{"proof_config":{"fri_lde_factor":1024,"merkle_tree_cap_size":16,"fri_folding_schedule":null,"security_level":80,"pow_bits":0},"public_inputs":[13974980102826883,11892562761274719,8034566689403313,26685968174336601],"witness_oracle_cap":[[8338999643608085784,1907545090325853856,2241897057222306356,249830787764867719],[5457547261918132142,11174363408169222503,2059892493577074232,5560412170011791745],[17211516443255973975,14151304047655861060,6940745333388237212,17806009255264058100],[15235073865239686642,12483824272566492248,17885590762657308679,162010783748055280],[8201052637321280940,6360612617345569467,2898277796340108667,14701987661925886548],[3678575597794593529,11886432448511492356,1752626532133761923,7266316229749637138],[156723514816476373,4688666366822965494,5696621147306690877,18009631329964854975],[2792441719176585947,13873297042647271779,14362991383301230465,12984241341718904806],[7815751255170990068,9066274312011616673,16166107961597747116,5249941398897407581],[10691950932553215264,6403198480300312134,9638746959102223350,3997830943888638437],[13053369490080414815,16735284594623398882,16837053614034734954,14094733375757256591],[17077359201452821132,12591583880002769142,14126382793470953336,12342904267273027471],[953825727226902459,11088784835113584888,18060399546895862517,14306175288249412294],[16658460182707629986,16829440871176321700,16007173138131460820,9994652592461261514],[14831488585459873089,10981061719762913381,4453599186583078212,1978693736747242053],[3024803743365573056,6818218867649177160,17625745429999934815,6267915970973243027]],"stage_2_oracle_cap":[[4540895160355292278,5428547050765504094,11119972336956916354,17131866991841719259],[753966941073755055,3777013871427984953,9405165111580024881,8259127517328367899],[15560161145147702224,12999623465834602851,1526768965477770169,9050258969765858502],[3184811754800664177,8138733716273506319,17722476213227606981,12281096459186242420],[9107625205078649951,14203250567715362850,4744266021719909031,2182662293420354036],[2221768012589146543,8100701196516357451,6749609731899952187,5733702980049009892],[15222765631255584663,6362865812931635306,16993505885795029629,10714997975656620898],[10805304061704351467,10939917667929475463,2005944059736327683,10434087100661966815],[590170072807865329,417717678438043962,11710396967280519183,3291205706841783518],[3251283168958620590,2798129236393026844,13599271009078769778,5582665284353194468],[15969729395842307966,16468992747245401174,17032638999494251098,12002180527990218774],[6087995805855805849,15076626036994748506,12843370991836024314,15404207956299116132],[17090596544537030931,13108849001846919929,13384823681955006778,17966716283091025553],[9441875901825786897,8621412458614536682,3801961820818016433,8533245589210958608],[1133854289857836686,8513265197995699620,1260399871650564550,3098116803309281800],[6599804898278695184,12955330301846283668,10315310826107879892,14976461447178330152]],"quotient_oracle_cap":[[17162942080021492661,5295003225623721450,17136563466527748270,16378739682837464376],[1334963257583635572,2308676898391252481,15599425292455579858,15179747502979028796],[2003887981375094317,5264317991563373222,3562432658340829338,1170646356962855616],[15397987178059699640,17559944613394396128,17024024103524790593,17185754709815437387],[13913045078880087217,13324287844899016445,5435475515559161336,16180363464533317051],[3495372148221820394,16777642765247737109,7865547954672026118,2280564137267064729],[16099486721498621382,2083088034949504929,2598077170902044764,11763581060737747847],[1766242091578075787,11888537493862590025,15454858821104379121,8197886248005643034],[2680485378762607193,9504295288887615722,2952150899240895895,1977337039840289321],[7472714417835556291,4456608490436418687,13847323251076971099,3382008454757861737],[12080422284077900373,15007830878497723872,13408697575712162511,201486788810808050],[18183346141392226000,17910819052348005444,4959800033052449324,1642644327244655946],[3260586738610448082,541459066995947883,13067408097265435782,1414214140635387994],[17639735159219682314,1748679800531632251,8907286408681566359,5615511848376605008],[9913767936961537638,8544061736577940609,11156465377754696414,16772686476683377872],[13770272808045357097,8768618236099022001,4344985841190168346,4255000917316616499]],"final_fri_monomials":[[556164985729527820],[10968177994416691924]],"values_at_z":[{"coeffs":[13010162579435688832,15761626602106819877],"_marker":null},{"coeffs":[6825244642653634783,15536703841637150019],"_marker":null},{"coeffs":[9464066610314804932,14635241433668236027],"_marker":null},{"coeffs":[2506907420673634067,6827805448685898626],"_marker":null},{"coeffs":[11312952607194683562,7623979178922716489],"_marker":null},{"coeffs":[7586986682780507571,7951745316545984854],"_marker":null},{"coeffs":[5245012293717028530,10764539936511430309],"_marker":null},{"coeffs":[16789443390864486118,4213564545093183438],"_marker":null},{"coeffs":[10954184323879228501,11437176769167114756],"_marker":null},{"coeffs":[12886774962592519205,16049565510825586968],"_marker":null},{"coeffs":[10474438591345549201,8708133483746602982],"_marker":null},{"coeffs":[8352935014443957240,16782133310581255910],"_marker":null},{"coeffs":[12051410376141976899,2125799886656594359],"_marker":null},{"coeffs":[5734290059241455204,346242620666789806],"_marker":null},{"coeffs":[2202918320764103095,18337588699144277062],"_marker":null},{"coeffs":[3445521409128801429,11750778679270974952],"_marker":null},{"coeffs":[690872353060558813,12166971839911569698],"_marker":null},{"coeffs":[14208707426550135218,8422590870919079457],"_marker":null},{"coeffs":[17105760544629285959,15398471382169905145],"_marker":null},{"coeffs":[1573996154639024170,8823194617270797522],"_marker":null},{"coeffs":[5995303767227057603,11179607130804287039],"_marker":null},{"coeffs":[18318209773909179220,11004297062499110110],"_marker":null},{"coeffs":[9806749921771322034,7961738837387799055],"_marker":null},{"coeffs":[12183714597729366845,14968933474957330940],"_marker":null},{"coeffs":[8884438725252354828,201267940855195081],"_marker":null},{"coeffs":[15925895200991143163,3619480101457208539],"_marker":null},{"coeffs":[1627641376942234025,9964888588227568960],"_marker":null},{"coeffs":[12231536852827427594,2839855106806536499],"_marker":null},{"coeffs":[1873366447309230287,17899161641023247586],"_marker":null},{"coeffs":[3068964707109572674,14088406299862405874],"_marker":null},{"coeffs":[413750640586067003,9346367214553412824],"_marker":null},{"coeffs":[18338416601415188206,5692122784466753729],"_marker":null},{"coeffs":[13158652225360079180,17456747838476328806],"_marker":null},{"coeffs":[10957072033725146449,307694587948694468],"_marker":null},{"coeffs":[15647219178020500429,16615946679350401623],"_marker":null},{"coeffs":[14583203474102840588,17496835329386717920],"_marker":null},{"coeffs":[4494332989047274583,8610497542777668380],"_marker":null},{"coeffs":[3858228903931940266,2586165432961266558],"_marker":null},{"coeffs":[14392890855513659306,10923250756024564351],"_marker":null},{"coeffs":[422057687486968668,7665110912942244188],"_marker":null},{"coeffs":[7724237219413884564,9876869206271180452],"_marker":null},{"coeffs":[11220368958390464829,18210233818145102836],"_marker":null},{"coeffs":[8805498483853393746,16544980721777305407],"_marker":null},{"coeffs":[15120232084874230534,17519851563190390727],"_marker":null},{"coeffs":[17948212712118384833,16714967588237400498],"_marker":null},{"coeffs":[12345635306133466583,1690893889142773086],"_marker":null},{"coeffs":[12186202366064064933,16760756788116683504],"_marker":null},{"coeffs":[4288838768927726685,10445285945950414855],"_marker":null},{"coeffs":[17435004987392234274,17145427585722982176],"_marker":null},{"coeffs":[1092411112786617529,18345727599656075188],"_marker":null},{"coeffs":[13683274501078083432,10286414246161027745],"_marker":null},{"coeffs":[1273427059560813377,12192869088551612503],"_marker":null},{"coeffs":[4476642316392942148,14443339864853553862],"_marker":null},{"coeffs":[16866592488636521667,8632005212091130911],"_marker":null},{"coeffs":[17747946853141550144,1140478047681255125],"_marker":null},{"coeffs":[5897583353648500456,6022391004570402242],"_marker":null},{"coeffs":[11134277078028509492,17028461221808010564],"_marker":null},{"coeffs":[8622596847660271010,17539493463814496462],"_marker":null},{"coeffs":[18437438839575510921,6463102620265978757],"_marker":null},{"coeffs":[11652487167957285519,13990099764884485586],"_marker":null},{"coeffs":[13754465833468776924,1825409692590922825],"_marker":null},{"coeffs":[10258363758047615577,232076927863274837],"_marker":null},{"coeffs":[16662032922358572663,10802226881944811459],"_marker":null},{"coeffs":[15724749450518149445,1262426358346544537],"_marker":null},{"coeffs":[16584844937162350983,17981518157843773230],"_marker":null},{"coeffs":[935737245049093070,6780457373123270903],"_marker":null},{"coeffs":[7382701050160824356,12764706491139999993],"_marker":null},{"coeffs":[10514518698873339949,10250798542820468744],"_marker":null},{"coeffs":[12175007713485414477,15154366339139506443],"_marker":null},{"coeffs":[15843987143145515852,13289055315744215929],"_marker":null},{"coeffs":[6054983783452102116,9970212880073920123],"_marker":null},{"coeffs":[12589875462022385692,7958559126646882542],"_marker":null},{"coeffs":[4889279553871269674,3151583124688820541],"_marker":null},{"coeffs":[13544499168253198061,18073146469437686040],"_marker":null},{"coeffs":[4204517184614697589,10705813953827314487],"_marker":null},{"coeffs":[2841464585121871955,847192686449370275],"_marker":null},{"coeffs":[12981293159936168714,8498872885463101856],"_marker":null},{"coeffs":[5034432426256522611,10048769488650317650],"_marker":null},{"coeffs":[15193134068981516056,16065883423282146614],"_marker":null},{"coeffs":[7141245005769383663,14987440890249655442],"_marker":null},{"coeffs":[3905435782745790866,11187529328089237579],"_marker":null},{"coeffs":[10041209148854152884,12878638611339312671],"_marker":null},{"coeffs":[12504489652416892457,6551662505868314518],"_marker":null},{"coeffs":[12623543013360794586,11425678248279341653],"_marker":null},{"coeffs":[15059141080514292086,1764796582403279257],"_marker":null},{"coeffs":[10969483249003587509,10638319095430809938],"_marker":null},{"coeffs":[1628098887236955899,13248664001786916929],"_marker":null},{"coeffs":[6436415958952263708,7653026052386845290],"_marker":null},{"coeffs":[17504204217968421328,13565075607547659730],"_marker":null},{"coeffs":[7494105725321859684,4804958276775076227],"_marker":null},{"coeffs":[9643145368590254216,14678428539795727064],"_marker":null},{"coeffs":[2379302441313357778,11306096215901317103],"_marker":null},{"coeffs":[3995847677157628493,1983085704953891034],"_marker":null},{"coeffs":[12673975617921170718,3656541619509435081],"_marker":null},{"coeffs":[17639597848854531767,11434775764921751496],"_marker":null},{"coeffs":[15553576274998448355,3344832973910426999],"_marker":null},{"coeffs":[15982877267174214136,5170291715602252883],"_marker":null},{"coeffs":[1920102485396307581,16871073059380759046],"_marker":null},{"coeffs":[6105220704120767358,13971525681017703162],"_marker":null},{"coeffs":[1817977144961129324,3382176081023452689],"_marker":null},{"coeffs":[14174778395591374644,17052190522296053593],"_marker":null},{"coeffs":[3955345847392181621,16084058032978606001],"_marker":null},{"coeffs":[3822374550277711255,17952111845936366222],"_marker":null},{"coeffs":[16843278208647461855,1049123670371373496],"_marker":null},{"coeffs":[3753526299883297660,7870587109924324079],"_marker":null},{"coeffs":[14549783749101063434,14998612563749748925],"_marker":null},{"coeffs":[12465947298302122474,8739908739269923825],"_marker":null},{"coeffs":[8470876015015270781,7049813014563063723],"_marker":null},{"coeffs":[3022666814050630752,18266654147417635020],"_marker":null},{"coeffs":[8119152785837680065,3014652143544106423],"_marker":null},{"coeffs":[4919914859357366760,531696290549092024],"_marker":null},{"coeffs":[14526296303184874513,13198251484061430001],"_marker":null},{"coeffs":[18128212225777828287,14231327391126331183],"_marker":null},{"coeffs":[18041319922849281107,8533690511279448877],"_marker":null},{"coeffs":[11031538224726064286,12778141979830454305],"_marker":null},{"coeffs":[1211878315369152344,5928904356519423234],"_marker":null},{"coeffs":[11171012618616269881,9466290208872420090],"_marker":null},{"coeffs":[155541309325246380,17112572013282391297],"_marker":null},{"coeffs":[1428441964886935809,8173121021105457796],"_marker":null},{"coeffs":[6964197368313963177,9773037509639308731],"_marker":null},{"coeffs":[2726661360088085206,15177730070045055544],"_marker":null},{"coeffs":[15450713139271602185,5531307286985064809],"_marker":null},{"coeffs":[5816905827672350158,986880083350723949],"_marker":null},{"coeffs":[1342516526082806790,603046179777132567],"_marker":null},{"coeffs":[6000880103102618236,8799287202204114670],"_marker":null},{"coeffs":[18042417781608773130,8987160915346121406],"_marker":null},{"coeffs":[3248383402602819525,13540889180657128057],"_marker":null},{"coeffs":[706281831608519227,6104600754477953600],"_marker":null},{"coeffs":[7321131428730597336,2846553308310057544],"_marker":null},{"coeffs":[1441087080553388237,586645001003540007],"_marker":null},{"coeffs":[15850448390780393420,9530172962213285050],"_marker":null},{"coeffs":[16562199849209422169,9008753479697709571],"_marker":null},{"coeffs":[15885286005212031329,7794305989408283907],"_marker":null},{"coeffs":[15523265760450012938,13906010400882659186],"_marker":null},{"coeffs":[13831493367580091692,7645418326652662900],"_marker":null},{"coeffs":[14255475618809835620,13901056745007901678],"_marker":null},{"coeffs":[5779116313985959082,2370564426421513552],"_marker":null},{"coeffs":[3052213859173029746,3677909550151021863],"_marker":null},{"coeffs":[15453329489909684430,900458203714272992],"_marker":null},{"coeffs":[1608791287548319440,10945893603839719779],"_marker":null},{"coeffs":[16778029862669943903,17440227864730279166],"_marker":null},{"coeffs":[16157818238639975986,15828792439656714200],"_marker":null},{"coeffs":[18243803053724525225,6268591529282849456],"_marker":null},{"coeffs":[2131532314702130215,2356626438137897899],"_marker":null},{"coeffs":[1812817845901106910,17012591944172187070],"_marker":null},{"coeffs":[14672533175278955703,12027467241915043375],"_marker":null},{"coeffs":[9377800293842774597,3800444286191540388],"_marker":null},{"coeffs":[866879451582174238,8946220530444320062],"_marker":null},{"coeffs":[6273287480706792256,6689418396581467866],"_marker":null},{"coeffs":[16701719657219624992,67943325258384783],"_marker":null},{"coeffs":[10663886746779386365,12716785429831429077],"_marker":null},{"coeffs":[1788068900472001377,16522667642993542265],"_marker":null},{"coeffs":[14807132712429908522,5782419737746103017],"_marker":null},{"coeffs":[3867025649009594127,11356093232610325272],"_marker":null},{"coeffs":[4799446926869969175,1642030015864585910],"_marker":null},{"coeffs":[3362114707666087506,1083465822840459400],"_marker":null},{"coeffs":[3657824305511311011,2558168789326669563],"_marker":null},{"coeffs":[14092500616220566650,12521469884898927643],"_marker":null},{"coeffs":[13163339569465615209,16136196402411669627],"_marker":null},{"coeffs":[3841751352950573923,7446776122538480383],"_marker":null},{"coeffs":[11336622323185157611,11459214820428904375],"_marker":null},{"coeffs":[7900056021230246378,2528003753104966950],"_marker":null},{"coeffs":[18062620007584816273,4751347421527654880],"_marker":null},{"coeffs":[6744586262530770949,3785004042243129290],"_marker":null},{"coeffs":[11642633302499948756,16942049017209674042],"_marker":null},{"coeffs":[12045110760974040114,10361255319756691568],"_marker":null},{"coeffs":[3004174967438232571,9451281792021528184],"_marker":null},{"coeffs":[6509348040155214291,6882101961593146981],"_marker":null},{"coeffs":[16216724596912467853,2211233065757690923],"_marker":null},{"coeffs":[1753060284817976890,14416030461507702299],"_marker":null},{"coeffs":[6463247707011837971,7979520072770809328],"_marker":null},{"coeffs":[17956706992307262753,10449568156798480434],"_marker":null},{"coeffs":[2570580725632859621,18261537644474394794],"_marker":null},{"coeffs":[8652026969069175843,3169081556788397894],"_marker":null},{"coeffs":[8447024829549543440,4793577803220384794],"_marker":null},{"coeffs":[1200291113298177345,17927179650292740955],"_marker":null},{"coeffs":[15948826738526056807,16394196595051757722],"_marker":null},{"coeffs":[6163924448790744924,3492031750919910613],"_marker":null},{"coeffs":[527094607109580327,2573338251445481247],"_marker":null},{"coeffs":[10490107426572710563,16910182320216281952],"_marker":null},{"coeffs":[4622207749719025814,3678175313499711289],"_marker":null},{"coeffs":[13524301137262598473,1939374184966019073],"_marker":null},{"coeffs":[14684431426475354925,11758195921700010272],"_marker":null},{"coeffs":[2738592682850256236,14770638997667402040],"_marker":null},{"coeffs":[18001407530114316596,4298958586335892934],"_marker":null},{"coeffs":[17723785267571638106,2103721309718739319],"_marker":null},{"coeffs":[5430779007641910713,14664303166876914475],"_marker":null},{"coeffs":[4218284735113766883,850610574510790096],"_marker":null},{"coeffs":[12947033228179635838,5941938555161398165],"_marker":null},{"coeffs":[5054275103890230871,2097354787732384249],"_marker":null},{"coeffs":[7313942723826920314,14877760688936384891],"_marker":null},{"coeffs":[13614594416436586161,8503978572396938040],"_marker":null},{"coeffs":[9695596333025892769,11567209700775474071],"_marker":null},{"coeffs":[11120090886596207468,2480150867457234638],"_marker":null},{"coeffs":[1033003327758433087,3092593614165283298],"_marker":null},{"coeffs":[10598591098790040532,12799326359703136805],"_marker":null},{"coeffs":[10824063323399409638,11207284040247749219],"_marker":null},{"coeffs":[9826874117923951325,5827907390508936872],"_marker":null},{"coeffs":[11901352862105457078,6117511412110276579],"_marker":null},{"coeffs":[13740096813021276486,16607668999675475640],"_marker":null},{"coeffs":[14691055829614200566,5757934103761467264],"_marker":null},{"coeffs":[4666432569103692400,16466846303165988043],"_marker":null},{"coeffs":[5462274349370776561,11988457159826434085],"_marker":null},{"coeffs":[14598723362102481997,15895794017425070041],"_marker":null},{"coeffs":[9401076999663544792,14501676862207756877],"_marker":null},{"coeffs":[12940115613220546214,16888864707798018094],"_marker":null},{"coeffs":[11502172033603321086,948809530496797560],"_marker":null},{"coeffs":[8393678117045878231,17544514864095878514],"_marker":null},{"coeffs":[5183743704283723268,13515088897539348515],"_marker":null},{"coeffs":[1315289982767473872,8287298184879576846],"_marker":null},{"coeffs":[7189989970297679489,14950520614946901484],"_marker":null},{"coeffs":[741156854064651265,10858773576040617649],"_marker":null},{"coeffs":[14636526377715414642,11961961715541242055],"_marker":null},{"coeffs":[17947189022198570628,13737857522055706219],"_marker":null},{"coeffs":[13796799022467531248,10781044176768051183],"_marker":null},{"coeffs":[4244356842806000375,11229251515693700007],"_marker":null},{"coeffs":[8338515269786183940,17753461415631190084],"_marker":null},{"coeffs":[17722399665819167686,16291196296839194063],"_marker":null},{"coeffs":[2176071759508705366,6550186831161434946],"_marker":null},{"coeffs":[7876380621618590077,10048234478247206701],"_marker":null},{"coeffs":[12063346874702176804,7220150690533287412],"_marker":null},{"coeffs":[12989831482524206142,33174829447143826],"_marker":null},{"coeffs":[4360973895726310082,15228829955301399337],"_marker":null}],"values_at_z_omega":[{"coeffs":[11835958276364831844,6532207015085851333],"_marker":null}],"values_at_0":[],"fri_base_oracle_cap":[[16301310476603710247,2935629856995912155,15039797238930909388,18026846940456079888],[9831901608456801381,4456160942446799116,4937656769013192258,11282245189692521491],[11910646710304023875,4744946467694681450,3345411965249933249,11017289808812870184],[3168131584443007209,578773851213065240,2826342355977034896,9785433688011231428],[7974678380460844897,3592232374577107565,14897598349897416222,17675962855538747914],[11545880456771249094,12557224354559126280,12246953402273758973,14171973718389562345],[15021455183199032674,13365525237377241778,16159792843005730551,18016734605206012233],[13926298031816011020,6389232595536191213,11887843747327058481,5909960391107914419],[15930314807764783456,1703570810605473753,4230226234399450223,6141718449782725749],[9801170800338807010,15955643775043600882,14951841387359140386,5999210875437973491],[18415998098124061166,16433079302287495353,12121649433744023974,8914222383992844723],[13488265431687466953,7023381487812002161,2463958008447724862,9346903217614038891],[9234120422791960882,12019716914483487233,8970660598238798273,11623164061099536610],[3953960475430598602,15160103481413328966,12008334114296946998,14258014471922507508],[16928490868790518463,4001910838260246598,9017819349872478039,2733919090044256796],[7050104344422921593,17844436275277693419,3866807171816244770,14640563213997927439]],"fri_intermediate_oracles_caps":[[[10336839797639106744,17094382509057541617,12271117233876070880,189412965464062771],[12318965396628636802,3043362736901182679,3264079762853649134,15470207028189697218],[9801292789706827624,7870046801418277124,14296186894970841118,10018510526291712075],[15162755736946776702,13741694359281789168,10506134445817983130,5904700895311164841],[16986644525750365747,2211650327974571016,16785782147173836997,5159789161612089326],[12296171454703171046,18359770976131636646,7762190151063374389,8614909519627195544],[3933593815935605709,11032492811800407943,8174472178313291628,16903991941962566205],[8851729207232720879,2337540935379093481,594576466616023019,11732015663214468230],[11987338911271558076,18194047917083382861,13628938721927025015,6951090891276166390],[3073029004581092178,15754043706388643756,11466296858664291053,7080716811074293895],[7622244771680184690,2388701596672875656,9248589662587331031,13265297606563838563],[11926576357058118132,16739734137586819433,2413571256330513056,6734485929211882284],[13355219039276361413,8043195648310912691,11105445325335898866,994828922603812502],[9305052512823886391,2228651547625034980,3199036695387530380,9119366222918253666],[8429793403470325496,18233556006137339168,3887255235299882373,8826601711742072195],[4264749808407843532,17131435840501910195,737354490020055572,16900166707440172899]],[[18075464265155418103,12129674905757860746,5672387972422512326,2351123971358330429],[15243337146103047450,14697106213147222673,5865413241001864753,7314708737937126306],[13066940101367345647,15912505370133071363,7217512671964051112,9176239665037202177],[2218005232631157549,2809126400401566851,13139055226581910365,16290485834752422424],[16861601038008116671,6738073769589237215,9425289007294708935,768387769671427804],[1867817050998196720,16379780839955047744,14057799705112235331,14144910697586965254],[14881280887051639328,15336430349757345407,15050564572089557534,7553085962034793596],[6255252229064281480,17870319084525764907,4310474564344181665,4882272023791662967],[17628218127383299805,14917370325202808468,1313197166910214795,7653185859501537285],[11168475124005140694,1033255829930299525,3355327919988053074,7632055906270892570],[9553645355734269907,1486675270695540815,4987206618214646113,4611158570926228438],[13682977489861621021,16490430272053193399,18170567134277621514,5938323708399163384],[17163541926064102632,2561208773328890319,7160525801535698896,4739871089105369461],[18193359445309125473,725050100418528643,3150571395673994183,6418036128787841946],[10597622407762268791,9185376593185107926,16137801201907535790,15782937244577201175],[11549929655988278604,13798840622895539114,5671410693229201924,14032307806895599742]],[[7616080165079311076,7391646713347046526,12730966462943619203,12280007163773922410],[12448917218807387914,16250009409981305890,13436277222015435096,17173226094489752582],[2397334973687494233,9239353811904207450,12301040126481478740,13769367754650931118],[12946046053724399245,10235157969205053784,1942298602056263742,8448021467726755521],[7704040864332504070,1889660914733539196,7246374471236894218,14019216226368122671],[15140121816909375489,2903159229262338042,8631536255214890969,8708361574174047880],[13252346629197332121,4228363400105926987,272381466710955523,18145120923368796822],[7243932368848259640,13562642951331762299,363510766051710590,11672663375744754447],[7081701649909868636,914085933739017598,15038670952014616250,14976388346758915032],[1717257368379130627,11478679605544519052,549872241336666333,15993295559780789253],[12023853412981031509,9675557384279655691,11609970562786156483,10629181074351506587],[14373841489920916161,8624700900632333137,15547148017475650808,18403917709207029565],[17380162112134726563,18316553474151795796,14606167671580525800,7791296963947328092],[7065087064429895493,11898551543340660449,18158458518771506638,16368863164889080088],[6171421150786039129,4788875646619126673,16971791176062501840,8182470517687615733],[6424118119398873510,10446885201817721507,11616983719849100290,14593536169108865147]]],"queries_per_fri_repetition":[{"witness_query":{"leaf_elements":[11758423187429409291,15449829485377222460,7317838626298714273,13151343360268414529,18088540868467802491,9741916435493053319,3444419277873312688,762223690928591063,12205382765462085315,2336542818414590066,9707805489367937175,11531058096922302048,1728877310829479367,8692728645199118865,13536959068673697788,6007102111059506055,6135957432537656784,15077581538275251684,5898798288674313442,415139915275363983,8386038702249575034,9473905725572013425,9611758126214557876,3903000590068996086,12399113956684243188,12124513571744947699,13149961499263490598,7164526693270412595,6570743101820326198,3204968950786032863,13629848637501251636,8509284793529413010,6371249643982659630,14063935621939958625,11379356233290552845,2500734702790925283,3968907994261928753,15979811359945422169,18025110541021371040,5113063386493127688,9144839177087360221,1517678281343626931,4764720140272509848,4766849268561971664,14357892396736202405,10383826225864751931,3096882532257711186,13947404004026532771,11716210675949768851,2993515286230752153,12869477146571847116,15394596316736780075,17398887844884055553,8869852093560232678,9385387587002466236,15300449042614008206,13854679396822530662,3646386751756026695,9359608931235494881,7696020026925903487,6717093674555146926,12768066453719795700,14425917042929178602,5714646664928773498,11102194846705259690,10017141936067538813,16750183540521866892,18312509866410666015,17712054802504100473,8727265192611432981,11763426023053034151,9580685447656763116,13755732876504374802,7999921614717083118,5040920987736292106,12326427887002857684,10390200367174761809,8339961679443570474,655352441031631586,7098942940596758118,8302106377476329082,2017961273227714549,4128743012943690927,16654952556332447589,5997257008345262311,6236071544600053486,17524045391946250476,5500580294154094013,4329184625859029408,16095361955922361858,17606645825505153922,14982970506735261306,2944972126106071832,10089653768576647119,154848902827379790,11938614032053582727,17520851861047921318,1339622378686171058,3572196085548577959,9994216387287917260,17366325792634657979,14713005405823927498,8248077928308043273,11741812350238238696,17436003400518695378,8021509478123318250,11688300945585725869,17778737298710180196,483523898476682858,602847479596705807,5180505037472958759,7040066155267432601,8068467239353052066,16126568233118953812,15550472833933215476,18229483812800879907,8443524768470140890,11816048632500168768,15806964950382853080,6943752594723973467,79630284910029645,16520409260275224479,3430436813353269511,4665312377470370757,9615452812236403942,14611648967069792917,15375995445369778998,16489231731531529595,4821664764495059037,2640248253075271586],"proof":[[13297483282996271626,12774591873113829469,10931587545639775788,7063839803792259875],[14896297987732891441,5951521163230893174,2968351118060762966,13964640303290289481],[9747099088452619171,11305485141441639825,5397296000836347251,12916339018576537243],[1229890300356481226,13719511009794634870,3627618915281736623,1961876795007421510],[15085645934638767421,12906118669403178058,14679488724794597215,6179178771835898111],[10364831740266804803,11897958573382710823,16210333365846106032,1996117812874273590],[5031895315307204718,5353436139020325133,11853006046926290712,15798295264019402904],[12415835550103609454,8601226745608916413,9528053021003606446,6091906935913984501],[16921703314934754272,12370553233441442051,12325797462389222597,12781028646356918068],[13005735697852053041,15331565734767962244,3150738386113942672,14783720984920327046],[14485793865866723776,307333586309209674,15565940182433516832,10237264965026718618],[10444315555743265876,7125716953947768992,2571356227501554741,12461749095017143281],[847017311094568721,9783632464883277790,2929585598699132430,15506621310674446766],[15602018506435063177,7694132404115649080,17793876506175300975,17231992237231453888],[6290428787275974030,2207702797064377770,11348781728666800183,12579058485746650586],[3878851223068602686,6889057767134256877,12682916545005772126,7133361452949051123],[9612240231636657580,2133469103202872834,2880394517936565094,3590263620009770978],[7180661999947016616,14651323702065944868,16821271403858704445,13941975949144055249]]},"stage_2_query":{"leaf_elements":[15411824714184242451,118232439624883283,10824599146422705096,13294397089821993984,2342127955272314873,12090939234035235423,10848694666574789560,2346295599043662564,7031069877558605987,7308974522615863663,15786910992273424015,18342013468544884111,9459604820029187900,1112075544588304499,1905322563279085366,13207564594993557581,7801507927255428565,18333163882359275387],"proof":[[8692957977744525308,16461456489707594082,13507154156772494324,16072798294308814006],[4989039632380075840,16637359614866370752,8717242450381573716,8159611507700865569],[4817795656028925781,3110744545824340146,15440224194015004001,7394097912571499435],[9603433151087101703,6499729537910935558,14128753102551694095,5499199434367088822],[5217348877291717773,12639570360060487423,10048459827613480042,17530701313878468301],[3947985019525821019,16190215348914297801,9859016682861441743,2252271922737437184],[11494096556731155224,12751056350450029907,7259798148115843246,10743672980063173491],[8600535268236488722,16077580680391574218,3347676784927356859,982862083566807525],[3019126527922565308,3822706046256078094,9441321512614788592,16687600343845600569],[12182600511457494031,13182776782118261659,8560609044909700064,777055581184442735],[17754585338094963243,16414731589002477220,783914050692297981,10307771823880794218],[17701338437035551006,6477428405939402439,14518368840994713469,8922112714749024622],[13158374175512786021,17583391905791505765,1534070802643154116,9914396977737993598],[13885867180782850011,15867898717156574485,14001178108740933045,13740480772964252420],[15876681213684360338,4871553684238306665,1451797279076631850,13192128466004152157],[7669812125828489155,7754804586126900352,7773910745882433207,7082481156524268314],[1654899841459845424,10231293508125389392,14128884735767315498,5682105680813268759],[8743984798214397570,4867660838037600477,16415573239562767434,11325164292818544610]]},"quotient_query":{"leaf_elements":[1183208275151671486,7003088401674810903,13564097060841768346,7678962581328656896,7504146720959667505,3739029747294726608,13051557004278607739,5562059895057039297,7872759887650855239,2588483237130484844,12180470066019148153,6192417990335094313,1170519331861182360,11963361669382079539,12987532764489424858,6877264089908124678],"proof":[[3018273544705095514,16305062081778177927,10429822484550599048,9935134051418352758],[5050531038756751092,13485624941913687262,4536616293402476267,12286722490495933868],[8387159208126785091,8520855235423456271,4141973760262485751,18154432188407337050],[7094503702658903632,116778939472766809,18132938761374945663,15160584971980377893],[4133855653053025859,5874641314123300148,16673318512305634910,17603249879745622235],[8680684411389734548,3726367085990269233,823949289702744684,17386714748910174840],[5329211924690245675,16871382947235774500,17501747112784631803,2953477718534491055],[8921623875521401465,2853808186460632992,6048579935155264917,1315820984550268896],[17246686036361612056,15514333063054561551,17655419488732087322,13006849481283989587],[3778273458087916480,319154361142299888,16092149080751132452,1698165378094666470],[2647886615772361557,16696645426349445226,6135132477144373471,1423118726351500688],[3116652405343737610,14505059292320659948,13286687038920634040,15707007285670729680],[2952117403590644183,1500872042646705099,9483166262527471118,1012165039607832655],[3034540945959842131,1667272681470730673,6428079803571563910,492718384819589441],[9681799022179200070,11777137825517126858,16121698468464789368,9842464993504501986],[806323175805485454,8806276982198117040,9242731625939975727,259078559159609294],[13893061150019850686,17748196213184778170,16352139973510947979,1890369680017053827],[2740323658584534752,86911953485958937,12679875228689809707,16061322496904175003]]},"setup_query":{"leaf_elements":[16356471465068749590,12272729585979487890,4794133947403782859,11919962692358475556,12062527990568386075,4979834683089761031,16877558595704369860,5401833261111043159,2138713100566445080,1361175786200492467,17806809493407356961,611798358928641287,18205704500177586923,15698527222157928930,15162672273968037839,17534559277134445114,8128549265051314338,14739496469117512207,3848547420984646268,12281201705127812173,1325322759137802414,9573938539691762313,10433040855107382321,6687435061389425557,4910974117628455499,1168121979569645706,10427156124163753954,5314126117936554212,16563901678939024697,18356588819215301081,5105274714076343341,9306725087411573538,6923189383644548769,2796441285614549868,6185209083404421595,13497414453890589123,15609418540629684160,17758960099948619236,17501263259988550737,9986244592343359936,16558217258496147043,1895093652852581327,16366368744789479509,5458970408298030458,13516993673899173168,13448789691984885671,10569631379527622250,1209763917229505720,13362928112246547082,7820077620304049885,2257606751653559493,3447791659131164409,2738841476539417904,1217142464942594991,13640747437250065492,16734028345382838790,6514993480773905891,13147933615679069482,15044315186794917811,5410388934122997972,15024881405867988646,16942769822206057470,5187539443795444281,17220300864587919042,17309695504602866423,11081314256113928904,6365984345397770169,9878748256863770485,728820031575940563,1466875004786145856,4219869058948249221,1383118921388933960,13215593873294158561,11143590128279813138,14233833503895555228,15716043708441066713],"proof":[[16401716818345879662,11972757808141623751,2263428034181357722,7216582927198438041],[8301090868071307860,515244970837405329,5983124134237898644,9333726531597555810],[9815836822005504796,2372276911500121640,16774344855765796241,7028844931392619651],[9117760099396655604,13281072176510688361,2016271151995016689,901441067343258168],[14092763924219905916,9028261744512440992,16201863895913129580,4610985556843828471],[10079028790773418372,12197349493033875493,8391279669643816345,1554148115832027137],[8762367600835626669,1647245886303014875,4950996191249181160,8539546402214434983],[14308855963198325170,7585122950595104176,14897598796297496281,9112344046085394535],[8762607649638364547,11645576912170511361,14517519248248420501,5798188130770573697],[14105772472394839055,4992531764037804875,17436354987443005121,8561592586721060658],[9014790179287481445,3897247528967631015,950450951366327751,15363221074044721702],[715351191741463072,15606492412938037362,3246625275765185201,17639366346862043722],[3507927951017142228,2337332387136416048,557817709913852795,10869533015812276719],[2382844634328666610,4571841707591096599,2594935242925148103,5454947500731964184],[2445016346207854259,9074728394150788709,17808037170106472118,2266824472601300376],[3094273689885640092,14788859110836368799,18091922916911980447,16983197896428303592],[4682178981853939210,15075035957542994051,6210726870234422363,10942039942336642909],[7646891897608138019,11105527550434744741,369298946323341885,4563845437800722851]]},"fri_queries":[{"leaf_elements":[12267846267280043151,3144150848658405337,15498190149261033249,2576584291153626526,7685214480949532227,8233936744921706970,4331822667832120426,6300699405830570617,12473231813827319689,900151562047075414,5618466764191915355,4050447808104838496,8412428618299691205,17876711836863038897,18218150656082099605,13419900917336468636],"proof":[[13401175612188154313,4136482343791310622,10873234354588590530,6897749687076145316],[12959847874133778705,16712785651091368786,5520949303144764735,17091266581829892852],[4121998703187723459,802759883143214690,16974170117603711854,10716619531597943773],[9523933450020901760,13498576212302472485,15681632908371595502,3813555932783067063],[15431239180582047426,17226780793524634473,159232704684638167,747058624173291744],[14377200887557344477,13290187506804391477,3020091919654062920,8376340589396826210],[3658655411618222468,8949367186020156901,13072729143660994771,4950803957244478921],[8729130963684901244,11996933647671894452,9951201628319427168,18254385238937535783],[13120527401740457764,9711171397486579303,17375888715210660122,14586519954907315036],[8148315406795823621,8083295851137019617,8062500869145765107,6547056014759159235],[7124418678392921502,750982293549717944,7303328102089223562,7256860480982925079],[11261351806301410198,1082072322403691180,1994202498396659964,16389262810089513201],[7939043717727828222,10636387967287717628,9385575365253183788,6644588427005020779],[1793262925472802069,13499948836011548251,4119366405100878929,10005800249531068663],[16039348423625061095,7661984703385370976,2999403737836919360,8907156659793171140]]},{"leaf_elements":[11934526891131090813,8438610767724828541,14562772923426463876,10426720542681128348,10311298629062043950,11154523561850656293,14716196499720135830,4050832554169074686,13547899652411502798,1296019258748826071,876621670365937200,7448955613299091749,6697210788699229174,3212675691696900510,17552588533273462002,586498044249208885],"proof":[[686698739981805058,6729397510156121964,9037698528306053710,3162910422208072816],[7149807114867856745,16433197324524266325,5623816872593435507,6020856921316123107],[11579738407654106487,5584282753034626326,8512960639623321876,17641405610674396722],[15762581795667762791,14439125917405305024,11873989519565841628,17985724280312438708],[13848200663421501880,17685834601547492100,13840336263078639514,10784777432560343152],[12173419458568091975,17853469655681276749,11827624430798583907,15025876699472320689],[13970521053172233764,8603848138119992136,14941009602929428209,12461418468520369438],[5527896660451733820,13818594120064718261,4667178858426280939,13672662991986261961],[284925193803880894,17337261874245643786,5535353673696740147,5893169693550882543],[13239401428308009565,11302347510872708316,8775637973973824702,13020154999107772933],[3877351442206807204,16574858775908851720,2960829308133916617,10862344502818998868],[3336646190552255376,3260838964463595709,11908603895549405398,71002754195460161]]},{"leaf_elements":[16574357984725836634,4010495989201081336,2435433856144504694,5054598091269309368,17822720542845546717,8502858349757436530,7877905640270096838,17197765172237870929,12099325422726699378,9008318943811650252,9616954160890057342,6339942396167470125,6190987003909549634,5207290209641709791,3738770876976991398,8233952724469502047],"proof":[[5119199812052000361,2913928677067168781,8000417342772235526,6779562165449894363],[16182913820647097878,3260395991300971508,13731782719552185875,11253583651746332828],[6838456071045964393,5715330789992583410,6526401432785749570,10586695260001317413],[14772446564582844179,2924452979386865607,12840357397223849343,11731759684518714697],[5333087607066817480,9550848132387371311,7123599626158173068,12308291817310802861],[12090717660729935447,4995808381315737408,11845934637753732795,8868706795618132459],[249147788170823442,11795892206390912668,16091068393593219406,2092088822630132416],[8531944004359123824,13870074737525537280,12301624267129542369,13863495545936069856],[733080632537860206,11850346892941451489,7094298916062487091,2758897954889801936]]},{"leaf_elements":[3597074739804341081,18063570884566329875,10917837035546209250,4722075013416948077,10059677875264198287,11776200929750346517,13728463849200553114,2806095077234435556,3595414205792926786,69043010914074472,8198199457544372653,11866554984252137255,16348974098243086491,6379159047509885579,10990551281258524836,5111672555171994688],"proof":[[9540792110597212112,2698300386183280579,13930723092175299600,6964475955715712719],[829248360868270774,14941040436741326418,4446200390708234699,4255724343559002373],[12286207500004787524,10570962873030409039,4766402636757249584,7763698763908413528],[4753321692996631447,11018752090976884683,5212439980236187385,6468922157436127779],[15164259851316225418,17544892049831891573,2019974983762555229,228009198565042752],[3203402960708788975,6586712437618784083,18243742634637685723,9977296341129239312]]}]},{"witness_query":{"leaf_elements":[2956698442574093271,5458588842033302744,17553397097299468248,4219440993978891659,13058756888864263210,6084739932992053387,11838760185733598086,1960469023818495563,7331035561495856005,16961741744775818739,18034973153798674622,170627186819641260,16326597354191587591,12453058570779971613,17665761495586775929,15775601798577609782,9978170900129780352,930449770214632102,18252181137175183771,10998982524097640879,3335395284735559764,2212847589088818154,7225856457611062543,6658937742070777407,9494306273765147542,14129522547672761755,4557629803132167426,4780311058550728039,14472443973149619423,8493111457049192599,17344709195553918359,17708490298394372776,659234062266267304,8920724003398596059,1432441037488126359,2488791643353451584,17170655415273250264,1942296193502820727,10589891838668997242,14635161592861914407,16889477965071399170,12295330162219368121,767076578306028169,12922887224732359512,7262855648474749757,15845038586069208872,4880528300171057315,11583846832841330320,12685087018163650012,8202967329843423759,12727203586682488102,13167234256051950345,5680538440832037809,8213468275037687639,8541574484311285578,11055785694276038436,4939043422806830005,13131653135876730305,14080686730153509928,10838967115337422735,8081372157200571256,11379427183007963952,14352376275771802769,14698764764854086469,17968386532918854922,14890837021503531998,4993952515103642998,11844584772157479299,669134376988819309,13492080201092849505,1477761449663766388,4143801048515108386,18095423616867623197,13332698362901015195,10990169468695461680,6844861479523821560,13743250639796120078,15875524963245962353,4390560453177589233,1270179513471860004,14462466640199942585,8754093612592368233,9896251621058139067,18355514233236634033,9374530976430792604,517802635682502990,14543592018716205567,6709048688243036077,7792043062806645294,14549690168190947592,14118071256757038737,16082241504260111877,12035897255153511943,9841063777368749490,13923235076483794220,17300345127382329161,5096600254065478112,13795960228372591503,1400920161719696155,14903643829996273646,11793706784114404533,1124688385122973145,16699201905066225809,16927450720698011604,1946641899947489204,6018971158941206946,5685602029514107794,855641057979186284,13178893074051533254,9323738127746840367,1430543279141897712,14804575078737102017,11444406759629318587,5152733780848043098,18141313653243197028,6140681550820607619,11423196073894719404,4919192823664364592,10411451307662350091,2725668840795574192,9910588252338847245,11295519729323448938,18296823348640066770,2228454431466957960,4461444222252139717,6973657902869879478,736204319848295390,1567130375244589183,2027880213757683874,4568542218368541862],"proof":[[14861818752325482604,6796159002923806977,4028595312233885595,4669625827051234609],[18356712088900953656,9171755716926497063,16696524907257658833,259380923312705145],[10929893053987156409,9797676848068202809,2003600668266677153,3822915766590550631],[6154603160959129290,3654194109549951549,17556442312350020554,1900848483644081051],[8834757561816393026,6768817434356718383,18399062593777348935,3343883074232579325],[979053297111142694,17411163455581402518,3864789593319805066,10475089980919705389],[3124632993646491559,12136285828290729158,7714296518569200745,7671204506843819147],[5402812804849411990,13013248144281689696,14803330064206157106,3282712900872290488],[9538322563326528470,17207094978133365682,17304416952361867460,15137757687090337456],[8967635901046276716,13259163606509637859,4701543046547661284,2640504995849327025],[9973234606548131675,2222830952002235232,9032037540995251062,15555471552129257897],[14064417279110097944,12977580720901751211,14898537769787723206,13077017916487811499],[8575509245922792283,3080618120901280906,12160151077415094019,15302707684092111834],[6397474408274559443,16655117754515467744,2168960342309282524,5582490029408766115],[12980602031456831625,6393582001858296956,9907833986100560155,908177023580023682],[13031366119307905430,13072900675212473107,9610912119366256379,2480531323090944153],[13151513858780191502,9789113164010277246,8693546052141826441,2344902363940248471],[14657865775247114833,2962061716916186301,18272928879781312433,2169427722361544048]]},"stage_2_query":{"leaf_elements":[840727869867022727,8282194903985828848,2796674501405796650,1117742337652478643,3810462343199876500,1609931210692145585,7443631335651968098,16442751572317672838,7773912277788294298,743429870238308054,17114581830326231886,11982223400504475451,13658895718401855216,7639380074420178299,18279829705270937168,10305084446564804851,7709337093512141603,9854784162206450388],"proof":[[8443406947185529425,4393899654683583463,12545792311910277033,16595124686550684934],[14859081907967870968,17601754015528919438,3086254795099543542,4146133177837267681],[5209279879942838609,15039141597895240606,11422916238765967081,3207826681060290565],[17793371126900744878,1233619110987119815,1041564490917851473,14869944216290470926],[2625466824859966509,11835645160411405708,13653513659083494373,3314748418701184293],[17523652920953614205,1850519262749299126,2730100321634355959,1166949197915868553],[9168094538409686702,16871722385842022731,4273890736867469972,2503815801883711883],[12784626265199992045,15031474505628286853,11832549411770254702,12759271496481154652],[9948700663474971836,4846209823671336265,9095748667308320941,15477008747080448174],[9743176765381293415,2624379384942400478,10908498136677167489,2221281793784541311],[4782260807316521818,2450058303633508007,17253699811557430046,8342644474591468645],[14735594324038834365,11582228539002972064,17744971244508695799,14812810243781863729],[828367920139877315,14213830178351847810,3703280168112117566,10637149251284435631],[5377328730916492959,4448017085330678733,10441245634794604193,18345547629901022330],[706487167738979870,2149687337302602606,12946685168408044460,10108749673883857325],[1316647321380321608,2271344953381279876,14453419161220338475,6740829010867668867],[9403058931941420305,5229974740177002691,5950399449446472898,14476986555914178294],[10960972939593716367,1904092812568230852,6078964945370400049,15233306258046402501]]},"quotient_query":{"leaf_elements":[15829882381156457463,5474276729464630149,10623981905859661759,3851824106292500502,8825741483576489750,7180317032102570577,17430072770770331903,2292538068951607535,11307230250385071836,1842801102686944796,14352704848434868336,10997907768419039274,17691707925072252114,9015837291828270128,13519974754337807728,5229362983049337041],"proof":[[15966518479207185992,5457080071997210749,7037090874112685053,13632972000769891395],[1188537958396691373,15681611031986632991,17917675952090665518,1271008045851190587],[1676415422552631642,13881710338345353452,2721741488637826452,13400279017262588328],[7932227209885439933,12562699821467000956,9337241686301259331,3910805924607875683],[10211923597786967979,12709238758570106979,11750205019462957725,2455920238562322813],[6812319936189094435,9937598017072992124,13527691900896819836,4602250575667035742],[410083634231682118,13761788379398283402,7534995676768664062,9366099667444983245],[3100986285792731583,2444095768178031884,17626500060462127851,844486898328990253],[10147715898710459065,17531054735661136088,623298361492861914,11324528246492045173],[4098336155078848061,4218604405339166063,16390247864027806164,14023629506962110421],[5461941933777190342,8014628729899331063,16429117165653038773,1055077279149159325],[8559579818684478858,5042756622503562569,13796471278817298883,11177613004702381164],[6746954109174775290,2462401641988799662,6835897780746500527,255463331561636041],[12469451397406198233,9573636378164930000,4637199709237700496,7484088145635091687],[16950872140923975724,6887199212779156740,7276708993612054083,9386783291190157711],[3912429804000887576,2088522287173629826,1379597499679886420,10708481729702558249],[13033657664141626404,11658855100388169075,3645074218796682585,13898941045697289143],[7834093030792150947,3563533711570848416,7376050278268455791,14803898645440858111]]},"setup_query":{"leaf_elements":[4295289528631885814,1538991738521892417,15133509640534325669,10000433917656160129,9154680555865482371,1254350092643183345,10847821261179996227,10608048118409903562,7354059683950838550,9731536698179040924,12017399826631240870,17170949217060489653,3830159397694374342,11501099200190092165,7688809224703537300,15658599246484183836,5356066173627367842,1781888087003329754,9376963295519321293,7945379667044784659,1813564623506752934,11303444887450593708,3384290621043781648,15770097500058048959,15492137753230585443,15643345285453803387,15921276136156105103,13936536187786690142,10719172764658260643,17946117873908652148,14790977738306161273,4792603137682624856,1846748823461580884,15039966975048215341,8855869238276168132,15837267051053412994,1229001225689348688,2361595585898660303,9215501995286608997,3888972530565611455,2856599232685642828,15550525230329296331,9461099252695747083,892788699578534745,15003909551454323379,8692159856185415614,14687054594832770410,3979394917436390281,9717555031760169494,2355208173002145109,253796861589693970,9802398556576932771,3939309389704970101,1309763457614863194,17690095577988391099,14730444200677073990,249096605663947029,11868814531617096422,11709142642762059248,14568630881374206286,9918609414100814106,16707230805793733912,6731814876761477209,13224635771114394964,9262582138145299204,13290734207605650597,3796834863457441091,17428536672341734037,1409101998257459048,13713633918475974244,12493719104938045685,9764543626565450543,7416875522896958582,7970756531546522506,6263735032632821569,3462512241847195289],"proof":[[11631007800812899808,15887676533402823528,6266918604165458547,15448906621621716573],[16619580733933153120,11553971001639174379,9712929029261351405,9540695752669236740],[9289809006570280341,17559202984423457015,12603578446076069747,10518005868415078049],[2056725703201756845,10765029889337147297,12077006325423671464,3030282444040282949],[8969158453198226236,17300663118262119737,11099644193822221497,17467226519541739886],[8833160544540095299,6702588942012482912,1117095625466025197,11860064064685795824],[10410340187070601488,14768713014460661797,14399779089000739189,5890552272762707723],[15522491551358911340,15355746152471825912,10989365642724671181,16784853246298224303],[1271415177662184205,13305887853118380092,6856227183940521668,3454527409075168356],[6605549314932876318,17838253527138893728,8260746739750807659,2402831027507327786],[12866845831471251793,13194095151229954815,17351632698996882717,10957574779086788072],[6816133285492798636,5891222570690713103,11592676357919919426,16864733768630782891],[12170488792458568872,844058924375397950,2034172858495803768,12341105557021361110],[14628685193425619001,7010999979082313352,2018402286128466032,12951189742569450700],[17987528208061110020,2340724002991119084,7213277867295165471,7887391421288889024],[15253310383766179257,1880375319183906994,12760306864711264400,2785464511495008459],[7035551967627626637,4804823118778174498,14123656252874432786,1087508182306495408],[12606580096092212726,7799558769798852625,5018368273220051111,2774152916567363419]]},"fri_queries":[{"leaf_elements":[17270570543371184550,7293814860734469616,7479686339667474755,1285777413052273849,4288973546041232972,10698536824189212731,4104725453934373960,625309807232560418,1254225003381300135,6912463179770488623,523129241424274793,8967144165753477195,13597479637153493124,4232340414577321374,9111908692811985199,338236565398799450],"proof":[[13545542795037367360,6413135049256730448,10807478650567267732,4112135263694983596],[17821351320698202988,13777200973844301882,2501913013242452420,18190771956759977231],[7492184576957898084,14938517224111987537,17896323990833442781,10081410418890109546],[465694872412109522,15038751284504866197,2988502867044124058,9547211142651800581],[6095153563583961268,9912717143734296558,13353739970026337245,6230332963864681717],[17261785687026002034,429200486592189338,5077809286896380089,11516077001000929858],[7828518316583575115,17159060301796462273,6769657572185932101,14679287017412468195],[11528884397804924600,8123442174225149198,9463680292223922536,9661003366148129584],[3465985074146011339,9639388254370635975,4672016848511766286,3609384013347498573],[1331513976385035249,14077055149491651797,1433476533670381935,3846495918861683694],[10119482594647178068,806319064394157575,11723259245496919393,807934557313020847],[17371326634469410704,8548720379395816238,581339339315404720,6068652338018640503],[9302509770684619910,7217690256405858704,4242268017767113779,5209258022575782924],[8077127755876179765,17588958776484129236,2508006189446691404,2635755581363884352],[5603000953067161626,7071878643950074215,13125074088813830848,10230936781817724278]]},{"leaf_elements":[273765310188275298,4503627266590552842,1942987631495363519,8500486133222364154,3448195694516163487,18367397814401081594,8628320715575733452,7328273324548599619,4197314812998599663,17327996872169776333,5626620007112173603,853801402083501475,14140711896754290019,406850250139919701,15024725883157625615,8820047586728174116],"proof":[[14368176710053592960,1501632459132764414,10947592166529218962,3670814808974887180],[4434588628166227620,13400072862776737829,14046842256914413010,6446145968293411238],[4495751349433957583,16020249029403173930,2202262378604674111,16427285450090271278],[9930560349796658878,17466980551014409992,14308856729421091301,16615646371299676151],[11168893023022885708,2150242407988520218,18300451879968376684,10673323548650390785],[9400375667315707645,12208820082118576701,9567718848430609139,11538016409000246265],[14573747078974739986,10635396266937986513,18240019352382695675,13387849722543143677],[1602188493896807551,2879855303137202260,8599816732519113572,1951067165776740509],[13739817131780976884,8543477988436569498,13493983070525389419,12872613375968582006],[7494014941354366366,15375522387248422812,1793534808008991227,13097270695579703775],[9275614551066685781,12249288343950317824,14857801890161210571,10035158764839544058],[2097997646455238547,586610483974003756,1932561914875911566,1210958734004923438]]},{"leaf_elements":[9393595891436775216,15024664955636279587,7692800985563239557,4012891022202323561,4370577981558992107,10097677447179648977,14038774173212983717,5141566888265844563,7473139271354504373,7188810871200481127,13015270683993291901,15629476953432748348,5889039153977945811,16804166622364330331,9976108818310255558,6745782265119152627],"proof":[[15557762940858269311,5340211326776004643,14872621749299192645,6263510570269804764],[366827781201754437,12267693409589237950,14001916950156137110,6957118784167140707],[6495491481964202611,1314053442578019173,13730315536530553089,4111033158467311230],[8961885161541967402,17830466126137285382,15848065701893440990,14355499103792331377],[7649538392268179162,4580921137715761266,6705039360977901857,3650297888326619238],[3596331870351113711,12494247680835650968,3823443980317692930,9551907000908439598],[1835183037409969057,3770027660949442082,14850385627991928195,7759042220573070714],[8513097407386664912,11014226708473320676,14747851319007643967,14043345586820200234],[3623299105074575773,5765306405133622632,7158612938110512915,5510757240984979950]]},{"leaf_elements":[13689213358116158823,5100054013043903381,1890308051114804571,14006857789081551877,14475664192883186404,476015671987011807,2329889396885796781,5256248862256363792,6610326023242091080,201558259574494635,6047002215316195218,6162500784996179723,18386899180203083013,4347947172549053151,383971889400419481,1972619045990902138],"proof":[[17261728671839388018,2662429118733955050,17503519890777988837,11718750997831131437],[3957420329707934704,1535952474776132993,16676669539130694526,8563063634968078907],[15866666520814964579,13786992158860423138,11469454578589176856,2620024409499119214],[18010310482523654530,2260643828255391047,5136313532709948327,15499237721547382870],[10306347539625737741,17952178769024211623,3405237615883381359,17249756222526616102],[1159830584184654363,617792087322907909,431526969890829173,11213367548061200324]]}]},{"witness_query":{"leaf_elements":[9141654664042627479,13011758043251143670,15559341224080611845,6436478584311348759,8645443676964005542,5843986566383944748,1516095993022986342,11460914889045493205,17493514645449127566,16845284734985892018,13353594489772682294,2671272857947060194,13966114995310222058,16267529229279702567,8752683968876228023,5348506631717731069,9098278759161569785,17365656973274997914,2200951594329323255,394626891379652116,10653825832538253665,12420151607186134796,17183438016065288155,2850711179432437403,5482541806046944945,2053857965328648192,2590137917617809137,175171077171828205,10966131851507887303,7146188276526982483,8984437664899002342,5558953423927822646,707662530649598293,11310250466235111263,11478574417348848353,9564619921508731283,5034301843836976334,2684521030080917570,12877422275412167882,1299163944082547727,14708611236060565008,3368129247518569238,18229890803059374756,3000631958796233485,15741057802751509545,17091569073519538617,1274548889486018595,15943085525726754276,10131326767952303898,9147947959513748893,7031617145897268668,3916533502013692113,15208334487369966928,7857991873685573121,1647551333722607924,17650676530547604761,3870173494123413123,14602513812707124031,5687923621344360908,7039702423360504898,11450777166270068053,1630957611604093875,8538234649158263050,6816289469897132360,16049414684555177673,11531039505611962247,4896980041577236489,16827853071478234093,15682768738633134503,1893088221993891472,3105882659801040799,1006969786091185757,13167061546696539503,1156330370642037260,6882777811719842515,3781643208858701559,9784449795044212138,13921369612115780557,7840305240894337711,2973706924165404266,14133962975337039601,11434115968088589337,4148314947212783370,13023537592012702192,1612807471763124506,9141904183248979083,12375681144187408218,11506973487311369570,10477515958201085752,1214870386015355867,17174499823171164678,3472877820137882128,3692492320953340844,3074457921860148097,8792354814914628501,16492854717585546043,5401498326926623976,714935228935496454,13889399801496233313,15351004377074920486,14007507242036405894,12303618317560721316,2400157103664417870,3522802214659608706,13806505841308437340,5674567928617948037,11693111898594319451,8792535433506287131,13255350146566143315,13501883652245138180,12916784420400751271,12495934215836544721,15297508730816003197,15543509274255988470,13018212373015458686,4719530030568577987,5863854935481389561,388146768349781827,16730085677307717856,11089635767210329981,11339946828049186826,16008214498144535101,8413872816487773279,9189815525437629589,1524150632254854970,4161284970809672376,159937835396909868,357767384931061815,13750156214314781553,15865437709624390179],"proof":[[10337946527856335198,7051132344667021512,618085196318478134,16118540528963974516],[2229491168160162362,4876574836235248783,16508320743408752857,16909679651926875203],[9956097352309221648,15040883336363463743,10673970887081966493,12695675858893971890],[6794805752888055937,15659914342261335906,11687040550919259350,13150824967311684587],[17839336566083912428,9082480426456356778,416515861133192391,7869571051216615124],[13905312827797366751,463146292638304439,18436477408854020253,6048387599803851651],[3630946881997201762,6651519060223834857,2421375238887897124,5815395281611288359],[11290493225158219126,17208485020945273828,12292259709750189975,4800621617248250367],[1935872902612008733,11717192345181973816,18083129984168411711,1179147595642095501],[9631122824876356815,13734785008591330153,17438511107619739479,15877189602776891942],[16277257767417161995,13750537890832386707,11088220238003074881,7155050987298488756],[10863012405331362368,4946034543627645751,17292875576420703624,13238779247310244029],[7466654296501465848,7427615031339537911,1961299451504962444,5451678389565942832],[3597708653274568310,1622873375102013275,16522584747709551198,5412129210810086035],[3998894864343264036,5116870368026691016,7995626934335771940,12501356286826988328],[10024897416451494361,6020694382246344146,12888147657315956420,6053686656661599743],[6362662020843314695,12249431510802858488,3315135546023504494,7882524088172247239],[14825049507402092807,9564628265919937227,4334756881277734774,3169026089874987766]]},"stage_2_query":{"leaf_elements":[4118270000058397638,4820631711957782909,14279978084746502933,15881394837981246333,3357717912605706380,7071551044985867628,9552725551057360404,11191729438100697781,3448083524421955449,6143771014548919535,1742893411785540147,17824749101107620641,11215198477653606161,6267539875390658838,1451734708503777018,4909697891850369162,17176814920610617488,7884458403121080705],"proof":[[5493632112377530553,3329431585706473594,3607225074255440564,4365586184211218063],[6381740958510229352,16497324878422168338,13411319060678421835,10526090369875311444],[11832636167881337013,16840082830937830784,6871649805946203415,3489540577044434072],[5041491842681879741,13542145323953101563,4057738939441192051,11150003972949007863],[12401322523434951048,5576174007321702207,3754201094152882054,3273751325084994785],[12110402284910236447,3326860739804272635,7112875589622068999,508444905375993856],[293919759931018466,1456225012004780356,6102218953711206813,6983302493008589773],[13750959762236442481,11437691057557494673,5729324861286020987,18390113740833056101],[2832580886389689441,12596573243819291246,12973792401471458059,1709611644061542930],[6006319028097500734,8475935641333095482,10342109117691899289,4710352207488207265],[10954568900745846985,11670119442508379655,14952115722605700534,530806506401899092],[2553487951669763015,10482242582201602408,5093424960674788820,18421252322211262772],[12327543527237988631,9881150537865363214,5076633862291029900,15556253320205023795],[3261781686630408217,11899440091313107368,13835571856643457656,6762965504475001000],[13594668632241507488,18402963984129665724,2639852516591225979,15228030955796319839],[11696633046521052239,18249841894128050178,9644602822149723279,4560370137594426368],[17630724205135529203,1785650274753345361,14605956221197327155,18259184179179724047],[16363795251704543314,12814541119055716700,8047819171015390824,14496505782353307174]]},"quotient_query":{"leaf_elements":[976098036584176971,16066999418227688684,225639421635929817,14541165542794456169,10752920873434157476,2361680960450510027,12379073770010037882,8643520200524938172,10802979792015718589,14266718696497616721,18226866168636694978,9958988931952004602,2460085388188629667,12224017758947194099,14228033091819548201,7617074033409395974],"proof":[[4622845949782491097,1995041459682365088,6715847569384315497,14545252782902083918],[8548078241441467617,607424651527650315,18149028333397473915,1808271424591943101],[1479417391227009328,13237978512186533298,14396361800279386993,17768687966707142247],[13807167350486445159,15966688177006749627,5387226726874490085,10792790090581915748],[9411738490623962939,3077038991418919898,521128138497800048,17114605173616613495],[17359562646588021902,14793583651723192220,10251608233475047758,14106186076012807521],[16062421453403505342,16263633057215027794,8176855748441131685,3779376015013005728],[9858813788770973537,11796390380780313891,2619094895770028098,12867610036985501871],[13898005637955100520,1241882532288142852,2492983916043316525,10987449258952828239],[4084242774733314916,13337479956174303482,6996412538452436153,1034408725974088280],[2692333052448818556,7038914848034019284,6714289541683537573,10009556540439131138],[10542404226507525242,9719488038587982725,3997347383414495998,6435760167089357703],[3277744929774072970,4165355205944599834,5238644775062935324,17777904813072550248],[6407125790619356767,8683233320566480147,704582313521612806,3368026730275613647],[11461587244085685159,18365538648156204455,5059315915926979554,1506156578288609079],[9314817241962626856,7001790123937393236,1888646191636733787,5823044012570216392],[2862769816143271202,6542637899410453166,13666293611009220171,5766197534104779347],[8145490752445187359,6515981969753247846,15899722374324825242,12745928305146229196]]},"setup_query":{"leaf_elements":[13977524710901741475,12795486422235623213,6940994316091122572,1172649453615934451,2850911120055112366,14029228822136774176,3256071359249891651,7860612053450400928,13896316797888994345,12839446435000468132,11624133778142164171,7591470824272113912,9863934764742504753,17739111038955623487,8903887347261293006,6472647788604538352,10184306442383620437,9209255107534093506,12157899337567122956,9233913501112115345,13191901412477736318,17796100916634454326,3185308214745209028,4336238234223599244,6161241853160352015,10653389384047936152,9923242194714770160,5195417976638188486,11444046122812096057,9103225485192553722,9463084656997031465,4653907486355919940,17461217361177686403,9296623636720148102,684867997949375212,15026258018223513256,8945149983965312348,753232703925122132,3839684439273133908,12297353979441316958,7418329590991159592,648907303938803100,604780541172405649,11912450369197323379,2131066610566684536,14952553898458892299,8667866105013840727,16798748702195715849,16894645401564612764,3953766804435316191,7737377569094374222,14506647402946099943,13781378797054926811,8107903872248465173,18415443060100160983,11161218272253415865,13219139801090099862,2250507888847886502,12024940667294344309,1920111456192507646,9061894874354849077,15592945986330770601,8783900166254597003,948829753523739136,4456544024049714646,17085512064065556030,14737506258444405840,7985159168724992148,1098643063776222418,13347810397413798868,5526780908394219697,17098192424664461029,9597910071916750245,2747092936952731162,129882671999178499,10245442071829403574],"proof":[[15824037407104968566,17084683226459519952,3127626356114287303,3947697379742678701],[2685883906985195815,17446605621946042944,6818629940031901493,9786862422706941704],[15102292908853744877,2944609188420461440,3494595813748922547,8655767202216893296],[9961378945389616229,8635430777794058077,939548211501968026,11168112424912169069],[10009414575044463583,11482260750315686338,15575809962073305465,17061209476003887111],[6675895178169838999,12906732794275599800,16872501923440420611,6021578759122161819],[15559513933247158003,5795230889524869492,12122117601612856414,3743539990885886428],[16594129600537075791,13828995909466896427,15270708938933326616,1215511644748292385],[18156221912274877288,3181947673440797977,8203650778000365526,11530370741241747776],[10415311104248662001,7412218853757149062,12749154903983777835,12822513739978835090],[11503099458533044755,8157200873753423660,1855205833048856602,7111623053348221807],[3719032601970153719,5316053000366771444,14776554478970947789,10340421274059191283],[357805143174241401,15971056695248558882,3007810371388767620,7559563300827433166],[4504675118162765130,18414244328437138240,10448916001356926040,7843921418553245002],[4382594508465734342,10790860346448506613,2656557537961133555,11857901425323127612],[4937448341927795383,12469402216796620208,14775882595245965352,7393049525495765018],[10364040628061324047,8429262163060274205,18345890704706197397,12016138708605011500],[9106081835541803160,7928567887430227534,5920987126927890824,16614891348046382992]]},"fri_queries":[{"leaf_elements":[16143786283649572092,3498644488513118414,16567330547671084479,2531957172641384287,16869246021796382658,15840142783937218627,18087137325482442384,1587851840271131127,16931572505952324535,4302805734844810813,1040046673556661395,12301568637582658711,6839366277883797634,13479348061460516815,16487982883757635176,18375796259752696535],"proof":[[8813308180400561483,1270102808968288143,11839730507780078532,10622656885528123179],[7825713732790151211,7430703940778953480,5211974932126160202,2210267995419631576],[4914371682096740633,7860226398865218900,7637499062230894062,15569612507837685534],[4566461246685323204,13733936342374237290,5232564163057140426,17109816466289654158],[11997008247604934874,16128773868762378200,3433346580171883719,7715070290230984628],[8177293377234453700,8889601573697641635,3299894416127172757,9966742687862673119],[17737235485507344693,5943745707595675721,1502980942241955940,9174815621912123043],[4127762851600793511,15086040610415553138,8327293943654668457,16200241701054197097],[16941843635900445338,15803708869260391833,12526246263675632366,14543603089245516522],[9258822771017317580,3793974220289160420,6475843908288406229,6919734026180387434],[7485488718137014241,12113354357242258891,8445922620873618494,4753889494240851103],[14962227725262950826,2983438952883566175,14140021671853760539,5060901911999399024],[14195868160999758874,7068980059196239557,5196131434624165473,4273952837406599562],[14408764380727056692,17855518879215734452,1724017563856779018,2032000096246081733],[6032544101099452358,6482444355336697574,9295574521924675521,10760327302361852184]]},{"leaf_elements":[6389193980866744842,3468396961101297724,4976652612688126403,15062937954345137019,11090340122408632553,11326540461164235602,16665766941962546826,9252229238374993840,18445471716823597364,14434779174433908189,764819644414384551,16114956052163605131,16765866006486839441,7823961418687622271,9590620115421760216,562975171402037961],"proof":[[18225758896386903754,6716314367904817206,17505707853108032380,17130554630602581354],[15892374189721177746,15342331047295812388,11645222999353406951,7823815405794113990],[7542838040610947237,12382240769119758289,10623694437333325441,4925471938213822794],[1553932480332160726,14912150912640154974,14670824374429859484,11470078115255067763],[17394534288617205180,934353371301003788,18131408024311681394,4646100895292212775],[3852518098347381647,17547101446582217780,17451999151689488565,8498022544500853470],[4460867875996716004,10305386071967689335,932437004311939216,12257061327873175732],[5426042086991153753,5951163939618146674,12266671769401000661,5837905389083763872],[192516385878060435,11575831478167404213,17847466883538951553,18051142663393974538],[17304884711942506610,15439059281329531997,7640272276792165815,7175856348383108311],[13555765933984063082,9353997353750570185,3249239244400277546,5031304389979270617],[7465741105807369090,6435701663828801109,13775206119700244191,1066289733784593631]]},{"leaf_elements":[13746737325500586009,1687924764158849246,13935497527823649636,15709039116649211760,1659657535704335835,5884316831123529711,10490933945413902030,12934648956672607229,12896761697622432684,15516218868447015938,11405532864624254120,10283862423071598496,5409342193306180500,6762272147826815897,16994498335271133204,7524587099700465180],"proof":[[11013546371786409901,15945255628276901386,2934787141195470131,3894084734619623400],[10388158868362355981,16761488439552200979,9601702409516730743,7026472608231876290],[10487241006981123439,8416143289495376699,10965112911850922654,5105866775227028790],[14368743790246362212,7725036039110459888,12335001502846877377,5892164495737124122],[15039614350470333682,14596126702341566552,2904195793206531584,5267720626532649100],[11514453668509910101,11019736825175503454,12477648215941456268,6600102846076419564],[16688482974577858008,3762492940557297174,11947566644310217974,8424704548739293424],[11573451988409665576,16207111643854162263,4012769120653612566,2299073311297915860],[15573946741274614250,3980641685205149196,13877330354070799955,9946018168678664557]]},{"leaf_elements":[17147953452867709608,3248094330371058783,9159008266694255818,10624592477226859506,16787537680353950952,11431380078674501585,6219024606577861457,1053404512017164048,7096741619606411776,2852002836410062849,2039852860688315412,55800970985081552,8639303021591849748,12637100610934015697,1987469437297811961,8804553213758869444],"proof":[[13206419840653286632,14343143667059348078,3280691225656173624,3360362239976712622],[9301985610695729349,3739043531400532282,3904073742230894790,10353236976809525976],[5740604888376139970,13412069418530661036,1765564400604013646,6967162336029395903],[1278558349323415779,13889446044471479727,15657880461307931953,13313342821903440610],[9906948237027511256,7921731476669808998,14168334553953330091,8812643175894704146],[16985804801527243816,3914757432202375937,14053613812483569237,1694916196929800998]]}]},{"witness_query":{"leaf_elements":[9729880468230647076,14787066996992029555,12168878258581142926,16947398910709554906,1326865744767622610,17519471315518037839,6009225729683266994,12528448338776237314,9783419058106884173,3616955952784751362,13190625350294011302,14290698720607710373,16977864621337970392,15705248054647312017,1504972603029197311,8950657780675629487,15702724225625503019,4461148810102659125,6854813802954297087,14776989999743450467,3651329743016802479,3088781827686261044,12484602922823798158,5864256831684959023,4708914546913330767,2389701284805109373,16326680205868417580,17676039804103548749,13850244309800052709,12230353091778347905,878585833764518830,6547234232879854351,8859933584849604216,3994186666674801241,14950589833241872091,8594138982937622055,70348084028836315,13654314930097515775,1577385129814279493,60896879577444881,18128057855455177469,2399815863250821626,366686510768389486,14062585974786390035,4017569446603262458,10789067893774120041,752276676890425241,15579921517267324764,15245592313385141057,7442382349473832116,4207783666469483352,16118472644090731840,3797304405681389546,8011979066872261513,4946436505424393279,14000049960386869013,2960843334001486178,9501174833176960615,17539553911007929815,7317631104141822198,16675403933793886116,13065159638227803256,3146925664606036221,9279696346895298651,16784027250368690406,12098608586576518983,6721133150953062088,2275994919102050528,5667168859998991141,14589091509022138311,16187513592368183196,10660152650172192660,11016345324964583829,519060757967666460,4100136700646916767,15477761935634608977,732758664143364637,206066330472854403,2622494132606498134,9219820778429839455,14757030552293242826,17770851878958434392,5182137832481908252,796874544039266764,5944022048225528224,3465915447912971325,14360783691384081325,15429179211237692242,7347219482068144228,8101772233651597069,15476716573973232788,9442626409828814444,2803784072900572272,12726682339085869867,6336719045662261706,3416142886690756009,2097501143406353007,16220171988979723634,18027517028459303911,7258696809611764927,2844900091643858408,18240960583344825935,4410408929086395533,11734263565702284714,15305931101294004292,5589655906807768942,6632229093696383711,16211239544323388,7875936827141252179,100607432636907429,10875604353179770258,16490565552219830191,10248003869393941525,7276230313472942801,5187279318003183413,7673263577266758243,7882164744878324908,3700453152741364887,10689694057271329962,3112152322132501184,1594035038055851154,12765117050346581175,2427784619116813566,453038278841667219,3965015903361522785,16002359398934687250,4414021769672090696,14919525023087728263,223407441450992601,1381888077962975080],"proof":[[11427468956038475368,6063070481497688303,7835905693139769335,3937344601847126938],[12580100440616552475,18246067162633118911,18067494881222637946,6884586904075503924],[1603749471494374026,16474297698743921636,13414752234011377042,8781572238543489101],[3779597333319702454,4057933564635583326,18015390495531546304,11158127665720723400],[5434338136432617042,856063410480336235,8071577599504542947,10141400263747319540],[4519923099769270947,14388987133907303151,8768136419353194479,3210912961580331939],[4715455493497266714,8961505298199600109,12455428289954275954,17437925519396486243],[10623251196586826366,7138000105328543775,6849808415278581945,8717532717705034207],[13307177472784783957,17474437117660236788,1229258787298757008,12553092000393473295],[5416418983198623392,12707653792960413179,11172373562161538373,5993746939313973558],[11618755379625862369,3476284392290484773,7361572542018015454,4146220422165971806],[17747505080911499318,17634954897418974745,8724915235730995116,3528815435492602654],[16996510228441781247,8640504680302430227,4561890948671002938,7679970178538843289],[10302859614723665839,10533436924351416238,2723503252059866363,7831522214220070755],[13530616883011334162,11642443397347095461,9759238985008566669,9036404667804368822],[12005713375896260422,17538524669113100596,17653129959449416860,8210526036780254057],[10645758362994484688,17502646665429694298,18418320238343798787,7886888695370404172],[5925414066211117983,6916208552321615034,11730255401215989164,5498183164733940171]]},"stage_2_query":{"leaf_elements":[16475066034687647271,11470228501073968467,16940225534455834866,5495042912768491712,5238226987117150709,13388866904427326806,9341434167863746213,9091031990161642603,14903530008724982139,12054156066883224692,11860960355386053636,8486140784146447660,14040476788944336947,12671390129722978674,17605149261814384137,5865364160008473386,3516353219439811092,7634680028537056315],"proof":[[9947964223239623856,7470780114884382191,136682440706516772,166183830034145752],[4137734358625940951,2900285231117907166,7290756553479501681,13699115539999607579],[7057696988107055977,12614734203248949951,17252599593982146310,16979631535453431261],[8461581706326488055,1544294500415862881,8208817117902957264,17307161952578326645],[17726643695476083711,13693869449840886464,5111827513725804691,14199486262944853296],[14405968251793364115,20937176226492246,1265187857182567005,2556720747277427505],[12904696385955161549,2543342750110760557,11077899211867556551,18072408925968885180],[16597691187613400275,2976972564539069833,8545371536264722930,10924793324817578030],[6235321925973315497,12520299170712532158,14692651850794643523,17974595454059999335],[5315203040285871428,14329291395033293163,16498389187103258728,1097140447645785441],[3930503397688283250,6180634663037121200,5136223151950896397,3704711414586946427],[2317863227641487928,457773787760289920,10391689990660886610,9075439875661967303],[6942300197353887356,13944079076842102681,13490756192921865757,13567819103232121416],[1587880861525845517,7240693054528366262,10225878223163540529,16235650867925048322],[370138078109693029,7889041343519406311,14338646878040189213,10660392524311166295],[12922313742587295203,8304421262762454666,997495047399608343,9880537738166914965],[17864347520593645003,10090457888281805339,10439237090479202540,7416556215871797220],[9168141946346189033,3906821182104584519,9866542827894644650,6022387472652672280]]},"quotient_query":{"leaf_elements":[5589190883017463766,14437424560977730061,12105599950434985936,4701187732666711809,7695047734916837920,6743133126030051798,10286465513174817422,5692064075423062404,7162117144490102904,14377114298316970776,4068449884198051796,9494132229110042469,15752168220972885940,11662301505965210392,14529663377010481469,1960888926614092444],"proof":[[617145631338914031,17850316572023465574,14550431179832965890,13262397079219396260],[7299595042046669055,7458850455402898955,14574288734363308492,3694997994894462246],[15446485432323101332,15075214498673174906,7690383490106060230,10000694402649692426],[12063146191771635114,12791138298200419009,16575294666204343672,15571195541560564579],[17556152157086895251,6124672651025819639,8433839555695884450,3019847120217411806],[4824573689070091377,10073969143235305893,18008702568691977898,14960463266403132135],[15928903121071224596,16973508369851163654,14421190822982938154,16855834409047814749],[16513372078853907750,5248820623295408994,11865977522077033494,11056079248978623122],[8378074201749225901,4336248790732163101,2292941272920650341,6089073993950653261],[15740932567605498122,9332317119282219620,13641380834323552074,9509866678631112432],[1857990390221218237,10578774903339662256,12283209910384856490,2514212451189616336],[3454599977110386569,15631260264300605523,13290783726911923323,18320959112593415119],[786530973538811428,13615326146201600090,3898243751519982899,15129537027831350040],[1928273197104195263,9970839955518482442,3089601728756813673,14756943361013629523],[7763199373192179868,3620595904949878496,3805535230682711916,13648326050462779747],[13370063488149431240,7066476988587307942,554818005965458708,10343224329247581850],[9765867421279480463,1351461644129632094,1754475135297434209,13378681664603878201],[4493354540152606727,15830641320427885569,18170459460574955670,8663020105199628523]]},"setup_query":{"leaf_elements":[2520108770069265246,12083866216364616317,10422635721878015818,562898532842319001,6105448276875045798,2396139527213569243,6021094994278509039,9498465296002827149,3248191418276068748,4155457447070172708,11748442981298150174,6377156336649844279,11335348995359166371,14313078161239372761,13633521024767915028,1280736122604471797,1018356310643326643,11313661826649012948,14264960825012322485,3072744207259880409,12041169543314131649,3005228676589691884,5499543038174044405,12473689793047852375,2746750958454761795,10671736462641126727,5688775085691767061,306665749889846567,1602323552929066956,16617940670878043133,3886353851482818770,5226942902366514655,11996040586541266685,7978629979928964747,2345059870872516238,13255428075260787408,15973225775212472568,16968987837125640040,16933409733733768615,7269630600616406167,17449050559575031378,17235360537743745362,8645150605806477524,15399746658674068748,11616617283098376033,4175969210163621237,4867695556129751692,618190744448737573,18277336084522093349,5896642230196513192,15893399713894905046,2642049685862542344,7713291634023522929,3912153344249999403,11618306190339610985,16212673987853457523,10337732912899805065,18181522074943112073,10525623477791923680,16675506300195733893,16788087662552870256,12990372791538235824,676082073606494232,4119864775775602142,860024620584732546,15044285562893134466,228081527124504914,7441064668029782105,10741315324916067602,8747345389750835780,8513590035987131260,16378396816007297742,2733998203569215863,2970237491529641234,16023454257642201223,6366760150653823702],"proof":[[149735288922698559,7157547500705257970,16145564218203270294,3400009709796400415],[2623550526898057502,8652089458782040753,18366894110043949583,11271984552180056269],[11617435185530938727,9304506710860080916,11204465426310708793,18164854707138245774],[17960302985930835241,2153084432539920318,10617492290838571771,12932128986354393314],[17137773043597403796,8830565954163351446,10702315195212822240,7874750172356807427],[2202270980210831799,5082369563849874218,8579220301209619359,7330678090298492262],[16690357833622355828,15129073009998772756,6402405088650562121,674259848434756485],[12746298908522269115,5490386358119660575,16479715732751471959,13428954935863726052],[14544211458026898754,12284914475995252944,12081246599429999452,5716299796355479709],[4052803721626419639,14840921515979901955,10339654312252929927,56876508417534242],[3932300231172283382,16552621345482676781,737272007793201347,17466072181451420915],[5838615257208346088,6561885894088394819,9256057849716107068,13117206572588487272],[14843206845163538250,3126566618682879606,11545259282509889595,14913876459173666024],[5216983970251879502,9601624057379615942,16193391549226654476,10804544015173744515],[2898059266810288891,13947855103845191038,16479428013479100690,16899592479228497140],[10791749401810558105,8085688672092052196,14225651455862594483,13107480573925329538],[6557293518238621588,9206013785799359738,4076692424494389000,11601280138447306102],[15736427349535640986,10734731699872156314,1511812993025310112,6328586243463111496]]},"fri_queries":[{"leaf_elements":[8564897523692505365,4273158520160110879,6801683651650352967,14494916500652626678,14292951191096511702,16132549926811243658,2085423208559711794,5225135734087617651,3883340085127060531,10720053108396524226,9883053672882808039,16405538748012205548,15440776384797568440,9688739393622283572,1171684703617899586,16016099182990823059],"proof":[[201045087352024556,15129778279951532505,1855929913693145020,13135086708514663048],[16306840401766952717,1188564967677137730,15597214907054347175,18187994211146378291],[6169095724566778261,10538378665689371147,5992319860328881462,15513943280151088267],[1502330556919177599,2007611177630941766,6672958622108198256,13908840759298061115],[10821614971773388844,139608533870643324,4842560749529519491,8213610916911286408],[17715008772553243747,13413012757854525136,15112410548678812534,14883866848523232708],[8993050472630713196,7787764157090987879,15483664517068748739,14495989273314771695],[3098543075774324176,12021482090340390830,17333116048940981724,5811069102064511784],[855991304456742489,7583693447356752169,3656369561001214652,4655236908216836810],[3658697598913473674,13250995452750407546,6913618055267798612,1794663080145822665],[16978151006004255982,16372370074030018103,17547907917033639795,6165100147027170519],[600477868419822576,6030682327051348812,764496519623809278,2197792423833592225],[6952119855038826436,6178383187691675946,9649038372836603734,5727299853937309505],[9433688437700649047,16371219254095277041,9914303897094937141,8276698031952401160],[17282998373000298324,13573014397271786512,4837682835597426221,5567526601583964745]]},{"leaf_elements":[9559750952167819113,12869996426141282293,5909319665919178041,6775697089858247816,11764015296472294652,8621159219514398420,2688171282909288305,16891028013604732468,14169719529439052111,16314341456848021789,14686184490888101148,7497971627411485156,8184582461769646954,11650978061432135115,7915085971787663327,16146584118361080876],"proof":[[17894852936278347523,4261760569100638829,7112699745381951401,8214866734392753593],[10782075081659646323,1280374305818608240,7968391960888553231,7717846599590276256],[10268478301096627727,5535890589630767309,7315927039386681662,17860857997044029634],[2352421277990002354,8196589918021684890,2357268863073018073,5477833325933858683],[12340692305970918282,11574906318675529145,4588530754894773753,18114209026249388153],[11293608504886911117,5028201456829295235,7491422258586796309,16998055536655277308],[14415648254964533252,13553489027875188715,9050772901322567673,1006145056730675662],[598684235499557172,16495060894770287745,13329303916963917586,2629180936915123188],[16615418692461032349,14830579376655299919,17786699108674541251,17380385252666153459],[10511893594010367192,7728037662929466598,7749167971679452511,3759862724592306523],[7431103503314590612,3146710436318468567,7424357182186195501,7143365825336137516],[11777551827202457873,13657956235350377565,15975361469432851166,15530399449083745859]]},{"leaf_elements":[1727009539401801252,11404706302861434304,2723090801870732228,14049329354755613232,16600212554517044976,18022827035137426062,11220896066157540011,16717269945061090693,1211057108958638348,12442813062710528406,2905794464606271628,857315055084582056,2698426072416371802,4998952679513783654,7974823301333400141,2752031345898544498],"proof":[[6061089679135210804,9077977676055595009,5463543032858613891,7467415004981194681],[8153673716650574200,15803344363395755820,7610371697108974493,13467715510011281026],[14631952728701205555,1516190800834086540,12681585025609312377,8873611418225096888],[12559341135464199478,4007122802980660704,2520083488730080208,14488946182941801429],[1853170962049252769,14091593106876990905,14082214297156698230,17104570234488635755],[4408254365175589641,10152523526378239453,12486913973125365877,18111541600749576535],[3954189604990697493,11887488681190242120,14906364790445228839,14937976148696516384],[16767926609770626005,2778571256053921410,14556270694713344332,9956064435276325493],[15062912790159588791,17316673455823705432,5996343522617580025,15057792499131480703]]},{"leaf_elements":[1386795903934996096,17962649768893831832,4493260795246248020,12237591842272410229,7591764978555381759,12244795470073274828,11323454423853844334,8430682221953374659,13847263766386262781,4244829292959762836,2674999099798246188,9650951602898575805,14761459672567384370,12387387992171595517,3974452349086601237,1018224864818574026],"proof":[[9657164605691562521,11706966232686252453,8166527444403970438,13952246374433959611],[10774138759061832311,16934434056762231644,7556086478219811185,8597225175849337140],[8863172567263894862,12138619488351091214,8296670591265565263,11102666710413622531],[16391556961691242690,1624509985885654425,901652280978565681,15376168269519912049],[10815519826761819517,4097472710964172895,2608984517685400894,7049063408712973045],[14207101568560986225,1484017473494998900,10663479746338878197,4073914775508201436]]}]},{"witness_query":{"leaf_elements":[3894814960182876818,881139007693603023,1797376346023836423,8178597026046412708,7036004920102813768,15354959837644637814,4839798190625909039,16501420075849655474,10131428787712912866,14512736706677707634,5790390577386504095,17013578316893335796,9921044069238218259,14775718705922045203,8838335061926503547,11223768542445435397,1877402330000065189,9687655664409709166,8114965469747286927,7780524427347032961,7618905086930066494,8337285331201122322,14848103622104306193,8082029899566864610,11240447404246075053,14999524794358667456,8304144404891610685,15880188537819642032,4136540418460099511,9489478467685222679,17561035207914836748,6872802491502071617,8512677633924405775,16705865457960204942,2677765170497444248,13085363334135083195,2978200861860697373,11237398820753581496,13583580466956283348,13470895344194178434,1036547340956621160,2975618970592407781,9625939900519992632,18234133422129074126,10765632143578872498,2830983217547472394,14505646843023519350,5531186290652861018,9207512219437385405,8527355698229944160,3440480552325848226,7761138133512741987,287515679791051866,7051400032140335067,16264605311144623285,3298106826110995943,7893857012876318434,12773036460056102712,8769562923038229507,14478800991112529090,11942177264423603399,9364437183278492040,6656846747760484101,3223011888196358249,7787866742341385449,8612175935709430612,2324167996217051795,8522483720856188712,12633867242709626296,7096291404194117642,10830550792799087787,12627203673047632520,13264732803104730143,1508642693464509649,14433398434047624623,14026443980891264415,8694797921842144701,10651322859264492880,3246311089353575983,1178734577725030607,15667425052995215151,4931272282716700043,9088649000321172164,3453009278804758588,12556546088330233520,11093077978171963296,16356574304039559373,4860812713619236900,5676594570647252685,7780342449527314692,12299212175811152902,2952264358608572507,13566871904558892993,3933764148590495924,14202457923750718671,2917281773950897451,17918837319740435596,11994534743861789796,8618033971288096998,15490996410974077025,11994380761048170558,10917112263339191942,8302086014696767173,6895397957711475471,4170671683340983820,2437882525390766851,7805768156644461445,2678834205413784198,14664959521431426474,16247151676506912021,3359729097544224492,1732142968379448036,1770002421462112152,12413470918168647335,12439715031138412280,10996182410738818629,17695736904561020614,5787378282144971748,17291283235841769664,5258050297595457287,11857713255096165804,11265573964201007161,2923471940896887215,7368003582272249860,5865624003019188002,11146315156490687380,10674506311027855278,11033544292244646144,307461179036515665,17952342781892627430],"proof":[[2800881296419865033,16882629764322829625,17453628698494357064,14931643840286275380],[18293351767833298593,11335192823647774210,13977112872757550459,6074960874182231034],[2163393874303419917,8973635127211841881,15536001985427354032,12925721932024697143],[10124136283285819392,13399556387294967650,17234279118755747840,14052250750557023216],[13732516517919178968,2161533987389762865,9652362428899459324,14793855935028874150],[13216486749352501760,12002171895202731595,4644872273186938795,16364766780253445784],[8547316224321250954,18327298471877361674,7064925638098187258,9979033267703273872],[3635483974214260518,7527922315448097432,16023888242922566801,7369126133743842053],[14103434267308404063,11004374087865923121,18312817829860767804,18127083892136911937],[4820868813299875297,11764707138517877490,7701106498144643820,6582317533700989348],[13360213913332367498,16281391895298107868,740885938668910558,12842915083039828585],[5443083164870120404,6279889947202426864,7862927027598794000,12787502149746484733],[14673699942362155720,12095298730712494748,10820615609302095359,13282913515125554312],[16185350670275752304,2472340965662059691,10858999158129935236,16774794016182415498],[549548389788143616,16745758873485707336,1499435045819168898,5504123101814020156],[12430949673347869711,8505824342799360742,1956491554377300433,10317266417735487427],[15154321958978125695,8178473448876647107,705384109929580350,15704354729558069624],[1541359309599881870,17106553483714939777,13411327203483913951,8239752903660575163]]},"stage_2_query":{"leaf_elements":[246737495123086055,1672622617476272179,6085275849950859073,4432895947229736892,17302781873391410653,7555119654390519019,5427508531050861931,15771159612657727008,3126640751526754209,4962440696221300162,4987567907747796996,14543854513291444577,7712013816597622019,16362190402607328755,17187289247329254501,379153606163240161,10066867714203681699,373845599157342649],"proof":[[17815276433211587477,6389917437116382007,14270378298920670779,4695173691468297317],[15542539927416415930,14381650661550433862,9809079769523614891,7915064514642075092],[1098227251194799268,3497045623926107489,7615708473244811079,10505773889305347564],[13270851714011373723,5477456365516469365,13970952467946155263,13758667091768993070],[15483417197244279399,16749900218492640995,16494176514186538615,7282090838657307653],[15778295865775866962,16811565914236347793,7992958023491459311,6371040788095201339],[8572876875782238291,11688160361825662471,6927112267444875622,10817571270536253750],[15162802918708726827,6185421791010734153,7374431245789038941,7016708253862424341],[85428619092031788,18323211916360913403,13442199115635590587,6471790107240259049],[12203182699714180882,7999838405996250461,7563001581255709089,16126258160241187458],[11291616486463297517,17571044189870196709,3250698371080466379,13585402895420979289],[9339646015678306243,5333791599618340578,9381944089285833176,14893810466677395795],[15788924845185559650,4014898739911594136,12453705142769653908,13890488884087357691],[2798867972330478663,17363874070943224862,2110070673003630278,9545966287461556074],[10501041003799063914,4647310497650233775,6245881887550517524,16293627469408148397],[17863299591084521456,13415954802702723888,11921697654064548393,16234718465227376174],[669005523532807500,1048854051888318233,10620526998347196216,7133891136977547263],[10755213706038106336,12640290727829314330,5342772848223276649,401484969085484163]]},"quotient_query":{"leaf_elements":[12322550094056200611,15379852031306759189,14002863233211828058,685922898165555981,1576812689063131860,5254077254194962234,11755689791325754311,2823165998189265541,5352655016484810365,12998672023663305733,2998135876106489334,6469015982886908646,1501807651186596107,1839748467485494767,6137444871973437781,1054514901368355690],"proof":[[6829594288304999406,4204214020078365405,9906863818003098342,7159161786942661250],[17000066584543607025,10515447979674581156,11303436965120954889,10181299432371025016],[15237621835473367014,15001208100853049483,12458828097357053622,2775282608717293874],[2940253468100337154,3959814333108335654,4791249011571444279,10184192087440904064],[9617629748916823686,2293621119749494706,16618413030769790743,5342821945686773410],[17138822964034974536,4070015810787069875,3118095539722253542,1037385891518560130],[1463686839835464579,10807378885481734309,1502486098608950162,8246199155274585692],[5311508569013685530,9104242382219124729,6575585706505834373,8165421661310434314],[3817664455904298840,3038976195305286923,3563714855787697069,15528807504031118069],[3396849973316815342,17271736571750899488,7488377420014896810,13363111156048172490],[16233370301723310212,11832313518855678226,3232682463303907407,12580394257754224471],[5462162696032678620,7193496639978456256,13392455924113924135,7291893477950671815],[8322464912467429523,14642734493763334914,4750545782992475846,2702119958873115874],[12380858478131835653,5876120688051346951,306084254058616865,14819014471291613534],[15361084085884714037,17357986573153019093,7948977280710483326,4780819522528314438],[1471292909736760422,1731991827144544403,9472543012232827053,16238999333682780242],[5295526219287013011,13561208222868029099,9707098627226887380,8277992412353513484],[1009311988062643352,349046954555345081,2378281281966067516,12696133047433987780]]},"setup_query":{"leaf_elements":[927429760737922587,1917112245358097775,5102659933379601188,1146402725958142202,17918462799023664408,16749397204245378046,1822132936546904500,5350828237833676831,4348890630833138331,8813287452391503885,7129148786804639211,13647836498435690224,2314825552910136110,16297987974456457223,16356502639398723350,1142322389068133558,9606638719594508103,18162814602114106254,3855062594435962208,11094445051385830099,14417611903059517794,1125362774725361718,1064422472294168009,10265353331578890903,14514212158535052940,6094652391871127408,387567783339718322,11275084282974527037,15837858721284614270,17321380617634744373,16084613870134973662,3553025792070136432,17322053504139972935,2892081975557157383,2178677989017042198,16834308238449648550,11362005075504217575,5864808578760753279,4306036739608427412,5593982607357520895,12873959885910886700,11364510431500098193,1721865535490516169,13164859388130655012,7590392662667447625,8835546177395034385,1309737160727861574,4606955312924509207,11761275372289475241,13631460647461366392,12218120883834311038,3569551396031775375,16573218895347946276,4097538871426616993,1685931173227369300,334731722644634071,17748277135277076948,7328827155544472304,2099623522162769407,15292178268382054499,7120151428727018899,9411103976099591493,11242632156340991159,7767333090809564387,4140786730080222161,14667322399084043468,11004241100818431723,11149867505403495861,14831096853788178925,8157377869822721264,15013981384006249059,11442335505074854008,14603632962022228919,8796438449382146032,16000044067598360806,1205455309808514385],"proof":[[4943986886786275102,5127401587210231283,14633695477187665374,12459572482585707604],[5319096159063898460,6397926640422524780,2838917035131751084,5284997821616473357],[17081370500190672724,11686447990388291043,8696952130933214044,15119786788426480002],[6069858251105438819,4209136568207999353,15069367168552188951,11641841295693379688],[2373785887190491964,10574894562440960564,13411319375819115647,18106764596117326501],[572203481084942936,9511786516795140059,69261298944028366,2526465643378573246],[7693203576077643820,17921719528658945145,5590772747581944893,4364449921378895030],[16889110703692871799,13514240450868724954,1812750240717865015,18244827864043626375],[9769601492824408237,784619572077059072,1676331910371834309,5047542046152844899],[4664141672336538525,12892741905039913741,10926742760371542087,6450361423947448703],[787802761211634536,1349890333396317511,3595067164014399197,69383335052630277],[17559096593283206352,17884850356852969206,11339825962799371705,719658721823006890],[11519264850212698537,4588740540907248731,7790200936936545401,16043742215251685703],[15300062603517429538,326853338752494035,10465365405660646991,2837641162495745182],[3741493647618233852,9024372097729524569,9742966318319852924,275888841904398184],[14423498441013164334,14935152644997162187,4751377767728901695,1895085963394055125],[8792506650990238000,16822690635065398504,10263624446204439527,6162937237998159344],[17333631233361350561,16831092432951236791,15442857065448052342,6356657844205690826]]},"fri_queries":[{"leaf_elements":[2534923911167468406,14521285847883208237,4100677270420145435,4504904748052899497,7629171836443658123,334666665605641820,2923723790608956417,15539912363690331192,9599143204027878905,12784085409999752514,8000006783710122997,227301221158724772,13642797213114157401,9692812803099547989,15712985955948382786,17484299204549729518],"proof":[[7875637736314915728,10415590937992393216,279186664228220803,1424770891246044228],[9974686212581439212,14234463974148646596,9519599556454194114,4351905801099156470],[3263673989305763844,3605718009664709469,15730692893947694450,6479139216212316789],[4322264854916569655,5918771990553736194,8071711722187602770,9182064440413539912],[12179189417520709849,6608583116395039918,11810197328137202902,349460857763804927],[18178531436543032601,1089859906627972428,17976582953624345863,13433291737486651876],[10586532563585382165,2633728172632308556,2868843565343603286,8998990569386018291],[2842975579829737857,18327427694589220869,5218881894270690476,11880412623741978719],[2924295017303037049,11984934894927861362,6369673085626224860,18265268986806890066],[11056710308299474429,13789749987700665195,7377991525623494826,13573522650891677415],[1400568345735252942,10857742673378266730,14093267669486263755,17529489237519616635],[13145528288999759380,13755280519879666054,430961503577620428,11459925657017615050],[12970138114095817307,13519884977546626910,10585857014353391928,14853117384994892289],[1169930582878437087,7094687313303307425,16629164647766731831,5553790014910237318],[16555960440676107423,3076121972744512000,768215324077198484,5579727963724527534]]},{"leaf_elements":[4706147804310006257,46199880726042204,5422147414582017146,14293638266613314668,16777446675548022656,1024249230795909469,9157986853057202932,62582686379303897,3660184852745479336,4471371603253900771,6193285160252129933,14162137974716600511,10585799994699141739,5867308529694668914,6749030374150626711,10711876558886606905],"proof":[[17251327955025761130,113535898320853996,13053235078609488113,3789675971350348185],[6476986340684171484,16405408610814360882,12257435743853158220,15749508217826562537],[2974070326325220090,3857901534950501755,4936139590552646323,12832975974528109720],[10752660112673145802,13069642126754678234,1767532506702825374,6794407737472770939],[17141196902824874147,13492944289726989006,3379118250833897951,6177684049646501082],[9611271011601734979,8820047551131521966,13427347891325561223,1827844728018459140],[7738578222973014445,12472670085959160767,125773519503703657,4712361618962689176],[11480217368257259100,5412757334592388638,16678145467476164948,4190237263189828237],[17035290635115186743,11829134489933707402,9163236264729981009,7830155092351910201],[10693864626337528716,2718092629159258606,2080666012191150024,9191363077899356847],[340038623080322482,14015224917811367513,1987683160730510355,16111632792547168977],[11754892472803030800,5293283416354856807,16796579286992863628,12907132719968370423]]},{"leaf_elements":[4390828744605902765,17166760668789442233,3203329716758528444,9536552151486421773,4416689649012267978,11279381415508923338,17095279399650312719,18109751046399972608,17816755648899671808,9220123964925038796,3521032955842368155,9789115282304193937,1122654833615895153,6457520672866397808,6237990803037390846,7522967117376313488],"proof":[[6909526023265706735,8933791278097149269,9844093912400576287,18434537329605319445],[1621799473498494077,14188977192177647946,2516777442679717471,16154910288826418887],[11221647367958922504,13969532515726170665,8946940871383215762,7267439951772291907],[15435909676304683215,14125703136764100644,563615762604210921,7269739750767026617],[893548349387654652,12634409892391300691,13156570959133499900,2441017633701559147],[3561063129436893761,12443252726112484959,2798055822005651850,7657781285912074852],[15116129073620275744,8282918018440472507,14872140397159964795,6534228914036138937],[6470113200804455616,8195429950712115970,548137949078099515,6820444740791624824],[9197799277118139070,10154693949091653483,6652100696635392164,15949075897861908412]]},{"leaf_elements":[11732419143324799432,13298996956694463341,11335621121747733524,4402714906467694993,202281626803963543,3656979350094624639,18015183526428037681,13026798773222044604,7970492213403582175,16035657022457004326,14364056574113223820,5074075146831848431,15086914281670440404,7993255905801310476,3176117644083646879,11305743921740530570],"proof":[[8930963067788922795,17635962851360852689,10494247449037139410,8810501629074474401],[5613472276588136422,2117139657098758722,9804386666372616499,7543793543694601114],[15167161727270788216,16756492654901599560,5493283969291961859,8847570196010101378],[11195617547830712480,4948849157167812455,12817693205534190676,7723226412845932033],[7180411217037221305,7731892724265163753,17788374192321663149,9834036158334535980],[4574484343454772600,13603071730089479988,14169246050616852244,7777059924298483718]]}]},{"witness_query":{"leaf_elements":[18216206695853895792,1464083256219716119,13988637428189693550,17898155172757423724,10545068430855339800,17769144913808132320,14427507099410326421,7900752210253873577,16062198832704141710,14950868077500763086,2038849035307754217,16339338393374949893,7126601074183666702,15051379019999459169,6575834777027010867,13819601387858111058,3393691944902848712,3836254754765301537,2953402544111975530,5303186928293792514,9102154368862679906,10372134687181508390,15996575562927661044,14317484014867866123,15980138699807569378,6380621925730915358,17123268071793675863,309216838970174621,17576664320461050284,1851553530532610762,1208964084106156609,16977271848998281279,7866869722089542445,5358982934575767748,14454046802139062696,9290644556191158554,7324298723165954569,8394879107777356463,3211631686370631337,13107276346835070069,4614097683197798328,14433844065439687197,9473859085280154273,16541203939725757611,8297589392130199043,16493434100498842358,3952744055013655344,13095294599371128140,18392086976701095909,2026521334595041845,5230061960620617832,137607162848868452,5435267070326072917,15400440760351433773,11968362356981834072,16680665976789742240,6727951877012171701,7900042208350633755,247944462060169495,588822019692284300,10093154529629495412,409320432283995334,11913845759538386150,16271017317978339112,11110933642006621642,7909463569077198705,6340425372130796093,15839491032389358332,17888682484279253045,11197017500632474771,13483976406209191537,17526235979723512994,17528964817694912872,799219503464252005,10660077140972287089,4059860872292121542,3912486228150340164,10693196534482177609,215015773489994252,8627248984281838754,12438747116675878045,12382648809165441571,5575544361390203480,9833419492355746875,18406436527475999929,3092300204376469306,2105895471968656283,16603421785013153591,8673118512521984861,11575377704288380188,16387989687324803230,9811459344035582976,4930585704262951227,18254910252695389030,12770513315267116372,4566223873384657603,17814232882118206795,10008496122513781150,8429037690809775009,6217200528354979018,13382229461078673244,17459563719074441050,2691336673005728348,8734120164992159227,13653838798462384855,9017657930121144756,6574240772998357259,15692078013286353905,17693968373585028314,1263418142743545052,379395331199263895,2470345081790414610,4175477113549109243,2664497198847048975,12624110236736812513,5479218054077729425,3608459998680450408,824302563805906389,962527828345283975,14296853780120634201,6378881737409155009,18144284460427805678,7559446571275786575,14809245290900112408,18168023154142886110,1821750082391746109,15709122188120842523,11320750608137642884,15255865685377409299,12220894925786954623],"proof":[[8252208394514867726,3782184851231747514,5659488074398207320,8127009549478680546],[10472786494244129411,14605838034436017590,5770188718736364128,4894034032918330965],[10303376056773474304,12747343500928993349,8398258637728143509,10829264776275917961],[8151716814333721818,3241902993938112064,13691774730842455406,634951064647870419],[8624726478281015575,8018792804429310849,2046787941884021728,12899897281963957455],[3815439956154136001,4586095633357648992,13574745303314013791,16632352376221056876],[5102871777798466499,1777236408642087137,13417241427298333476,5552539814276478363],[2321772123561521248,873888625680480641,18134467299573883105,18336055110311135811],[16477028696996406691,15959128811437138863,11946970583733970553,10413562746805135640],[12140215982703887070,7536305700015304991,1432397373624080893,4724232533650006131],[1141619687522600791,18168837161159426282,3094298700347010935,4267691174680708163],[6018153134510880855,7156116676859117451,13050464499549234381,13737577087640088352],[1160358086711810871,7019374736764050414,8722656384036604936,17867193955716344903],[15217516386231176067,9986073020408998373,14591079605879660034,16007210371611839934],[12391114623666861372,17516426804826017263,2797956356428571986,1329059699102273709],[7241902099087733480,12065219136124550081,10252402099212823911,352223144298777457],[736900739462012923,18342803581889472180,10417448316468072246,1649860893250358254],[5786458522987122429,9918285351613973712,15042617601673358109,3398852902176764990]]},"stage_2_query":{"leaf_elements":[15864616956905690190,15702706226887725844,3279194350774080717,10030944484235873441,7484768731200350700,7593743045206155575,3396573461048196743,171856265777861188,15529434095948480671,16398971854386532720,8633251804945180732,10514001887971796968,5348010071371265240,16069160405828175661,8377108693189501068,12596455542271199078,1870281894959124817,17091553361455397997],"proof":[[7461609233655395646,7040700241612292827,1766807640456605245,3248122999244977329],[13629867813571655117,4177812540350264369,14425394437321328042,14676808253550103434],[4291950643776298274,15496346118111932203,15989198654953543536,17289624063716703138],[8119719180042581748,11517080723333012871,4106750996348661310,18110028165985888371],[370872548338304175,17584221402529397568,11285717294108411037,10774633363910464621],[6397047625869672150,7824413862790355989,7145849749718719411,15965971702863486293],[7100452099095269281,13219973934110462697,5991702167149602718,5773363677218657806],[18257824285362243424,4396890826132942261,11339427190882737220,6379729870563035057],[8492961206890045949,6950527266841770643,5652488595665802390,12832329553673969051],[13274643749943505286,17882819736415712086,417046918647873926,12528553357121582469],[3594376976222127824,8149977494514659305,7915859069424530569,951797636941275051],[5370684777493672901,8420528969479028669,16242151684361282624,912547242333650609],[15597476794988191879,58201837184584785,8959668355090994730,11383374160500242652],[10093162859993946753,15438918190325450752,14779687779453037051,9119905587646935295],[15303684109314433173,7912298292108281370,13347706279374169395,242394730640102231],[13222617045827391439,11985959789826613668,16270372359437753602,10575400364690699755],[8789022057621208248,13577397974301759978,14664457200657283976,9459103804950683923],[2263344023286031060,4650133050281588926,14732719754421722592,6873660699811420025]]},"quotient_query":{"leaf_elements":[15979198801134807205,5823669538686471463,8118212548718560272,10024553487003558950,3732693949750011362,16587875423167302435,8892158103616520525,4834062921007125651,15097186984584233204,8490256594577043212,1434595921502444495,14443053000137646472,2982544181670099690,393295351758968281,10146697687393634619,8545258725861323019],"proof":[[14360727786204570775,17975371344870605528,10563665642460969440,449491005025756273],[11980504896502749377,2628856387303760706,746305591752640827,4789158088326013258],[12271025576557322951,13048458637983095213,7035110984844918713,6173632331302257238],[9841440630537775956,4964692719003404853,5081710049283966158,18290985478078436220],[11592273299275354190,8013860319939821741,4614366399694053385,5736367253641180875],[14267622937386695860,12696686961986519544,6546708294960994606,11185585315464893779],[13180061486244563162,15685809687625722275,5405266780720642772,6259924413953238379],[8262208334193069893,1843700718920841087,2364528957387380567,10187016805530958042],[8699594969206483143,9805225255690227887,2485726895491314277,8585249784486074608],[12615737986666310873,1156870316768348490,4749942315136842017,15790589174422462793],[9626187713937150311,3823205942631618761,6155720659768147041,8866042892066317954],[12354709367793304230,3910891616321157487,6513388864510751097,9060212525796664910],[7594435695867773664,9768805833781114588,527620752661425807,7176054043371246018],[9657974603194303948,1187631412810358694,233700666698299663,6835771224983276410],[16126540064780711451,11603943550907561571,17451570316677793564,9762603349032451647],[13113025729514833726,1940399265360165357,15033530598734600201,1694815438244539471],[6448513198335527353,15344565511368558337,13093302679511949455,3440460685075857392],[9265339782415819491,13042618186197171749,2715926266742028658,9129962714699487395]]},"setup_query":{"leaf_elements":[14431087278249143567,11841485991612750225,12471444995418208675,15669814486126169084,588253831368231795,4918248044531875992,13843436696714765155,9423407218129620039,16404163206774297065,10690185171360553988,9698008955352324662,4403846092294791285,59289552916160510,1465689662163320170,17675347763741929355,11496978195960588121,16845057424306818173,3275875373637743200,17080792911093187570,9495420889214270668,7221577461158361678,15280804907270553048,17197222040323946617,12587000168925796610,14112774230337460025,6813154692954289505,5702421420108898720,7506508767755355113,7016080812702645902,17169849703941281817,10625012340357482518,16569295911821372161,2919151378214495436,8975514069229241344,7396058263240047376,13353832571786028189,1327517636560965225,11652751018050287074,12027300611013186621,14775791736144447049,7746600374267996423,14888531935721028174,10400098038756138274,9307466478311590563,3205559377844378099,12910137242356565294,10837307940978536228,9122722172171897747,4318128656116824954,17487587896163768787,4835364976610317710,883521132870557709,5761822386509082136,17244437650200818801,2275708172984283077,11876099036847625241,17165502201684898859,5035119250552006694,3733699777328612829,6854429259473629016,13617329928477351831,13611810852868595410,4950701538923585303,16594369527100169575,17651349290854116255,9441909385998395636,17484182701994103614,673941112041804591,11945378281216758000,8897156329259135919,8339240127158579021,6268972535622201909,1913046030399668163,15897478596883838676,3363484594995009366,10702733855607270518],"proof":[[12626270860077057122,7893013255688068226,6453292544049977447,11471444781880092070],[504526818630703249,8362461147953733429,8956471023091648017,17980587453950762220],[8156516108747477574,5356391985172511282,16505624646050846237,15683666347345653992],[8077306638464407946,10641838664350720208,12557332487823926573,15170802795557765009],[17718762045384217852,13669276851343835432,13526289132428813227,12580451169222946318],[3758032552241154580,11469832630399873160,249459999117522331,1319348671985308974],[7880523283496195380,11169674998939370422,9605625798226084217,7619927033339163223],[6559634760889408051,4946697817279429856,12248032080718695839,17849080700819286539],[6489660233155167969,12220800647181147188,285440242464744782,6868056918530521453],[14563291986108894808,2450086210559011809,11766183346628339476,11524512737131054650],[1183322623947735276,6525794234300110739,13592885389787377140,11015180962973772135],[17959736300113630574,12050517294771124744,14723532278862815453,4310986133752796718],[12162858121233496753,9472134318232355461,8853717015958427106,466678891527949522],[4750445331267641786,15716377498221499613,13368087379454102012,17354003982020955446],[1803359954120866117,7211382456075606547,11974960543030244318,3411004311745877174],[9685004387140358259,5827555157650614997,6768053146340552463,2664418907740675091],[5418999705563224608,11296120356823614571,3144576855574288296,16102190101250771018],[10784109510918682213,10908034137069089600,14036248225362660818,12445163541678986375]]},"fri_queries":[{"leaf_elements":[10496132268906910361,17629869713098554782,17054074560022812315,3577724612281401176,6244588068510919000,15414282538155049065,9263658474842218780,13780138810770681894,17598234636850600078,5027545813138475335,1259384012531750645,17055940615766733568,14512269189165494964,5717761543745977823,14900397001308506614,10106551294188974101],"proof":[[15424603066364648115,13757054054408735776,773019204012415711,10070126987438469280],[16878533057675930028,6627823801258719217,3712557081920020839,6514803268410299373],[8483447425228939465,11148255381799945605,11107398214040608848,7676273252169129649],[6923083518830990149,10649921299802683553,3526168728176775035,971461429780311500],[306796246915085653,312677552024671028,8995623410351366128,4771674199330943288],[9773186408517738403,2322643870679494012,3285930969579557490,1477687000748048805],[10931804857679129795,3323889371979264806,15284165467300344813,9407878558954335810],[2781837630392415567,3283427013140306851,7455476784341750896,2475855777983057691],[14052646067776577867,12047974514357194101,16514828005814963717,9133768516279022926],[13596146973347150434,470682229080186323,16554952366692865712,3054496386116434506],[8840300611780962584,5617702392990202351,14993943654761542528,13533076352165843429],[2022322222734056437,15235444353864430748,9904939221516035067,16439174733504198318],[10276697434011760830,10766253684791648929,15970329508795091244,7100437586168181512],[1875042168551100931,17361126684436604843,17573959333537129779,16877750223069377147],[6675471241169350840,1839313204805271258,3606567931713293064,1654441298410075508]]},{"leaf_elements":[12404916872396553957,8660312049262305845,8029675222322253343,791015077472711165,840728375666273028,13852310713673078487,478054208175110853,15747182683938961407,17194577367428415559,17012311640383403273,4704203142916315997,3734657186847175396,9180097704241833075,15404436456830460076,9996873628378736640,5672006291801124315],"proof":[[12890016976366010672,10236109195305604046,11890378418743199404,3385438965856503542],[878244151157987874,9733874682661226191,15033636765648040085,3013647292883415387],[13201742602320636595,12159580883386152721,5851122841383664866,9426973302940419528],[3927130349210754976,314100514953644902,11219913970333111712,10885928023470583704],[1230375724961497921,7560927349810828727,6756579027212349027,16556549558200497319],[131665658149167824,3784683344155534442,5432479799359065822,5454316339400921975],[15422397195668001011,9277106325757149011,14451063048643340390,997861250847051594],[8818596470499489500,1424566695486131461,2400796248501641088,14643815217318173198],[4961613442274897411,5054725725282353998,527921262276466960,17216693670692101182],[917492315275906597,15848356188591304017,15115449562103910866,13014149903539647423],[15578072532920682410,9506551901954056430,7922570421215894405,3187132930814647353],[6120263884666486506,15438460271654575915,7682157117170076727,7648785920370376344]]},{"leaf_elements":[6916485241283280585,6834796870220956093,365359923995436271,14164475644652396109,7136432647128174389,4201903162513591166,9348737325845646352,13341966382574903621,3634638643286487248,4952103915107237297,4211400513017646664,6983851938807653335,11748023056237178496,5484592615713711348,14463313581371130200,3497843230614147374],"proof":[[10546014069822413035,11718583087856158126,14253198244164108811,8543609846105421741],[12986086538081823210,9325156630336004718,13963147386380485227,14086637907080057327],[3746749948157037657,12499483681574229962,9229110674007027230,12619800076735862316],[10462654409837387207,16095144160375046316,8652590264169445440,13840471067147909700],[465491429865463576,8550932829833408253,830103691922911515,6749508292777453756],[725246844572201048,15750580854538924260,1347375015115534869,16441752193096193925],[17960224067162103864,7339062110623268810,18300749918276595554,18109233067609085722],[3428400592393621007,4735534639516633254,7385945282357422321,2535357371140456278],[1901106951984851423,10346012231239623804,11587036580594290766,8153017299373727200]]},{"leaf_elements":[2026110689024233630,7377813132695548360,17415840769515205160,2590645278518839755,1507598791453344472,14136135588691701026,11251356127898609517,918750957571295516,1807761317326361172,6287872021632230289,16373590976440076689,9553972718646858675,7653390887544240627,16999696136605322612,3459038719825386145,424245862666526551],"proof":[[2329040074899151287,11779044450509957786,16362100461733295354,12053144874938585922],[9326028923171036690,984197676402664714,5849428006113840696,4765028364318694224],[11744757569405920635,1380998173088974577,1607179409676016694,1668868068740100600],[10041875154691872548,15389529628643194939,16178160739909586009,13753626945319261190],[17498175896428164971,11757016694067605833,17032270419425145086,5851511926983456020],[10935842618175957075,1408934527116400328,1635950471801399683,3581437827633141924]]}]},{"witness_query":{"leaf_elements":[7938356700702886184,10285144829298769305,9908431883227674910,11160701062758523500,14245206703101003424,7828094938115246539,15255020744707923524,10018363365206869092,11681992549783089982,4730160861345703867,11862135562923919441,16814479640532680725,17902974671096123351,3753756649043826451,1210876239563967711,12332190179782696301,7270428189964101809,8659099055141292060,2014163580544766787,10518610075072924206,8992129841280498216,14807775478358988850,5860983370115282182,8577941313975618909,10792425499559261142,14631580778872285218,17657801341629328693,17344246858031904911,13768143247015299190,1764914119688614877,8509011640300157706,10892453551029478996,5186461869826925975,15068793337450257695,3187358685256273149,14120116267359471063,1710180713896845173,15735510536531763556,7432026629596202228,8671241129117855508,3033379421978759474,14956561297659741429,6552097655997559575,14471429621467894640,6508970573423030924,2334392678592962055,18342544886344614818,608277245167380694,16525694065623848196,7860908899826225359,2243801335260637511,7357346411433112771,1504944725284922427,11785432487427451737,2871179407555357625,16547673937004685440,3517322253950932267,13759939890340357653,15805424318102390564,7192164379031995146,10098240121603674025,5005044624013478901,13045106336378291505,14047674319106188181,6805503792104092090,1130325556981171321,1177367920269675553,1347800700990443012,9953689978629551934,11146723030542333261,10677159199149205995,8088386443134646919,7751067366014084043,400592559521091240,4126356149720205014,4228473926869855319,6979314075328148296,10256513233774361622,5470836082772192866,13265045867915416697,1279290569665913239,16721112765183274486,3175806023035919806,2416286188677087069,1476461335552807249,5846555294787839094,3183675085984389766,8595853843717695056,11251683929029176539,2127521073193972272,17590862462158565941,1802113080632068699,14358662426269893072,2580580957658137950,12133591722970173479,6182112241344521845,18329762993476334822,10511224606109968004,15891620269919081124,11407757619593662229,98968664657565231,11433807335199858901,3542045011589754724,15969152398896056314,10721349452737497557,18067820097376575248,4537686335417765319,148332565323623987,14623677096079852407,1861162250283645007,11619270232668939,3790874316383682079,859168763275530199,10650281184530107666,14793678069343990767,10502555587780614060,17492347973291907765,9359237566230781222,17570380507802475067,5047557513706131654,14309842654679035604,7361247624519024629,17397014473735590242,15538504192725212022,14392635021934241604,6290563938985674468,16600861528316107740,9646151266979032509,12094268922760845452,12720012217168260122],"proof":[[7065335283162405106,9292377158080597270,744846609867005844,14809197862973655372],[8240188580994866286,7011493136063916689,2309891127822839889,7693985891405148203],[14716574241784665248,8273564203970623721,5679864401812944881,13952978356052815305],[9126854769161088917,5416433639801122643,5148270307657902971,17835615692235828432],[1857972467791174744,324350987300311493,5775665974430604760,1651025025448689537],[16479702283259783213,2960329363110996794,1645611657924857726,10669815811444574888],[10497999259808048382,2050542347850616315,3882362769935235146,16617275150153369664],[18251762028094934838,15698992367442353125,14437056775028755521,10039633975020788464],[3168940133232986365,4603015606233465399,12763223339240654114,14778115314059256987],[10267818513885217453,11953003350780525330,18356703770636353217,13964973695689091926],[1394406272464596090,212542917672539372,13474412254984560743,4127370466456045588],[12511605894350389588,7510589251182878120,12828335235603498016,12581125626541981267],[8158104146105569385,12007186368856755387,4982120557450408777,18395621448662974096],[15521715961634651391,3667459535475734378,493040483086641314,470560029310119341],[13954487572300553186,3447103540898487129,17882911862409608634,14098130444430651955],[9001059145704023862,9512760527860130918,710849002425279372,1093259695696691763],[9612240231636657580,2133469103202872834,2880394517936565094,3590263620009770978],[7180661999947016616,14651323702065944868,16821271403858704445,13941975949144055249]]},"stage_2_query":{"leaf_elements":[13310125700383514785,493344365982695583,1977629464870911586,15438012851641884704,7677887371004327611,13070456842891381805,13777906921004401635,17879581008363903027,4504733616230238113,17560624007475950930,4886844272134143214,16723527086306282222,4155937442827676763,2171669908475862082,11918560409854621682,4428537006448755012,12694045085650361919,13328389102440198251],"proof":[[11534330867817687356,13747173215177292389,6297148862085878277,602808316064312308],[16705322460817467865,13007676466841641086,15320709631926722555,16233454254942625974],[3057942006924028730,10458675770843076166,3841444755989087311,11520117016869525024],[3433835491492632662,10754465490306902468,17723792547070553309,9721599315571809288],[7090621880915924631,17558341575573919932,15580440093727754054,5903714023106413167],[9337034686636292495,18281059368478588402,10210529727735557194,1050538685790908621],[4480151531263233895,13962166146993613609,17067567438032020611,3955531596732309778],[16451782499737538568,10741898368639020308,8341247228081875481,16277394044435984849],[14414208661308725035,17750079064085480904,17871693881289548031,3345610368210381485],[17058299615711282615,1305666290596570317,12259894026844057317,14083147632735672683],[15728109887504774962,10267781183266567197,11834626349828040809,1891277425014069859],[17457300749246445998,3965015678330592236,14943419956172874366,7180298128294954668],[2877709613427921770,12175789592409732685,11820734478255615640,1907855770116815041],[4097454373934038941,7911847527577148768,9910094444233624490,12647788774080075082],[7737702105756151851,17604758843041506784,13175108413610772917,13286970462595353953],[10913220177357759694,5267220566706806605,1557776527725963047,11158413839133275884],[1654899841459845424,10231293508125389392,14128884735767315498,5682105680813268759],[8743984798214397570,4867660838037600477,16415573239562767434,11325164292818544610]]},"quotient_query":{"leaf_elements":[6151202654662141786,6544652528615868606,6919161974241085208,10063607987981854553,9893116242679720031,10017340243702872374,1427718968148466383,11373040220622276641,9483861730392389651,495374659851532950,16411843263544981179,15053451098648852331,5405801778043191898,14230930657723697981,5858105388634687702,2660963776295342189],"proof":[[7757273008405451179,74080037635514700,8021243493590681132,9311731104787017355],[9904750871293246649,18178924302356996875,12634009248760907162,10644499586398661521],[5773447322710902390,6131957227129511207,9514536699743964200,6694361230278947932],[17888128633835952680,9225396685435447046,14707456366321056379,4106843700215117960],[18164233506096674065,4160400425893244272,7823108546735962048,14713795210923896125],[9960408622998052652,3715762414476225742,13958281444251826946,12522964867045286071],[8130084675293968422,960573635373409521,4697442112196191696,16271969068745579107],[16737485416442454800,12569135363756214714,1438905041088973808,6617807577576038388],[6380659609896711689,5667997542611323619,9277226174557220245,175497315443156069],[202761317284248644,8898785151059072535,18210238218564656846,13548333677119869369],[15558131225630719505,10228840595590958560,13884261301849167553,18337646224187832029],[13306356349190947863,6542136696726706943,5757944960919238923,862551508910950838],[11320255965405208728,740794745689137530,17439891694838212976,7757348507141070321],[12857874487379180909,8081708745073325042,7241438207696473111,17129894363776262064],[4049809224962927204,3621002508262407357,4222912808747700512,15857033195556068839],[13271218773391592609,14593521158669809057,18120601967022234607,18132994004279803745],[13893061150019850686,17748196213184778170,16352139973510947979,1890369680017053827],[2740323658584534752,86911953485958937,12679875228689809707,16061322496904175003]]},"setup_query":{"leaf_elements":[1382660928428883543,6726498740123921439,9045793503709551831,2023145485750226613,9446995055978802852,7707576268445060289,8345144015994070411,17199255414081384775,16772330330063859046,595146775801196846,12352445121581612833,10680923115679897587,15583560928056930718,18378123863793808989,10729401049683606643,8826015985774030126,9501657701742450967,3254645527368142292,3349591359713065192,5162897110204768529,7812318500714444216,6850806943899186720,17448248580483390633,15756563222633156695,13116414714705405099,5349567389095972919,18081518910803395841,4084254662165086190,5519587239815272888,1082034708441878613,13931389052399333589,8886890766768551698,18196075996178354217,1103476824961960922,13414623168116971778,13305861173310521741,3872926712811520112,10556059375193460521,11872085838295078741,10637857366905881796,547870248848628501,7396399134426082010,16581027409566970278,14189427838751571494,188832538206937803,18355852789615916231,8933686541623210163,12106059768508615205,8251447578825919302,16697992127638033541,3490451324453226389,14038358717943556422,13853050697049815272,3113580295441035919,1112955970384043767,10495517688926656916,1819401056296128020,12813645577821650404,1028747654785703203,16869895971378197055,16471567772623758144,13008782554034851587,4801111831857611889,9092477564804539510,6852756827438770873,2346398602351053075,8753427930221752315,16563430962282427383,1964403732453997640,12594663333173751540,17056952018349416162,13503613752537135402,18200029873869746868,16911252266066762565,13381239866614728774,13321208339963761558],"proof":[[2355426183250734825,6506433417531668415,6582169004835079489,7570470560400831289],[13436379508149811430,3902072309283421955,9118705368516352637,16724660612727936951],[15547412995264264868,5944949718766002130,15368459688380779900,5880709640935273509],[16470426711291955994,2992545935303051691,16768740943997024020,11553896409408526767],[11234246566735378372,12891093195674421686,17868071453408433789,7428667229905984100],[16005803940677874685,2696019190531269088,303949315787759079,10762607030330086606],[8860254027259304933,9057296950645850548,11031263123582012508,304692007957160716],[14048598707173037918,15336515579107730225,10003184870837780091,9479072423654342293],[13121469726094427428,5338005263725233908,276613942675608738,3917782972357655687],[3836970530581320617,17790518096575605532,10851738851153988862,10065067575220300074],[8421549291112685295,8205669494897959137,815951182641852523,3013756466050154785],[7674669592250862439,8042644321874898175,1661045005461613840,10554067244619944184],[2399810662558965180,8364250841324334428,9419447344910525731,13449586502506846726],[15043974126376507487,13664538795456063217,5628365234887749591,4408959489891082638],[8030160424761898679,8908891964454045593,3978178453609178991,6973838102766880258],[14569323499091087530,9617940705380085052,3646609930461702632,18288789863410719743],[4682178981853939210,15075035957542994051,6210726870234422363,10942039942336642909],[7646891897608138019,11105527550434744741,369298946323341885,4563845437800722851]]},"fri_queries":[{"leaf_elements":[4876795548299303950,11483427596935908545,8087827168839338686,11767198512665297558,15101778487704610770,14737519794211816991,10448024536933111481,17559735869229279882,16517106722025577997,5171397890833896300,14944850390208186446,10025492380106293101,14163136330495979354,8764778261549468908,12643448548669801329,671468120156094644],"proof":[[10363191836971504653,17851669640812469212,14832284403899215320,3609780839637315277],[11864125626343026653,3646960958406715078,7826980895211491479,16436597947833674100],[908492693798716425,2413412888853471682,12527637913438874808,6354274332012609741],[6988193233770896227,9530673322830698952,5795026980807618234,10474324295062609394],[13018391131523510564,17966146527569684116,7576717311268940882,4766504334055296294],[1066664150297087720,17320182884422164047,320481950054508700,10836890035140767329],[17729816825388280818,7924820165554643416,11212201767466109721,13889585588975348085],[4604084375889939109,4823860279081448739,12366574878473927493,14585438720550202219],[1966843847397596861,11551757883984900329,5275444082131972730,2176971480149695266],[15457214956929875334,12854937180681094607,18044806332485956999,5013213489463039411],[11995604944243764444,8327816079028578849,1077046852058879690,17990380341200074458],[3764304884824550436,11851845620859673005,11209949856187344744,17010245619338431102],[2794071441590014376,11292957330003582528,6762798603400448810,16992394882672727351],[1793262925472802069,13499948836011548251,4119366405100878929,10005800249531068663],[16039348423625061095,7661984703385370976,2999403737836919360,8907156659793171140]]},{"leaf_elements":[2319102203119619278,10204846361974093315,4777915906488576172,2402071696862721995,16268137909255291054,10324056716737397982,7878576223540084985,10412355113815048805,9837138128189365047,8967744246249570132,12039405324207557141,4872637416071567022,11905832347014652241,291976156423930576,7356831708113363729,1039378056068630915],"proof":[[4439549036554462430,5848682362087956140,15947876823025189130,12077279796130693409],[4780486374224138053,1421511376925436051,1414915932636620853,12689196584114446350],[13745195108259293614,7068023207370953053,314325256164579919,10205577985823783926],[7508774006562496209,13835051238065345621,4317694522996300711,11674452198850739903],[8044377645805703372,6173107321404273573,9379980954513516244,9126125400371454877],[11580085007045488282,16364296003226637713,16024690664632781080,1549848119600245535],[17188125989314006919,10113116114104925526,3531274748704269913,4503894059311366282],[10619187266645392191,1186612890449866267,1474231398750749481,2387266617134765151],[9802319069407408396,16141477271352860059,8931515246366446581,13595155208769983875],[15085878747413422424,16776870300285311118,12757007566703874735,12774186055884131304],[3877351442206807204,16574858775908851720,2960829308133916617,10862344502818998868],[3336646190552255376,3260838964463595709,11908603895549405398,71002754195460161]]},{"leaf_elements":[904570322260025564,16711363189008843600,11872017675374124115,4171331953680550647,6920828770506909195,14492520995192525385,460240710032509428,12266868275766472801,9307066744265145905,6388228088466787416,13597837891722372614,15869825302593436399,17354563396216960665,8039625424725282903,15789245100207381736,8843962387579780848],"proof":[[10189900143024858683,17975142719182339617,12183626707850743066,8177655838393623029],[16085972112197646654,9768408900426354303,4766053412238605085,10931303926189030711],[10593974730979480571,3000219563251881092,12448459243529482516,15627076949392754558],[2361711401496360476,18169553951058090643,3557079397535516791,7342375417807262662],[2294079064663318924,3376698928978496104,13669794063728217907,15257259794498783531],[17068238455388991508,12238063614875113936,8882371933733610444,15351653829617955114],[11408600992582787127,10435646012042550960,1321531443180966178,3958696460824585394],[8531944004359123824,13870074737525537280,12301624267129542369,13863495545936069856],[733080632537860206,11850346892941451489,7094298916062487091,2758897954889801936]]},{"leaf_elements":[12179980936802977809,11528769488280754649,12988557961371237331,12705001944177306215,12152619281532048907,4957139480573042283,17360711081148755009,10244959300311823875,6454071189086940489,15948463754929014101,13410940815610964468,5434603282497351,2033722288642088346,2488579151828582527,1942983349989044818,1828629417903286339],"proof":[[14124844542117553891,13331258131279084467,14669720588548193122,4858773533704585574],[14718697455104740762,15292814305257892847,5283163672819341307,376563714903169350],[9644865670376462496,13866515525034011232,9408339558312045575,13519687479130849886],[13403864358837646115,6255364154629701452,2988829027575508448,12974990058056769786],[15164259851316225418,17544892049831891573,2019974983762555229,228009198565042752],[3203402960708788975,6586712437618784083,18243742634637685723,9977296341129239312]]}]},{"witness_query":{"leaf_elements":[3125010899760181488,10171962776287143328,14909277451108552464,2632183421247814759,4027862720404432259,870845667304655171,15148509865117361643,11312023760947828057,4783325001155881656,9596170648165349543,4213922543045377212,4976022615029887838,12786594049806252140,1872100528487206624,17921576648030227078,8705723511146707184,2838243732712025243,12859170475222409136,1093444009396554540,6002946530484948159,8632935152392605473,6629417383869428679,18037681293550840185,12067619969896922321,9162722766609965371,2051571114666345886,379188870257025160,12056712067929638319,11100892848778874112,13246452952753871858,2837437222007005509,12939516629876680907,11915899681117691817,13200188871499885859,18003837521634853499,10793177859585568367,6248994893290550774,18326322995063656747,7631195515663950459,12321367344940779950,15006898347707446365,9051011634363138530,3859708176973362336,12167048740816318464,7722762028320428939,14454080943216585272,10108741909687033529,10733085222165579671,8054783399941502490,12761967179575879751,6037175595925390699,12807599106028389419,5982395022025711945,9077010997811334373,10785757741112940286,9708365426419703633,5844821009664667839,2477510438886806102,5913802435699283499,4898655598313979229,9485387078039077026,10304210761099026153,6454599118468446309,6071219532096758674,4988706239562917875,1783958373325492425,3070045880499986204,12061033616145448893,1786997626812357940,18340624673893028307,13284651266486253242,7849317486544665697,2740878958417583089,13769572194552846759,16401553406629364288,6986048499250391990,17842443326416846577,2615006036118081057,149598910964443743,18247177180293690067,9159263026620568549,13270370619465091849,16991562782007667492,12755353754730996587,6414121006254718927,12337574415833876313,4407730961108756792,4865765022548343711,1629433598793548625,15304558426599291107,9796224703128412346,14010916340100464831,16802050482162709159,15999442799456874661,15666865722674537691,3684345593239876009,6385178414015163110,3613617472567507096,17509622141978891412,5727571223871474604,2156281783771718589,13181726679844892675,4050265041974871163,4250087478318433493,13371531632966898525,10504536636295721349,14193926538184787313,18209980759833007961,1096460279759472005,5908633163288996656,1990904984959638004,15253761684831383266,285070381937644626,13726208064641928914,17907825185523662337,1563209365744897271,13383072013661837275,3359143716278117349,12973459488759137096,11348209819559952844,1184704662737188160,6772963171471512393,12540252605195720610,8224568542083351935,6214359040655771813,16840310452479275148,10100835215690594402,2886430703661286501,9431120904051504446,16169777324825868648],"proof":[[1938179256446536231,14351933400288350119,16477284896202098804,3333138321056330956],[15541632487949667840,15619562493554415016,933233471513772480,3906160832150865372],[9791592743861613159,937486167078192547,17889834551704041561,4339004394212962108],[10543470973078993707,8007282186633036636,5687836432132138512,17903777333572846794],[11378752406827652308,5914877395805802759,13761526454799845604,10681563408382242189],[11088813517930704977,17249688050290339348,16534738060690248264,10045644926548078180],[3294050488562507082,13571776467077862367,8780804978620710424,16379451317101532960],[7584368766529550548,17527308501231176002,12738983087998605408,4872921056590010082],[6835675161675453971,5407500115340634823,4129656401574038137,15083419352705741915],[15847623177653970648,8464733451924568776,5919788774150031969,2290818792767820534],[1100297766855313704,13044729305411614327,13245828094873615732,8736401320910776572],[13861112494066229626,16484317184237387629,9072899880642005218,9087328257645629999],[8583573396140007927,2795987634881109423,6608312294431563415,18165117877773525786],[17928484409479508823,561593510507309863,15047148804499965944,11828919178764077094],[10214883473158738978,9873232035518328731,1664973679615219795,1470070931144068492],[15216675038349492190,17207782307701695270,13598235212650783922,6464984425453825616],[17230268515279434866,3982439486308838047,16429966383463045165,3501207247346191577],[3642919935473265886,6328686377714047804,13035254637306777564,626935032892617453]]},"stage_2_query":{"leaf_elements":[15802101718746177818,12029428479262788634,16759902963456649161,7103606019573018765,1542997071988541743,10905689201699264765,3380098795175818088,13871158636729760897,9030815589698815415,7498808273727636087,16636315575564772120,13728274815916324870,8254948238835171026,10867176179079796676,1279678424426557792,10395436209932562785,5303545505706898354,9366263009634945727],"proof":[[64673627936580841,1959088107263196619,5950316872324248160,15649638236833716161],[4516469930773329073,3049105182770867669,11439018299584301072,7452515743593901420],[5712184325946742897,16702913425676009792,911610917475627032,16372005190163877430],[43117141557979802,13633204015746022463,9583948149523208830,4572391430760945250],[6005538633846945558,12640315036766720111,7471794948933243523,15776541208803920681],[13748588699994721334,10381447125157241804,18037807470308270724,7949119245670786672],[6159007149141031826,12950835080583614226,916395978224159813,4128602919906260876],[15832927530946432765,15081954888490699816,8294059668848920489,15482676206320422301],[17620718251060355011,2346301940899030281,4829990047098816690,15197672522961666736],[14753859150421066175,17610558333051522555,9069669794652898165,8453318985053338522],[7868346575705407732,16126525820082915739,13160408154415612529,1990822999490741944],[14076810655968279804,5242881161367224453,1615485221979561545,13150150049685254447],[12444222431411459973,5411654349470273501,17325408015127830528,6960589806779558207],[9140330568995843701,17183043464424989453,17719140288277133733,11180381520085490652],[8673764610789662724,7176703667957257892,3128702101633920846,1239029523786518488],[8004676890431274646,8790412687188021762,3189398426320538314,575452528816330659],[4662943694277750406,11408609190343889607,3852660820459228124,1819534940468622385],[17870886125775383538,2069874468624806176,5264452026349473889,14785929556775028903]]},"quotient_query":{"leaf_elements":[11331552030374428833,1905295242038741599,7071885789917996927,8548369075205224114,2478806581998809170,13631349846031465205,12720723891434732554,1797677202463064869,15429828954584511848,5984051526446457509,12853689870515494818,7173803501765958046,15149525416574042509,12288642521692943180,7382285688731037598,16225718525487963347],"proof":[[5068344648105369666,4694925775922456045,2826814023973030954,3929011207792228811],[10419197218504516628,10695166480079050677,414197506071487430,4452714174787846610],[6041044104017075132,10067272595205452948,6417366592899471748,8363963867513200243],[4727395164528882910,4404410953669255425,3053298400703885323,4746197039134120372],[12175471945638211668,7854241081215348529,8096997530929015438,12330115964179224716],[4221079223392675807,8991773317608613513,2871949526583677689,14898570755430404645],[2503460093071548226,11606144011666005399,8367135138269260938,4991314185859030530],[6703090598455910725,15606616763493300688,10880023540847813280,4067921808245644853],[8515030785797347047,6386224761098584861,7689669063894958767,6050930272955596653],[5920401408836889189,5974646634481846505,242510829077364500,5826966778029675945],[5496940980396298828,10081877697287304457,15129928197391000335,68862008750143490],[1816153515481075701,2005920654095577841,5507222664308829503,13549765536579896816],[3552645361512258193,14276332403595098098,17597111707833781324,18188952070264951761],[13686547204338152035,12486346115979465410,17027982403567758961,1800519056895473959],[136047494433657830,1533695921839880436,17731864616050975324,16178451753089501587],[4895832474259443032,315782966992614460,17274125048067217370,13055209643555100937],[14788126429244247513,160982144917947005,17884683738974848685,2388619785209307908],[2764547110953583501,9316019025028935455,2468910610699529677,7176842988507232991]]},"setup_query":{"leaf_elements":[8334665451035073068,7318036440157789944,7504308321348545003,6761737886360133174,7830381034560315984,7297981010294908274,9329711254166062509,7149608313492341902,13581619264194989092,17447716125443093888,17359263486219632592,7163068104956224247,14595223645136463052,9955800605090918065,9330158380941504486,1812633209991668587,14072573769179816842,4796165184999645606,5370471884718179860,2500360612604260339,11269916257128058112,4615277845954835451,3914846589367229960,4433927828226713037,1304004164606393008,13611758119301549196,18303338994246110523,17557533622800657422,4540211599442031623,14623403399303010325,7293855410962367327,1997602954937237504,8004072437497621483,11528861644163650408,2660659596367379837,6309214872665252568,5273785576816204587,17061428703722191257,4535974243247815914,16602504016455602918,15613186743536627956,2218611246994197820,14750855536700071870,18185357256784836140,9163010565193934592,1526214070003669083,14684455866705940478,15808952227721773448,9396737608450240742,12234011624145621353,4897293128625622751,4803389547210690220,10062799647431910335,3017808424965754571,7288983660622608631,8585377559871449083,12811159644209344328,6229838315099128766,2088550680625952720,11742484232993668566,1813497553000795081,18021320889106856479,9810523716436915776,1924643968350574561,11926075007254430140,13649179498759091470,12258333621741078114,9689033264227994405,14752610194300853736,1015752453967459520,1797705994121769762,14372614095775288240,11604479887154451561,5719346226278280472,16285923398943682742,18429185875323550934],"proof":[[14830301619847145217,377473359860844057,7616135214901034220,2609816559358160039],[6465988799972876276,7555091287950607676,15073531154169418261,15771639975641688316],[15611386223996025338,7349688620501417985,8946799269525428146,9636999426828031465],[4397215169033026424,349164577806709197,6697662370558465827,5624669254599311377],[3043775505162771814,12871890087232731053,9005516929365284893,10146518091928337929],[9579169531675849336,7579490202064276014,7969645404651642981,16695251244199720912],[2070480001265604366,12896032893813394397,7546399911258935287,9841317358405279743],[14497805288756325404,10039072780930459423,6239872775496536975,13864451400827356899],[14100633505871758621,6513317951801416576,11031587505361587083,11718049643744578946],[11705379663928471265,17948182776167976834,16514796883911610135,5836991632473218637],[4201678864439721494,12812555818107506261,1955838639086067009,17483134947014814309],[4152709621237207023,8917826096894419613,10351155544703293415,3039277641729047078],[8542365794099697718,17928555794965438238,5909297064836140530,228405574904567717],[14972594279336293413,10772148869879976451,2194128500816374404,8770315685522053063],[13370076099850126012,8512108629123040899,9847555729021647149,7754369704810814798],[6594939391575391591,15774399991073898217,14878811170768130806,14238484284129355560],[10455057179641373746,5165403551872467012,6793294030908484394,15705485508981273999],[7015930553510488496,12498195081485124218,9756719254110482904,505900864932506565]]},"fri_queries":[{"leaf_elements":[7114512285862089410,14130900599219165791,14420115351777633324,14071956699041357380,11157503339036730919,8132294827492329988,6988211433962640043,16602660051561061534,309112935329377097,10446139330788725697,9510021983555427740,5494426736688923613,3176799077370857912,6489812358903366268,15590929344358168009,14816795786930173556],"proof":[[5688260828860689760,13750656472165782125,17465548253708953814,8063728461447068759],[7106465517827922391,6738335738482300241,8426620755352621655,17975618657108161396],[7532587073643020115,6714618350818090549,830030816542454570,11759237448819225998],[273667629731929581,14786849054657729377,3877751019489977617,12504095036575574609],[7022670626177888784,17194586518527003491,15726677573933923832,16265743186778908488],[361791352657324711,4062398663246270227,13993457640513680380,18274609134955442350],[14935052620210616526,2558455087575059978,16422231117928741377,3061360897389035629],[7427303481714643753,12092463572054935367,9850232327644186481,174572118851411515],[6218589572250828169,6935400203129523061,13947317532597513066,5690867692197974034],[9632253169882063396,3796122468832919146,7534891912657888529,13057504874303802623],[15986687706505452507,13398195568345085139,11569665635616347548,10790545412226334150],[13831137566139798825,2891359479861043860,12722530282880175679,2829131537656087502],[132304188344096779,2036229139512673541,7239490643192145701,1413371360778026914],[783528751347171387,2744316229268367363,11567716135872948800,3811200189671053995],[10183670440328130223,9111291066251302472,3487361731051646826,6331166414745326333]]},{"leaf_elements":[8870645520129414663,6667009299391929992,10205068034270134133,11520327876455283302,8373608384058955711,12364864910201286735,122170839198337554,9133495607612937160,17215122975391143483,7817443946806902078,24668010408577395,10872477337107084989,656439268879472420,12571552244418502679,9375607164579410735,18193961600737459046],"proof":[[11954579642716356316,16047828213761555984,9531233980999677799,4553974532787116389],[2076771399583188269,3296140658981717413,5237445288281828007,16950799518743959025],[13157359310609585612,13154868655038864890,887819695393059271,666489055441272971],[16516053921569869183,16912123639005718234,12898845027470076614,4090163211593358180],[13457035696136121516,5159984226052888491,3690500791270479007,18140916410078382966],[682482025634437350,4903115011449470967,12464663496561644022,7341984188360765269],[12744681628002786275,18081750980071538480,7531052216879694468,5050639728589962618],[8637420298354032963,4009937928013771497,16731329976465543370,8591304782038836688],[4632177324148297535,566369456610041363,15789228633724285465,9349631050238064422],[5474686820617362160,17808050991136604008,17222271669517281726,12090307799580991013],[16653960307650014152,1113931416812984840,15862294938968264529,1825659443301347617],[11549667937217511565,3597816384923122930,9848558572815174098,2905320809821744151]]},{"leaf_elements":[2072390371442985117,15794821180209649327,15778211690015268657,12151044092472478944,11813445791124818373,10514737038521782189,11603429031585937634,12362875545027257927,775595003273588813,4925356918807586865,6725363917663758795,6369699494331876930,6429969019086913511,1524433721154010645,5649595276306345055,3497570251069278889],"proof":[[4238839418828761453,3222674972878440198,16190751275488929742,11733806872203121876],[17305206372357449059,5458415508704232924,1604266382679367043,2731246419124487997],[11639554067813938409,5734530678626209638,13733139761818224914,5874217819609443953],[1102774337829179055,18308769740784584516,16974596262427274283,2675508743234324964],[681837433778575756,12936526674026315590,14285909428457834327,7980518438781793237],[12886015642421667083,6030299425824267744,17162955624292244848,10123200240089620607],[10724641877005764703,11917582126184353668,12296993800494372365,4703094405997339010],[9898535466884652793,6293075136599745117,6853050015731764457,13293400877101507704],[7257460662818238055,10110510337868441088,10168207136321352191,14841222186951306178]]},{"leaf_elements":[12996694758915897635,150644938759857698,7786566473318966926,13924589610702718350,6366023428008144867,15718499033381271189,17742572692049081226,985404469647423866,16096263392285998499,13691504194554102060,6582272303673629074,14742178147779132373,7803165287796679419,8547056919506584108,14716628881395679157,17273987652524366712],"proof":[[14835810729566249154,4640353176734467534,4650809794308236935,15286954823440109601],[1749854293290724081,11870846630903427912,10038436908045634637,14517370037123471084],[17911281610936294979,4989452738011139194,2397409291868063029,16293278160101655890],[4536601620291201680,12196564611761724325,6388853109597599721,8608089366446520159],[12694249233734983011,5334557983620197799,10970606430258155142,10640890187789786289],[10744119185779743948,147651161975207332,9094663195359861722,1968879111505187294]]}]}],"pow_challenge":0,"_marker":null}