back to table · edit · history · where entries came from · files · download
302044 bytes, as of the version from 2026-10-31 20:52 (current). Recorded here, not run.
{
"table": "T640",
"stage": "build-readback",
"skill_manifest": "agents/runs/20261031T203213Z-build-skills/manifest.json",
"skill_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
"entries": 555,
"main_bits": 461,
"check_bits": 512,
"minimum_accuracy_bits": 450,
"maximum_generator_radius": "[4.43653459e-136 +/- 1.53e-145]",
"maximum_independent_radius": "[1.11563927e-122 +/- 4.60e-131]",
"tail_M": 16,
"tail_L": 100,
"all_independent_integrals_agree": true,
"written_intervals_contain_both_enclosures": true,
"reciprocal_checks": 555,
"modular_inverse_checks": 277,
"gram_symmetry_checks": 900,
"controls": [
"primitive constant 1/(1+u)^2 -> 1/2",
"removable endpoint u^2/u^2 -> 1",
"period integral at 1 -> log(2pi)-gamma",
"10^-90 perturbation rejected"
],
"seconds": 40.77735623391345,
"versions": {
"sage": "10.9",
"numberdb": "0.1.10",
"python": "3.12.3 (main, Mar 23 2026, 19:04:32) [GCC 13.3.0]"
},
"values": [
{
"lambda": "1",
"number": "1.260661401507812622954147382728832848680635611335643226828535846080663665076856124452539533980161646",
"computed_ball": "[1.26066140150781262295414738272883284868063561133564322682853584608066366507685612445253953398016164572937984599946159241177322174919504431 +/- 3.17e-138]",
"independent_ball": "[1.2606614015078126229541473827288328486806356113356432268285358460806636650768561244525395339801616457293798459994615924118 +/- 3.79e-122]",
"accuracy_bits": 458
},
{
"lambda": "1/2",
"number": "0.7722092559908731398613025066820804944916016749116686065912318821871493433152184144379388187360165624",
"computed_ball": "[0.77220925599087313986130250668208049449160167491166860659123188218714934331521841443793881873601656241153451424445352287540853625295675059 +/- 2.36e-138]",
"independent_ball": "[0.77220925599087313986130250668208049449160167491166860659123188218714934331521841443793881873601656241153451424445352287541 +/- 7.00e-123]",
"accuracy_bits": 457
},
{
"lambda": "2",
"number": "1.544418511981746279722605013364160988983203349823337213182463764374298686630436828875877637472033125",
"computed_ball": "[1.54441851198174627972260501336416098898320334982333721318246376437429868663043682887587763747203312482306902848890704575081707250591350118 +/- 4.72e-138]",
"independent_ball": "[1.5444185119817462797226050133641609889832033498233372131824637643742986866304368288758776374720331248230690284889070457508 +/- 2.84e-122]",
"accuracy_bits": 457
},
{
"lambda": "1/3",
"number": "0.5750034694621839543151319682696108715870416798435534770613416159183956334853874208818280481717559658",
"computed_ball": "[0.57500346946218395431513196826961087158704167984355347706134161591839563348538742088182804817175596582672002178215880222543703822937732338 +/- 6.44e-138]",
"independent_ball": "[0.57500346946218395431513196826961087158704167984355347706134161591839563348538742088182804817175596582672002178215880222544 +/- 6.66e-123]",
"accuracy_bits": 455
},
{
"lambda": "2/3",
"number": "0.8822070185588043526546718409387383104560831473085791796675616546327516545155414016278172632243569063",
"computed_ball": "[0.88220701855880435265467184093873831045608314730857917966756165463275165451554140162781726322435690629703164618748310114331971232074300493 +/- 7.02e-138]",
"independent_ball": "[0.88220701855880435265467184093873831045608314730857917966756165463275165451554140162781726322435690629703164618748310114332 +/- 3.98e-123]",
"accuracy_bits": 456
},
{
"lambda": "3",
"number": "1.725010408386551862945395904808832614761125039530660431184024847755186900456162262645484144515267897",
"computed_ball": "[1.72501040838655186294539590480883261476112503953066043118402484775518690045616226264548414451526789748016006534647640667631111468813197015 +/- 7.19e-138]",
"independent_ball": "[1.7250104083865518629453959048088326147611250395306604311840248477551869004561622626454841445152678974801600653464764066763 +/- 2.24e-122]",
"accuracy_bits": 455
},
{
"lambda": "3/2",
"number": "1.323310527838206528982007761408107465684124720962868769501342481949127481773312102441725894836535359",
"computed_ball": "[1.32331052783820652898200776140810746568412472096286876950134248194912748177331210244172589483653535944554746928122465171497956848111450739 +/- 4.49e-138]",
"independent_ball": "[1.32331052783820652898200776140810746568412472096286876950134248194912748177331210244172589483653535944554746928122465171498 +/- 5.97e-123]",
"accuracy_bits": 456
},
{
"lambda": "1/4",
"number": "0.4644025313717859846873332345668570346310952437755296899882589336996080995886521034926918900741693297",
"computed_ball": "[0.46440253137178598468733323456685703463109524377552968998825893369960809958865210349269189007416932967324554839131562512253748870452521616 +/- 5.14e-138]",
"independent_ball": "[0.46440253137178598468733323456685703463109524377552968998825893369960809958865210349269189007416932967324554839131562512254 +/- 5.28e-123]",
"accuracy_bits": 456
},
{
"lambda": "3/4",
"number": "0.9463438999232604288591479667519545389071304522660544349161134899405190285895282335929612610935401362",
"computed_ball": "[0.94634389992326042885914796675195453890713045226605443491611348994051902858952823359296126109354013617966159382392858287801599306566863506 +/- 4.91e-138]",
"independent_ball": "[0.94634389992326042885914796675195453890713045226605443491611348994051902858952823359296126109354013617966159382392858287802 +/- 6.78e-123]",
"accuracy_bits": 456
},
{
"lambda": "4",
"number": "1.857610125487143938749332938267428138524380975102118759953035734798432398354608413970767560296677319",
"computed_ball": "[1.85761012548714393874933293826742813852438097510211875995303573479843239835460841397076756029667731869298219356526250049014995481810086466 +/- 8.89e-138]",
"independent_ball": "[1.8576101254871439387493329382674281385243809751021187599530357347984323983546084139707675602966773186929821935652625004902 +/- 6.12e-122]",
"accuracy_bits": 456
},
{
"lambda": "4/3",
"number": "1.261791866564347238478863955669272718542840603021405913221484653254025371452704311457281681458053515",
"computed_ball": "[1.26179186656434723847886395566927271854284060302140591322148465325402537145270431145728168145805351490621545843190477717068799075422484674 +/- 7.02e-138]",
"independent_ball": "[1.26179186656434723847886395566927271854284060302140591322148465325402537145270431145728168145805351490621545843190477717069 +/- 5.71e-123]",
"accuracy_bits": 456
},
{
"lambda": "1/5",
"number": "0.3924788623380489287209395467692375847959430290010881051753705914945552607991954860718586035482807417",
"computed_ball": "[0.39247886233804892872093954676923758479594302900108810517537059149455526079919548607185860354828074168067402981877509120165232059524414510 +/- 5.69e-138]",
"independent_ball": "[0.39247886233804892872093954676923758479594302900108810517537059149455526079919548607185860354828074168067402981877509120165 +/- 4.57e-123]",
"accuracy_bits": 454
},
{
"lambda": "2/5",
"number": "0.6328104682494277693777625189711642154862935071434277411256695803440756946651627503003714382806477414",
"computed_ball": "[0.63281046824942776937776251897116421548629350714342774112566958034407569466516275030037143828064774140004068171977491621647380029905430202 +/- 4.75e-138]",
"independent_ball": "[0.63281046824942776937776251897116421548629350714342774112566958034407569466516275030037143828064774140004068171977491621647 +/- 6.05e-123]",
"accuracy_bits": 455
},
{
"lambda": "3/5",
"number": "0.8206693108890392471708282970762108247145385096619800188916236147690764816267109659970489064309416069",
"computed_ball": "[0.82066931088903924717082829707621082471453850966198001889162361476907648162671096599704890643094160685236630540522025230087675154285498920 +/- 5.67e-138]",
"independent_ball": "[0.82066931088903924717082829707621082471453850966198001889162361476907648162671096599704890643094160685236630540522025230088 +/- 5.47e-123]",
"accuracy_bits": 455
},
{
"lambda": "4/5",
"number": "0.9895033524980985422164804541665283262871682077089242159839924634034202876705092113444581650417615124",
"computed_ball": "[0.98950335249809854221648045416652832628716820770892421598399246340342028767050921134445816504176151242092028819933776844523730569151523849 +/- 8.16e-138]",
"independent_ball": "[0.98950335249809854221648045416652832628716820770892421598399246340342028767050921134445816504176151242092028819933776844524 +/- 4.91e-123]",
"accuracy_bits": 455
},
{
"lambda": "5",
"number": "1.962394311690244643604697733846187923979715145005440525876852957472776303995977430359293017741403708",
"computed_ball": "[1.9623943116902446436046977338461879239797151450054405258768529574727763039959774303592930177414037084033701490938754560082616029762207255 +/- 2.34e-137]",
"independent_ball": "[1.9623943116902446436046977338461879239797151450054405258768529574727763039959774303592930177414037084033701490938754560083 +/- 4.95e-122]",
"accuracy_bits": 454
},
{
"lambda": "5/2",
"number": "1.582026170623569423444406297427910538715733767858569352814173950860189236662906875750928595701619354",
"computed_ball": "[1.5820261706235694234444062974279105387157337678585693528141739508601892366629068757509285957016193535001017042994372905411845007476357551 +/- 5.26e-137]",
"independent_ball": "[1.5820261706235694234444062974279105387157337678585693528141739508601892366629068757509285957016193535001017042994372905412 +/- 2.11e-122]",
"accuracy_bits": 455
},
{
"lambda": "5/3",
"number": "1.367782184815065411951380495127018041190897516103300031486039357948460802711184943328414844051569345",
"computed_ball": "[1.36778218481506541195138049512701804119089751610330003148603935794846080271118494332841484405156934475394384234203375383479458590475831533 +/- 6.91e-138]",
"independent_ball": "[1.36778218481506541195138049512701804119089751610330003148603935794846080271118494332841484405156934475394384234203375383479 +/- 8.34e-123]",
"accuracy_bits": 455
},
{
"lambda": "5/4",
"number": "1.236879190622623177770600567708160407858960259636155269979990579254275359588136514180572706302201891",
"computed_ball": "[1.23687919062262317777060056770816040785896025963615526997999057925427535958813651418057270630220189052615036024917221055654663211439404811 +/- 7.04e-138]",
"independent_ball": "[1.23687919062262317777060056770816040785896025963615526997999057925427535958813651418057270630220189052615036024917221055655 +/- 6.14e-123]",
"accuracy_bits": 456
},
{
"lambda": "1/6",
"number": "0.3415025817467434728891245129191679404843597553320172556821620046790966807409416822805560806643209471",
"computed_ball": "[0.34150258174674347288912451291916794048435975533201725568216200467909668074094168228055608066432094714891558377939530131950019881294463977 +/- 6.19e-138]",
"independent_ball": "[0.34150258174674347288912451291916794048435975533201725568216200467909668074094168228055608066432094714891558377939530131950 +/- 2.08e-123]",
"accuracy_bits": 454
},
{
"lambda": "5/6",
"number": "1.020943933942957579676550201771256608967066931691579423328432117529160322285949574588015197906490766",
"computed_ball": "[1.02094393394295757967655020177125660896706693169157942332843211752916032228594957458801519790649076631602615828482940923050819671366148201 +/- 6.08e-138]",
"independent_ball": "[1.02094393394295757967655020177125660896706693169157942332843211752916032228594957458801519790649076631602615828482940923051 +/- 3.65e-123]",
"accuracy_bits": 456
},
{
"lambda": "6",
"number": "2.049015490480460837334747077515007642906158531992103534092972028074580084445650093683336483985925683",
"computed_ball": "[2.0490154904804608373347470775150076429061585319921035340929720280745800844456500936833364839859256828934935026763718079170011928776678386 +/- 5.23e-137]",
"independent_ball": "[2.0490154904804608373347470775150076429061585319921035340929720280745800844456500936833364839859256828934935026763718079170 +/- 1.25e-122]",
"accuracy_bits": 455
},
{
"lambda": "6/5",
"number": "1.225132720731549095611860242125507930760480318029895307994118541034992386743139489505618237487788920",
"computed_ball": "[1.22513272073154909561186024212550793076048031802989530799411854103499238674313948950561823748778891957923138994179529107660983605639377841 +/- 7.46e-138]",
"independent_ball": "[1.22513272073154909561186024212550793076048031802989530799411854103499238674313948950561823748778891957923138994179529107661 +/- 2.38e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/7",
"number": "0.3032631804979138170879793942343695288261454981645807120197316661023338672098610245481058223459002672",
"computed_ball": "[0.30326318049791381708797939423436952882614549816458071201973166610233386720986102454810582234590026715946808759307585877511288062961274275 +/- 5.83e-138]",
"independent_ball": "[0.30326318049791381708797939423436952882614549816458071201973166610233386720986102454810582234590026715946808759307585877511 +/- 4.49e-123]",
"accuracy_bits": 454
},
{
"lambda": "2/7",
"number": "0.5005626616257090172294659004680328405423410711896592633822339761853964057971061742676158069288294754",
"computed_ball": "[0.50056266162570901722946590046803284054234107118965926338223397618539640579710617426761580692882947537546800555404842948040812475623666130 +/- 4.28e-138]",
"independent_ball": "[0.50056266162570901722946590046803284054234107118965926338223397618539640579710617426761580692882947537546800555404842948041 +/- 3.46e-123]",
"accuracy_bits": 455
},
{
"lambda": "3/7",
"number": "0.6622673700319948320978434041525089535867688074558288199496967631116529828109722863631781149961938519",
"computed_ball": "[0.66226737003199483209784340415250895358676880745582881994969676311165298281097228636317811499619385194748595329163123806017711202741853762 +/- 7.63e-138]",
"independent_ball": "[0.66226737003199483209784340415250895358676880745582881994969676311165298281097228636317811499619385194748595329163123806018 +/- 4.48e-123]",
"accuracy_bits": 455
},
{
"lambda": "4/7",
"number": "0.7977079219388736369033973508867787424041470366945070888990319363133481854705356680677781674872368057",
"computed_ball": "[0.79770792193887363690339735088677874240414703669450708889903193631334818547053566806777816748723680572373552317303819433292824209930944786 +/- 3.95e-138]",
"independent_ball": "[0.79770792193887363690339735088677874240414703669450708889903193631334818547053566806777816748723680572373552317303819433293 +/- 3.35e-123]",
"accuracy_bits": 455
},
{
"lambda": "5/7",
"number": "0.9129714229104948235731398318791339639370337547477231212924136006263658371272371561029595082763401814",
"computed_ball": "[0.91297142291049482357313983187913396393703375474772312129241360062636583712723715610295950827634018136339822865302104591341244012188253689 +/- 9.09e-138]",
"independent_ball": "[0.91297142291049482357313983187913396393703375474772312129241360062636583712723715610295950827634018136339822865302104591341 +/- 4.05e-123]",
"accuracy_bits": 455
},
{
"lambda": "6/7",
"number": "1.045056560505760130423802924295318378046680692457434442244694113219146127921040629028000709399808188",
"computed_ball": "[1.0450565605057601304238029242953183780466806924574344422446941132191461279210406290280007093998081881995820588657398006586787173139910924 +/- 2.04e-137]",
"independent_ball": "[1.04505656050576013042380292429531837804668069245743444224469411321914612792104062902800070939980818819958205886573980065868 +/- 2.87e-123]",
"accuracy_bits": 455
},
{
"lambda": "7",
"number": "2.122842263485396719615855759640586701783018487152064984138121662716337070469027171836740756421301870",
"computed_ball": "[2.1228422634853967196158557596405867017830184871520649841381216627163370704690271718367407564213018701162766131515310114257901644072891993 +/- 6.71e-137]",
"independent_ball": "[2.1228422634853967196158557596405867017830184871520649841381216627163370704690271718367407564213018701162766131515310114258 +/- 2.10e-122]",
"accuracy_bits": 454
},
{
"lambda": "7/2",
"number": "1.751969315689981560303130651638114941898193749163807421837818916648887420289871609936655324250903164",
"computed_ball": "[1.7519693156899815603031306516381149418981937491638074218378189166488874202898716099366553242509031638141380194391695031814284366468283146 +/- 6.11e-137]",
"independent_ball": "[1.75196931568998156030313065163811494189819374916380742183781891664888742028987160993665532425090316381413801943916950318143 +/- 7.11e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/3",
"number": "1.545290530074654608228301276355854225035793884063600579882625780593856959892268668180748934991118988",
"computed_ball": "[1.5452905300746546082283012763558542250357938840636005798826257805938569598922686681807489349911189878774672243471395554737465947306432545 +/- 5.61e-137]",
"independent_ball": "[1.54529053007465460822830127635585422503579388406360057988262578059385695989226866818074893499111898787746722434713955547375 +/- 7.10e-123]",
"accuracy_bits": 455
},
{
"lambda": "7/4",
"number": "1.395988863393028864580945364051862799207257314215387405573305888548359324573437419118611793102664410",
"computed_ball": "[1.3959888633930288645809453640518627992072573142153874055733058885483593245734374191186117931026644100165371655528168400826244236737915338 +/- 5.14e-137]",
"independent_ball": "[1.39598886339302886458094536405186279920725731421538740557330588854835932457343741911861179310266441001653716555281684008262 +/- 7.24e-123]",
"accuracy_bits": 455
},
{
"lambda": "7/5",
"number": "1.278159992074692753002395764630787549511847256646812369809379040876912171978132018544143311586876254",
"computed_ball": "[1.27815999207469275300239576463078754951184725664681236980937904087691217197813201854414331158687625390875752011422946427877741617063555165 +/- 8.45e-138]",
"independent_ball": "[1.27815999207469275300239576463078754951184725664681236980937904087691217197813201854414331158687625390875752011422946427878 +/- 4.80e-123]",
"accuracy_bits": 455
},
{
"lambda": "7/6",
"number": "1.219232653923386818827770078344538107721127474533673515952143132089003815907880733866000827633109553",
"computed_ball": "[1.21923265392338681882777007834453810772112747453367351595214313208900381590788073386600082763310955289951240201002976743512517019965627445 +/- 7.90e-138]",
"independent_ball": "[1.21923265392338681882777007834453810772112747453367351595214313208900381590788073386600082763310955289951240201002976743513 +/- 6.68e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/8",
"number": "0.2733960883474763496439985167048740182095005480753890468114301634143098827321124375970679811877215424",
"computed_ball": "[0.27339608834747634964399851670487401820950054807538904681143016341430988273211243759706798118772154240799661323510506433187603211998317917 +/- 6.71e-138]",
"independent_ball": "[0.27339608834747634964399851670487401820950054807538904681143016341430988273211243759706798118772154240799661323510506433188 +/- 5.36e-123]",
"accuracy_bits": 454
},
{
"lambda": "3/8",
"number": "0.6037387280011130037438694016869341817446691274398957178477701168037361320102617762485821368493408133",
"computed_ball": "[0.60373872800111300374386940168693418174466912743989571784777011680373613201026177624858213684934081334972047233501442929769144124449227317 +/- 6.17e-138]",
"independent_ball": "[0.60373872800111300374386940168693418174466912743989571784777011680373613201026177624858213684934081334972047233501442929769 +/- 2.85e-123]",
"accuracy_bits": 455
},
{
"lambda": "5/8",
"number": "0.8390593737333581187655432580834227872424577536947794499049681279102210147658788612790377640872247004",
"computed_ball": "[0.83905937373335811876554325808342278724245775369477944990496812791022101476587886127903776408722470037211994315600700543445922229187587733 +/- 6.36e-138]",
"independent_ball": "[0.83905937373335811876554325808342278724245775369477944990496812791022101476587886127903776408722470037211994315600700543446 +/- 2.17e-123]",
"accuracy_bits": 455
},
{
"lambda": "7/8",
"number": "1.064235515467792470119874479048158447796986741805943691804334066863496673152860314583369749982668599",
"computed_ball": "[1.06423551546779247011987447904815844779698674180594369180433406686349667315286031458336974998266859883238007909250175005647182143921985095 +/- 7.13e-138]",
"independent_ball": "[1.06423551546779247011987447904815844779698674180594369180433406686349667315286031458336974998266859883238007909250175005647 +/- 3.23e-123]",
"accuracy_bits": 455
},
{
"lambda": "8",
"number": "2.187168706779810797151988133638992145676004384603112374491441307314479061856899500776543849501772339",
"computed_ball": "[2.1871687067798107971519881336389921456760043846031123744914413073144790618568995007765438495017723392639729058808405146550082569598654334 +/- 3.18e-137]",
"independent_ball": "[2.1871687067798107971519881336389921456760043846031123744914413073144790618568995007765438495017723392639729058808405146550 +/- 1.95e-122]",
"accuracy_bits": 454
},
{
"lambda": "8/3",
"number": "1.609969941336301343316985071165157817985784339839721914260720311476629685360698069996219031598242169",
"computed_ball": "[1.6099699413363013433169850711651578179857843398397219142607203114766296853606980699962190315982421689325879262267051447938438433186460618 +/- 3.17e-137]",
"independent_ball": "[1.60996994133630134331698507116515781798578433983972191426072031147662968536069806999621903159824216893258792622670514479384 +/- 7.59e-123]",
"accuracy_bits": 455
},
{
"lambda": "8/5",
"number": "1.342494997973372990024869212933476459587932405911647119847949004656353623625406178046460422539559521",
"computed_ball": "[1.34249499797337299002486921293347645958793240591164711984794900465635362362540617804646042253955952059539190904961120869513475566700140373 +/- 8.86e-138]",
"independent_ball": "[1.34249499797337299002486921293347645958793240591164711984794900465635362362540617804646042253955952059539190904961120869513 +/- 7.01e-123]",
"accuracy_bits": 455
},
{
"lambda": "8/7",
"number": "1.216269160534619965851285118912181083196556276349649933490667504986853340746126073809565428551621256",
"computed_ball": "[1.2162691605346199658512851189121810831965562763496499334906675049868533407461260738095654285516212558084343761057162857788249387876798297 +/- 5.15e-137]",
"independent_ball": "[1.21626916053461996585128511891218108319655627634964993349066750498685334074612607380956542855162125580843437610571628577882 +/- 6.55e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/9",
"number": "0.2493512839652767500564796714511129348857892120949519505391898796338723641924997115470100629393841343",
"computed_ball": "[0.24935128396527675005647967145111293488578921209495195053918987963387236419249971154701006293938413429171297635040740235689389859380723039 +/- 7.46e-138]",
"independent_ball": "[0.24935128396527675005647967145111293488578921209495195053918987963387236419249971154701006293938413429171297635040740235689 +/- 5.15e-123]",
"accuracy_bits": 452
},
{
"lambda": "2/9",
"number": "0.4174743860789968194020750943993439889582256770860189139570965106281924847112244228841393650859059354",
"computed_ball": "[0.41747438607899681940207509439934398895822567708601891395709651062819248471122442288413936508590593536885589900541176467376706393167197919 +/- 9.00e-138]",
"independent_ball": "[0.41747438607899681940207509439934398895822567708601891395709651062819248471122442288413936508590593536885589900541176467377 +/- 4.17e-123]",
"accuracy_bits": 454
},
{
"lambda": "4/9",
"number": "0.6804800993925869264221509963356909618108230339415405814798722057014516701633837282508483421510545576",
"computed_ball": "[0.68048009939258692642215099633569096181082303394154058147987220570145167016338372825084834215105455761194520701514497241126528746449212619 +/- 5.02e-138]",
"independent_ball": "[0.68048009939258692642215099633569096181082303394154058147987220570145167016338372825084834215105455761194520701514497241127 +/- 5.95e-123]",
"accuracy_bits": 455
},
{
"lambda": "5/9",
"number": "0.7864245985377298812759988261073736269503047930887905715233362049279536345282489105193064179517562592",
"computed_ball": "[0.78642459853772988127599882610737362695030479308879057152333620492795363452824891051930641795175625924863384576649880897038866588920799887 +/- 7.49e-138]",
"independent_ball": "[0.78642459853772988127599882610737362695030479308879057152333620492795363452824891051930641795175625924863384576649880897039 +/- 2.57e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/9",
"number": "0.9676604304977622230337412766053559890306620637851397786260987093230544407227649983321153830311653282",
"computed_ball": "[0.96766043049776222303374127660535598903066206378513977862609870932305444072276499833211538303116532819988652344135737147203543430617999125 +/- 8.54e-138]",
"independent_ball": "[0.96766043049776222303374127660535598903066206378513977862609870932305444072276499833211538303116532819988652344135737147204 +/- 5.80e-123]",
"accuracy_bits": 454
},
{
"lambda": "8/9",
"number": "1.079912814818776682631175095592650982767578729965294649436829568502097288276107011370458579944689488",
"computed_ball": "[1.0799128148187766826311750955926509827675787299652946494368295685020972882761070113704585799446894881794735825972839624746484855726754052 +/- 2.27e-137]",
"independent_ball": "[1.07991281481877668263117509559265098276757872996529464943682956850209728827610701137045857994468948817947358259728396247465 +/- 2.75e-123]",
"accuracy_bits": 455
},
{
"lambda": "9",
"number": "2.244161555687490750508317043060016413972102908854567554852708916704851277732497403923090566454457209",
"computed_ball": "[2.2441615556874907505083170430600164139721029088545675548527089167048512777324974039230905664544572086254167871536666212120450873442650735 +/- 4.65e-137]",
"independent_ball": "[2.2441615556874907505083170430600164139721029088545675548527089167048512777324974039230905664544572086254167871536666212120 +/- 5.64e-122]",
"accuracy_bits": 454
},
{
"lambda": "9/2",
"number": "1.878634737355485687309337924797047950312015546887085112806934297826866181200509902978627142886576709",
"computed_ball": "[1.8786347373554856873093379247970479503120155468870851128069342978268661812005099029786271428865767091598515455243529410319517876925239064 +/- 4.63e-137]",
"independent_ball": "[1.87863473735548568730933792479704795031201554688708511280693429782686618120050990297862714288657670915985154552435294103195 +/- 7.41e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/4",
"number": "1.531080223633320584449839741755304664074351826368466308329712462828266257867613388564408769839872755",
"computed_ball": "[1.5310802236333205844498397417553046640743518263684663083297124628282662578676133885644087698398727546268767157840761879253468967951072839 +/- 3.75e-137]",
"independent_ball": "[1.53108022363332058444983974175530466407435182636846630832971246282826625786761338856440876983987275462687671578407618792535 +/- 5.88e-123]",
"accuracy_bits": 455
},
{
"lambda": "9/5",
"number": "1.415564277367913786296797886993272528510548627559823028742005168870316542150848038934751552313161267",
"computed_ball": "[1.4155642773679137862967978869932725285105486275598230287420051688703165421508480389347515523131612666475409223796978561466995986005743980 +/- 4.69e-137]",
"independent_ball": "[1.41556427736791378629679788699327252851054862755982302874200516887031654215084803893475155231316126664754092237969785614670 +/- 2.62e-123]",
"accuracy_bits": 455
},
{
"lambda": "9/7",
"number": "1.244134839211408572471953069921171985896565510580894001090698340558212852357840712141291206754355422",
"computed_ball": "[1.2441348392114085724719530699211719858965655105808940010906983405582128523578407121412912067543554219712826729960309061783312726793742745 +/- 4.70e-137]",
"independent_ball": "[1.24413483921140857247195306992117198589656551058089400109069834055821285235784071214129120675435542197128267299603090617833 +/- 2.88e-123]",
"accuracy_bits": 455
},
{
"lambda": "9/8",
"number": "1.214901916671123767960071982541732355613526071210956480616433264564859449310620387791765902437775674",
"computed_ball": "[1.21490191667112376796007198254173235561352607121095648061643326456485944931062038779176590243777567420190778042194445778397954626925983087 +/- 7.93e-138]",
"independent_ball": "[1.21490191667112376796007198254173235561352607121095648061643326456485944931062038779176590243777567420190778042194445778398 +/- 1.84e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/10",
"number": "0.2295322051740821208266533640334123075718977967563525625689560671215380245261282757929123351054623012",
"computed_ball": "[0.2295322051740821208266533640334123075718977967563525625689560671215380245261282757929123351054623012067708173964914181094190100640278567 +/- 4.24e-137]",
"independent_ball": "[0.22953220517408212082665336403341230757189779675635256256895606712153802452612827579291233510546230120677081739649141810942 +/- 2.10e-123]",
"accuracy_bits": 452
},
{
"lambda": "3/10",
"number": "0.5177285985609940850100116562129045178225269706459143904152757151642602086440698521231636301790216324",
"computed_ball": "[0.5177285985609940850100116562129045178225269706459143904152757151642602086440698521231636301790216324089225753721878609164521429181937436 +/- 1.08e-137]",
"independent_ball": "[0.51772859856099408501001165621290451782252697064591439041527571516426020864406985212316363017902163240892257537218786091645 +/- 3.27e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/10",
"number": "0.9010878109417681888997906278239942556383993006214863560823746171345513355078062214223248194814914083",
"computed_ball": "[0.9010878109417681888997906278239942556383993006214863560823746171345513355078062214223248194814914082784806432422140530011988084417296770 +/- 3.33e-137]",
"independent_ball": "[0.90108781094176818889979062782399425563839930062148635608237461713455133550780622142232481948149140827848064324221405300120 +/- 2.30e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/10",
"number": "1.093003865206755457425050708889513212888138863190835438289411620419569327382049419120191832307704796",
"computed_ball": "[1.09300386520675545742505070888951321288813886319083543828941162041956932738204941912019183230770479612333984145655579127498516149038975945 +/- 9.28e-138]",
"independent_ball": "[1.09300386520675545742505070888951321288813886319083543828941162041956932738204941912019183230770479612333984145655579127499 +/- 5.95e-123]",
"accuracy_bits": 455
},
{
"lambda": "10",
"number": "2.295322051740821208266533640334123075718977967563525625689560671215380245261282757929123351054623012",
"computed_ball": "[2.295322051740821208266533640334123075718977967563525625689560671215380245261282757929123351054623012067708173964914181094190100640278567 +/- 4.11e-136]",
"independent_ball": "[2.2953220517408212082665336403341230757189779675635256256895606712153802452612827579291233510546230120677081739649141810942 +/- 2.10e-122]",
"accuracy_bits": 453
},
{
"lambda": "10/3",
"number": "1.725761995203313616700038854043015059408423235486381301384252383880867362146899507077212100596738775",
"computed_ball": "[1.7257619952033136167000388540430150594084232354863813013842523838808673621468995070772121005967387746964085845739595363881738097273124787 +/- 3.53e-137]",
"independent_ball": "[1.72576199520331361670003885404301505940842323548638130138425238388086736214689950707721210059673877469640858457395953638817 +/- 7.56e-123]",
"accuracy_bits": 454
},
{
"lambda": "10/7",
"number": "1.287268301345383126999700896891420365197713286602123365831963738763644765011151744889035456402130583",
"computed_ball": "[1.2872683013453831269997008968914203651977132866021233658319637387636447650111517448890354564021305832549723474888772185731411549167566815 +/- 4.31e-137]",
"independent_ball": "[1.28726830134538312699970089689142036519771328660212336583196373876364476501115174488903545640213058325497234748887721857314 +/- 2.76e-123]",
"accuracy_bits": 455
},
{
"lambda": "10/9",
"number": "1.214448739118617174916723009877236903209043181323150486988235133799521474868943799022435369230783107",
"computed_ball": "[1.2144487391186171749167230098772369032090431813231504869882351337995214748689437990224353692307831068037109349517286569722057349893219549 +/- 5.54e-137]",
"independent_ball": "[1.21444873911861717491672300987723690320904318132315048698823513379952147486894379902243536923078310680371093495172865697221 +/- 5.50e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/11",
"number": "0.2128848370316622964047862582564087097497232619892527260250885813106400760554219336861106974318639311",
"computed_ball": "[0.21288483703166229640478625825640870974972326198925272602508858131064007605542193368611069743186393109018779325539118115673419222126423773 +/- 9.12e-138]",
"independent_ball": "[0.21288483703166229640478625825640870974972326198925272602508858131064007605542193368611069743186393109018779325539118115673 +/- 5.22e-123]",
"accuracy_bits": 452
},
{
"lambda": "2/11",
"number": "0.3599326720695457642660915537896074607006677980453488272049703803947905512443699088696590142730597609",
"computed_ball": "[0.35993267206954576426609155378960746070066779804534882720497038039479055124436990886965901427305976085327851586569103736930999636552181010 +/- 6.72e-138]",
"independent_ball": "[0.35993267206954576426609155378960746070066779804534882720497038039479055124436990886965901427305976085327851586569103736931 +/- 1.02e-123]",
"accuracy_bits": 453
},
{
"lambda": "3/11",
"number": "0.4833654852615073827591677879978701123746020758912110291133013886967679504735265333949087263351770034",
"computed_ball": "[0.48336548526150738275916778799787011237460207589121102911330138869676795047352653339490872633517700343426439483413550708834660361363580457 +/- 6.77e-138]",
"independent_ball": "[0.48336548526150738275916778799787011237460207589121102911330138869676795047352653339490872633517700343426439483413550708835 +/- 4.41e-123]",
"accuracy_bits": 453
},
{
"lambda": "4/11",
"number": "0.5920065982762652351762344086536526524597823318015489567324989436866880582643138348422299192524065371",
"computed_ball": "[0.59200659827626523517623440865365265245978233180154895673249894368668805826431383484222991925240653708448931922898796987237042522072525924 +/- 8.44e-138]",
"independent_ball": "[0.59200659827626523517623440865365265245978233180154895673249894368668805826431383484222991925240653708448931922898796987237 +/- 1.45e-123]",
"accuracy_bits": 454
},
{
"lambda": "5/11",
"number": "0.6930088049919366626072629573765724598068358902468873751994508176222509492015998997057371736529199150",
"computed_ball": "[0.6930088049919366626072629573765724598068358902468873751994508176222509492015998997057371736529199150377520900877975057754913412769450306 +/- 4.02e-137]",
"independent_ball": "[0.69300880499193666260726295737657245980683589024688737519945081762225094920159989970573717365291991503775209008779750577549 +/- 2.37e-123]",
"accuracy_bits": 454
},
{
"lambda": "6/11",
"number": "0.7800264867009780898612427835365244272161623897900277151396498523706780083322517688039898361534103308",
"computed_ball": "[0.78002648670097808986124278353652442721616238979002771513964985237067800833225176880398983615341033079208691456058154347156498377843816849 +/- 8.21e-138]",
"independent_ball": "[0.78002648670097808986124278353652442721616238979002771513964985237067800833225176880398983615341033079208691456058154347156 +/- 6.01e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/11",
"number": "0.8485462302419524124616179618281870483882567932780297550670993311876470953836303854504827357676997797",
"computed_ball": "[0.8485462302419524124616179618281870483882567932780297550670993311876470953836303854504827357676997797293390743731345411379361854528147015 +/- 3.20e-137]",
"independent_ball": "[0.84854623024195241246161796182818704838825679327802975506709933118764709538363038545048273576769977972933907437313454113794 +/- 4.83e-123]",
"accuracy_bits": 454
},
{
"lambda": "8/11",
"number": "0.9234023183680665390776994899645236161983246965281193346361653799828683535145607115718707855502444184",
"computed_ball": "[0.9234023183680665390776994899645236161983246965281193346361653799828683535145607115718707855502444184499154604508844007713269952948005762 +/- 9.83e-138]",
"independent_ball": "[0.92340231836806653907769948996452361619832469652811933463616537998286835351456071157187078555024441844991546045088440077133 +/- 4.02e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/11",
"number": "1.005229025155800123620094503898024720844291318006964952500354120928274903997521970265867657168799117",
"computed_ball": "[1.00522902515580012362009450389802472084429131800696495250035412092827490399752197026586765716879911689178299752269222482487190750020994248 +/- 8.65e-138]",
"independent_ball": "[1.00522902515580012362009450389802472084429131800696495250035412092827490399752197026586765716879911689178299752269222482487 +/- 2.93e-123]",
"accuracy_bits": 455
},
{
"lambda": "10/11",
"number": "1.104124156868878657096252145831308953904103050623808322817454335300486167396456303238820516774490728",
"computed_ball": "[1.1041241568688786570962521458313089539041030506238083228174543353004861673964563032388205167744907283661566529069419051085692202182413311 +/- 1.05e-137]",
"independent_ball": "[1.10412415686887865709625214583130895390410305062380832281745433530048616739645630323882051677449072836615665290694190510857 +/- 1.79e-123]",
"accuracy_bits": 455
},
{
"lambda": "11",
"number": "2.341733207348285260452648840820495807246955881881779986275974394417040836609641270547217671750503242",
"computed_ball": "[2.3417332073482852604526488408204958072469558818817799862759743944170408366096412705472176717505032419920657258093029927240761144339066150 +/- 6.78e-137]",
"independent_ball": "[2.3417332073482852604526488408204958072469558818817799862759743944170408366096412705472176717505032419920657258093029927241 +/- 3.50e-122]",
"accuracy_bits": 453
},
{
"lambda": "11/2",
"number": "1.979629696382501703463503545842841033853672889249418549627337092171348031844034498783124578501828685",
"computed_ball": "[1.9796296963825017034635035458428410338536728892494185496273370921713480318440344987831245785018286846930318372613007055312049800103699556 +/- 7.92e-137]",
"independent_ball": "[1.9796296963825017034635035458428410338536728892494185496273370921713480318440344987831245785018286846930318372613007055312 +/- 1.06e-122]",
"accuracy_bits": 453
},
{
"lambda": "11/3",
"number": "1.772340112625527070116948555992190412040207611601107106748771758554815818402930622447998663228982346",
"computed_ball": "[1.7723401126255270701169485559921904120402076116011071067487717585548158184029306224479986632289823459256361143918301926572708799166646168 +/- 6.39e-137]",
"independent_ball": "[1.77234011262552707011694855599219041204020761160110710674877175855481581840293062244799866322898234592563611439183019265727 +/- 4.63e-123]",
"accuracy_bits": 453
},
{
"lambda": "11/4",
"number": "1.628018145259729396734644623797544794264401412454259631014372095138392160226863045816132277944117977",
"computed_ball": "[1.6280181452597293967346446237975447942644014124542596310143720951383921602268630458161322779441179769823456278797169171490186693569944629 +/- 3.19e-137]",
"independent_ball": "[1.62801814525972939673464462379754479426440141245425963101437209513839216022686304581613227794411797698234562787971691714902 +/- 4.11e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/5",
"number": "1.524619370982260657735978506228459411575038958543152225438791798768952088243519779352621782036423813",
"computed_ball": "[1.5246193709822606577359785062284594115750389585431522254387917987689520882435197793526217820364238130830545981931545127060809508092790674 +/- 1.97e-137]",
"independent_ball": "[1.52461937098226065773597850622845941157503895854315222543879179876895208824351977935262178203642381308305459819315451270608 +/- 3.20e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/6",
"number": "1.430048558951793164745611769816961449896297714615050811089358062679576348609128242807314699614585606",
"computed_ball": "[1.4300485589517931647456117698169614498962977146150508110893580626795763486091282428073146996145856064521593433610661630312024702604699756 +/- 4.31e-137]",
"independent_ball": "[1.43004855895179316474561176981696144989629771461505081108935806267957634860912824280731469961458560645215934336106616303120 +/- 4.35e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/7",
"number": "1.333429790380210933868256797158579647467260675151189615105441806152016864174276319993615727634956797",
"computed_ball": "[1.3334297903802109338682567971585796474672606751511896151054418061520168641742763199936157276349567967175328311577828503596140057115659595 +/- 5.01e-137]",
"independent_ball": "[1.33342979038021093386825679715857964746726067515118961510544180615201686417427631999361572763495679671753283115778285035961 +/- 5.62e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/8",
"number": "1.269678187756091491231836798701219972272696457726164085124727397476443986082520978411322330131586075",
"computed_ball": "[1.26967818775609149123183679870121997227269645772616408512472739747644398608252097841132233013158607536863375811996605106057461853035079227 +/- 9.26e-138]",
"independent_ball": "[1.26967818775609149123183679870121997227269645772616408512472739747644398608252097841132233013158607536863375811996605106057 +/- 6.03e-123]",
"accuracy_bits": 455
},
{
"lambda": "11/9",
"number": "1.228613252968200151091226615875363547698578277564068275278210592245669327108082408102727136539643365",
"computed_ball": "[1.2286132529682001510912266158753635476985782775640682752782105922456693271080824081027271365396433650899569969721793858970656647224788186 +/- 2.40e-137]",
"independent_ball": "[1.22861325296820015109122661587536354769857827756406827527821059224566932710808240810272713653964336508995699697217938589707 +/- 5.57e-123]",
"accuracy_bits": 455
},
{
"lambda": "11/10",
"number": "1.214536572555766522805877360414439849294513355686189155099199768830534784136101933562702568451939801",
"computed_ball": "[1.2145365725557665228058773604144398492945133556861891550991997688305347841361019335627025684519398012027723181976360956194261422400654642 +/- 2.16e-137]",
"independent_ball": "[1.21453657255576652280587736041443984929451335568618915509919976883053478413610193356270256845193980120277231819763609561943 +/- 4.97e-123]",
"accuracy_bits": 455
},
{
"lambda": "1/12",
"number": "0.1986834979551244917197802474400802153245308789816865042614401800402613418551751346449531718254468345",
"computed_ball": "[0.19868349795512449171978024744008021532453087898168650426144018004026134185517513464495317182544683445371815728539179733904610680829082819 +/- 7.25e-138]",
"independent_ball": "[0.19868349795512449171978024744008021532453087898168650426144018004026134185517513464495317182544683445371815728539179733905 +/- 4.82e-123]",
"accuracy_bits": 452
},
{
"lambda": "5/12",
"number": "0.6478955883615461935992763458790797701821390956372857003378599767872238505270701025425419628614310948",
"computed_ball": "[0.6478955883615461935992763458790797701821390956372857003378599767872238505270701025425419628614310947698246950054179786147818937459471828 +/- 1.08e-137]",
"independent_ball": "[0.64789558836154619359927634587907977018213909563728570033785997678722385052707010254254196286143109476982469500541797861478 +/- 2.83e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/12",
"number": "0.8057358435149588800219006101195249831078374542968834059556803978022605333701240679967310332341858724",
"computed_ball": "[0.80573584351495888002190061011952498310783745429688340595568039780226053337012406799673103323418587244185359609432026367830765789022127959 +/- 8.79e-138]",
"independent_ball": "[0.80573584351495888002190061011952498310783745429688340595568039780226053337012406799673103323418587244185359609432026367831 +/- 3.27e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/12",
"number": "1.113704345970298247185623938671705459312387950627124613410576555947861201987052056803250038231846296",
"computed_ball": "[1.1137043459702982471856239386717054593123879506271246134105765559478612019870520568032500382318462955707587113433586751842310713260294461 +/- 3.08e-137]",
"independent_ball": "[1.11370434597029824718562393867170545931238795062712461341057655594786120198705205680325003823184629557075871134335867518423 +/- 2.01e-123]",
"accuracy_bits": 455
},
{
"lambda": "12",
"number": "2.384201975461493900637362969280962583894370547780238051137282160483136102262101615739438061905362013",
"computed_ball": "[2.3842019754614939006373629692809625838943705477802380511372821604831361022621016157394380619053620134446178874247015680685532816994899383 +/- 9.19e-137]",
"independent_ball": "[2.3842019754614939006373629692809625838943705477802380511372821604831361022621016157394380619053620134446178874247015680686 +/- 5.78e-122]",
"accuracy_bits": 453
},
{
"lambda": "12/5",
"number": "1.554949412067710864638263230109791448437133829529485680810863944289337241264968246102100710867434627",
"computed_ball": "[1.5549494120677108646382632301097914484371338295294856808108639442893372412649682461021007108674346274475792680130031486754765449902732387 +/- 4.64e-137]",
"independent_ball": "[1.55494941206771086463826323010979144843713382952948568081086394428933724126496824610210071086743462744757926801300314867548 +/- 5.68e-123]",
"accuracy_bits": 454
},
{
"lambda": "12/7",
"number": "1.381261446025643794323258188776328542470578493080371553066880681946732342920212687994396056972890067",
"computed_ball": "[1.3812614460256437943232581887763285424705784930803715530668806819467323429202126879943960569728900670431775933045490234485274135260936222 +/- 5.34e-137]",
"independent_ball": "[1.38126144602564379432325818877632854247057849308037155306688068194673234292021268799439605697289006704317759330454902344853 +/- 4.17e-123]",
"accuracy_bits": 454
},
{
"lambda": "12/11",
"number": "1.214950195603961724202498842187315046522605037047772305538810788306757674894965880149000041707468686",
"computed_ball": "[1.2149501956039617242024988421873150465226050370477723055388107883067576748949658801490000417074686860771913214654821911100702596283957594 +/- 1.58e-137]",
"independent_ball": "[1.21495019560396172420249884218731504652260503704777230553881078830675767489496588014900004170746868607719132146548219111007 +/- 1.29e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/13",
"number": "0.1864112103177554873877635004235692507611095734062426309068821600700501499398337103078739699176656344",
"computed_ball": "[0.18641121031775548738776350042356925076110957340624263090688216007005014993983371030787396991766563441669386530639550744084526992941869340 +/- 8.14e-138]",
"independent_ball": "[0.18641121031775548738776350042356925076110957340624263090688216007005014993983371030787396991766563441669386530639550744085 +/- 5.59e-123]",
"accuracy_bits": 452
},
{
"lambda": "2/13",
"number": "0.3174800380064651686100422519499578826228318475203552243990032582581469933145741076505324970109367137",
"computed_ball": "[0.3174800380064651686100422519499578826228318475203552243990032582581469933145741076505324970109367136522322412595127353351062885909081811 +/- 1.33e-137]",
"independent_ball": "[0.31748003800646516861004225194995788262283184752035522439900325825814699331457410765053249701093671365223224125951273533511 +/- 4.57e-123]",
"accuracy_bits": 453
},
{
"lambda": "3/13",
"number": "0.4288296117186167326551223973795831848015525509315017315073910983282143605073096381252452525809634836",
"computed_ball": "[0.42882961171861673265512239737958318480155255093150173150739109832821436050730963812524525258096348356566844093349958344294643718839952485 +/- 9.85e-138]",
"independent_ball": "[0.42882961171861673265512239737958318480155255093150173150739109832821436050730963812524525258096348356566844093349958344295 +/- 4.42e-123]",
"accuracy_bits": 453
},
{
"lambda": "4/13",
"number": "0.5279397314041999754366187718055926341965767296910093200204854609785593486990399964080037543436328926",
"computed_ball": "[0.5279397314041999754366187718055926341965767296910093200204854609785593486990399964080037543436328926191436719046441978012497700649930038 +/- 1.33e-137]",
"independent_ball": "[0.52793973140419997543661877180559263419657672969100932002048546097855934869903999640800375434363289261914367190464419780125 +/- 1.09e-123]",
"accuracy_bits": 454
},
{
"lambda": "5/13",
"number": "0.6130954276977901051739995118791467439491734900986048974532541937610817140313092800655580630467278258",
"computed_ball": "[0.6130954276977901051739995118791467439491734900986048974532541937610817140313092800655580630467278257551259346899467552223248779068111637 +/- 4.04e-137]",
"independent_ball": "[0.61309542769779010517399951187914674394917349009860489745325419376108171403130928006555806304672782575512593468994675522232 +/- 5.75e-123]",
"accuracy_bits": 454
},
{
"lambda": "6/13",
"number": "0.7022272344746209038686346448733356193227218889374651475875026235549883768934614975999288135460315011",
"computed_ball": "[0.7022272344746209038686346448733356193227218889374651475875026235549883768934614975999288135460315011272294808635702464412022350942046213 +/- 4.09e-137]",
"independent_ball": "[0.70222723447462090386863464487333561932272188893746514758750262355498837689346149759992881354603150112722948086357024644120 +/- 3.10e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/13",
"number": "0.7760640923730450805412911053236428898957054021171183189458833400176518899553770669906116161205515534",
"computed_ball": "[0.7760640923730450805412911053236428898957054021171183189458833400176518899553770669906116161205515533608062592464517737878775807539875796 +/- 1.06e-137]",
"independent_ball": "[0.77606409237304508054129110532364288989570540211711831894588334001765188995537706699061161612055155336080625924645177378788 +/- 3.28e-123]",
"accuracy_bits": 454
},
{
"lambda": "8/13",
"number": "0.8307709825924433497251756773924860495334179202071342291249531174407680059243042076931938878199406818",
"computed_ball": "[0.8307709825924433497251756773924860495334179202071342291249531174407680059243042076931938878199406817804627441130714132605445769223456853 +/- 3.32e-137]",
"independent_ball": "[0.83077098259244334972517567739248604953341792020713422912495311744076800592430420769319388781994068178046274411307141326054 +/- 5.45e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/13",
"number": "0.8952023925102328024158229351526313944219497449045019882457444676183787641245889705404123079677266678",
"computed_ball": "[0.8952023925102328024158229351526313944219497449045019882457444676183787641245889705404123079677266677846257741109135942807144287579653883 +/- 4.74e-137]",
"independent_ball": "[0.89520239251023280241582293515263139442194974490450198824574446761837876412458897054041230796772666778462577411091359428071 +/- 5.30e-123]",
"accuracy_bits": 454
},
{
"lambda": "10/13",
"number": "0.9599824867186070459094306254077176517227577792807404726440403121850790151116009637599720234834769523",
"computed_ball": "[0.95998248671860704590943062540771765172275777928074047264404031218507901511160096375997202348347695231608382575283039053345463522605201438 +/- 9.22e-138]",
"independent_ball": "[0.95998248671860704590943062540771765172275777928074047264404031218507901511160096375997202348347695231608382575283039053345 +/- 5.50e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/13",
"number": "1.033078267364116525446971324761759493255341607551714199379815724341110847113966591339520734327023835",
"computed_ball": "[1.0330782673641165254469713247617594932553416075517141993798157243411108471139665913395207343270238345932109431495621953892470951914300983 +/- 5.58e-137]",
"independent_ball": "[1.03307826736411652544697132476175949325534160755171419937981572434111084711396659133952073432702383459321094314956219538925 +/- 3.76e-123]",
"accuracy_bits": 455
},
{
"lambda": "12/13",
"number": "1.122055656627711518463918611392930113108070181475435330865485413465713898798670555541146887322618867",
"computed_ball": "[1.1220556566277115184639186113929301131080701814754353308654854134657138987986705555411468873226188666723996411133998773341609168725654131 +/- 2.82e-137]",
"independent_ball": "[1.122055656627711518463918611392930113108070181475435330865485413465713898798670555541146887322618866672399641113399877334161 +/- 9.36e-124]",
"accuracy_bits": 455
},
{
"lambda": "13",
"number": "2.423345734130821336040925505506400259894424454281154201789468080910651949217838234002361608929653247",
"computed_ball": "[2.4233457341308213360409255055064002598944244542811542017894680809106519492178382340023616089296532474170202489831415967309885090824430142 +/- 9.23e-137]",
"independent_ball": "[2.4233457341308213360409255055064002598944244542811542017894680809106519492178382340023616089296532474170202489831415967310 +/- 2.26e-122]",
"accuracy_bits": 452
},
{
"lambda": "13/2",
"number": "2.063620247042023595965274637674726237048407008882308958593521178677955456544731699728461230571088639",
"computed_ball": "[2.0636202470420235959652746376747262370484070088823089585935211786779554565447316997284612305710886387395095681868327796781908758409031771 +/- 5.48e-137]",
"independent_ball": "[2.06362024704202359596527463767472623704840700888230895859352117867795545654473169972846123057108863873950956818683277967819 +/- 6.50e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/3",
"number": "1.858261650780672508172197055311527134140061054036507503198694759422262228865008431876062761184175095",
"computed_ball": "[1.8582616507806725081721970553115271341400610540365075031986947594222622288650084318760627611841750954512299107118315282527678944830646077 +/- 5.93e-137]",
"independent_ball": "[1.85826165078067250817219705531152713414006105403650750319869475942226222886500843187606276118417509545122991071183152825277 +/- 5.80e-123]",
"accuracy_bits": 453
},
{
"lambda": "13/4",
"number": "1.715804127063649920169011008368176061138874371495780290066577748180317883271879988326012201616806901",
"computed_ball": "[1.7158041270636499201690110083681760611388743714957802900665777481803178832718799883260122016168069010122169336900936428540617527112272623 +/- 4.88e-137]",
"independent_ball": "[1.71580412706364992016901100836817606113887437149578029006657774818031788327187998832601220161680690101221693369009364285406 +/- 4.57e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/5",
"number": "1.594048112014254273452398730885781534267851074256372733378460903778812456481404128170450963921492347",
"computed_ball": "[1.5940481120142542734523987308857815342678510742563727333784609037788124564814041281704509639214923469633274301938615635780446825577090255 +/- 5.05e-137]",
"independent_ball": "[1.59404811201425427345239873088578153426785107425637273337846090377881245648140412817045096392149234696332743019386156357804 +/- 6.93e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/6",
"number": "1.521492341361678625048708397225560508532564092697841153106255684369141483269166578133179096016401586",
"computed_ball": "[1.5214923413616786250487083972255605085325640926978411531062556843691414832691665781331790960164015857756638752044022006226048427041100129 +/- 2.77e-137]",
"independent_ball": "[1.52149234136167862504870839722556050853256409269784115310625568436914148326916657813317909601640158577566387520440220062260 +/- 6.72e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/7",
"number": "1.441261885835655149576683481315336795520595746788934020899497631461353509917128838696850144223881456",
"computed_ball": "[1.4412618858356551495766834813153367955205957467889340208994976314613535099171288386968501442238814562414973386005532941774869356859769335 +/- 6.25e-137]",
"independent_ball": "[1.44126188583565514957668348131533679552059574678893402089949763146135350991712883869685014422388145624149733860055329417749 +/- 4.65e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/8",
"number": "1.350002846712720443303410475762789830491804120336593122328048815841248009626994337501440067707403608",
"computed_ball": "[1.3500028467127204433034104757627898304918041203365931223280488158412480096269943375014400677074036078932519591837410465483849374988117386 +/- 4.04e-137]",
"independent_ball": "[1.35000284671272044330341047576278983049180412033659312232804881584124800962699433750144006770740360789325195918374104654838 +/- 6.35e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/9",
"number": "1.293070122514780714600633128553800903053927409306502871910519786559880437068850735225040000397827409",
"computed_ball": "[1.2930701225147807146006331285538009030539274093065028719105197865598804370688507352250400003978274090222372292713196361832541748726166719 +/- 4.47e-137]",
"independent_ball": "[1.29307012251478071460063312855380090305392740930650287191051978655988043706885073522504000039782740902223722927131963618325 +/- 5.43e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/10",
"number": "1.247977232734189159682259813030032947239585113064962614437252405840602719645081252887963630528520038",
"computed_ball": "[1.2479772327341891596822598130300329472395851130649626144372524058406027196450812528879636305285200380109089734786795076934910257938676187 +/- 1.84e-137]",
"independent_ball": "[1.24797723273418915968225981303003294723958511306496261443725240584060271964508125288796363052852003801090897347867950769349 +/- 2.15e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/11",
"number": "1.220910679612137711891875201991170310210858263470207690176145856039494637498324153401251776931937259",
"computed_ball": "[1.2209106796121377118918752019911703102108582634702076901761458560394946374983241534012517769319372590647038419040280490963829306807810253 +/- 2.96e-137]",
"independent_ball": "[1.22091067961213771189187520199117031021085826347020769017614585603949463749832415340125177693193725906470384190402804909638 +/- 3.96e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/12",
"number": "1.215560294680020811669245162342340955867076029931721608437609197921190057031893101836242461266170439",
"computed_ball": "[1.2155602946800208116692451623423409558670760299317216084376091979211900570318931018362424612661704388950996112061832004453409932786125308 +/- 5.09e-137]",
"independent_ball": "[1.21556029468002081166924516234234095586707602993172160843760919792119005703189310183624246126617043889509961120618320044534 +/- 1.93e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/14",
"number": "0.1756890971640768001065552180892604403210351989242861452745743110413016815030817083993031436817854453",
"computed_ball": "[0.1756890971640768001065552180892604403210351989242861452745743110413016815030817083993031436817854452787943521489986916932532189540195841 +/- 5.30e-137]",
"independent_ball": "[0.17568909716407680010655521808926044032103519892428614527457431104130168150308170839930314368178544527879435214899869169325 +/- 4.03e-123]",
"accuracy_bits": 452
},
{
"lambda": "3/14",
"number": "0.4059987519668340843762003116267605858336383997647581505495186901339543538225627184514168891883516556",
"computed_ball": "[0.40599875196683408437620031162676058583363839976475815054951869013395435382256271845141688918835165555371316498571923948470265453528650072 +/- 9.15e-138]",
"independent_ball": "[0.40599875196683408437620031162676058583363839976475815054951869013395435382256271845141688918835165555371316498571923948470 +/- 3.46e-123]",
"accuracy_bits": 453
},
{
"lambda": "5/14",
"number": "0.5859446301043568389763875580968716929566471035641710801561783445190246189802754572658540985794146188",
"computed_ball": "[0.5859446301043568389763875580968716929566471035641710801561783445190246189802754572658540985794146187629078277279302274704117647218973714 +/- 2.20e-137]",
"independent_ball": "[0.58594463010435683897638755809687169295664710356417108015617834451902461898027545726585409857941461876290782772793022747041 +/- 2.57e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/14",
"number": "0.8543971613056698403266884564908946556672790432200678192468863201157579336636176260693269690459122168",
"computed_ball": "[0.8543971613056698403266884564908946556672790432200678192468863201157579336636176260693269690459122167938940471616346644518082525026910256 +/- 5.21e-137]",
"independent_ball": "[0.85439716130566984032668845649089465566727904322006781924688632011575793366361762606932696904591221679389404716163466445181 +/- 2.54e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/14",
"number": "0.9746598969669052127298262959491491812843652344707725665283020173982828422190905028448774831369532060",
"computed_ball": "[0.9746598969669052127298262959491491812843652344707725665283020173982828422190905028448774831369532060324065133404733230656352364287024749 +/- 4.63e-137]",
"independent_ball": "[0.97465989696690521272982629594914918128436523447077256652830201739828284221909050284487748313695320603240651334047332306564 +/- 5.56e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/14",
"number": "1.129409107938307238471199294737535058869641272956191750157731019625530404557642738649303829027147873",
"computed_ball": "[1.1294091079383072384711992947375350588696412729561917501577310196255304045576427386493038290271478734985680846362590793483830460684829179 +/- 3.68e-137]",
"independent_ball": "[1.129409107938307238471199294737535058869641272956191750157731019625530404557642738649303829027147873498568084636259079348383 +/- 8.48e-124]",
"accuracy_bits": 454
},
{
"lambda": "14",
"number": "2.459647360297075201491773053249646164494492784940006033844040354578223541043143917590244011544996234",
"computed_ball": "[2.459647360297075201491773053249646164494492784940006033844040354578223541043143917590244011544996233903120930085981683705545065356274178 +/- 1.36e-136]",
"independent_ball": "[2.4596473602970752014917730532496461644944927849400060338440403545782235410431439175902440115449962339031209300859816837055 +/- 5.63e-122]",
"accuracy_bits": 452
},
{
"lambda": "14/3",
"number": "1.894660842511892393755601454258216067223645865568871369231087220625120317838626019439945482878974393",
"computed_ball": "[1.8946608425118923937556014542582160672236458655688713692310872206251203178386260194399454828789743925839947699333564509286123878313370034 +/- 8.13e-137]",
"independent_ball": "[1.89466084251189239375560145425821606722364586556887136923108722062512031783862601943994548287897439258399476993335645092861 +/- 6.14e-123]",
"accuracy_bits": 453
},
{
"lambda": "14/5",
"number": "1.640644964292199149133885162671240740278611889979679024437299364653268933144771280344391476022360933",
"computed_ball": "[1.6406449642921991491338851626712407402786118899796790244372993646532689331447712803443914760223609325361419176382046369171529412213126399 +/- 4.05e-137]",
"independent_ball": "[1.64064496429219914913388516267124074027861188997967902443729936465326893314477128034439147602236093253614191763820463691715 +/- 5.19e-123]",
"accuracy_bits": 454
},
{
"lambda": "14/9",
"number": "1.329062250919930862730404265652502797704656289453438829939600942402290119032294084996730840738085671",
"computed_ball": "[1.3290622509199308627304042656525027977046562894534388299396009424022901190322940849967308407380856705682796289180983669250350594486304842 +/- 1.38e-137]",
"independent_ball": "[1.32906225091993086273040426565250279770465628945343882993960094240229011903229408499673084073808567056827962891809836692504 +/- 6.18e-123]",
"accuracy_bits": 454
},
{
"lambda": "14/11",
"number": "1.240476232503333907110688013026189867089192116599165084672384385779632708278842458166207705810667717",
"computed_ball": "[1.2404762325033339071106880130261898670891921165991650846723843857796327082788424581662077058106677167685173806151478657198993918183486045 +/- 4.80e-137]",
"independent_ball": "[1.24047623250333390711068801302618986708919211659916508467238438577963270827884245816620770581066771676851738061514786571990 +/- 1.62e-123]",
"accuracy_bits": 454
},
{
"lambda": "14/13",
"number": "1.216286731625869333738214625101960832628844447798975730939094944212109666446692180083865662029236171",
"computed_ball": "[1.2162867316258693337382146251019608326288444477989757309390949442121096664466921800838656620292361714599963988390482392982586649968277577 +/- 2.30e-137]",
"independent_ball": "[1.21628673162586933373821462510196083262884444779897573093909494421210966644669218008386566202923617145999639883904823929826 +/- 2.19e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/15",
"number": "0.1662327771191725938884472609807079800065313954824739381385459274643841171978413455225658297811607290",
"computed_ball": "[0.1662327771191725938884472609807079800065313954824739381385459274643841171978413455225658297811607290456209129456607754500784245825335633 +/- 2.09e-137]",
"independent_ball": "[0.16623277711917259388844726098070798000653139548247393813854592746438411719784134552256582978116072904562091294566077545008 +/- 2.32e-123]",
"accuracy_bits": 452
},
{
"lambda": "2/15",
"number": "0.2847351500316032203977216305361040703704258289588845243493321829797870715931549201757460838123304574",
"computed_ball": "[0.28473515003160322039772163053610407037042582895888452434933218297978707159315492017574608381233045737319843191241077221347369184176413411 +/- 8.52e-138]",
"independent_ball": "[0.28473515003160322039772163053610407037042582895888452434933218297978707159315492017574608381233045737319843191241077221347 +/- 4.45e-123]",
"accuracy_bits": 453
},
{
"lambda": "4/15",
"number": "0.4761607572544388280474905978325642002449663120061860336272900859232167066873713566745003569323371971",
"computed_ball": "[0.4761607572544388280474905978325642002449663120061860336272900859232167066873713566745003569323371970936286859523328632724561795725865519 +/- 4.57e-137]",
"independent_ball": "[0.476160757254438828047490597832564200244966312006186033627290085923216706687371356674500356932337197093628685952332863272456 +/- 9.29e-124]",
"accuracy_bits": 453
},
{
"lambda": "7/15",
"number": "0.7093320272394836438177213121920344057489168217618285694250086843120703113965795768418262989786361205",
"computed_ball": "[0.7093320272394836438177213121920344057489168217618285694250086843120703113965795768418262989786361204840700843002548068667552257003030069 +/- 1.26e-137]",
"independent_ball": "[0.70933202723948364381772131219203440574891682176182856942500868431207031139657957684182629897863612048407008430025480686676 +/- 5.52e-123]",
"accuracy_bits": 454
},
{
"lambda": "8/15",
"number": "0.7734599945275759489273915115914094677126189735486561868125692607867718044499072846051132631397979012",
"computed_ball": "[0.77345999452757594892739151159140946771261897354865618681256926078677180444990728460511326313979790116059321796919281938710758780424634794 +/- 8.42e-138]",
"independent_ball": "[0.77345999452757594892739151159140946771261897354865618681256926078677180444990728460511326313979790116059321796919281938711 +/- 3.16e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/15",
"number": "0.9286812306135845497052009438106517495743896022114138733270633688512968552802869331995499148461444662",
"computed_ball": "[0.9286812306135845497052009438106517495743896022114138733270633688512968552802869331995499148461444662336713225356859750451525300318667081 +/- 3.89e-137]",
"independent_ball": "[0.92868123061358454970520094381065174957438960221141387332706336885129685528028693319954991484614446623367132253568597504515 +/- 3.28e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/15",
"number": "1.054738384134703121938120118250518771117434212535539744190967096289161611198422790602253373747827181",
"computed_ball": "[1.0547383841347031219381201182505187711174342125355397441909670962891616111984227906022533737478271813636265057763603682569219435875017989 +/- 3.57e-137]",
"independent_ball": "[1.054738384134703121938120118250518771117434212535539744190967096289161611198422790602253373747827181363626505776360368256922 +/- 7.96e-124]",
"accuracy_bits": 454
},
{
"lambda": "14/15",
"number": "1.135940101677794029611022310511044213153064048643190443993287570766778769688914199934425340454546916",
"computed_ball": "[1.1359401016777940296110223105110442131530640486431904439932875707667787696889141999344253404545469159330283107880264006555427906263889230 +/- 4.16e-137]",
"independent_ball": "[1.13594010167779402961102231051104421315306404864319044399328757076677876968891419993442534045454691593302831078802640065554 +/- 3.54e-123]",
"accuracy_bits": 454
},
{
"lambda": "15",
"number": "2.493491656787588908326708914710619700097970932237109072078188911965761757967620182838487446717410936",
"computed_ball": "[2.493491656787588908326708914710619700097970932237109072078188911965761757967620182838487446717410935684313694184911631751176368738003450 +/- 4.34e-136]",
"independent_ball": "[2.4934916567875889083267089147106197000979709322371090720781889119657617579676201828384874467174109356843136941849116317512 +/- 3.48e-122]",
"accuracy_bits": 452
},
{
"lambda": "15/2",
"number": "2.135513625237024152982912229020780527778193717191633932619991372348403036948661901318095628592478430",
"computed_ball": "[2.1355136252370241529829122290207805277781937171916339326199913723484030369486619013180956285924784302989882393430807916010526888132310058 +/- 8.37e-137]",
"independent_ball": "[2.13551362523702415298291222902078052777819371719163393261999137234840303694866190131809562859247843029898823934308079160105 +/- 8.31e-123]",
"accuracy_bits": 453
},
{
"lambda": "15/4",
"number": "1.785602839704145605178089741872115750918623670023197626102337822212062650077642587529376338496264489",
"computed_ball": "[1.7856028397041456051780897418721157509186236700231976261023378222120626500776425875293763384962644891011075723212482372717106733971995695 +/- 4.43e-137]",
"independent_ball": "[1.78560283970414560517808974187211575091862367002319762610233782221206265007764258752937633849626448910110757232124823727171 +/- 3.49e-123]",
"accuracy_bits": 453
},
{
"lambda": "15/7",
"number": "1.519997201227464951037974240411502298033393189489632648767875752097293524421241950375342069239934544",
"computed_ball": "[1.5199972012274649510379742404115022980333931894896326487678757520972935244212419503753420692399345438944358949291174432859040550720778719 +/- 5.56e-137]",
"independent_ball": "[1.51999720122746495103797424041150229803339318948963264876787575209729352442124195037534206923993454389443589492911744328590 +/- 5.66e-123]",
"accuracy_bits": 454
},
{
"lambda": "15/8",
"number": "1.450237489739204904238859084233892751961160575403730350273567363975197133343576158634587368387121065",
"computed_ball": "[1.4502374897392049042388590842338927519611605754037303502735673639751971333435761586345873683871210646761122836922365363508267271329619024 +/- 2.70e-137]",
"independent_ball": "[1.45023748973920490423885908423389275196116057540373035027356736397519713334357615863458736838712106467611228369223653635083 +/- 4.66e-123]",
"accuracy_bits": 454
},
{
"lambda": "15/11",
"number": "1.266383496291251658688910377923616022146894912106473463627813684797222984473118545272113520244742454",
"computed_ball": "[1.2663834962912516586889103779236160221468949121064734636278136847972229844731185452721135202447424539550063489122990568797534500434546019 +/- 2.83e-137]",
"independent_ball": "[1.26638349629125165868891037792361602214689491210647346362781368479722298447311854527211352024474245395500634891229905687975 +/- 4.48e-123]",
"accuracy_bits": 454
},
{
"lambda": "15/13",
"number": "1.217005827847734371467061674904444735904731783694853550989577418795186474459718604541061585093646748",
"computed_ball": "[1.2170058278477343714670616749044447359047317836948535509895774187951864744597186045410615850936467477272613528188773479887560887548097679 +/- 4.72e-137]",
"independent_ball": "[1.217005827847734371467061674904444735904731783694853550989577418795186474459718604541061585093646747727261352818877347988756 +/- 9.53e-124]",
"accuracy_bits": 454
},
{
"lambda": "15/14",
"number": "1.217078680369065031726095332690404514092568623546275475707093825821548681809550928501170007629871696",
"computed_ball": "[1.2170786803690650317260953326904045140925686235462754757070938258215486818095509285011700076298716956425303329871711435595101328139881318 +/- 5.89e-137]",
"independent_ball": "[1.217078680369065031726095332690404514092568623546275475707093825821548681809550928501170007629871695642530332987171143559510 +/- 9.35e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/16",
"number": "0.1578243892904763260357205240798967238970730445031494052480552994233204333860023050469188528829232320",
"computed_ball": "[0.15782438929047632603572052407989672389707304450314940524805529942332043338600230504691885288292323199978246641162603543470812062224850039 +/- 8.66e-138]",
"independent_ball": "[0.157824389290476326035720524079896723897073044503149405248055299423320433386002305046918852882923231999782466411626035434708 +/- 8.23e-124]",
"accuracy_bits": 452
},
{
"lambda": "3/16",
"number": "0.3680559848531748485464418965973067988120321157915498523046893095116370510369060049538227158375340777",
"computed_ball": "[0.36805598485317484854644189659730679881203211579154985230468930951163705103690600495382271583753407769311744453393856147056533524913277070 +/- 8.35e-138]",
"independent_ball": "[0.36805598485317484854644189659730679881203211579154985230468930951163705103690600495382271583753407769311744453393856147057 +/- 5.36e-123]",
"accuracy_bits": 453
},
{
"lambda": "5/16",
"number": "0.5347927290941974426734287173438938626978403868271961912298034036375841837442076105852318704807410842",
"computed_ball": "[0.53479272909419744267342871734389386269784038682719619122980340363758418374420761058523187048074108415734180496502171135736434441377102500 +/- 6.95e-138]",
"independent_ball": "[0.53479272909419744267342871734389386269784038682719619122980340363758418374420761058523187048074108415734180496502171135736 +/- 5.05e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/16",
"number": "0.6716406974856947891388759948359763733612781061909971589456688682703506580930512042263629989185442322",
"computed_ball": "[0.6716406974856947891388759948359763733612781061909971589456688682703506580930512042263629989185442321831955691538226026783278571698918555 +/- 5.04e-137]",
"independent_ball": "[0.671640697485694789138875994835976373361278106190997158945668868270350658093051204226362998918544232183195569153822602678328 +/- 8.36e-124]",
"accuracy_bits": 454
},
{
"lambda": "9/16",
"number": "0.7906725925388799523389079714641323577204303706746053866949446407876800208634534967712239426726317320",
"computed_ball": "[0.7906725925388799523389079714641323577204303706746053866949446407876800208634534967712239426726317320475828711973923762736158290884661060 +/- 9.76e-138]",
"independent_ball": "[0.790672592538879952338907971464132357720430370674605386694944640787680020863453496771223942672631732047582871197392376273616 +/- 8.64e-124]",
"accuracy_bits": 454
},
{
"lambda": "11/16",
"number": "0.8917690385679490750414094564070844314385815729781146458372287436280649150188556595462837907209306518",
"computed_ball": "[0.8917690385679490750414094564070844314385815729781146458372287436280649150188556595462837907209306518127929065498497885027953617071567493 +/- 3.34e-137]",
"independent_ball": "[0.89176903856794907504140945640708443143858157297811464583722874362806491501885565954628379072093065181279290654984978850280 +/- 5.34e-123]",
"accuracy_bits": 454
},
{
"lambda": "13/16",
"number": "0.9997406935875078334455617051834817193817070168101449252776066174594611491025359952892306159083092615",
"computed_ball": "[0.9997406935875078334455617051834817193817070168101449252776066174594611491025359952892306159083092614857483784454684765973877644026711636 +/- 4.48e-137]",
"independent_ball": "[0.999740693587507833445561705183481719381707016810144925277606617459461149102535995289230615908309261485748378445468476597388 +/- 9.29e-124]",
"accuracy_bits": 454
},
{
"lambda": "15/16",
"number": "1.141784411413330953290009065159206099969822315169584117991199002689512948058628180013682132949354081",
"computed_ball": "[1.1417844114133309532900090651592060999698223151695841179911990026895129480586281800136821329493540813077091790993480821701232131337063715 +/- 5.71e-137]",
"independent_ball": "[1.141784411413330953290009065159206099969822315169584117991199002689512948058628180013682132949354081307709179099348082170123 +/- 9.15e-124]",
"accuracy_bits": 454
},
{
"lambda": "16",
"number": "2.525190228647621216571528385278347582353168712050390483968884790773126934176036880750701646126771712",
"computed_ball": "[2.5251902286476212165715283852783475823531687120503904839688847907731269341760368807507016461267717119965194625860165669553299299559760062 +/- 9.86e-137]",
"independent_ball": "[2.5251902286476212165715283852783475823531687120503904839688847907731269341760368807507016461267717119965194625860165669553 +/- 4.12e-122]",
"accuracy_bits": 452
},
{
"lambda": "16/3",
"number": "1.962965252550265858914356781852302926997504617554932545625009650728730938863498693087054484466848414",
"computed_ball": "[1.9629652525502658589143567818523029269975046175549325456250096507287309388634986930870544844668484143632930375143389945096817879953747771 +/- 5.22e-137]",
"independent_ball": "[1.96296525255026585891435678185230292699750461755493254562500965072873093886349869308705448446684841436329303751433899450968 +/- 5.54e-123]",
"accuracy_bits": 453
},
{
"lambda": "16/5",
"number": "1.711336733101431816554971895500460360633089237847027811935370891640269387981464353872741985538371469",
"computed_ball": "[1.7113367331014318165549718955004603606330892378470278119353708916402693879814643538727419855383714693034937758880694763435659021240672800 +/- 2.41e-137]",
"independent_ball": "[1.71133673310143181655497189550046036063308923784702781193537089164026938798146435387274198553837146930349377588806947634357 +/- 6.32e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/7",
"number": "1.535178737110159518031716559625088853397207099865136363304385984617944361355545609660258283242386816",
"computed_ball": "[1.5351787371101595180317165596250888533972070998651363633043859846179443613555456096602582832423868164187327294944516632647493878168956698 +/- 3.02e-137]",
"independent_ball": "[1.53517873711015951803171655962508885339720709986513636330438598461794436135554560966025828324238681641873272949445166326475 +/- 2.20e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/9",
"number": "1.405640164513564359713614171491790858169653992310409576346568250289208925979472883148842564751345301",
"computed_ball": "[1.4056401645135643597136141714917908581696539923104095763465682502892089259794728831488425647513453014179251043509197800419836961572730773 +/- 4.03e-137]",
"independent_ball": "[1.40564016451356435971361417149179085816965399231040957634656825028920892597947288314884256475134530141792510435091978004198 +/- 4.95e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/11",
"number": "1.297118601553380472787504663864850082092482287968166757581423627095367149118335504794594604684990039",
"computed_ball": "[1.2971186015533804727875046638648500820924822879681667575814236270953671491183355047945946046849900390004260458906906014586114352104098172 +/- 1.28e-137]",
"independent_ball": "[1.29711860155338047278750466386485008209248228796816675758142362709536714911833550479459460468499003900042604589069060145861 +/- 2.46e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/13",
"number": "1.230450084415394256548383637148900577700562482227870677264746606103952183510813532663668450348688322",
"computed_ball": "[1.2304500844153942565483836371489005777005624822278706772647466061039521835108135326636684503486883218286133888559612019660157100340568168 +/- 2.91e-137]",
"independent_ball": "[1.23045008441539425654838363714890057770056248222787067726474660610395218351081353266366845034868832182861338885596120196602 +/- 5.15e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/15",
"number": "1.217903372174219683509343002836486506634477136180889725857278936202147144595870058681260941812644353",
"computed_ball": "[1.2179033721742196835093430028364865066344771361808897258572789362021471445958700586812609418126443533948897910393046209814647606759534630 +/- 3.19e-137]",
"independent_ball": "[1.21790337217421968350934300283648650663447713618088972585727893620214714459587005868126094181264435339488979103930462098146 +/- 5.51e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/17",
"number": "0.1502940554169652785639565093796273873358860579072792832483611272150769464265300226587789869357282095",
"computed_ball": "[0.1502940554169652785639565093796273873358860579072792832483611272150769464265300226587789869357282094942844754605961261233949992539971319 +/- 5.36e-137]",
"independent_ball": "[0.150294055416965278563956509379627387335886057907279283248361127215076946426530022658778986935728209494284475460596126123395 +/- 6.60e-124]",
"accuracy_bits": 452
},
{
"lambda": "2/17",
"number": "0.2586304679376173659946428813201221479591461700249569530032296655703536855068940806002915177115236346",
"computed_ball": "[0.2586304679376173659946428813201221479591461700249569530032296655703536855068940806002915177115236346464300694343163454149573025473700114 +/- 2.96e-137]",
"independent_ball": "[0.25863046793761736599464288132012214795914617002495695300322966557035368550689408060029151771152363464643006943431634541496 +/- 3.35e-123]",
"accuracy_bits": 453
},
{
"lambda": "3/17",
"number": "0.3516773093253334191267624180563839722542155961203437009630248617018199288609833476876403480699760677",
"computed_ball": "[0.3516773093253334191267624180563839722542155961203437009630248617018199288609833476876403480699760676871275790155777804477770430213542432 +/- 4.71e-137]",
"independent_ball": "[0.351677309325333419126762418056383972254215596120343700963024861701819928860983347687640348069976067687127579015577780447777 +/- 7.04e-124]",
"accuracy_bits": 453
},
{
"lambda": "4/17",
"number": "0.4354338498796251155776003926052927026580214986229807417730726255708929773093590646209422521854200198",
"computed_ball": "[0.4354338498796251155776003926052927026580214986229807417730726255708929773093590646209422521854200198269817958755062285826751713324524416 +/- 3.28e-137]",
"independent_ball": "[0.435433849879625115577600392605292702658021498622980741773072625570892977309359064620942252185420019826981795875506228582675 +/- 8.32e-124]",
"accuracy_bits": 453
},
{
"lambda": "5/17",
"number": "0.5095949816860816647949583977134411828190757410727588673588291492448969706851779951699771508866460142",
"computed_ball": "[0.5095949816860816647949583977134411828190757410727588673588291492448969706851779951699771508866460142086434831514292336351278988105438318 +/- 4.20e-137]",
"independent_ball": "[0.509594981686081664794958397713441182819075741072758867358829149244896970685177995169977150886646014208643483151429233635128 +/- 7.54e-124]",
"accuracy_bits": 454
},
{
"lambda": "6/17",
"number": "0.5823635456489566921170048240791286041809746030846653543584501608048286903242206926028127128533229146",
"computed_ball": "[0.5823635456489566921170048240791286041809746030846653543584501608048286903242206926028127128533229146442238823972370846180595576817803354 +/- 3.64e-137]",
"independent_ball": "[0.58236354564895669211700482407912860418097460308466535435845016080482869032422069260281271285332291464422388239723708461806 +/- 1.10e-123]",
"accuracy_bits": 454
},
{
"lambda": "7/17",
"number": "0.6425094614071065191840249653426267846655857796928547320409417378889968652704196389367156501008069486",
"computed_ball": "[0.64250946140710651918402496534262678466558577969285473204094173788899686527041963893671565010080694864093639906707658001396427256206058537 +/- 9.06e-138]",
"independent_ball": "[0.642509461407106519184024965342626784665585779692854732040941737888996865270419638936715650100806948640936399067076580013964 +/- 9.33e-124]",
"accuracy_bits": 454
},
{
"lambda": "8/17",
"number": "0.7149970445770615857641978706956280788558348448415533313128260301935915435116094417245694944507730582",
"computed_ball": "[0.7149970445770615857641978706956280788558348448415533313128260301935915435116094417245694944507730582430403735144659044075583584696536755 +/- 5.09e-137]",
"independent_ball": "[0.71499704457706158576419787069562807885583484484155333131282603019359154351160944172456949445077305824304037351446590440756 +/- 2.30e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/17",
"number": "0.7716748671438971781972156413398596787155007426962445583372012547798698158464740064758654841449205516",
"computed_ball": "[0.7716748671438971781972156413398596787155007426962445583372012547798698158464740064758654841449205515631071224741094936383616345654239344 +/- 1.52e-137]",
"independent_ball": "[0.77167486714389717819721564133985967871550074269624455833720125477986981584647400647586548414492055156310712247410949363836 +/- 2.30e-123]",
"accuracy_bits": 454
},
{
"lambda": "10/17",
"number": "0.8094563913715102328780961763151070696397305019908127247035782510719855662057983187456610948794535715",
"computed_ball": "[0.8094563913715102328780961763151070696397305019908127247035782510719855662057983187456610948794535715039964501649121170679965553923130343 +/- 5.05e-137]",
"independent_ball": "[0.80945639137151023287809617631510706963973050199081272470357825107198556620579831874566109487945357150399645016491211706800 +/- 4.10e-123]",
"accuracy_bits": 454
},
{
"lambda": "11/17",
"number": "0.8583966992299221250213042128220872512094504467166415639864311578457637908958452282286868187041141585",
"computed_ball": "[0.8583966992299221250213042128220872512094504467166415639864311578457637908958452282286868187041141585309116609792628394120019867829214947 +/- 1.87e-137]",
"independent_ball": "[0.858396699229922125021304212822087251209450446716641563986431157845763790895845228228686818704114158530911660979262839412002 +/- 6.66e-124]",
"accuracy_bits": 454
},
{
"lambda": "12/17",
"number": "0.9055057325084351016268611679992813031139652752981462286853387435344923416995640200381556962753252723",
"computed_ball": "[0.9055057325084351016268611679992813031139652752981462286853387435344923416995640200381556962753252723186004697221976580065422327652871709 +/- 3.37e-137]",
"independent_ball": "[0.905505732508435101626861167999281303113965275298146228685338743534492341699564020038155696275325272318600469722197658006542 +/- 8.93e-124]",
"accuracy_bits": 454
},
{
"lambda": "13/17",
"number": "0.9561488827762188615278173805681522575280267043236423521993635780396459503714411241887696964122303893",
"computed_ball": "[0.9561488827762188615278173805681522575280267043236423521993635780396459503714411241887696964122303892736387371853980119455138478772900798 +/- 1.21e-137]",
"independent_ball": "[0.956148882776218861527817380568152257528026704323642352199363578039645950371441124188769696412230389273638737185398011945514 +/- 8.05e-124]",
"accuracy_bits": 454
},
{
"lambda": "14/17",
"number": "1.010336377086409517821309789410469775845863654865694978296644720046427847515180041743258390711878387",
"computed_ball": "[1.0103363770864095178213097894104697758458636548656949782966447200464278475151800417432583907118783873818652877240525737840182103825708561 +/- 1.46e-137]",
"independent_ball": "[1.010336377086409517821309789410469775845863654865694978296644720046427847515180041743258390711878387381865287724052573784018 +/- 8.71e-124]",
"accuracy_bits": 454
},
{
"lambda": "15/17",
"number": "1.072162552089179517443742536920093768511510106160638993218789043482560709482085756603269807601840261",
"computed_ball": "[1.0721625520891795174437425369200937685115101061606389932187890434825607094820857566032698076018402605619815543865095409247336503559477880 +/- 5.31e-137]",
"independent_ball": "[1.07216255208917951744374253692009376851151010616063899321878904348256070948208575660326980760184026056198155438650954092473 +/- 4.32e-123]",
"accuracy_bits": 454
},
{
"lambda": "16/17",
"number": "1.147048909743084664143244521585583238301775871345994997921593796663365303526699742522320648908750769",
"computed_ball": "[1.1470489097430846641432445215855832383017758713459949979215937966633653035266997425223206489087507691430134074708177323740480482801207894 +/- 2.54e-137]",
"independent_ball": "[1.147048909743084664143244521585583238301775871345994997921593796663365303526699742522320648908750769143013407470817732374048 +/- 7.09e-124]",
"accuracy_bits": 454
},
{
"lambda": "17",
"number": "2.554998942088409735587260659453665584710062984423747815222139162656308089251010385199242777907379561",
"computed_ball": "[2.554998942088409735587260659453665584710062984423747815222139162656308089251010385199242777907379561402836082830134144097714987317951242 +/- 5.87e-136]",
"independent_ball": "[2.5549989420884097355872606594536655847100629844237478152221391626563080892510103851992427779073795614028360828301341440977 +/- 2.63e-122]",
"accuracy_bits": 452
},
{
"lambda": "17/2",
"number": "2.198358977469747610954464491221038257652742445212134100527452157348006326808599685102477900547950894",
"computed_ball": "[2.198358977469747610954464491221038257652742445212134100527452157348006326808599685102477900547950894494655590191688936027137071652645097 +/- 1.49e-136]",
"independent_ball": "[2.19835897746974761095446449122103825765274244521213410052745215734800632680859968510247790054795089449465559019168893602714 +/- 8.47e-123]",
"accuracy_bits": 453
},
{
"lambda": "17/3",
"number": "1.992838086176889375051653702319509176107221711348614305457140882976979596878905636896628639063197717",
"computed_ball": "[1.992838086176889375051653702319509176107221711348614305457140882976979596878905636896628639063197716893722947754940755870736577121007378 +/- 4.01e-136]",
"independent_ball": "[1.99283808617688937505165370231950917610722171134861430545714088297697959687890563689662863906319771689372294775494075587074 +/- 7.12e-123]",
"accuracy_bits": 452
},
{
"lambda": "17/4",
"number": "1.850593861988406741204801668572493986296591369147668152535558658676295153564776024639004571788035084",
"computed_ball": "[1.8505938619884067412048016685724939862965913691476681525355586586762951535647760246390045717880350842646726324709014714763694781629228769 +/- 3.75e-137]",
"independent_ball": "[1.85059386198840674120480166857249398629659136914766815253555865867629515356477602463900457178803508426467263247090147147637 +/- 3.30e-123]",
"accuracy_bits": 453
},
{
"lambda": "17/5",
"number": "1.732622937732677660302858552225700021584857519647380149020019107432649700329605183577922313014596448",
"computed_ball": "[1.7326229377326776603028585522257000215848575196473801490200191074326497003296051835779223130145964483093878427148593943594348559558490282 +/- 6.39e-137]",
"independent_ball": "[1.73262293773267766030285855222570002158485751964738014902001910743264970032960518357792231301459644830938784271485939435943 +/- 7.11e-123]",
"accuracy_bits": 453
},
{
"lambda": "17/6",
"number": "1.650030046005377294331513668224197711846094708739885170682275455613681289251958629041302686417748258",
"computed_ball": "[1.6500300460053772943315136682241977118460947087398851706822754556136812892519586290413026864177482581586343334588384064178354134317109504 +/- 4.56e-137]",
"independent_ball": "[1.65003004600537729433151366822419771184609470873988517068227545561368128925195862904130268641774825815863433345883840641784 +/- 6.44e-123]",
"accuracy_bits": 453
},
{
"lambda": "17/7",
"number": "1.560380120560115832304060630117807905616422607825504349242287077730420958513876265989166578816245447",
"computed_ball": "[1.5603801205601158323040606301178079056164226078255043492422870777304209585138762659891665788162454466994169691629002657481989476507185645 +/- 4.93e-137]",
"independent_ball": "[1.56038012056011583230406063011780790561642260782550434924228707773042095851387626598916657881624544669941696916290026574820 +/- 2.64e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/8",
"number": "1.519368719726255869748920475228209667568649045288300829039755314161382029962170063664710175707892749",
"computed_ball": "[1.5193687197262558697489204752282096675686490452883008290397553141613820299621700636647101757078927487664607937182400468660615117480140605 +/- 4.58e-137]",
"independent_ball": "[1.51936871972625586974892047522820966756864904528830082903975531416138202996217006366471017570789274876646079371824004686606 +/- 2.92e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/9",
"number": "1.457608082382916892150296211419734948684834736204017499081380147917531874376673123343301470051516597",
"computed_ball": "[1.4576080823829168921502962114197349486848347362040174990813801479175318743766731233433014700515165973969801202288734879835719764013563205 +/- 6.25e-137]",
"independent_ball": "[1.45760808238291689215029621141973494868483473620401749908138014791753187437667312334330147005151659739698012022887348798357 +/- 3.23e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/10",
"number": "1.376075865331567395892763499735682018387541853384381631996083026822375462549857141867623861295071072",
"computed_ball": "[1.3760758653315673958927634997356820183875418533843816319960830268223754625498571418676238612950710715567939652803505990155941441669321584 +/- 3.64e-137]",
"independent_ball": "[1.37607586533156739589276349973568201838754185338438163199608302682237546254985714186762386129507107155679396528035059901559 +/- 5.27e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/11",
"number": "1.326613080628061465942015601634134842778241599471173326160848153034362222293578989080697810724540063",
"computed_ball": "[1.3266130806280614659420156016341348427782415994711733261608481530343622222935789890806978107245400631841362033315880245458212523008786736 +/- 5.65e-137]",
"independent_ball": "[1.32661308062806146594201560163413484277824159947117332616084815303436222229357898908069781072454006318413620333158802454582 +/- 2.28e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/12",
"number": "1.282799787720283060638053321332315179411450806672373823970896553340530817407715695054053903056710802",
"computed_ball": "[1.2827997877202830606380533213323151794114508066723738239708965533405308174077156950540539030567108024513506654397800155092681630841568255 +/- 3.80e-137]",
"independent_ball": "[1.28279978772028306063805332133231517941145080667237382397089655334053081740771569505405390305671080245135066543978001550927 +/- 2.77e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/13",
"number": "1.250348539015055434305607343819891413690496459500147691337629294359537012024192239323775756846762817",
"computed_ball": "[1.2503485390150554343056073438198914136904964595001476913376292943595370120241922393237757568467628167424506563193666310056719549164562582 +/- 1.64e-137]",
"independent_ball": "[1.250348539015055434305607343819891413690496459500147691337629294359537012024192239323775756846762816742450656319366631005672 +/- 8.99e-124]",
"accuracy_bits": 454
},
{
"lambda": "17/14",
"number": "1.226837029319211557354447601426999013527120152336915330788782874342090957697004336402528045864423756",
"computed_ball": "[1.2268370293192115573544476014269990135271201523369153307887828743420909576970043364025280458644237561065507065220638395948792554645503253 +/- 5.37e-137]",
"independent_ball": "[1.22683702931921155735444760142699901352712015233691533078878287434209095769700433640252804586442375610655070652206383959488 +/- 1.54e-123]",
"accuracy_bits": 454
},
{
"lambda": "17/15",
"number": "1.215117559034403453102908208509439604313044786982057525647960915946902137413030524150372448615418962",
"computed_ball": "[1.2151175590344034531029082085094396043130447869820575256479609159469021374130305241503724486154189619702457616380441463813648037367408264 +/- 6.01e-137]",
"independent_ball": "[1.215117559034403453102908208509439604313044786982057525647960915946902137413030524150372448615418961970245761638044146381365 +/- 9.36e-124]",
"accuracy_bits": 454
},
{
"lambda": "17/16",
"number": "1.218739466602027455652197304184682190695636863305119685291693408954825634997118476429965689465547692",
"computed_ball": "[1.2187394666020274556521973041846821906956368633051196852916934089548256349971184764299656894655476922144517454377438406474260512976283387 +/- 3.62e-137]",
"independent_ball": "[1.218739466602027455652197304184682190695636863305119685291693408954825634997118476429965689465547692214451745437743840647426 +/- 7.53e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/18",
"number": "0.1435072483776015152479593399256932506684165263482422659137692839588856436296057138015434886750325878",
"computed_ball": "[0.1435072483776015152479593399256932506684165263482422659137692839588856436296057138015434886750325878405836011372389770449404615051645590 +/- 3.26e-137]",
"independent_ball": "[0.14350724837760151524795933992569325066841652634824226591376928395888564362960571380154348867503258784058360113723897704494 +/- 1.09e-123]",
"accuracy_bits": 452
},
{
"lambda": "5/18",
"number": "0.4890899107404734179539233451591271660791133945674548590631618165481509738461940020186605354091612596",
"computed_ball": "[0.4890899107404734179539233451591271660791133945674548590631618165481509738461940020186605354091612595863807671547983623006204107207102235 +/- 4.79e-137]",
"independent_ball": "[0.48908991074047341795392334515912716607911339456745485906316181654815097384619400201866053540916125958638076715479836230062 +/- 1.04e-123]",
"accuracy_bits": 453
},
{
"lambda": "7/18",
"number": "0.6177062509514079406068657997393674108291653488937264007372382211746905456333439554998582212947001338",
"computed_ball": "[0.61770625095140794060686579973936741082916534889372640073723822117469054563334395549985822129470013381677204928985297095743396537465257983 +/- 9.68e-138]",
"independent_ball": "[0.617706250951407940606865799739367410829165348893726400737238221174690545633343955499858221294700133816772049289852970957434 +/- 6.51e-124]",
"accuracy_bits": 454
},
{
"lambda": "11/18",
"number": "0.8273869413164396194260437220583735455562301361196306322433788736364377097053324331164069906244500390",
"computed_ball": "[0.8273869413164396194260437220583735455562301361196306322433788736364377097053324331164069906244500390358249293672386315996138699893501461 +/- 2.08e-137]",
"independent_ball": "[0.827386941316439619426043722058373545556230136119630632243378873636437709705332433116406990624450039035824929367238631599614 +/- 7.47e-124]",
"accuracy_bits": 454
},
{
"lambda": "13/18",
"number": "0.9189415098557296971247827597885887884378093916483393016591019170867677030985853098975996262148140891",
"computed_ball": "[0.9189415098557296971247827597885887884378093916483393016591019170867677030985853098975996262148140890738467068865619334877471816879957710 +/- 5.76e-137]",
"independent_ball": "[0.918941509855729697124782759788588788437809391648339301659101917086767703098585309897599626214814089073846706886561933487747 +/- 8.06e-124]",
"accuracy_bits": 454
},
{
"lambda": "17/18",
"number": "1.151818961213586895919454795783483450283077826173556021411324442329575527441512212249562469005751771",
"computed_ball": "[1.1518189612135868959194547957834834502830778261735560214113244423295755274415122122495624690057517706247586036321585251506550251488041512 +/- 5.00e-137]",
"independent_ball": "[1.151818961213586895919454795783483450283077826173556021411324442329575527441512212249562469005751770624758603632158525150655 +/- 6.49e-124]",
"accuracy_bits": 454
},
{
"lambda": "18",
"number": "2.583130470796827274463268118662478512031497474268360786447847111259941585332902848427782796150586581",
"computed_ball": "[2.583130470796827274463268118662478512031497474268360786447847111259941585332902848427782796150586581130504820470301586808928307092962062 +/- 5.78e-136]",
"independent_ball": "[2.5831304707968272744632681186624785120314974742683607864478471112599415853329028484277827961505865811305048204703015868089 +/- 3.96e-122]",
"accuracy_bits": 452
},
{
"lambda": "18/5",
"number": "1.760723678665704304634124042572857797884808220442837492627382539573343505846298407267177927472980535",
"computed_ball": "[1.7607236786657043046341240425728577978848082204428374926273825395733435058462984072671779274729805345109707617572741042822334785945568045 +/- 7.10e-137]",
"independent_ball": "[1.76072367866570430463412404257285779788480822044283749262738253957334350584629840726717792747298053451097076175727410428223 +/- 5.73e-123]",
"accuracy_bits": 453
},
{
"lambda": "18/7",
"number": "1.588387502446477561560512056472659056417853754298153601895755425877775688771455885571063997614943201",
"computed_ball": "[1.5883875024464775615605120564726590564178537542981536018957554258777756887714558855710639976149432012431281267453362110334016252491066339 +/- 7.26e-137]",
"independent_ball": "[1.58838750244647756156051205647265905641785375429815360189575542587777568877145588557106399761494320124312812674533621103340 +/- 3.23e-123]",
"accuracy_bits": 453
},
{
"lambda": "18/11",
"number": "1.353905903972355740878980636095520347273831131832122852761892702314170797699634890554120530112736428",
"computed_ball": "[1.3539059039723557408789806360955203472738311318321228527618927023141707976996348905541205301127364275131680662372995789811863327098456936 +/- 1.72e-137]",
"independent_ball": "[1.35390590397235574087898063609552034727383113183212285276189270231417079769963489055412053011273642751316806623729957898119 +/- 4.68e-123]",
"accuracy_bits": 454
},
{
"lambda": "18/13",
"number": "1.272380552107933426788160744322661399375428388436162109989525731350909127367271967550522559374357969",
"computed_ball": "[1.2723805521079334267881607443226613993754283884361621099895257313509091273672719675505225593743579694868646710737011386753422515679941444 +/- 1.81e-137]",
"independent_ball": "[1.27238055210793342678816074432266139937542838843616210998952573135090912736727196755052255937435796948686467107370113867534 +/- 3.12e-123]",
"accuracy_bits": 454
},
{
"lambda": "18/17",
"number": "1.219573017755562595679422724947217770887964757124941669729637644819550558467483518852477908359031287",
"computed_ball": "[1.2195730177555625956794227249472177708879647571249416697296376448195505584674835188524779083590312865438620509046384383948112030987338071 +/- 3.01e-137]",
"independent_ball": "[1.219573017755562595679422724947217770887964757124941669729637644819550558467483518852477908359031286543862050904638438394811 +/- 8.64e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/19",
"number": "0.1373559736892558614366151817909345029816539107429159613876334222951792112651074499263237660987565986",
"computed_ball": "[0.1373559736892558614366151817909345029816539107429159613876334222951792112651074499263237660987565985665413723265446318684751568345067229 +/- 1.52e-137]",
"independent_ball": "[0.137355973689255861436615181790934502981653910742915961387633422295179211265107449926323766098756598566541372326544631868475 +/- 7.48e-124]",
"accuracy_bits": 452
},
{
"lambda": "2/19",
"number": "0.2372821966222196482900298804874854033469672991723645773844015401207067918698199360009027464619497269",
"computed_ball": "[0.2372821966222196482900298804874854033469672991723645773844015401207067918698199360009027464619497268573242733072153236806818601353217970 +/- 2.60e-137]",
"independent_ball": "[0.237282196622219648290029880487485403346967299172364577384401540120706791869819936000902746461949726857324273307215323680682 +/- 7.24e-124]",
"accuracy_bits": 452
},
{
"lambda": "3/19",
"number": "0.3236087107365708584650523627528043117209246223360595402555091843591569848699266319520557600120035498",
"computed_ball": "[0.3236087107365708584650523627528043117209246223360595402555091843591569848699266319520557600120035497508079727754262782363106863929001946 +/- 1.93e-137]",
"independent_ball": "[0.323608710736570858465052362752804311720924622336059540255509184359156984869926631952055760012003549750807972775426278236311 +/- 8.98e-124]",
"accuracy_bits": 453
},
{
"lambda": "4/19",
"number": "0.4010825651109204031803247575482367083795005519669318236663796588006067026079095252546883350002126888",
"computed_ball": "[0.4010825651109204031803247575482367083795005519669318236663796588006067026079095252546883350002126887639794382194763572631614770107805994 +/- 4.22e-137]",
"independent_ball": "[0.40108256511092040318032475754823670837950055196693182366637965880060670260790952525468833500021268876397943821947635726316 +/- 2.07e-123]",
"accuracy_bits": 453
},
{
"lambda": "5/19",
"number": "0.4723464877484928345873062496417233366347330783800793411426456176353791437473287673384650536571253292",
"computed_ball": "[0.4723464877484928345873062496417233366347330783800793411426456176353791437473287673384650536571253292065745197192088166097248184939729278 +/- 1.18e-137]",
"independent_ball": "[0.472346487748492834587306249641723336634733078380079341142645617635379143747328767338465053657125329206574519719208816609725 +/- 7.65e-124]",
"accuracy_bits": 453
},
{
"lambda": "6/19",
"number": "0.5397482697223495363054733340497419650108852114257081022400082579950534932456371425061195096003280799",
"computed_ball": "[0.5397482697223495363054733340497419650108852114257081022400082579950534932456371425061195096003280798671456280342232163323557320654839903 +/- 1.89e-137]",
"independent_ball": "[0.539748269722349536305473334049741965010885211425708102240008257995053493245637142506119509600328079867145628034223216332356 +/- 8.52e-124]",
"accuracy_bits": 454
},
{
"lambda": "7/19",
"number": "0.5963210072850779057743243462584895329867684068913324109351856853862772352945085303983394115562892659",
"computed_ball": "[0.5963210072850779057743243462584895329867684068913324109351856853862772352945085303983394115562892658506290340610308226484912837061541860 +/- 4.48e-137]",
"independent_ball": "[0.596321007285077905774324346258489532986768406891332410935185685386277235294508530398339411556289265850629034061030822648491 +/- 8.75e-124]",
"accuracy_bits": 454
},
{
"lambda": "8/19",
"number": "0.6526067310077659369439629171382131631752390756713952259771159081864513940424263385125591468710766059",
"computed_ball": "[0.6526067310077659369439629171382131631752390756713952259771159081864513940424263385125591468710766059239865901606628976732905210787487096 +/- 2.24e-137]",
"independent_ball": "[0.65260673100776593694396291713821316317523907567139522597711590818645139404242633851255914687107660592398659016066289767329 +/- 1.12e-123]",
"accuracy_bits": 454
},
{
"lambda": "9/19",
"number": "0.7196330160623344831075345289578340767546664483791583511262633054611422841114841983735546671189607393",
"computed_ball": "[0.7196330160623344831075345289578340767546664483791583511262633054611422841114841983735546671189607392874627820687906913011116997688980753 +/- 1.65e-137]",
"independent_ball": "[0.719633016062334483107534528957834076754666448379158351126263305461142284111484198373554667118960739287462782068790691301112 +/- 8.84e-124]",
"accuracy_bits": 454
},
{
"lambda": "10/19",
"number": "0.7704128282333510791525029007017922406080327478572870100476610914554542384161541919452975771558903402",
"computed_ball": "[0.7704128282333510791525029007017922406080327478572870100476610914554542384161541919452975771558903402294476734450647775465827177303608512 +/- 5.92e-137]",
"independent_ball": "[0.770412828233351079152502900701792240608032747857287010047661091455454238416154191945297577155890340229447673445064777546583 +/- 8.66e-124]",
"accuracy_bits": 454
},
{
"lambda": "11/19",
"number": "0.8023412687673061210163112510106976402607574824245872860112872772659043559928209487657295877814363659",
"computed_ball": "[0.8023412687673061210163112510106976402607574824245872860112872772659043559928209487657295877814363659191900092069149754671942933247993973 +/- 4.68e-137]",
"independent_ball": "[0.802341268767306121016311251010697640260757482424587286011287277265904355992820948765729587781436365919190009206914975467194 +/- 8.85e-124]",
"accuracy_bits": 454
},
{
"lambda": "12/19",
"number": "0.8441711963553621182021408364484534889601665719188871850944940642873371915408658782092068040269075687",
"computed_ball": "[0.8441711963553621182021408364484534889601665719188871850944940642873371915408658782092068040269075686649566547751566268829372398723953714 +/- 4.93e-137]",
"independent_ball": "[0.844171196355362118202140836448453488960166571918887185094494064287337191540865878209206804026907568664956654775156626882937 +/- 8.31e-124]",
"accuracy_bits": 454
},
{
"lambda": "13/19",
"number": "0.8895569726945705164903366921388504729773027836644447833683607832978076619985191103438012079399659085",
"computed_ball": "[0.8895569726945705164903366921388504729773027836644447833683607832978076619985191103438012079399659085239284292542820736295774935150882276 +/- 2.34e-137]",
"independent_ball": "[0.88955697269457051649033669213885047297730278366444478336836078329780766199851911034380120793996590852392842925428207362958 +/- 3.10e-123]",
"accuracy_bits": 453
},
{
"lambda": "14/19",
"number": "0.9318965246946815048796652171816652110164316856304470829973631453968806191419207494439397544380497998",
"computed_ball": "[0.9318965246946815048796652171816652110164316856304470829973631453968806191419207494439397544380497997519727766346284906987447751300881042 +/- 2.57e-137]",
"independent_ball": "[0.931896524694681504879665217181665211016431685630447082997363145396880619141920749443939754438049799751972776634628490698745 +/- 8.09e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/19",
"number": "0.9781686409885635241562205792070124957495340896780056951167096488206408585492874126733552127969511382",
"computed_ball": "[0.9781686409885635241562205792070124957495340896780056951167096488206408585492874126733552127969511381975094966446010304918520754981392989 +/- 5.21e-137]",
"independent_ball": "[0.978168640988563524156220579207012495749534089678005695116709648820640858549287412673355212796951138197509496644601030491852 +/- 6.67e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/19",
"number": "1.028913410060190587915495308642751637624166305135655590269248162276388232303706660193889505718527168",
"computed_ball": "[1.0289134100601905879154953086427516376241663051356555902692481622763882323037066601938895057185271679545716381294610736651901909803899941 +/- 2.87e-137]",
"independent_ball": "[1.028913410060190587915495308642751637624166305135655590269248162276388232303706660193889505718527167954571638129461073665190 +/- 7.82e-124]",
"accuracy_bits": 454
},
{
"lambda": "17/19",
"number": "1.086537534248545229577877752393306394392910820027574984764738666502094373222032805861064201210925946",
"computed_ball": "[1.0865375342485452295778777523933063943929108200275749847647386665020943732220328058610642012109259462597075133873995450178877111763007765 +/- 4.65e-137]",
"independent_ball": "[1.086537534248545229577877752393306394392910820027574984764738666502094373222032805861064201210925946259707513387399545017888 +/- 8.73e-124]",
"accuracy_bits": 454
},
{
"lambda": "18/19",
"number": "1.156163637807037031741059089014578435415335687012644340632894158326910811253077224516801645750668382",
"computed_ball": "[1.1561636378070370317410590890145784354153356870126443406328941583269108112530772245168016457506683817481065082647881735148250914552179029 +/- 2.00e-137]",
"independent_ball": "[1.156163637807037031741059089014578435415335687012644340632894158326910811253077224516801645750668381748106508264788173514825 +/- 6.82e-124]",
"accuracy_bits": 454
},
{
"lambda": "19",
"number": "2.609763500095861367295688454027755556651424304115403266365035023608405014037041548600151555876375373",
"computed_ball": "[2.609763500095861367295688454027755556651424304115403266365035023608405014037041548600151555876375372764286074204348005501027979855627735 +/- 3.77e-136]",
"independent_ball": "[2.6097635000958613672956884540277555566514243041154032663650350236084050140370415486001515558763753727642860742043480055010 +/- 3.93e-122]",
"accuracy_bits": 451
},
{
"lambda": "19/2",
"number": "2.254180867911086658755283864631111331796189342137463485151814631146714522763289392008576091388522405",
"computed_ball": "[2.254180867911086658755283864631111331796189342137463485151814631146714522763289392008576091388522405144580596418545574966477671285557071 +/- 4.43e-136]",
"independent_ball": "[2.25418086791108665875528386463111133179618934213746348515181463114671452276328939200857609138852240514458059641854557496648 +/- 7.88e-123]",
"accuracy_bits": 452
},
{
"lambda": "19/3",
"number": "2.049521834664948770278664964101093974232522608128377088284891500941327570842868669029686480076022482",
"computed_ball": "[2.049521834664948770278664964101093974232522608128377088284891500941327570842868669029686480076022481755117160911033095496634347155034566 +/- 3.20e-136]",
"independent_ball": "[2.04952183466494877027866496410109397423252260812837708828489150094132757084286866902968648007602248175511716091103309549663 +/- 8.09e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/4",
"number": "1.905142184276871915106542598354124364802627621842926162415303379302881837387570244959769591251010272",
"computed_ball": "[1.9051421842768719151065425983541243648026276218429261624153033793028818373875702449597695912510102716289023315425126970000170158012078470 +/- 4.69e-137]",
"independent_ball": "[1.90514218427687191510654259835412436480262762184292616241530337930288183738757024495976959125101027162890233154251269700002 +/- 5.76e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/5",
"number": "1.794916653444272771431763748638548679211985697844301496342053347014440746239849315886167203897076251",
"computed_ball": "[1.7949166534442727714317637486385486792119856978443014963420533470144407462398493158861672038970762509849831749329935031169543102770971256 +/- 6.86e-137]",
"independent_ball": "[1.79491665344427277143176374863854867921198569784430149634205334701444074623984931588616720389707625098498317493299350311695 +/- 6.56e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/6",
"number": "1.709202854120773531633998891157516222534469836181408990426692816984336061944517617936045113734372253",
"computed_ball": "[1.7092028541207735316339988911575162225344698361814089904266928169843360619445176179360451137343722529126278221083735183857931515406993026 +/- 7.67e-137]",
"independent_ball": "[1.70920285412077353163399889115751622253446983618140899042669281698433606194451761793604511373437225291262782210837351838579 +/- 5.03e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/7",
"number": "1.618585591202354315673166082701614446678371390133616543966932574619895352942237439652635545652785150",
"computed_ball": "[1.6185855912023543156731660827016144466783713901336165439669325746198953529422374396526355456527851501659930924513693757601906272024185048 +/- 6.32e-137]",
"independent_ball": "[1.61858559120235431567316608270161444667837139013361654396693257461989535294223743965263554565278515016599309245136937576019 +/- 2.24e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/8",
"number": "1.549940986143444100241911928203256262541192804719563661695650281942822060850762553967327973818806939",
"computed_ball": "[1.5499409861434441002419119282032562625411928047195636616956502819428220608507625539673279738188069390694681516315743819740649875620281853 +/- 5.35e-137]",
"independent_ball": "[1.54994098614344410024191192820325626254119280471956366169565028194282206085076255396732797381880693906946815163157438197406 +/- 6.40e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/9",
"number": "1.519225256131595019893684005577649717593184724356000963488778089306855933124244418788615408362250450",
"computed_ball": "[1.5192252561315950198936840055776497175931847243560009634887780893068559331242444187886154083622504496068658732563359038579024772898959368 +/- 6.40e-137]",
"independent_ball": "[1.51922525613159501989368400557764971759318472435600096348877808930685593312424441878861540836225044960686587325633590385790 +/- 3.73e-123]",
"accuracy_bits": 453
},
{
"lambda": "19/10",
"number": "1.463784373643367050389755511333405257155262220928845319090556073765363052990692964696065396596191646",
"computed_ball": "[1.4637843736433670503897555113334052571552622209288453190905560737653630529906929646960653965961916464359505795456230773385071636876856172 +/- 3.16e-137]",
"independent_ball": "[1.46378437364336705038975551133340525715526222092884531909055607376536305299069296469606539659619164643595057954562307733851 +/- 3.95e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/11",
"number": "1.385862191507165118119083069927568651359490196915196221292223478913834796714872547868078378895208268",
"computed_ball": "[1.3858621915071651181190830699275686513594901969151962212922234789138347967148725478680783788952082684058736522664895030796992339246535045 +/- 2.65e-137]",
"independent_ball": "[1.38586219150716511811908306992756865135949019691519622129222347891383479671487254786807837889520826840587365226648950307970 +/- 1.78e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/12",
"number": "1.336604394229323353820056324376718024186930405538238043066282268454950553273037640497910773042603650",
"computed_ball": "[1.3366043942293233538200563243767180241869304055382380430662822684549505532730376404979107730426036503861813700606646592313172964646260048 +/- 3.76e-137]",
"independent_ball": "[1.33660439422932335382005632437671802418693040553823804306628226845495055327303764049791077304260365038618137006066465923132 +/- 3.63e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/13",
"number": "1.300121729322833831793569011587550691274519453048034683384527298666026582920912545887094073143027097",
"computed_ball": "[1.3001217293228338317935690115875506912745194530480346833845272986660265829209125458870940731430270970734338581408737999201517212912827942 +/- 4.95e-137]",
"independent_ball": "[1.30012172932283383179356901158755069127451945304803468338452729866602658292091254588709407314302709707343385814087379992015 +/- 2.59e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/14",
"number": "1.264716712085639185193831366175117072093728716212749612639278554467195125978321017102489666737353300",
"computed_ball": "[1.2647167120856391851938313661751170720937287162127496126392785544671951259783210171024896667373532996633916254327100945197250519622624271 +/- 2.71e-137]",
"independent_ball": "[1.264716712085639185193831366175117072093728716212749612639278554467195125978321017102489666737353299663391625432710094519725 +/- 8.54e-124]",
"accuracy_bits": 454
},
{
"lambda": "19/15",
"number": "1.239013611918847130597879400328882494616076513592140547147832221839478420829097389386249936209471442",
"computed_ball": "[1.2390136119188471305978794003288824946160765135921405471478322218394784208290973893862499362094714417168453624164946386230126289643097786 +/- 5.95e-137]",
"independent_ball": "[1.23901361191884713059787940032888249461607651359214054714783222183947842082909738938624993620947144171684536241649463862301 +/- 3.38e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/16",
"number": "1.221834674446476323149650679013267569678697487348591013444732192703211025860651658980243788040751012",
"computed_ball": "[1.2218346744464763231496506790132675696786974873485910134447321927032110258606516589802437880407510119460538202787350249774133517892131180 +/- 4.05e-137]",
"independent_ball": "[1.22183467444647632314965067901326756967869748734859101344473219270321102586065165898024378804075101194605382027873502497741 +/- 4.06e-123]",
"accuracy_bits": 454
},
{
"lambda": "19/17",
"number": "1.214365479454256433057628076204283617262665034148466159442943215502340770071683724197659989588681940",
"computed_ball": "[1.2143654794542564330576280762042836172626650341484661594429432155023407700716837241976599895886819399373201620212112561964627360205714561 +/- 4.00e-137]",
"independent_ball": "[1.214365479454256433057628076204283617262665034148466159442943215502340770071683724197659989588681939937320162021211256196463 +/- 9.17e-124]",
"accuracy_bits": 454
},
{
"lambda": "19/18",
"number": "1.220394951018539089060006816182055015160632114068902359556943833789516967433803736989957292736816625",
"computed_ball": "[1.2203949510185390890600068161820550151606321140689023595569438337895169674338037369899572927368166251785568698350541831545375965360633419 +/- 6.22e-137]",
"independent_ball": "[1.22039495101853908906000681618205501516063211406890235955694383378951696743380373698995729273681662517855686983505418315454 +/- 3.02e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/20",
"number": "0.1317524801657200001205776972510838045053313313048925410909322675404677821221688641878742837911203517",
"computed_ball": "[0.1317524801657200001205776972510838045053313313048925410909322675404677821221688641878742837911203517423086782367789202553766822770331719 +/- 5.65e-137]",
"independent_ball": "[0.131752480165720000120577697251083804505331331304892541090932267540467782122168864187874283791120351742308678236778920255377 +/- 8.72e-124]",
"accuracy_bits": 451
},
{
"lambda": "3/20",
"number": "0.3112280023508460034678340966324223213428498448362727405983223388152802648241906703075249355884427121",
"computed_ball": "[0.3112280023508460034678340966324223213428498448362727405983223388152802648241906703075249355884427120886058383035745308201958267241644179 +/- 3.10e-137]",
"independent_ball": "[0.311228002350846003467834096632422321342849844836272740598322338815280264824190670307524935588442712088605838303574530820196 +/- 7.28e-124]",
"accuracy_bits": 453
},
{
"lambda": "7/20",
"number": "0.5800608723267216589273391549548975462984974297407661664597971034051031576067455339735642141805174588",
"computed_ball": "[0.5800608723267216589273391549548975462984974297407661664597971034051031576067455339735642141805174588403621251997386279666260055854494093 +/- 3.23e-137]",
"independent_ball": "[0.580060872326721658927339154954897546298497429740766166459797103405103157606745533973564214180517458840362125199738627966626 +/- 5.67e-124]",
"accuracy_bits": 454
},
{
"lambda": "9/20",
"number": "0.6869282475215783942991407521598967230531478594128246683455292953644518139836569910011622863417974447",
"computed_ball": "[0.6869282475215783942991407521598967230531478594128246683455292953644518139836569910011622863417974446572284762148476630871270620135567204 +/- 5.78e-137]",
"independent_ball": "[0.686928247521578394299140752159896723053147859412824668345529295364451813983656991001162286341797444657228476214847663087127 +/- 6.24e-124]",
"accuracy_bits": 454
},
{
"lambda": "11/20",
"number": "0.7825397109651300606733416601971264587958873011851621437469159321440601109928267503654413274050992300",
"computed_ball": "[0.7825397109651300606733416601971264587958873011851621437469159321440601109928267503654413274050992300142807235895851749724640694306158990 +/- 2.76e-137]",
"independent_ball": "[0.782539710965130060673341660197126458795887301185162143746915932144060110992826750365441327405099230014280723589585174972464 +/- 6.31e-124]",
"accuracy_bits": 454
},
{
"lambda": "13/20",
"number": "0.8613188697062540372718558067743177922242477912003828734231420256612536129796275162696446071060308047",
"computed_ball": "[0.8613188697062540372718558067743177922242477912003828734231420256612536129796275162696446071060308047053518656946599844135197276584063466 +/- 2.28e-137]",
"independent_ball": "[0.861318869706254037271855806774317792224247791200382873423142025661253612979627516269644607106030804705351865694659984413520 +/- 8.27e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/20",
"number": "1.037004568180504589987145158738334721389116283892796260453208798104233640667769168661740128735158758",
"computed_ball": "[1.0370045681805045899871451587383347213891162838927962604532087981042336406677691686617401287351587575872435808777010470681619360175334173 +/- 4.43e-137]",
"independent_ball": "[1.037004568180504589987145158738334721389116283892796260453208798104233640667769168661740128735158757587243580877701047068162 +/- 6.19e-124]",
"accuracy_bits": 454
},
{
"lambda": "19/20",
"number": "1.160139474673949412985030350254596864357329832859092922784382486784547051313509451912967794252328020",
"computed_ball": "[1.1601394746739494129850303502545968643573298328590929227843824867845470513135094519129677942523280201868951397213279200136858436650964178 +/- 5.79e-137]",
"independent_ball": "[1.160139474673949412985030350254596864357329832859092922784382486784547051313509451912967794252328020186895139721327920013686 +/- 7.12e-124]",
"accuracy_bits": 454
},
{
"lambda": "20",
"number": "2.635049603314400002411553945021676090106626626097850821818645350809355642443377283757485675822407035",
"computed_ball": "[2.635049603314400002411553945021676090106626626097850821818645350809355642443377283757485675822407034846173564735578405107533645540663437 +/- 2.92e-136]",
"independent_ball": "[2.6350496033144000024115539450216760901066266260978508218186453508093556424433772837574856758224070348461735647355784051075 +/- 4.49e-122]",
"accuracy_bits": 451
},
{
"lambda": "20/3",
"number": "2.074853349005640023118893977549482142285665632241818270655482258768535098827937802050166237256284747",
"computed_ball": "[2.0748533490056400231188939775494821422856656322418182706554822587685350988279378020501662372562847472573722553571635388013055114944294528 +/- 7.29e-137]",
"independent_ball": "[2.07485334900564002311889397754948214228566563224181827065548225876853509882793780205016623725628474725737225535716353880131 +/- 8.19e-123]",
"accuracy_bits": 453
},
{
"lambda": "20/7",
"number": "1.657316778076347596935254728442564417995706942116474761313706009728866164590701525638754897658621311",
"computed_ball": "[1.6573167780763475969352547284425644179957069421164747613137060097288661645907015256387548976586213109724632148563960799046457302441411694 +/- 6.28e-137]",
"independent_ball": "[1.65731677807634759693525472844256441799570694211647476131370600972886616459070152563875489765862131097246321485639607990465 +/- 5.86e-123]",
"accuracy_bits": 453
},
{
"lambda": "20/9",
"number": "1.526507216714618653998090560355326051229217465361832596323398434143226253297015535558138414092883210",
"computed_ball": "[1.5265072167146186539980905603553260512292174653618325963233984341432262532970155355581384140928832103493966138107725846380601378079038232 +/- 4.01e-137]",
"independent_ball": "[1.52650721671461865399809056035532605122921746536183259632339843414322625329701553555813841409288321034939661381077258463806 +/- 1.39e-123]",
"accuracy_bits": 453
},
{
"lambda": "20/11",
"number": "1.422799474482054655769712109449320834174340547609385715903483512989200201805139546118984231645634964",
"computed_ball": "[1.4227994744820546557697121094493208341743405476093857159034835129892002018051395461189842316456349636623285883447003181317528535102107255 +/- 3.30e-137]",
"independent_ball": "[1.42279947448205465576971210944932083417434054760938571590348351298920020180513954611898423164563496366232858834470031813175 +/- 3.88e-123]",
"accuracy_bits": 454
},
{
"lambda": "20/13",
"number": "1.325105953394236980418239702729719680344996601846742882189449270248082481507119255799453241701585853",
"computed_ball": "[1.3251059533942369804182397027297196803449966018467428821894492702480824815071192557994532417015858533928490241456307452515688117821636101 +/- 5.49e-137]",
"independent_ball": "[1.32510595339423698041823970272971968034499660184674288218944927024808248150711925579945324170158585339284902414563074525157 +/- 2.05e-123]",
"accuracy_bits": 454
},
{
"lambda": "20/17",
"number": "1.220005374330005399984876657339217319281313275167995600533186821299098400785610786660870739688422068",
"computed_ball": "[1.2200053743300053999848766573392173192813132751679956005331868212990984007856107866608707396884220677496983304443541730213669835500393144 +/- 5.18e-137]",
"independent_ball": "[1.220005374330005399984876657339217319281313275167995600533186821299098400785610786660870739688422067749698330444354173021367 +/- 6.70e-124]",
"accuracy_bits": 454
},
{
"lambda": "20/19",
"number": "1.221199447025209908405295105531154594060347192483255708194086828194260054014220475697860836055082127",
"computed_ball": "[1.2211994470252099084052951055311545940603471924832557081940868281942600540142204756978608360550821265125211997066609684354587828053646504 +/- 5.66e-137]",
"independent_ball": "[1.221199447025209908405295105531154594060347192483255708194086828194260054014220475697860836055082126512521199706660968435459 +/- 8.02e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/21",
"number": "0.1266246887062981496110868381826767884751260841322886549644434318925520161739306921756178544763208452",
"computed_ball": "[0.1266246887062981496110868381826767884751260841322886549644434318925520161739306921756178544763208452188934012801007864418014956236880167 +/- 1.88e-137]",
"independent_ball": "[0.12662468870629814961108683818267678847512608413228865496444343189255201617393069217561785447632084521889340128010078644180 +/- 2.04e-123]",
"accuracy_bits": 451
},
{
"lambda": "2/21",
"number": "0.2194659357366786869991513723526848815089219150557232007185029513716025691495843248140570788187560526",
"computed_ball": "[0.2194659357366786869991513723526848815089219150557232007185029513716025691495843248140570788187560525673583027741049825310467731571725463 +/- 2.81e-137]",
"independent_ball": "[0.219465935736678686999151372352684881508921915055723200718502951371602569149584324814057078818756052567358302774104982531047 +/- 7.55e-124]",
"accuracy_bits": 451
},
{
"lambda": "4/21",
"number": "0.3727105057019837074171433318323930177643369399296240800282574725290533538517607660813766761541148899",
"computed_ball": "[0.3727105057019837074171433318323930177643369399296240800282574725290533538517607660813766761541148899092912452792712902270006075751509444 +/- 2.18e-137]",
"independent_ball": "[0.372710505701983707417143331832393017764336939929624080028257472529053353851760766081376676154114889909291245279271290227001 +/- 9.21e-124]",
"accuracy_bits": 453
},
{
"lambda": "5/21",
"number": "0.4398041463879431829449440480895897897011060567526381676241154043255171549428975026741090541241513858",
"computed_ball": "[0.4398041463879431829449440480895897897011060567526381676241154043255171549428975026741090541241513858326057855084037091011952606032060872 +/- 1.70e-137]",
"independent_ball": "[0.439804146387943182944944048089589789701106056752638167624115404325517154942897502674109054124151385832605785508403709101195 +/- 7.96e-124]",
"accuracy_bits": 453
},
{
"lambda": "8/21",
"number": "0.6090553994102405942850516979415931480977806942964249476605689737975570471919746307618711306250650587",
"computed_ball": "[0.6090553994102405942850516979415931480977806942964249476605689737975570471919746307618711306250650586855375868182567507723944813147183845 +/- 1.56e-137]",
"independent_ball": "[0.60905539941024059428505169794159314809778069429642494766056897379755704719197463076187113062506505868553758681825675077239 +/- 5.02e-123]",
"accuracy_bits": 454
},
{
"lambda": "10/21",
"number": "0.7235056464159666573403627156831850013744769881588390932185271236608592112939228178283539040627220636",
"computed_ball": "[0.7235056464159666573403627156831850013744769881588390932185271236608592112939228178283539040627220636144254069712316379825166401343710829 +/- 5.11e-137]",
"independent_ball": "[0.723505646415966657340362715683185001374476988158839093218527123660859211293922817828353904062722063614425406971231637982517 +/- 8.88e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/21",
"number": "0.7695000215119883550058390366901489720672056793155250466015740803161419387152410301849681510252987674",
"computed_ball": "[0.7695000215119883550058390366901489720672056793155250466015740803161419387152410301849681510252987673919861295148278887800066405205600703 +/- 4.16e-137]",
"independent_ball": "[0.769500021511988355005839036690148972067205679315525046601574080316141938715241030184968151025298767391986129514827888780007 +/- 8.88e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/21",
"number": "0.8336285815178174848845937247841492878250756645729679250136077952557232483881593979495129803676011978",
"computed_ball": "[0.8336285815178174848845937247841492878250756645729679250136077952557232483881593979495129803676011977557174306081448283978692787173155679 +/- 4.73e-137]",
"independent_ball": "[0.833628581517817484884593724784149287825075664572967925013607795255723248388159397949512980367601197755717430608144828397869 +/- 8.14e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/21",
"number": "0.9538811898062846046459608062292199170941682858537760008369131757140565898727479368443015001461705651",
"computed_ball": "[0.9538811898062846046459608062292199170941682858537760008369131757140565898727479368443015001461705650948978193148152005761547577250375785 +/- 4.96e-137]",
"independent_ball": "[0.953881189806284604645960806229219917094168285853776000836913175714056589872747936844301500146170565094897819314815200576155 +/- 7.71e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/21",
"number": "0.9969886100237005070299993184299803409163011048946911752104492481773228521181276147896818250993682880",
"computed_ball": "[0.9969886100237005070299993184299803409163011048946911752104492481773228521181276147896818250993682879835087715303323996109219517775385802 +/- 3.77e-137]",
"independent_ball": "[0.996988610023700507029999318429980340916301104894691175210449248177322852118127614789681825099368287983508771530332399610922 +/- 5.77e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/21",
"number": "1.098633257312436866133914184653057527906710900243181658419415963287005129232701622422489145414079619",
"computed_ball": "[1.0986332573124368661339141846530575279067109002431816584194159632870051292327016224224891454140796189811746668015848746956972095796633361 +/- 4.13e-137]",
"independent_ball": "[1.098633257312436866133914184653057527906710900243181658419415963287005129232701622422489145414079618981174666801584874695697 +/- 7.44e-124]",
"accuracy_bits": 454
},
{
"lambda": "20/21",
"number": "1.163793224361436781605322968956021621485728686167150829069846575039575426103960088383241266930780749",
"computed_ball": "[1.1637932243614367816053229689560216214857286861671508290698465750395754261039600883832412669307807494621546885769871478228536622908015795 +/- 4.55e-137]",
"independent_ball": "[1.163793224361436781605322968956021621485728686167150829069846575039575426103960088383241266930780749462154688576987147822854 +/- 8.67e-124]",
"accuracy_bits": 454
},
{
"lambda": "21",
"number": "2.659118462832261141832823601836212557977647766778061754253312069743592339652544535687974944002737750",
"computed_ball": "[2.659118462832261141832823601836212557977647766778061754253312069743592339652544535687974944002737749596761426882116515277831408097448351 +/- 6.75e-136]",
"independent_ball": "[2.6591184628322611418328236018362125579776477667780617542533120697435923396525445356879749440027377495967614268821165152778 +/- 4.27e-122]",
"accuracy_bits": 451
},
{
"lambda": "21/2",
"number": "2.304392325235126213491089409703191255843680108085093607544280989401826976070635410547599327596938552",
"computed_ball": "[2.304392325235126213491089409703191255843680108085093607544280989401826976070635410547599327596938551957262179128102316575991118150311736 +/- 1.37e-136]",
"independent_ball": "[2.30439232523512621349108940970319125584368010808509360754428098940182697607063541054759932759693855195726217912810231657599 +/- 6.74e-123]",
"accuracy_bits": 452
},
{
"lambda": "21/4",
"number": "1.956730154935414463940002492120063343262768934630526420148351730777530107721744021927227549809103172",
"computed_ball": "[1.9567301549354144639400024921200633432627689346305264201483517307775301077217440219272275498091031720237790377161742736917531897695424582 +/- 8.73e-137]",
"independent_ball": "[1.95673015493541446394000249212006334326276893463052642014835173077753010772174402192722754980910317202377903771617427369175 +/- 6.00e-123]",
"accuracy_bits": 452
},
{
"lambda": "21/5",
"number": "1.847177414829361368368765001976277116744645438361080304021284698167172050760169511231258027321435820",
"computed_ball": "[1.8471774148293613683687650019762771167446454383610803040212846981671720507601695112312580273214358204969442991352955782250200945334655662 +/- 5.81e-137]",
"independent_ball": "[1.84717741482936136836876500197627711674464543836108030402128469816717205076016951123125802732143582049694429913529557822502 +/- 2.34e-123]",
"accuracy_bits": 452
},
{
"lambda": "21/8",
"number": "1.598770423451881559998260707096682013756674322528115487608993556218587248878933405749911717890795779",
"computed_ball": "[1.5987704234518815599982607070966820137566743225281154876089935562185872488789334057499117178907957790495361653979239707775355134511357593 +/- 5.36e-137]",
"independent_ball": "[1.59877042345188155999826070709668201375667432252811548760899355621858724887893340574991171789079577904953616539792397077754 +/- 5.88e-123]",
"accuracy_bits": 453
},
{
"lambda": "21/10",
"number": "1.519361857473529980414761702934688502886401675133562095758906959687804343717237917439543198531716334",
"computed_ball": "[1.5193618574735299804147617029346885028864016751335620957589069596878043437172379174395431985317163335902933546395864397632849442821792740 +/- 3.17e-137]",
"independent_ball": "[1.51936185747352998041476170293468850288640167513356209575890695968780434371723791743954319853171633359029335463958643976328 +/- 6.07e-123]",
"accuracy_bits": 453
},
{
"lambda": "21/11",
"number": "1.469045495613795950465692706408466219401029024147820543512095971512634610274551057625848288321024920",
"computed_ball": "[1.4690454956137959504656927064084662194010290241478205435120959715126346102745510576258482883210249195665189745283077876709217682665237706 +/- 5.23e-137]",
"independent_ball": "[1.46904549561379595046569270640846621940102902414782054351209597151263461027455105762584828832102491956651897452830778767092 +/- 2.79e-123]",
"accuracy_bits": 454
},
{
"lambda": "21/13",
"number": "1.346630785528782090967420632343625772640506842771717417329674130797706785857795950533828660593817319",
"computed_ball": "[1.3466307855287820909674206323436257726405068427717174173296741307977067858577959505338286605938173194515435417516185689504042194664328405 +/- 3.01e-137]",
"independent_ball": "[1.34663078552878209096742063234362577264050684277171741732967413079770678585779595053382866059381731945154354175161856895040 +/- 5.09e-123]",
"accuracy_bits": 454
},
{
"lambda": "21/16",
"number": "1.251969061620748543597823558175851141186095875183081001098448543124699274207981667108145718941848867",
"computed_ball": "[1.2519690616207485435978235581758511411860958751830810010984485431246992742079816671081457189418488666870533878506949507562031195141118217 +/- 4.80e-137]",
"independent_ball": "[1.251969061620748543597823558175851141186095875183081001098448543124699274207981667108145718941848866687053387850694950756203 +/- 8.21e-124]",
"accuracy_bits": 454
},
{
"lambda": "21/17",
"number": "1.231574165323394743978234452178211009367195482516971451730554953630810582028275288857842254534513768",
"computed_ball": "[1.2315741653233947439782344521782110093671954825169714517305549536308105820282752888578422545345137675090402471845282583429035874899005990 +/- 6.08e-137]",
"independent_ball": "[1.23157416532339474397823445217821100936719548251697145173055495363081058202827528885784225453451376750904024718452825834290 +/- 4.25e-123]",
"accuracy_bits": 454
},
{
"lambda": "21/19",
"number": "1.214278863345324957305905151458642530844259416058253411937249222580374090204564951098540634405035368",
"computed_ball": "[1.2142788633453249573059051514586425308442594160582534119372492225803740902045649510985406344050353683476141054122780194005074421669963188 +/- 3.68e-137]",
"independent_ball": "[1.21427886334532495730590515145864253084425941605825341193724922258037409020456495109854063440503536834761410541227801940051 +/- 3.15e-123]",
"accuracy_bits": 454
},
{
"lambda": "21/20",
"number": "1.221982885579508620685589117403822702560015120475508370523338903791554197409158092802403330277319787",
"computed_ball": "[1.2219828855795086206855891174038227025600151204755083705233389037915541974091580928024033302773197869352624230058365052139963454053416585 +/- 2.28e-137]",
"independent_ball": "[1.221982885579508620685589117403822702560015120475508370523338903791554197409158092802403330277319786935262423005836505213996 +/- 9.07e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/22",
"number": "0.1219128132739387881790005926878491065686831048883414819445703526142261440961317695490319916507215661",
"computed_ball": "[0.1219128132739387881790005926878491065686831048883414819445703526142261440961317695490319916507215660566422020407253425743303335865851445 +/- 1.33e-137]",
"independent_ball": "[0.121912813273938788179000592687849106568683104888341481944570352614226144096131769549031991650721566056642202040725342574330 +/- 8.44e-124]",
"accuracy_bits": 450
},
{
"lambda": "3/22",
"number": "0.2895404054440515020691263373521604398233245087523383321923484299149607038278651421726940404014831445",
"computed_ball": "[0.2895404054440515020691263373521604398233245087523383321923484299149607038278651421726940404014831444821536695040212152879272320079164366 +/- 1.94e-137]",
"independent_ball": "[0.289540405444051502069126337352160439823324508752338332192348429914960703827865142172694040401483144482153669504021215287927 +/- 7.43e-124]",
"accuracy_bits": 452
},
{
"lambda": "5/22",
"number": "0.4235416773620133928301998102589582459111105376563387185558240959489014952737258217451677567391198107",
"computed_ball": "[0.4235416773620133928301998102589582459111105376563387185558240959489014952737258217451677567391198106795642735133487784554495136692689096 +/- 1.98e-137]",
"independent_ball": "[0.42354167736201339283019981025895824591111053765633871855582409594890149527372582174516775673911981067956427351334877845545 +/- 9.91e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/22",
"number": "0.5435182948360610668568677433206403514397054442807644617528601208718573156456854329059812605492493269",
"computed_ball": "[0.5435182948360610668568677433206403514397054442807644617528601208718573156456854329059812605492493268743312377730890217282357442051180300 +/- 1.24e-137]",
"independent_ball": "[0.543518294836061066856867743320640351439705444280764461752860120871857315645685432905981260549249326874331237773089021728236 +/- 7.60e-124]",
"accuracy_bits": 453
},
{
"lambda": "9/22",
"number": "0.6397578930701717399749504570757510196885317345945163147959913226305503865200314736119325372015832268",
"computed_ball": "[0.6397578930701717399749504570757510196885317345945163147959913226305503865200314736119325372015832268423972972310211682104286202595500177 +/- 3.15e-137]",
"independent_ball": "[0.639757893070171739974950457075751019688531734594516314795991322630550386520031473611932537201583226842397297231021168210429 +/- 8.84e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/22",
"number": "0.8116237601287557943446351513714975496138187164606823868870444323694429697151681858176542115184706411",
"computed_ball": "[0.8116237601287557943446351513714975496138187164606823868870444323694429697151681858176542115184706411037168350249249551613539938872334104 +/- 1.39e-137]",
"independent_ball": "[0.811623760128755794344635151371497549613818716460682386887044432369442969715168185817654211518470641103716835024924955161354 +/- 5.11e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/22",
"number": "0.8880328999267948439079003606532211642587693192991537551032365239786469900137020943043865957740642111",
"computed_ball": "[0.8880328999267948439079003606532211642587693192991537551032365239786469900137020943043865957740642111333395359030114926922965505433014793 +/- 2.64e-137]",
"independent_ball": "[0.88803289992679484390790036065322116425876931929915375510323652397864699001370209430438659577406421113333953590301149269230 +/- 3.96e-123]",
"accuracy_bits": 453
},
{
"lambda": "17/22",
"number": "0.9629177199314811179360522384907464306044677882071512818716440743583323134628048709677196978608199284",
"computed_ball": "[0.9629177199314811179360522384907464306044677882071512818716440743583323134628048709677196978608199284102212962376528293748697012013448170 +/- 1.47e-137]",
"independent_ball": "[0.962917719931481117936052238490746430604467788207151281871644074358332313462804870967719697860819928410221296237652829374870 +/- 8.04e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/22",
"number": "1.051447689342702976782461529784186705973430637682695008083260749997742284760543163402295008747251516",
"computed_ball": "[1.0514476893427029767824615297841867059734306376826950080832607499977422847605431634022950087472515157924672340378661431967465181720776498 +/- 4.36e-137]",
"independent_ball": "[1.05144768934270297678246152978418670597343063768269500808326074999774228476054316340229500874725151579246723403786614319675 +/- 3.99e-123]",
"accuracy_bits": 454
},
{
"lambda": "21/22",
"number": "1.167163909687816026448699958314608972616334843413305233682123413576357124282198004182655552317166782",
"computed_ball": "[1.1671639096878160264486999583146089726163348434133052336821234135763571242821980041826555523171667817988151551060233206706448367006754668 +/- 5.40e-137]",
"independent_ball": "[1.167163909687816026448699958314608972616334843413305233682123413576357124282198004182655552317166781798815155106023320670645 +/- 6.68e-124]",
"accuracy_bits": 454
},
{
"lambda": "22",
"number": "2.682081892026653339938013039132680344511028307543512602780547757512975170114898930078703816315874453",
"computed_ball": "[2.682081892026653339938013039132680344511028307543512602780547757512975170114898930078703816315874453246128444895957536635267338904873179 +/- 2.88e-136]",
"independent_ball": "[2.6820818920266533399380130391326803445110283075435126027805477575129751701148989300787038163158744532461284448959575366353 +/- 4.38e-122]",
"accuracy_bits": 451
},
{
"lambda": "22/3",
"number": "2.123296306589711015173593140582509892037713064183814436077221819376378494737677709266422962944209726",
"computed_ball": "[2.123296306589711015173593140582509892037713064183814436077221819376378494737677709266422962944209726202460243029488912111466368058053868 +/- 4.23e-136]",
"independent_ball": "[2.12329630658971101517359314058250989203771306418381443607722181937637849473767770926642296294420972620246024302948891211147 +/- 7.33e-123]",
"accuracy_bits": 453
},
{
"lambda": "22/5",
"number": "1.863583380392858928452879165139416282008886365687890361645626022175166579204393615678738129652127167",
"computed_ball": "[1.8635833803928589284528791651394162820088863656878903616456260221751665792043936156787381296521271669900828034587346252039778601447832022 +/- 4.82e-137]",
"independent_ball": "[1.86358338039285892845287916513941628200888636568789036164562602217516657920439361567873812965212716699008280345873462520398 +/- 4.36e-123]",
"accuracy_bits": 452
},
{
"lambda": "22/7",
"number": "1.708200355199049067264441479007726818810502824882402594080417522740122992029297074847369676011926456",
"computed_ball": "[1.7082003551990490672644414790077268188105028248824025940804175227401229920292970748473696760119264558907553187154226397173123389303709514 +/- 6.83e-137]",
"independent_ball": "[1.70820035519904906726444147900772681881050282488240259408041752274012299202929707484736967601192645589075531871542263971731 +/- 3.95e-123]",
"accuracy_bits": 453
},
{
"lambda": "22/9",
"number": "1.563852627504864253272101117296280270349744240119928769501312121985789833715632491051390646492758999",
"computed_ball": "[1.5638526275048642532721011172962802703497442401199287695013121219857898337156324910513906464927589989480822821202739667366032939677889322 +/- 3.32e-137]",
"independent_ball": "[1.56385262750486425327210111729628027034974424011992876950131212198578983371563249105139064649275899894808228212027396673660 +/- 4.55e-123]",
"accuracy_bits": 453
},
{
"lambda": "22/13",
"number": "1.373517132525586728890921025397918930115693212471924039347305962471365025671823083691414819492796470",
"computed_ball": "[1.3735171325255867288909210253979189301156932124719240393473059624713650256718230836914148194927964695601361823498730010422913742707026945 +/- 4.19e-137]",
"independent_ball": "[1.37351713252558672889092102539791893011569321247192403934730596247136502567182308369141481949279646956013618234987300104229 +/- 2.24e-123]",
"accuracy_bits": 454
},
{
"lambda": "22/15",
"number": "1.302448253225965771064920528958057707579528334972092174151413568502015585353429738313100340468627510",
"computed_ball": "[1.3024482532259657710649205289580577075795283349720921741514135685020155853534297383131003404686275096622313193244168559487016074635088363 +/- 4.57e-137]",
"independent_ball": "[1.30244825322596577106492052895805770757952833497209217415141356850201558535342973831310034046862750966223131932441685594870 +/- 2.36e-123]",
"accuracy_bits": 454
},
{
"lambda": "22/17",
"number": "1.246128814028975564387832308635083616076370078856313423598598213875488876245982774193519608996355201",
"computed_ball": "[1.2461288140289755643878323086350836160763700788563134235985982138754888762459827741935196089963552014720510892487271909557137309664462338 +/- 5.32e-137]",
"independent_ball": "[1.246128814028975564387832308635083616076370078856313423598598213875488876245982774193519608996355201472051089248727190955714 +/- 9.22e-124]",
"accuracy_bits": 454
},
{
"lambda": "22/19",
"number": "1.217465745554708709958639666065900396390288106790488956727986131576333171827997347097394220654712281",
"computed_ball": "[1.2174657455547087099586396660659003963902881067904889567279861315763331718279973470973942206547122814439094288859502710699170210413530682 +/- 6.07e-137]",
"independent_ball": "[1.217465745554708709958639666065900396390288106790488956727986131576333171827997347097394220654712281443909428885950271069917 +/- 6.12e-124]",
"accuracy_bits": 454
},
{
"lambda": "22/21",
"number": "1.222743143482473932470066622996257018931398407385367387666986433270469368295636004381829626237031867",
"computed_ball": "[1.2227431434824739324700666229962570189313984073853673876669864332704693682956360043818296262370318666463777815396434787978184003530885842 +/- 4.49e-137]",
"independent_ball": "[1.22274314348247393247006662299625701893139840738536738766698643327046936829563600438182962623703186664637778153964347879782 +/- 2.13e-123]",
"accuracy_bits": 454
},
{
"lambda": "1/23",
"number": "0.1175668249602964865323342977015533867642855494207287283830952883845607132742523229100971974536791536",
"computed_ball": "[0.1175668249602964865323342977015533867642855494207287283830952883845607132742523229100971974536791535504439651770153250829209352849834342 +/- 3.16e-137]",
"independent_ball": "[0.117566824960296486532334297701553386764285549420728728383095288384560713274252322910097197453679153550443965177015325082921 +/- 5.47e-124]",
"accuracy_bits": 450
},
{
"lambda": "2/23",
"number": "0.2043494536841365743940927563449286836340963389428872282664407990995451976775938509021841122613769879",
"computed_ball": "[0.2043494536841365743940927563449286836340963389428872282664407990995451976775938509021841122613769879447563058236607733964064215631153970 +/- 3.02e-137]",
"independent_ball": "[0.204349453684136574394092756344928683634096338942887228266440799099545197677593850902184112261376987944756305823660773396406 +/- 9.10e-124]",
"accuracy_bits": 451
},
{
"lambda": "3/23",
"number": "0.2798198166760396104231527405339304260823502768090294166828450985729004562057609730775745528052908769",
"computed_ball": "[0.2798198166760396104231527405339304260823502768090294166828450985729004562057609730775745528052908769196793418599807051464285378679878804 +/- 2.89e-137]",
"independent_ball": "[0.279819816676039610423152740533930426082350276809029416682845098572900456205760973077574552805290876919679341859980705146429 +/- 9.45e-124]",
"accuracy_bits": 452
},
{
"lambda": "4/23",
"number": "0.3480872647863563715835403284647381898878561680316252604601568685534976242777412297663323030649883437",
"computed_ball": "[0.3480872647863563715835403284647381898878561680316252604601568685534976242777412297663323030649883437493933996732410861900166273341496769 +/- 5.11e-137]",
"independent_ball": "[0.348087264786356371583540328464738189887856168031625260460156868553497624277741229766332303064988343749393399673241086190017 +/- 8.55e-124]",
"accuracy_bits": 452
},
{
"lambda": "5/23",
"number": "0.4098951726686266467280227362907800785187117894836874055609992841397484624713872402492215354958187491",
"computed_ball": "[0.4098951726686266467280227362907800785187117894836874055609992841397484624713872402492215354958187490720895952800252630520279239414246399 +/- 5.76e-137]",
"independent_ball": "[0.409895172668626646728022736290780078518711789483687405560999284139748462471387240249221535495818749072089595280025263052028 +/- 5.59e-124]",
"accuracy_bits": 452
},
{
"lambda": "6/23",
"number": "0.4700489571187882773187282547953726311692928641329524114769891896799156585203099534967120973792720436",
"computed_ball": "[0.4700489571187882773187282547953726311692928641329524114769891896799156585203099534967120973792720436215252922181544292682241776576756912 +/- 4.80e-137]",
"independent_ball": "[0.470048957118788277318728254795372631169292864132952411476989189679915658520309953496712097379272043621525292218154429268224 +/- 6.66e-124]",
"accuracy_bits": 453
},
{
"lambda": "7/23",
"number": "0.5230728399610160129077976632075205782938044010513167124505507989136655750882865850508501405924087419",
"computed_ball": "[0.5230728399610160129077976632075205782938044010513167124505507989136655750882865850508501405924087418947153013578246433286927713413635633 +/- 3.02e-137]",
"independent_ball": "[0.523072839961016012907797663207520578293804401051316712450550798913665575088286585050850140592408741894715301357824643328693 +/- 7.11e-124]",
"accuracy_bits": 453
},
{
"lambda": "8/23",
"number": "0.5784908663719955044330918643628201914547251573024629612928088169571397964458666226582538074810478419",
"computed_ball": "[0.5784908663719955044330918643628201914547251573024629612928088169571397964458666226582538074810478418738493937784118296171362249216202666 +/- 3.14e-137]",
"independent_ball": "[0.578490866371995504433091864362820191454725157302462961292808816957139796445866622658253807481047841873849393778411829617136 +/- 7.13e-124]",
"accuracy_bits": 454
},
{
"lambda": "9/23",
"number": "0.6204794362364674922989302318537325660331269776323157492835552697716306488956382693629011551121034392",
"computed_ball": "[0.6204794362364674922989302318537325660331269776323157492835552697716306488956382693629011551121034392020206542171130615451602534157950427 +/- 4.28e-137]",
"independent_ball": "[0.620479436236467492298930231853732566033126977632315749283555269771630648895638269362901155112103439202020654217113061545160 +/- 7.42e-124]",
"accuracy_bits": 453
},
{
"lambda": "10/23",
"number": "0.6684216934097579666123095370020501446803444743713720761678255691001631953141186135466984081392355178",
"computed_ball": "[0.6684216934097579666123095370020501446803444743713720761678255691001631953141186135466984081392355178485522752621276103296134342142964042 +/- 2.48e-137]",
"independent_ball": "[0.668421693409757966612309537002050144680344474371372076167825569100163195314118613546698408139235517848552275262127610329613 +/- 9.23e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/23",
"number": "0.7267950014269281085834097918710602655178179575210446406024245432793359344996124285222419957898145834",
"computed_ball": "[0.7267950014269281085834097918710602655178179575210446406024245432793359344996124285222419957898145833579250939236218466796617694638055977 +/- 5.86e-137]",
"independent_ball": "[0.726795001426928108583409791871060265517817957521044640602424543279335934499612428522241995789814583357925093923621846679662 +/- 7.13e-124]",
"accuracy_bits": 453
},
{
"lambda": "12/23",
"number": "0.7688286856277278785302496019918897285311487165439828710739834917701866979463844160512646358371567718",
"computed_ball": "[0.7688286856277278785302496019918897285311487165439828710739834917701866979463844160512646358371567718405247963835511345599043816404500112 +/- 2.58e-137]",
"independent_ball": "[0.768828685627727878530249601991889728531148716543982871073983491770186697946384416051264635837156771840524796383551134559904 +/- 8.70e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/23",
"number": "0.7925303660383541066454276808606725335458662062716549005858690831327608286158271051178083033773145272",
"computed_ball": "[0.7925303660383541066454276808606725335458662062716549005858690831327608286158271051178083033773145271741249162821551749693137662374675597 +/- 6.22e-137]",
"independent_ball": "[0.792530366038354106645427680860672533545866206271654900585869083132760828615827105117808303377314527174124916282155174969314 +/- 7.17e-124]",
"accuracy_bits": 453
},
{
"lambda": "14/23",
"number": "0.8255858209415170369383163687736870323462061142431317645077997832360091802892741560159931431853169444",
"computed_ball": "[0.8255858209415170369383163687736870323462061142431317645077997832360091802892741560159931431853169443916383740593555876588789292561035917 +/- 2.79e-137]",
"independent_ball": "[0.825585820941517036938316368773687032346206114243131764507799783236009180289274156015993143185316944391638374059355587658879 +/- 5.54e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/23",
"number": "0.8635557138190491618954048593080715942609583642754584664490948062107163820443271502005278377206959843",
"computed_ball": "[0.8635557138190491618954048593080715942609583642754584664490948062107163820443271502005278377206959842794074338024408349739480729799351634 +/- 2.74e-137]",
"independent_ball": "[0.863555713819049161895404859308071594260958364275458466449094806210716382044327150200527837720695984279407433802440834973948 +/- 5.61e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/23",
"number": "0.8975652126858288557491549734461446983798258594780493753178120419427073779592700687488470730347188036",
"computed_ball": "[0.8975652126858288557491549734461446983798258594780493753178120419427073779592700687488470730347188036467351738924893840926387163148525347 +/- 2.68e-137]",
"independent_ball": "[0.897565212685828855749154973446144698379825859478049375317812041942707377959270068748847073034718803646735173892489384092639 +/- 7.67e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/23",
"number": "0.9340728193894175632993278570896173166269032826506101545125027300537834868417374005278903575789885833",
"computed_ball": "[0.9340728193894175632993278570896173166269032826506101545125027300537834868417374005278903575789885832719594582310206199091871838232133116 +/- 2.35e-137]",
"independent_ball": "[0.934072819389417563299327857089617316626903282650610154512502730053783486841737400527890357578988583271959458231020619909187 +/- 6.72e-124]",
"accuracy_bits": 453
},
{
"lambda": "18/23",
"number": "0.9717390771997961173245752698224681841830108704290105235825297652632274871853675738905990985910105976",
"computed_ball": "[0.9717390771997961173245752698224681841830108704290105235825297652632274871853675738905990985910105975504630969212946167216538101961073765 +/- 4.06e-137]",
"independent_ball": "[0.971739077199796117324575269822468184183010870429010523582529765263227487185367573890599098591010597550463096921294616721654 +/- 6.73e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/23",
"number": "1.012884757514640243714224528888727570670181199238341375467085454049729526808408531893399568283860453",
"computed_ball": "[1.0128847575146402437142245288887275706701811992383413754670854540497295268084085318933995682838604533574748510992276041325454346696722618 +/- 6.28e-137]",
"independent_ball": "[1.012884757514640243714224528888727570670181199238341375467085454049729526808408531893399568283860453357474851099227604132545 +/- 9.23e-124]",
"accuracy_bits": 454
},
{
"lambda": "20/23",
"number": "1.057868442761067494988565424092310569489888610295520343107615118825897414260530733357483029222269980",
"computed_ball": "[1.0578684427610674949885654240923105694898886102955203431076151188258974142605307333574830292222699804932003521494243735429987542519756694 +/- 3.92e-137]",
"independent_ball": "[1.057868442761067494988565424092310569489888610295520343107615118825897414260530733357483029222269980493200352149424373542999 +/- 7.29e-124]",
"accuracy_bits": 454
},
{
"lambda": "21/23",
"number": "1.108974293212411603141708198944217677118866544028140483703956882841157766659171254913956686203466979",
"computed_ball": "[1.1089742932124116031417081989442176771188665440281404837039568828411577666591712549139566862034669791795840174610387892088996619387470794 +/- 2.07e-137]",
"independent_ball": "[1.108974293212411603141708198944217677118866544028140483703956882841157766659171254913956686203466979179584017461038789208900 +/- 8.21e-124]",
"accuracy_bits": 454
},
{
"lambda": "22/23",
"number": "1.170284376364164235723173440113009441450825347051997032903178202101415671193993550076667973115439986",
"computed_ball": "[1.1702843763641642357231734401130094414508253470519970329031782021014156711939935500766679731154399859483597836407704625092107187659441489 +/- 6.51e-137]",
"independent_ball": "[1.170284376364164235723173440113009441450825347051997032903178202101415671193993550076667973115439985948359783640770462509211 +/- 7.64e-124]",
"accuracy_bits": 454
},
{
"lambda": "23",
"number": "2.704036974086819190243688847135727895578567636676760752811191632844896405307803426932235541434620532",
"computed_ball": "[2.704036974086819190243688847135727895578567636676760752811191632844896405307803426932235541434620531660211199071352476907181511554618987 +/- 3.04e-136]",
"independent_ball": "[2.7040369740868191902436888471357278955785676366767607528111916328448964053078034269322355414346205316602111990713524769072 +/- 2.96e-122]",
"accuracy_bits": 451
},
{
"lambda": "23/2",
"number": "2.350018717367570605532066697966679861792107897843203125064069189644769773292329285375117291005835361",
"computed_ball": "[2.350018717367570605532066697966679861792107897843203125064069189644769773292329285375117291005835361364697516972098894058673847975827065 +/- 4.29e-136]",
"independent_ball": "[2.35001871736757060553206669796667986179210789784320312506406918964476977329232928537511729100583536136469751697209889405867 +/- 9.47e-123]",
"accuracy_bits": 452
},
{
"lambda": "23/3",
"number": "2.145285261182970346577504344093466599964685455535892194568479089058903497577500793594738238173896723",
"computed_ball": "[2.145285261182970346577504344093466599964685455535892194568479089058903497577500793594738238173896723050874954259852072789285456987907083 +/- 1.52e-136]",
"independent_ball": "[2.14528526118297034657750434409346659996468545553589219456847908905890349757750079359473823817389672305087495425985207278929 +/- 8.24e-123]",
"accuracy_bits": 452
},
{
"lambda": "23/4",
"number": "2.001501772521549136605356888672244591855172966181845247645901994182611339597012071156410742623682977",
"computed_ball": "[2.001501772521549136605356888672244591855172966181845247645901994182611339597012071156410742623682976559012048121136245592595607171360642 +/- 1.19e-136]",
"independent_ball": "[2.00150177252154913660535688867224459185517296618184524764590199418261133959701207115641074262368297655901204812113624559260 +/- 7.17e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/5",
"number": "1.885517794275682574948904586937588361186074231624962065580596707042842927368381305146419063280766246",
"computed_ball": "[1.885517794275682574948904586937588361186074231624962065580596707042842927368381305146419063280766245731612138288116210039328450130553344 +/- 2.98e-136]",
"independent_ball": "[1.88551779427568257494890458693758836118607423162496206558059670704284292736838130514641906328076624573161213828811621003933 +/- 3.77e-123]",
"accuracy_bits": 452
},
{
"lambda": "23/6",
"number": "1.801854335622021729721791643382261752815622645842984243995125227106343357661188155070729706620542834",
"computed_ball": "[1.8018543356220217297217916433822617528156226458429842439951252271063433576611881550707297066205428338825136201695919788615260143544234828 +/- 4.83e-137]",
"independent_ball": "[1.80185433562202172972179164338226175281562264584298424399512522710634335766118815507072970662054283388251362016959197886153 +/- 5.84e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/7",
"number": "1.718667902729052613839906607681853328679643032025754912337524053573472603861513065167079033375057295",
"computed_ball": "[1.7186679027290526138399066076818533286796430320257549123375240535734726038615130651670790333750572947969217044614238280799905344073374223 +/- 7.03e-137]",
"independent_ball": "[1.71866790272905261383990660768185332867964303202575491233752405357347260386151306516707903337505729479692170446142382807999 +/- 2.14e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/8",
"number": "1.663161240819487075245139110043108050432334827244581013716825348751776914781866540142479696508012545",
"computed_ball": "[1.6631612408194870752451391100431080504323348272445810137168253487517769147818665401424796965080125453873170071129340101492666466496582665 +/- 6.39e-137]",
"independent_ball": "[1.66316124081948707524513911004310805043233482724458101371682534875177691478186654014247969650801254538731700711293401014927 +/- 4.74e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/9",
"number": "1.585669670382083591430599481403983224306880053949251359280196800527500547177742243927414063064264345",
"computed_ball": "[1.5856696703820835914305994814039832243068800539492513592801968005275005471777422439274140630642643446273861163326222683931873142848095536 +/- 7.62e-137]",
"independent_ball": "[1.58566967038208359143059948140398322430688005394925135928019680052750054717774224392741406306426434462738611633262226839319 +/- 3.92e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/10",
"number": "1.537369894842443323208311935104715332764792291054155775185998808930375349222472811157406338720241691",
"computed_ball": "[1.5373698948424433232083119351047153327647922910541557751859988089303753492224728111574063387202416910516702331028935037581108986928817296 +/- 5.90e-137]",
"independent_ball": "[1.53736989484244332320831193510471533276479229105415577518599880893037534922247281115740633872024169105167023310289350375811 +/- 2.03e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/11",
"number": "1.519662275710849681583493201184944191537255729362184248532342226856793317590098714182869627560521402",
"computed_ball": "[1.5196622757108496815834932011849441915372557293621842485323422268567933175900987141828696275605214015665706509312093157847473361515935224 +/- 5.83e-137]",
"independent_ball": "[1.51966227571084968158349320118494419153725572936218424853234222685679331759009871418286962756052140156657065093120931578475 +/- 3.68e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/12",
"number": "1.473588314119811767182978403817788646351368373375967169558468359226191171063903464098257218687883813",
"computed_ball": "[1.4735883141198117671829784038177886463513683733759671695584683592261911710639034640982572186878838126943391930684730079064833981441958548 +/- 4.94e-137]",
"independent_ball": "[1.47358831411981176718297840381778864635136837337596716955846835922619117106390346409825721868788381269433919306847300790648 +/- 4.34e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/13",
"number": "1.402169109144780342526525896907343713196532518788312516421152993234884542935694109054583921359864163",
"computed_ball": "[1.4021691091447803425265258969073437131965325187883125164211529932348845429356941090545839213598641634619133134222745403303243556509041442 +/- 4.89e-137]",
"independent_ball": "[1.40216910914478034252652589690734371319653251878831251642115299323488454293569410905458392135986416346191331342227454033032 +/- 5.22e-123]",
"accuracy_bits": 453
},
{
"lambda": "23/14",
"number": "1.356319562975349417827234034413914410283052901970859327405671072459157939046664684883417306661592123",
"computed_ball": "[1.3563195629753494178272340344139144102830529019708593274056710724591579390466646848834173066615921229291201859546556082967296694921701864 +/- 3.25e-137]",
"independent_ball": "[1.35631956297534941782723403441391441028305290197085932740567107245915793904666468488341730666159212292912018595465560829673 +/- 1.13e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/15",
"number": "1.324118761189208714906287450939043111200136158555702981888612036189765119134634963640809351171733843",
"computed_ball": "[1.3241187611892087149062874509390431112001361585557029818886120361897651191346349636408093511717338425617580651637426136267203785692339172 +/- 2.82e-137]",
"independent_ball": "[1.32411876118920871490628745093904311120013615855570298188861203618976511913463496364080935117173384256175806516374261362672 +/- 1.13e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/16",
"number": "1.290249993235878980139410274328833003920999672999695977019354810292641855816450723826467667487408280",
"computed_ball": "[1.2902499932358789801394102743288330039209996729996959770193548102926418558164507238264676674874082802421818124704534896331681547026005187 +/- 6.57e-137]",
"independent_ball": "[1.290249993235878980139410274328833003920999672999695977019354810292641855816450723826467667487408280242181812470453489633168 +/- 8.56e-124]",
"accuracy_bits": 454
},
{
"lambda": "23/17",
"number": "1.263745579173917879757914159591835193083457382409649032575738987719824717491762365420086954371572789",
"computed_ball": "[1.2637455791739178797579141595918351930834573824096490325757389877198247174917623654200869543715727891326510317243220151712532487019944804 +/- 3.20e-137]",
"independent_ball": "[1.263745579173917879757914159591835193083457382409649032575738987719824717491762365420086954371572789132651031724322015171253 +/- 9.09e-124]",
"accuracy_bits": 454
},
{
"lambda": "23/18",
"number": "1.241666598644183927692512844773153790900513889992624557911010255614124011403525233304654403755180208",
"computed_ball": "[1.2416665986441839276925128447731537909005138899926245579110102556141240114035252333046544037551802079811472905105431213665576463616927589 +/- 2.57e-137]",
"independent_ball": "[1.24166659864418392769251284477315379090051388999262455791101025561412401140352523330465440375518020798114729051054312136656 +/- 2.98e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/19",
"number": "1.226123653833511873969850745496880743442850925393781665039103444375988374557547170186746845817304759",
"computed_ball": "[1.2261236538335118739698507454968807434428509253937816650391034443759883745575471701867468458173047593274695565938018365815023682843401064 +/- 6.54e-137]",
"independent_ball": "[1.226123653833511873969850745496880743442850925393781665039103444375988374557547170186746845817304759327469556593801836581502 +/- 9.59e-124]",
"accuracy_bits": 454
},
{
"lambda": "23/20",
"number": "1.216548709175227619236850237706157154913371901839848394573757386649782026399610343361105483605610478",
"computed_ball": "[1.2165487091752276192368502377061571549133719018398483945737573866497820263996103433611054836056104775671804049718380295744485673897720198 +/- 5.50e-137]",
"independent_ball": "[1.21654870917522761923685023770615715491337190183984839457375738664978202639961034336110548360561047756718040497183802957445 +/- 1.99e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/21",
"number": "1.214590892565974612964728027415095551130187167268915767866238490730791839674330422048619227746654311",
"computed_ball": "[1.2145908925659746129647280274150955511301871672689157678662384907307918396743304220486192277466543105300205905525662929430805821233896584 +/- 3.26e-137]",
"independent_ball": "[1.21459089256597461296472802741509555113018716726891576786623849073079183967433042204861922774665431053002059055256629294308 +/- 1.12e-123]",
"accuracy_bits": 454
},
{
"lambda": "23/22",
"number": "1.223479120744353519165135869209055325153135590099815079853322665833298201702811438716516517347959985",
"computed_ball": "[1.2234791207443535191651358692090553251531355900998150798533226658332982017028114387165165173479599853096488647153509380778112059825779738 +/- 2.18e-137]",
"independent_ball": "[1.223479120744353519165135869209055325153135590099815079853322665833298201702811438716516517347959985309648864715350938077811 +/- 7.16e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/24",
"number": "0.1135445225255343255887650887353989897483496066156510054918313388265377601556559765804894189197731652",
"computed_ball": "[0.1135445225255343255887650887353989897483496066156510054918313388265377601556559765804894189197731652017754598587164212482232476282063064 +/- 4.44e-137]",
"independent_ball": "[0.113544522525534325588765088735398989748349606615651005491831338826537760155655976580489418919773165201775459858716421248223 +/- 7.16e-124]",
"accuracy_bits": 450
},
{
"lambda": "5/24",
"number": "0.3984414303654808486104556759490440354650057342488721894825044215546358076786312882514769890318460095",
"computed_ball": "[0.3984414303654808486104556759490440354650057342488721894825044215546358076786312882514769890318460095330979512513409609859725147341314110 +/- 2.25e-137]",
"independent_ball": "[0.398441430365480848610455675949044035465005734248872189482504421554635807678631288251476989031846009533097951251340960985973 +/- 9.48e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/24",
"number": "0.5064776961026333677042527102802947486906278897931827449257251132147043564604103345140079929665714031",
"computed_ball": "[0.5064776961026333677042527102802947486906278897931827449257251132147043564604103345140079929665714031260776298916278831782802863267537727 +/- 3.22e-137]",
"independent_ball": "[0.506477696102633367704252710280294748690627889793182744925725113214704356460410334514007992966571403126077629891627883178280 +/- 7.54e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/24",
"number": "0.6977471429035755235175963229160033031637845532784497220143063151263538468499035493500610702894879372",
"computed_ball": "[0.6977471429035755235175963229160033031637845532784497220143063151263538468499035493500610702894879371525219957778362409671644344158442153 +/- 5.91e-137]",
"independent_ball": "[0.697747142903575523517596322916003303163784553278449722014306315126353846849903549350061070289487937152521995777836240967164 +/- 9.02e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/24",
"number": "0.7776628559146201899255379787845374866037335040958286191143424597273520837303157588995341688153872528",
"computed_ball": "[0.7776628559146201899255379787845374866037335040958286191143424597273520837303157588995341688153872528487396559049581075786288745358642452 +/- 4.04e-137]",
"independent_ball": "[0.777662855914620189925537978784537486603733504095828619114342459727352083730315758899534168815387252848739655904958107578629 +/- 5.88e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/24",
"number": "0.9074759481517166152646823411665670599506989250612810122015433785110368591999864075485027220741813138",
"computed_ball": "[0.9074759481517166152646823411665670599506989250612810122015433785110368591999864075485027220741813137828814359299100327786683740230658776 +/- 1.64e-137]",
"independent_ball": "[0.907475948151716615264682341166567059950698925061281012201543378511036859199986407548502722074181313782881435929910032778668 +/- 8.42e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/24",
"number": "0.9802909039011839296763241427642953212215108490197853287394354397024374390876393307634044837538156977",
"computed_ball": "[0.9802909039011839296763241427642953212215108490197853287394354397024374390876393307634044837538156976558245606766349498769963464430557552 +/- 4.80e-137]",
"independent_ball": "[0.980290903901183929676324142764295321221510849019785328739435439702437439087639330763404483753815697655824560676634949876996 +/- 8.14e-124]",
"accuracy_bits": 453
},
{
"lambda": "23/24",
"number": "1.173182482861307180646967593884613790231371409990808438696483095941093272612894585035357584708646942",
"computed_ball": "[1.1731824828613071806469675938846137902313714099908084386964830959410932726128945850353575847086469421845121148744789201589025621067836518 +/- 6.85e-137]",
"independent_ball": "[1.173182482861307180646967593884613790231371409990808438696483095941093272612894585035357584708646942184512114874478920158903 +/- 9.01e-124]",
"accuracy_bits": 454
},
{
"lambda": "24",
"number": "2.725068540612823814130362129649575753960390558775624131803952131836906243735743437931746054074555965",
"computed_ball": "[2.725068540612823814130362129649575753960390558775624131803952131836906243735743437931746054074555964842611036609194109957357943076951353 +/- 4.42e-136]",
"independent_ball": "[2.7250685406128238141303621296495757539603905587756241318039521318369062437357434379317460540745559648426110366091941099574 +/- 5.32e-122]",
"accuracy_bits": 451
},
{
"lambda": "24/5",
"number": "1.912518865754308073330187244555411370232027524394586509516021223462251876857430183607089547352860846",
"computed_ball": "[1.912518865754308073330187244555411370232027524394586509516021223462251876857430183607089547352860845758870166006436612732668070723830773 +/- 1.96e-136]",
"independent_ball": "[1.91251886575430807333018724455541137023202752439458650951602122346225187685743018360708954735286084575887016600643661273267 +/- 4.15e-123]",
"accuracy_bits": 452
},
{
"lambda": "24/7",
"number": "1.736494958066171546414580720961010566939295622148055125459628959593272079292835432619455975885387668",
"computed_ball": "[1.7364949580661715464145807209610105669392956221480551254596289595932720792928354326194559758853876678608375881998670280398181245488700778 +/- 8.09e-137]",
"independent_ball": "[1.73649495806617154641458072096101056693929562214805512545962895959327207929283543261945597588538766786083758819986702803982 +/- 3.46e-123]",
"accuracy_bits": 453
},
{
"lambda": "24/11",
"number": "1.522357402698710233129301068180370843266439025334799393485759233002953847672516834945587789722519136",
"computed_ball": "[1.5223574026987102331293010681803708432664390253347993934857592330029538476725168349455877897225191356055025362425517984738133114527510151 +/- 2.94e-137]",
"independent_ball": "[1.52235740269871023312930106818037084326643902533479939348575923300295384767251683494558778972251913560550253624255179847381 +/- 4.34e-123]",
"accuracy_bits": 453
},
{
"lambda": "24/13",
"number": "1.435685272457760350631762422371453821422277238330760527595709156419726923809813708737601542428407236",
"computed_ball": "[1.4356852724577603506317624223714538214222772383307605275957091564197269238098137087376015424284072360284424416706918909143917683739032219 +/- 6.75e-137]",
"independent_ball": "[1.43568527245776035063176242237145382142227723833076052759570915641972692380981370873760154242840723602844244167069189091439 +/- 2.64e-123]",
"accuracy_bits": 453
},
{
"lambda": "24/17",
"number": "1.281142515037717574491316246352800555224516129498279076049237710839110860047039634186121489987079502",
"computed_ball": "[1.2811425150377175744913162463528005552245161294982790760492377108391108600470396341861214899870795018111267330775200462757671162678577096 +/- 6.24e-137]",
"independent_ball": "[1.281142515037717574491316246352800555224516129498279076049237710839110860047039634186121489987079501811126733077520046275767 +/- 7.77e-124]",
"accuracy_bits": 454
},
{
"lambda": "24/19",
"number": "1.238262194401495490117462075070688826806118967182886731039286871203078870426491786227458295267977723",
"computed_ball": "[1.2382621944014954901174620750706888268061189671828867310392868712030788704264917862274582952679777233547257608546967787919953849807020066 +/- 2.94e-137]",
"independent_ball": "[1.238262194401495490117462075070688826806118967182886731039286871203078870426491786227458295267977723354725760854696778791995 +/- 9.76e-124]",
"accuracy_bits": 454
},
{
"lambda": "24/23",
"number": "1.224190416898755318935966184923075259371865819120843588205025839242879936639542175689068784043805505",
"computed_ball": "[1.2241904168987553189359661849230752593718658191208435882050258392428799366395421756890687840438055048881865546516301775571157169809916367 +/- 3.26e-137]",
"independent_ball": "[1.224190416898755318935966184923075259371865819120843588205025839242879936639542175689068784043805504888186554651630177557116 +/- 7.66e-124]",
"accuracy_bits": 454
},
{
"lambda": "1/25",
"number": "0.1098100459967129014557469212437291522851078053568228518182813947754146126550090361842173925799769760",
"computed_ball": "[0.1098100459967129014557469212437291522851078053568228518182813947754146126550090361842173925799769760065568894108378672038473014630442246 +/- 3.10e-137]",
"independent_ball": "[0.109810045996712901455746921243729152285107805356822851818281394775414612655009036184217392579976976006556889410837867203847 +/- 7.51e-124]",
"accuracy_bits": 450
},
{
"lambda": "2/25",
"number": "0.1913462185366240292480013085253938404435827436814372594198422832623380126842923875233152700945239344",
"computed_ball": "[0.1913462185366240292480013085253938404435827436814372594198422832623380126842923875233152700945239344455678431665274960081982208415736409 +/- 1.53e-137]",
"independent_ball": "[0.191346218536624029248001308525393840443582743681437259419842283262338012684292387523315270094523934445567843166527496008198 +/- 6.70e-124]",
"accuracy_bits": 451
},
{
"lambda": "3/25",
"number": "0.2625095767738896557894589270470041158192496641370025788329559955396020676130458678249866710637177167",
"computed_ball": "[0.2625095767738896557894589270470041158192496641370025788329559955396020676130458678249866710637177167088565328047905010787996798705702482 +/- 2.21e-137]",
"independent_ball": "[0.262509576773889655789458927047004115819249664137002578832955995539602067613045867824986671063717716708856532804790501078800 +/- 7.64e-124]",
"accuracy_bits": 452
},
{
"lambda": "4/25",
"number": "0.3270828733261111201631335730770956615296520037534205887983214177376077988203961048332706049432293795",
"computed_ball": "[0.3270828733261111201631335730770956615296520037534205887983214177376077988203961048332706049432293794595274108186655356264610231064801865 +/- 4.89e-137]",
"independent_ball": "[0.327082873326111120163133573077095661529652003753420588798321417737607798820396104833270604943229379459527410818665535626461 +/- 4.73e-124]",
"accuracy_bits": 452
},
{
"lambda": "6/25",
"number": "0.4429335202518224765770117975987980884730561532763338519222996990805485462304788675881448974814810199",
"computed_ball": "[0.4429335202518224765770117975987980884730561532763338519222996990805485462304788675881448974814810198575052221916318472546812448616134517 +/- 5.64e-137]",
"independent_ball": "[0.442933520251822476577011797598798088473056153276333851922299699080548546230478867588144897481481019857505222191631847254681 +/- 6.94e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/25",
"number": "0.4918504284561862531631898031953091318115959431979185191683236620919011187775268566947909520266269650",
"computed_ball": "[0.4918504284561862531631898031953091318115959431979185191683236620919011187775268566947909520266269650248969102849924595762711593772367503 +/- 2.57e-137]",
"independent_ball": "[0.491850428456186253163189803195309131811595943197918519168323662091901118777526856694790952026626965024896910284992459576271 +/- 6.09e-124]",
"accuracy_bits": 452
},
{
"lambda": "8/25",
"number": "0.5464939686087275201839494877894227480831382900536862425549300475279018634662585992631413013400653797",
"computed_ball": "[0.5464939686087275201839494877894227480831382900536862425549300475279018634662585992631413013400653797423687057507914283153579175735247752 +/- 4.69e-137]",
"independent_ball": "[0.546493968608727520183949487789422748083138290053686242554930047527901863466258599263141301340065379742368705750791428315358 +/- 5.27e-124]",
"accuracy_bits": 453
},
{
"lambda": "9/25",
"number": "0.5883260492843834831781907481942115544937591432720992852323276729496194073506112105027259749117905923",
"computed_ball": "[0.5883260492843834831781907481942115544937591432720992852323276729496194073506112105027259749117905923378268557582054265065276624237452636 +/- 4.34e-137]",
"independent_ball": "[0.588326049284383483178190748194211554493759143272099285232327672949619407350611210502725974911790592337826855758205426506528 +/- 7.82e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/25",
"number": "0.6745670627213394841549694105037496594170009939940854134987094342274938225570399665790142079642906422",
"computed_ball": "[0.6745670627213394841549694105037496594170009939940854134987094342274938225570399665790142079642906421623221159979064684958640204609598396 +/- 1.72e-137]",
"independent_ball": "[0.674567062721339484154969410503749659417000993994085413498709434227493822557039966579014207964290642162322115997906468495864 +/- 4.70e-124]",
"accuracy_bits": 453
},
{
"lambda": "12/25",
"number": "0.7296277535809346787145999806290295175587395153812612203923979642632323407679717630348606008771155256",
"computed_ball": "[0.7296277535809346787145999806290295175587395153812612203923979642632323407679717630348606008771155256163040298368212163129813474238593020 +/- 3.08e-137]",
"independent_ball": "[0.729627753580934678714599980629029517558739515381261220392397964263232340767971763034860600877115525616304029836821216312981 +/- 7.97e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/25",
"number": "0.7683291058283071850690627567662531094534987000611268972367472827477519463988015478533130270257322584",
"computed_ball": "[0.7683291058283071850690627567662531094534987000611268972367472827477519463988015478533130270257322583920379743297148739673672767650488210 +/- 4.01e-137]",
"independent_ball": "[0.768329105828307185069062756766253109453498700061126897236747282747751946398801547853313027025732258392037974329714873967367 +/- 7.26e-124]",
"accuracy_bits": 453
},
{
"lambda": "14/25",
"number": "0.7889389809617536150870727140551273005775770641466971111435321907714280194378550670632209854035661023",
"computed_ball": "[0.7889389809617536150870727140551273005775770641466971111435321907714280194378550670632209854035661023262942232092930930685517499720370446 +/- 4.91e-137]",
"independent_ball": "[0.788938980961753615087072714055127300577577064146697111143532190771428019437855067063220985403566102326294223209293093068552 +/- 6.94e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/25",
"number": "0.8516567140514614196284438038040536244120873238240901950672852240220222650511058513032697345740352231",
"computed_ball": "[0.8516567140514614196284438038040536244120873238240901950672852240220222650511058513032697345740352231194708309559470332270056321358488066 +/- 3.53e-137]",
"independent_ball": "[0.851656714051461419628443803804053624412087323824090195067285224022022265051105851303269734574035223119470830955947033227006 +/- 8.12e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/25",
"number": "0.8869306944252738222942063021630373294700927502777712773126668430470334778086042799328982628644743070",
"computed_ball": "[0.8869306944252738222942063021630373294700927502777712773126668430470334778086042799328982628644743069687114112027089448250752139851358860 +/- 6.40e-137]",
"independent_ball": "[0.886930694425273822294206302163037329470092750277771277312666843047033477808604279932898262864474306968711411202708944825075 +/- 6.63e-124]",
"accuracy_bits": 453
},
{
"lambda": "18/25",
"number": "0.9170828150129028643366711405108878471430024772162220573951151563882395272594574023448989541794390115",
"computed_ball": "[0.9170828150129028643366711405108878471430024772162220573951151563882395272594574023448989541794390114740800994651619789514035878560012667 +/- 1.60e-137]",
"independent_ball": "[0.917082815012902864336671140510887847143002477216222057395115156388239527259457402344898954179439011474080099465161978951404 +/- 8.57e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/25",
"number": "0.9523966022014893942694636929047196309672138668299593264430643426134145626123951321478292613689496093",
"computed_ball": "[0.9523966022014893942694636929047196309672138668299593264430643426134145626123951321478292613689496093334110199263923046597130934038862889 +/- 4.29e-137]",
"independent_ball": "[0.952396602201489394269463692904719630967213866829959326443064342613414562612395132147829261368949609333411019926392304659713 +/- 5.43e-124]",
"accuracy_bits": 453
},
{
"lambda": "21/25",
"number": "1.026820413270696350457663166351664215839026925062166452882127098413755820807117311552164777661309672",
"computed_ball": "[1.0268204132706963504576631663516642158390269250621664528821270984137558208071173115521647776613096716284443389311194701883769247373537646 +/- 5.21e-137]",
"independent_ball": "[1.026820413270696350457663166351664215839026925062166452882127098413755820807117311552164777661309671628444338931119470188377 +/- 5.20e-124]",
"accuracy_bits": 454
},
{
"lambda": "22/25",
"number": "1.069484885888333471399312321287148404533930668952521494425549233604843274906280183741410621064976941",
"computed_ball": "[1.0694848858883334713993123212871484045339306689525214944255492336048432749062801837414106210649769414330860121202834909037816604033381392 +/- 3.45e-137]",
"independent_ball": "[1.069484885888333471399312321287148404533930668952521494425549233604843274906280183741410621064976941433086012120283490903782 +/- 7.84e-124]",
"accuracy_bits": 454
},
{
"lambda": "23/25",
"number": "1.117931994476300537695747664305603034861335095414155146985370680537640884580087320924598804543159291",
"computed_ball": "[1.1179319944763005376957476643056030348613350954141551469853706805376408845800873209245988045431592914976322786526211354299873394979099330 +/- 5.61e-137]",
"independent_ball": "[1.117931994476300537695747664305603034861335095414155146985370680537640884580087320924598804543159291497632278652621135429987 +/- 7.89e-124]",
"accuracy_bits": 454
},
{
"lambda": "24/25",
"number": "1.175882023268526196893387582067485683287857735295014921136197138921030390844911755727236858655421610",
"computed_ball": "[1.1758820232685261968933875820674856832878577352950149211361971389210303908449117557272368586554216101952688416525574897193400239478425551 +/- 3.74e-137]",
"independent_ball": "[1.175882023268526196893387582067485683287857735295014921136197138921030390844911755727236858655421610195268841652557489719340 +/- 4.73e-124]",
"accuracy_bits": 454
},
{
"lambda": "25",
"number": "2.745251149917822536393673031093228807127695133920571295457034869385365316375225904605434814499424400",
"computed_ball": "[2.745251149917822536393673031093228807127695133920571295457034869385365316375225904605434814499424400163922235270946680096182536576105615 +/- 7.53e-136]",
"independent_ball": "[2.7452511499178225363936730310932288071276951339205712954570348693853653163752259046054348144994244001639222352709466800962 +/- 2.86e-122]",
"accuracy_bits": 451
},
{
"lambda": "25/2",
"number": "2.391827731707800365600016356567423005544784296017965742748028540779225158553654844041440876181549181",
"computed_ball": "[2.391827731707800365600016356567423005544784296017965742748028540779225158553654844041440876181549180569598039581593700102477760519670511 +/- 4.29e-136]",
"independent_ball": "[2.39182773170780036560001635656742300554478429601796574274802854077922515855365484404144087618154918056959803958159370010248 +/- 7.79e-123]",
"accuracy_bits": 452
},
{
"lambda": "25/3",
"number": "2.187579806449080464912157725391700965160413867808354823607966629496683896775382231874888925530980973",
"computed_ball": "[2.187579806449080464912157725391700965160413867808354823607966629496683896775382231874888925530980972573804440039920842323330665588085402 +/- 3.59e-136]",
"independent_ball": "[2.18757980644908046491215772539170096516041386780835482360796662949668389677538223187488892553098097257380444003992084232333 +/- 4.41e-123]",
"accuracy_bits": 452
},
{
"lambda": "25/4",
"number": "2.044267958288194501019584831731847884560325023458878679989508860860048742627475655207941280895183622",
"computed_ball": "[2.0442679582881945010195848317318478845603250234588786799895088608600487426274756552079412808951836216220463176166595976653813944155011654 +/- 7.64e-137]",
"independent_ball": "[2.04426795828819450101958483173184788456032502345887867998950886086004874262747565520794128089518362162204631761665959766538 +/- 4.21e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/6",
"number": "1.845556334382593652404215823328325368637733971984724383009582079502285609293661948283937072839504249",
"computed_ball": "[1.8455563343825936524042158233283253686377339719847243830095820795022856092936619482839370728395042494062717591317993635611718535900560489 +/- 8.59e-137]",
"independent_ball": "[1.84555633438259365240421582332832536863773397198472438300958207950228560929366194828393707283950424940627175913179936356117 +/- 3.73e-123]",
"accuracy_bits": 452
},
{
"lambda": "25/7",
"number": "1.756608673057808047011392154268961185041414082849708997029727364613932567062595916767110542952239161",
"computed_ball": "[1.7566086730578080470113921542689611850414140828497089970297273646139325670625959167671105429522391608032032510178302127723969977758455368 +/- 7.65e-137]",
"independent_ball": "[1.75660867305780804701139215426896118504141408284970899702972736461393256706259591676711054295223916080320325101783021277240 +/- 4.59e-123]",
"accuracy_bits": 452
},
{
"lambda": "25/8",
"number": "1.707793651902273500574842149341946087759807156417769507984156398524693323332058122697316566687704312",
"computed_ball": "[1.7077936519022735005748421493419460877598071564177695079841563985246933233320581226973165666877043116949022054712232134854934924172649226 +/- 4.50e-137]",
"independent_ball": "[1.70779365190227350057484214934194608775980715641776950798415639852469332333205812269731656668770431169490220547122321348549 +/- 4.90e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/9",
"number": "1.634239025789954119939418744983920984704886509089164681200910202637831687085031140285349930310529423",
"computed_ball": "[1.6342390257899541199394187449839209847048865090891646812009102026378316870850311402853499303105294231606301548839039625181323956215146210 +/- 5.88e-137]",
"independent_ball": "[1.63423902578995411993941874498392098470488650908916468120091020263783168708503114028534993031052942316063015488390396251813 +/- 3.65e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/11",
"number": "1.533106960730317009443112296599431044129547713622921394315248714153395051265999924043214109009751459",
"computed_ball": "[1.5331069607303170094431122965994310441295477136229213943152487141533950512659999240432141090097514594598229909043328829451455010476359991 +/- 3.00e-137]",
"independent_ball": "[1.53310696073031700944311229659943104412954771362292139431524871415339505126599992404321410900975145945982299090433288294515 +/- 5.51e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/12",
"number": "1.520057819960280580655416626310478161580707323710960875817495758881734043266607839655959585160657345",
"computed_ball": "[1.5200578199602805806554166263104781615807073237109608758174957588817340432666078396559595851606573450339667288267108673187111404663735458 +/- 3.01e-137]",
"independent_ball": "[1.52005781996028058065541662631047816158070732371096087581749575888173404326660783965595958516065734503396672882671086731871 +/- 2.08e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/13",
"number": "1.477555972746744586671274532242794441256728269348320956224514005284138358459233745871755821203331266",
"computed_ball": "[1.4775559727467445866712745322427944412567282693483209562245140052841383584592337458717558212033312661385345660186824499372447630097092711 +/- 2.40e-137]",
"independent_ball": "[1.47755597274674458667127453224279444125672826934832095622451400528413835845923374587175582120333126613853456601868244993724 +/- 5.63e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/14",
"number": "1.408819608860274312655486989384155893888530471690530555613450340663264320424741191184323188220653754",
"computed_ball": "[1.4088196088602743126554869893841558938885304716905305556134503406632643204247411911843231882206537541540968271594519519081281249500661510 +/- 3.22e-137]",
"independent_ball": "[1.408819608860274312655486989384155893888530471690530555613450340663264320424741191184323188220653754154096827159451951908128 +/- 9.27e-124]",
"accuracy_bits": 453
},
{
"lambda": "25/16",
"number": "1.330713615705408468169443443443833788143886443475140929792633162534409789142352892661358960271930036",
"computed_ball": "[1.3307136157054084681694434434438337881438864434751409297926331625344097891423528926613589602719300361241731733686672394171963002122637603 +/- 6.75e-137]",
"independent_ball": "[1.33071361570540846816944344344383378814388644347514092979263316253440978914235289266135896027193003612417317336866723941720 +/- 4.40e-123]",
"accuracy_bits": 454
},
{
"lambda": "25/17",
"number": "1.304309844743049738667950444357407837456018750408487172518627710363284526189123941077791563035991628",
"computed_ball": "[1.3043098447430497386679504443574078374560187504084871725186277103632845261891239410777915630359916278951638400039837423898164911546115970 +/- 3.58e-137]",
"independent_ball": "[1.30430984474304973866795044435740783745601875040848717251862771036328452618912394107779156303599162789516384000398374238982 +/- 4.17e-123]",
"accuracy_bits": 453
},
{
"lambda": "25/18",
"number": "1.273726131962365089356487695154010898809725662800308413048771050539221565638135281034581880804776405",
"computed_ball": "[1.2737261319623650893564876951540108988097256628003084130487710505392215656381352810345818808047764048251112492571694152102827609111128704 +/- 3.72e-137]",
"independent_ball": "[1.273726131962365089356487695154010898809725662800308413048771050539221565638135281034581880804776404825111249257169415210283 +/- 8.56e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/19",
"number": "1.253153423949328150354557490664104777588439298460472797951400450807124424489993594931354291274933696",
"computed_ball": "[1.2531534239493281503545574906641047775884392984604727979514004508071244244899935949313542912749336964913302893768319798154119650051135380 +/- 2.94e-137]",
"independent_ball": "[1.253153423949328150354557490664104777588439298460472797951400450807124424489993594931354291274933696491330289376831979815412 +/- 6.20e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/21",
"number": "1.222405253893686131497218055180552637903603482216864824859675117159233120008472989943053306739654371",
"computed_ball": "[1.2224052538936861314972180551805526379036034822168648248596751171592331200084729899430533067396543709862432606322850835575915770682782912 +/- 5.27e-137]",
"independent_ball": "[1.22240525389368613149721805518055263790360348221686482485967511715923312000847298994305330673965437098624326063228508355759 +/- 2.12e-123]",
"accuracy_bits": 454
},
{
"lambda": "25/22",
"number": "1.215323733964015308408309456008123186970375760173319880029033220005503721484409299706148433028382888",
"computed_ball": "[1.2153237339640153084083094560081231869703757601733198800290332200055037214844092997061484330283828879921431955912312396633882504583387945 +/- 4.69e-137]",
"independent_ball": "[1.215323733964015308408309456008123186970375760173319880029033220005503721484409299706148433028382887992143195591231239663388 +/- 7.61e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/23",
"number": "1.215143472256848410538856156853916342240581625450168638027576826671348787587051435787607396242564447",
"computed_ball": "[1.2151434722568484105388561568539163422405816254501686380275768266713487875870514357876073962425644472800350854919794950325949342368586229 +/- 5.21e-137]",
"independent_ball": "[1.215143472256848410538856156853916342240581625450168638027576826671348787587051435787607396242564447280035085491979495032595 +/- 5.49e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/24",
"number": "1.224877107571381455097278731320297586758185140932307209516872019709406657130116412215871727766064177",
"computed_ball": "[1.2248771075713814550972787313202975867581851409323072095168720197094066571301164122158717277660641772867383767214140517909791916123359949 +/- 3.52e-137]",
"independent_ball": "[1.224877107571381455097278731320297586758185140932307209516872019709406657130116412215871727766064177286738376721414051790979 +/- 6.59e-124]",
"accuracy_bits": 453
},
{
"lambda": "1/26",
"number": "0.1063327185197584821170901029260966873227443564437505236021581731398175083396210405917472064310752051",
"computed_ball": "[0.1063327185197584821170901029260966873227443564437505236021581731398175083396210405917472064310752050807120112189535125670236104350961250 +/- 4.63e-137]",
"independent_ball": "[0.106332718519758482117090102926096687322744356443750523602158173139817508339621040591747206431075205080712011218953512567024 +/- 8.17e-124]",
"accuracy_bits": 450
},
{
"lambda": "3/26",
"number": "0.2546544906724847565607429405775366994781934509615621956866584736354357910252305059895140571060119572",
"computed_ball": "[0.2546544906724847565607429405775366994781934509615621956866584736354357910252305059895140571060119572323969703399227020682091068374564248 +/- 5.01e-137]",
"independent_ball": "[0.254654490672484756560742940577536699478193450961562195686658473635435791025230505989514057106011957232396970339922702068209 +/- 5.39e-124]",
"accuracy_bits": 452
},
{
"lambda": "5/26",
"number": "0.3757622365257475454404958286180406720993327310839467837950628434279455770683592050344978814364898760",
"computed_ball": "[0.3757622365257475454404958286180406720993327310839467837950628434279455770683592050344978814364898760421931550465396540528892140234270489 +/- 4.73e-137]",
"independent_ball": "[0.375762236525747545440495828618040672099332731083946783795062843427945577068359205034497881436489876042193155046539654052889 +/- 6.46e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/26",
"number": "0.4788721022453008258600553384887159681733108389015858821628628551593602016701383166820513146588093891",
"computed_ball": "[0.4788721022453008258600553384887159681733108389015858821628628551593602016701383166820513146588093890944446358180051856621083199867275922 +/- 5.36e-137]",
"independent_ball": "[0.478872102245300825860055338488715968173310838901585882162862855159360201670138316682051314658809389094444635818005185662108 +/- 7.52e-124]",
"accuracy_bits": 452
},
{
"lambda": "9/26",
"number": "0.5773734996858752673081030660073648227876154072684467888479261973668276258332725540206664314086023691",
"computed_ball": "[0.5773734996858752673081030660073648227876154072684467888479261973668276258332725540206664314086023690975426034299038876949257761607143095 +/- 2.14e-137]",
"independent_ball": "[0.577373499685875267308103066007364822787615407268446788847926197366827625833272554020666431408602369097542603429903887694926 +/- 6.51e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/26",
"number": "0.6549246189252186595571614405323575895793652574193042172406966309898444991872447210515357247298184101",
"computed_ball": "[0.6549246189252186595571614405323575895793652574193042172406966309898444991872447210515357247298184101207021390682172780615746643871441026 +/- 5.76e-137]",
"independent_ball": "[0.654924618925218659557161440532357589579365257419304217240696630989844499187244721051535724729818410120702139068217278061575 +/- 7.63e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/26",
"number": "0.8008815507972906996188853188417791139660178939911657614704049019864345353838707407515221933976005357",
"computed_ball": "[0.8008815507972906996188853188417791139660178939911657614704049019864345353838707407515221933976005356528759019544852772970275527583590223 +/- 4.80e-137]",
"independent_ball": "[0.800881550797290699618885318841779113966017893991165761470404901986434535383870740751522193397600535652875901954485277297028 +/- 8.75e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/26",
"number": "0.8653279698856992534503352000944097253176612896308011469173311619428962177759716883024256997417980050",
"computed_ball": "[0.8653279698856992534503352000944097253176612896308011469173311619428962177759716883024256997417980049981501587457591614384824299477671775 +/- 5.68e-137]",
"independent_ball": "[0.865327969885699253450335200094409725317661289630801146917331161942896217775971688302425699741798004998150158745759161438482 +/- 8.62e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/26",
"number": "0.9263162211052808184997575621090246319220753200589628418376185305739926902918876201758368475981510687",
"computed_ball": "[0.9263162211052808184997575621090246319220753200589628418376185305739926902918876201758368475981510686989035887200662768681359137959133369 +/- 5.89e-137]",
"independent_ball": "[0.926316221105280818499757562109024631922075320058962841837618530573992690291887620175836847598151068698903588720066276868136 +/- 5.14e-124]",
"accuracy_bits": 453
},
{
"lambda": "21/26",
"number": "0.9953496440993240256091380086293046571611215751232001634146075616919653418522949885182074455004856083",
"computed_ball": "[0.9953496440993240256091380086293046571611215751232001634146075616919653418522949885182074455004856082694595600725922103779049368549158959 +/- 5.93e-137]",
"independent_ball": "[0.995349644099324025609138008629304657161121575123200163414607561691965341852294988518207445500485608269459560072592210377905 +/- 4.91e-124]",
"accuracy_bits": 453
},
{
"lambda": "23/26",
"number": "1.074726245660598267546623062696527167337160652506419530267852520393236200996326873282469978059608241",
"computed_ball": "[1.0747262456605982675466230626965271673371606525064195302678525203932362009963268732824699780596082413955010338124410170949469604942329881 +/- 3.28e-137]",
"independent_ball": "[1.074726245660598267546623062696527167337160652506419530267852520393236200996326873282469978059608241395501033812441017094947 +/- 4.67e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/26",
"number": "1.178403450930018191232953512204370105504727561125258223467023841948564704746593021756488015670205994",
"computed_ball": "[1.1784034509300181912329535122043701055047275611252582234670238419485647047465930217564880156702059936531564524859119820309593380775043497 +/- 5.59e-137]",
"independent_ball": "[1.178403450930018191232953512204370105504727561125258223467023841948564704746593021756488015670205993653156452485911982030959 +/- 7.70e-124]",
"accuracy_bits": 453
},
{
"lambda": "26",
"number": "2.764650681513720535044342676078513870391353267537513613656112501635255216830147055385427367207955332",
"computed_ball": "[2.764650681513720535044342676078513870391353267537513613656112501635255216830147055385427367207955332098512291692791326742613871312499251 +/- 5.11e-136]",
"independent_ball": "[2.7646506815137205350443426760785138703913532675375136136561125016352552168301470553854273672079553320985122916927913267426 +/- 2.51e-122]",
"accuracy_bits": 451
},
{
"lambda": "26/3",
"number": "2.207005585828201223526438818338651395477676575000205695951040104840443522218664385242455161585436963",
"computed_ball": "[2.207005585828201223526438818338651395477676575000205695951040104840443522218664385242455161585436962680773742945996751257812259257955682 +/- 1.98e-136]",
"independent_ball": "[2.20700558582820122352643881833865139547767657500020569595104010484044352221866438524245516158543696268077374294599675125781 +/- 6.01e-123]",
"accuracy_bits": 452
},
{
"lambda": "26/5",
"number": "1.953963629933887236290578308813811494916530201636523275734326785825317000755467866179388983469747355",
"computed_ball": "[1.9539636299338872362905783088138114949165302016365232757343267858253170007554678661793889834697473554194044062420062010750239129218206541 +/- 7.08e-137]",
"independent_ball": "[1.95396362993388723629057830881381149491653020163652327573432678582531700075546786617938898346974735541940440624200620107502 +/- 6.16e-123]",
"accuracy_bits": 452
},
{
"lambda": "26/7",
"number": "1.778667808339688781765919828672373596072297401634461848033490604877623606203370890533333454447006302",
"computed_ball": "[1.7786678083396887817659198286723735960722974016344618480334906048776236062033708905333334544470063023507943616097335467449737599507024855 +/- 8.22e-137]",
"independent_ball": "[1.77866780833968878176591982867237359607229740163446184803349060487762360620337089053333345444700630235079436160973354674497 +/- 5.37e-123]",
"accuracy_bits": 452
},
{
"lambda": "26/9",
"number": "1.667967887981417438890075524021276154719777843219957390005120125726390919073898489393036357402629066",
"computed_ball": "[1.6679678879814174388900755240212761547197778432199573900051201257263909190738984893930363574026290662817897432419445644520077977976191163 +/- 4.52e-137]",
"independent_ball": "[1.66796788798141743889007552402127615471977784321995739000512012572639091907389848939303635740262906628178974324194456445201 +/- 3.44e-123]",
"accuracy_bits": 453
},
{
"lambda": "26/11",
"number": "1.548003644732335013498745223076481575369408790263809968023464764157814270806214795212720803906843515",
"computed_ball": "[1.5480036447323350134987452230764815753694087902638099680234647641578142708062147952127208039068435148307505105248772026909946612787042424 +/- 3.59e-137]",
"independent_ball": "[1.54800364473233501349874522307648157536940879026380996802346476415781427080621479521272080390684351483075051052487720269099 +/- 5.69e-123]",
"accuracy_bits": 453
},
{
"lambda": "26/15",
"number": "1.388194688048637212672734552659083797541097682918020653215368496776486527998709283969305135222507595",
"computed_ball": "[1.3881946880486372126727345526590837975410976829180206532153684967764865279987092839693051352225075951316515633877744806481810914478223053 +/- 6.36e-137]",
"independent_ball": "[1.388194688048637212672734552659083797541097682918020653215368496776486527998709283969305135222507595131651563387774480648181 +/- 8.40e-124]",
"accuracy_bits": 453
},
{
"lambda": "26/17",
"number": "1.323442777472245917041689129556156050485834913552989989402977071206782450716191993874298129016867537",
"computed_ball": "[1.3234427774722459170416891295561560504858349135529899894029770712067824507161919938742981290168675370559943604346904822000319516848203892 +/- 4.12e-137]",
"independent_ball": "[1.323442777472245917041689129556156050485834913552989989402977071206782450716191993874298129016867537055994360434690482200032 +/- 7.02e-124]",
"accuracy_bits": 453
},
{
"lambda": "26/19",
"number": "1.267590618354594804262826137622875812103892543238580730935688515522305786715214638135355686186943568",
"computed_ball": "[1.2675906183545948042628261376228758121038925432385807309356885155223057867152146381353556861869435676932364898274591157142912504575656189 +/- 6.44e-137]",
"independent_ball": "[1.267590618354594804262826137622875812103892543238580730935688515522305786715214638135355686186943567693236489827459115714291 +/- 8.41e-124]",
"accuracy_bits": 453
},
{
"lambda": "26/21",
"number": "1.232337654599163079325599439255329575532817188247771630894276028761480899436174747689209218238696467",
"computed_ball": "[1.2323376545991630793255994392553295755328171882477716308942760287614808994361747476892092182386964673812356458041617842774061122965625378 +/- 5.44e-137]",
"independent_ball": "[1.232337654599163079325599439255329575532817188247771630894276028761480899436174747689209218238696467381235645804161784277406 +/- 6.47e-124]",
"accuracy_bits": 454
},
{
"lambda": "26/23",
"number": "1.214907929877198041574443462178682884815920737615952512476702849140180053300195595884531279545644099",
"computed_ball": "[1.2149079298771980415744434621786828848159207376159525124767028491401800533001955958845312795456440989688272556140637584551574336021764213 +/- 6.73e-137]",
"independent_ball": "[1.214907929877198041574443462178682884815920737615952512476702849140180053300195595884531279545644098968827255614063758455157 +/- 9.22e-124]",
"accuracy_bits": 454
},
{
"lambda": "26/25",
"number": "1.225539588967218918882271652692544909724916663570268552405704795626507292936456742626747536297014233",
"computed_ball": "[1.2255395889672189188822716526925449097249166635702685524057047956265072929364567426267475362970142333992827105853484613121977116006045237 +/- 4.63e-137]",
"independent_ball": "[1.225539588967218918882271652692544909724916663570268552405704795626507292936456742626747536297014233399282710585348461312198 +/- 7.33e-124]",
"accuracy_bits": 453
},
{
"lambda": "1/27",
"number": "0.1030861345482404730272402759990559437231775083338578882549203667915826920495313239257535405542600006",
"computed_ball": "[0.1030861345482404730272402759990559437231775083338578882549203667915826920495313239257535405542600006056518965178784464049941411333947423 +/- 6.20e-137]",
"independent_ball": "[0.103086134548240473027240275999055943723177508333857888254920366791582692049531323925753540554260000605651896517878446404994 +/- 5.57e-124]",
"accuracy_bits": 450
},
{
"lambda": "2/27",
"number": "0.1800303017672037480764384975415141433362985135844484992527130311181941030481169322335179931473014681",
"computed_ball": "[0.1800303017672037480764384975415141433362985135844484992527130311181941030481169322335179931473014680689498153776595031119627247327049665 +/- 2.36e-137]",
"independent_ball": "[0.180030301767203748076438497541514143336298513584448499252713031118194103048116932233517993147301468068949815377659503111963 +/- 6.86e-124]",
"accuracy_bits": 451
},
{
"lambda": "4/27",
"number": "0.3084794633539171300659611789291106408696994519170535288485930210605191465792351622770356589523994816",
"computed_ball": "[0.3084794633539171300659611789291106408696994519170535288485930210605191465792351622770356589523994816273796237103015170723060453287683817 +/- 1.92e-137]",
"independent_ball": "[0.308479463353917130065961178929110640869699451917053528848593021060519146579235162277035658952399481627379623710301517072306 +/- 4.61e-124]",
"accuracy_bits": 452
},
{
"lambda": "5/27",
"number": "0.3643171023177429546035818082833351496249820252000648804377195746205927033568607419099547869629027399",
"computed_ball": "[0.3643171023177429546035818082833351496249820252000648804377195746205927033568607419099547869629027399180494031137132360259121015457442736 +/- 6.05e-137]",
"independent_ball": "[0.364317102317742954603581808283335149624982025200064880437719574620592703356860741909954786962902739918049403113713236025912 +/- 5.18e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/27",
"number": "0.4685459133833767285873813221318173121373043372777479668586374030387707951278965515342881794120932208",
"computed_ball": "[0.4685459133833767285873813221318173121373043372777479668586374030387707951278965515342881794120932208001766356257435331158035559774935656 +/- 5.72e-137]",
"independent_ball": "[0.468545913383376728587381322131817312137304337277747966858637403038770795127896551534288179412093220800176635625743533115804 +/- 8.55e-124]",
"accuracy_bits": 452
},
{
"lambda": "8/27",
"number": "0.5123158786636937927147578928528553339427912114017707751244501890453030952953101357339603310740866686",
"computed_ball": "[0.5123158786636937927147578928528553339427912114017707751244501890453030952953101357339603310740866686027703334214041072375191280337347706 +/- 5.80e-137]",
"independent_ball": "[0.512315878663693792714757892852855333942791211401770775124450189045303095295310135733960331074086668602770333421404107237519 +/- 5.44e-124]",
"accuracy_bits": 453
},
{
"lambda": "10/27",
"number": "0.5982496625859616365402348157893894165310354592190225749049906584304298059676736421864497070501741398",
"computed_ball": "[0.5982496625859616365402348157893894165310354592190225749049906584304298059676736421864497070501741397612112729012743935666913886906357015 +/- 4.60e-137]",
"independent_ball": "[0.598249662585961636540234815789389416531035459219022574904990658430429805967673642186449707050174139761211272901274393566691 +/- 8.05e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/27",
"number": "0.6381141668058088419151317863092793364793978593402456351840540897594675695055548955219122897698087122",
"computed_ball": "[0.6381141668058088419151317863092793364793978593402456351840540897594675695055548955219122897698087122183603558891068082275148212667443910 +/- 1.44e-137]",
"independent_ball": "[0.638114166805808841915131786309279336479397859340245635184054089759467569505554895521912289769808712218360355889106808227515 +/- 5.90e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/27",
"number": "0.7320957912975030639913843161829391649013972738737537658266361746062218780206207220860468755982519231",
"computed_ball": "[0.7320957912975030639913843161829391649013972738737537658266361746062218780206207220860468755982519230950696306771790399707988817559242598 +/- 4.56e-137]",
"independent_ball": "[0.732095791297503063991384316182939164901397273873753765826636174606221878020620722086046875598251923095069630677179039970799 +/- 5.30e-124]",
"accuracy_bits": 453
},
{
"lambda": "14/27",
"number": "0.7679545713541857783366564167476442319708659640582410558810626602806729544308409294983705705255072712",
"computed_ball": "[0.7679545713541857783366564167476442319708659640582410558810626602806729544308409294983705705255072712199690109861434422718736876029203784 +/- 5.44e-137]",
"independent_ball": "[0.767954571354185778336656416747644231970865964058241055881062660280672954430840929498370570525507271219969010986143442271874 +/- 7.24e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/27",
"number": "0.8130524459737826918852095509610691119134351435514140410409418337188727844417108665476468715984503479",
"computed_ball": "[0.8130524459737826918852095509610691119134351435514140410409418337188727844417108665476468715984503478523855720610704874742274335965565402 +/- 5.81e-137]",
"independent_ball": "[0.813052445973782691885209550961069111913435143551414041040941833718872784441710866547646871598450347852385572061070487474227 +/- 8.50e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/27",
"number": "0.8424932149109360441780312494334406816369069666405154332901700036777370329180560581634080842174440862",
"computed_ball": "[0.8424932149109360441780312494334406816369069666405154332901700036777370329180560581634080842174440861633890406257699269093027381326740407 +/- 6.44e-137]",
"independent_ball": "[0.842493214910936044178031249433440681636906966640515433290170003677737032918056058163408084217444086163389040625769926909303 +/- 6.73e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/27",
"number": "0.9037405845807721037031083561980696066921880829190555377733028460365850788444588814375440284912919837",
"computed_ball": "[0.9037405845807721037031083561980696066921880829190555377733028460365850788444588814375440284912919836902710986419565969278300393890384048 +/- 5.77e-137]",
"independent_ball": "[0.903740584580772103703108356198069606692188082919055537773302846036585078844458881437544028491291983690271098641956596927830 +/- 4.55e-124]",
"accuracy_bits": 453
},
{
"lambda": "20/27",
"number": "0.9356498589655283824875187038270968957374940068882940375657786721224386519076248290947423278855469355",
"computed_ball": "[0.9356498589655283824875187038270968957374940068882940375657786721224386519076248290947423278855469354554945032319598123933252039372230995 +/- 3.01e-137]",
"independent_ball": "[0.935649858965528382487518703827096895737494006888294037565778672122438651907624829094742327885546935455494503231959812393325 +/- 6.20e-124]",
"accuracy_bits": 453
},
{
"lambda": "22/27",
"number": "1.001869520632016981888706121003150440444703382193496496038459020797345080040354458360276808444185703",
"computed_ball": "[1.0018695206320169818887061210031504404447033821934964960384590207973450800403544583602768084441857033876798085773210970346999026473372428 +/- 5.20e-137]",
"independent_ball": "[1.001869520632016981888706121003150440444703382193496496038459020797345080040354458360276808444185703387679808577321097034700 +/- 5.09e-124]",
"accuracy_bits": 454
},
{
"lambda": "23/27",
"number": "1.038959034615108704994133667169227724980813879085703040379776689591993529599041125803254644223454661",
"computed_ball": "[1.0389590346151087049941336671692277249808138790857030403797766895919935295990411258032546442234546613451311813804871396743410918938046967 +/- 6.60e-137]",
"independent_ball": "[1.038959034615108704994133667169227724980813879085703040379776689591993529599041125803254644223454661345131181380487139674341 +/- 5.08e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/27",
"number": "1.125777498398742686141739109997889910125142097428519801360186291465721404858916427813860576452595649",
"computed_ball": "[1.1257774983987426861417391099978899101251420974285198013601862914657214048589164278138605764525956488740436957534818521096563118630837817 +/- 3.89e-137]",
"independent_ball": "[1.125777498398742686141739109997889910125142097428519801360186291465721404858916427813860576452595648874043695753481852109656 +/- 7.28e-124]",
"accuracy_bits": 454
},
{
"lambda": "26/27",
"number": "1.180764451579370098988250251175023574572938499456680584329816358968928902742133968381403888719665054",
"computed_ball": "[1.1807644515793700989882502511750235745729384994566805843298163589689289027421339683814038887196650535767687592962065556336138758610963956 +/- 5.23e-137]",
"independent_ball": "[1.180764451579370098988250251175023574572938499456680584329816358968928902742133968381403888719665053576768759296206555633614 +/- 5.36e-124]",
"accuracy_bits": 453
},
{
"lambda": "27",
"number": "2.783325632802492771735487451974510480525792725014162982882849903372732685337345745995345594965020016",
"computed_ball": "[2.783325632802492771735487451974510480525792725014162982882849903372732685337345745995345594965020016352601205982718052934841810601658041 +/- 5.33e-136]",
"independent_ball": "[2.7833256328024927717354874519745104805257927250141629828828499033727326853373457459953455949650200163526012059827180529348 +/- 5.31e-122]",
"accuracy_bits": 450
},
{
"lambda": "27/2",
"number": "2.430409073857250599031919716810440935040029933390054739911625920095620391149578585152492907488569819",
"computed_ball": "[2.430409073857250599031919716810440935040029933390054739911625920095620391149578585152492907488569818930822507598403292011496783891517048 +/- 5.59e-136]",
"independent_ball": "[2.43040907385725059903191971681044093504002993339005473991162592009562039114957858515249290748856981893082250759840329201150 +/- 8.77e-123]",
"accuracy_bits": 451
},
{
"lambda": "27/4",
"number": "2.082236377638940627945237957771496825870471300440111319728002892158504239409837345369990697928696501",
"computed_ball": "[2.082236377638940627945237957771496825870471300440111319728002892158504239409837345369990697928696500984812460044535240238065805969186577 +/- 5.68e-136]",
"independent_ball": "[2.08223637763894062794523795777149682587047130044011131972800289215850423940983734536999069792869650098481246004453524023807 +/- 6.97e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/5",
"number": "1.967312352515811954859341764730009807974902936080350354363685702951200598127048006313755849599674796",
"computed_ball": "[1.9673123525158119548593417647300098079749029360803503543636857029512005981270480063137558495996747955574667768140514745399253483470190772 +/- 8.57e-137]",
"independent_ball": "[1.96731235251581195485934176473000980797490293608035035436368570295120059812704800631375584959967479555746677681405147453993 +/- 6.87e-123]",
"accuracy_bits": 452
},
{
"lambda": "27/7",
"number": "1.807248523050167381694185099651295346815316729499885015026172840292401638350458127346540120589502423",
"computed_ball": "[1.8072485230501673816941850996512953468153167294998850150261728402924016383504581273465401205895024230863955945564393420180994301989037529 +/- 8.96e-137]",
"independent_ball": "[1.80724852305016738169418509965129534681531672949988501502617284029240163835045812734654012058950242308639559455643934201810 +/- 2.16e-123]",
"accuracy_bits": 452
},
{
"lambda": "27/8",
"number": "1.729066090489966550412307888378386752056920338480976366045019388027897946621671708102116117375042507",
"computed_ball": "[1.7290660904899665504123078883783867520569203384809763660450193880278979466216717081021161173750425065343498752972388619266270571138548509 +/- 6.93e-137]",
"independent_ball": "[1.72906609048996655041230788837838675205692033848097636604501938802789794662167170810211611737504250653434987529723886192663 +/- 4.33e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/10",
"number": "1.615274088982096418658634002631351424633795739891360952243474777762160476112718833903414209035470177",
"computed_ball": "[1.6152740889820964186586340026313514246337957398913609522434747777621604761127188339034142090354701773552704368334408626300667494647163940 +/- 7.41e-137]",
"independent_ball": "[1.61527408898209641865863400263135142463379573989136095224347477776216047611271883390341420903547017735527043683344086263007 +/- 4.36e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/11",
"number": "1.566280227614258066518959839122776553176703836562421104542678220318693125149998379917421074889530475",
"computed_ball": "[1.5662802276142580665189598391227765531767038365624211045426782203186931251499983799174210748895304754450663280914439838311727431092816870 +/- 3.64e-137]",
"independent_ball": "[1.56628022761425806651895983912277655317670383656242110454267822031869312514999837991742107488953047544506632809144398383117 +/- 3.77e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/13",
"number": "1.520506643464044825212875118226104419410594338045488590563013593412922362042827653563328126242523225",
"computed_ball": "[1.5205066434640448252128751182261044194105943380454885905630135934129223620428276535633281262425232248897600021756795445547361390315350012 +/- 4.02e-137]",
"independent_ball": "[1.52050664346404482521287511822610441941059433804548859056301359341292236204282765356332812624252322488976000217567954455474 +/- 4.72e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/14",
"number": "1.481055244754501143934980232299028161658098644969464893484906559112726412116621792604000386013478309",
"computed_ball": "[1.4810552447545011439349802322990281616580986449694648934849065591127264121166217926040003860134783087813688069018480672386135403770607297 +/- 3.19e-137]",
"independent_ball": "[1.48105524475450114393498023229902816165809864496946489348490655911272641211662179260400038601347830878136880690184806723861 +/- 4.35e-123]",
"accuracy_bits": 453
},
{
"lambda": "27/16",
"number": "1.372026002580758292556291117246804126353921804743011194256589344400597823745387087299154095822384962",
"computed_ball": "[1.3720260025807582925562911172468041263539218047430111942565893444005978237453870872991540958223849620009006528530564476127587941941891615 +/- 3.48e-137]",
"independent_ball": "[1.372026002580758292556291117246804126353921804743011194256589344400597823745387087299154095822384962000900652853056447612759 +/- 9.00e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/17",
"number": "1.338077458976192540753343749100170494364499299958465688166740594076405875811030210024236369051234725",
"computed_ball": "[1.3380774589761925407533437491001704943644992999584656881667405940764058758110302100242363690512347250830296527585757662677161135048352410 +/- 5.75e-137]",
"independent_ball": "[1.338077458976192540753343749100170494364499299958465688166740594076405875811030210024236369051234725083029652758575766267716 +/- 7.74e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/19",
"number": "1.284262935983202463157048716702519967404688328358657869467325096999357743621073147305983619434993872",
"computed_ball": "[1.2842629359832024631570487167025199674046883283586578694673250969993577436210731473059836194349938715598589296490962166869163717633703648 +/- 4.69e-137]",
"independent_ball": "[1.284262935983202463157048716702519967404688328358657869467325096999357743621073147305983619434993871559858929649096216686916 +/- 9.63e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/20",
"number": "1.263127309603463316358150250166580809245616909299196950713801207365292180075293519277902142645488363",
"computed_ball": "[1.2631273096034633163581502501665808092456169092991969507138012073652921800752935192779021426454883628649175793631457467309890253152511843 +/- 2.83e-137]",
"independent_ball": "[1.263127309603463316358150250166580809245616909299196950713801207365292180075293519277902142645488362864917579363145746730989 +/- 5.87e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/22",
"number": "1.229567138957475386863412057594775540545772332692018426956290616433105325504071380714885173999682454",
"computed_ball": "[1.2295671389574753868634120575947755405457723326920184269562906164331053255040713807148851739996824541576070377994395281789498805217320708 +/- 6.86e-137]",
"independent_ball": "[1.229567138957475386863412057594775540545772332692018426956290616433105325504071380714885173999682454157607037799439528178950 +/- 6.24e-124]",
"accuracy_bits": 454
},
{
"lambda": "27/23",
"number": "1.219647562374258044993113435372571677151390205883216612619737852999296752138004799855994582349272863",
"computed_ball": "[1.2196475623742580449931134353725716771513902058832166126197378529992967521380047998559945823492728633181974737944849030959656296144663831 +/- 6.06e-137]",
"independent_ball": "[1.219647562374258044993113435372571677151390205883216612619737852999296752138004799855994582349272863318197473794484903095966 +/- 8.53e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/25",
"number": "1.215839698270642101033078238797721102935153465222801385469001194782979117247629742038969422568803301",
"computed_ball": "[1.2158396982706421010330782387977211029351534652228013854690011947829791172476297420389694225688033007839671914137604002784288168121304843 +/- 6.84e-137]",
"independent_ball": "[1.215839698270642101033078238797721102935153465222801385469001194782979117247629742038969422568803300783967191413760400278429 +/- 6.28e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/26",
"number": "1.226178468947807410487798337758678327441128441743475991419424680467733860539908351780688653670421402",
"computed_ball": "[1.2261784689478074104877983377586783274411284417434759914194246804677338605399083517806886536704214017912598654229837308502913326249847185 +/- 6.15e-137]",
"independent_ball": "[1.226178468947807410487798337758678327441128441743475991419424680467733860539908351780688653670421401791259865422983730850291 +/- 7.64e-124]",
"accuracy_bits": 453
},
{
"lambda": "1/28",
"number": "0.1000474350825759446667755146476602878035282593895698755136773673323395903427743285478219874876957769",
"computed_ball": "[0.1000474350825759446667755146476602878035282593895698755136773673323395903427743285478219874876957768846949852847639966074153778488136906 +/- 5.13e-137]",
"independent_ball": "[0.100047435082575944666775514647660287803528259389569875513677367332339590342774328547821987487695776884694985284763996607415 +/- 7.79e-124]",
"accuracy_bits": 450
},
{
"lambda": "3/28",
"number": "0.2404860952899713197696615329734626361841222517919768452332741667188864029218315382043693054041903854",
"computed_ball": "[0.2404860952899713197696615329734626361841222517919768452332741667188864029218315382043693054041903853772017512975660982683956158912792572 +/- 3.98e-137]",
"independent_ball": "[0.240486095289971319769661532973462636184122251791976845233274166718886402921831538204369305404190385377201751297566098268396 +/- 7.81e-124]",
"accuracy_bits": 451
},
{
"lambda": "5/28",
"number": "0.3545179208867229738037832122983582072090950830933798766635371150622658382453554250228768408539703414",
"computed_ball": "[0.3545179208867229738037832122983582072090950830933798766635371150622658382453554250228768408539703414214661122500426690426083411027811397 +/- 2.33e-137]",
"independent_ball": "[0.354517920886722973803783212298358207209095083093379876663537115062265838245355425022876840853970341421466112250042669042608 +/- 7.42e-124]",
"accuracy_bits": 452
},
{
"lambda": "9/28",
"number": "0.5489092404841465815094663174807904042220872614017682145312845332033577802446993139263369258383562089",
"computed_ball": "[0.5489092404841465815094663174807904042220872614017682145312845332033577802446993139263369258383562088520043529489711849177772197444689109 +/- 5.98e-137]",
"independent_ball": "[0.548909240484146581509466317480790404222087261401768214531284533203357780244699313926336925838356208852004352948971184917777 +/- 6.21e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/28",
"number": "0.6223438115110872212835894417331094796126044754341219805690224151579498817652623184685136662077173924",
"computed_ball": "[0.6223438115110872212835894417331094796126044754341219805690224151579498817652623184685136662077173923869383255934417141797490165343073199 +/- 1.81e-137]",
"independent_ball": "[0.622343811511087221283589441733109479612604475434121980569022415157949881765262318468513666207717392386938325593441714179749 +/- 4.18e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/28",
"number": "0.7058732868712672432146170107649209016504909141181794583613551696004482686359817661513721711471281836",
"computed_ball": "[0.7058732868712672432146170107649209016504909141181794583613551696004482686359817661513721711471281836196892489899295154812029027459865306 +/- 3.23e-137]",
"independent_ball": "[0.705873286871267243214617010764920901650490914118179458361355169600448268635981766151372171147128183619689248989929515481203 +/- 4.94e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/28",
"number": "0.7745295414699116716406756080715634633966002041255259994719259117318709185427167413518018638777656948",
"computed_ball": "[0.7745295414699116716406756080715634633966002041255259994719259117318709185427167413518018638777656947984474948112470325008257165287848386 +/- 4.87e-137]",
"independent_ball": "[0.774529541469911671640675608071563463396600204125525999471925911731870918542716741351801863877765694798447494811247032500826 +/- 6.80e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/28",
"number": "0.8244825246154645396943603602697165780339804545295329601769230913032311682180104096826648339929186274",
"computed_ball": "[0.8244825246154645396943603602697165780339804545295329601769230913032311682180104096826648339929186273650661550122849523586667711659510403 +/- 3.34e-137]",
"independent_ball": "[0.824482524615464539694360360269716578033980454529532960176923091303231168218010409682664833992918627365066155012284952358667 +/- 6.26e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/28",
"number": "0.8861037704102971784635627072624255617045480122809205037012288731432449281541258436602452145240714093",
"computed_ball": "[0.8861037704102971784635627072624255617045480122809205037012288731432449281541258436602452145240714092540363483733430877943822804491973472 +/- 6.35e-137]",
"independent_ball": "[0.886103770410297178463562707262425561704548012280920503701228873143244928154125843660245214524071409254036348373343087794382 +/- 6.81e-124]",
"accuracy_bits": 453
},
{
"lambda": "23/28",
"number": "1.008232912520947874877744207021089146678631892107545918445656150304574431876351041593864494385701875",
"computed_ball": "[1.0082329125209478748777442070210891466786318921075459184456561503045744318763510415938644943857018754383544200925357575992006143899953197 +/- 2.60e-137]",
"independent_ball": "[1.008232912520947874877744207021089146678631892107545918445656150304574431876351041593864494385701875438354420092535757599201 +/- 7.83e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/28",
"number": "1.084308967673164887530588940940374581052203406709342379539248690463906845339491817523064700897867928",
"computed_ball": "[1.0843089676731648875305889409403745810522034067093423795392486904639068453394918175230647008978679279173074072663131093137103571303283663 +/- 3.39e-137]",
"independent_ball": "[1.084308967673164887530588940940374581052203406709342379539248690463906845339491817523064700897867927917307407266313109313710 +/- 7.58e-124]",
"accuracy_bits": 454
},
{
"lambda": "27/28",
"number": "1.182980401475525261790424787306291896509820578396155923612268051989399505698745621561338672520724618",
"computed_ball": "[1.1829804014755252617904247873062918965098205783961559236122680519893995056987456215613386725207246182442020819895588973112656611697787616 +/- 2.70e-137]",
"independent_ball": "[1.182980401475525261790424787306291896509820578396155923612268051989399505698745621561338672520724618244202081989558897311266 +/- 7.36e-124]",
"accuracy_bits": 453
},
{
"lambda": "28",
"number": "2.801328182312126450669714410134488058498791262907956514382966285305508529597681199339015649655481753",
"computed_ball": "[2.801328182312126450669714410134488058498791262907956514382966285305508529597681199339015649655481752771459587973391905007630579766783338 +/- 5.58e-136]",
"independent_ball": "[2.8013281823121264506697144101344880584987912629079565143829662853055085295976811993390156496554817527714595879733919050076 +/- 4.19e-122]",
"accuracy_bits": 450
},
{
"lambda": "28/3",
"number": "2.244536889373065651183507641085651271051807683391783888843892222709606427270427689907446850439110264",
"computed_ball": "[2.244536889373065651183507641085651271051807683391783888843892222709606427270427689907446850439110263520549678777283583838359081651939734 +/- 2.42e-136]",
"independent_ball": "[2.24453688937306565118350764108565127105180768339178388884389222270960642727042768990744685043911026352054967877728358383836 +/- 4.62e-123]",
"accuracy_bits": 452
},
{
"lambda": "28/5",
"number": "1.985300356965648653301185988870805960370932465322927309315807844348688694173990380128110308782233912",
"computed_ball": "[1.985300356965648653301185988870805960370932465322927309315807844348688694173990380128110308782233911960210228600238946638606710175574382 +/- 3.46e-136]",
"independent_ball": "[1.98530035696564865330118598887080596037093246532292730931580784434868869417399038012811030878223391196021022860023894663861 +/- 5.51e-123]",
"accuracy_bits": 452
},
{
"lambda": "28/9",
"number": "1.707717637061789364696117432162459035357604813249945556319551881077113094094620087770825991497108205",
"computed_ball": "[1.7077176370617893646961174321624590353576048132499455563195518810771130940946200877708259914971082053173468758412436864108624614272366115 +/- 8.80e-137]",
"independent_ball": "[1.70771763706178936469611743216245903535760481324994555631955188107711309409462008777082599149710820531734687584124368641086 +/- 3.71e-123]",
"accuracy_bits": 453
},
{
"lambda": "28/11",
"number": "1.584147883846403835994591306229733220832084119286855950539329784038417880857031356101671150346916999",
"computed_ball": "[1.5841478838464038359945913062297332208320841192868559505393297840384178808570313561016711503469169988031157378742152724575429511782368143 +/- 5.52e-137]",
"independent_ball": "[1.58414788384640383599459130622973322083208411928685595053932978403841788085703135610167115034691699880311573787421527245754 +/- 3.98e-123]",
"accuracy_bits": 453
},
{
"lambda": "28/13",
"number": "1.520342464030421754616098177032137326631826584254540371855226519139427040139037650172186214778429934",
"computed_ball": "[1.5203424640304217546160981770321373266318265842545403718552265191394270401390376501721862147784299339500999209013866487287447136067402197 +/- 4.46e-137]",
"independent_ball": "[1.52034246403042175461609817703213732663182658425454037185522651913942704013903765017218621477842993395009992090138664872874 +/- 5.58e-123]",
"accuracy_bits": 453
},
{
"lambda": "28/15",
"number": "1.445788477410501787062594468400251798340320381034315199014261701899492381279737917190030145905162630",
"computed_ball": "[1.4457884774105017870625944684002517983403203810343151990142617018994923812797379171900301459051626302904353236476611273348746708537316988 +/- 4.33e-137]",
"independent_ball": "[1.44578847741050178706259446840025179834032038103431519901426170189949238127973791719003014590516263029043532364766112733487 +/- 5.42e-123]",
"accuracy_bits": 453
},
{
"lambda": "28/17",
"number": "1.357971217013706300673064122797180246173614866283936640291402738617086630006134792418506785400101269",
"computed_ball": "[1.3579712170137063006730641227971802461736148662839366402914027386170866300061347924185067854001012686012854317849399215319217407439193605 +/- 4.87e-137]",
"independent_ball": "[1.357971217013706300673064122797180246173614866283936640291402738617086630006134792418506785400101268601285431784939921531922 +/- 9.13e-124]",
"accuracy_bits": 453
},
{
"lambda": "28/19",
"number": "1.305837135341490578788408200176206090933018123361356531770232023579518841490290716972992947719684182",
"computed_ball": "[1.3058371353414905787884082001762060909330181233613565317702320235795188414902907169729929477196841820585798818133477083285633606619750379 +/- 3.29e-137]",
"independent_ball": "[1.305837135341490578788408200176206090933018123361356531770232023579518841490290716972992947719684182058579881813347708328563 +/- 9.51e-124]",
"accuracy_bits": 453
},
{
"lambda": "28/23",
"number": "1.227413980460284369416384252025673743782682303435273292020798791675134090979905615853400254034767501",
"computed_ball": "[1.2274139804602843694163842520256737437826823034352732920207987916751340909799056158534002540347675005336488592430870092512007479530377805 +/- 3.64e-137]",
"independent_ball": "[1.227413980460284369416384252025673743782682303435273292020798791675134090979905615853400254034767500533648859243087009251201 +/- 7.35e-124]",
"accuracy_bits": 453
},
{
"lambda": "28/25",
"number": "1.214426043793944674034259613853219530778467815514463465083958533319575666780230835625832465005612079",
"computed_ball": "[1.2144260437939446740342596138532195307784678155144634650839585333195756667802308356258324650056120792673842961382706824313555999859677703 +/- 5.21e-137]",
"independent_ball": "[1.214426043793944674034259613853219530778467815514463465083958533319575666780230835625832465005612079267384296138270682431356 +/- 8.45e-124]",
"accuracy_bits": 453
},
{
"lambda": "28/27",
"number": "1.226794490419063234449329409058376781565739859077495031894203905766784672576476940878425290021492197",
"computed_ball": "[1.2267944904190632344493294090583767815657398590774950318942039057667846725764769408784252900214921966976910479891721898042755004723631602 +/- 4.20e-137]",
"independent_ball": "[1.226794490419063234449329409058376781565739859077495031894203905766784672576476940878425290021492196697691047989172189804276 +/- 9.11e-124]",
"accuracy_bits": 453
},
{
"lambda": "1/29",
"number": "0.09719672648835399627026570495754973986442038971015395311699006134576292677338971911715973210958332096",
"computed_ball": "[0.0971967264883539962702657049575497398644203897101539531169900613457629267733897191171597321095833209618412827486722159858637677984518297 +/- 2.02e-137]",
"independent_ball": "[0.097196726488353996270265704957549739864420389710153953116990061345762926773389719117159732109583320961841282748672215985864 +/- 6.15e-124]",
"accuracy_bits": 450
},
{
"lambda": "2/29",
"number": "0.1700845211083431691335601689533705120304519398269952071353919068497732926159430406235829921778528281",
"computed_ball": "[0.1700845211083431691335601689533705120304519398269952071353919068497732926159430406235829921778528281321622055207053499360144200772138595 +/- 1.70e-137]",
"independent_ball": "[0.170084521108343169133560168953370512030451939826995207135391906849773292615943040623582992177852828132162205520705349936014 +/- 8.08e-124]",
"accuracy_bits": 451
},
{
"lambda": "3/29",
"number": "0.2339932467294271061538321237607093803529867133296220903565982407848977178610838866182022339161628080",
"computed_ball": "[0.2339932467294271061538321237607093803529867133296220903565982407848977178610838866182022339161628079946324295378768347084173905731083933 +/- 2.07e-137]",
"independent_ball": "[0.233993246729427106153832123760709380352986713329622090356598240784897717861083886618202233916162807994632429537876834708417 +/- 7.78e-124]",
"accuracy_bits": 451
},
{
"lambda": "4/29",
"number": "0.2922422966952260226308126660835423348578691758659569391298745172032475162377549690981884983618595036",
"computed_ball": "[0.2922422966952260226308126660835423348578691758659569391298745172032475162377549690981884983618595036223701340171599279656979814042601779 +/- 2.04e-137]",
"independent_ball": "[0.292242296695226022630812666083542334857869175865956939129874517203247516237754969098188498361859503622370134017159927965698 +/- 4.02e-124]",
"accuracy_bits": 452
},
{
"lambda": "5/29",
"number": "0.3461392977978521670665682986277862391250376411142008809038801004379433399571578232156439132575845381",
"computed_ball": "[0.3461392977978521670665682986277862391250376411142008809038801004379433399571578232156439132575845380973311399519220437537505560297739729 +/- 3.80e-137]",
"independent_ball": "[0.346139297797852167066568298627786239125037641114200880903880100437943339957157823215643913257584538097331139951922043753751 +/- 8.27e-124]",
"accuracy_bits": 452
},
{
"lambda": "6/29",
"number": "0.3968318587024627677784980108360430782451064534010180924192774621655367616066891061214489144941909209",
"computed_ball": "[0.3968318587024627677784980108360430782451064534010180924192774621655367616066891061214489144941909209499463563408641757826043681037312664 +/- 4.55e-137]",
"independent_ball": "[0.396831858702462767778498010836043078245106453401018092419277462165536761606689106121448914494190920949946356340864175782604 +/- 7.56e-124]",
"accuracy_bits": 452
},
{
"lambda": "7/29",
"number": "0.4452968953156480996199589860200447208894592920343137828361361727506558285036533487825544822712796275",
"computed_ball": "[0.4452968953156480996199589860200447208894592920343137828361361727506558285036533487825544822712796275102426513934786450572066816208024313 +/- 2.54e-137]",
"independent_ball": "[0.445296895315648099619958986020044720889459292034313782836136172750655828503653348782554482271279627510242651393478645057207 +/- 7.01e-124]",
"accuracy_bits": 452
},
{
"lambda": "8/29",
"number": "0.4866668720248198075630960041003552540579119386089242928762167992026351307684846839805845743819451634",
"computed_ball": "[0.4866668720248198075630960041003552540579119386089242928762167992026351307684846839805845743819451633853665433241593923406176689682808613 +/- 1.79e-137]",
"independent_ball": "[0.486666872024819807563096004100355254057911938608924292876216799202635130768484683980584574381945163385366543324159392340618 +/- 7.14e-124]",
"accuracy_bits": 452
},
{
"lambda": "9/29",
"number": "0.5315080003164396118450780002391990138632720642348034758910207188013436400052004178790865564214030390",
"computed_ball": "[0.5315080003164396118450780002391990138632720642348034758910207188013436400052004178790865564214030389550887745686908732010353584801798570 +/- 3.33e-137]",
"independent_ball": "[0.531508000316439611845078000239199013863272064234803475891020718801343640005200417879086556421403038955088774568690873201035 +/- 7.46e-124]",
"accuracy_bits": 453
},
{
"lambda": "10/29",
"number": "0.5765518820451163518590257141301549028368103173670470070580331481615803053446747469408335879902342834",
"computed_ball": "[0.5765518820451163518590257141301549028368103173670470070580331481615803053446747469408335879902342834410264182523695691911919234040593659 +/- 2.83e-137]",
"independent_ball": "[0.576551882045116351859025714130154902836810317367047007058033148161580305344674746940833587990234283441026418252369569191192 +/- 4.60e-124]",
"accuracy_bits": 453
},
{
"lambda": "11/29",
"number": "0.6073626403856100572267670325862387204556847332740823818628959176015909112192863910960174318805828066",
"computed_ball": "[0.6073626403856100572267670325862387204556847332740823818628959176015909112192863910960174318805828066464844594681674065584959520965282706 +/- 4.81e-137]",
"independent_ball": "[0.607362640385610057226767032586238720455684733274082381862895917601590911219286391096017431880582806646484459468167406558496 +/- 4.31e-124]",
"accuracy_bits": 453
},
{
"lambda": "12/29",
"number": "0.6445725157563080078105725941553078984903775515591101929612330286800904557869069123885521592958955583",
"computed_ball": "[0.6445725157563080078105725941553078984903775515591101929612330286800904557869069123885521592958955582728834444722804547807465098156653517 +/- 4.33e-137]",
"independent_ball": "[0.644572515756308007810572594155307898490377551559110192961233028680090455786906912388552159295895558272883444472280454780747 +/- 8.73e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/29",
"number": "0.6847489730860354835001573751290130807400209053142771162568233586268393725229786503034245138576504630",
"computed_ball": "[0.6847489730860354835001573751290130807400209053142771162568233586268393725229786503034245138576504630157440996633902749756875345701117883 +/- 2.31e-137]",
"independent_ball": "[0.684748973086035483500157375129013080740020905314277116256823358626839372522978650303424513857650463015744099663390274975688 +/- 8.49e-124]",
"accuracy_bits": 453
},
{
"lambda": "14/29",
"number": "0.7342675045476539300639372043817118983001292967539901530971450350637131384055466787705738042489887430",
"computed_ball": "[0.7342675045476539300639372043817118983001292967539901530971450350637131384055466787705738042489887429891975666139658187016428887577839270 +/- 4.51e-137]",
"independent_ball": "[0.734267504547653930063937204381711898300129296753990153097145035063713138405546678770573804248988742989197566613965818701643 +/- 4.94e-124]",
"accuracy_bits": 453
},
{
"lambda": "15/29",
"number": "0.7676728557855525841535211617554929877222927582384595018676201650526651549069716021059426941398334151",
"computed_ball": "[0.7676728557855525841535211617554929877222927582384595018676201650526651549069716021059426941398334151292648794043916498353579688449352917 +/- 6.33e-137]",
"independent_ball": "[0.767672855785552584153521161755492987722292758238459501867620165052665154906971602105942694139833415129264879404391649835358 +/- 4.14e-124]",
"accuracy_bits": 453
},
{
"lambda": "16/29",
"number": "0.7836000892498630231322879065834132279436188769714365950083691048204509580635538244028642775681184149",
"computed_ball": "[0.7836000892498630231322879065834132279436188769714365950083691048204509580635538244028642775681184149118842193662022193707754969781457882 +/- 6.13e-137]",
"independent_ball": "[0.783600089249863023132287906583413227943618876971436595008369104820450958063553824402864277568118414911884219366202219370775 +/- 8.84e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/29",
"number": "0.8077978940634136453849022547009357250370733354464325923214195563319947472089021701384592540973627543",
"computed_ball": "[0.8077978940634136453849022547009357250370733354464325923214195563319947472089021701384592540973627542905313043135992925555590004279783716 +/- 3.55e-137]",
"independent_ball": "[0.807797894063413645384902254700935725037073335446432592321419556331994747208902170138459254097362754290531304313599292555559 +/- 3.88e-124]",
"accuracy_bits": 453
},
{
"lambda": "18/29",
"number": "0.8349865276859460132350195075336378691109999865091865042080309670228366247328159654059068293413243464",
"computed_ball": "[0.8349865276859460132350195075336378691109999865091865042080309670228366247328159654059068293413243464318700449744842897186618782856686294 +/- 5.31e-137]",
"independent_ball": "[0.834986527685946013235019507533637869110999986509186504208030967022836624732815965405906829341324346431870044974484289718662 +/- 5.05e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/29",
"number": "0.8667698632103241986784261003380835987280596175166738991780407113521679432288954277934756519485659429",
"computed_ball": "[0.8667698632103241986784261003380835987280596175166738991780407113521679432288954277934756519485659429012581433591564786803306923865716982 +/- 5.09e-137]",
"independent_ball": "[0.866769863210324198678426100338083598728059617516673899178040711352167943228895427793475651948565942901258143359156478680331 +/- 6.91e-124]",
"accuracy_bits": 453
},
{
"lambda": "20/29",
"number": "0.8932088753010485852033732951681978099892928983653822195478149174798657460582844530407140008746478972",
"computed_ball": "[0.8932088753010485852033732951681978099892928983653822195478149174798657460582844530407140008746478972125323975688474189886588404173193350 +/- 1.94e-137]",
"independent_ball": "[0.893208875301048585203373295168197809989292898365382219547814917479865746058284453040714000874647897212532397568847418988659 +/- 5.43e-124]",
"accuracy_bits": 453
},
{
"lambda": "21/29",
"number": "0.9205333438149398589114550144513659983219305506031537452624492379948346986484082151084794479755030451",
"computed_ball": "[0.9205333438149398589114550144513659983219305506031537452624492379948346986484082151084794479755030451107079996156234228765823940051891032 +/- 5.35e-137]",
"independent_ball": "[0.920533343814939858911455014451365998321930550603153745262449237994834698648408215108479447975503045110707999615623422876582 +/- 7.81e-124]",
"accuracy_bits": 453
},
{
"lambda": "22/29",
"number": "0.9513564186137004210180957477265075433981472140291894404247546040198598656094341151156632481665270415",
"computed_ball": "[0.9513564186137004210180957477265075433981472140291894404247546040198598656094341151156632481665270415249267966132006678543070949815051590 +/- 3.38e-137]",
"independent_ball": "[0.951356418613700421018095747726507543398147214029189440424754604019859865609434115115663248166527041524926796613200667854307 +/- 4.82e-124]",
"accuracy_bits": 453
},
{
"lambda": "23/29",
"number": "0.9817191417638892838269733385136592331072410310515955299319122161311553480859725898618011325912890547",
"computed_ball": "[0.9817191417638892838269733385136592331072410310515955299319122161311553480859725898618011325912890547446497044459255200210514964317543488 +/- 4.47e-137]",
"independent_ball": "[0.981719141763889283826973338513659233107241031051595529931912216131155348085972589861801132591289054744649704445925520021051 +/- 8.84e-124]",
"accuracy_bits": 453
},
{
"lambda": "24/29",
"number": "1.014420225752314433293051129003097388065652980104429252033563266076806098795207055069703486128583761",
"computed_ball": "[1.0144202257523144332930511290030973880656529801044292520335632660768060987952070550697034861285837608870475431028358225441830018531737030 +/- 3.02e-137]",
"independent_ball": "[1.014420225752314433293051129003097388065652980104429252033563266076806098795207055069703486128583760887047543102835822544183 +/- 3.89e-124]",
"accuracy_bits": 454
},
{
"lambda": "25/29",
"number": "1.049792167965731262827086670926913635168038753956227309763927972651482453135006905914859387998887707",
"computed_ball": "[1.0497921679657312628270866709269136351680387539562273097639279726514824531350069059148593879988877068755736703125392886720846331492816220 +/- 2.37e-137]",
"independent_ball": "[1.049792167965731262827086670926913635168038753956227309763927972651482453135006905914859387998887706875573670312539288672085 +/- 7.50e-124]",
"accuracy_bits": 454
},
{
"lambda": "26/29",
"number": "1.088681970294322116960111609328725596299504530365364686061847035578400721036751941570704880332888396",
"computed_ball": "[1.0886819702943221169601116093287255962995045303653646860618470355784007210367519415707048803328883958348735559234931109654152504023399606 +/- 5.57e-137]",
"independent_ball": "[1.088681970294322116960111609328725596299504530365364686061847035578400721036751941570704880332888395834873555923493110965415 +/- 6.37e-124]",
"accuracy_bits": 453
},
{
"lambda": "27/29",
"number": "1.132713897107366543987175461402828929640131614304576584687448500030298370844487435950972543425439500",
"computed_ball": "[1.1327138971073665439871754614028289296401316143045765846874485000302983708444874359509725434254395001127155265088856124339480382635977400 +/- 6.31e-137]",
"independent_ball": "[1.132713897107366543987175461402828929640131614304576584687448500030298370844487435950972543425439500112715526508885612433948 +/- 4.25e-124]",
"accuracy_bits": 453
},
{
"lambda": "28/29",
"number": "1.185064736742255453982837117423704829501096048772433105567726769266843038192405858872503409488733092",
"computed_ball": "[1.1850647367422554539828371174237048295010960487724331055677267692668430381924058588725034094887330921290341079720434445217667739494812088 +/- 4.49e-137]",
"independent_ball": "[1.185064736742255453982837117423704829501096048772433105567726769266843038192405858872503409488733092129034107972043444521767 +/- 6.09e-124]",
"accuracy_bits": 453
},
{
"lambda": "29",
"number": "2.818705068162265891837705443768942456068191301594464640392711779027124876428301854397632231177916308",
"computed_ball": "[2.818705068162265891837705443768942456068191301594464640392711779027124876428301854397632231177916307893397199711494263590049266155103061 +/- 8.56e-136]",
"independent_ball": "[2.8187050681622658918377054437689424560681913015944646403927117790271248764283018543976322311779163078933971997114942635900 +/- 6.05e-122]",
"accuracy_bits": 450
},
{
"lambda": "29/2",
"number": "2.466225556070975952436622449823872424441553127491430503463182649321712742931174089041953386578866008",
"computed_ball": "[2.466225556070975952436622449823872424441553127491430503463182649321712742931174089041953386578866007916351980050227574072209091119600963 +/- 4.86e-136]",
"independent_ball": "[2.46622555607097595243662244982387242444155312749143050346318264932171274293117408904195338657886600791635198005022757407221 +/- 6.46e-123]",
"accuracy_bits": 451
},
{
"lambda": "29/3",
"number": "2.261934718384462026153710529686857343412204895519680206780449660920677939323810903975954927856240477",
"computed_ball": "[2.261934718384462026153710529686857343412204895519680206780449660920677939323810903975954927856240477281446818866142735514701442206714469 +/- 6.33e-136]",
"independent_ball": "[2.26193471838446202615371052968685734341220489551968020678044966092067793932381090397595492785624047728144681886614273551470 +/- 5.19e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/4",
"number": "2.118756651040388664073391829105681927719551525028187808691590249723544492723723525961866613123481401",
"computed_ball": "[2.118756651040388664073391829105681927719551525028187808691590249723544492723723525961866613123481401262183471624409477751310365180886290 +/- 3.66e-136]",
"independent_ball": "[2.11875665104038866407339182910568192771955152502818780869159024972354449272372352596186661312348140126218347162440947775131 +/- 3.18e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/5",
"number": "2.007607927227542568986096132041160186925218318462365109242504582540071371751515374650734696893990321",
"computed_ball": "[2.007607927227542568986096132041160186925218318462365109242504582540071371751515374650734696893990320964520611721147853771753224972689043 +/- 4.01e-136]",
"independent_ball": "[2.00760792722754256898609613204116018692521831846236510924250458254007137175151537465073469689399032096452061172114785377175 +/- 5.47e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/6",
"number": "1.918020650395236710929407052374208211518014524771587446693174400466761014432330679587003086721922785",
"computed_ball": "[1.9180206503952367109294070523742082115180145247715874466931744004667610144323306795870030867219227845914073889808435162825877791680344541 +/- 8.42e-137]",
"independent_ball": "[1.91802065039523671092940705237420821151801452477158744669317440046676101443233067958700308672192278459140738898084351628259 +/- 4.07e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/7",
"number": "1.844801423450542126996972942083042415113474209856442814606849858538431289515135302099154283695301314",
"computed_ball": "[1.8448014234505421269969729420830424151134742098564428146068498585384312895151353020991542836953013139710052700586972438084276810004672154 +/- 9.19e-137]",
"independent_ball": "[1.84480142345054212699697294208304241511347420985644281460684985853843128951513530209915428369530131397100527005869724380843 +/- 3.91e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/8",
"number": "1.764167411089971802416223014863787795959930777457350561676285897109552349035756979429619082134551217",
"computed_ball": "[1.7641674110899718024162230148637877959599307774573505616762858971095523490357569794296190821345512172719537195500777972347390500100181222 +/- 4.90e-137]",
"independent_ball": "[1.76416741108997180241622301486378779595993077745735056167628589710955234903575697942961908213455121727195371955007779723474 +/- 2.34e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/9",
"number": "1.712636889908527638167473556326307933559432206978811200093288982804329506683423568721501126246743126",
"computed_ball": "[1.7126368899085276381674735563263079335594322069788112000932889828043295066834235687215011262467431255219527180546705914255583773250239837 +/- 7.56e-137]",
"independent_ball": "[1.71263688990852763816747355632630793355943220697881120009328898280432950668342356872150112624674312552195271805467059142556 +/- 2.86e-123]",
"accuracy_bits": 452
},
{
"lambda": "29/10",
"number": "1.672000457930837420391174570977449218226749920364436320468296129668582885499556766128417405171679422",
"computed_ball": "[1.6720004579308374203911745709774492182267499203644363204682961296685828854995567661284174051716794219789766129318717506544565778717721611 +/- 7.14e-137]",
"independent_ball": "[1.67200045793083742039117457097744921822674992036443632046829612966858288549955676612841740517167942197897661293187175065446 +/- 4.54e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/11",
"number": "1.601228779198426514506931267727356626655896114995308097638543782767830584123573212889500502230627399",
"computed_ball": "[1.6012287791984265145069312677273566266558961149953080976385437827678305841235732128895005022306273993407317567797140718360347827999381679 +/- 7.99e-137]",
"independent_ball": "[1.60122877919842651450693126772735662665589611499530809763854378276783058412357321288950050223062739934073175677971407183603 +/- 5.81e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/12",
"number": "1.557716913077744352208883769208660754685079082934516299656313152643551934818358371605667718298414266",
"computed_ball": "[1.5577169130777443522088837692086607546850790829345162996563131526435519348183583716056677182984142658261349908080110990534707320545245999 +/- 6.24e-137]",
"independent_ball": "[1.55771691307774435220888376920866075468507908293451629965631315264355193481835837160566771829841426582613499080801109905347 +/- 1.67e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/13",
"number": "1.527516939961156078577274144518567641650815865701079720880605953859872446397413912215331607836297187",
"computed_ball": "[1.5275169399611560785772741445185676416508158657010797208806059538598724463974139122153316078362971867274291454029475364842260386564032200 +/- 6.61e-137]",
"independent_ball": "[1.527516939961156078577274144518567641650815865701079720880605953859872446397413912215331607836297186727429145402947536484226 +/- 9.02e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/14",
"number": "1.520982687991568855132441351933546075050267828990408174272657572631977215268632406024760023087190968",
"computed_ball": "[1.5209826879915688551324413519335460750502678289904081742726575726319772152686324060247600230871909676204806737003577673105459838554095631 +/- 6.49e-137]",
"independent_ball": "[1.520982687991568855132441351933546075050267828990408174272657572631977215268632406024760023087190967620480673700357767310546 +/- 8.09e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/15",
"number": "1.484167521185401662696807579393953109596432665927688370277398985768485966153478430738155875337011269",
"computed_ball": "[1.4841675211854016626968075793939531095964326659276883702773989857684859661534784307381558753370112692499121001818238563483587397668748974 +/- 4.98e-137]",
"independent_ball": "[1.48416752118540166269680757939395310959643266592768837027739898576848596615347843073815587533701126924991210018182385634836 +/- 2.01e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/16",
"number": "1.420275161765376729427271830682436475647809214510728828452669002487067361490191306730191503092214627",
"computed_ball": "[1.4202751617653767294272718306824364756478092145107288284526690024870673614901913067301915030922146270277901476012415226095305882728892412 +/- 2.56e-137]",
"independent_ball": "[1.42027516176537672942727183068243647564780921451072882845266900248706736149019130673019150309221462702779014760124152260953 +/- 1.29e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/17",
"number": "1.378008172225823277421303846254537413298536866349796775136539243154579274650480172589136374636677640",
"computed_ball": "[1.3780081722258232774213038462545374132985368663497967751365392431545792746504801725891363746366776396720828132408458520065418242594925163 +/- 3.33e-137]",
"independent_ball": "[1.378008172225823277421303846254537413298536866349796775136539243154579274650480172589136374636677639672082813240845852006542 +/- 8.29e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/18",
"number": "1.345256072382913021323086984359749900234388867153689367890716557981236784291759055376183225049911447",
"computed_ball": "[1.3452560723829130213230869843597499002343888671536893678907165579812367842917590553761832250499114470291239613477802445467330261269105696 +/- 7.46e-137]",
"independent_ball": "[1.345256072382913021323086984359749900234388867153689367890716557981236784291759055376183225049911447029123961347780244546733 +/- 6.50e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/19",
"number": "1.322964528057863250614439837358127598058617310946502267166483191011203702823050916105831258237284860",
"computed_ball": "[1.3229645280578632506144398373581275980586173109465022671664831910112037028230509161058312582372848602177097977587125200910310568005568026 +/- 5.59e-137]",
"independent_ball": "[1.322964528057863250614439837358127598058617310946502267166483191011203702823050916105831258237284860217709797758712520091031 +/- 6.47e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/20",
"number": "1.295152869186520448544891277993886824484474702629804218344331630345805331784512456909035301268239451",
"computed_ball": "[1.2951528691865204485448912779938868244844747026298042183443316303458053317845124569090353012682394509581719764748287575335553186051130357 +/- 7.11e-137]",
"independent_ball": "[1.295152869186520448544891277993886824484474702629804218344331630345805331784512456909035301268239450958171976474828757533555 +/- 8.80e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/21",
"number": "1.271212712887297900401533115194743521492189807975783743457667995326200298133516106578376380537599443",
"computed_ball": "[1.2712127128872979004015331151947435214921898079757837434576679953262002981335161065783763805375994432481205708977656792105185441024039996 +/- 2.89e-137]",
"independent_ball": "[1.27121271288729790040153311519474352149218980797578374345766799532620029813351610657837638053759944324812057089776567921052 +/- 1.99e-123]",
"accuracy_bits": 453
},
{
"lambda": "29/22",
"number": "1.254060733627150554978398940184941761752103145765749716923540159844360731939708606288828827128603827",
"computed_ball": "[1.2540607336271505549783989401849417617521031457657497169235401598443607319397086062888288271286038274646762318992190621715866252028931642 +/- 6.71e-137]",
"independent_ball": "[1.254060733627150554978398940184941761752103145765749716923540159844360731939708606288828827128603827464676231899219062171587 +/- 8.80e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/23",
"number": "1.237819787441425618738357687691135554787390865238968276870671924687108917151878482869227515006407939",
"computed_ball": "[1.2378197874414256187383576876911355547873908652389682768706719246871089171518784828692275150064079385910800621274713078526301476748207007 +/- 2.92e-137]",
"independent_ball": "[1.237819787441425618738357687691135554787390865238968276870671924687108917151878482869227515006407938591080062127471307852630 +/- 6.36e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/24",
"number": "1.225757772784046606895770114212076010579330684292852012873888946509474036044208524875891712405372044",
"computed_ball": "[1.2257577727840466068957701142120760105793306842928520128738889465094740360442085248758917124053720444051824479159266189075544605725848911 +/- 6.12e-137]",
"independent_ball": "[1.225757772784046606895770114212076010579330684292852012873888946509474036044208524875891712405372044405182447915926618907554 +/- 9.28e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/25",
"number": "1.217758914840248264879420538275219816794924954589223679326156448275719645636608010861236890078709740",
"computed_ball": "[1.2177589148402482648794205382752198167949249545892236793261564482757196456366080108612368900787097399756654575625455748596181744531666815 +/- 3.87e-137]",
"independent_ball": "[1.217758914840248264879420538275219816794924954589223679326156448275719645636608010861236890078709739975665457562545574859618 +/- 6.23e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/26",
"number": "1.214299120712897745840124487328193934334062745407522149838214001222062342694838704059632366525144749",
"computed_ball": "[1.2142991207128977458401244873281939343340627454075221498382140012220623426948387040596323665251447492004358892992807776152708562179945714 +/- 2.49e-137]",
"independent_ball": "[1.214299120712897745840124487328193934334062745407522149838214001222062342694838704059632366525144749200435889299280777615271 +/- 5.71e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/27",
"number": "1.216618630226430732430669940025260702206067289438248924293926166699209361277412431206600139234731315",
"computed_ball": "[1.2166186302264307324306699400252607022060672894382489242939261666992093612774124312066001392347313149358796395836178800216478929497901652 +/- 5.33e-137]",
"independent_ball": "[1.216618630226430732430669940025260702206067289438248924293926166699209361277412431206600139234731314935879639583617880021648 +/- 5.19e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/28",
"number": "1.227388477340193148767938443045980001983278050514305716480859868169230289556420353832235674113330703",
"computed_ball": "[1.2273884773401931487679384430459800019832780505143057164808598681692302895564203538322356741133307025622138975424735675404013015905341091 +/- 6.07e-137]",
"independent_ball": "[1.227388477340193148767938443045980001983278050514305716480859868169230289556420353832235674113330702562213897542473567540401 +/- 7.02e-124]",
"accuracy_bits": 453
},
{
"lambda": "1/30",
"number": "0.09451661063324492469256565998690750819453906386908844935440775649743025622830428836751050453465783887",
"computed_ball": "[0.0945166106332449246925656599869075081945390638690884493544077564974302562283042883675105045346578388654213467679510688297476369791015500 +/- 4.48e-137]",
"independent_ball": "[0.094516610633244924692565659986907508194539063869088449354407756497430256228304288367510504534657838865421346767951068829748 +/- 7.33e-124]",
"accuracy_bits": 450
},
{
"lambda": "7/30",
"number": "0.4323191129690012257827876964442758451165394917905401794775774653929988829160731790288462741336987698",
"computed_ball": "[0.4323191129690012257827876964442758451165394917905401794775774653929988829160731790288462741336987698366899903557102750766991765611506307 +/- 1.57e-137]",
"independent_ball": "[0.432319112969001225782787696444275845116539491790540179477577465392998882916073179028846274133698769836689990355710275076699 +/- 5.51e-124]",
"accuracy_bits": 452
},
{
"lambda": "11/30",
"number": "0.5945614958147622123120373683471705038723943343699818606830811585245204342663770791718056017691560478",
"computed_ball": "[0.5945614958147622123120373683471705038723943343699818606830811585245204342663770791718056017691560478051441535935686908390596264170294816 +/- 5.75e-137]",
"independent_ball": "[0.594561495814762212312037368347170503872394334369981860683081158524520434266377079171805601769156047805144153593568690839060 +/- 7.44e-124]",
"accuracy_bits": 453
},
{
"lambda": "13/30",
"number": "0.6667814330078367130968293203786356317505801400448811499373796018554849186431845568302310606450798838",
"computed_ball": "[0.6667814330078367130968293203786356317505801400448811499373796018554849186431845568302310606450798837979331333332785308431489754996387332 +/- 4.70e-137]",
"independent_ball": "[0.666781433007836713096829320378635631750580140044881149937379601855484918643184556830231060645079883797933133333278530843149 +/- 3.95e-124]",
"accuracy_bits": 453
},
{
"lambda": "17/30",
"number": "0.7935817861746830925654199862719100895294401554457374275451283741888449079267268829028062110397456800",
"computed_ball": "[0.7935817861746830925654199862719100895294401554457374275451283741888449079267268829028062110397456799850777063839214670692546133129960294 +/- 2.40e-137]",
"independent_ball": "[0.793581786174683092565419986271910089529440155445737427545128374188844907926726882902806211039745679985077706383921467069255 +/- 7.57e-124]",
"accuracy_bits": 453
},
{
"lambda": "19/30",
"number": "0.8456704951636740116600371369430865526082413485753893747290170007255637248623741281007997091963841149",
"computed_ball": "[0.8456704951636740116600371369430865526082413485753893747290170007255637248623741281007997091963841148698478752822131717536516893051568303 +/- 3.51e-137]",
"independent_ball": "[0.845670495163674011660037136943086552608241348575389374729017000725563724862374128100799709196384114869847875282213171753652 +/- 6.81e-124]",
"accuracy_bits": 453
},
{
"lambda": "23/30",
"number": "0.9577284085071399197655992878691573046589558095987354860987752880801399998957360326258191311762107414",
"computed_ball": "[0.9577284085071399197655992878691573046589558095987354860987752880801399998957360326258191311762107414319688096569873389489633554444094868 +/- 3.37e-137]",
"independent_ball": "[0.957728408507139919765599287869157304658955809598735486098775288080139999895736032625819131176210741431968809656987338948963 +/- 7.30e-124]",
"accuracy_bits": 453
},
{
"lambda": "29/30",
"number": "1.187029253475694653421468374039035742219754809356602023082014701542281497498143135435271062695066428",
"computed_ball": "[1.1870292534756946534214683740390357422197548093566020230820147015422814974981431354352710626950664278410026319516022452983083087301602056 +/- 3.04e-137]",
"independent_ball": "[1.187029253475694653421468374039035742219754809356602023082014701542281497498143135435271062695066427841002631951602245298308 +/- 6.83e-124]",
"accuracy_bits": 453
},
{
"lambda": "30",
"number": "2.835498318997347740776969799607225245836171916072653480632232694922907686849128651025315136039735166",
"computed_ball": "[2.835498318997347740776969799607225245836171916072653480632232694922907686849128651025315136039735165962640403038532064892429109373046501 +/- 5.69e-136]",
"independent_ball": "[2.8354983189973477407769697996072252458361719160726534806322326949229076868491286510253151360397351659626404030385320648924 +/- 4.04e-122]",
"accuracy_bits": 450
},
{
"lambda": "30/7",
"number": "1.852796198438576681926232984761182193356597821959457912046760565969995212497456481552198317715851871",
"computed_ball": "[1.852796198438576681926232984761182193356597821959457912046760565969995212497456481552198317715851870728671387238758321757282185262074132 +/- 4.97e-136]",
"independent_ball": "[1.85279619843857668192623298476118219335659782195945791204676056596999521249745648155219831771585187072867138723875832175728 +/- 3.79e-123]",
"accuracy_bits": 452
},
{
"lambda": "30/11",
"number": "1.621531352222078760851011004583192283288348184645405074590221341430510275271937488650378913915880130",
"computed_ball": "[1.6215313522220787608510110045831922832883481846454050745902213414305102752719374886503789139158801303776658734370055204701626175009894952 +/- 8.42e-137]",
"independent_ball": "[1.62153135222207876085101100458319228328834818464540507459022134143051027527193748865037891391588013037766587343700552047016 +/- 3.64e-123]",
"accuracy_bits": 453
},
{
"lambda": "30/13",
"number": "1.538726383864238568684990739335312996347492630872802653701645235051119043022733592685148601488645886",
"computed_ball": "[1.5387263838642385686849907393353129963474926308728026537016452350511190430227335926851486014886458856875379999998735327149591742299355382 +/- 6.25e-137]",
"independent_ball": "[1.53872638386423856868499073933531299634749263087280265370164523505111904302273359268514860148864588568753799999987353271496 +/- 1.68e-123]",
"accuracy_bits": 453
},
{
"lambda": "30/17",
"number": "1.400438446190617222174270564009253099169600274316007225079638307392079249282459205122599195952492376",
"computed_ball": "[1.4004384461906172221742705640092530991696002743160072250796383073920792492824592051225991959524923764442547759716261183575081411405812283 +/- 6.46e-137]",
"independent_ball": "[1.400438446190617222174270564009253099169600274316007225079638307392079249282459205122599195952492376444254775971626118357508 +/- 8.01e-124]",
"accuracy_bits": 453
},
{
"lambda": "30/19",
"number": "1.335269202890011597357953374120662977802486339855877960098447895882469039256380202264420593467974918",
"computed_ball": "[1.3352692028900115973579533741206629778024863398558779600984478958824690392563802022644205934679749182155492767613892185583974041660371005 +/- 2.95e-137]",
"independent_ball": "[1.33526920289001159735795337412066297780248633985587796009844789588246903925638020226442059346797491821554927676138921855840 +/- 3.19e-123]",
"accuracy_bits": 453
},
{
"lambda": "30/23",
"number": "1.249210967618008590998607766785857353902985838607046286215793854017573912907481781685851040664622706",
"computed_ball": "[1.2492109676180085909986077667858573539029858386070462862157938540175739129074817816858510406646227062156114908569400073247348114492297654 +/- 3.50e-137]",
"independent_ball": "[1.249210967618008590998607766785857353902985838607046286215793854017573912907481781685851040664622706215611490856940007324735 +/- 6.72e-124]",
"accuracy_bits": 453
},
{
"lambda": "30/29",
"number": "1.227961296698994469056691421419692147123884285541312437671049691250636031894630829760625237270758374",
"computed_ball": "[1.2279612966989944690566914214196921471238842855413124376710496912506360318946308297606252372707583736286234123637264606534223883415450403 +/- 5.64e-137]",
"independent_ball": "[1.227961296698994469056691421419692147123884285541312437671049691250636031894630829760625237270758373628623412363726460653422 +/- 7.75e-124]",
"accuracy_bits": 453
}
],
"source_files": {
"generate.py": "00eff3c0b13a818960eb0e0ae045e9a6d9d0b8651acbdf5af653509c6559a7d9",
"checks.py": "44abb6c20b45f0c98e42787bb3e60b499437152c939182dd997c46cc906ee0f0",
"argument-selection.md": "6380573c88cd0a07c50be63d600642a6b9fc5b6713903c4e428b8b743336a33b",
"derivation.md": "1996a1c36d7c8ce01f756581a1a43ab0633074f60dc15d05d5e39dae154c985d"
},
"archived_skill_versions": {
"manifest": "agents/runs/20261031T203213Z-build-skills/manifest.json",
"versions": [
{
"source": "local",
"file": "skill-local.md",
"sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
"read_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278"
},
{
"source": "live",
"file": "skill-live.md",
"sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
"read_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278"
}
],
"unavailable": [],
"status": "ready",
"policy": "Read the archived current canonical skill. One valid version is enough; two valid versions must match. Coordinate mismatches before starting."
},
"source_manifest": [
{
"file": "bbls.pdf",
"url": "https://arxiv.org/pdf/math/0306251",
"sha256": "4c786619a6d2a81b1de6808f489a8a4f8c85de42d4a50d5c20f58f4a518fd9f9"
},
{
"file": "bc.pdf",
"url": "https://arxiv.org/pdf/1111.0931",
"sha256": "ee472e78ff606211e83c236f5fe9ce6980969df6fc52da9959216e9b9cd260b1"
},
{
"file": "bd.html",
"url": "https://arxiv.org/html/math/0202141v2",
"sha256": "f5dfe74bbdcde054f99370bf171d111ee878d1a3be2113371af499a441a9e770"
}
],
"dry_run_log": "== the generator itself ==\n names its rings, initialises Sage\n\n== computing every entry ==\n 555 entries computed\n\n== exactness ==\n every value is exact, or carries its own error bound\n\n== exact in disguise ==\n none\n== prose ==\n no comment carries a backslash before a quote, or says below or above\n\n== size ==\n 555 entries, longest 155 characters at lambda=1, block 109.8 KB\n\nNothing was sent. Create the table only when the above is clean and\nthe identities have been checked; then fill it once.\n",
"generator_verify_log": "<PublishOutcome T640: 555 added, 0 updated, 0 unchanged, 0 agreed, 0 left alone, 0 removed>\n<VerifyReport T640: 555/555 matched, 0 differing, 0 missing, 0 extra>\n",
"written_size": {
"entries": 555,
"longest": 103,
"longest_at": "1/29",
"block_kb": 75.2177734375
},
"audit": {
"tid": "T640",
"title": "Multiplicative fractional-part autocorrelation",
"findings": [],
"clean": true
},
"readback_correction": "The checker was adapted to the client helper returning strings. No generator arithmetic, arguments or stored numbers changed."
}