285028, 17799350984577214386, 8170932676930845949, 197375247053584016, 6887445718220336132, 16203804744689834398, 4720093915155279593, 2285231190430391964, 17474685353986530103, 17998043108698019547, 17154079037944149245, 15338581614723359541, 13141752378903473943, 14713464134195060089, 16711062517453459978, 4900154287171357554, 16958899420920651331, 3031859755640539572, 1482402202361844334, 5742511306325362833, 17862639684360219135, 810844319172171224, 3147088783563141750, 2616758298761177276, 14629337834455725140, 11644541354991082029, 10797716533293799383, 8780513635842885689, 7147033596659654899, 7711301828599409435, 3187649075157238175, 2174250130857909072, 11030593855858495400, 7904535592657877003, 7530958671831198779, 14978811023757783954, 17727629810366622753, 12803620459194826167, 11918531556439365755, 16627397258571462578, 17331095803147772526, 4466016250813072783, 415825057882388913, 14096311492563290631, 8041428451172253724, 1871615681931569789, 2223307296259448900, 7072464703482995521, 11485235266657059206, 9577596182028497680, 16902482702291576510, 5209205750173091130, 12263916313519166464, 12808619620924763731, 11036611078486132573, 4032754344096784677, 11952303700096861980, 13485496641115701460, 2470379579345695364, 5039192643278592955, 14224929950875177788, 1948488369449145828, 17573377461267713271, 14509342003023731525, 3206782393157783074, 16602674002217248966, 14005611427196351367, 9505645626770728180, 16027139662985462797, 14754674435966240908, 4150531323958343994, 8540897360727695393, 16322634444973345843, 7123810257961002463, 16563489232434907022, 1762795206378640060, 3089789482367126956, 15406555738919585836, 2116520717299911687, 5075001751917184900, 3975167437549924521, 6647494169894091876, 7976230358233338390, 7243627728894911644, 13476133728726343365, 18193914483257876269, 18110025507325946007, 6600216958693727601, 17178549758678158107, 14400347996192517269, 4498868283636951095, 6936605951436764409, 9581232357889821603, 14027870086138112502, 9449596460566228851, 2533844567773026523, 5094126282384588905, 14709116169416624721, 8543383742793269680, 5950765782141917124, 13781099638306944002, 16301417768405546890, 7114951364953554196, 5605213752433883231, 5976192924728814399, 13252650080725732373, 10405087786430065856, 14568690510994330243, 8942290234301466868, 11857375509970978235, 791624903014437103, 3855864403789008818, 18156167183064948429, 4267429032208229603, 11408732551035249524, 10770572108583506393, 8373552255854162488 ], { "siblings": [ "11072416798519546330192581515291290106409107534905723671909638982197141405913", "16012569687991451501917932852629680358289883702238422377532465706827228584183", "13195196107508701863441056379414757442737875977909171308153602734394680319060", "9010831707965076548347997011519797473621195834664468815883405770422246417007", "1495348434728352597012100672117478902580783494211604003458144100078897038740", "9180748276461941975008925837774992416675086327459386922779891839376176797802", "614448596917630448916197236639222792250490149429708622990371259050560831266", "5754471943759780653193827498224526395853811161934089562513397926442087342868", "405118254339201531493015623494411733906388742773636208800896088076984587139", "19703082142593694611736918055414523346962502932251623184933019608333830568631", "11291227941311927171379533410098685653075527974632524796837486454415057994678" ] } ], [ [ 2116467653690268945, 16911696709936796128, 14541615091621554577, 2080618507202036659, 8954721060735452053, 8940938215553908903, 7614784823776152876, 12928173257353208512, 7977588443027249617, 2896179200129572257, 17256520315877663400, 3676333367140419657, 1328756906375213979, 11115374818552436751, 17239967732001136143, 92324843871264445, 15263135067522746151, 6172344157203492719, 3594899425346724771, 10979980249486838049 ], { "siblings": [ "20897636053985312415420748471122217505204950695204884028913370713112276650904", "4988924711362699218171613565894258213910340658856697435080468527209744589060", "301864155450346279767236553359968804684579143236333838201775376094345504473", "4241207239912109077688818919807400616132510342069365222160924009462003286403", "11882227966130360107773311725296840440899178215703570516992210035691250777358", "9649657011392977892505120397477256077797528858936708497266829614879928712002", "5335046790387408524602513286480117856438090115580272611669256911466365535876", "20114682580132004906766775190854615946904601102752099271621345959316644362088", "8403644444113096222830360924708717394968062667865507738901652085712524250822", "12842607605945806661701193641858883856876495981573924760121504937327728540920", "15578725922180226309629309430616726842154472538422761824520010656030955171392" ] } ], [ [ 3458548466219344297, 11513149590777706398, 1794773055853385701, 470555783683111650, 7807457532096605568, 11525449092855747534, 15225624608034603718, 15196195633352962970, 12124574877766291510, 14773275654055545376, 14433315265676846518, 15216389219426989842, 10949624732920753996, 9730781505083459322, 1235009345155770041, 12506438968374623185 ], { "siblings": [ "6327114275484593219012685578518059184586353779783209537779028705906098928977", "4998112862528279501995080858148373193334092458204582759984823374897079948733", "18166054928888847442718729152595006796411895938693715153697619259276906081324", "15701579707221836540711792687431494380144124071208324604182220657320385401112", "21876005708973567021292777763110022685362741786266777989719195494833382711618", "1193830327553652834704702922795167113371785085739060480713321334929461450134", "859199241972868118153553132307524720097651858047396060896490047309061324741", "9636040790390420978870819161650157935418003618472445822076622319748886732733", "1056126038251574728855091571671062224166620206447565625058126617342631042172", "14174829086934240020285607326378942266571075797390626207417456104442523329244", "13942320614363576170836193597859282522168467141654155625169064439410663561465" ] } ] ] }, "steps": [ { "evals": [ [ 15700460430572570677, 14885739647290478581 ], [ 11038063474524236893, 18154594641203440089 ], [ 15459381615909994668, 8044149802678059514 ], [ 1766436206243985717, 3834837706757514488 ], [ 3402960171062429202, 14057311212552168331 ], [ 7686307510507468677, 8784178093560344277 ], [ 15353508217741110601, 9048473900011176512 ], [ 9746414347154261918, 9532510602052748354 ], [ 3755135289753959424, 8752319805168412774 ], [ 5187145650823899036, 9496989132318774782 ], [ 15228537670999912385, 5522288976895836311 ], [ 14457629349087958770, 15974908277854181292 ], [ 5451230086127690161, 6877666301622749966 ], [ 13153111621800629659, 3894214619770582352 ], [ 12851639472629872984, 12465264010030175810 ], [ 10635381191741524480, 3879501364906698492 ] ], "merkle_proof": { "siblings": [ "13668303482147455297109293147827812544615085629255509645828019423497318545989", "18842127271209960684736674888276347714220461574334699941209529670040006654234", "14752243974246197456512269182161957464286522244696246808512875520169513323808", "16832486382068062556116576224798216937012078608456089228096725858533122017346", "17989353064798749718978681884268029979779991013669999185502521503970075813567", "16124084021556878381574193506744125226182559517051206676179693839649122506620", "13479089235744268913484535332746077284110194537585235983517352386045353179990" ] } }, { "evals": [ [ 16861413232736352068, 3689803876660336581 ], [ 11082048442797664950, 3980305902003388343 ], [ 282860045110637095, 14318497125073391313 ], [ 13964660976082826782, 13884771817654252231 ], [ 11226069965914242199, 11512898381473120654 ], [ 14618123661987856931, 5213456822160220696 ], [ 8990458717462780713, 7481068534677353712 ], [ 4024085876979215129, 6784105863724213183 ], [ 15631766737615012294, 8173673911498470107 ], [ 12267601331037262963, 13793737303772074960 ], [ 12517493901687292260, 4935948723059365026 ], [ 12419525212493894388, 9451398843341716712 ], [ 11682406186599498714, 12808857758039323382 ], [ 759757676686452915, 16618226366633466606 ], [ 15164333576211007800, 4424831553431695987 ], [ 14670059426009833076, 11982984014848215401 ] ], "merkle_proof": { "siblings": [ "16466005751888759024284357966461564584623832996484859029165086759724707032833", "12737062574335522779600178800611582380014925906597748299316271610814754922649", "5334534841490722339640570028175963647844797689614169285493431630807170917747" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 15651732804936462236, 12374001115562116289, 1169379949265440407, 1865860682002254426, 10643982143788425486, 8600646567901616888, 8528765916651617509, 887210326697500814, 587996995724555584, 10907746802644670105, 10898269706991452030, 11859659481434093808, 13190797225343357987, 3830640082691215187, 16120276978291775125, 9164531563181276162, 9269671381182590151, 6281972147677474308, 8653954355528731007, 5417556426823591635, 10371453179047097599, 9495585453328081254, 16845753453662074967, 8322478903575214642, 8983852764115858054, 6646302334135245618, 7690275842677229288, 3329923843219765513, 766273846361500335, 4850007962166124962, 17819503624851055105, 2881176809004252080, 5783553667029557214, 2857903660181652555, 10192076030096974309, 7069008015200921920, 10821956283097694662, 3038711645094286689, 15233515409644976977, 18046764303297166833, 15546615185411184631, 12377995591308234751, 15246630492648990768, 17828715471958616089, 3715206867462130871, 4869109488647824523, 18192580920507999033, 11535089163579105990, 13823578082843980458, 12128170651259960800, 2681735899742254117, 11673670507835920394, 7509588389802679564, 16259557427856071140, 10680979622122688312, 8872056343355259833, 12916482070313751864, 5847377462211533130, 13174048355963953049, 6550143330890774070, 8639870936203408371, 8685197148326520406, 2053871752714219162, 10335185984514913573, 4261737017039952437, 9959729244240816538, 7089964909310871480, 12995076206203497193, 12400502175235625784, 12641949587835744711, 12049508162154200935, 6310044816908020416, 7851649312498228517, 14762241269926208187, 10069594199523568919, 1277020296521636485, 771326163643360764, 14698683719487180651, 18202721982224856978, 12668416467691850448, 12014920196058039014, 8104435663639996113, 11822850410993804576, 17489512857008839095, 17580025170673280527 ], { "siblings": [ "1925524159824022063610822400655936686602983088333422001527171287656253725243", "20480625043460830837741114272565537853499018278151309023520405870456981610300", "18423790479653295556657774725490871070836317416947345458001230194654500852948", "6582494325448233739605124687711645195276049186395101532592600605212957460358", "2895885949681237406423402160593995545499570208902498718410008488266350477025", "20090828298873371559059641543284781813672879263746959617637238901157303102424", "21358806330696709596294669026919893808441258744323405844921713722728696446757", "17455357451713931179892419859107806155253018239558536096894583831855671075305", "1410616205686519710803748863560863709860032275992421852007324253256379585156", "5167072949218525094479762968943373144350317342570148673394724250998317310372", "7948174142344239450425090715618741116151011751994088665602666706060742213033" ] } ], [ [ 13056280810643940220, 210006222346505097, 2294167209254041411, 3348487144768888041, 15245911819305449363, 9215262846140441195, 16521989729709979228, 18057310531042956611, 5133975767243383380, 2467055604935946377, 12074180670032050749, 6258825788100665910, 1307373821385094409, 5739122179731369304, 3572374063512518251, 17188210183460620338, 13942002732700986683, 7987672744258823066, 5450167286743832356, 17201139723516467738, 16228779243137108813, 17375915882456586742, 6155384741068156956, 6396731998769552246, 11213968876215347046, 2876184435913093020, 16261989410529327521, 13489447287584069768, 12508235831484098311, 8799566683663857182, 1927641268849028625, 6908680675529880009, 13702517288341663508, 6053493503624463666, 8421351679949965702, 2898387155278599907, 16178395671124868055, 14780866025623372381, 8325395382750468611, 17981409302725518455, 9376354354346716027, 14212614746174808771, 11299778191548414290, 9363258241664029218, 6565742745456138619, 14849368056968387916, 1819282649987161068, 262596790710499941, 7688828913546242747, 6233547977384464263, 961795606189526080, 1921644695456597301, 15038406027783752445, 7863013249435207036, 11393000587772706779, 15389278298606104050, 6944835760399879012, 18086146773806053875, 8520980287939323239, 5637227292122477212, 10454384883162330504, 15650570851034242024, 6542669205164695061, 17254201307108794353, 2131427388707243474, 11710974822094971503, 5055231728897900051, 10854809134475989496, 1590459163621437043, 14915634115304262551, 2546387295227416107, 17793407394254855615, 17882403246622953956, 5720256566046836182, 17102247482395534505, 1068603303275641973, 3432733340614847929, 3747496787055680198, 6301433548157955928, 16449094163249908751, 17329388599896171908, 10054609427749797979, 17431833865836088873, 14320761777953467378, 18194685842566693672, 5487815198212839230, 13649295406265179241, 2227364620775893475, 16763416767554699629, 3195601731593125112, 18401012730714969792, 985495820966180198, 644571217436001743, 12058913681057447687, 8996528577185540352, 10345466460867783819, 7607900382674656973, 4179285252981484702, 11446293547166216463, 419301434965586181, 4295278656900926469, 17657034304425039001, 1294792458337650114, 12536318678158894187, 16076546354093714793, 5415811264226302269, 15694687817413001077, 5193342022490833721, 13227753978425775942, 2860638696242678431, 6693213782773519445, 9797849199771649352, 8616085104545609359, 12565216076753870885, 18413762128614193153, 15437090292253681380, 9374028264573381120, 14904668436819044870, 11488948428797751033, 557514766893518599, 4032270344184613718, 2131957721570407026, 11440938039506314749, 15988456425304180172, 13090277948224404397, 5103056460237399168, 6301947591865314220, 11309952701344973257, 9277216219354254713, 6014798396195121535, 15357145776143199077, 7196378336151319832, 9791844994657081334, 5201996207126265454, 16899399459197312310, 1698837795218959594 ], { "siblings": [ "293795321090075073034999882737712306771702623425553900712379046791023488054", "10875012125948723375702784951122007355680213265030176311368924176628538203565", "5241035923092459310203949081836524512381117911915089653448578496365525402379", "10271351652878712403193412094481813501137424437289927990606910963938225156099", "8939511466802785563871918464030846204376775982764594246063717796055658688115", "4395901766107694527331772077199140502769514905587874522906696217600548766146", "19848134543995353115423893210445339564436971962251250666414552405486555379120", "739543241822595705867042833133582274590439174265055051665414151507716651071", "18677549387991724289381924964017903419236797014115201707794949616554479325488", "14889241443660550679851522881382964273103647281984409514260880466693159755448", "761268218442088463111600310811824289108947841196268282671976078527792362313" ] } ], [ [ 9210344438933377107, 4162880409478884483, 6282839473674297592, 2011909338303698716, 9337150816786410816, 1629454769776986234, 12238010786045402229, 11924067061593331693, 8245748075346694759, 9371120695586677548, 18068072279672961757, 6446378668364769026, 10201856684618185733, 13800204662429412099, 17566997309699855574, 7256430043562946376, 2106932057049226637, 6513245681153528997, 10332377944553224482, 8637517709989530549 ], { "siblings": [ "11114107367686804504784395246720272818104399426662113097244438630387471552078", "270037217285683752327019572872258876189992928176206654491494709005995665100", "11306988636777656711402966861266931885923000868462472697757649371033781096054", "14384153009938914664606694614319320624026962073029143507379866653147550866836", "262712688949678853488610357065539875770894101614814285480279928692519957901", "1145582841256243992956107817861349406176209374659236224200482962952763774585", "4230092280128351718884683576081590754987946927146515534604737769896580186673", "4833538259258538375351537671825826994254541930297946106681244672761584605087", "11333951991033186037720222558953090265985798958251434207337425763512809701837", "9096254495802421255037145049429360741109792850198045413458279656508136926377", "6041362092266167390435009755689974480899344914809994927268435397871216929690" ] } ], [ [ 9534936634636678314, 5898425977327271069, 6620797697720665683, 11604886137556769757, 8542664446817481017, 14131332967395520080, 18429469125395444039, 14080177032481295215, 17854703740458770298, 6383947512970340070, 15530089507391475889, 10251460330395131732, 17538734274028178465, 16825234146597438458, 996417127158185851, 524650411729905562 ], { "siblings": [ "1694745043541611845306827748876300596410728514069680788300923400425557983348", "14841578459461726802378767537162194146106250913920096717919766607366282378250", "7547111148435281378018717409537082642707884966591772495920377984515548952224", "15482772437506771736887457198720588620019969412962086586616607593425117785552", "1187539097036039830441236252912374094691567819826608706758894816270330949772", "4523517238112057992898893010895840657296324421384808692040347265519470737321", "8837947543950751676498371835727719180819795020613095966642980601245903218204", "20957692941201461617366185652560863308435684190366949695553219515860488395564", "12911102298421934709711070222520105195849888024638489259152319641613755218581", "20622459708211527322851177106662269532808755097420273687420396306634302935654", "10309410366296487044526210374248085856337160521308906667502452222287929597396" ] } ] ] }, "steps": [ { "evals": [ [ 16530355789266972099, 13788960204298045300 ], [ 16127938494806189089, 5050353466774434079 ], [ 2457520303468178855, 8250442367599587169 ], [ 13221884549599869059, 2709585384305589587 ], [ 11418217082310170041, 11967080067098409169 ], [ 5729138258005838590, 17528730178536710152 ], [ 8965979011707116216, 2362435162161282952 ], [ 16310392455336157452, 152723264628191645 ], [ 3963769616768736663, 6500171501938804073 ], [ 8923121654720478516, 3397634860840906772 ], [ 1449017457108776848, 18194137570441403004 ], [ 6523340415003362518, 8694531277443269108 ], [ 13584504909577927047, 9161050946026289247 ], [ 8693213280442680923, 12701888754936801088 ], [ 4032101895922699969, 11560021574813119001 ], [ 16426881845946012512, 14884226009028953120 ] ], "merkle_proof": { "siblings": [ "10196041009161458082824055123422674451690627103343264007302986470978240949484", "15066264845323665190304933490876377182727523110493771753471744511791174257871", "13762370039244588792581614044741301312171739128022056073429839165102309704853", "7579979835540993842650435614148469312781252065294960026737071986548768016500", "1852245178397775457505775132954857959579812006714938026735121050742976622594", "20999347400797112193225521883326646789168495319254589337207969409151274053060", "12274330536960012994687889086799633981594507059716849185375360716468518146770" ] } }, { "evals": [ [ 17658348175153789758, 486806432147572699 ], [ 16480110007986480448, 17379659302029298734 ], [ 12363491208807469038, 16415584714894529560 ], [ 4436557698904158891, 3206215642912468728 ], [ 13117255535285582656, 17496534047361098319 ], [ 9567845332734695863, 16630478777958278521 ], [ 12615872527341414197, 17424821033742683621 ], [ 1751796424153647400, 16484367450094033011 ], [ 13171061245986912179, 17357165520499109283 ], [ 3419849706357251944, 16451678987895502128 ], [ 15758111302242046290, 2203545934537646789 ], [ 16831504169934273745, 5939471101394730344 ], [ 17611555716872339138, 6221324388960380298 ], [ 12912650497353042850, 8779390910858468664 ], [ 10592201457410322046, 15776341047816676937 ], [ 16265532065163952273, 8917377824536263693 ] ], "merkle_proof": { "siblings": [ "9756748738909659906700680484547796611828921453712333060754548923875381809847", "21557322394721857962041074438590960285630239648140003644397991240011963768152", "20232234019866749471067401372421659430246226189073288803212665480550644539473" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 3578281976599262920, 16324226370986145256, 3861187592941906509, 37933173179611797, 3666003217849075247, 15325200576233719595, 9302441316958338611, 8257093191895609451, 6963184411133298471, 3542054593331846437, 13269074613626009797, 18191593867926201061, 2956044956754795829, 11604364472373212352, 2861819764378759929, 9640958973432395182, 761473909571216198, 17072713305511817668, 8256448202479197731, 15949646402631017911, 16350266362281712731, 1802046246920267789, 12290309072585534123, 4938326508701170110, 4301857894137081524, 8817905926454724170, 4312747038447279976, 10648487714769709375, 17823203918969342226, 3198616308225362568, 12221884243310627677, 9245678779044114693, 3651649263848705858, 8864773545539476035, 12600043862662862229, 8271992201325680563, 2835176813943883723, 4422112337884039833, 506224442536549949, 3807169600419633894, 11135262223160557581, 2200872440299145045, 8671501354979812121, 2723291553555271805, 13793314723026675130, 15275952053442459716, 4405208664026314503, 11323796623004486598, 14629303469360657509, 2278959175045751365, 2955936586336186894, 4297791452055089529, 9122200191717421890, 4847845652362746736, 4662600509250004821, 14865720361414611042, 5002117196125816847, 2727841794623819418, 12134999191231159226, 11285813911811900968, 14980570427044759047, 6947925770108399951, 12996393531178303099, 2990804661529393167, 14491076589756870296, 15964011566944780466, 12387417727162740239, 18077922323110423128, 16459292303141918823, 5953839238166330992, 1139928391584076954, 7525981474951560723, 5712227172104053961, 8916690539440143187, 12724518341799817270, 4332453423233495571, 1485530567937243664, 3806185893550439736, 2924664788519168816, 1571597402632847484, 10866864163943138292, 16373387289813564605, 4219886989377251368, 511069196291309095, 12576822864243906055 ], { "siblings": [ "7187930778790822627326854909101362850004289303217838304578304660895363420070", "3496970495377313514835910753205126038166110583165483352795712885652882944528", "13330554607817080047512747857075284638303605401782838313580161353703789002016", "6619233017386186986047472867426180745670504879437616157719954149355701636999", "8224780726632670766825436192022535325889876220293633585729261783777974321286", "21117160490383757118074267558826810728008892400517382610822077136792366861585", "17038890501276417752201724614384722221085161797490023939692051646692905745550", "20762242613302231157272630629462549461043806769433065904615081633529795609766", "8175981984268243730547066521249640538402227414243594220746343124713415328917", "19988267824547995533032521957638187303211777149477485464892310489092818206800", "9472132944377830439094658404873178618670480067807540987056996961527294751586" ] } ], [ [ 14678169583769948241, 18255070443798201840, 12758321104071833936, 6717061880676907518, 3968050103181952152, 1934934767092632, 16728225676888705808, 893191296561578162, 134837289971487489, 12933705567068113649, 8172755688843277659, 15688630732577497730, 6694122921716887272, 15731834925961771059, 13857762198281139416, 12848701779514855061, 9476068573710856272, 1023649903337631166, 7629368724481319028, 14577300123896109900, 10181914383367618379, 9251763831584936686, 708728894150707151, 4293055205801239446, 5760975101371361428, 13811726982526878774, 11694177180594901457, 3581015424243846808, 13650999161538368581, 11585292657433131588, 18398480711207175827, 14890267060918524971, 11304630798843747459, 7812016353621457595, 5887871732411672096, 8950497312939681463, 17886978135318467821, 7781253144957451726, 932149144956776206, 7191813209245914555, 10999076258028954122, 9798914488427630586, 11107650636670754569, 15857047919733773229, 15186840400930736583, 8663917553464638702, 9318399557581961078, 78186242107177034, 3668090394269465360, 18369622073606863303, 16703634738923442895, 5071903916434473498, 133491261324313360, 7716538793099873790, 338132450346799436, 7498041643982195009, 3651404365654197324, 2961891739192839376, 15992555337067413151, 9345984802677057128, 1120889406413335217, 3478787033108940204, 3742727276829870543, 7976581632144450839, 12480369098771362217, 12876284920346207756, 13420173218822135249, 9939940808135326314, 10491193236796720766, 13260484728427798168, 3714892635315709613, 7958668941098421573, 4838595258876798547, 9977250140184104247, 13631898945712124034, 11699850025209956286, 15941830229923685005, 10431941874758479111, 14617353507714954200, 13564354010321151414, 34235116840456801, 17057794749142498549, 12767193808928467581, 10874875768046084849, 726274003743395395, 3643444411969514659, 10073842112516495687, 15264779308304613452, 18066584761730583712, 1557626633654147860, 4690418380283346961, 6540480213613217682, 5980117044827161303, 16073369866980166824, 7249893616593104453, 12064686020301061503, 6900848026454826814, 5784680080908076303, 7730039442197526892, 9681440139524842433, 5806814968791454627, 17465890820615054059, 18219124664430353253, 1890291226312004804, 3086658291355922123, 8650826905210152425, 8867133832585787187, 11247291658248456030, 17315876207165877804, 16311227938656697918, 15022869043838425142, 5403691720002907280, 11169877623755956421, 4314816715584190169, 822488951922752832, 13423977703760471705, 3907595706278637078, 17675772846506308565, 17721784782763440171, 6281793429828343649, 11277598650279816442, 16731535481257648530, 11858560136526695631, 10955224311427343994, 14509434217840874460, 15239983730955573282, 8548379013450066079, 3832780757743840460, 500748500074975545, 16689164317349159550, 13114896870126094788, 16839435595311291571, 9105016893699894064, 229959257199524066, 3863304267608860107, 2022072102072713646 ], { "siblings": [ "11116920121384565364670295045147678576330118185911939654955362924787583139081", "6722600488705236737311839853898275620208600430191179920437891001972838733889", "18035031393789510132322469315041199498603662799495581907453051400164206406074", "14165551239389907602378676848359829817277521937927883335013751916463119760793", "15708287889228092534963200515580128949350594496490748759374808394396414547848", "12400826088497889376849216486755832692805075113713612790972221453813006397272", "13217414521720907290101860801264968534876518049641560368888400888920974263280", "3462066635487056426449927368417569990863783212761350987043911911692091844721", "14346132874013570257398045537154581986504082896122329346675921771347566507838", "7468159863321213022599386971947228886031883256871627906043425512472605592249", "15737398128441151858183699012775501096847939064908342165282185093693336841925" ] } ], [ [ 17461543719923915701, 17917100398607551562, 7498724043206357903, 2167416682143643527, 12627632087046079449, 8518001011425027055, 12962737180124918023, 14128150681544492183, 7931871274627842059, 15459951511860199479, 17956688640798131130, 15086493364932700333, 1218537717614770834, 10631417810481837579, 11571773151588370666, 782886379818206758, 9030017375269641150, 2629664591272358961, 6606664746842755843, 12678416149416014834 ], { "siblings": [ "18488192335418544296694420137802024594653773361985194628748553198943636970647", "6067433265214419209346684990216245913341330454568567634821985389461946541032", "18579758848005099579463339427502843768202104117997357518834334005379991584164", "6239768564716523163317688863952357768246139540641084506930185792245668954569", "21444978823789939031130927266689044033469554074880379770177609898827854263529", "2450835812453577981903305377747545150679282580030756893957017712709538149186", "380940500315343852592403063787868286699933403384372432474267978525685172965", "263934982241405239740198888813036782965630541360118168466472536085187358329", "8511050758018034363874438494399393570591235804735726933145155023118430333847", "2352746339511835073971174844624046569250061870942331673163694153183415400420", "1880037277344394011766871436892010663996131299194213141087767493061635911606" ] } ], [ [ 7625462741837709337, 12937196027739004933, 676093066586225251, 14319239339657452705, 14408077680418945376, 15628640676035346093, 17569017397843416786, 8576194050246495496, 12982890626795517045, 541019934909446661, 2172228020687332616, 8027698836289475791, 17622508035055416495, 11989031666806291005, 18272223240113225069, 9159118625192066804 ], { "siblings": [ "4356602824074963067890064441304653632126831851130906717562290370283853192010", "1793786483867554080501656542936593390844242290369013055465555640964409711949", "3461654052711876697147753185856418181155518584854861838793948582357612407353", "13453340779859672035739751003890845334473380293246508981219806684678439819505", "14414759218954094608887929390857556483544379803375834434938354718737453293421", "2658413744931900932798788764499949978925682741911610620489275570975053864131", "16196937795596249606309487691389762073389134515801356098990802665060161336379", "3988608387571450626496221814824881662311994261373163175146020794520089426027", "2379387385515857993332342156602764967601350159284547110489180028148347944443", "10007094379266497748148966046353695693232284313797426468906066299267899396074", "941940909268724486447520379335652788022272657066491841368878138341736211717" ] } ] ] }, "steps": [ { "evals": [ [ 3791183663485919603, 2080722604558673996 ], [ 13020086480428122455, 5168948327650934085 ], [ 8245455022109028060, 7324017308059199271 ], [ 3356075950017135659, 12735593635773354820 ], [ 15231488311290373477, 12750412352337472425 ], [ 13946491474677458808, 4217171063184936405 ], [ 13883948314617746672, 5325742306082595820 ], [ 12402144508512123359, 13066702456860396370 ], [ 13972582865052860564, 13861049086898984032 ], [ 15861726816088050659, 11370412111475870890 ], [ 18321951681890277385, 10770638246345759903 ], [ 9846438050963779121, 6023131052496389286 ], [ 14273557857146878095, 817444454364815370 ], [ 17891349403533460511, 1193426987164154456 ], [ 18308825341812262211, 4136624235685444834 ], [ 3233517613693069946, 5965871606951816098 ] ], "merkle_proof": { "siblings": [ "8116055802192759100952073890859281849058477406697764253501015687200045241932", "11294262652009212196998666182396168626443062952434332556740845094364675711510", "21357965940743232049877962734779818467816256960144853329434241135492385497650", "6727615104731154944712980954712038176706542338632675670183145187434863937577", "20223519343170283050780503022116094470144793462167506378231122564853164343614", "8105947836165185595662003777064849053221631411081035734428329806387249143389", "13756159076579335429772632004864644371657218510998673528525561894228639239845" ] } }, { "evals": [ [ 5150992766660593424, 11511275492967432624 ], [ 3855032320207856032, 12993346519092816395 ], [ 13246102869622954787, 15244432585516606422 ], [ 6717525815461341209, 11967628858642156995 ], [ 15253895915969699421, 12158737840443735445 ], [ 4837207336501323741, 15189234664475909246 ], [ 18350149172215755468, 13809109636836803146 ], [ 13135226091928646831, 14874394758453519211 ], [ 125961287332537538, 13720266040047451138 ], [ 12275607198868481791, 8655047706083117685 ], [ 417419375787427115, 13305506338520277812 ], [ 314086434933995830, 2144947906360798109 ], [ 15547408394310351219, 7751514793694256546 ], [ 10012831523952191987, 1902424028959819371 ], [ 3328461163117998730, 6589510329862398738 ], [ 7989110896667995537, 7897504218678279010 ] ], "merkle_proof": { "siblings": [ "7031541410918711050734983643315918298824061159874427595624975718176308210206", "1787336176748565277665334103002948409976426495971669908764693980354834766932", "9727875273946661020337242436770147678092950922844379229285766716573257144248" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 18250228493290746112, 3069340881512374742, 4157359215004323639, 8049605770810485731, 13067620244293602950, 2564111258487673098, 10282875446272339434, 16027675377998052558, 1044136993524003724, 7015261133198775692, 677955053664646989, 4912003303082052765, 6602707290663945964, 300005897059308267, 16256125909713989678, 7555992731219309372, 4759736438230970073, 8069626546519844246, 1949596806673310958, 7154893602568909209, 8110128231240890514, 13706194949525702078, 14725938856517104322, 13812316119326117461, 1381911336140421984, 6829167805420019072, 10224073209952050176, 9613268882977136177, 5590083018562428401, 5216113509304753376, 371354324223433347, 16417372749150342182, 12534388771920945260, 14795568540051217586, 11771686356044708144, 15264562741296574472, 14108947639328780686, 10679310741460341786, 17592044757328439241, 2995226842268500742, 17288157656728433183, 9409908490142240413, 14740999980016828531, 5549386607030448321, 4195414190881167826, 12970149401115306298, 12146625901631858102, 4743799232587745582, 14273688408357983729, 6128847220181114659, 16762330123099079856, 17899929717092790561, 12803981882742582018, 3829278738078034050, 4587861805076079761, 15878397329075272125, 4663185846760030511, 8225185775664291227, 16832357007539753120, 3603946112763365122, 993944164394831646, 8434214326889702461, 4175828215176214705, 14612832595608731007, 752210444373887563, 2880180846594354997, 15966606621479204392, 9534151740987869184, 15744690721848438967, 1634983062148611855, 16433470100366464684, 1533051856401762617, 14186154518760174072, 3416806192879623796, 5378895098011155414, 12332724957467028239, 7414344526981167617, 1078947863189352559, 13960010347132545562, 10996376505707613858, 15439915148546840726, 7052818676896405704, 15204216182544457906, 13102784882178075003, 15196574913530945552 ], { "siblings": [ "12324333705094726557685329260551936865376830397133378420376012483700008094591", "15888783160547194722921995752452017747654715579405872393406412046297694840956", "2044135724239513378092911632962576553438837361934806947056383226688747211832", "9647645564118382395083578067650120172661109442372865958923770859094592537937", "4315589085010516187589417725013338207284159924777230650267093090697127377803", "7151058788568911143540693266915662481533473073501002829338908222982017598372", "19768462425546880319758790368014354231466818588727936798628309251839850563739", "6342857495350067773356366024918706487456658484647064011320288323910656793679", "16781287781491675352364926126690735158125306745593390435767307944868566242672", "5294254161517014846613418051091086371706341133485454265367945962303665609428", "11410393981632100027118793958683349566976938326440930223595603318513574619773" ] } ], [ [ 8889204017212428998, 6412194359654081498, 15163784420304701579, 4693122640318092213, 2629333008555088268, 8920409819367874505, 10056467565991972536, 17272622897674486969, 13046547904243878943, 13110460439594071095, 9356433521130514913, 9365168688539019283, 17348616454886856210, 17353316119376926308, 7534996571569594386, 5861217761048263998, 15836872450375031014, 15224460343114123637, 15457353125212311040, 557130673854529547, 10262918589080874116, 849110562863452947, 10201807364679225016, 4338660645406101932, 14304149293393618991, 963947346296356648, 8883758578377488417, 3904171484341064701, 1374375931209222649, 9958389197649215550, 7825775190884071432, 9718797307893324805, 1800524081345960258, 10652837907746652080, 8906800362037574711, 10217147621034269397, 11618641713134764023, 14154971044616545389, 16305248703524710676, 10010415632829334145, 10189213089344113615, 11783366103354360782, 12621198602868523486, 3365840139064466124, 12040565685933393998, 11170271506650836069, 3003710523121868742, 15927566688281367755, 13565966230495790713, 7333644091949252335, 16796232846094851177, 7672227589287144960, 7830738744987875365, 12479837245673258844, 5311540920768609982, 12811490118982303133, 14411550148540982806, 10987107191699433233, 9602581070209602276, 6850603382298578244, 8871012099089393031, 7629142430343442804, 6249927312194874320, 9544103340242338670, 5599548849158321115, 2666445138995597461, 1751013085653980869, 8581695661005167189, 13716013422657101144, 15887623061554120751, 2529723964645853675, 14118498875810792959, 15017949973597483466, 3839650694065634425, 6836742070902399462, 8449505912396368685, 8061173555390419711, 971064925371470181, 16821740109033531329, 4810224583872685491, 8780971402241912458, 7223000358090353552, 6225176266740300320, 9947727529434697111, 12478200822893314101, 14412994874262114255, 13484329309940539658, 15543559847077721401, 1565399240494381527, 7499818930447166276, 2395138970841784845, 17623103084169725189, 6804293763987167046, 9007894485485642655, 6444873002434554982, 7082905641144645216, 5026717171208087293, 18239115858982170510, 87137105192420870, 13414771200657850701, 2205053536952150979, 15227269270904322590, 11364994644287881586, 9490830915943429380, 7309304201676374617, 11561627262185396671, 6257430613920807707, 9455141160302703532, 624693833334764658, 13260493670120806559, 6868960237131279008, 9565084992876264803, 7984398345103235231, 4576023424149448080, 1178020509000743258, 14896375339269143970, 4499541278243657564, 14499205999983316147, 4278287492939072369, 5451054693116599687, 4201459316364896732, 12639515439307284885, 13136314960352624941, 5925362577904205588, 12850181705665291763, 16289952904861224053, 3369778158018963603, 12997163443629715338, 1746392023253418244, 16168383066945663, 135212054049167374, 13467742203985495447, 14926941290950434052, 12140637567487897438, 15835820287482096430, 3342951978053337241 ], { "siblings": [ "4592183430227177860775406185161306072476714495068087571130313122379420348497", "14543475244984376030745488304804057380660273578740657285902037267147784232273", "1881653573113693033854471642100394459854210793157911550032637738850766809780", "12079350556690836537914010322077248773063597239091352506518534480729614738142", "12606123810047088600690922571717716925278095965180945553606072432964544538512", "7866980775880563415442852322860526893547328243718832199586050848317842011744", "15177737042075055241372705509237075247749490548147890928011107776303086903143", "4128638176933007916110314650494838343181904325783331052063100373934353869217", "3945233111187940275751770304416901231858016963139266092320108590584723342176", "20208525652104599758729937467930316786033424308151439261180138101498329652020", "17340572103671366872231609479839736501142895062021429370829295567806406766044" ] } ], [ [ 7701655630861494039, 2052168108846742481, 18171886666201681777, 8887061173039550522, 13455403115805964040, 10504727652677464098, 15773421270820364102, 3345784953923182009, 5493477573649732595, 15335210229038779443, 10855653576707528585, 15538345730354143662, 5083115337901972785, 12502445303776007034, 9536229274105420873, 10804544084961995832, 6496051593369706534, 4197915922506144500, 5666814986190874626, 8876985929724944692 ], { "siblings": [ "8346057638189763919023953435460629098416187035236767450534739254986926640000", "6337327511095341832996798603145531096188370565314065800132833257746343856104", "4956018746134681927055262965238587900711538251012902762439644643857832291171", "16315340113653522232607196376572348476550741839323464314681855801024524589209", "9401918669118606044848018345354904252275383556289350265860564304008091804590", "21097497602840244269292386788902925064822959920096906580223133430585732551960", "19437659782785994426539451099694569377886747469482219226370003989153567184534", "20862172831391405330715007363300615424584498674504221545261062936742208658349", "8477427659369647760779601309489531762335192912989458439267930669052890727749", "12175085613833365251576247459034122907236208323244146280987347423237916488024", "1568666773699315356319810702082014469408311609793967537833047221884802211374" ] } ], [ [ 2347473161308459417, 9411759833761386718, 15645959363555868776, 8648405420602622265, 2571193482621121810, 16043386455067929673, 17935043701204563184, 15285815810161579957, 15382300122338333331, 4563906769772579295, 2674792268540579196, 15781801148813596424, 990559389680139801, 8168511113700164994, 7078043575018013858, 6932431504425631027 ], { "siblings": [ "8431377955735088845314426465931144395826227932998889223808101717904594511256", "14949695181659651985758794692468224262247631598791888017737256366780013520923", "5245480432970358794858400478687947561211001986891156309650174953111187713903", "7470314522478834166295690286077832543501837546561551620670542118870326211836", "21861205022271087759887906982047124374846199329531631180966901591808282677447", "15231424505335776928079976199445603403786607911674595096997797769517555356755", "16516001346032536665686985971679868612138520146360946676119729029556662269635", "10204202951129523447611767436726514735532943857306479087473803646475447726603", "843972089093917193265702294926808275229053650519077423113941254171447548331", "16506482352955166126707057764010201177789103623742064648534353106549921656145", "6823049955696911371205028471279451238439945858917402969382635471206246075658" ] } ] ] }, "steps": [ { "evals": [ [ 8247685011148035852, 10392428992177114235 ], [ 2297541700025739077, 5475860902804767419 ], [ 7688269097599290610, 3706721366472892392 ], [ 417932982191042521, 3434747960447643538 ], [ 17902899762843878939, 14168741000106417512 ], [ 4486081295628774411, 11612381855393153746 ], [ 9486186976341736746, 2265957452766660951 ], [ 3001796657095842968, 4463705425273523636 ], [ 17318965610254972075, 17967066294769597860 ], [ 1133691285136082674, 18191343996479521854 ], [ 12595768492066236012, 1743474213053859698 ], [ 15629195913056637374, 15109144011771267478 ], [ 9413811805455801020, 12290556315509715027 ], [ 4416393777408234302, 14185404734934112833 ], [ 3001335148506659184, 8229669183536398179 ], [ 13351047427382647145, 696321789428625222 ] ], "merkle_proof": { "siblings": [ "18695357113950363430025658025219154816375452294343335515282199878339562352604", "18429264435572273360032456441469381970633546734597261821766469609716213761668", "7258527525773679981132982163055551012978265664245885066699455488533477238970", "2558684843779674141036185389754477796787605039037573365237507153641411964842", "20796510264355327395224875591163141235575700013085984949915925303433303484427", "13601781740152299468364681307287808876659936320466621563262257488830055978033", "15910347887757335668719925594991933766312818244526317248862611146594682751550" ] } }, { "evals": [ [ 4578935259436714183, 13129034438505072525 ], [ 6734361201686604316, 6156928459310193506 ], [ 12298267417526460877, 5253093205057211445 ], [ 10955025769494132230, 5200605847564719455 ], [ 15795609344626416051, 9431123987041477458 ], [ 11426990368396370153, 2128487365939741086 ], [ 2438861649749805426, 16040675432963859760 ], [ 15067075069111016869, 3337959518284669996 ], [ 15867220233863888055, 8453882417609410811 ], [ 774865233476875114, 1722173955926224644 ], [ 5165792930692406502, 13854217551558551548 ], [ 1813814918667291794, 16972370818966312116 ], [ 2115581312274396419, 16137543068965803852 ], [ 12470261937724732510, 18378679652954809302 ], [ 1247986928365746377, 5973617891745040772 ], [ 12278423864738247733, 10621210809541240072 ] ], "merkle_proof": { "siblings": [ "4490611241018063416302070066525828617531984604071165246695401353689864947037", "6296737009884966623374666270002935407124346922982851111915804820470844413143", "6249052697372240547437650557171329828755940454127697002572755862499362642992" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 9103942008173312039, 3438650103743730029, 11623055476732824136, 15035640153944803436, 489423986834028451, 6347852002502901537, 12709483377938352063, 2452046771078109617, 1009958053127826025, 14095638347791523773, 1284305671841029008, 12281662093189995771, 531581364175754755, 12467872154805989974, 13518142226594753034, 4528405807749192414, 12314266240694795729, 4833771140915308461, 11618142873231876102, 12611105243386859282, 461316508930435101, 15655248632248622445, 16409824578004278943, 2013360884622598510, 13430093875552953721, 2722636400223164313, 8458264325276208544, 9378560208687058715, 17581650913856764273, 9695721700058482546, 2501433905333243780, 13175363329390733949, 303098253086785916, 13226218909831508408, 5353118864574705272, 13770037453457835210, 5945678756342678939, 7412212643859939078, 2079579294161445406, 7422807812724921294, 8090341543908469781, 5018426208332429976, 13633303480681167377, 14657840476694155300, 4152264492341437454, 4024353354165286217, 9037607290343541555, 18035272037394151714, 2375913552428389185, 5379265952991423922, 15419573762736226627, 9942707409353792844, 5250996690456163063, 10635994311830255295, 18091852019329320321, 7319569664224421619, 11883879683116832509, 8089256811497377930, 3680548828751038208, 14510310865211058390, 1061023043118636543, 1374054490010424544, 2955005908999015489, 9905055551441764921, 13035347317051663857, 3432359649394422200, 6249477949317345253, 15357734540893761011, 13802692840906127729, 17642937359674515505, 1259232745061234311, 11845101577760982411, 17673528904774009410, 11539743100852416438, 9744244851537027473, 14734719819299884058, 14593290736162978627, 17272375367516883372, 16297513723679186829, 2115970690574130297, 11420526164943324406, 10307848752003162595, 11298776144795213282, 12751972612990390659, 11661332680129507635 ], { "siblings": [ "15453178535724530318866055232686813668355208089711166833972371065970975674037", "20928240688893457840552244568721806719428994402079868155883574947791683742441", "2888166956753159060782123207920910899604076641631488806043580757031995920135", "17071239692908029737905959752804585497912870648632148980088245983816038511579", "13888212003937760606775015942571993530942431525764086834037811561573412056099", "4368662581169773744565670466913246957305137675703013810562636387242805244166", "14201390860357600242183849214083317021291881366685091682107370248618656118602", "4536398924621283733474192365647792420571958976407006702481614184515090923605", "4886785904706891896879851074077799997802539034339133661658639597377948312071", "21283406731288408861714166277505561257443514751059511102148848355433843768718", "6985706418030612419834918085303048572432805806967625916221348967214685772699" ] } ], [ [ 1465165416752676635, 4275570358524420716, 9663691102661940305, 12644591428051115595, 9947110979235421922, 13039601238336614604, 8628941731702914548, 15918337485127183578, 6069951775406046763, 8274775378849525583, 8794323451018552483, 14207261019081321296, 274130755800573066, 4841294637532969757, 5467449356315791237, 1659918792980569739, 3997433710567314224, 16135768605697515072, 7022596157919307087, 16152134129013195586, 15107670476598629485, 11614886390615231178, 12348623910155674161, 14720764923134885404, 13932415170624515062, 18387810696402998606, 16063883250437545401, 7523328347054119722, 161265868859075537, 17464177591527032706, 12424159815364003063, 15802598965874571154, 4996291818249522235, 15985185945443388979, 16123606170644668996, 17180287693165714788, 4904624286597287732, 7629556915324139217, 3171937004427663815, 10067760513424335953, 17813801066060325720, 197529031400244126, 12566423617939211793, 17401338623251004169, 1046351584194321023, 16613592170853410147, 784949026153197608, 3600719901283309411, 11060194190129119012, 5729034071720513172, 13537302781917860235, 14766208784970551307, 11090042685031335808, 17174540227719513126, 6966674566579636025, 16642457903251410997, 9461617877795227395, 869822068983829800, 16720161945665781584, 13311275330048738906, 10150295298652409109, 2228963286245804423, 9874458734054912436, 4737554522208336057, 15976097957357323655, 10712909569960173067, 9372465703999567099, 3905823941566778682, 14971433486284671464, 1360099628960786745, 5121890866142056711, 8204921433303534138, 844801020889331217, 7069412245065186900, 8242726239029374803, 800838166906775829, 14268930488526810567, 1226261252342811483, 739224245996925537, 3620748539675108596, 5392355039877207120, 765409463103046302, 11268562781430786184, 7991984666242070665, 9018286978227287337, 7638871596458661535, 7489219127066930098, 6421118309962828302, 981319491538803338, 18288718524346611581, 2489413996674745672, 11586681458366583379, 88714478335876798, 165635432698037262, 11881888012353811657, 7686847153894718551, 5483280771004046276, 15138191714380281517, 15235991382693301126, 5381607489698023005, 15302714611682740680, 4968652805603713546, 9131713130295543934, 14045288917091165652, 827659761937476218, 18167382035122750250, 16170113907689387675, 15780677279172353462, 15076375028760227695, 6179333662205445762, 9329743921761393977, 12842859342004966477, 141739063585309509, 10633031649197840023, 6813473663414982452, 8566673526887636169, 8854477006084298448, 8476066967096589642, 6348356022689122965, 18264110496331960272, 1798834630270565313, 17074520835242921287, 16873208035101588781, 13153121930272503922, 7447575657246450836, 14745100403763827272, 3876537529662010203, 7215792864429120291, 13725214353384637384, 8577731123871469707, 679741387895888065, 14072938452331664014, 11127262067678362495, 14787622106366335505, 16310698543471089419, 13896059376034704520 ], { "siblings": [ "7305216760444586861859020143499790340072897829957709257934426239106464049293", "1651796350782211214969080193544139277741388930557468489212535934727351001578", "18912442831191443191855723720908418485760408680229849486121036233707916956380", "4919520445864056112180446524390270317558689084941297254574079379845711303091", "18258135741354200419489939293282344670045459508700218377092456223818231039693", "10779865326548500222376791435889892701647402142044109169764580919638615185299", "7813394493510887904510046852386519506256174953044827954824011362110764215238", "2525299347363127769715738658114871661960589414591467018706842678423886063457", "8037459962880039489184258355638585598719242881448430351659598300195152846273", "12225845393895871606145403904879206708043256462016943701958309978122821720921", "13452626841717681122901521286377355077607074119397476104377025365171505686696" ] } ], [ [ 2315858541234005276, 4921856478440922625, 1610582388711603214, 9931659781692901982, 1882071776203976142, 4297545430461978013, 3170484172191431841, 15996306668292019208, 14056469936992968041, 13043496309746289716, 17722205904875694488, 494576837269806282, 17777630787287160536, 5578134823083180727, 16354020611366924314, 9212676150976474194, 8189831686995181192, 7576353569655148241, 7022373756206949739, 16602596734180433667 ], { "siblings": [ "2595240993957522046559679211808481737465208697521347875915391511549476611273", "20117360571004326008743084993300075169633805698121139001720116786377827627777", "20915749809676055833306651696379806909414711657733519491316214229551266141579", "3795499270810166716623624821075428635948559975887470156443193272458307612980", "8111724710827366609362414902000422963043429954928554218930200717323723740812", "12670535750346645196210044084107245745017368351280571961527493030273922634827", "13265683121745740484041004605701991382782218269313629077241804939880227229861", "13495147779619765379029552866518411406305318254064679812172512778649543475719", "4885847819867555017954021485987614692184328481226977488864393953602243856797", "9308618130050682003587312266683554984712736955778799437420296372404577035292", "2578789036015459292858959386968159557880296832231092887846529621387147521356" ] } ], [ [ 8437385340261797121, 10519822760890933011, 3540382226531492623, 5723577096278559894, 15501639755646579749, 2990336969891458283, 16810879339160791471, 2604655853832962547, 5259190467808191023, 10413965202340690870, 12318507472210507355, 9105553181638978192, 6964012009553072276, 5765739313048674865, 699596905072377722, 9444063616265941980 ], { "siblings": [ "7856919380752891306079393464237113335609657767300280710961064348213881666844", "14190471714154415644563716906963250183124872663609748653052094264281967500029", "10804489663461026805429320677218997590967578738952559756301383242773587971030", "8701953839458912585361180949282771009843855421768660261789248735797204892757", "4185538466149169363186541543016170709638019369649402313134705058780815569837", "1306970650265851560423579422490367697048605838124250517451225746178146746758", "1517696919194306486947366697755715639237923893683671833615250586214806649395", "6575568569246877111900492102616881198714714734666506266939927803007863907956", "4097613888374395667862523220942820747754272790750910851497907041468358138865", "12247274194028226057894965166700952089964701329618319650296297403545465952771", "16119804571405095336219601138184489160663440325342128330072306322664465291266" ] } ] ] }, "steps": [ { "evals": [ [ 7105525220632748427, 1692856215486814812 ], [ 17101608202749170204, 2535304926832412695 ], [ 13043877504018750555, 17568158495776199567 ], [ 2130188242571668086, 7921970819895107584 ], [ 12882932087345592531, 9158214197332441779 ], [ 883164072827241193, 16434523898517549746 ], [ 14104145991654657194, 14443939814157720034 ], [ 12170119724338816545, 16295688304932059014 ], [ 18412279010501511589, 308577424858162057 ], [ 1168047893615725028, 6749705260647459756 ], [ 15920420990962158517, 9167391498883902491 ], [ 12341087014828466804, 14374710194532025530 ], [ 11543709046464074875, 7622588917524637945 ], [ 547252372516428230, 12899708882672631577 ], [ 17986084328638668085, 14647322056674239503 ], [ 14072331128743021042, 12088112743896681651 ] ], "merkle_proof": { "siblings": [ "18596260795060521068107047382187706606804247409817913434972207608999870827647", "10687698035580293563534073478308734645587482163955279585461600232630393985789", "10162905333490117327247362339039851781071921486581512038063084949157274944110", "4562066331513986283230712354387672635796590974372975080925974073703360309216", "7139996569733652089715496984608284172183440744535114368054580404634934071297", "285594936399008923908407054272944022756721570531985370036461871759437760389", "10512325341241881419289132510653884543994072843646872680430822950377175003042" ] } }, { "evals": [ [ 4656626382472076635, 16724609483590233470 ], [ 6497083811156446187, 6388013830723424893 ], [ 3597700980304850004, 5643482502722481912 ], [ 13970327661679853103, 8914661603630973648 ], [ 15209978063336928054, 15659182143743985665 ], [ 3076550249772515822, 333932316270839623 ], [ 17670067288506489632, 7346333850354100368 ], [ 2242451956448723779, 16122050806535256358 ], [ 6465092855507171433, 18211139095270333431 ], [ 3305954386791091766, 14743319818125309369 ], [ 9468786035669229635, 195454025598308124 ], [ 10646513874559570611, 1955573250669457410 ], [ 1046109405382422327, 14545036812366964334 ], [ 17903455727988247317, 14149098421337538796 ], [ 17501070481280809957, 17866205832404612591 ], [ 166949135848578547, 1153309897221169437 ] ], "merkle_proof": { "siblings": [ "18263889148029695221722342214857058414798447307347716952503445928437626973784", "6084627275526042845649277286421623600896436882995320560785559466735830525543", "20445304077925439001168806144181298750121333290333929743844779272700851724278" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 13685126493418258773, 14956571459497985200, 5461354970300706083, 7666803020945046800, 7116921061149413859, 9172157893304011613, 16250207702766349633, 3619180517005554609, 7853409170678780368, 11276089966339096146, 9230991373082074714, 12394574289956849911, 10398834155208797542, 11847712233124389, 13644239897215099637, 8036378805051043987, 517825401161547716, 12908876419380803471, 9490163634140937940, 16467741427424961820, 6025092881249140858, 18205057463665145291, 5860249996210493335, 4328828944949738626, 9239387485815589658, 1732743217624656804, 1561552307814275817, 18246830388283289078, 15839095527022086070, 5613100254722318232, 3331959532362161411, 5795497278850988322, 12530396438491971879, 15953459289776689164, 11629716565897229866, 17539159873234692330, 13237511672805245671, 7210818735111802589, 1077197231375007219, 10940733105326106083, 15601818834051738943, 2303453326235444620, 6821017387241417760, 1066373693598529352, 4723440241896565940, 5497346397132772380, 12024886848800535631, 12991568278641407573, 13451905050405332965, 16795990753872136609, 6619984149914885632, 12397070715005306317, 11701592051405412710, 17347998466675177655, 18010123713318427200, 9485623517323531473, 8746418579481345867, 4677498159114867846, 11619328373106068233, 8369191855318162567, 6037061870911516795, 1487980780044918752, 13852191063831230374, 7882934536060327952, 12974964747083035783, 13043396789400482775, 7010869392744305013, 10058664880970081052, 15000524562930701601, 9955517103084699122, 3579752701376386112, 14835758852075282872, 10698039552547269806, 1359991426140970907, 7826092242023345138, 11404716934705220577, 5319473714286949454, 16094684159952011500, 5160966739099230080, 14678116126497891686, 5374824703678000209, 11035675133503936503, 11379119335753903575, 8931700693177286808, 17396642138817297540 ], { "siblings": [ "8892549849763553718740305380699499623125037563553891458476620830580016130269", "5676514747494618894934394861533670977464422510827418782894329115042830215721", "14201600863447534313209288780020271337301967701122846043050443231904410646847", "18944708849111638848879733181738390770623348914331397216203421069651850216807", "9621512500267986117104210103169403969755442623270109246681676013926873368506", "8681349931261964656996332237774413892704607451892615030231919080323556271912", "664401528845957079253950662651784684517537441181849281447419617717102982473", "3112642133123488154973553919781918805836874161350648105382885594037761865453", "1664253106668286188957248181208541754604173291503563049271664407992470410429", "14004919227350468053485770172600196740423664477931902179284070183080637422736", "8242972653321558134827385007626858600506249600117317776115544193472342550758" ] } ], [ [ 7720832790245413854, 6192278046299707367, 17599734724338605118, 6413872416837104035, 9263821656442601619, 970885152513834837, 15973537924797818401, 7672613439792062652, 11882731067609376590, 14325990809007799243, 18264496665537283287, 5262862223801367919, 15216764715944682142, 3691662163304592769, 8925874080783844377, 15975457473444382218, 11833877812174549376, 37717960861015458, 14260818420365062678, 4199160923311724229, 3383730914898133623, 4147971908105333646, 6632476981939414773, 10704949941643165783, 14895055202006971678, 1430277872501104399, 1977837608501233860, 14167899142506443007, 11688244367389604892, 5224890211065624974, 2110086489413717668, 15625390569269465155, 9601991328757980088, 3512332832616201108, 3618337843310569168, 11271971840007292792, 2411390294569259738, 10404021139120671532, 14010294200009323074, 7306986234422656674, 13544378005849728684, 5004918471784244688, 15336987330609854197, 6822907327700342681, 6258113979598886833, 7186285402897130430, 2625316512561341864, 12400311073951431283, 2974637197266753955, 13403672553942780263, 5242219012553959296, 16015113276612381146, 6619507889022151228, 10254439851612091176, 10448541243673753730, 4293727903653754294, 17735821992635322160, 17678987638421197858, 3339749690125079320, 12727854924075574372, 12881869951626038323, 16315881426729869781, 13301207515099317897, 7933451439124768694, 6286497094947457399, 5321043496809129661, 5874914670325998502, 13640465827819785869, 10582701550157301281, 11807767996200305667, 15631233992582539071, 8145600856235835422, 11967755148795392774, 2948957570041267878, 4683841935326444841, 3049773440636014216, 16285776690642788600, 10247576378655329318, 2060892971454938215, 1834071746503459533, 385525090501929992, 2458416982168866352, 1543673086378405268, 18402460616837700074, 8610345977918564622, 13520835587876073194, 412250853146416276, 8288205422832681940, 3167781500552914633, 10001000523667584167, 12088571154501213426, 2566220391518608704, 2732588415386011272, 6045360500273553313, 6186270915448544639, 11687974653475278731, 7991778726523480912, 4205202710332184456, 93535477929573793, 2360488573341989304, 6282400709801109528, 829750737017228075, 4241772709158609324, 2861348088100359949, 1608768048308289241, 40977729295351786, 1057715265019711539, 5859940590345901723, 5078320792758918922, 17454627399142730768, 5045515164021306195, 17268039161534124996, 1466079970000581639, 4587405373000749344, 8445782848007938854, 11336691413456112151, 4160645652886168008, 13532826917000187040, 2326524144381778964, 14044042223158234235, 9989665901591043260, 5647432876460371165, 6850436508527095636, 15199932683977522361, 433425344185769438, 13571290778423452667, 17981904238185078890, 8918553938137758030, 12414244378728284159, 2223151709004410474, 7597318555943941153, 18420222789675474343, 7844550465617146, 11075537498099602962, 7821611044713944070, 18000844779729544206 ], { "siblings": [ "10353969761444329542423773485089198868291007004017109738280952824366267275189", "12808683133492687325898410273067255008482211453739949282106906096434115940575", "12741035839025789471945883154178569384202876173521992523424688268620678203012", "9648360473857755940660757985246462756552412539454386619028890538398188087688", "17452243781157487941561964164764370586615912034956096132669501671788895506711", "351581903607735660161138561369582333553108499336646347950589467340533989973", "19542737051063096117404253349701565160515586126483941736870859140517553387001", "7097566385028531114843764209693489234293750564914169527321820609487866141997", "6983985076935032827081594667343534123946870524893778144177188961430629727683", "9913506186060676001752516889669796564582778732663472532791661509437726408087", "3625037973787498284688742360866534539925762545245284486986947945900317213666" ] } ], [ [ 9237586945975012676, 6992797729238986213, 12856503886455881486, 251584573413963010, 3579890867510238576, 7034227354356712054, 11780506463246596495, 15722439384367027391, 12507264272808363931, 10275430274235479883, 14991407402083674320, 17707068515439466671, 5338745708515694084, 7654688714799277439, 14635243466634617273, 8182153991706067869, 13572670616738606134, 607072011085795756, 15969720699662538699, 5038006841460891506 ], { "siblings": [ "4523159704061408634458360186112804377873625171044482519582068047867766255461", "17918176646023322159657747068926473161890178467819568571737344150619652916550", "3822234492979637612520393663591008958365455803814948552411593824459491966946", "19892919040398479823454200102442998399710182690893856853922670403001711262103", "2599577472602099928330757110301765355594002799269878851312567480131041300824", "5275003558645085894627453543740783351817238576196288505529727332205605163931", "12514252936891066831813068785028776376476407742352428073971283334920975517804", "8012409227099252398488333000358425707193964903720491041068964704283627165552", "15772636183973507862767916135816965605688975164758300727181422317561740147482", "7661011283690447807065200954736570888705920457396667880332379641233199669159", "12566999161713877233863952180778448469351035489707459110099089743116895134622" ] } ], [ [ 1131846011833852405, 1882904457202125612, 10826200377493007179, 3847591130980189267, 13814056728960318914, 5454608219185045276, 16104316391970009969, 1948221181091147481, 15683445772714801789, 12395702785884148773, 7392233665778540154, 6571298706711515705, 17027599939990636663, 12477540496222833089, 17447597378097516970, 5288290389266956821 ], { "siblings": [ "9388366053644128356234625559178858949106848599106528049675529053017183270824", "15866912331865747022405443515761677557685938673569635456417315973143346399036", "3877749313102645329071043575663683404624940225368419131704180060646647872611", "12089584594978096115535405844540017260764715527456255925383320804608932147598", "3387900061428239305774401155938569468349447822036583053849881913928696435704", "5684709062835653288976339586473015238430948146215732671770183683081780699715", "16853429550510362333754719398386824803211702939294822514417286626095334291373", "10384976519148482179832048680084541394537227561132309978064614478276625415797", "18370674686427877699296591992669098306504157982505818864962646856897168246489", "1525420096559243898572461751628530126665785899563083632286777518373472162606", "6377612116432251241677962605675631821509541899211037502834695505954824276095" ] } ] ] }, "steps": [ { "evals": [ [ 9094749148558043516, 5224799658264364449 ], [ 17191701370517905433, 15115754369678158427 ], [ 2445192207666921533, 1768217057320356149 ], [ 17713412464003056671, 2886875244288826054 ], [ 17886741282007448962, 5103558579065521646 ], [ 552953381950958653, 5220500517285157015 ], [ 15203011782766206947, 16656662987120265456 ], [ 13918686936667679211, 8683131687635937785 ], [ 13103318410322652740, 13739996742797652551 ], [ 18186445119790161214, 6059576034610529117 ], [ 9726382816470767464, 3212789864758407044 ], [ 11746299969568067584, 9367157381748291137 ], [ 16059780187755233309, 13103233711353592055 ], [ 3979504778875098353, 16775254929288077633 ], [ 3361080999058819698, 6621635317502060046 ], [ 6661782883553157469, 15432515805764888813 ] ], "merkle_proof": { "siblings": [ "7257785249561608328824402619727071284606454503802989896934055805384582691511", "8861266029390565031579095592250821273186389935913767099424846259657685949103", "7483127470325682252637866168033049309730065215395289919560455798564078422689", "12094541977515827394936795822316362381892668287276059661803341591323783292509", "18478587547135902668748952754319146851415325104931948781001868735036100421160", "21498323672004344046730608264320158182507713544240777708041226817853507487690", "14565952399316563802973603387407328862788029658660450872238464459182697626528" ] } }, { "evals": [ [ 11008970372363273490, 7996912356861455467 ], [ 14192194342127347877, 6224416453472182986 ], [ 6570693711746027445, 17082376407228438578 ], [ 15608363040507648673, 16154889992873055009 ], [ 16623293416450437607, 4533080136051815101 ], [ 4578392822412696605, 12852057703786959399 ], [ 15928368370250146081, 3630101229357853868 ], [ 6291963450206874774, 11762204263139327481 ], [ 9117137580581637910, 16847131957434907656 ], [ 4187358538603153819, 661078420864523968 ], [ 15032732114856298701, 952575301578360788 ], [ 17608484712086594001, 5595832520936061375 ], [ 5902415044483700791, 12942615612938898384 ], [ 13415269472583452962, 2327260263629831562 ], [ 5093315526972709076, 3011414798851735000 ], [ 9063848693379293774, 13016752804463584096 ] ], "merkle_proof": { "siblings": [ "14149468151767579425783030811658234775133674619176446114326655324036345076824", "15370218906346305890648230458225272787008608514416910206624731759498489659551", "3629896084634086367446225786529150650473199352223986308543408914232317686259" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 9499871715286421107, 5751270320321542064, 14181372325135934510, 2200339821500852830, 13214786777163031740, 9879765113576127205, 6973251746461144482, 9090194665337480312, 7722582359624854773, 7093882221053705247, 9347549940466928916, 10312552902632527950, 16203437090006631055, 16882428013611718153, 9563457842072843847, 8032532769838995015, 1378179899512249061, 16514582216926698079, 8894690585554125730, 7315669443069794629, 12251402557499807360, 13123793427059300900, 15193715010323560130, 15537209739069514946, 12785370318385572108, 5837163058842631109, 12609731784750009252, 1811011214714536333, 18348243952344727337, 5259064163327557280, 15027073873248476166, 9881070021381310, 1039180378013559537, 4192644985166868182, 11582732778270521537, 17182875098433890046, 2107358598379628697, 17267660656961107025, 6116064435990069431, 6809535445645418930, 9943415742115878108, 11155701528055527937, 3311574264682489421, 15634845585318479465, 9033664347789149899, 6140637205473699390, 2658354376975295373, 4200955679000027407, 4512596382424808498, 16528133889099376795, 12385835803187747776, 15543266416542549775, 4871948543459214523, 13668672093861174243, 13601303454979780046, 9743666660409554263, 833645516438959905, 15959296371624063865, 13778255250936956906, 213485644932143216, 8366186939782346202, 1466354332551095021, 13807663628289623525, 17100092538564011459, 8203999354448007063, 14449052560873182332, 4975461050549081814, 11224518298043227623, 6439761627624079904, 1727195346382481040, 2143755510174964562, 6828192416373303890, 10389294280687467613, 2461714267347521368, 13444350697118206514, 10168615783903391701, 3162109767367381057, 9630280832957520604, 887806501718372323, 18396618902377965065, 1901322880553272766, 6766162586725980980, 2403775824865753880, 14348030233775673246, 15329731614501640151 ], { "siblings": [ "8062437546833289433175350472246450884889896006025720153230089908165991508006", "7679202702881625563096722053049195973971622700992187817760746023300312904018", "7109720402906597695638411717486708708875891216147249155774811610340457254200", "3084053238770221729513062239717450366457289209379423340990350989884033541212", "7655571442350636844103724216814012195678950580600682535323814430394737422882", "6578769224894579013376214526991161917711953354515831637617948875751920407423", "4418038363012467621160168986513047321946119435545718676624850405270022783419", "2049974520532334850371565291902086239662600259580177020900238714041814806733", "518222954923993075023149789757551934498747466468038147614696821910813862229", "386284850235914385048280170365163292398308749643715806008308402449824985916", "1194999694459824353173579702494630624766281827559247132318072124486113796278" ] } ], [ [ 14469079430419020310, 737090261777917818, 10294154979883431574, 5767141667312497642, 13853949582521982461, 36291704019103386, 11647245637624764656, 1672637660024687554, 8419675616989801912, 16795099612932889350, 5194672079975363110, 6649287511000981754, 1670176940325804190, 4239815124052186876, 6012734312779316436, 1384280319831931888, 15449580216583597601, 5992826144875716985, 8734249520826027440, 13081635482895468313, 13413994218406031211, 2437307990195910596, 1340482265916472018, 13623613124271958852, 11665125752340899172, 4146428452498994122, 6118074135039192326, 8118973533654439155, 3842767049826470853, 13806813988737999268, 10586885935835129361, 3519086328992126089, 8876265835706970988, 13832150394783091599, 3476923430209052785, 8675782565039085873, 9836972901163698246, 3778121416223344964, 9917240548044115175, 7568465204430889035, 17300517504976149343, 6114902174605006551, 4526262026663384859, 8293649898484746643, 14090660190352900971, 14341982275129533967, 8575465994230229519, 1380054094812985910, 2136140334288331912, 12823319396496898937, 6269260095428515876, 1844544398827359687, 6474882681469113633, 18318074672753041465, 12419036082711714165, 9357193839571188729, 13670089812371553666, 9925577003459378931, 13434169949071785160, 11654020300561122645, 18223423587862291913, 9055293773934277439, 465675547223530147, 3001008079340449461, 1561488810467876581, 8137586182912212669, 13360768361530453601, 16193471360503469789, 16166854323227432282, 17582378709900457279, 8172403193188305008, 16899086757950302648, 13017859318449024816, 14381059238632058981, 8613918149893810340, 9602878338602951559, 468133349222651151, 7691350287959055909, 9599335074264186901, 6946536197009035417, 17578366320631028932, 15651351458542553529, 8260723309695815973, 3438867130710648142, 1227545370261322239, 10840631700647533797, 7061493423324360621, 2531966741472757985, 8813064285277062376, 8340660281934510217, 788931587793086243, 9912069462797234571, 13959723717905840670, 7820382454101875319, 972599458798657545, 11810478558035126840, 8620949203090436846, 5636082307704816016, 3755475475470155574, 8405977182035401552, 12627954935670854771, 11451327746655980291, 3508942909848547026, 7119750567312595398, 5005645876560839704, 12605493271234263732, 13863313208654089257, 7996705980139643336, 1912913778319562451, 3611961539083975497, 6400560364139572016, 14472144909879295847, 1472639546080904670, 7575034943837921499, 6556260438286425465, 5533016038312298642, 7405888149275971495, 15834180037667909265, 2064602209593618593, 7901590461143358347, 12072209995512070401, 5845779064354761358, 12460927463294030898, 16027580745696757810, 6473975038815834493, 10161205333227486812, 17040352529765366888, 12359737495273787692, 14399165114911160139, 1105725397647540744, 12560533718839068600, 14788053017215308957, 5592716248485393643, 16076941607705759116, 7030662642989834694, 7793210348804995111 ], { "siblings": [ "13578532994198232402746736961386346714655628677442111289926651630861994574622", "19772976403260156553416967314327555827172365588682166716704314233519588327498", "20424782472930654432493133668846158922594840168745510651144924615337688320513", "3081357126758850752452937556224816862756345265296880292680616555637234131417", "9312365130155550719044870099143335844765051932657481048889193035262510256691", "15521198169735456087857593706502278175014650695335225252351084018909694696932", "3580587030272167397519925654129802420861895868618165593855887224392486753418", "16085224272055990910232618647021567125184281689003560509276507126236369513449", "3551554888207302977403187603032599881276377990960923100739719380406061525076", "3733155646233563452073117891317739429612946228640672067745897579279595421339", "4668555584651246888414402926747867177181046581060559736487432351304392598097" ] } ], [ [ 8207854034854781177, 2944716844230690875, 10260473017571587412, 2042895081866305316, 5549499162314513385, 1183671797933132496, 10132264237257015831, 4140253697633589294, 3105862057128728792, 16972616157903419898, 11767561071963001611, 18032078900811579027, 11530365347372377886, 18253265526252246483, 6480786658671209189, 12339461608816970641, 10911480133489373354, 11017175545742558582, 9039907076250604168, 15700500221350123541 ], { "siblings": [ "10850788978083150900797770931807836905386285721671041604785284368496717462673", "13710336562862233784850074995444163300473251563996674271966479772249403207633", "15535677724153860262458958073623006111368714306594843153930142036276433991219", "7873851723450789564270473394626973858587850839061338685377471411606481179505", "1323202363710492290974021490243100594464048498960592310686081703216793018144", "7441626844376217806978537330609335924034255266349989831001351797124577136541", "6795043618629351413244640084150253382242418019409579217424142585972328041498", "13491341874789643567624600140202379774069554903002365808890658485557239405094", "20967851830088991415837135065478035171254028156943652297610262909416240115998", "16339025560640625299890138105964478984878540490529778806060284463411053334490", "18808921760560523855306273544114984268316495200080444030329217628210145057174" ] } ], [ [ 17945562623001721022, 9993666070333332292, 6470257718590819848, 1786119411479549213, 13667754355466163464, 3477713126393448486, 956620023416409609, 1053943889344778792, 5166415785993682003, 10808674184859228672, 10669012569635630279, 3693430214064867351, 5826510772348130238, 2611421000097053819, 5354876668533829897, 3701950667191532110 ], { "siblings": [ "4253986058929375644026610583555022918658081750888742089421518642447842928664", "9077042273693083070088046709668269137890765799267299018818711903690065221713", "18569522061251995718134157163601824834190996120769069776401862721879831870396", "4306794013004003595412253989194682749739855280225457723383512181730731102048", "11884256166980071622250683296647735877530248702045557763823444761189267552578", "4128005923557036711258247122024992564130044921140728977795733527452468079212", "19125236304412294990116209580409985889926337139626615436092966467076133790631", "15041990995591417075807013846207912302141690224074384340588707952042849096156", "15009198450905089295264158865592851111804213580489037001966440249257254980585", "834631028802699621023742053421389503915806189854443516220495480326932971475", "12294146368675113110733467781676925421413112331766628196832698248069465068502" ] } ] ] }, "steps": [ { "evals": [ [ 6258540162402685229, 6263319038844154715 ], [ 8637765534101906547, 18014929321137236966 ], [ 15929442474074661600, 8341814207386988059 ], [ 9857447320862426742, 12537235051747309757 ], [ 2640287283404011881, 10957825276526690598 ], [ 10948332947865288452, 2282791065447350499 ], [ 16857399980641742764, 7968803447973511671 ], [ 11586390875529457533, 7061760917060504427 ], [ 9551770638706629148, 12217395706435275302 ], [ 3180487556196564563, 11986768299218172836 ], [ 15183773179120806663, 939778705709913570 ], [ 5707148574124234613, 5387029148224863149 ], [ 15715009172251897623, 2050825227290297364 ], [ 1446243581134903515, 9184460187117309162 ], [ 6796198032669325480, 15139580770819985683 ], [ 16461883669802896856, 15226812231432932225 ] ], "merkle_proof": { "siblings": [ "7039400225187931993430983656686466965890698474147782533509228745935431795906", "18339374034244657240305593487221288350450918817180689174988233257732431686622", "16954833447897031802604775334532149473067943414522403590772157385358655348400", "16205339940330640048198771571794800651732417769542982305716179857462924140835", "9957314010284537288680312637690887001519491987760000143983131696081362420538", "5648297334926170137653976863805537318305535652253786169572435548295186941964", "16719687294339906178543642053788446377108516741072905303830529457558597490695" ] } }, { "evals": [ [ 14845213114467234062, 8129258140099812031 ], [ 6568843671284888922, 3129164546118772049 ], [ 4091949723414591375, 10995979240006125731 ], [ 839762723801170966, 11512718959402925638 ], [ 562566862594003617, 2865974367652577152 ], [ 5926299579062679071, 9580594067375052640 ], [ 1086343953472610966, 3601138327221094969 ], [ 8461768025795713542, 10025524258956136078 ], [ 5423537818177012245, 13589001747442025554 ], [ 4031535794465280131, 18360221828432714515 ], [ 8134720465102396367, 13334407402055685859 ], [ 6307532508027748868, 12643259482774336482 ], [ 9179921344627614499, 3260060785827288647 ], [ 5643708178837903533, 6273932279126861861 ], [ 15978539545177339762, 9562670432639922163 ], [ 8763936673039223969, 17902067047264690147 ] ], "merkle_proof": { "siblings": [ "20854512432615978311739104499064404991575802851017971826436451947025948056188", "18418107021717806689559877919747759187574866923622251605960532905990507683914", "19427994540863569342412021849511567279712690993480515982184547946812106423985" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 15674778821355560112, 4420516829570633315, 10270393640238778664, 376329634598003377, 8320975143067270961, 1925264705273794829, 6187931478425341785, 10557827660412649377, 6772133711160979588, 11528097887752658010, 4287763985831878330, 6257199455671358027, 18206324718643151586, 16518435734861636048, 6078381306314391439, 968120145041120454, 616934471237089270, 683506630705485617, 18429784995430067917, 13118316885541167435, 3195438411275367246, 917228617399110269, 10135379978249281082, 5003836253932927787, 10181658582726901070, 8799418199525799983, 10006995143362170999, 8863956334438490329, 13577145528387931482, 9351373085609589425, 12043540328791139034, 14020345683838607816, 12964844609558755442, 11333677570403866080, 8994245439418716081, 10524159093264972451, 11742038398154890435, 12586124770452964077, 14557736811305018034, 2059684661286140019, 11247937936252558162, 1561097337907848776, 3808435680319136902, 14246254435475567757, 14681129853623928229, 3668340337133770143, 12779085329304730391, 16688341419904385295, 1636169785164051852, 13995628921478549468, 17559961201876351015, 17519319522087005580, 6007273946700027204, 15657623525093339733, 509418262351548317, 3789204951673263510, 17619545018407129435, 13905863960553987124, 15471907029315258970, 12712093847871201779, 11723392876451234068, 7185257696426490424, 1411175991246172187, 6690193154648731878, 12469237790789845270, 2264519068405004342, 1520911550758391256, 14269418768147939871, 5177579659180206558, 11345150931645227680, 7366463569529243730, 14692932768814475601, 8960873458496847053, 5637017913836674050, 2256318718934713497, 11793732579078384351, 14957046507853587202, 1471969760230373779, 8666056334718130414, 4321551092958196964, 10117956951173547136, 6200648094240576228, 5193574506733167959, 18227922775646037281, 4923848402744219225 ], { "siblings": [ "12414459044903344719367870480687553359023381666205010458690320730868556282326", "4500832637960620659580966611799987946054223114112904364842208452783963434523", "829820366157332619555382600394958667603136722409810099484252154402207949191", "2685819233906222662139041766026981391169320476213272718308941556098397775071", "19343927125618571532116226484566619758252182963812892630017225226234628921091", "8709161485381858687580177271362286718282337214128790318492203594561457228559", "12843197172535822423911573468433237781853988297080800669743433726661440435743", "9484882466538419842013054412300891804311216670333415645342645836022819536408", "5325376613024127874579658613171025400788901305444680386270227610692190968101", "11545746399160355959315842417964018531564418809491382040122464544267219264840", "17117622860267542955040535869489830614797883173175418734225391413492150307826" ] } ], [ [ 6306573102845903047, 13745024899379309710, 16533150772494198984, 5372250205971510218, 1917905868455973715, 14066450443963317650, 9477387891837321096, 1629898979187981354, 5296523241961503864, 6195053871191640893, 17617041891818532195, 17715064464093767203, 10970208626708606417, 17830440042571920327, 6632912899845819026, 16513042044605546319, 5250752073905891767, 7288693711557571528, 8073997654169695274, 2745972084987561795, 1356535437251149537, 9949015426294262787, 11417624701612031935, 8928524298663990204, 8497708793598790317, 12966263192136532659, 10607920798180591967, 2056085259693389962, 17987163284777981564, 11398797875589020474, 11978566327659906382, 6865278167964158131, 8854311845973151238, 12916419727987921091, 15033700775824014207, 9247363956427003941, 7129771157989592479, 7658957460329738923, 10281637112439149309, 3618212858687066801, 14719506356418021210, 2252974026833128026, 10161571413628437296, 3554853805326907231, 6038945492554924273, 17588558561909791620, 6994012268579646535, 2947252971967324251, 2612052044856156517, 12163674959910409223, 14483794464367194753, 3189009407264757653, 4617018703061654033, 12786493416194420471, 7523631058255435753, 12327259298500498322, 3860740454096927760, 18340811840451759859, 14644542474746788987, 1706725453107952085, 17058103024667689038, 10830162365295992826, 968694522794078095, 11031841151875025336, 9222082068799742197, 17762054289190931577, 7391986632301402046, 2354872897445408936, 9961469941659955855, 18136834582668283065, 18356716114937521961, 17151391096696219067, 11858882794189476259, 2225608513547250682, 2726944474723622603, 13801342564288341584, 7705038786865297201, 16838097565152133287, 4994456535987728858, 8724421861068653325, 2813394908581353160, 12383464945477682013, 86860596637335864, 15472487549562555640, 2216177239071707772, 13038773272432052157, 7108202806788507352, 17617257895987307481, 12672484662941497489, 5617654462055413205, 9196706216178077523, 9793061132574336899, 1589772950139160159, 909308767225183989, 16925334861771076130, 7934437745182716224, 16224758189189259936, 15736144187600319916, 189876478151816515, 2831980789437750170, 4730655095809595271, 4080697419950771923, 6818707122432182959, 8406723590507427652, 6168415169478920881, 16144515724093792553, 18213825121101203704, 9615327466741297523, 12272178492136068337, 18047165852827473890, 15786677598958366134, 10692651407840367967, 9717976826391544860, 149733845051299637, 2240496423103029892, 13129377939062877016, 18119375607554960381, 5554955490958775148, 650783591670476363, 4859585937867073165, 17020963775099421472, 4717456987776655447, 5839361428668333166, 7691896657415422262, 14334369428043453335, 9414769402382197632, 7656455954654358345, 2471598788678014850, 13461279773335251251, 17648446276094018779, 4089198033173910990, 12584623778949971568, 18042361054570271686, 11229863421688619022, 10837994669503202032, 17285950006829525867 ], { "siblings": [ "10972010394853505380059022305410077226773866771250826097656940300646005209993", "430518444432916435226144639460395058764604178357198045217115020852878740418", "8126053847530568431489922460356399795762112283397413077892826691088576103903", "8519670861484466596583000089924393361060330279713515620440466031257757561105", "8028280772129122381122127186901074596609291504551138830215879416186354550826", "12089101316148458463849521288880748429148011219418688480290101485769912975416", "10203288523071229766493355159236585044711307036809421046701337356210634550397", "21790634270725440798940117296295877079385908431863181060996386519154438851406", "16755744790566548874399278652239282761685300795548352365151103760335638584497", "10585487286161998611841461994263893265347140731499570508601380738577703634439", "5460093839493553630557149582481597842993728082412267858455659582027140646491" ] } ], [ [ 5085674262840858888, 470739732650884511, 12024804721957881709, 12592094854103329041, 8065770364659895167, 2879041409132812609, 14931497380429856272, 16612411637598541156, 8499637846967905635, 7145719611189723365, 17778622320367091255, 5193998642700371704, 5541562869111810775, 18037702201659206517, 18153619583317126962, 6042238696702389376, 5971851750043000171, 17423909800039715633, 9074166988076355512, 3286739053250646064 ], { "siblings": [ "17903126083314612436984751366395986399198098695617492092804333729808598638683", "1018755726952531249128338212736264707502715947604945282355789670069966283671", "1286016343217901013039325006051549862817653476857379999342126525518316130283", "10833342139091126925214249788909831559694602549685760710758066707377044079011", "149198708882715702367681818495685669586318978303958294325555975572635150617", "4059670784939275192903112166841289131900782570651414246377798353625584608278", "1477817652225649646191504963273359944112587132224064905506739086465726519735", "19111494946460010802924337414344812968035968514952786886670210219890786472381", "15001709454910235000444368611445488708890700692901447221109602596030253269004", "17887759560159713353256870460316635653778900309161762395940523262614119579464", "2543536643349090648290151235483954242769974965884579967850223483751896368616" ] } ], [ [ 14286316766671968217, 1508747769034361183, 9658679827372348826, 4313335327327371553, 1968889735859868323, 100407971168088520, 7983785960299564203, 8325980728858282301, 8224314882510197440, 7474403526968862939, 13935388955615821725, 8853752789797987650, 10274430745997260645, 6625832358169400823, 8680897128018210096, 14144437534713605995 ], { "siblings": [ "10964749792062800592043414171833206133455929726220820524829635915265853134819", "14815524144991632458639801212442541404138966831059878732017990144623166145218", "364603312261230741062761424488995920008170424310544547202292772933062354545", "18996571910368073979260456129769309969159741044232650986055629225865978967117", "7837492725119121798756220165510540955292530078263715471061625205887232284732", "1029456279857067903094241404741363417201620456433658171529244558852209604119", "11578917851274988679532685223271674037201110356921799399507331051717704178303", "6666912482383399323226718652754359215613602558155960199365157523365806058938", "18901802301073274648411644154267910464171545754456545333184688889714266801560", "10850339627346034634000053411391280650098180409114377312606466693671119318181", "6064945597005804205397979220192458059376996881177698030728715719981537734104" ] } ] ] }, "steps": [ { "evals": [ [ 5764248732870566821, 12520939632284230366 ], [ 16464520621357520250, 4502109095650876873 ], [ 1303633038642664596, 5984646675359228316 ], [ 5278249266355501434, 17485233434550154246 ], [ 15681824591427757263, 3230036138688082715 ], [ 2938381594716859939, 3597405216598777751 ], [ 16481326317663193805, 4674542867623280287 ], [ 15013821851730036168, 3914282274837527681 ], [ 2636943890880608629, 2243937833112758785 ], [ 5036865105496237044, 3333329803241271343 ], [ 8327249880267652004, 13927032457092488480 ], [ 2510113007748928694, 13894512563293536620 ], [ 13613533189869156524, 17979912921776178351 ], [ 13464659743848584893, 1683595747172435420 ], [ 7346648514287674722, 7028064182740157869 ], [ 14548705453813680979, 10557258666436662810 ] ], "merkle_proof": { "siblings": [ "19575008950442621958123185335686508129317341362344625661296611247812380929318", "21227186704010168478349966606479433974781766516774498400826909872229268380532", "6226104985270102215919672984890670525751362878144936637832119407322584019821", "12747026726755700092337103517036166696217719015232688675917761296114407489077", "11712894474077974785559187057028505890358558661613691356279441246786475989462", "16037672245226038266919257807724732766533055752885423545418710471452856121395", "6380538965498895792171985423545715917799237410897302348501317340958436388858" ] } }, { "evals": [ [ 5715613691009799529, 16168727033263981957 ], [ 10217473483824662584, 10072002649148631319 ], [ 4359129681295120689, 3150526677677357013 ], [ 11627421110887993459, 13507285433121531265 ], [ 4984897600291983776, 4867007173674624233 ], [ 1191019726730737995, 10926028924553374898 ], [ 6823480461062540678, 13186027363098101926 ], [ 3580820699426084754, 13473364899277878389 ], [ 6326945215590641948, 14793288410479919298 ], [ 2030615484366822808, 15682696258003785551 ], [ 1366120212389132340, 9984051200529391663 ], [ 11429385691816699945, 12234232883585603897 ], [ 857906309130269421, 15052452259047678353 ], [ 10842596208449860841, 11828111282570806198 ], [ 9412128057278736661, 9309257485178183566 ], [ 5176808812121039368, 3631569684308203881 ] ], "merkle_proof": { "siblings": [ "16791260302946098970851499100592052340807174552784955776127153632544970983207", "17677467501710954332545547875028318853837585822123468999573776296477137818865", "10614639889828254639835082945648189785495365208501503748061672495155775311673" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 258764035074269275, 9389030666166664311, 9274896139328246266, 8706548393340431694, 15471282812810104245, 448964347033848216, 3970138144580479930, 9793688901363067814, 1125086856067231216, 10596792285416487409, 12839883587261153726, 8640214978120974530, 9150985200586482379, 15131374750201760909, 8835601846891488103, 11824645285393234412, 13310913985243744453, 12523956914129082001, 3841531778950481074, 14135400367463413142, 5168898846093085780, 8678321022664844604, 3622481443973813298, 9003024371085471529, 9385220944657008541, 1948757148748104256, 6991977741723649388, 3509732212033384501, 5472093022975008889, 2067318096894193094, 9300781048305583571, 3512979587275381167, 4266752203958075167, 5367508998542805222, 6267913839679699668, 5070666842206702346, 7488883503462597516, 221705578100674993, 8506804534540192534, 1557731042257640732, 9544480850978509291, 4516329646929098764, 4833334860619276874, 5474115686266678830, 5565620546617797064, 5728398584179044455, 13836080123165202796, 7653056514210272144, 594649278784220313, 4809402293291312530, 17972300994272622532, 16982829124535844981, 3507510132811811600, 10003903686305043233, 12424253542525794130, 17414905157725787558, 16511358501137993329, 9237753205165998789, 5244681089320963047, 10299193705719359138, 9242004808449514484, 4369718091245585474, 16264413410518592915, 8940727801329450197, 16038803152909635939, 11165530976457721618, 2144847037082146939, 16133382171281983895, 2178499199264482140, 806194005098540212, 12261179557822180259, 9347417384404191658, 5844237500785865490, 13532210645595619604, 1442393534065931926, 14364202368837438056, 2629576069314539296, 640448704043478380, 17041922443682262752, 1864309751216451242, 4283420868927592328, 14910867440774924366, 9297820984120747798, 11160467355781535206, 7522640909505232796 ], { "siblings": [ "321712783130735400921153083047219513915360554387004513839875096524963450661", "14177990343634471702030798614928986129931853510862229747799861567620048276209", "7171025664691588906071369620085412610676309257796337626670329173401915316345", "16527563238245555821086705767237936910778991407638311169177863877453848083893", "14164320272849525004782579262575664683234272997155481548040881917714660478827", "10901871514437756498301306796728228819078589177549149706314106126393023793108", "16249405575393957885214708745553858712456786731962024274987014152724663593913", "13128076816570446289874260919023766823114984570490033857928238187198627928248", "17206628878137089453459571251326770020784013152343196944068330190203012950144", "7749562837325192417734187200953888140577592742103664235630786041421901114757", "14810488667185246537378949220654968355820650818025545997875139979698224678485" ] } ], [ [ 12566409695506187240, 4418679667087279437, 6959273394993074843, 7123531398368893267, 17657594143197364172, 13471109139086864713, 5368117947135491942, 4978372059183432081, 6458030614001260245, 9655271872575424621, 4675245728718031756, 7779425500085205837, 12516020865445628536, 17054689822408270432, 9667127010488093644, 6989164815464672727, 11671897782947350553, 3511524558795601539, 11350311014357815518, 5041092559632898476, 3408188039891805012, 12145020302375947003, 2842253076847658128, 746029618947080961, 11480618438280445752, 5672970578807893635, 8994635878677031480, 14917578484741502832, 11033687405420544850, 4675918718744979385, 4915366722028545602, 7350732514845693090, 14960568560163593903, 9229702431734349115, 10556659083687774442, 8801633518192085202, 11751531178942288580, 7361522178588369050, 14984671352413576719, 5749220934734646784, 13196719581884282577, 18225281922323788853, 1936457588158104566, 15286075748862844756, 2439635481869429220, 5637767927727991553, 8482361125692296484, 14789332302889016490, 8385606783905699868, 17380654427647728986, 3439489210155422272, 15915516618196447189, 693725852646773905, 11318425362650147602, 7001350864848391438, 9217903373318355495, 8294586363005099294, 2669155911462960701, 8038618973545518223, 6192738055997105974, 8705954039720187819, 3232323046591801408, 6138600778161411673, 3478865943582687252, 17679964516480351881, 7223662275929006440, 7560867250395584014, 4166508182883918587, 4326172943796116170, 11749304471146153166, 17701592171286792664, 13267086590149398666, 8722438332898931216, 17925017329741647181, 17423104027915278716, 15843103747374080124, 13263157430238704086, 8643650307356687121, 2936799975613091140, 13893244236557035732, 2292493602882956359, 6329504550499766611, 7246668735779076909, 16591494109689686772, 146453481520055403, 9252556107286433690, 15484557971010237439, 16231394797620330396, 2166933794215636703, 18320998207080458286, 13441109443412683125, 14119122237559761866, 1732601732473906401, 14821657656808633866, 9153866838718954212, 11609043358007383372, 2736764389140404928, 12367082211177024585, 6597211127935122232, 10076089162580140385, 5703960680733546482, 43424409329017391, 857308499419230049, 18016546665206360251, 16649344522751618777, 3257926688742272618, 8791739807385363431, 15590118380694048713, 8631227217305522333, 8693981099820028461, 14618487334416544532, 4545330211478702461, 1098003140528154361, 429420142328475687, 2536643750969721215, 6849543330436310832, 2615943362261848516, 9963228120624362683, 4824952211298042795, 15516182375013376377, 3560822196000466020, 2663208824111193102, 14272526075131342284, 666495150531222088, 16606486197368496279, 11361155843567290048, 15096720419588165296, 2402915783434044245, 4738602733799384875, 17488368271425586141, 782187279660433640, 10953032086122395350, 18249453493580128199, 5809579267412964321, 7752450391572742276, 6234891929810947950 ], { "siblings": [ "17587004520656793733965726042481313888198421577166777323777217910628068107343", "19744794192693097840941568370148197691995189396612994079085973899844350639729", "8341206706842661541782321482260386020967462322255745304897657557760888960536", "15249926388521563644071309911673759981537859326733375670849750778249035943530", "11321539199641084800532720213022395732600031924370170938070802975008057912611", "7653954151849515616669387661789049819425118942707872317847387255700001920879", "7766303434010809063933617420274083645549031887543954934135427666590281044182", "14143282865374901163959577866090435782520624414852522840337326425782370023071", "7933986421772834505527721213120350512661683362799070985094078125950979147214", "2807365064022626715639702629564548867165018607863224792239719551551310125394", "9700057447617022796100672414434305126544272489970796571600617271104813192838" ] } ], [ [ 8009719848475932869, 13901861190300507246, 9202825579464862479, 10885062728059627913, 6538547048358808003, 4372134357931149277, 8480237854131516921, 11551447477994224476, 9157005335835997721, 13474734164846941198, 4954308160331572717, 8321889919983791561, 71248583848259751, 8729533895924124176, 4183942775926649533, 17165570762104723341, 7054243417338913851, 9582809559727642689, 11557486052937349905, 16518622869743247910 ], { "siblings": [ "4232282376014697463154521014665125724002071074878459854420860611756632407829", "17713322341365926812299750388267191570720108274437026291071912972813633614460", "15959789688574682890095501816028616893075649775405668618842723873542238325547", "14921306792388438970204411512546457196204217085403506926391687136417806687539", "15232553099263760333648654174140915737583617788279815598953229928212264309621", "20994270269264390017258134850227677281928369970282879868815382261583256009375", "12380786113241357840603406300783176575815643962100295099194714314071400840073", "18792917297689975362721021255939607517774035943206347355441199890527201984787", "9123328988742056993100996263076909412226319202957669422413190079179296723698", "7583262884986211219635239742936977762421847281529436762278203252971392076696", "7730099989463545132430512813987147924448528901915251188003383293015401033713" ] } ], [ [ 17639097748205736608, 2925836165589469745, 7113712028900091362, 5839501470826075418, 3727636526033166917, 17717658185768530505, 9300731773025593377, 6638318246488897524, 12867198052936851860, 6831732512093546677, 5200835166563114348, 1111439840408620008, 16916972389690433491, 12942236915707335442, 16027895770006383125, 10266123682272955641 ], { "siblings": [ "16289667615058331481705846474845758765681674988856338966105461394673228144166", "6452559358950622173531294164987253284948453874694736182273028203873716987534", "3942017183609712227399212378252408507815682606305334185204127128942491128534", "6101607451891037850106934270067934552248086138074296810966977564590632135592", "20604489742769392642456345054404502547847270755493782531439040406273146040906", "1553959712771375210733871619727959280672211591333176356109751780907633612244", "18065546336808970443441004412068849291875786709932318351684090861719842682188", "12097750860512422228090663930569016559930663321691403485431603020347246972092", "4933172405122389177071371506771089247478880843719382037778581579135993643541", "20428678293874149356027892257101867148576002725823640783807270025926691283851", "5107050533808485395841244863119319279236559207773148102514526527348529395507" ] } ] ] }, "steps": [ { "evals": [ [ 13737691929374037241, 12824956221669364647 ], [ 11440956661107539495, 13320781688715611102 ], [ 11899746298021410499, 365035057840657385 ], [ 3678968176006646985, 12339489669761124939 ], [ 16700605167661354642, 6146344152228368824 ], [ 14673443993205854161, 14340523362473808502 ], [ 3916584538872948626, 8542268407186351124 ], [ 17192132541230961251, 12681097390196863468 ], [ 11669264646825907179, 8488027625884195875 ], [ 10730967411728369226, 5938825569148159457 ], [ 8860603054502253732, 284234796315167744 ], [ 7495717240403919328, 14053722381054018292 ], [ 13687999645851601947, 7120142796816529794 ], [ 12007771612366475263, 7196438315397607364 ], [ 15256638131380652906, 16210230601826568036 ], [ 59069884934619995, 14400811404553044185 ] ], "merkle_proof": { "siblings": [ "3195551017306259193316368465748851666946482923187792094998490287032935135746", "5173769911923684759266702012821483200472018750529115104847175749806720518036", "5635404127954599720359050335869339174912822297353491687584950303080049140249", "11930530866308041814089138692026416367563797487721674787893540209516084466895", "3980120942959456304153798410902880352054445288041387545261401085678841192138", "15351443274800897539420901815046373227093720440370732011251598201413266707782", "16518430738803338267762715559131393788920976264042116622033903739117169478895" ] } }, { "evals": [ [ 16738755565602674656, 13407743973715429026 ], [ 1680428478135609501, 1795955625170616549 ], [ 4548368338452670416, 12737170969139298897 ], [ 1237750972174924318, 14895079262221563351 ], [ 12196797905891207680, 7391066872743165479 ], [ 3523364582699667042, 10332575745654792041 ], [ 10956159369996647896, 7922506005740853240 ], [ 7073144404339556098, 11606603793773504690 ], [ 10601502311102987363, 2522107889179797159 ], [ 8204561431194616901, 1547931560539547594 ], [ 4242043670054423571, 4705872934249892796 ], [ 9694022076199691296, 13256560024815342005 ], [ 2385979166104290010, 4741556263528262895 ], [ 15282511295677473710, 13052426717729804303 ], [ 7852704065783075053, 2050836315426043447 ], [ 3281013482704428563, 6066771068415850434 ] ], "merkle_proof": { "siblings": [ "8106715998121169744105912065073761335793856838783372893930392755412588795588", "14781675217418501231109489341066312860542871359694662306910292590118745042349", "2606110557382014292663468366655573694112055307477071824704106882631798333197" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 9376598560878983577, 3019276817621928734, 4069574047139770037, 11441532924770637541, 8851840720339363983, 6963117745238713940, 10113307804605230235, 5706550539214248088, 8144058020543811740, 8631809393526406851, 8922368732798576540, 5328642849074983759, 17082808677113839770, 13731383071085854722, 13626419556470720921, 900143258203604875, 1592803266170190480, 4550045956703619507, 17629319529198989740, 6991510461680032583, 12243931294836430110, 12645754116125273731, 17017666003162040380, 5839495303313603984, 8182779114423183849, 9666501278076196041, 9932768983646434691, 5920321737855636548, 10455844905043306132, 17100819614910541513, 16626657431464216356, 420819678111433207, 6108350386623555589, 13159747891646320552, 10149227014616775577, 7302791012210049576, 2380203786623985285, 518728630913556957, 2492023427955817788, 15285591815044368881, 13776799379885838955, 14104459864616745234, 13058074865770803109, 8069655186798403594, 10738384355673140418, 13236811011839462841, 15680186323369576428, 3796896473508569346, 6389799981309744652, 8686943935341106070, 5519623748550240624, 211016755798753996, 15475539561642594984, 11777183008525627342, 7802754419136077358, 14115059263819800450, 10474138012643123204, 7983831955352606714, 12374580313289539109, 6379075600794567255, 15943045820692487411, 17650600847134779241, 7351487912271915623, 17011187040819493694, 12678477321508934480, 1976505545435287160, 2859195900676587006, 15077067706421657646, 12250231068270264834, 11107276283681293153, 8684730656454621925, 10005177312225697645, 631631702625465891, 13849397580386221372, 12795257494879272080, 2492085727629278150, 13048426181037120869, 7158648057035671613, 8440799609602709781, 6565388424382250453, 13281258114365597662, 13844100937596588509, 12185178477786105503, 13632122099059106199, 5879460920869655636 ], { "siblings": [ "20678762519179135417141809357048594702492709475187087450788638006539460117235", "17455715558514940619567724111893763947823787254766524959277634541984972735661", "17557052645639127612028969092298615905501441099590017645612637038388871155039", "14611542560294544731175000247845662638143395996618965422447019824692445188508", "14875482511813150890429598364311808811672194667791246609715135277474573859168", "12357659751934412727835689800199481004876282931248903954033863972285727831006", "14201390860357600242183849214083317021291881366685091682107370248618656118602", "4536398924621283733474192365647792420571958976407006702481614184515090923605", "4886785904706891896879851074077799997802539034339133661658639597377948312071", "21283406731288408861714166277505561257443514751059511102148848355433843768718", "6985706418030612419834918085303048572432805806967625916221348967214685772699" ] } ], [ [ 3265859242208901153, 8848649383815436221, 4647315503413692958, 15688860928515125094, 10848224048818424661, 5459137744921598806, 8980114601632587660, 18367541805114476678, 7558313527774932832, 12189289172874095959, 9376199563671993484, 6580374698129681531, 17532361616576120447, 1569245299830873954, 9913084973739757696, 579581895799408354, 12130862283690166730, 11998014142367701442, 16037050847636501959, 2998165208414073802, 11349078611945078730, 9772915702086885253, 15890732628146049423, 2701426580999342721, 5185987879683310554, 5563773910017849313, 15023391049374560097, 9534138351644260029, 12272056561096328491, 5308871454239900168, 7493445109696616982, 15542962101926651767, 1991793368806526637, 5346477875156242555, 10317525273389227274, 7139911700348450776, 7482883346490186798, 8616007414886084996, 3209887866434149229, 11149615164810974782, 13690046677150195931, 4457957633192227607, 17669950388275464963, 16153716674204409781, 3045021832713827506, 10528305178299572653, 12687296650207322677, 3929052968495559619, 4809565471383378354, 3843936657396910778, 7869111601024175292, 1612717438571401005, 1095776158960753832, 1088310466233258127, 2237841359675723304, 8956810685108982817, 12022419448475261603, 5099380191167358708, 9509116259179441348, 1141028477574047695, 17820355371335386050, 7593605538286315720, 2003346786953449833, 6670048142590139926, 9289157418558975591, 18079621562159922965, 8836165051697891006, 4540224696848173516, 340507752686375521, 11436092978708196308, 17267471817434939952, 8623354844024734663, 14704093686449174777, 12246496078658486683, 18036222637162926576, 14216720182478874691, 167232986391202604, 10384921262941462867, 5384764246594353229, 17772293188600898854, 2543208934948100177, 4878344419341840793, 9984353787161122729, 130848212705611552, 16257084965125124447, 7719492195194633756, 3279222515916138566, 13864101826062439515, 3268064934381569349, 14501903367769190061, 8688413759734778800, 17751793233008318471, 2812346682136017245, 5553640024790586069, 10084110896758230655, 5888374610207515262, 17851953180700101500, 16573483911383542534, 11200325627741796888, 124450504535245229, 13699569648257271067, 9297959168314777702, 17579087884940606152, 17658356046280912111, 7654701784876079075, 13922129153086017544, 9903308079817975069, 4891741961673790053, 525310933635018658, 7687490587470128324, 5907528563893011735, 12679347463878421783, 698769642395525332, 9737159439892681947, 7252497413018052063, 12457819338394769355, 17866071805718944493, 3730454052326627399, 15805156484170575254, 831586077541608498, 5662485166085875813, 3938572522547830354, 3050473394488159938, 5384983893547339336, 15826900170072044306, 2078243588268367715, 15507157186998930446, 4494430165260076243, 7228123367894879930, 8178445038459380472, 13970483827853547583, 1493377043548281834, 9836674169595501235, 12889449772080829427, 12924184751685139941, 17664104066242375663 ], { "siblings": [ "16203120826610623019876624084329544033650144066932745691361043816034310821785", "856258011696784729129771793691484855784795319747812636137057473168334254443", "10793259363972265274890391636606666719080328194271404605164271760046322584339", "6523327291371965071222955808573797614982740550842663463407116833793795963252", "13174482860276721485087470524120623749816081354741027285823637922331693680271", "10871630360587913854646605299333326678178708950538973412493573541577751257264", "7813394493510887904510046852386519506256174953044827954824011362110764215238", "2525299347363127769715738658114871661960589414591467018706842678423886063457", "8037459962880039489184258355638585598719242881448430351659598300195152846273", "12225845393895871606145403904879206708043256462016943701958309978122821720921", "13452626841717681122901521286377355077607074119397476104377025365171505686696" ] } ], [ [ 1923967575360300395, 7981663514913439625, 1234818184586558348, 17905461784383534665, 8296339547775952611, 14716433227606045860, 9026756830187003424, 12972478149864930272, 3768171433205677673, 16488000925002054379, 8386646403977634145, 16018084223577321085, 6800859444282857765, 7959734268909333928, 15261662130378316515, 5138416974625692113, 7591396360755795502, 1031128647508955446, 9658311382656827942, 13508073468772757001 ], { "siblings": [ "7235780125921464756194682529100757391566590440336571742260581217448105831658", "18281306011726016014530433093910139386537621101311931579428486790028104748757", "485588032087671061685506152557096186168445878235204889476962231048881302184", "9077367551487995793333502109425963310427380186132229040681810459941984222897", "20257590466081022936163391718440062667795064190802835876975446333972162847790", "21211619858440434216887369519272596729979418687985664620553520222939831313562", "13265683121745740484041004605701991382782218269313629077241804939880227229861", "13495147779619765379029552866518411406305318254064679812172512778649543475719", "4885847819867555017954021485987614692184328481226977488864393953602243856797", "9308618130050682003587312266683554984712736955778799437420296372404577035292", "2578789036015459292858959386968159557880296832231092887846529621387147521356" ] } ], [ [ 1424843229904176115, 9574211123355274465, 1659952761495662010, 7564930151819284367, 3328230662840730843, 6398367975853838961, 138024105906772518, 13751345911442627042, 12603701408122470152, 15982624860852669069, 10684806911812593533, 14727830048623031434, 13189260309427273749, 785734196461019225, 9681642085916565592, 11992898494024334811 ], { "siblings": [ "7683959037470040699450525120205039279331630571303988763117968259420272700900", "14264072968013148259057092067024955421279556017313923617804245894944005745654", "7306186910429218340422235684837069870817032753875989292529831041217518360313", "1467028756174703512788407246042549090560770698638820180026453668325721153911", "10961122793186882399136992687616565158213744902490701692893787153706150130804", "5273980214573315371154560275372014683373462333038866011823351583227205352391", "1517696919194306486947366697755715639237923893683671833615250586214806649395", "6575568569246877111900492102616881198714714734666506266939927803007863907956", "4097613888374395667862523220942820747754272790750910851497907041468358138865", "12247274194028226057894965166700952089964701329618319650296297403545465952771", "16119804571405095336219601138184489160663440325342128330072306322664465291266" ] } ] ] }, "steps": [ { "evals": [ [ 13738243664364994519, 8750515564107099989 ], [ 2051612290575761360, 18139229434510056180 ], [ 7593625998617966724, 12198054494706713541 ], [ 12701835430676655415, 9153335980584629865 ], [ 17124955031247159905, 13837919574226447668 ], [ 17102696926287918522, 2299041359120571460 ], [ 914580749506020482, 12019272382849005987 ], [ 1523753813758388603, 16653760686830912221 ], [ 2019284327274398594, 16656475564695591151 ], [ 3924576498549835318, 3000255157254923846 ], [ 11232768264466664501, 14471350905398067085 ], [ 8089283448239046927, 9338764181688260811 ], [ 6179230538548470050, 7527443259789974982 ], [ 13422793528759993052, 7314477963382118371 ], [ 594234327535772052, 7214329909162245149 ], [ 17832023526186304898, 11605028652360182396 ] ], "merkle_proof": { "siblings": [ "5211969866817109965820973869423635750698799878829415186606281180868082618200", "18418906466225485750295468408285067753069374828846308672345256925066646448857", "10162905333490117327247362339039851781071921486581512038063084949157274944110", "4562066331513986283230712354387672635796590974372975080925974073703360309216", "7139996569733652089715496984608284172183440744535114368054580404634934071297", "285594936399008923908407054272944022756721570531985370036461871759437760389", "10512325341241881419289132510653884543994072843646872680430822950377175003042" ] } }, { "evals": [ [ 4656626382472076635, 16724609483590233470 ], [ 6497083811156446187, 6388013830723424893 ], [ 3597700980304850004, 5643482502722481912 ], [ 13970327661679853103, 8914661603630973648 ], [ 15209978063336928054, 15659182143743985665 ], [ 3076550249772515822, 333932316270839623 ], [ 17670067288506489632, 7346333850354100368 ], [ 2242451956448723779, 16122050806535256358 ], [ 6465092855507171433, 18211139095270333431 ], [ 3305954386791091766, 14743319818125309369 ], [ 9468786035669229635, 195454025598308124 ], [ 10646513874559570611, 1955573250669457410 ], [ 1046109405382422327, 14545036812366964334 ], [ 17903455727988247317, 14149098421337538796 ], [ 17501070481280809957, 17866205832404612591 ], [ 166949135848578547, 1153309897221169437 ] ], "merkle_proof": { "siblings": [ "18263889148029695221722342214857058414798447307347716952503445928437626973784", "6084627275526042845649277286421623600896436882995320560785559466735830525543", "20445304077925439001168806144181298750121333290333929743844779272700851724278" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 6782801699482109859, 11044825107050483415, 4029392107556533617, 17721901196252915462, 2578438358764293462, 41395841950514042, 11131465425908508427, 634691010286235996, 10783862627492755734, 17313609348485381287, 12970581517696318284, 9892633106233258534, 16640596305215635862, 6128137487300337502, 4001399299904864764, 4274563795571288711, 13049163237519101887, 6279202465170861490, 4870689780904202440, 11223157746480607337, 5569743561604724599, 18239170318041329723, 15070737641835466640, 16718646232706840592, 18311206679877408707, 13027319741364483902, 4778983838722500900, 13247777989215236278, 338812239382801849, 9503791540338290053, 6840381956126379807, 9647222996145755695, 14236438078351419911, 2172731630830829965, 5865401917375666365, 18368544270377793387, 4383371627539198091, 15216747226266346938, 10566067779413009760, 13528284132232983531, 4064665825407546685, 11172475308862164767, 10321585409847844320, 841825044015581348, 13545964526103103382, 456665205690276324, 4871389100523592002, 2184281064904712308, 8754585600307556903, 17514191983460157392, 9975335362361400969, 12929656330101923468, 8151659704355918234, 8689347584748031063, 10140896135952037714, 13755212303989789320, 10878853925074196269, 13260589745731324537, 6834004677934347656, 7282761216811692509, 1170090989348988786, 15592701123533145783, 9581583927343337527, 13767088492738830301, 11282428533330631032, 2681049284907289779, 9979418271824559718, 16681633978791944177, 9621628121033650276, 17088917136758472754, 1834293007522148649, 10855033737558193327, 5725608403088985429, 979771274397308056, 8379624910545923530, 9555809342772329497, 3971979595826817858, 2209283654619209973, 10958616791939080680, 8552858432257093199, 1215409632623603092, 3127970870499009560, 1930329524471819711, 4658885207401274542, 4895696217959510170 ], { "siblings": [ "1980204987707927414318820625614957306722278188805101562326036583621654047664", "11537962102916938111562520915090687652614256961823087748929074840056804031818", "15263533255360143240556300010381661639595257575652257464040273369910683670708", "4223829769700994878523718825411850682717421464586174387395642805129870963702", "16077070366030450756191117451628935402237167859495344075763471373655568671307", "12951296941623944440602453333493941231385597703578855155074236491397655657911", "17152023139861716239976947366153717799965462030510791088496558154256598485273", "7860940206926079947637636186399817913482866869456184514977801099313345086711", "17013777915065132327429253620927397038695265269317148821587300088950589103714", "9168418877891586747269987719226393063984684266602281965425331419338137004608", "18647781706106806031557957245884096235896451874407678738319192087433980979354" ] } ], [ [ 13411477193504679887, 2583635698974896386, 4807781171143928065, 9166766408166874622, 10337463690439739611, 310776829968891061, 13887644273141330287, 3621986879640756487, 1965494612496463693, 10002889961622132260, 4339448292381295255, 13301540349724106339, 16384637088763982951, 3079685038228541015, 15768500440764658191, 7069093190685253965, 7254872083073458128, 7251500150644528388, 16677208056154095328, 851703628316990814, 15285523942190694981, 13970770588781027570, 10330171783736148070, 1392547013804122844, 7679060767308898889, 4893919640558922239, 3223096720578174228, 11508909493780199304, 1638640949622185692, 3558121390439477567, 13048255505741745523, 12082581275748801424, 17733657616295146681, 15639413676083361941, 15295697574009481964, 17145100182105844190, 8699288858231091279, 17764042591435340625, 7785857951292242800, 9841227278695989866, 1796518274575504696, 5488134368095966008, 17642888757170935481, 8172434346517445238, 5003236927564721617, 5392021086611591757, 8717694031471531727, 13814005759313130727, 16049456041986645853, 3043732657779775410, 7447721581480129137, 6697673997678384800, 5312473045404414499, 1336952750468078147, 5096565221400440408, 4445016150898869114, 6636335179918962006, 6407586617299963615, 14990358779711856059, 10008331899256178477, 7361010745408377991, 17401143576239336883, 8607057067094125944, 13206112077443675715, 8657066307554311703, 3071796869825609961, 16981946436274233615, 11096572512206290134, 8674797631661577917, 423030535382578043, 10001370985141695242, 13430460420309076542, 17776465537731190483, 6574858188290902318, 1303128756687995165, 2009244227702748874, 17501434952926620584, 2434153166873643124, 9133212759054982181, 15465444342581292938, 8145072630829310189, 17434747727656590543, 7320469305626274637, 17295622902001100543, 10992644568225081422, 4670101532417322454, 5982322106716917179, 2296689984484584803, 13673256503273239571, 650257501502986091, 64991157654157393, 10182391952094979574, 2701570518227052101, 10929497082524868483, 18134353319747533516, 16405372080775889297, 12693864759228425445, 14849691556683499237, 9986957121011163976, 3167868109746699265, 17480398455828950423, 5121955442599729195, 17112159057970825221, 13208611088494854730, 13947357458650006582, 12437015879136569292, 2421280094689172105, 14745831027228760073, 7669219008886261543, 15310421419677925899, 15676846859477448130, 1334422845768349789, 1809537732730228578, 9643008791775086648, 2094255613059533670, 9332543451481369691, 6978564542446526948, 18231445531554603978, 15778716915526632579, 5032506422785177187, 16591827305102581351, 10349368506826315520, 10121617378113555133, 771191875578854481, 13011865508100705555, 5145154212372800231, 18352047831226994433, 5319322093150912100, 3375711105264653503, 12633491234129778565, 7514699093490576015, 17842733288211415326, 13076338770161912110, 6749871822123466694, 6445936616971770294, 11773564215068765276 ], { "siblings": [ "12038001978625606179279099463598732511482900895102772492263739981629017535057", "12218675261407104624908613617016228580114056756343213989479371039152576431574", "3876478753637573406062089064450249721031804643451810266507075069760504220874", "2234596692139952173697501741712727140225879349986444596248962180851029367990", "11706958325480604786715536144996477470311451393671096603390732286317897085712", "1951136534671529430270478653193520993887537330362053244432290531059402447911", "1333469465903225175514133647180321631032769052627909290884679584182059475711", "20395256651125454530255638411893964392101992182014006661299980175650853183665", "1359414917652464280050980160864677685049109649280508719476972474492008466070", "19599899225090712931420266816281486610265850175351015956419615814164779226884", "2424320691111591643984157105262129900122061923814766497568216560204231079569" ] } ], [ [ 213495081026410899, 12324825797271007114, 14980839975470834097, 5848241653132843496, 1830095948067076692, 4762643099243468637, 14308800628198997580, 14398090804585010923, 3800249906326039216, 13911089985482177371, 4806706440588173930, 2079125950788867041, 10545864507221770436, 8317033131278133577, 4424158528916034365, 3509728696331206980, 16011291251411626066, 16144834731053650169, 3266983148588457550, 3736474289053692230 ], { "siblings": [ "20702059059873944843789677666067753660694927789138787111246979358692291890482", "13674373069818720368660464970824682898197217433613869361658082216718651607792", "11830412739439245074959914477046696700713493432100986572850313786726281988200", "16740130542598992964157917214352209756348154321953120293611001207880067928532", "15658621046374735742702058750962774677610128131149000230804626896445713090226", "13686871553987968063989014335981469281304195747266666660977494827170913505376", "17668924606445554698014648605715552786484926248310255750498102489037143401127", "12275056015866418434812873138777692540258066988857354375505677285083050917491", "3444525859201013496426713037235380668364199162140088389515454041293802921461", "15182515063758800671079851487557669679720718620349669784128888582383836194865", "8101617036588928333991262124800615689008910985222890726500579016262963409447" ] } ], [ [ 7838061665918350341, 3954267844405493152, 3647801308639672876, 12527524757680420531, 18279325769181035151, 17973428029783516163, 18223263711477556569, 2703509960137204290, 4186033749482982487, 134557235525703784, 3111805266323865929, 11079151113941602999, 7792995684677208957, 18392096359290577924, 2957065100084048418, 10259934794722356025 ], { "siblings": [ "4672689617813663680127443344616098284633590879487600489395300854517768573281", "6549765802423795337704454517304939716557365678602193418149943307364595087068", "19656612865213920960175637470764621845717986506237876572065752447171824776849", "3438553994934090198695197266120064444511086054919280431270919597272161203832", "1424036543146191732989497567431943544748960123015965851860963272169449886636", "9413755576195667573214378098538021414327083823650062294910665590516819995560", "4045345740684537978892217530659664478602039417832892780866180127176754385182", "18349911970315167034418572139559113283884610659127393546708685515724977135188", "12156812635561214227945665692627984922512764498121215076126914685228803664318", "12298952115861989883264168235553253272385466288671169587664484544001559419251", "6374290642182505626035547856639955537975806405609430112080743490010812717074" ] } ] ] }, "steps": [ { "evals": [ [ 10740763664749006029, 10523535538509738821 ], [ 5002146098608927162, 14717344955451223652 ], [ 8329021636747770937, 2884520116927019853 ], [ 516056826233327107, 3116903348143969953 ], [ 798945508929358868, 5755635017915941581 ], [ 5202778812813895733, 10361233814606998457 ], [ 16880435183807712287, 14047829865439198800 ], [ 16439818938088215497, 7879881095902271981 ], [ 3225079197269489679, 12466732201647702501 ], [ 11112953916045101932, 7220379621784607662 ], [ 18266182361911261683, 250479945035995608 ], [ 3022261426499955316, 17232242783427932042 ], [ 7331915060597585561, 2538581552995164341 ], [ 6887568272139172329, 6107219417146934537 ], [ 17501126595059811036, 7802425146337089242 ], [ 733427202488793300, 18134034545978410961 ] ], "merkle_proof": { "siblings": [ "5345740124168837648486108334600162386704765677880827114802616567460462767109", "13524343144442105102347850018834959893370224227667730189502576843222345521229", "4995007247408557761655357438811861955066757386443514223873960090717684574603", "21461126814076156085150989827186776281178033497135681803643311420804756063432", "15027259048953313591149184882204437614694753454380482440429746528485411943513", "2506838557985515192924433112774337336497430366158475394673964441688304560002", "3531309757238536815361046733398515622724886123326696674204277727325908670968" ] } }, { "evals": [ [ 3494557709413373893, 7692794459756741692 ], [ 7706689310624243165, 17416574751054333388 ], [ 16100493226127849273, 5119856629024841455 ], [ 6590207441665554090, 5079450207665343221 ], [ 14791172955683293940, 14283381110413739220 ], [ 520807441058935428, 6087560674866766514 ], [ 9344228483830851413, 8999623425242213161 ], [ 16770164203538487940, 12400823414912671903 ], [ 10417121805967018562, 8517352253806830341 ], [ 17337297188844123155, 4746815979609718028 ], [ 1956089533688069788, 13987052984973656890 ], [ 12710442991369102027, 16955124715245357360 ], [ 17984268518294654716, 3067571185729489588 ], [ 10188427482139300454, 7393924343088164626 ], [ 1812635415827398821, 15063886994442743196 ], [ 14676262194891394873, 16557528238264816150 ] ], "merkle_proof": { "siblings": [ "14652233131314891522954294045358216872100088468591765561016382886371993254424", "9431255624696897009647624151999859468052000861525492332539692545193349169700", "8668273253625807505187962763952327537596003845297140479839778672895144574102" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 14613344962707441790, 9215096808188076830, 18198443458098411421, 94043799367114048, 9184586546833601815, 1971660719608068943, 9134523072954383143, 18088834177373951614, 12331071312494421525, 14452202910195286701, 6261226797074540451, 3186712457891175175, 5375292703707855965, 2503894456190661671, 15241868660126512000, 16754243865515897186, 9195239749592801775, 1017809386456184887, 14385058984549018195, 2226713847518288022, 2921180198981711184, 13636088272389900642, 3620741730266925223, 8012169234553387343, 14733167795049624196, 2166294593178888136, 16233068117260578910, 7777950683150945801, 4631861867590558204, 15517274512288330991, 6661418880854030697, 10641302105789811892, 14194927053972327239, 17156403073255184465, 16964838509940392768, 11134250297484787269, 5926658976669022943, 14152185216659929871, 17302064551249321105, 12446011121826396565, 11725130773027365502, 7459980430251598222, 16097670012099894605, 4005031507502410156, 16122451589189020933, 2891309020214108634, 18356330685126796901, 1723903087085896089, 564398399828760862, 5601027020808560673, 15626370818413660934, 13613768052863674792, 12748410131993604944, 2495844023921011198, 8595150140347193268, 13055805519131955106, 17522581671579722911, 8971087666651376661, 7234522325041927578, 2774639512701810057, 12683069918656324155, 9681274771700232337, 6812757633136602965, 14748593274622104132, 18220927642563888767, 1550574763756288461, 14867374622569154835, 17896250012824874854, 3775965897660083862, 2739083297704553056, 6833556506963576018, 7997728082650873981, 15254344933090179753, 4752023415931086331, 9974592117407215352, 2081667400897341215, 7830332980439881063, 16702774330640470183, 17434420049205671109, 8372832949623979249, 14259573134398236611, 3997593995176741147, 8627954495600709882, 7021459459586494299, 14990234475621037949 ], { "siblings": [ "17967858861418344476753165886424665566800297434118955816231800673220638636936", "3364317589221653919337188401078067676194113815438628777219098144102407804534", "2404640410951044542310491445060812969977010286391232669801881295448797690383", "5397422247261680943506799010691929245127256928110074254251335438911752561873", "6301686583645155311372938467430278221657228090789984685947693962498507351257", "2292591880436058522933670556654262674261840392205765751215507530307027087907", "14938877894147500312108409733082019513938009829738747303977440657489888149246", "19017111476650013002680380696740646436989705577211378887350631842940482406714", "1404381730085730889668250928019525856886344281012001489585859175203907299440", "21314764114277044953638913088067406919965416579054008461699892211976115163208", "10467672364540885283294167861881876015221865837614680601218321375037439068516" ] } ], [ [ 1748879983125746193, 5455816819472803729, 419178592129330520, 6379227594685988884, 7549639421319275651, 9938398369941707404, 11236541285811611113, 12336485432012864738, 13508157913744605322, 17212519672999162947, 9045776659740594748, 158258424433664926, 11171186494750441506, 10892129507204586334, 1405012584515439711, 4170719334130030043, 7938196665338330958, 1409673748581702675, 1660772330954499086, 8461478253962733323, 1271349000954534514, 1944186327732742006, 2456288898043568648, 8705095993921782041, 15962409052747883794, 2536688403007046001, 9272964722065885141, 7165785325792997890, 14267445859458608258, 6060548448447408430, 18264695016344408715, 8043821184672314717, 6401454345106620633, 13254586011909761215, 1985659057488483847, 15509177113290115821, 10270667072424186400, 14720618680899726531, 9035985641225500600, 6937897513038704441, 5332056452860990313, 8459178531428574886, 15574111553747293445, 2007958751108429052, 13840788972367739528, 8919641374681440385, 3581660582594981525, 1244994101106417780, 8790787356508363077, 8283964577231504298, 8676810995192811531, 1058725809988643138, 7434748473453191806, 14389277129864603485, 11351905448426537289, 11566072084632741295, 7814277552585539353, 10851507858646385416, 4604436884563252959, 5128692197969520035, 3566499669831670956, 11037305354091546025, 9324399891236928438, 13706819835285358715, 3682984038356871199, 1521610825393728172, 11405768472294547879, 9191039781377438588, 17424472234705036024, 941962622516764953, 6183313545059662133, 7650001354867670856, 6014229711131398324, 13855896080694859158, 11365557362014822960, 1729633302778155312, 8549264130797739596, 4392682524412595960, 14911918493237376719, 2036268630570039379, 15899206879206746161, 9630566903948701713, 4532486046984757563, 4906911179533836818, 2035972982897796348, 18193983992644399494, 3469514689757260915, 2086260917736233069, 3726246351576519631, 6235968584304051769, 17836795006396806905, 3920464728052843703, 2271719658862962806, 15715407048730567403, 16158346317636690529, 8165140967104319525, 5916939592407084693, 2156055071140153748, 16376614828450204859, 16833555229531789679, 11270241132370252284, 7798785684069883114, 16350772153925920792, 18252360204027810210, 14740938225756801195, 13525687379393034501, 10832667812452021460, 9512375706753874255, 1927618188647468024, 1794999420922606220, 201983940757807859, 11293374634606418613, 14308339072607592383, 663615399784345620, 18142611577255162997, 15250838990027261350, 12444399330474954647, 11061647167990486343, 4278804717736679934, 13889550693146168147, 6496930779971456171, 15953824273392275373, 4887258997607804034, 8037027122390724411, 8834931142801417148, 8805243063927595551, 10765809937112480576, 15707674138422042395, 9151581824031467990, 6615262046046719599, 13852439168202449382, 5449027506896875211, 7795943761104569599, 9596023280145630228, 14422698036881126322, 17574092700453539354 ], { "siblings": [ "15315248281786711832469776607406357024285188489102058311080103438084455744859", "17818798700133504716388580383619729359510172748575866386117823261424453015214", "19434328163507789980066817298023624247115982698571235954925105473445521221303", "17852041507331737496296203776255484353972435733006504392777426786091424902018", "20674449607503293492490013271325928498233891040231232681575453505016884358028", "18226117824611007129206163815639357304578063146987628343269195182739555045552", "15223530705030729014649643772393961154253064491604927282062234561228537693601", "723448487232780193689061354299014561768296115533041576155894129132563434373", "19806650029379688100031225208542696117076511617226521450523299542283443238756", "6635370276576447403311458387628354367305743338198227012455129110132100043077", "19488926977786925631574883149636743275717444689866488359687190211729175855490" ] } ], [ [ 17060438011396912651, 14587950028453844886, 3397037722692596802, 16065178995980946162, 12285797663235116889, 10898132858956987005, 12405362562100571117, 5467739375179118153, 2985922424180531171, 18141099713764946540, 887899157369219135, 8128196932417582999, 16219575835817450933, 1098216491266373820, 14143879816503790530, 13771188910252843834, 4733194347118620810, 12458803431411128401, 16110536356528807003, 3782453980950649540 ], { "siblings": [ "5811779890170031018229053060474824148123367601218830985616420556359273308495", "3454530150317957356439880213169071558869577657533802944654574172881175790011", "15458132002159579227119182068504921426537906949854124885270148830745737627272", "21585648371267343907920004512289238565798189634349777239245381225434169111139", "20642225842727816457437299249356883974754360956380810614518945101102615649601", "17173278867968823468388297411025057824121445810368639041697738816211304879493", "16623341925097996818904901225145808667817783968115137845814729077208661374309", "17208302949743800498905368685875816955260307860544714175497511453060913492585", "15553872793310038081828209387544260560746146977095261036330869820909010950000", "2172957885013171128528822020171203568139408035732851573907546573513769520039", "12304112355808155403201047526873962496626253671317194985784073706242231513973" ] } ], [ [ 1264866815439706866, 14572289002530519272, 8679069904498891077, 2278008954418382555, 3297555926810290333, 15266628888473637550, 1556776555604936312, 15367909056856561475, 10234070206700263824, 11728954070330559970, 13531935982684427538, 16051409679639105569, 4460887715745336910, 14165714622965008638, 1265317574821500075, 10984699318180676102 ], { "siblings": [ "21049051230312641000700559314882830500320792775251960178293853508514462062193", "21856711570262314907231133514081256881505230975664498938934731233004798659840", "3357633820732215071066359899281875018274322764000638979993506355629616836092", "10583069477502003810336459978541614953471892792041401220599731169907699185097", "18600459146859244910236225179876986656224508871425373227400785477267156403884", "12662216140043892017896761341598772501765156207530479243035268591508123947746", "9783486097411019275565636430524788096800128726235625121028150784632620688833", "10655592038326687077094741561548269905396649574090138508774099901038648765741", "6167798966282238735434873199381634156076342088801759976047025429145229236461", "14981140219457111306485944481110666597523751397627985642592396603721453320152", "6630852923915546442736555996939139897594275434476040366030089912467504546699" ] } ] ] }, "steps": [ { "evals": [ [ 14175624176934715696, 13127956743651175904 ], [ 16304824028386723934, 18017458782744516612 ], [ 10323212363168914016, 1234496787597162440 ], [ 4254646914430687617, 12819544935165127016 ], [ 11443722070199186332, 16692896949593878633 ], [ 7313836690773132932, 8883815691992518560 ], [ 11643553461908467178, 16148927205603599785 ], [ 9808740399019154176, 14368267031981799675 ], [ 4217392644279388175, 5360493511572853411 ], [ 5075879406064370592, 3382045328971844301 ], [ 11461047745212293976, 8198426928331028086 ], [ 15943551100020364330, 15028432137084597237 ], [ 17503024732825333948, 5977187616078497939 ], [ 524425102870699523, 9152519260581302931 ], [ 15106341152158388897, 18217476431614087578 ], [ 7459237351461190551, 1582411479658665300 ] ], "merkle_proof": { "siblings": [ "21678577582632987553799895182338971041514279620440460230525365530169811299602", "551881516722376055021045479482127762096880442703869861378629700414401894860", "2952975598087193454831734129523603480070342406703598850935825673135277613269", "11216282317542031715976400909489517730834975652934107365097880413437506852516", "2325050027097000972479584596521507828161766151487549307701997088028490237295", "19918299123710052988343965832038630086273275739437579331361699759499593035874", "2565150747101919773295818757693904295660261567434504658347561224024639450085" ] } }, { "evals": [ [ 17421424993343808336, 1786503002457807765 ], [ 14300118566492221324, 10826819756886790061 ], [ 102361842919433384, 13302822190372919626 ], [ 4023917177508759701, 15908383687980377813 ], [ 11233088532963375246, 16649546115279737435 ], [ 7397286030639504098, 10266212858225780751 ], [ 5523877993421305532, 1306508471444125652 ], [ 6021447343306936308, 2074017627665132497 ], [ 11558424710205289057, 11412867028471953047 ], [ 2930725124532281496, 11409641968452390132 ], [ 14523782122491518381, 18315156222255208904 ], [ 17752866932288517547, 15039207003052676048 ], [ 295644864325967766, 4594384141340298809 ], [ 11598103384089233612, 7458511980949942096 ], [ 2164426579450633668, 13241855323338333731 ], [ 3282540675557433280, 16504235235664898510 ] ], "merkle_proof": { "siblings": [ "1523802825148024890667648559205921082768984065585376564153781496061025711803", "21788949971636596776394270765849682301325938222023967411841294228939123248513", "13857184917375052314108644952656405426807757256387698599161802525922247463177" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 2865454960652701628, 13550641086960824862, 4445985840897125608, 13016680034417710204, 1524313206765167930, 15577011178497366853, 16312851786468668248, 589050006799075912, 15812131171702504370, 13619826470301645269, 17293913792610781396, 12973950767221861990, 18419121167697243511, 16681139044814785175, 15678293420167428612, 10582106301596424735, 8292614219621567051, 3968156667208874112, 12672840109498585002, 4270064272820230258, 1198812362590658235, 17201830241693136708, 2938081357949023680, 5514816148078009135, 6879721919744515433, 11401329392692802552, 13345552315179898960, 11558369606986248045, 5297958852825691294, 17957704810712966223, 297627194589837771, 12019948588805125753, 11939266403377179010, 2837239521512189575, 5055054101210143827, 7247114643782874928, 15502726126900729578, 4267005468343276776, 5753896158973393941, 3546943017788155298, 5332214872204368874, 18173404066467087008, 187908961537319322, 4739299347962625893, 8491513887207918152, 8208693227770576456, 11304495724371826793, 5487256398454194504, 11635048187292534541, 12045534114357929018, 17340843794113545234, 10307815040777565560, 16612769175523120703, 5158702639320387818, 2411667376312263942, 3042777325551078238, 6256983546792313986, 1825307666683795861, 17798762564045229583, 4859426361129214714, 2543245041665539092, 5249687152651115762, 10511179597092876457, 15614777794735823737, 5904305880649072350, 6384370422104923798, 16911611923691001497, 9912881955139979346, 114628865270468496, 4890857539610848256, 9576235860460936385, 8746514244585385872, 8089415723008423327, 16175413700778993911, 11003587904942330502, 1581169892182615819, 12818429513708408681, 12558579420403522395, 17120883547990192429, 13317253739965798615, 2614887581067686895, 8956949244714763856, 5048051154060618814, 12246588122911925209, 18229373116313446859 ], { "siblings": [ "1658036829938105856347697633717886359646220976368180155642199869450397449318", "17779916865981487907051461671047506426989247229224483458464905018602168191377", "1544878085002740787184142194916693138022089443959380872238647782610437308118", "5517128198180452416669198760995150983067386164084376135967464258033489499150", "19586287088341893215732953316846476933476492123147702327408601866350275406104", "2589761049383177006823586675779953118288264686983393781292886007366136548409", "16005424761454193777616800881984182566280609377000108213864201928601383008692", "15638279518197071219529576493673990872842188465169283084391981775112782059129", "9064182001198435382259387173504479037974822924323643793619212298569184884203", "8336520192513034736068310488218600029910984980639467342833152695523684196579", "20553216882413158670833878048993525124852242187210176224113419987439027285361" ] } ], [ [ 9166741770678122257, 5765260196822646910, 454730044488704684, 11950381028625500842, 3140805183490862069, 4911323879525052865, 3723097519028264998, 15373564361729281201, 17845760032820350112, 5886853105843240600, 10000802706759764075, 15758501151921236714, 2271225898286149081, 13404942609988288708, 7213560945209314658, 144383707188293690, 12099708544143458691, 11682072425002775054, 2165526665280168111, 9027081121394838922, 15204355370856692622, 4086329727240955135, 7894919757776775810, 14802126341441158169, 17387537853097774781, 12715493185050650103, 9056510523613073941, 13123937738665043067, 16765112956083966743, 7695726271128044256, 7557741008793422092, 2461904246934361664, 12058600410580322277, 15050622605996111781, 14989746062065726795, 11266320480946958510, 15707430866477533155, 11547753560609053044, 18379759737459127081, 17945486849590921225, 11567396557584857821, 2061496033370387360, 9402598185654681140, 2148530692306403603, 6555154061110073609, 2447269734148921943, 16703397204966923512, 16143134365097782109, 6109573093397747030, 573535903091758905, 2918666136663221874, 16373453446582414238, 9477795399286781131, 5031092377397050717, 3751886307401591408, 13521480167786294824, 727437881515577202, 2462943806438617549, 10727841534650425482, 12309546038683279415, 10448137173367138943, 10494391080181439594, 7387263298523954535, 13324093519105719395, 11455521539724009704, 4478605424705412930, 12387202275128299670, 10444043778550642158, 11975940304701972568, 11535291613036510651, 16796789978979087013, 9471639927313720839, 2913364670781832747, 17017193148228357859, 7316500945255591650, 6636540451222633940, 12872481273898839329, 5004652061223598345, 9555521341000380157, 1420292918955597245, 6198749649754793836, 7800928641482857142, 4867485696974264645, 16822725159533259852, 17076584086099405119, 5842078524944992277, 387488751543999087, 13100557986594148531, 1316370715305237452, 17288114652380484654, 14131530883955474666, 1224461508506554041, 3573974787370341486, 6507703754018307535, 13999307288362142874, 2494619209208986985, 3199572022041921784, 12825113273668733380, 8155568572399158359, 14221211453700741601, 15791535657749313440, 13530181364918689818, 1269914254952123240, 13373576044714782067, 7571504063769095948, 13724815573112439991, 2745889748257374532, 18013927053728637564, 3597611848525365544, 1765103023536445541, 14403328526145458759, 18036202916905904284, 17989841405780336541, 14943965588903580682, 14440696535029284244, 6639731171905988719, 3667791256044971676, 5053898456131531592, 9077600144246694979, 4854945866128356462, 10704026462088205297, 16169600003031499404, 5298712992883386503, 6105859911627874906, 3297714698103498253, 4177020870089247378, 8850767482207412813, 16911570366462903927, 11773741021169659861, 16949784976059822579, 15146656401346549361, 4591479837011423776, 16636156719506235740, 17828228738701742971, 9158006043321032521, 17639280669045274502 ], { "siblings": [ "2238672862635323348919947227473020524738422847566259961988031789115191407117", "241635103436453533773184864729249213029695341304623909118811395985824326080", "21740036179188644734232107780964559736769417391842458195754351824916220783949", "5509064988015751825705656199333328727824633314374828936582705461005385508913", "4851116412769614117243462969083770366605117095474522323417123392889847215570", "20680156459894835743691908914194815187486705290257682114691302770182263571782", "9261005274425899034822195729215490124110281439032511562219003969158474582028", "18759028321412083706491989527797687202553012530346329925811269356824492853247", "21133821775835964020555456884087169086293769474830700009493101729393911002184", "19526428468176214074838100115761855949136773462036599739551925208609013630666", "19159396835953369537710451928864886364132879845451698606746155109975624580524" ] } ], [ [ 1742515261301929262, 10816061592511130118, 10991572763491502365, 12244406564789083413, 9256085692358932761, 15464456556340759684, 3487258206929209596, 4484894511468951140, 1762159856641217793, 3223110299014960376, 609793161864137743, 15614122408087875042, 11121137568372131395, 1455674211262019076, 8152629289515410642, 9520012870085558200, 12690480137400695618, 18008345413399840991, 6551271051416870221, 17460030538540766161 ], { "siblings": [ "18815316315935843063104468533670933389176135956846448057564917200151961259823", "4081232603095340988473202366315893293834808080878045427080233816894085268313", "21241073272233006115290888985241760257240084889011514499147514206178700243258", "7309106666876176604085470566258496614618536296521670029762589178294747985100", "16185916998806411070960937340184987833930879307283683921398491212603784839468", "9024439854732215702637347821503947375049194992882470475697224670811968889686", "10674081636736956416062865680700704539312197691901138592453320808993678093661", "4774580067409336449219771255757157319397904585275587460990564827856842251461", "14989021331345441416276725929529767512660051003033696860661529691055731020610", "5043864034202516715070866738434177640521191333362688491479827656683269017402", "859601758517745521505204395324098137062104775592643694362342091926872009234" ] } ], [ [ 7512939946597269328, 16080765628419584, 302995474731704302, 14393694036562906660, 3165236232506246645, 8087887733640973262, 6136688045466609066, 17532170362473192639, 5593815734452765334, 7685399663957131085, 2552782638926758530, 4348934912018324243, 15443361479443596619, 8150727444988511016, 2582302033624163081, 4726677184565284171 ], { "siblings": [ "15682370140659002160045425834143524279904457293258143332407255170023016615326", "10712668523776668293797197790997610377777795836814524452025185375296812224929", "5707643783541296315629569514869533402639766252378663955135034978967332293550", "6562704694895651709421892509775726173978665776091182496005755697249766301487", "16148548178477089841850589061320244278036467883204802786864971529969206151643", "4266921093405255665482432574835459970027115951464199672070822076950353640194", "7434442458363872664588644036102064763665028830257040246192006444661337331752", "326288988367976037036053549724327509293995499973063219634324609307210786060", "19047635077679980009644694139692056647764927577314983972133923835077819815009", "3933841588715778167794072205321502997943875336505802388300723467287419446064", "6585297875175740737120780044669000961113618705383122158619076124859299386511" ] } ] ] }, "steps": [ { "evals": [ [ 13912121281081059354, 14615983026399513304 ], [ 16216465142507914702, 11272175243147323348 ], [ 14038335334671380610, 13596170804255663866 ], [ 3546376427373445680, 8184244685420811039 ], [ 17617834460326150496, 15287022109149567922 ], [ 3989572154629745514, 8053033871150081765 ], [ 10203273116071718112, 18299872207227732180 ], [ 16469969797010616699, 1009316674973422743 ], [ 8679107888529744339, 12004680113674951286 ], [ 4296696109793995562, 2727118931562101720 ], [ 13050046480316747803, 3109283772713418506 ], [ 6418301402506023, 3552897961256181049 ], [ 375243767581854492, 963510100912454471 ], [ 15690330805012584511, 6229204449233353413 ], [ 3324673164853058500, 445037205141123523 ], [ 10874552196663991164, 478650887109659339 ] ], "merkle_proof": { "siblings": [ "9248511858721319333501999285542372793205246672894263582121460469673795938980", "10165742472807793835344731577674700057866185796117393576973679338034153048230", "19360107344232027510671973809372071325616165367555120271623790824775961873791", "7774471841465264407905941130519430557830101557952527374253146543168855786402", "8988540401567878356885179382323208079068406913999718197612565196351766497368", "15606353109471295256449674854811054868271463788382236388962574061643661114808", "227248206576356469974134084122345918295527166668821921524731053252293247415" ] } }, { "evals": [ [ 18187644606473754086, 5453436224291977098 ], [ 3311217922369695296, 3581156921305823961 ], [ 11670002254874952652, 16150944888193517152 ], [ 3910841006817761718, 6223645866185148079 ], [ 6592636331473276210, 15277003338069764678 ], [ 7971554941621288591, 9575393397972609721 ], [ 4596712468728108168, 15270639849728412808 ], [ 15885732600927306948, 14584172578865842919 ], [ 5197389718396072627, 6184340862075919670 ], [ 4427340268415598044, 14927005929419977983 ], [ 7694599724157026, 10810969415440616933 ], [ 18275739083799036371, 16708904563920582027 ], [ 15903369857283347116, 11976903071302906226 ], [ 3017247889274560886, 14563828485148743518 ], [ 17933421571752608430, 11149892427182656495 ], [ 9823201431961394231, 14696477450594910463 ] ], "merkle_proof": { "siblings": [ "2701911725341331276097228980512196319825517121484019469104454549418241291505", "17071158144715995490956904874685277147904523202457115082882196846665202531091", "21624948559385955752908854809889245347012252094669546686134727698597091388973" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 6633917553239862471, 3869945074535860118, 307258939886918104, 17432008695828624661, 14928741350505477024, 9607194359783763696, 17990083927037454794, 5928874630384014018, 7000010672557770070, 10934902297741060897, 9774269940509734886, 11785519777846148769, 9877000606826877961, 6460875767007627943, 12830999688106481399, 9989712182264882095, 4186585991760624094, 4749238469301066313, 7136720233011159103, 669093956260452098, 11092504537942087797, 272878331118214377, 17136242599053503230, 12541451170825242906, 5675430454156034005, 10113234393427315087, 15662037805211922848, 15922118004726893145, 4817000405432233654, 9249779327198681676, 11229633115252413504, 9798616490257377928, 7654466179356613169, 1827097647206122691, 18333571886519504430, 5477652931747990831, 7257008276247955627, 14581972274698579844, 1249126268028846054, 6484831607810693192, 8559661413283574792, 14701569281696902916, 3642662507673260219, 1660521954288695749, 14294074100074665879, 7911151976283934034, 13872825103937737279, 9596650412377548433, 13258198197136005265, 12645969887499437023, 12953475729972139233, 9276150744425445719, 17953403099382602693, 17616219958178109238, 4297647036174130849, 12343836441185528142, 5497042950049606392, 15192128818207617651, 16223711831189029777, 7644969935840710145, 13621863917134883279, 18291419684968578886, 16646967724092019930, 10520654380366404463, 2992355102067091051, 2740838289613518366, 11004484933892251764, 15453721424036801714, 13406821813855144541, 12233605417019952609, 17208192014187628986, 10095004516568909357, 9447807044099341660, 9699760540965961536, 17429373568513855793, 14491717543905329293, 9266063082742062259, 7300703733949516427, 4598398149936649190, 11137914667018863527, 15443891539479282330, 3251313164227507804, 15307962679111552537, 2841599795305579796, 2209320329269280222 ], { "siblings": [ "2086920724642572498728178506348729989907981961256585194612046554932645377594", "1173754250569814049258037934336854011255920353427132339285956164169392457157", "5747639873201373241562469361733743257558439014014304649476680208475101925473", "6776346114029776371593831152778324861035558968541689933235843016939161194526", "4903800778079527256141636774115069539372615169564729153975958409591612588947", "16561994743937008498066210467093682119273102295198473199097589370638405848951", "7109202077877256465926251019478472095327602487721803165459185868636103158288", "9283392901436136840301858688710848127910706612011159069884036417892655301369", "10108837028664038177782657303465580855552881477927465596140417233750040411097", "3865063524320734214118314223571522451434892687493827165442758014515311264948", "3544693701774408569261389050809001688660306493058451364439149727086247008012" ] } ], [ [ 8807842881776857124, 4833914382101864483, 14912151816884614775, 9908006679947569073, 9754104510960881996, 7570145865129540087, 15077871368493719833, 5790577584918971961, 1124737937293335661, 845996998142878194, 2969309986512694958, 7619816586365086491, 3599675428869756180, 16447373770975117159, 9224262285729360691, 17577233288434270116, 6800641166443024884, 18199404942228364276, 9160392942360140360, 7487907084124316036, 2902724301441302893, 329099208370803100, 11208484264244746470, 9476456875490062453, 18153476476985267006, 2499600938970990744, 11400889965746794114, 563958326732686057, 1390088219621819118, 15941139116631793307, 12740541796796196052, 3922082054460141128, 12982380713280030903, 2675601464952335849, 12720032222525135859, 14404603115619962429, 13216797630641585213, 675452676827088161, 12764085807969948829, 481325571649734269, 373651277613360491, 15295120225705045974, 7223303510219685887, 15558023340633568016, 15394369738820994897, 11339574883768999304, 795213387140316794, 10185217865771351143, 1657904897677994340, 6819293787774639628, 9051131729809431897, 10290688158638657125, 815556932990383108, 8319074030165835095, 440204917341853077, 15460118885963613899, 9596438506714629533, 4701779095576015651, 4143897963624200764, 5000749066822152149, 1071916718608789511, 6750299121354408846, 16655319439988656004, 5869303511889896754, 8825061905580073930, 6421895333544993322, 4528315891867094835, 12443599486061490969, 4812622683589418418, 13835801832578508805, 5382018474425614941, 6781766130019764481, 10506421571400197229, 11429659250782644493, 5306618457049066207, 5561144047377156739, 3560293424419708113, 16134650908010323101, 5923282859687591032, 6444468178995181703, 2284392528671349364, 12180949142323516960, 10458897884229218286, 5204783387432408377, 10580316849492573238, 14326540293753320396, 438244439007680114, 13169387001902546509, 4911876759841275058, 10949753852225204584, 12525944093113624612, 14449455130095689176, 16884380379483418454, 436061866230693752, 12055758524627982172, 3575298435163133374, 13544543478483864497, 500596199909179924, 1060279489402497414, 16219921261264657850, 4224388872858327172, 10992964561278757123, 13294452854857430185, 6033211553338571078, 5842784245676026569, 12672079834573693320, 10227636763688582929, 11023205235810432747, 11314540029583227450, 10343257120041026418, 9550071764922709689, 13396333784679017907, 1883469838779166, 4871377341062755370, 13445858697096170700, 6505836839509365623, 2609626354491700798, 3330776714946861632, 12625586940568926186, 8739686120928231039, 7887566477368205606, 4749866326756192487, 6449800174768551695, 17284703437770464205, 12646501437304986341, 5517147054876140382, 4891609336936624177, 13563428313040112424, 13535716654478471217, 7680373867096822919, 17665590696075846040, 5588886111286643993, 17361763893944813121, 9048353263068558669, 4741271172184774700, 11282735092763418770 ], { "siblings": [ "3647317240252774384415362679833609191862680951726501964478275098092376127541", "13033885450086295776473210819671115051443775591691828783327149590898698074136", "7477115335923990153343536055707638364446247205342122768566586094038917466148", "20624415803166316684880788772701433886901208106387333038190536424141170494409", "7445611032367054085478912845330964553321199338504088451387308108461977172171", "7616045273569223299334628045386621451960580953247083786920357045166604523149", "2199832139621499614004658085855393520833323458470853639999478443744520778009", "8788085426213833168142930796527997592281615730762530590275085126497045042645", "4248262024643740330288605976512700228586384120920830842167283075693633228918", "15248824211264631754269134189070677495804551740220638290277849186057738324546", "8966074347081597058488359068992345588778035569118526212966568709662563715694" ] } ], [ [ 8153979635535515586, 6553029206569084145, 15962671866415667260, 15808669839099065267, 9103339894801740505, 6905662390632431842, 11587148806578029384, 4597706041317179690, 13192208597299567077, 15960961256938887749, 6475470120949132682, 8589513326797092356, 2421317112072112069, 2676838069623130241, 10409733176930996330, 1327836975208765464, 7834944172121859773, 18200440324477029206, 2912150044955593683, 18225460058519375836 ], { "siblings": [ "20730456956755542884665739383464617729505228752044217370352743350289872309809", "11077685660801958693170173850241155395398588199798911054014343126934201038549", "408471989794189017791475167985651082001095302882761521483164141013721553576", "6484901536055732637867038286829969137152099157295695973882049151154333247638", "17409767699806436422546097076939583995790616280262412316276336652374389662227", "2395739367972696074525373413476860632351128977945906868763263840754537749943", "19250511862522304141303030914988459623390667488575654161671104355854066409914", "4890355257206280081607386768076110637400165984700181838738870742768378841304", "16145145168781155848578377372479957801078766409794144871462449619406788023612", "16716413841505851611631074700110678883182238688934884213511077262353654062463", "20541485854698233721849456240461512223513401648124250682157323945319800558153" ] } ], [ [ 2461225783753169174, 11517621489497211261, 10864745080135523428, 12064266118414190619, 15468716426258423137, 17456759288655680741, 16202046624314844265, 13013083575372515954, 13608827942120144607, 17310290715573333501, 2838333941955066864, 11231636285681796094, 1427129624824308748, 3791006623194000267, 1746582952819202259, 6057720609635455504 ], { "siblings": [ "12488812117815484702438661690986139483221668983474758574584514540209701497210", "3828471138190754135532077313469683306145485058676447683280001802855631988316", "15723081285896169907509594615994893641339113969357614327222106087112237167177", "1488025723932878367295689959308997070637346344989676272796369858533442247987", "7912051976519409799528546670749833127714443264161537757002842364932177746096", "18847574328743243219815525494812541789845517796456469767045660060071419246572", "3569296126525517479065642620344167142731248934078783413505615739899968251312", "10723100413390875476086164608675941422360977993654570759501463089834863362426", "2556992062031404841730760293103406795859128190775454882451808066130835486429", "10693799419423441425408582466534960474477860832011013519356307352247110257203", "15458186628009717808965983926700796555569111370427294193838097644550708298885" ] } ] ] }, "steps": [ { "evals": [ [ 15005470120818185198, 8918678948280352823 ], [ 17279697564103375128, 9131516409625214072 ], [ 16587763895514768629, 4856906093826260875 ], [ 5135891716147043530, 10302207544156948491 ], [ 17510507827012091166, 5581569399821488017 ], [ 5964414710683631893, 7953710876727180371 ], [ 2432508811688425243, 13652689963932497288 ], [ 1990855012502948981, 12525825431673959606 ], [ 1873614991610975168, 2382435063247435586 ], [ 13123093964900374462, 13649576093590503426 ], [ 7625846335346374923, 3440863097151792472 ], [ 7741249073237410212, 3303395382212814707 ], [ 25919134894759418, 8235812522517547148 ], [ 12210012358201680215, 12898617816388917127 ], [ 11830476949644476566, 7649302897100655517 ], [ 18148825462796480711, 9254129118858946954 ] ], "merkle_proof": { "siblings": [ "7803100264957139842234607005836183631098681155674867777764761628438954557867", "18034593729820611131695919485709761404258944947926223062689700020616173615619", "1146342153172075619852753451902843091046311616443105912152735707868286029963", "11337824296151078327541646609815394352819766280470457323022716107607684835122", "10302107792217543473624691028819349783330896028343767172298762699733541837431", "801193266586043270171443797000487984080239802671163355771557143008385673758", "6133783508411115145475231597665045611000158077671026723614597850991285340137" ] } }, { "evals": [ [ 10883476366496629494, 10417110453977029560 ], [ 15079585194946969984, 551397290274698781 ], [ 9380323643506113363, 6006944020147905178 ], [ 15785751398453616865, 9624454722640524206 ], [ 11978670283511411708, 4830729634587817272 ], [ 16946038367795049296, 18156857104714870740 ], [ 16513527207730619870, 16791081641157921262 ], [ 6896379317642599240, 6747306451712193448 ], [ 3956839145928217561, 2512330852867238584 ], [ 4464630921077639984, 12327141234126611522 ], [ 296389323558308202, 16620842685564259623 ], [ 12156131032680771801, 12001644309771062167 ], [ 938384804716075575, 7751417351542443050 ], [ 11521839750920536346, 16896148230317629633 ], [ 2649722718513739923, 13624999600556802162 ], [ 296895237021637364, 3588771963571613017 ] ], "merkle_proof": { "siblings": [ "4103565607658967083715012627535124821878579001275819761164313000242824580409", "3534109582727634436013193510345826917341641718287003939753955481809869206442", "18975415830514438638006306324728354389202527737240895560693776548295244787859" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 4926537348476985538, 4445984366092136175, 6291376773403843111, 13179166583180383206, 6838365411399709287, 17953573559978327436, 5844809423326292659, 1617247960583489313, 7503103239089229914, 12030296478812140260, 11938469494309858675, 15368776696168760646, 14974793816439239239, 4117522560498124954, 6417403618120655370, 17233492421697118806, 15805410989142974842, 1931537864273013219, 16389188710963063684, 15454690344914430002, 1365036728356952518, 17416040145157928809, 17679449227543948046, 10397116994687161060, 7617592061009165549, 4593522710860726483, 14879176212706317717, 147049178443611871, 1984029644264840512, 13599886860610569823, 13630565665335895358, 445938612797634433, 12570106544776964787, 1170997549678589033, 5195954046911423052, 2610858920765817382, 585530664509597053, 11438734820524713567, 5302455904176573292, 2708586584870636710, 3807989136737210613, 16476358838031305170, 15881502659477510117, 13081571567046286021, 4660496947017729135, 17188964630433043948, 12346693976912189733, 2369162967303660869, 10967801276559601769, 8244825528045711379, 4306753121099508677, 8657170849151411572, 5164216284907691234, 43372220081221679, 8906048142224500142, 4870035086273254925, 15385092000403867830, 7355123628958343826, 2766098893890789111, 8113926402777378769, 6954770529348493320, 2062871192455712364, 14178799556403434333, 4846095837333937653, 253055272582607718, 12364827478829962660, 11732218834538843649, 4745232417281366671, 4457317622847842670, 8906603183273552408, 12459534318352144352, 15074095262988982352, 12042384710998245294, 13696371855548174782, 16032610355473396360, 15290107742240940418, 6954536823937212692, 12003203694598515826, 3595917753626318981, 5836994775120767066, 18445082065538674593, 12308049805716696327, 13849569908224861804, 11317840407624469666, 18168506304239278169 ], { "siblings": [ "17402516899665172216271499643722906634667769122029493707727783935588548731668", "16626630434237408409778998859700776582007906529264914130607728266102678714384", "7826012709746123153731109617343159431611287215144554998757415794024297090263", "14254496266256834976224039135045079166461677090270747996281820377484843591329", "6181896525311816714446534173859770129370830841513868878255525738103059889527", "10324907217499238489347323330219856142202138392572687632025255940165338737970", "15815498282000818537715481996177863522653513601654406263307794238816274080884", "547194243504956068239112418800628264741420386935678959888919425932357090484", "3822421348124045887284748359462656711116202220560780811013667253315173028963", "386284850235914385048280170365163292398308749643715806008308402449824985916", "1194999694459824353173579702494630624766281827559247132318072124486113796278" ] } ], [ [ 681874194933566645, 8857497352247411502, 16920459507776691131, 15698615412289760180, 590164591525949741, 11323441702050106124, 2438338144563123716, 10772139681840933600, 9206007269662557583, 15137696893971601064, 13365013594998618736, 14320691699212117691, 8689268880652120472, 17326354615740193360, 6649909383722687518, 12017670362496329115, 15656088443246547991, 13779612669297572571, 215379337015343941, 10078864645507436722, 7036368284652116969, 9958945702236523604, 3228467099869313223, 14298950757260588795, 661478349385060731, 8267185335167467995, 8193845617144856159, 15607609701587406240, 12775431960969649124, 7857846365981727737, 15822724258854882177, 8155165065745395607, 1867694351235966069, 13232281113350239567, 8661097703604750622, 3590294254593689961, 5394594226956610924, 10388712168887739639, 14058008597577106580, 16503404133042259386, 10681120767209746898, 15263786412049423094, 14009499296341595458, 171432365528849605, 9524268963434644525, 4389387423761785487, 14422410688116012384, 14353795800394568021, 7403486689047000456, 1467446756196493087, 6410437876939310300, 1087441266710041107, 1967929507559569214, 6704857353874896501, 2211029689268865595, 17714149938654283339, 14648261957219379824, 14707361598288081976, 12766535112839024523, 8822218050974138230, 2078328492976563220, 10506523503567091569, 8467017714813089294, 4190706209983181783, 16926224769855165840, 10587201849493090447, 14377837839636531718, 6371184447103405762, 1864956478647700832, 12055279653266856472, 8933724940601567498, 17925084743492135144, 14995601310808584752, 6374393459185937764, 6703094595388460337, 8242771059085798476, 828452344244310622, 12869152771457302497, 9848712514218112284, 10276933788502687751, 14185936136490284131, 16845900676050512666, 13907155219416618370, 8816445309532342542, 13100889074375938074, 15223923951206842387, 4042181907670273701, 11539571960986798099, 12026899046856934955, 8329307298916325738, 17697455171547700403, 4515816340564476470, 14114168948504518587, 3939074251744643783, 8248840721673427010, 6250749621769687602, 16793659488504799645, 11562815371777074204, 15683261741457014806, 5911083508151683962, 5396004840238679907, 6792254669825355903, 13409496499699722604, 6120986566690457302, 9867042850237858014, 15214216822675147667, 13899599829133957587, 12953104056366866183, 18344629524356863404, 625153919617325000, 3434034724823801317, 13346095561335203630, 3690929920432143018, 16830685490460659400, 2092539897888913702, 15303621964134889821, 3903901565430041219, 7940207371908294396, 2601656444907961911, 2531348548186368219, 3356305626994592753, 3698923357005711168, 6425979045759472248, 1620199738894904482, 6966415427466552317, 13735153176480738672, 8062005607312154612, 18060919879649834626, 15166155899192399202, 8023779368738760082, 14878121180525089738, 14874770501867312926, 9128114640397125975, 1247580594462021108, 16631899201043092371, 15180284250011926210 ], { "siblings": [ "8498911686720916130027293028210409608465974157757980638925079889035182987022", "8918313089302039157223955311329143476397443129068198571948479764430528160146", "18391252575970763519522519454985813639601477745183794286246227599931202450845", "10397276213487629967664931096152466909613663348653211536995061383971871815168", "15336092238259424180339579410957893484398834914045163820820110438169249671241", "4526942639950790158768643540805932708128602606114220383243307108085328971407", "14565019599028482297718944852659467613708926096157514247589961509490431124178", "1180559947121299476641774484834486535352972758001963872243868381299219633683", "14041461833768462893569724223321799836706040476012982063021173741299508687807", "3733155646233563452073117891317739429612946228640672067745897579279595421339", "4668555584651246888414402926747867177181046581060559736487432351304392598097" ] } ], [ [ 9048009564945172704, 14131911944995273184, 8569265986795041427, 57777223783132128, 3356080470278376294, 3831180380849916373, 17364098333669093160, 15131110766858438152, 7895860399072259927, 6513797003274367109, 13613962662269781530, 17941526152020656464, 872529733109985765, 12158543084952324830, 16259177171856584757, 6910573064661428379, 13764290354302940167, 257867083882849315, 12580019092702634692, 17488355911765554362 ], { "siblings": [ "14521461580394814263589031410382330777810490652429916616065282287537329246374", "10128243875499329492186398932805700124817590934905525030367388124257260444929", "16904365247781676280853969501149651620241854422487585028471911128540689123977", "5888998839026436431670281453644343911552094723456759237568097074407447519328", "12097294885045121402692641042891962991857091194494669776722957278725857343053", "10361067724479839922966019107504101220378461600494030875531272919044217346498", "673902087525515651029382286636498367175165629603812607836168705497162691324", "14733989032662705217827331918867964299860553712120671174551925520527183585712", "4767993778247279575941681395313685664627303215630501656387446385220865161898", "16339025560640625299890138105964478984878540490529778806060284463411053334490", "18808921760560523855306273544114984268316495200080444030329217628210145057174" ] } ], [ [ 10122923867904415730, 1744959397647157363, 3725175813275133554, 12522882076648182460, 10107553815973400703, 18151025160384479192, 537919321149685901, 9329277242714616601, 17504463986592715523, 2143635231868517610, 15595628324416576048, 14754562999125999356, 3704071670303772420, 5305941445309507206, 2515321793974503110, 1465847421367281860 ], { "siblings": [ "5833555181406418648910127369126789288446460326332686847178193769437018567945", "1769824045938288896073944738561139831697023676141678907111258803178554945747", "8690047622639622598109506612694612907345884244431082469837899052770544640793", "7604910904473179500188717010319314039600552653163787987441930879706688439615", "11883148072085401522250932241054044379670992268557880625203131379524060766536", "19559511979455415126578861095296313046091630773428034928200160331632904088855", "21507112555301114017481706659462359777815106087261595339314796690653981583257", "14174107719185199492324933160956857739064313179077207075687625953513073379511", "2940131041958373624346382309043999808390286689247295051244246329872295497507", "834631028802699621023742053421389503915806189854443516220495480326932971475", "12294146368675113110733467781676925421413112331766628196832698248069465068502" ] } ] ] }, "steps": [ { "evals": [ [ 17460602721203827619, 12855635496647827132 ], [ 1704770051414239181, 17527816241399796889 ], [ 4404584283415018825, 622633377124427128 ], [ 14524437976680201800, 4683918260544754755 ], [ 14237574238014770799, 2534618079773350882 ], [ 17731472202634373420, 2951587490068481459 ], [ 3922692997389428041, 14526331484041688716 ], [ 7401039207529027918, 1551213833135043713 ], [ 6405377839010071151, 8027620094276755005 ], [ 4290980271576938848, 12947318385846062871 ], [ 3172123540288094148, 14241400525948723752 ], [ 810985223903264689, 14745793808881368723 ], [ 3254976444928429652, 8649498526058570761 ], [ 13298128341874212387, 6086505505573604988 ], [ 6677541808858010034, 15302241998054321943 ], [ 17805128687333935620, 6162232795377705413 ] ], "merkle_proof": { "siblings": [ "3262223690492249088952078847791715181691698821164073901023464045465531696643", "16259855883670889474151249045334305143634248077127999336034932516415899236561", "3601812642405215671719600331857131911333087931628074368108968968900602977828", "662351845067950705279842954367794062223462835326613674952186739781397371143", "404180358253609755340930831613464772176951345144345466601067344902224631920", "5648297334926170137653976863805537318305535652253786169572435548295186941964", "16719687294339906178543642053788446377108516741072905303830529457558597490695" ] } }, { "evals": [ [ 4679148910981638574, 16366107037819712065 ], [ 18103438039516642273, 3208722018777779747 ], [ 16745759280874169079, 2406722890035999862 ], [ 15147575066165415643, 11662426707074706278 ], [ 2375741930045628882, 10312414562383996226 ], [ 7378495084054984301, 17374698968993577776 ], [ 1566817665100935642, 11081747161985730168 ], [ 16204842542830755124, 17073965292225022907 ], [ 3802837183834357049, 10766046143627087256 ], [ 4568412414990383357, 1814868539739673481 ], [ 92746100332523509, 3658263856231754894 ], [ 17012909252483925456, 5444436027225641821 ], [ 13281543844352418301, 6849860643403160342 ], [ 16556810331706006710, 10280779094108389748 ], [ 14624047383094018733, 15132862864582022220 ], [ 13584407959445412829, 16135312362754741048 ] ], "merkle_proof": { "siblings": [ "7339963858036301823186661258906510241391653091568957035041866460684433682305", "18418107021717806689559877919747759187574866923622251605960532905990507683914", "19427994540863569342412021849511567279712690993480515982184547946812106423985" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 5644086792120541099, 14463040841686975124, 1755642367302954875, 2590951019828568509, 12242261569599112038, 15025406445691899801, 15879674210668577064, 13712225172296565148, 8960936444737086706, 12378345904396303062, 17823312403722561703, 4778207945901686930, 2361447716475305604, 11481608349987359417, 11268824039869988814, 6672284276589382458, 592711480609039981, 7050955545898788950, 17145694102604794441, 8676045159542589716, 7457645922464827599, 6053484005306886529, 2093760328759307157, 308481965853937289, 8655510906652131831, 14153810068446912183, 5231756961886085797, 16131104812464328577, 8133550810771748651, 1626826360346728395, 5214057357433994922, 13024002019038255985, 9234912903311865148, 16940898543215807436, 7001250904274866494, 10258722565701108549, 13454256730945296122, 15884302519453318020, 5341085816633634621, 5422583381786301274, 7722473358767400958, 3349641603990032063, 10758723024665850310, 17746377893939276595, 13901243170029128987, 1445614916588287713, 11768530023635142634, 12052140590167175956, 14804234991878392528, 738569304069804848, 3676307843699854401, 17228106812394237288, 5044961814581801624, 979107267184296653, 6803331743274963743, 11367306632755566142, 3524394516175492269, 1488867528634420037, 1442448917179009091, 6159129910017844225, 6647211681630754774, 1454294946943371672, 8874173518665071252, 119662665516717172, 9234482033151603178, 10670082910878161637, 8013025222645450611, 16685521023119905822, 6268051569943155110, 13103498884308117614, 12636571512682322383, 18314958773665781845, 16095111489856175605, 8545387541275422812, 2993759531078213264, 10599876946234265857, 2219024790831301729, 6606450379513364469, 3009777224900664294, 17956234778964614412, 12218865619487080398, 17438923500974290801, 13827454570927805867, 16900407085692613962, 2739211401411954961 ], { "siblings": [ "16470345723860833789658018454655558037337755402965738103795930757525441408637", "4951565985397255210715608566436131135116678095470425982267891949522504394715", "4979773000306417905579146622593845847780172895059929416912340545559659267717", "9554454730444985893874052258273001087776457324166806127632321660364689664017", "3861104456682258534410824265074750276274225573007637021968554708727640248787", "13490639645670135515482473154283753456794381640188715904344936479563087532541", "14684742163973566437459712531687100312547801688576963319271855561897246866984", "16248096767632085924688952305791297105532558745580957042700544284150904332713", "11141405273307493531525785066771612531233534332069511087629420321506800721932", "3309660393991743215376536597198114385541791084713830605124190191314257774777", "17117622860267542955040535869489830614797883173175418734225391413492150307826" ] } ], [ [ 17702531922486378715, 17990339234211603506, 13199007329078842431, 8908646052890775046, 9729401141662587634, 11958367979825365165, 6684703288764442937, 2725076251907163498, 4517700655009380881, 3144496072236540867, 3708492972990198917, 8772230616614052289, 1925896947335462604, 10592616445024419014, 17857698109468984738, 2037059610862645755, 13708165564465225896, 16661419997624743947, 11471965516521688183, 1477310748748189525, 2661367791709163292, 11115976534457670413, 17024290707834841868, 4094383241974054259, 12917026728768064387, 16891696951499720066, 487891375215298504, 12849732373549233621, 16816511386004626947, 4237521161587393221, 11873542415166300325, 15523585837977140051, 2056629622278405572, 8894849604949203145, 4905324157310494994, 4016993980561973608, 17059208943545908695, 18136312758976397080, 18047093614826335214, 2462964123750534194, 10827936500480255792, 15238064675366768716, 9482305887228085009, 17988369575815366850, 13316566933737115298, 10802224707188968234, 1499701147866266308, 460831007518396269, 8107171538633301214, 13856515938221590403, 5230720717803255922, 5382654045327037983, 9873510948381836503, 1112251298570374700, 12328515451454803622, 3358371600901094902, 993223022085207521, 3390238221811217262, 14681239863041381284, 3164988575237992211, 10892958647425872884, 12487673935107259276, 5074547613883717327, 15671080644179265319, 17771872814579888169, 12134534172860306428, 12087741328784704846, 2379407401434465837, 17353648159502110415, 6059540062111858285, 9708759806507801831, 12815186832746092273, 1161325286527920613, 15094801895036631452, 7586206775575495131, 4221687759777353778, 10323042669374797396, 6618739327347620568, 9133002775334295989, 1507462423060286603, 14044387990273994199, 6633054953126866771, 13502674176356626556, 774584284069136625, 5006936517554543051, 5483302091745499859, 11188099469734872972, 13112054219458232652, 777527594228842084, 15459108777953083432, 15789565344632551138, 14880944021143566833, 8402605904083914532, 7653914990382046408, 7612824718461277539, 2484501972517353118, 7377040828083748251, 3590287294818622609, 16297267247391158700, 12019333649949507021, 8550923183977088804, 547960384646916670, 6663317143831144760, 9828771906667784199, 9927302139417063430, 2351841703635657154, 12874748828035310642, 7735663777527082598, 2223069033466260924, 17149173664697124016, 9358211328103121039, 5524339483371068747, 8674521592025949951, 12373085344980637401, 7192432959783844614, 15949011575908971863, 8327534376676187511, 12698903572140846523, 17016718528035433483, 13794924216235124165, 4737410348773768904, 449883165675957716, 18312252546590985602, 9387731001018353325, 283276718917958078, 7705480259328389007, 12430836137433458528, 16181370001708257153, 17696386744103837106, 11659810614343849196, 9260516920933697196, 9384209579693500767, 6016440515738839446, 12492951149113833945, 1000533492108124288, 11471489955331974480 ], { "siblings": [ "3225397088334297151485890496277183421516695850421247911775276109342767768471", "7457171082100640904829786860872980613255650593289471492563293801519831805644", "5582835256503133763137654782991047065112793664579088947659097333391538662016", "12879329290414619164343758827922480656313339619827351468543128192554803889682", "13753974282000995230934863638626491891184424316474357263731870557577017157291", "20566852261423532340520519965754761971131205858049540937911223678084856091721", "20742451223542487134910349059921763126133857894663224266773103067244686993806", "7448033172461043435033739840395958618937562715477015514782561845059965621201", "5531595182393928383480891624663471251325571130096960737123689623934301640687", "4288417109416485488802774778136512323357619358268479076517571892178606699334", "5460093839493553630557149582481597842993728082412267858455659582027140646491" ] } ], [ [ 5920240743287163411, 9741586389745763059, 15745173001267917733, 13876750784350343922, 11521465688158241823, 5965056723341846445, 3247188515963041490, 4639778147303005161, 18078366242970968606, 3917815467660396687, 11231051907799322764, 1644980070239123130, 18271347676957250550, 14820235362332590904, 3887208642414058426, 18018381872906722963, 13762103703966923957, 14064931082781450908, 5840701926621041685, 13909391440571079824 ], { "siblings": [ "2567657086556956034962644704209277982540368319793791626411846082185306997235", "17779808785814964760937195470044156132882409327386107047732998667412749289719", "16188819058551883541126508318967038238617475791779778282854478917341994086969", "14539027177376150494092453622791324916982920260408973337900781468313561056498", "17398540770945586830780893802088729541640190797520073835944637388726945147543", "21049154671579400125112591325920864448105464131930874568451349857356315946681", "15128273100543595513277352134614337335917025866096656709646416852649964572417", "1391506673729126662516903295168482986365675639757843414143687684190126746562", "947350892910709211841909776264436652570772676113635933224478193483497083143", "6574402339015724223501992959292246951191201654352010137871664159012496506418", "2543536643349090648290151235483954242769974965884579967850223483751896368616" ] } ], [ [ 544453037801176757, 4287612572133532352, 10183276597656252591, 13858825116219176791, 12031241108968860082, 7388900524304861924, 2152177201143112978, 4882468169496386300, 10322125121173539987, 12086840080164740291, 9888462326502328454, 13462014063859019404, 18346029450116751792, 4340660473920079133, 18142046654369476371, 11531933718976272033 ], { "siblings": [ "15241215687303977997039717631064335664910831127908273336333069485544694037257", "2858468900803099902634804418363491758015884322027434604259866990645218787874", "14157449006449377496066560644896105365354767424317622094262812417389922295517", "3597433770791204666487779964922423980170063454172354003802411960493829757309", "1077948262547276882628993806581987056363991353646597691460074799313344466469", "10849484639460170436402312385482629258140457072091159205590428390935697162699", "3055582599672197590909962888060778321465893487129783894736273000103403088772", "7036702831353483254616570115522631985195386779283959418030288193512934155753", "18264516095061182626717188496797171390876949256747581385353575088549306859379", "19244214791144851911737494018352089810863365242909060125716930296511858766823", "6064945597005804205397979220192458059376996881177698030728715719981537734104" ] } ] ] }, "steps": [ { "evals": [ [ 14514274170420521830, 2947032569647220001 ], [ 17388293326904986383, 11955074811511700887 ], [ 6134803958356442832, 9980885619037916447 ], [ 14284775863687378875, 4326469743754779485 ], [ 10517518804236944655, 16335054498469149994 ], [ 11461950282690821819, 9525813552307867615 ], [ 5297279450814759697, 2275244711082906238 ], [ 7282032643028534201, 17262543614315579175 ], [ 13484562500182120375, 1441752833922623355 ], [ 17171696896293865402, 5738690514501845240 ], [ 16373086743052482277, 9975622086770767010 ], [ 14546472997536598439, 4312899131946367115 ], [ 12779128148505847659, 4600948325810862767 ], [ 2464705819090909873, 18170325747761276124 ], [ 17461076695359636676, 6610752949719403109 ], [ 9685251476252983659, 12088024158498270718 ] ], "merkle_proof": { "siblings": [ "21782031001428285566657289633331821609981324996664038129723734505488600046435", "18359283616782282441248657810419210343653864193572069927292237352420285217861", "20777928887244367560054668466083773256670680157337980280169139839375998092670", "12919379807843403041468188003460266427699621633064987534310420788969525507746", "30317934380876789763487026900465106621871981580579055341031930010373951140", "7876377002511360812746327863815709585321339099987904802634920591138208131747", "6380538965498895792171985423545715917799237410897302348501317340958436388858" ] } }, { "evals": [ [ 6675119252644110903, 16202712636227220842 ], [ 8804721941061030214, 8345616612832869000 ], [ 3484404307348957355, 7425328494575349737 ], [ 16255793663406548549, 5834691334100790026 ], [ 13126115345251418920, 8665230398820790718 ], [ 11455259044621097520, 11671663385170548110 ], [ 14568382300774410903, 1840997523895373000 ], [ 8523575656039021193, 3481141540141211132 ], [ 4521560202754801013, 13642335324022432451 ], [ 17512684925643274913, 8965180012173837383 ], [ 6938657418846911596, 13057459596307058232 ], [ 1370358755249209919, 11207214027987701644 ], [ 10273716170903311616, 4880714497894024697 ], [ 16940582267070203820, 790699627762736848 ], [ 1275456781217292605, 2806232988239399231 ], [ 16012151879591576658, 17548816035162431271 ] ], "merkle_proof": { "siblings": [ "10430483050931463553368446974130207363393818344396495974257644495899265188085", "21599246972502403231609898039760055921857785277972314080311416234184379001684", "10614639889828254639835082945648189785495365208501503748061672495155775311673" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 2645667400789946615, 6055465662190928062, 14489737807901804874, 12357857917361866117, 7362406696127220652, 8768359591540215973, 5917130773932537849, 5139634932326454096, 9740099357144189434, 15478111690630670165, 15480484695975138652, 2996630611499796772, 15272274232577234574, 2254968698189125934, 4404114420617147081, 13279232366736015850, 15136779309429958191, 11141601587507133208, 5647259812210455711, 9543700231843811343, 7883242859376924302, 7971154079303912932, 9262892806388219107, 15964725218161784166, 6558822137231051263, 434557984591747797, 4671585066975360505, 14261729302900686177, 9357024615068610077, 14107084185983890273, 4052265839472609913, 6872668880863953678, 9868879841526534772, 11802354672448763871, 17426353260843220819, 3930671092890550381, 3628081408473718016, 15883577305421974782, 10368327235733182459, 2873724915960035303, 9567221147586898397, 18183046255694027117, 16311636215319821300, 13909655056115199857, 17614005949420992135, 17127960700742841456, 9568811023857000666, 3960583674149506272, 13920710493119843767, 14511695328980254926, 12081556428553429232, 16086121708530901700, 15106764751106360485, 6932501860855088775, 7578502493454917952, 7778399457755622702, 6380029703370690000, 6039389244978268799, 11961833727407176205, 4505156744301853181, 7391820292278115263, 4571072932589250232, 6884555483012634229, 3586286203247608472, 13272871693161557984, 4221330721538271532, 1198579925030735621, 17088814873486018867, 262614711714220501, 6383249163340581008, 10827856585243104188, 13891179983623824947, 8186826760649243036, 16733104418205459670, 14969005512353866043, 11608978317314383347, 6005051416189589685, 5548542105469431613, 9976275266804473886, 8535419888291606272, 7511526357639785124, 17823147049183889964, 6361111465091111348, 6953884287615838657, 7601934309912212139 ], { "siblings": [ "21264867480594175217644141809577722896163951624134689781734905114700919696487", "181466722558897412123752284490546703202041833342479320643084698622912892894", "12403493127264292382326263923155530794231605112785335634176160520854699338528", "15955547470578143000673132960498480301804001236730686459570503263895497241491", "12355712991987857933309401924265065482097702729304545733592539062004729075417", "1903342037282869150163011260077531128610356633172372197283767514106062752910", "8712263976908040313187951118844000763687490853354070848852964410051047650160", "5661622292722969696007573997192774802195254976300170318920917648893452640457", "8503950632534412866969832393001626077536945582934580674447132400302822073737", "8093356292265517204489109592122283211998308084283853312965358402841999327659", "13564158627969363952877686769782662396247816941816484936244605843999357114774" ] } ], [ [ 4813218746337159137, 1418045364769611865, 15453247702487124572, 10774336858421684381, 13547862827894967756, 12062403503234958171, 9125821533906592124, 12088011665178063240, 4434677371274249887, 16903748610157629907, 15161971565976379489, 375704464683448087, 17892547478167368605, 225459551566461769, 4516509264248876957, 8662261406328461386, 14478241438269613022, 10642106374598663126, 15997560870856797119, 4408309646984773160, 806677330388425456, 18266063515933575514, 10821033948669626100, 7640958962074276080, 8787928561263613725, 6716524803719192132, 9531055649919157422, 2459601044585176389, 13933623268136844135, 6491213094541640500, 17482473231891395802, 16889041267904951953, 2017270925481654967, 17070573321851028761, 4343106717067106763, 9208174646596390249, 7946851319389981679, 3841369329906381191, 3763981693870971018, 7594564021199953779, 6461359680490239543, 18024985578324026224, 8406247023328818122, 1760312546218183492, 5847607171514079687, 13086747630078253154, 9304704746656980695, 1288323607750964813, 1203819660338316403, 4830505542117153366, 13843705083674735826, 17496881417743985241, 8290494182162615198, 2344861285647620367, 16142160704259383439, 12982978488535555494, 12619183669821243964, 9608334059953090054, 16732722357583801521, 13874663325127237818, 16089330657664410228, 15217408621076292040, 14849137801827366471, 13391535976893535136, 8754228640145912852, 16571146678923600062, 3141373292405260508, 17973584174001119286, 5212238883221146068, 10827126259901063591, 13996602357369348184, 12051398689466849257, 725620672185345011, 1863122807415682734, 18418304593964357077, 18428218020675731772, 15591687822502207144, 14341504034975494818, 9083957580464231196, 2214810587131148787, 3684681070099200435, 10798914319545924348, 3814751024006816346, 1325909583232416092, 4740436735083232735, 10367166451973613550, 4698599899303711982, 6128532728577518954, 5889417556346059209, 2128348058169644578, 6367091286823437299, 318964346940020597, 14191650004924815269, 18271523726230195026, 6664047662591750792, 12644645663444114234, 1662561995606309392, 18381809258165066091, 4487001335372436128, 14545398754735686622, 7181067189446072479, 17490227223954428338, 7021868909493008922, 2063322354649805561, 12849724457756039282, 1548791831663874572, 7814454113743631216, 8104216139610966153, 14848041041180165067, 2564672532781540520, 4720874426060490295, 15448231295044146250, 10683407519756194078, 10617728802983651680, 303547225426411754, 16530754296630704095, 3704811507703038749, 12556212897750038700, 17233684866042992865, 996077230216313584, 7875547718312000555, 7030822049909134525, 5614487764563441234, 16511025618539346930, 16498330884914480734, 13880031289668933886, 14496942328075372774, 3271679277330787412, 11845718768500802785, 830772338185015928, 14052770880691582377, 431104536360903962, 6565971792468375382, 16138555697494442850, 17102113536345811939, 14409374720886532024 ], { "siblings": [ "15722313939032679170271224326188496999457096465828707026419347835207832751029", "11514570363743607324953340262811605869645220291348549133405427905270071198365", "13169992596231246472375728171342214203393754442180033111261301822704675444132", "6932490691659902988099191554504969314951556011147779751892836332064329518278", "15809541604498055672665821594558007741780400483351256697318612665326876438618", "19773632369572506355816687241924954954839188596989686250845671020327883443341", "19602812757221970158579735850683448613309434264624577675038788748047347854955", "7022991409815639518737076388238677010263071203011119473516707664318944265776", "17815057600710351290510444681122096969400160672050510669035930329725856097349", "6178330089676076579914380123043772499257478378552152543547381024277594829881", "982895856149384121523531033373711635359886691994751222878068101627440767984" ] } ], [ [ 4761946679300074781, 14144258467616112679, 4810667873036013163, 14493834240393718560, 10626468950388701793, 7989895562936615758, 9420587402117175764, 14648930056804802850, 15227367862313436746, 1714366368181099938, 12627361276928724272, 10710640523140351302, 18127935802328584031, 7267602509218879991, 9346655700803635726, 14114982881635676649, 15177171720244368783, 4843491241530810314, 3954012147423356121, 3132173466710981230 ], { "siblings": [ "11980229344660335128105086028178222086666457076871737440653956725977463800000", "12541850757930265725532956227990986470369677108823622193955819046961670606776", "4968534505984266823615904070534839342096162709174279797539219819699087492391", "21231036288972308387165720616504382446273669005321947209494553166966930509753", "1914918545277766632022486123609650877687051239619608913253170950168287825872", "3117414852162217714468643359971296600913161366207214414026984720354340455074", "15127521618084779761598086831240393118522912575938885876645643609454757448357", "19498794205998775385200747693974926579913252385359831448987524258581994217653", "8839435689292681976547651743561394632960818076556931010647852462934913965418", "11606601240901859157945486722528678338137647320309511667392316702289120059211", "6292384728970396695484775847693715175534448005115266472348354288030423662303" ] } ], [ [ 6757581017441191219, 13512120914225245748, 14153577279729104321, 2681893498500310169, 4858064926371411752, 12564668216616868211, 1817341343420740204, 15550699886351154556, 6258084473705366562, 11676441805659057644, 5363217166205582621, 11063672322567094845, 14109192656772665128, 6249248364808516635, 725139407907897465, 9686275646480572552 ], { "siblings": [ "8512960517745979481448007384366704095572675323098330981630374569855276786976", "10841651764901614917726816906995177918202583031364735917115212168024998977242", "11102407042269328599460326413429559739491919591643984192307864840577543152186", "2059632774692533310751302968609976282131129606294731213590551583250942799586", "21709809373953897643578866775311987123039876508624470829382136790098250576684", "3403956675155096632277897763144279723524153195782481695503463864533210168320", "5032336692006091797289370607087374353323687287339408536757043376111346795054", "1570257265935620918036552239555620909880636992548769379365884141932854051763", "7519692499144241769949650637557723969625962082230766782241348277938474632946", "8946636451562421835439564442065809127576756572974782411460828353636944311634", "20985572717502038717393749221049856619420604131169633088292663555531654983264" ] } ] ] }, "steps": [ { "evals": [ [ 18237114170326889990, 3724842602393881170 ], [ 7293770450274445134, 3704108005604621966 ], [ 1836057824489188920, 7457962763292138347 ], [ 12411801369649203629, 6717291734601885790 ], [ 8438952382246497999, 2924688505212693464 ], [ 13017942458277642476, 5470044180841839828 ], [ 12353691700739473650, 4264962555963166838 ], [ 14351915038926425969, 13184066123710839430 ], [ 4988490650252582339, 8805514930879962571 ], [ 10080558275264230187, 11343505784389982995 ], [ 11815120515035617589, 9725435650572516798 ], [ 6803608426206775448, 14731644651658109720 ], [ 3886828078177691521, 8097389547924997206 ], [ 10005019166137271750, 3375801844240091927 ], [ 866399164644937662, 10236475953318200633 ], [ 6577340233271654607, 7380758694470687447 ] ], "merkle_proof": { "siblings": [ "15852521261254709940816595692552939105855588119926269773488864393502611736464", "16000458261936500741931172337781383980032130420376243964257298778815667885126", "9759135320365729792695560165903163516315272642209443361588668036101221809905", "8122164609201632700265952940284649921514122144098841802389192133337313587855", "11461967860158713772902719611158202721064083818875564069196539226722376268774", "6603886962924150955806009497191441188702192574519453887355287030169272406272", "21069109064214820743551952300564726882089163989489712102350602950769997594522" ] } }, { "evals": [ [ 16102705135122437823, 15254084394049131593 ], [ 1676491624178953782, 7572986670562643578 ], [ 14422756564272031177, 1665678171390764217 ], [ 16928856986280377669, 15474121077238928503 ], [ 11286332468697430440, 4632306784645358889 ], [ 2096414823033176699, 18326184155174830281 ], [ 18341494351922998417, 6665289335563920560 ], [ 14245476244035361371, 11898563604641542318 ], [ 9664028110663323981, 13582709917631532808 ], [ 5369248406355241541, 6587553873998866873 ], [ 12707435536851904208, 11712262985942105326 ], [ 7799360295908558054, 16604690543456075808 ], [ 11989921100610796284, 3295543666327585579 ], [ 15013465780487971412, 16762684144728556400 ], [ 14473474302034478479, 5470958508715952105 ], [ 6998043125305765609, 9063647765704835197 ] ], "merkle_proof": { "siblings": [ "4649765503012191086989679838949161049135781664712421878941913642368917484614", "21268460864721107935449128676256174645551840981318586295201747589605855772754", "15173956850417864430616637765264557557751276509549930104224247649935881975956" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 14854574993863666547, 7740144813351935536, 9682981246376895171, 15763822152087242558, 10966418145378693435, 17499334435592082368, 16954834455435847748, 10545673431928369884, 9519618845727510790, 13662118542536637229, 12711527738483077293, 13589704401128739856, 14036651831623278092, 9035401062225614197, 923268208827184663, 18154170234777778259, 10827508573259155874, 17588740540555084336, 7383511040507696266, 7852856177278709913, 4566333055879142673, 12117202678136529602, 10333881547159614115, 13240677272698248921, 6318204030308799081, 18401239644155792885, 6519531054341434624, 9747103797218587368, 3449491734929197505, 16146560074730164551, 5366563339470887856, 8527460476108198528, 16996828651699676316, 6463899788236597833, 14366373381906832174, 2081609306918443791, 8962780384663379953, 12041495953980120110, 4292311758517174035, 17580475912712227251, 11377958905405190990, 2503592740107209620, 18341247760102061261, 8775946386764745983, 17954466698894368664, 2819923982058885549, 8554042981467105095, 12800273579545890864, 6986619617409095349, 15119764718652325768, 12076799080934446342, 17951358293405313184, 3230890815629314897, 9706216980236239858, 15420562270585043261, 5376163308800821812, 1537363235174088619, 3380644234912531686, 11931993769143146783, 4672023241400387927, 17872766010397191896, 10332635244247529967, 17051666768530053478, 4182892626185077635, 7773353605957190338, 1728020631905235311, 10156855353887026491, 14822603621962662916, 8493885621641436656, 14238454247284978449, 15852461389297164480, 4165992653095507001, 10350306804159959420, 4940184386531607697, 9639494041435663921, 12270727939529871497, 5615979372587454871, 594298759104207237, 4667074508240369068, 15744885070799605698, 3842339743717600268, 6875157519044522586, 6589576204459326992, 16526997168902860735, 13314669850737792504 ], { "siblings": [ "408169928006066350257606982614553521236995470430556416521770075344624711244", "16733952216585673795999792034059860508418251282675004920728683634163842240101", "8216423431019929264416437878236018909329595152572791919575701413695189010102", "3178324174677184961770923918945403872592084487190041363379945918767262825387", "11701675828742933194804505790344493289972351765584153475642367589392466906811", "21755616145275880670259321066323217367439235167005606159495694596160310820472", "10747773381913339973736775323028902367131981137272810057973328042746881946548", "10117675044676826527101603089837416511993388496403231212899900207521366543096", "4686659651564468150772360954328072210571293948529648967991828046021025176314", "7788631230075844314161470508493872835540588164042529186286485716834496068478", "19968292414652910538102654367743610022906654032496098644084830851752354156597" ] } ], [ [ 17550635408665188610, 16134393092801041457, 9555576223905244451, 5730877746285940436, 13510330191607498326, 17613919718443815282, 5422216638780248119, 5224223114654794171, 10128712550523728819, 1483093575572579681, 10681829571702933518, 5325779474112808178, 9286155572894280100, 13845865260960435715, 3298061307633181969, 17675546902496891071, 5764250609877382925, 3668503275604022003, 18350896055665696910, 2941045091073255125, 5310754425971233832, 687800548817771943, 7231260749794495152, 277143225352088524, 8519088957119739729, 3449044252610120641, 15744002882282232138, 17050773875003881104, 16422674253298764825, 12322493254941655947, 274743484372683688, 17971637382062703636, 16089210657620377964, 17222859603740519239, 15518738098490860879, 6278686213407865921, 15983634375261433250, 17162708319209358817, 1121865442114622871, 2398725707470268552, 8174835613524493183, 1363559895523757300, 7078192872792874990, 6138812886946099164, 17961143352664420303, 12666022898985308505, 14752249641346192919, 2810062722047290875, 8332271468169111966, 1156899947386641846, 14184340106167268630, 6546594208823313544, 271291232291122190, 9355595598056118539, 5517198878089702092, 8930742184640970884, 13986083164072801295, 10715983053840968835, 14973959153662661169, 1425447672613879514, 6822489368754472828, 14403163835613393720, 12320701274126820164, 5274454063136559742, 7761006972831300616, 3716568293032212289, 971173568136386653, 14264396784528495851, 12001474147405900979, 1955313048946979191, 10850582369626439550, 6457776135331938397, 2682764770211475552, 8089162739042680862, 162671493947841428, 1602973574521392757, 9898366865329385409, 13852228632383288448, 5563378694616780894, 13218301600702515056, 3265078774169298840, 4709307096215828254, 12811823787058776296, 11871018383342086795, 13249617729589132648, 13303217630255953488, 1735727423782536294, 14818858162151203342, 3424101061205513885, 2913221786226192181, 7495732369701574603, 4644356438571595340, 8556347763467532802, 7566783806584775521, 10950322924303585325, 245823632018973918, 14482382929438727100, 8791511729166189399, 14838115600451851895, 13533443301146178972, 8132017598151001663, 712377024550035727, 4947574090888244196, 18021582589266951949, 16975255413861087003, 16842740313670112487, 1227950542326376245, 9459091170353652222, 18384277534122681425, 12707641243394273631, 15024039873571949148, 7831345474793627390, 5426314814750366654, 14465895675128915736, 4229111783577587134, 8479079478968731486, 4519238273464756603, 16423155854154129331, 4046966929664950410, 13658988570450610209, 10627424688977640462, 5176959494777404754, 12911591807090587957, 4046352600673584456, 13166738864630986755, 13923492102709900102, 4422114336913198979, 9108086912120927200, 7934469340185078121, 6793966801837549759, 16743160729442448966, 14478281557096294206, 11418166662384191014, 1036060212457528573, 15090347206096306281, 11063713672185721208 ], { "siblings": [ "8099229059592472994887627932175298502298623881265314574956550337785571171823", "1187081484651952571224087539175736344833031749376328918503787312200525626562", "18025023560538871017326150478693243097375761108091835220921284069396475467618", "17616890575087019994596772138311670689429219735371388419802594049730858576639", "6886229568736334450395858377509536552223168738094078923092371151718072147361", "15350271353613829121460077511415064291382122603094920926799975105761741184734", "11520199080675602911463932510820055160948775614328453202575134547646582956372", "12070221966622302500076719809975106421126637433325570584756960004623549656081", "21058196789889373124828693595919533732173836425721779492212417579290155695268", "14956042556872618339905820530557726246889507382989323764089507329788083546613", "8486018076039232830998699873742627768218268647665919846804725874422635249629" ] } ], [ [ 8365095690548396049, 6800281156726322285, 6572794709887557932, 16028039925440345702, 12681801438298288588, 567996612964165874, 11106989977339359842, 16364629441242896246, 2389301174404955909, 3804574729769274785, 17233788783788146887, 446874585760887211, 706416259742704302, 6763341102859137626, 17912421387779845072, 13793374423691567093, 2928044248488484194, 14201367989518053157, 9470676809288308669, 15779136508069831953 ], { "siblings": [ "13274991039018643874224412817479358698417289740664001651029016207972776996484", "7857972480403234769195642117690742787646796311438078351106203466697850291206", "14437629727661024840141669233493347403844029846553097013869181797264478870760", "4032760909919382753942982465526035454332987576889170081872241593553133126111", "19265199791270108925856437825228600600651975698366551388476564311437560142469", "10358086352172697733659651649041817144320844503342618816361214544456144990778", "268079040440806712073029391114463024524457503339752268710978056535875153037", "19653820486445246324073074884996435884110368447588867300747835481665725115734", "17865358143875479378070082420106779836880967693083234737757092192964167419500", "21446093954802168187702968558346166466669726221688661735857503451142464097554", "3436172689899685694043138887372663368738186695241781575637967943458533101737" ] } ], [ [ 15315719409208640454, 13900820554944937348, 15690013661714746200, 2927773246262648381, 16325917323846144136, 11882317259740133556, 1807819816218197122, 8559441709072165798, 1964653071069771394, 12591617514019845410, 10543352586317641839, 14681321278515346614, 2388941004828961061, 3746125197757670370, 3525733458400915465, 8375550191023648401 ], { "siblings": [ "2353298764228151401941665306155747364270798252498080613971248481729320248860", "6765874086399520929457413132889779574135383189989975473315173196539170899689", "2728833435296070757699177573104617027024215902261362171370656714834280665216", "12067200405709368819472513096737158211636827945872195089324646933822851391726", "16126246378889270944166417673118915781532312155355016679066655493703823070831", "6034920252795240987676460288178775677796807122907885431067227058661202691208", "239900010018179028834798808172350424376836199523128453823157938266620531953", "21600106260372020105502269128381263214486566244843394043122538578608568788800", "14812399820841567187463333065413769669970009911612421872275136805768943487678", "5077988477438455777390837749582419474005228532624211471150828523399055868219", "20716084057292860929238817025897538307729698826648041334130463589879150426768" ] } ] ] }, "steps": [ { "evals": [ [ 4107613445962062711, 8229615458974699243 ], [ 1298220874989892687, 8150286421253696681 ], [ 9141183394789633778, 14738730544117641211 ], [ 6605521082998444609, 12044159717254161673 ], [ 2473720509999444148, 4829149954961798017 ], [ 18260787239700522254, 4142952026645156779 ], [ 8380049078277764970, 7332931110387534035 ], [ 4180417154658078303, 1047138739421689600 ], [ 430685871419474184, 17033834255941585302 ], [ 616612972160609463, 2414284335599524588 ], [ 5375905012175117755, 3194058289778510351 ], [ 7867634682780096798, 1052923937488997941 ], [ 10934073756230449755, 2906974071383327996 ], [ 11593649306606049045, 9571553798135453192 ], [ 7023537821242721351, 7982461318281878094 ], [ 6004658915683024783, 16336124337787417022 ] ], "merkle_proof": { "siblings": [ "2205174493583336034014597262620168018694318591409666300177270038100817551737", "8854455679505493105121777895479020709240186121418020038357972228311681349899", "5059178092364657408664330741760778807376554487299686077776941365805507932961", "4929818944154186850651614268191736892192190466141201197255417627966076283941", "3574198908626776319151362228037933634557397062039848931677705517001543983817", "18356116601832947888388101963901767535412514717872797533355093321515285616843", "5013559866365594129947200824377564900648069698684533269541994054665406067367" ] } }, { "evals": [ [ 18035818115026901338, 1816874945150986468 ], [ 6569821667908068577, 16087148296725110 ], [ 8992432904072943487, 5419161972265296807 ], [ 2242786794990006308, 9853289767288665977 ], [ 2233675523768406233, 4751690483357968628 ], [ 14390033885172375878, 2897620809447999553 ], [ 16886088360531080781, 6065428694414909423 ], [ 10663601105274888140, 9333141127250685347 ], [ 14030920120679900987, 16370610952033728177 ], [ 4584336016932415136, 6240147138407741731 ], [ 2924939829605937887, 7979472420056032888 ], [ 192676552627941939, 13248281000126070288 ], [ 10506517692675539246, 11945875377032071804 ], [ 10105257516389352338, 14213330448999536807 ], [ 16133679850511127931, 15682745841207193747 ], [ 1180088302689686255, 9842819711848972746 ] ], "merkle_proof": { "siblings": [ "3422182340456059749671358155583753483965184300037989129411370647105491978042", "8966814953213848866389945189697483734084950342457920998296568583481784312458", "15000246146100633450664241561048199966194856450986489854536000556745253287834" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 4816165028416894430, 356467888408721771, 14988237038580942825, 17874752972141845917, 11638744775902547857, 15300601515624248078, 6451954232350671954, 14834527910466094550, 15685474431247735302, 16258562784717513505, 3812879722647361761, 17591355675877459013, 4646592290269810682, 7852679088038404087, 3502610246449945419, 9912660573624235075, 3133634660382376522, 10413395992046584639, 4586135968509158053, 5278073575748448329, 16789235536691566639, 4099644308088606089, 11131018604257314562, 5305799743898616616, 7317849062234569816, 13041274118115608276, 16735048133894692421, 17913873114794104218, 12555381219908049615, 2527970558801276718, 6903446186742453680, 1274185773298571244, 6825355432571620830, 8036025017744681694, 4633404247507582944, 8313157752863127088, 6439750332785233309, 9696087168290177701, 1276635320858488893, 7112725860105921835, 7292503119028619393, 12898673568568425503, 7493756044745303545, 13272671840879508514, 14008087985902058001, 6773615116724949416, 9103285596203537104, 8015322545814170769, 6635760864117534304, 7070431318721935243, 2559854927342077612, 9385467767238041669, 3670251069183272810, 10016071794182718743, 12898897259169449200, 15005565558237349433, 13391312431367531754, 15401585671086565173, 16501948433372603228, 9355119362420511165, 15763857278127390066, 5912256404189896625, 9143531094228753205, 12269700447531315873, 14972043193326416370, 14846135772708447527, 1978881364555438354, 14118037362507594824, 16471604652854338330, 2351274226993190199, 572193444028368279, 2138727666372301129, 11027824933011213446, 820520028381665844, 5929932547703442610, 14180085796730916014, 16065876829311811086, 17068662302679593951, 6583358755888240638, 560768130649044385, 1303444363127495038, 3574262332145758913, 3113303825056143566, 11985113330819727784, 3879234580828456553 ], { "siblings": [ "18192021593855486008398542245842445681879797384932330479558272993217340338795", "6740747967427152726758288055211795279760066091829962312026246792994726898746", "17109892793741553627490048042192072586162915272966553050651322849263868827143", "19640347243920688971435851836388815852338005282935710134882865651990770783351", "11607302777465803539658297104242123595825580854931728987544335582242724290", "742934120678213908353143782297056379506825251246791842085285712312212183244", "20204903965382309548965050091086634278135874533126476958104478314780917939343", "8417871248290803500892740335954466242437057290838696892431427014231263694070", "331763273186832275496693459221001759651232421481289523282576089292785935376", "20256072206343027134260238225715904450748633235276593959762383090808693806646", "7533680616936613460849742299682773782265174183601315541481709044865520177608" ] } ], [ [ 1703416314425651873, 14617655042968999921, 8875438189232581857, 11815496929825658406, 2646757756216710339, 14729803749727208691, 17470566816589123892, 10790666296892794748, 10515583087345023915, 13717714887961194439, 1988074979938009934, 18089653185212986760, 3691296345707451898, 2318740414892535217, 10288837978756246778, 5951510810980150080, 12200892758869560757, 2866312280663283126, 17580515889872621933, 7016709294024561615, 10097976233438672605, 4872818781573616448, 15092362208451171413, 9323251499266638843, 10029166426249404255, 17271202744443436987, 12653728531573307589, 1488652626024001188, 52431032042609798, 1059406176185240948, 7615375302815117924, 11515484243188223262, 11599151192839006766, 12615498696426287066, 12168024332531891145, 16593472024980736544, 3080954333726282509, 3593162100733045317, 3487340189963534966, 11728786430658620416, 15128136857231554362, 324012337295972306, 17979821215976932647, 8643848591925758523, 1359871618914435588, 12788396170503175889, 1032765880005613368, 5267789105496415943, 12272821664434791601, 13296508553410109133, 4285112272834418039, 3587333351031845099, 9427616442229915476, 9725306046942274379, 11756155816055455514, 15625756549823521289, 13949348275074901594, 12002469489080484494, 4052333910365364350, 18161223777408864884, 6619473090900778012, 1927091293935574764, 13099922847848016770, 4348824087424228833, 10896447580519715365, 10859648166003553591, 3180312226540093852, 14844057851692952291, 147319157674848375, 4589624187851961797, 8496328986036873289, 4244897671763882890, 14135426184361711078, 17478414759849029830, 8992244188105559801, 6563037355437176919, 17869184211835355814, 12758227684949353349, 7467266465257243566, 6340393163998163674, 8655742876268635032, 4069717158235280919, 3588067225422386350, 1729594653394588142, 13693179004617450904, 12401134557111665267, 16357412580266598406, 1790221259041939420, 17193360886501872727, 5926819729623415245, 17768481914617109782, 7041054858021363969, 585763780779725004, 6770673748587978007, 18130132755627481454, 10220964452416415439, 14498125321051792240, 12967315105708629002, 13800645488013111214, 15248103457033293452, 494105864544484206, 6331431129606755776, 9301018188363979680, 14140414118773094764, 3543296294284199083, 5694468995060536806, 440596475378337354, 16908372536856306737, 8121130449520148251, 14249474018648426022, 781903244370251370, 10315105575983103449, 12309693891546969210, 12201007586353776462, 17727183104845158346, 3548046838110773302, 867248657186019881, 15899332033137408493, 9205785985918337418, 13418392552278032892, 8987633905815543344, 15401659297640457880, 8630822035769058720, 13264990902594293179, 15636056543177650341, 4401217880503740007, 854620811733525614, 5959390294736050040, 7168880960256380793, 11325615510042669167, 13287865911575551300, 12361964621852663826, 17552241120144867766, 4641845805155020904, 16178915340002619535, 18090888922168631198 ], { "siblings": [ "5853956782823800095985491607381393220009013162243930602099743408878764688188", "11391780291871410161131657564837634761481941638076367922679540685207844351045", "5316484720484312654839636004815418585076706675751231611103731968528683242061", "13523678284241599738906818442433483849183928304759724140041296900761933810615", "15468646358704732658371236903647065254526897165754300013425399946983109329588", "5496649985011687988180361507079799496851067192746783754519159112530035389413", "17849611636538581652760206505496617186109190558871081120233044521238833633612", "7247086345230428610424094666093363594229873030701689396430763915886676289417", "11415857294036268112155996014643145881863292975218186580698899134084058199699", "17622133479189127578105153226224849908113501382284424919627195171286269785863", "21265549142589640599714702869950398389865302082548220247178007709511753575380" ] } ], [ [ 12591320231216991055, 169117032941080395, 1998483117002015614, 1707279584457243506, 13449601740344228794, 2228997258322245552, 71983138942442473, 11063743643194379133, 15421198171557453373, 3437197921392922805, 12074184380607283480, 3020254579812651336, 18040638044910811342, 17862676580877960063, 17659264486997476161, 14794123727479915201, 831640496394913718, 2193126613517233837, 8479928814915181939, 7566757914961573623 ], { "siblings": [ "16972023798997854245793632271217887822711568301123595930703296793664615684508", "8798367585991448903499767058993340474969224430899678826033952710366650221440", "844886019714839852395919008502388070677243616043334472852117882215172439626", "17025568606755950414621764131272195790885359719647157273996337562866737319991", "2331051096439869374080013562211213607299928735546067165841387648120535148256", "17756784702911264805691879054814840932048323925207680429020199932463606221080", "2046336186245885756924045847417426642760751237806166725467921161502105855169", "10665355133415701308325508931646315370219247067876920870615626811506943764607", "4933260800491696585527731602894009774740512180124000735019699300883189151337", "6994551198053578673973805698604792708040778330673181218855707506046041934947", "8741844961425557170342163581413969817249834465160842650581967486144595272964" ] } ], [ [ 3824004058603280588, 2526056991384332717, 6000756631116760629, 2264721192120157143, 5719222200218513596, 15015660963035643789, 9229620837044217163, 2591808909750588415, 18129429790087735043, 12249159521298116243, 3782241379626353465, 11500902131043019282, 17340254895330620050, 599780236845582708, 2152816099482404381, 892068966528452538 ], { "siblings": [ "10848025629022294212089606864536298346711170417901018045130317197285078810302", "3184748910680782082039452842011233722351951812432122246158808778517456863547", "10575729745178361883682451969244091537056570217569125215258885593848443028632", "5541581372764828910428903357911564399512661846591371598785553220000419122484", "5523247487184844707640078405675339722404933152510206819321804146385858534492", "14482790412225746643743733693469170160361269526235341333817056081977408618153", "16375112557633528534170478932374700449294298936982286030619225806953007612051", "6981708582390830701652021804428163835204207823280497803819653492623452926861", "679450386239585543314034534919897135314190226505962663502894566443527060140", "6090938678406276748342393707438884773061995622015539107915142176983253737583", "5479334205460556751968697704206133565777267581900120814974816390906910256056" ] } ] ] }, "steps": [ { "evals": [ [ 18080873539874563979, 15628967373677115435 ], [ 328821107054232187, 6671328096450081421 ], [ 571798360708348540, 5772548129564379004 ], [ 3954537343118832287, 1027188330086626767 ], [ 5707141809770705754, 14925638155453672631 ], [ 7358789683837637188, 11021306174508264801 ], [ 15414582039327369727, 16089973307001042385 ], [ 4821594649853450280, 6343989314188159270 ], [ 1378978533659451223, 16146206208218868795 ], [ 12342605809897039040, 7770443924221229753 ], [ 15790658423986434879, 17031751943785723189 ], [ 4452626950221372916, 8564297028315324323 ], [ 4743278050453218233, 15657246958323899048 ], [ 11582081789105967341, 10532456256499083842 ], [ 15966559309182822235, 17498213082703685288 ], [ 794764495576430844, 9107321600071204823 ] ], "merkle_proof": { "siblings": [ "7645204275532848708710305121155030597388945370766971939579363153703382415627", "17183161610961507704347196101005315984038120407402403625041030244609446478756", "16757045644753012158298972249017149915917365803407913240140578100963625713597", "6125594333579519270580993174067541705992530909634013921441608560295817053502", "19595592099957225786731040686801449540397080466046128991972418721121909539060", "700069517785977160839323862196301601367876476602059294326421480781122972466", "19902048202149801507190301234017814666937313960835049343746160385730748216714" ] } }, { "evals": [ [ 1921438462520252404, 1677630230511933031 ], [ 12170029564076669984, 17630572720793953905 ], [ 5759377376506940613, 2442354153818991329 ], [ 15973684773685234945, 17272117475688003627 ], [ 15024128055997627851, 11362633315031123760 ], [ 16269773751189326521, 8315722437984266923 ], [ 618145928656467387, 10109045051514802313 ], [ 4601110733860090905, 7285417859080907883 ], [ 103952863658059491, 4645020919644192751 ], [ 11044058654890332939, 10028724636898481011 ], [ 8000966026466009700, 17894469579826071994 ], [ 9275133652891062831, 112349736869243829 ], [ 17172064361760053359, 17922260164240545332 ], [ 6505845415054956834, 18186168020270604498 ], [ 16911270620215425771, 711306859477365423 ], [ 12488577030786267194, 7699498113416513212 ] ], "merkle_proof": { "siblings": [ "21404862633047980198758276032731568940135073648916534750326135401446884256590", "14336762751790787861728160045411140296618628766437584828137362704051467429863", "162301122009367026402442174821096836682801528115058220616636626313720412044" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 350279929914850552, 18069224706483168375, 8369860207892319163, 6462365034342687495, 5559782747734788291, 16621772551368607936, 14821649699613375125, 5745273110687371437, 16344930045354240629, 2633007644237308724, 15853719087518916805, 11728628699392326651, 6822078110109618911, 14413913917235950571, 6672654053959870763, 16980423489703982575, 14870087337504305102, 16927857982702797840, 2571703455953718389, 878708334791743547, 6730496423980052917, 10066790387709876431, 2692371963324947111, 16334824396119702352, 10473031549538415137, 17589296200215771987, 3105251019135207049, 1808409857234865584, 9391827840992386649, 13276356885379486684, 14233473677878207215, 7822473791632340972, 18291989575230271695, 11549365243754808876, 16032810963149935194, 12535713430301066384, 4850132059981989913, 7512856267883026754, 3673766648738816030, 13268510015977522696, 4680859861775811079, 13157195033785490662, 15772009200216907165, 1360737796990624157, 9093155799923086055, 1480483261551086604, 14161987366754922278, 12632695357584568887, 8662439959777375857, 4662424362986638531, 12396800269251015622, 5284283554099852375, 9062170671606922169, 6569130387275827895, 8807087897711557284, 1427531360276501291, 12773958741984251051, 15224447929756883923, 1355744368113072405, 7172423066775174139, 3765146984304740568, 5149036638804422818, 10806543247813024852, 7134962132650851597, 17381327404337847066, 14276116458523149103, 7502209702291589298, 15015675609459398520, 13292242001564956839, 9330180537897264814, 5723331692836900606, 12510268305557627770, 9308825831593910735, 7942062234298740645, 14198961625690301298, 329695923755477010, 13597137612992946811, 12038756773482880646, 3269435649098598095, 14818907352321496726, 15932020268346439962, 7788588453849705473, 18364063137360155842, 7563143058762967154, 6920313232806377551 ], { "siblings": [ "7106114063426670895132014194388416893746028159408102119926587084880874639088", "16549333193301454413953120350655942922163789027756772149916673179488416710195", "152117037571521266799121722934689563201072709098527318378389754416978472193", "21686193025033076360498276042425047435203009415436792269050742789284741415133", "13007765908367044734828280606613014711104446942716980787816305606407407399385", "16318416529241316685582882841085321494733249539065609343655252559631112529230", "886819571170176513119697810385393247838498648115611619602708466715157776940", "20394564803225274998347369213081209209588082384102179593187792869029776594080", "2510751105320059791369881583763117327670563592614961984835745244431252537119", "10282182223476531403995968787597845005559724424701255276487948330996724801506", "19968292414652910538102654367743610022906654032496098644084830851752354156597" ] } ], [ [ 12375054546680383794, 7620230216911281191, 9282152684221452561, 13940003185695993461, 12251051066061934747, 1837674962996501239, 734494882403054270, 2760978220565204005, 10018911384452031204, 391041286527719434, 6262904450151070271, 7922762658924698012, 6356041279295122905, 1128137597700920085, 14707498050144199976, 16665251526832607183, 15546339596626437901, 3918340009176206817, 13379059792225583001, 5279597958999694729, 5648561265945714275, 8572587006780257381, 4794213879898778462, 8355697612488432376, 14370841024757882869, 4198840735917069539, 5102460863202585927, 4134267378536474615, 1989647784743441417, 11602722978221377141, 17793155835296266795, 4717774001108641580, 2510757677985815453, 12999496162434769622, 8979202298008930159, 169095880184210156, 406399829990721473, 13630293040366471108, 15060063586352850256, 17338343328685410309, 3322617271159285780, 4173938215897536025, 13885176173097499773, 198674971965159533, 662544008718384831, 6236510975302942585, 10515134982665475748, 990453865767246072, 8890675528635589205, 7065604794645844071, 9381093730340552531, 3926136478638360184, 8986287348587682518, 1907229006297093591, 7791073905744500911, 9047557698036700577, 10171812722424376918, 10114838112724920779, 2629447072252733086, 9261558114979533909, 3661657894992233001, 8847611972788477182, 5972598678139429696, 2172650363241588309, 13471867418302202983, 14661276722608094746, 319779647970676352, 8698350866647996733, 354616867425941971, 9055962618036845176, 16388456811560866573, 3344766503024689562, 11799958283017063927, 2452566865425405958, 11100099059807626856, 7058581745130372759, 10286216844568264794, 9835490151555386711, 13582073696888846733, 6969098080157518694, 329561422776871700, 12131236431669540658, 11898209506590832625, 16788448853810529575, 9304699628592572279, 14877712428909074547, 8664344357765073249, 14507796219676924781, 15142978872086839572, 4081065985841174524, 12527096107678303698, 3333210264885844453, 17501093503706698907, 14787336937949030836, 12381659941602569356, 16513369034881597352, 4781393699710268408, 16085758114989121839, 10548587789137815136, 2388695671640357553, 12397131144323699194, 10648370665486827, 10845849627458970422, 1195778519854504911, 11883229645507720512, 13286051311825155305, 7583962832545872790, 17315640286859487576, 12548521138008339434, 9377033309157435375, 9221649167606876781, 15853219204215085049, 12217862457544430500, 9763391377751764786, 16160364742129771193, 33585056545589958, 8574940394377787400, 1351991242496175274, 12862623279856566105, 16624869701730382136, 10266457641939779304, 1899841686491085004, 10315463819874526551, 3362524074595440048, 8369378685302446642, 12698225457579029282, 16221568136162170960, 1618629026284662135, 3596789367677530533, 14095376242638202307, 16847275376786684953, 13009137817149485752, 9443853905450030923, 2840498318441877748, 13158434385465227036, 17063150886731780465 ], { "siblings": [ "8143854445598386853194409844131413724905270749695958738509124114929272101101", "10483778480634477462711059598891892740950311182728941846298935963510180358200", "7076859800539670208858162251403687315950980807821350411571690063270079275095", "10017688000304183413886343320367588138806578284691681160663911364785448326227", "154171060295839149543155559007437554050236136665957329582637540304266263048", "14701992152235797334052657362600676281589531318117543727981370713211539261437", "16858626412226125424482699769182098253034809141538760568512045099846261275568", "19345717759513517144296599151228588363740441369209191450664549910645425242453", "19798963778185894147208004885390875656350089842480115902940110495700534033282", "10323710276129500662176169617337676644048299616736393486218142971676882213198", "8486018076039232830998699873742627768218268647665919846804725874422635249629" ] } ], [ [ 6668722992724712320, 2154179385070446982, 1101861490650993006, 7380388653924155419, 1112369776011614898, 9667827857695705953, 15617205700666262968, 14890064964004996715, 6345685161075971470, 12168877893039824747, 3871328657477936304, 10351531749773069380, 734372780248087732, 14519202241878504318, 5928028489700871212, 587053085914298046, 66842192708140595, 161973414029800683, 13048003755893653312, 6767557582945840279 ], { "siblings": [ "4998770297471392001683299109172771376133579257131607025830516493844138963216", "7382015813114983317550039730408732355930311963223626386131741547787989304410", "20104869677816777262995267047812652226249370319931780582148809334260134777546", "9804910409395149057906589983796205857691596864302357680227876606945475186050", "1773773007703622609603000212065905031158110995473016206661009021806386785704", "11320603752132086835680714636501261918534351670879304323707390001953335588205", "5817786075669710238256359509984463674783419071297791879039153121844227282401", "14797469739623798718461960672379525242082777692698611769258377212015883791415", "1386819946998705736209788713109945731087270600859893073965478117305901906861", "10787384204224360081355701561714461705378364744589846033453819988696455212721", "3436172689899685694043138887372663368738186695241781575637967943458533101737" ] } ], [ [ 14023019618286958305, 2319837041274559369, 7897149693497234372, 1001161278759353843, 4840373664562821211, 11419265791182930559, 11165254974062256127, 15960888880659465573, 13177829715936292714, 14345225326291664048, 836008158448779696, 15470626954793243754, 4288720893382199559, 2495463728006682729, 12559201631365789972, 12958244831335712800 ], { "siblings": [ "15280096717325334187982963607644146435597460815886740290061913578078184647801", "18686008147003301188160892304751745068227766531273335656795826997211376974394", "5470213511759122681509012858335706850241482569487236363284598407963101813324", "6256245472165372973935936843025127057293535059578941833394530638351316880404", "4103072234619994303480642633805248093562521235669144499538017258298267193277", "13135580361304628682565506313409420153464279508341928944924063497745539350720", "1426635323424017339984479904808542644716477102203459102572034680937262169652", "6386443625686811731570763420507233572259245069781833636051735232118056047164", "19052795400900526487920232228566100817136785504728779856767371876430480673297", "7950092550220769284805868122960562613855794716375094249723410408287087272761", "20716084057292860929238817025897538307729698826648041334130463589879150426768" ] } ] ] }, "steps": [ { "evals": [ [ 3977659915795713455, 15907560709711405398 ], [ 15540473971701039319, 14894661564584438833 ], [ 12860441164720736045, 12857859113727175574 ], [ 4159071735352390991, 1496945139246375882 ], [ 14976819677186967823, 1231978875351078099 ], [ 6324842384180018135, 2781617545601945331 ], [ 2274399076178414874, 7029264154781001211 ], [ 11997623566727528029, 4157488759231802654 ], [ 3612796146697132464, 506131293300011635 ], [ 7455679658384336311, 18412713478572289314 ], [ 1202750692506073347, 17374543377703478688 ], [ 8343823038010684779, 5086659981457278505 ], [ 5872074332711652392, 6666346215270768781 ], [ 11986661771469537988, 14987550106268108874 ], [ 6144059658184027908, 14832664423377233712 ], [ 15140614720676715325, 13224449855682856447 ] ], "merkle_proof": { "siblings": [ "8813911810935469778470079844387746058907698218445544861355430566841445593846", "6826695451868384189796764753061817362616860235980297381819468755366593303862", "1751392884677205221171822075848936493966342006304718699457541979788354769920", "15222735316783795442544444072774389905038121163503278825080527118868647687991", "19653610656721812080545699628438556509666102529745226687996479268150331244076", "17254259192269540853606891349777055602949260539754196636381693541085464304280", "5013559866365594129947200824377564900648069698684533269541994054665406067367" ] } }, { "evals": [ [ 9525635682104826046, 4655647378752613 ], [ 14062746060721488274, 16862898309726659243 ], [ 288546828880139210, 7692843581267358939 ], [ 16904302606881175088, 7657961325127780798 ], [ 11843409643539390233, 16572070155376681748 ], [ 5287364030200726868, 8276080328973094893 ], [ 17524836405251602226, 14307861740401304023 ], [ 7517368057965492232, 377374106560432877 ], [ 16571857756111478581, 228858908249784225 ], [ 5110415681510049903, 16638396669109134735 ], [ 15434741848541120979, 17141581638198267419 ], [ 7271047126263832212, 5757743955794213881 ], [ 347918997134954571, 9501735616973599190 ], [ 7243943985820503582, 4915340655317517188 ], [ 11372899552824100505, 348805476136196190 ], [ 4903408961878762229, 11174323026310218136 ] ], "merkle_proof": { "siblings": [ "1334486934997729341801618162518553760363611477818827438458427622042502715701", "10383586752227859273400923637069858541641727928123221428802373889991411127989", "15000246146100633450664241561048199966194856450986489854536000556745253287834" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 1204894593300271113, 2594880552282641732, 4632428206699120762, 5631493058448596608, 4093973792912057886, 12786391230971295555, 10250919878423827608, 5348128338857216404, 14762609131012658095, 4009752196381985671, 4727101141662901164, 3046525283406254239, 10216063952435027235, 17314805671011407440, 15238626891739274012, 1626265061155579519, 17617903810134480434, 8993059131268494192, 8758352308446201892, 17307768992817960925, 5809240929215195070, 12256054110523232440, 10494224605940119711, 17258439518189731725, 9702634694016682934, 9300500175123897325, 9754561884225886744, 203384919377306740, 14658169332886257895, 1191424487125482680, 18414181618624195365, 10817058654362888395, 629594364965378565, 8668657098772910103, 12348543258578309917, 12202488732109111099, 11655747423885008068, 3993044160128573747, 9366881534655250080, 15378989962976920688, 4635790945785569150, 8372339651365728787, 11033135271232080585, 13372779678989764828, 15361821195273078222, 11729333209094541032, 2236663910021541890, 14226470074031160074, 3953948417447232461, 5169056031216351337, 924023129738191402, 18159606061586262692, 12112462536459085656, 14101102077354195006, 282201795610179907, 1185353116829068901, 6156749304481674640, 10594749998758080454, 18362772133623037170, 6372069736901797587, 15774417007179753994, 17636344944256147520, 5242317417858784190, 15227071177281813610, 1172595048775763134, 6107764866357118000, 17526876947220978670, 14690972563645667164, 12248029081065135886, 16104610301936537594, 8611544400213547560, 15828781216993595567, 7094980956110242161, 8207292911056252902, 15279750527135116124, 9457361563530641801, 12619436061487767270, 4179547018829525833, 13774723899133304675, 9222890979770363253, 3828625750229464867, 10735212640002327312, 2758900762117926002, 931109550308378748, 114713342569809305 ], { "siblings": [ "1228943705496911593759915677246141928957950222493310705243844137187554527320", "842897138856967849594482889892875247426070409235679738221821117710791672756", "742755168209914543184879956946509639432515276501970054731117672891052358823", "10022925476174086042965281060322909004058918730430969125295517709230502819372", "21257695205642413112614443985510982304614124852988656002959292133864561024991", "9644863573706294842416205308414254980190272259533965811758533447556504486321", "8827685757565932692510258026034508168663681792696255418733663306594746893929", "1876509546578517014917384463097941081759186548085023184878522491979339289708", "10292463250467567249279511593632320132987050642689532453266729760199720251457", "14971857717635734941802517198338704331414071125431387157033994681846492471569", "14771686845243746239497267193296720659071896756023510477900601491779458762639" ] } ], [ [ 11185100983337448164, 13713950589310502485, 8994754456507933829, 13502305549319364243, 5567634215763982175, 13174257653903263140, 17497681607522459924, 1279761119812960268, 13442496582337878438, 9550908361523736129, 14531591032370935732, 11647111555801997207, 7020631773418469141, 15778141235702376911, 16177697836171025921, 19151324704481037, 9847113954649993292, 3508727819038053510, 9737372400803654059, 14823965606781681967, 2651369181763701740, 5204936325109115921, 12271425863336497485, 3178540582592749284, 16490693410158974793, 15722078119726037386, 17254287865524821680, 5087232399818486545, 16056327917218831789, 9343792764129359065, 10157085712393408218, 15332232993307427346, 17558139332238360527, 15375050195526472162, 14003105066851544647, 3600849174275302801, 7353072296442158556, 14652932819152689337, 690788292141691202, 15707003000411532846, 6927054134546168683, 9365831554366896834, 9631797302088255783, 17643170122395190412, 8417528657469271884, 6000258346361856036, 1445246907180885911, 4644814968444842639, 17746664478652469757, 8406400452282510559, 368512775692371188, 3348960684731709391, 10184463267658092415, 17529364649517195966, 7206839674749948001, 15563515380068714579, 13243795474834711015, 13450366254564672888, 12746151135455625097, 18144980462090048187, 442638586110679063, 16085208689765093839, 5612669971457664453, 5436804724693749567, 16096214688950513796, 8537206639637172212, 4337254359649508134, 8186976708746390190, 135001712146783577, 15558566067671385217, 2269243302130927057, 766144142266779787, 12213104512673148651, 7249753400732527312, 5673527427782081135, 10159916145643046548, 17443403553787215346, 9002159853823055617, 15335575764365838788, 3126601316283054953, 11134700981760725852, 2821968218128316238, 16653316926075324796, 5582134811281648482, 13909843740138527979, 5282968170131998918, 13700619228906836923, 11419968450951316748, 16767568547529709571, 18001874693604497674, 18384068123551564398, 15843935880561134721, 5037783963629323538, 6568821468969838617, 4747779438764617751, 10035149000903961372, 2260570021955337781, 5992084838750276909, 7632620563379703724, 8422027092374055510, 11306875052947070917, 572786547802178272, 3998187558312680092, 9595719835387412404, 17071692418988785030, 3601653003748563993, 5458149412682793310, 12456085715473528753, 8810301306195284965, 14869556930842718516, 14764090860368912119, 12573191688712567822, 17058643348803548152, 1347050457400109626, 786768314921497076, 17759860355145364398, 9812952989414916603, 10987553216582167787, 16277300255007475116, 17033299713548598905, 10504636267627872605, 7549718222676353429, 6173703701975641331, 14630100924070963225, 2647469609864251874, 15527998047065362539, 10486416310022048959, 5205029250412696084, 5193237707271458063, 9067581928747258202, 4412244717733985869, 4992199859583017068, 3831041873519587924, 8428788456115834554, 3222303241935418670, 8179799580409883616 ], { "siblings": [ "9703635718047039298894016732623302958344557546492893890846741301417685584409", "7619900894707519749562629287612590354626242856604127596456063631359884876717", "19892513669693892781326929472620951291815595065321799032687004306280559330435", "3527979175692396707362543102562995902506465063488680641652069371753877983886", "13741220494752617989538452330939433365253068339175743896375302983642130227238", "1214724133567474992647286995851042633225192180605107209351535151411063632082", "8518707332385186521208274199981284994880131462046003298008968605851412704782", "13249352344737092236086435085232264073189766373435895962117762796453213736450", "7389085117103478624857932272230190357463682450220563487871887519233520200715", "5368206972758797748209688665298484964984689213842134169648467781783193545216", "8143793086217243200271239739248065440762377199037749731468754421535011519045" ] } ], [ [ 16020710508645067123, 7007764214030896754, 18191613326976524903, 3111406889963202719, 10032115671660166458, 16260375807513605780, 10735458954472394445, 3117171721834724621, 5457086512252482644, 2670767115736447094, 14378050367230309772, 15423793088941497503, 2852130162931302474, 12561540496394075191, 4293385872110689561, 2432333895515949128, 6844364272575886393, 8828957471317466847, 16674234297374604552, 12771012909584013528 ], { "siblings": [ "19079121612941273342735092007227748899469837058348120034112996088223386917351", "1417265656725826509606690762754418131407535259376987283273982798811570311097", "19268624105310735226590140080511804679421505569447668575321972457377867860160", "9774980633731865403300788837648452784651905703781986448218319782809631122488", "4992515919644450045318505550293459892426152544220784920696626559732030624386", "21591534927910412764553102795999356510622774195150481134985994694418453545163", "21783417573076697515246917507167944483649635447565617467738732847657391721550", "21323494995861931517856834488357364790479617851032035518723053291383416018964", "9827768110668406907338154722142852814292703277574400170519528564103508109263", "21314900050664004399682063908373977773052612231425321121047405532951132562318", "17952659247517720265280639065554505980322833524902188048749193658789819639615" ] } ], [ [ 13234906568804504523, 4119254855832939659, 7888758591232501784, 10606660455889301816, 16041293387765404239, 17237422057704798548, 13193166474283242922, 17843415840505296617, 11729711814412556928, 12368954650458357300, 9211137447484591159, 7653563049915549777, 5647413538453973678, 6694337022005210115, 2386096301411300919, 4609771413904992755 ], { "siblings": [ "725402869317833274837487749086845887970750149814356872143515297001254074923", "9938905684823525255291157988951663689127142367464082887141047572756703653846", "21797901672955563390992152994400099574610010155439531401411792990163121938142", "8873094225357236340683555218172424213585343373376261981332705342815186569728", "11031875737755097484203035457970374118592448814058486451932900658489032871397", "2743395547963791301406845201096063799198696014675782472784662476755098237167", "8625085906759879751134787276751280830919843779712362739611279137706314863894", "549119778029104578524579543971754092898651862882699316504949411998102637446", "16749519100921156441064388196556034943812072115477146896224800044612476366159", "15259674597232671440247777150545132013341841354773837610728071309798956103667", "8454394672633365752266472660166657809449474100234288999011324386891263680314" ] } ] ] }, "steps": [ { "evals": [ [ 4832148630697015500, 13966410882389258769 ], [ 17060142286375317750, 6166327647535720471 ], [ 9101175970153558841, 10195537356757243999 ], [ 10034792478225335985, 10565364790902177137 ], [ 15018266463928048504, 17410461157958722987 ], [ 8697197328015545871, 8736602870513292845 ], [ 902649495963203966, 7611348483465820752 ], [ 13657833596627539532, 11987490634252318873 ], [ 13921063103591373797, 10592769958729988665 ], [ 14342972881550431183, 7516847813654224705 ], [ 15764719679725040283, 11569534185918511078 ], [ 2675157567370096077, 10431148582498888800 ], [ 12133750080853551381, 3364567008604107327 ], [ 6285504369715934024, 156216796380763888 ], [ 6627859219528897389, 10514841428247612379 ], [ 7816412887937283191, 8365689428582574285 ] ], "merkle_proof": { "siblings": [ "18114544693339257434895477369749933912711387163065882002128046563814512871014", "14958993329996416102569858442043820049790679754245328706391210379140620568826", "2671581579533522996001514966455013096296627911626643226507840121763777036327", "14946681338898588363789296324997690656383234981215588458534153346052738592455", "5507515025223438244588727765519724687253650819995250670330473878194973639471", "1068082972277857511413159827492746128664003733623386726464216813043338236084", "3418389364028519919797115977155090171418447090488448776444422723419601445526" ] } }, { "evals": [ [ 15901390298079170232, 7014015493079649149 ], [ 4156035695287774215, 7508591707308840140 ], [ 7735441082258080972, 14862511574641951860 ], [ 17287824796332762952, 12493722119142076888 ], [ 18111834306439672692, 4822232043642560158 ], [ 13971472169831452991, 16805910487465218713 ], [ 7940340980669236667, 15446796071434077869 ], [ 2700216969777175306, 3411214982701589381 ], [ 5757347081063839303, 2622648290625622849 ], [ 9626890605173837402, 4682001064726151872 ], [ 16634694331294782533, 16003794870420586394 ], [ 8760203931257117908, 103458511914984315 ], [ 5744753598932397, 13203013790334899598 ], [ 5073934158197323610, 4132264530277894701 ], [ 8429744427027134640, 16588286765785026957 ], [ 17486719519530093803, 3001370184157063509 ] ], "merkle_proof": { "siblings": [ "16097640178985716029951408618904730618707388600766357404330590429763544387111", "10554747511398786804927150936434000909339608019929263574734696895519002385287", "5566452266909128131730088878800321124935606095894521584525153355353947963799" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 13915846532776803867, 16014900833041579038, 15976681515442150999, 12763173126856348381, 16925120195530535147, 4479500011199131886, 13489448598078213398, 5525445059323034573, 17406291755726769553, 16219475872033375098, 13352861142354017998, 6218060854071326678, 2323075763152658564, 13582964956732204279, 12368834590664004783, 10149836588676130780, 4070858643598794496, 9112886813092730539, 13871923927873124154, 12555473519018200255, 18182937420908453066, 4385502412823025570, 8780893375287970341, 1122147127298791758, 16766688316994632601, 2779072393369104663, 1334280010874433449, 5492296487775377909, 4937267155452727111, 13580456693430561490, 15166622943191963726, 12167045193383449060, 2826858047156001946, 15265717722552429162, 4795664206098942004, 10916449099336218303, 15000684725575601399, 15876030448038705352, 12820497815973308671, 6167042588941234400, 1294164562615726724, 14918691794418913580, 1052982337165433693, 12621873766852561009, 9411597850745925145, 6640253959889367040, 9351356502079420426, 9686762298805180030, 5416310205842411747, 10576799744349273261, 755368242127668453, 2916137494812648158, 7847036154352464143, 961407728511310280, 6560806549254672781, 13917768710677644494, 15162903212864169000, 2016260798396534943, 9786371991376936303, 14329874960563467173, 16467037983712343625, 867441241112542238, 533406573839335440, 9644431840703126390, 15001186293163812395, 13482704800916314398, 4244344796883124449, 14956160026642401507, 11023551466428581377, 17914149055322278069, 8834234827585544108, 14280556087850982424, 9337124640075483304, 2655232166065185473, 2600271173323954051, 6538795325763263611, 12223184631724642859, 5313899983105448390, 7166143856630983338, 8704985946200923595, 5353129235177574606, 12592809843020819462, 15059244778954995470, 8898951164160070009, 2274156686390086634 ], { "siblings": [ "11120820233554065401012000833845629377164020066784874027837181790869743194993", "9803350831507481571699167210608891832837421847257690057126020653618598824729", "8054989824600587753082102976595397742124195871360489821577390619790410226660", "3094797446904003852650928190398661519890607155303853421297858320405674463063", "9963282989347091046839312389960123704576134648563632566309829495796078284264", "10212883107251644872372440611261202196206768028621986571547036233509486168348", "13592122212918755617352140487382352803725608401695436040372988518517288412605", "338070221180724649131348141567570528085409753896972285376260447987584775197", "7494421753000579719975181913528393624589943983355165823962496440392052616541", "18299198281488956265140750845527825287464943429675656822662687473403388419357", "14771686845243746239497267193296720659071896756023510477900601491779458762639" ] } ], [ [ 7683039680793439485, 6423162498006374308, 13670420320194348438, 6167475577776560782, 3024205821574547301, 17316160081310997744, 10032068765106899373, 16286730154888065493, 18215166304701364089, 4445731340703549098, 7694573846951354622, 4519499373499806147, 4234951635663143538, 15272441447317192685, 17415531834272480701, 2779760258547834630, 10045479548500441596, 3141741857159478073, 8379141150120929541, 6058207812210327011, 8541871209861628631, 8857424575369371876, 1056978084629028449, 17934947733458700061, 6491640192976919954, 17689380957392061857, 7733944505802429567, 9137098376780500311, 6660580818692131335, 15465779380548100781, 12328635008811894831, 10430465988375298685, 13179916226515256979, 307104067303810122, 12968603343983810791, 1156029975967490643, 12776594489967682851, 15924893551229272743, 2817407458242302776, 16870109457275074789, 6539137598181178777, 18189042783521102257, 10106760041712684104, 15034923237859429481, 18408725642652450162, 6103657014291085093, 13110873221155551256, 8110201256202569958, 168695238312503769, 1043602297952824797, 12013035727129592119, 5386457976888035494, 14165532446001997138, 11658610724525909525, 14369522275159634350, 10902743406771446825, 11155637141934242123, 14866625191793076281, 14267680680577533944, 17343023804988448250, 7615781616144855472, 10198171269306836173, 2187584915700731785, 396341518030763363, 10515325714100846028, 13943105909984486940, 14480098242651865819, 10531753332225290463, 15326284206108812310, 11091773794335025709, 15237258265472771568, 8771890304755547735, 10196498228589713724, 3330407515152295618, 10503532405440738286, 15863225617514416453, 14250359142753341838, 2514841159213217059, 4629547763656755980, 15677740490602366654, 2534057175896436778, 1540907505597072875, 2130191651456446315, 1485142101188995601, 4450036439991732923, 7684943674215032974, 17810081799207222840, 6250853113757286215, 2057718490004664528, 9234963186571163222, 6197261933520657834, 2035795285780966157, 1904858231425329925, 6914953722641410961, 5203518596211934562, 17372792000689646638, 2191859558752739251, 18388712653832688736, 13072218882159521839, 3682720332040112247, 12495919175658049906, 10367510093400504802, 14582806217285933431, 14038747241552089236, 12159974159644336022, 1082528718862302230, 8554705211277491977, 3375458676174562342, 17077476536275369497, 6330974921832018732, 10404594778992440045, 13233827081126533156, 8044481059744562592, 1575558428570244251, 642353619173966509, 7542758709710467590, 17550014722919780250, 10715808032550901388, 13305471610225597877, 6071751698670247811, 15068279279292524511, 911711952377954185, 18117791535333561590, 14728845151568467704, 1895200247791360917, 1419311379876754963, 1561209790244818837, 8532886470313811165, 9438303308791642923, 14938969938285511685, 8426588315962102151, 4543935552306102773, 6481734622175455463, 10408827481152489244, 247375737501048064, 10323561960654160227 ], { "siblings": [ "9795081999549037601103524734291083716367568707135277087517877629450047595221", "7067535599302583267390250674207644753150991812570851320059512433602103308897", "7366817066351178165645464295085095101125354131308775749235973662643153686088", "18033100303634519123858538174871914142693581029360085568554610540548228574065", "12436598555575513970907464151760467495244993114674104663363479981202963811300", "13520385239610215790580049862135170925247072507663655644752170136745467020833", "18306605623483422377187659375558783542121299031515751855542392426422345655653", "18479807666472923047381869486228277456682996793399063253872317817706829265132", "5998328848493967362295365229584596937840603327119468195191944723226786260151", "5230292028136373605872098688218401485466815641098598844134010149917401831856", "8143793086217243200271239739248065440762377199037749731468754421535011519045" ] } ], [ [ 92867789922640740, 13089200604433762606, 5908549937189070864, 156598485902599201, 12666675014940933585, 16823602807967443547, 3016662851883916746, 7977887126130966607, 3468758136269855188, 3673664964984216748, 1983636572019221150, 15826240309769549352, 8956431544972864130, 14739610035023653398, 2551363368542156446, 9540863071636065344, 11860331303304463032, 18312764205283101579, 9488840539898198971, 8561498922875201634 ], { "siblings": [ "21609447121580447749521876841541766040796169567734169691101110600414987337890", "8006819281879854377506183719148243379958775414001607864231206708727943691549", "11390490133319531098854444661333183451151235964960778034949581652166213713628", "680344563366955739050162700370961101587682677569539382154067952504419946018", "19304514112241195217252101631412899482760323473756102561133371032151474625970", "3836269135642465635874892286577828289886380281542553544115306613455807300403", "15855027954689099637087742576610216539631355910992268577748994185866001163529", "6930038790667704315497771592158078296384023128418210426564255193167816983554", "4249311086748404485641364706193679147414152986950291758977364885855066395957", "18810602418544926538745414915799743884232588717546045129968996405478822822029", "17952659247517720265280639065554505980322833524902188048749193658789819639615" ] } ], [ [ 17259508987924182523, 12049042702065472836, 15233438534258579448, 17858435261619444469, 11988407430172404684, 13993529607121300588, 6026129332158102972, 5133227302843308786, 7822861360533012274, 4586212180557297412, 5743157315941002102, 14240568177015618336, 11089350897872405618, 6031196734578067148, 773358370166277467, 14219270674538753566 ], { "siblings": [ "19957422088350274035987090951526069127163205834687242842960258250664731778935", "10239280299337798900679850604755329852165649124526524889041620451652689231237", "10055296506600197243129925670818933052141679084455654549202446325724857674683", "13798120210117515372172747390194549689593110848798129104124245230444762983058", "16935974721941514494469965641900685703991626812620444830592567583206664159644", "8036328075077482129300275688189760875428286292104531761395118246540886630315", "8491597156419067079176184240596029395060640098108105384858093396483938050900", "4879199268253186732772261117427461789666454409378283690767815089406996993106", "5302120076042002366678971957724308567940399985861011711819802803154068201953", "3464983656778943540979653800791956090189650518275168859954898626741057213588", "8454394672633365752266472660166657809449474100234288999011324386891263680314" ] } ] ] }, "steps": [ { "evals": [ [ 2571813741882559636, 3899720417528138584 ], [ 1844617411638046433, 2207621163233126119 ], [ 5107394022134627172, 14986754668122197297 ], [ 16611591875241798434, 14891548720536686519 ], [ 13696336885342331568, 12495629395101589851 ], [ 16340868579321504696, 931131727397318367 ], [ 15028680981329963069, 11997066758072626640 ], [ 14647599798001019198, 9138201936812621581 ], [ 69716709753583772, 16934389626728460592 ], [ 15697139141297851598, 2493757254069786083 ], [ 3623227481119459285, 16372514818824873803 ], [ 2090337541673339148, 7263552088321506785 ], [ 1973418521809071646, 12970004138159366728 ], [ 9249964561994235764, 13752434166744371945 ], [ 5078578507923229146, 6279305451980688823 ], [ 2928371187784593956, 9865905205489843382 ] ], "merkle_proof": { "siblings": [ "13952564218045274039281266296367233679384895144972652245221670490719526678697", "11600837938436261272563776787188115300998139862411347778809644862499584022338", "16699878471927514336610634292054410951203560426768429521098617309803449413177", "17231661516756881498818574086674359802124522105502491908990381964563184432062", "10341104276781814265297039504298694455389071870874552123847467562556138137160", "7754344710221171612077589902276738120022257612736985010417504968236836392092", "3418389364028519919797115977155090171418447090488448776444422723419601445526" ] } }, { "evals": [ [ 11831684640870560261, 2255930491306509484 ], [ 2819148270977525085, 6436424036468630915 ], [ 6348715558793455284, 13928884115396585143 ], [ 3685104040625555192, 9029666534526209248 ], [ 15188463843610854364, 12324938811496104826 ], [ 12212598164681647670, 16240996632506503904 ], [ 13304991280032975910, 8538341606770980003 ], [ 8442615011256336272, 13846256805874486019 ], [ 17745979725031714938, 11927796003301081704 ], [ 11775674816441132450, 1415189815199329084 ], [ 1264820383091816937, 17644518116735807803 ], [ 9707260523083258668, 17727960108233222029 ], [ 4501971220856140701, 4155934481591430901 ], [ 11518857664953655948, 9874878211658525802 ], [ 319613158580557231, 13395419989419501479 ], [ 12982534225527944569, 6196504832420612137 ] ], "merkle_proof": { "siblings": [ "14762663339419441080535663032517948396550717394448849867103426922989129067693", "15094237413564237500316572293570853195772322472938745826165116117421044534957", "5566452266909128131730088878800321124935606095894521584525153355353947963799" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 3683283514065611279, 13125225418075493449, 5306087877136965327, 2305061592985022389, 12407774099206450912, 8672880501593977369, 6030831921992180149, 18060424432650724339, 2608161764025429065, 15779290563769210399, 11886934425716817719, 7035787035674112072, 14568538261042311740, 16069707901656329223, 12798741204270752466, 9487079751298302431, 601390694614412967, 4609947103296861119, 1562082176324344085, 4877383673897733936, 7638776365759090250, 5418834612836971202, 12883216784995357625, 6589877253083976927, 1727509915707490130, 17141008038614277630, 17164936430115733462, 9938198133587777960, 6382211455845344292, 16717355855177531788, 1389841247095572208, 9488198502649953366, 7991484312372680379, 788164782160759270, 7241465309388866671, 10927538648398378410, 15768265130430274297, 459131611268579422, 11836514495095398602, 2252133868634923325, 11044366230607756357, 4969077649655470863, 9458549637404082094, 6265732884008796883, 16242950105500343800, 12958493400028784306, 14865350228150639906, 15415337350680961612, 11085185499942914176, 16102773808433592973, 9225579931836883936, 11631213886657270221, 10102207589790511754, 1628717105291659179, 10801992668273418070, 5274809529098160481, 1117960035173202371, 12282055566254321218, 16444379810964951762, 15592257998859184399, 4057204866899622629, 8757033701574073881, 15247165477373651065, 1270859584518670810, 2303090556739219656, 17630631875152154209, 3269049211401997574, 14460528365309166032, 6260827011462848452, 11121996052954366372, 16119136740163615816, 18270174856382512218, 14742588169704069531, 6431558331183583344, 3169101374463977371, 3826766075831129301, 6717859949783335213, 15398581119115186167, 7461673834346660510, 15001180793067616444, 3291910338103981908, 17886639081957958956, 3600628590736204566, 5053455872928039071, 12312432694805027615 ], { "siblings": [ "20837947745736501117984049289317804645945953113831853592171356335243266403665", "18565503454509781166472603037226426788308428747775911456601892608969797734947", "1160113173917739711204014013942826269241619797778885851281415703076074898499", "5335096419384469064450822038866348674558594475296329444245964048547936989110", "852296483874126241591077563076726992675804566009456900913332787903958459052", "15220354400406765903179487265534441738250851750918328223063218704914344136656", "9615029574229270583036279624561892292222276025983780501008140136518835916147", "17455357451713931179892419859107806155253018239558536096894583831855671075305", "1410616205686519710803748863560863709860032275992421852007324253256379585156", "5167072949218525094479762968943373144350317342570148673394724250998317310372", "7948174142344239450425090715618741116151011751994088665602666706060742213033" ] } ], [ [ 18137377470807241538, 4008925272223092842, 620289549652483973, 13636881771095170841, 17294317649272299049, 2177235849677411116, 16369677200677631003, 17330335630411544623, 14736644445375698180, 3887698030771049050, 6717636465104259332, 13005271665159415336, 17965607139356522560, 7698537790291648011, 18342040014025799161, 11746150121101134620, 15721054163968611930, 519520340407237816, 5339549279990141524, 17167032192592831974, 6724434624966117531, 16763817438367903548, 554957147565095697, 7132511217933310525, 16572100258666083694, 6890289697055860017, 15473160307509855763, 4557422448822945025, 17382020074161706991, 2059954040952510287, 496632585340828069, 6499614418342705914, 16763493228372830844, 3084537506043707292, 64916383784646778, 16779507257016213988, 12254011637935475733, 12336449724534092548, 5326170784179627225, 8241388538721790102, 8341537579824971693, 16118173518245947645, 17912867088842543178, 10381460375370757362, 7264435774078641637, 1888327052094412553, 15015151728347840857, 2976592267582382070, 11292544269522093597, 17648721106817445816, 15051666359884458980, 2868126232341199666, 9063307625627755091, 5424679954764117195, 5907697692535850955, 5285959377250523558, 4545010469735287926, 16697597537056030088, 6858451120991244869, 4943823502191415191, 15572643451628488381, 12072741250935869880, 18290942798385273243, 4353195211716984047, 13314779044378326484, 16696032601217586303, 12498660390960311047, 12104595525456024157, 1148311211490263992, 8534672222534583630, 12174845568964273325, 10489967713831042518, 2740319012914675335, 122843144693058317, 13916427529942911746, 6916436136755822094, 7092751873296232556, 10119104015434726809, 13922645256825083910, 7747536315170275062, 2337245243749325283, 14630479841388007282, 12259007002572291289, 8306208314175819956, 15733245640611838484, 7734643560659281152, 5914411223226137194, 17143325091060495441, 457189525468390248, 8052900996087352735, 3246860023002190631, 6743369342989877780, 12458775842242299916, 9749725960425456350, 6101962994342397473, 11285148142840310281, 13735046962438287302, 3303318159426419709, 8623455329294479840, 17069418918875690240, 16966686451088683849, 1262295975278340455, 7208645623544696428, 10893904564969667760, 14599742869297224834, 9448849583820323748, 17455403628715272423, 5369693466159201453, 3613059454992970692, 7748370315746551745, 3551074547032372402, 1698234188190546386, 11685030099729981827, 15114338951265115592, 16966756667245200131, 17722659568174908298, 18218563041649998282, 10756112532594223028, 10954842696983129541, 18244930533634944469, 9897287035009806116, 8992768560805530276, 15926868559192288149, 1699057440342101689, 9186823485479154954, 18387036580902586074, 3553331379297520494, 8400608028330449637, 18436156132013705308, 17646025426896984673, 10813671422894314688, 2057622547720656532, 1835546691845576109, 12451379308696283388, 5962732424869268403, 4988789571344476098 ], { "siblings": [ "8641162995175470486464296823685770874670803143829117689966718912961708797139", "3305460340140353840844836440488153192400678819657960174245228044203389289069", "9109842061616239876897749546163958122300315330983667892700989890699796158770", "11932463310095011194050582937779012567404978072412040027736105422313889489810", "13204899912795346523309990786104285746829440062259381899172017397679371914572", "15841617693940983138905326660091967478732117607660184535519498528560269676733", "19141016383374307174518490599145120509432749934700479590186912388024978508501", "739543241822595705867042833133582274590439174265055051665414151507716651071", "18677549387991724289381924964017903419236797014115201707794949616554479325488", "14889241443660550679851522881382964273103647281984409514260880466693159755448", "761268218442088463111600310811824289108947841196268282671976078527792362313" ] } ], [ [ 15467700034758778957, 11364058318496994466, 9196038510359633706, 6083525062541155525, 1403644872387184914, 17519445120908269490, 3257032039504993237, 16423531549565286471, 13196581301385775010, 2059630020310852651, 14856837706282582106, 10704961932970767372, 2867087155283103169, 16154259374502761846, 14633399667913360131, 7089499452384348828, 11858451777554027066, 5891076475791508183, 8709044409165455547, 16456836169024590826 ], { "siblings": [ "2702717570807281595153979232152314474101468935381567280317308749745012733984", "4832358971155510352304431163230194206305347502129817347772710553159947919808", "6789255293250196606997556240447855147250000786854108894497123569111047126401", "1452515863247738605360980587888352553351755101960999892501346290101169328396", "13398941884051839190538145385080114850177561136839761805016340219931776283685", "12540411194652747721662828337675939126076235563260200404152095584341774816883", "12046714803495464770396785654521977208000979374020339988985981506270709706098", "4833538259258538375351537671825826994254541930297946106681244672761584605087", "11333951991033186037720222558953090265985798958251434207337425763512809701837", "9096254495802421255037145049429360741109792850198045413458279656508136926377", "6041362092266167390435009755689974480899344914809994927268435397871216929690" ] } ], [ [ 18433478620448216710, 569219444345274513, 5186772779350317093, 11233344153962750380, 13096272530146689506, 6416270931450159643, 5228454500325566176, 15588809587965118116, 16492454626126726306, 9516056211012646619, 6899696058567116511, 17668619028182742102, 2786993827708309955, 8959335316915361874, 8605015756548099209, 864543238421812858 ], { "siblings": [ "21517372292431020294405956375200741333109671047143757711645054346784892225011", "7264312218807446503193256264107546652732188945446981247513328592035096566912", "10278580290772065324204483623683315176764792619291772130934646522675602102009", "19348088677587056367934618039419779418213490212148193247182895300445871867100", "20074338984962038902173372223326037987235735536966024633442780354297222303598", "21751618795753018522256088299913607803232714353324631433002222941667472428832", "15145349010167035039072720560809932806731232417250994978467424591518815460031", "20957692941201461617366185652560863308435684190366949695553219515860488395564", "12911102298421934709711070222520105195849888024638489259152319641613755218581", "20622459708211527322851177106662269532808755097420273687420396306634302935654", "10309410366296487044526210374248085856337160521308906667502452222287929597396" ] } ] ] }, "steps": [ { "evals": [ [ 4228772971300404061, 10285695327874764226 ], [ 14821392475540660186, 4266976599681027759 ], [ 13954781111560662299, 2579243989523810500 ], [ 4305348394658714357, 167891619527551847 ], [ 6378483886856750627, 1676200962392873091 ], [ 16185453671054034445, 1297145929309176241 ], [ 17152061411572395435, 13932829271989147930 ], [ 15739509539100704632, 10911160407859967501 ], [ 9042535633056232972, 13877420924469488208 ], [ 15696075122899627374, 15784455694572575099 ], [ 2081904831107480235, 7307144797028649546 ], [ 11684095277495766932, 3988189133157845159 ], [ 5216002793919090898, 16719017880489445708 ], [ 2256236528212880313, 7612138763665201520 ], [ 4895144712417808482, 16695557947745480649 ], [ 3849502262642992898, 17997750281697414892 ] ], "merkle_proof": { "siblings": [ "4308934648865575622379846721770179520449102347673342879753542462767960802269", "8900281314507613725635955357681340218963285157804806667816873503542736667564", "14098777365195770414739174950249676519352384401533665532337607252743536013612", "7579979835540993842650435614148469312781252065294960026737071986548768016500", "1852245178397775457505775132954857959579812006714938026735121050742976622594", "20999347400797112193225521883326646789168495319254589337207969409151274053060", "12274330536960012994687889086799633981594507059716849185375360716468518146770" ] } }, { "evals": [ [ 17658348175153789758, 486806432147572699 ], [ 16480110007986480448, 17379659302029298734 ], [ 12363491208807469038, 16415584714894529560 ], [ 4436557698904158891, 3206215642912468728 ], [ 13117255535285582656, 17496534047361098319 ], [ 9567845332734695863, 16630478777958278521 ], [ 12615872527341414197, 17424821033742683621 ], [ 1751796424153647400, 16484367450094033011 ], [ 13171061245986912179, 17357165520499109283 ], [ 3419849706357251944, 16451678987895502128 ], [ 15758111302242046290, 2203545934537646789 ], [ 16831504169934273745, 5939471101394730344 ], [ 17611555716872339138, 6221324388960380298 ], [ 12912650497353042850, 8779390910858468664 ], [ 10592201457410322046, 15776341047816676937 ], [ 16265532065163952273, 8917377824536263693 ] ], "merkle_proof": { "siblings": [ "9756748738909659906700680484547796611828921453712333060754548923875381809847", "21557322394721857962041074438590960285630239648140003644397991240011963768152", "20232234019866749471067401372421659430246226189073288803212665480550644539473" ] } } ] }, { "initial_trees_proof": { "evals_proofs": [ [ [ 5345809778032494237, 15888097755616560581, 16384545958851602815, 7509928228111218736, 10902455880529274219, 14438590762427894942, 16276364723314666363, 7435769439356659824, 8263800447786020383, 17728005567771497107, 4192945557240729876, 15850610688777035502, 13028528266593130663, 2107079330797459691, 2757662481894332730, 7694152383064364337, 7254474918119556797, 3268566713928943472, 1586684257464826187, 11236732351507334356, 17196442600458234802, 15352175175666710443, 18294394469005877703, 15786167842912863252, 8582680947567843814, 2725435930299677040, 277875073058265384, 6480619179182415565, 6529596479733754532, 5123147663336036305, 3724396918378923397, 18196083589233317608, 6493892603418411594, 7766819670657412638, 12910130570422130867, 10019884554753343853, 2574322717005278202, 1096206091748984914, 5530960879893557763, 16005233797013515598, 2772886642960197556, 14822168446332298699, 4272422412287587921, 9643420494807237338, 2997525729325880142, 11634316662000105539, 15071068101170586846, 16189910154606000301, 16589496496571985249, 16269267762193293194, 511131843649966168, 6357235653994535378, 5307720427558283301, 12314153991002551951, 238756939634444437, 12450419294399095645, 3171283170092156649, 16071409023740869973, 9619149700612083149, 5178113237901042297, 1818169773951531789, 13061659982466075616, 18430709463987846163, 17463734224032244246, 15939089205187963015, 12549452458942364201, 10310868333512134680, 903506363916262626, 8424735775554629369, 9174028413696453114, 12172391801481807526, 9553650596781110805, 147427085884743420, 11694494204653285040, 3075861037878090283, 10602397570721796756, 4744665907830561944, 4330237697877516266, 2635817517432168881, 10361920254488854786, 1123432192349677093, 9273442469220765505, 1620928988193746852, 1149938522250015795, 14288010943051550331 ], { "siblings": [ "1430817595470082560284730178214025910179509365204980056631023077513383437817", "9323711367710304268855694556909097177621958799628989004872974264119974036241", "20896160834400024376905921842689459137549371522609391024726325788010781564083", "7088822735943934102101255591888242887391995077407688669065466643747030234440", "19536574759906828992573369311831415182367375961784597510590231914527330394159", "19164837369697909855548361936837704487781237032832079041069723770143996289219", "17285617671077891594042148724432920852167444159506331795710543661456167484328", "14740954073843043728495864960572668336911428203033665183802621106685023678425", "16078233635819866486126907555712395498508332155675190127682245014559774647400", "5294254161517014846613418051091086371706341133485454265367945962303665609428", "11410393981632100027118793958683349566976938326440930223595603318513574619773" ] } ], [ [ 16950932948244717419, 16162802047669904584, 8732653218011027281, 10518707641161072690, 7027185579662431649, 17969618445735923402, 6297992202830265887, 15539851018656455153, 7489764369342917321, 17140837148753826199, 6064485323157420633, 1556498027668232146, 11962304533863665565, 7675218849386243442, 9498753019596523717, 12564278589514917798, 12896559299121199510, 7790375735828368443, 5562728189894287657, 6957105263074808131, 8427544691976658540, 851619878005837939, 15043924364201400810, 552382580959965096, 3532159617132793331, 13761378176227835856, 17623128058216965950, 9601436431668711322, 759511877698258876, 7847976029918771055, 16968546049860741378, 5457876926919555798, 5431725583630805525, 827655584380171570, 13587789025936889657, 15288538083800784483, 4205602066966396061, 10843917153848585293, 732800361512769252, 7133641965046202041, 4132831390873522921, 11412048356325651598, 2919441276772380414, 12106845969664662002, 10657844305339155201, 18034906901667856548, 10145699129524604672, 2010586682809691137, 7682170466778372150, 10114603985319922345, 13548551820947959410, 4384025892732926026, 12547253621658991344, 3237235086487722664, 18433655139080622640, 3447213115469955514, 15764696962268848166, 15398820119272696039, 863980338698134097, 1338269287099424786, 4169816618747734618, 11801514458471107034, 396768586098356656, 7328702252949775679, 5147480986553879436, 1674783788952234611, 14188841390816287664, 1152124520677676845, 6399604395913312596, 9963341390585129314, 12991142472982496055, 2110930310129226982, 9964828037486896362, 14502268547334740364, 7407699850170024051, 16881856104004040564, 10275660133388826553, 3662271002721786667, 43454405836032912, 10445604298021481923, 18030715968417212789, 7538939848953714328, 11053634068359966636, 13558887194698985221, 3850817017559900667, 15491976382390786309, 2418692377096887563, 4306897000875715236, 7186885940663091002, 5427465359292614945, 9376987237247154020, 3860390253609455992, 5377733284757643114, 13026108643702321615, 3900150558539715473, 15349119742550843320, 6920903281529900627, 13294308708800840842, 6112219301552237814, 7280226831068854941, 1826031252901669944, 4088648585229797037, 9405994420679082241, 4459237181985877305, 13701992176136908317, 3115406846229019078, 16843997868002763576, 1523118790230859518, 7707258739625800699, 16149135530730999552, 18347730566992392035, 3228351331599410191, 9300228100301949840, 18053743596981480515, 9506505619024748463, 5184891156992461470, 11577719561292278090, 7385612860047920177, 6389630492478327035, 2740765287665149265, 12710190644642573758, 9726237194583337932, 11992255006318300492, 3852519490970527440, 11231682857911650867, 51376283684969902, 6033328223120751263, 15489460192227346270, 10933070304260181161, 16227623918802556087, 4423768917026387732, 11382292409810008685, 4445288107421313992, 5753978682624991739, 14483396580354530218, 18154899750918594477 ], { "siblings": [ "21520106534301623009352134387443036707492626462700529956397716731090364374814", "9777218802629715607701461068712455509469497511814017429740061273172390594175", "132648458829655748965506644968699851880782467937200881156928142201307775058", "14010758568233131589334138855941169963335096675539299141584828546945651044579", "9810424503349399980549969350247607491954987676151920165152066104406070612934", "18946250258785082127256011493012217434273955489093318976804525158856097410461", "11509034320907817925184098436275724514880425574493011323393649083691804619295", "14996789667429230992701564943060158032670292811199662328227091088295305520359", "3368039873040085619283350709164206462998914702375354868690430223371259863925", "20208525652104599758729937467930316786033424308151439261180138101498329652020", "17340572103671366872231609479839736501142895062021429370829295567806406766044" ] } ], [ [ 10310468168393523401, 1891169202786556492, 11453675658283318051, 12359113161733733927, 14440024096915283512, 10928694791122493963, 12252505773139530208, 4581961241319459033, 14401631534539613583, 1068199837384930961, 8307920879335981567, 11180471246338139968, 12476201258743343447, 9505443152520365834, 12291545101192930246, 2845873629169014060, 13481495047942960534, 5480567090505853301, 6506419099839521379, 4902568428118367182 ], { "siblings": [ "598338269238145092315136275415557586287611030360301044564232515020697530024", "14259201874757619703468791430009126602654128541751611573561253691107863540838", "13575003582363538693822325153491063168338764802278194986741005751861565698759", "3040633451884686944901171834206007485101762169058966765877559732297911013787", "4992990561477073965257463451022084030011887234748767434947400338055946594319", "3923844964210301830128044853607493149821172131438173875287762337460575402581", "1558997068239144604112736002435684522311647787526699920064752069694516758266", "11195833677766957440797315791481344744320451579162310895742008372375700077309", "14423225267960749045206892975246720704402939383779907130543965168914810281029", "12175085613833365251576247459034122907236208323244146280987347423237916488024", "1568666773699315356319810702082014469408311609793967537833047221884802211374" ] } ], [ [ 16411551503574479421, 4718591501771120803, 4710208313771364117, 14180522701810537582, 7534897140047505543, 17355589286335730665, 4455769938061819681, 2338546261871442550, 8409794585334342661, 13631133925868902590, 4398409375864855976, 4591857647242558613, 12412898498458354777, 16401998374560498944, 16434454784844029320, 6264933356328596661 ], { "siblings": [ "21409108809812072048867270299331895526419397567167242572849709422880745745407", "14613267326850321668129240537963325417501957197698454825512033206837785173545", "18611417650141841847284195976664514424158071095905410398663710912050077394915", "9205794045586336391410161957694214829037151434515190191500284059112869237371", "12955811880628649844079379256043472580973686111125245719998598530372941443791", "18173638989388717579361639471874298717028560320196471881605507410821215022857", "21805641784859888022477150970443659570348759089861612267267691382077573218088", "18664167371291529697934964225392094397431975355892190089913005261971547992642", "13579930101375588716625392191755452139618360895230232506541721417654837812180", "16506482352955166126707057764010201177789103623742064648534353106549921656145", "6823049955696911371205028471279451238439945858917402969382635471206246075658" ] } ] ] }, "steps": [ { "evals": [ [ 11121252584024629199, 4937332490097910751 ], [ 9394398660240420469, 5499042309086294341 ], [ 4589968705139947376, 4160051970973094408 ], [ 11902351894392612475, 10551183855252178874 ], [ 3136003270462273751, 2163114625569498038 ], [ 15314823442703636959, 12895246252917464856 ], [ 9570714282638487761, 6946987560033618417 ], [ 7414272312703362281, 3201801427579292193 ], [ 5766595179729532918, 3185247505780896312 ], [ 14608945882859283252, 1842340532335957170 ], [ 8818693000009299493, 9422493109235640794 ], [ 13115511538235953415, 16557794487420096097 ], [ 14585289812987893681, 1574392584158898824 ], [ 6231880969627919866, 17230471169427551613 ], [ 325751397304681526, 10996398276483856819 ], [ 2088631547630655616, 15184428491273117044 ] ], "merkle_proof": { "siblings": [ "16941699144728664523768869239973341818526528452831344040650342420517014136327", "1715619681041749114013211956495972788132772670538782919969436731113884430330", "2051587618628292776786843055595366041443207967319405554359759605278602373214", "20102131887077054052914887362442623473549796517440764630226572692346048398278", "8123296818474060735940645976039232656888905643206681925180536621259924159357", "13601781740152299468364681307287808876659936320466621563262257488830055978033", "15910347887757335668719925594991933766312818244526317248862611146594682751550" ] } }, { "evals": [ [ 15481356491284453752, 5305955013754352523 ], [ 8137368225335860091, 6992923131885711845 ], [ 16435555721256493839, 14326104358744576766 ], [ 6457112547799630731, 333795493699089373 ], [ 7354925259272989872, 16302261685297594407 ], [ 277149033285820604, 18282234333886922514 ], [ 4171374784596050642, 9914989925285365771 ], [ 4410197108779282831, 13761441794053146244 ], [ 9856443717609344751, 15427557082732894267 ], [ 9790858131067882814, 13822613823122879364 ], [ 11792918850761776343, 11086133997082263460 ], [ 11328884603137410670, 692467365468613562 ], [ 9658571719325810504, 56751524031825813 ], [ 8760985373275893258, 2044504579571225608 ], [ 2520208101410092039, 5490967978404167770 ], [ 10996342553706154843, 4613260746680268413 ] ], "merkle_proof": { "siblings": [ "5279080111677935859001486868911751341510665565932223409984393404576778665050", "6296737009884966623374666270002935407124346922982851111915804820470844413143", "6249052697372240547437650557171329828755940454127697002572755862499362642992" ] } } ] } ], "final_poly": { "coeffs": [ [ 3151528273208120390, 11742632339229948320 ], [ 5748746319805362035, 4815363993133330400 ], [ 10045074137680945873, 168928874017225147 ], [ 1147661000911041120, 12365793834164899217 ], [ 3598269726592706561, 16506688094262343286 ], [ 6214518553957304234, 336879867080654652 ], [ 14602982252206135551, 1080293438960158280 ], [ 8257614467357439493, 1100225872251407736 ], [ 3963149678415258891, 5542671255950955323 ], [ 14515903700924918657, 14508468602942937146 ], [ 2199364670722796779, 17432194123876526844 ], [ 464121626884046034, 15441182099365776416 ], [ 7260340707320217890, 15672877186609175475 ], [ 13880708907910187601, 14551353101190441114 ], [ 13194439213262592715, 10111126739795877110 ], [ 11622784498665063269, 13473541078821244251 ] ] }, "pow_witness": 10376293539045708487 } }, "public_inputs": [] }