# Zeros of 1-4729-4729.1022-r0-0-0 downloaded from the LMFDB on 19 June 2025.
{"order_of_vanishing": 0, "positive_zeros": ["0.79449159519108975310913803326", "1.4180716080160267034452153921", "2.497596881362628499628013261231", "3.488722018641129583541073440628", "3.77875133380976331439897907119", "4.73474823543425807307530152230", "5.148256821172925656469287439129", "5.77154434739538243287819882496", "6.84796692285556999029992926648", "7.804483726350539428496383131647", "8.33891145088643773887284160914", "9.35836690324135033079909538059", "9.85375062711228100346171763735", "10.5394241472802479450815060227", "11.37785395161819191829415413919", "11.71114001799475688126693645309", "12.86671325638104858701907781857", "13.30462082909305716834214268193", "13.96067291966988542671968183799", "14.53212819726024453819029361179", "15.15612610992233708304806457837", "15.936207302742519274427544943018", "16.43578316944851201685605762340", "17.153563327390158203805353572608", "17.66013766551700918138090364836", "19.22471589477874374580221788395", "19.51522777278847228596509006694", "20.20482208123864439542951731497", "20.64791782669855907727228794960", "21.18638243632495416995374624723", "21.770419086770293472838894209413", "22.38038904709290120693270746211", "23.173161203257093442345866546", "23.75899039164574509752938968944", "24.392832328691052857295116069805", "25.13209263428572047960290461886", "25.423743991983629868753056386605", "26.40539335548406548346364990930", "27.36990781736402308945170719385", "27.60273357882920481080989664089", "28.10979700691867085632058275809", "29.089567035376766444674538521738", "29.60336827380114556368804220215", "30.28589249977992640331260678075", "30.81048310514692572303041010617", "31.54525162041848462756515090514", "32.3250073139601978554236564463", "32.5390487432236511586556539767", "32.84472089195578124011106173647", "33.61478957338030271653322048164", "34.34104676504596264030641496502", "34.910032884644241739028802957073", "36.055797050207457102416453277888", "36.55393674503879357243450516723", "37.239759755267533189955130733027", "37.50973788053780426937046372647", "38.283366826878441873898764809458", "39.14643486394005743698724188208", "39.359119067239246592162914276603", "40.062103387673115905228598658951", "40.30001344532683780280491903044", "41.178941399003078046324570131274", "41.82617992518619496089229783407", "42.72448452121629936210269367653", "43.07280332741835106034946249834", "43.484091408432336216664830633757", "43.9201552358801259851642916251", "45.07026761707062661113107738417", "45.30748629555432143366829419594", "46.12070743483860258128781071328", "47.00453566474293467515774880688", "47.49358284364334354092398068086", "48.01248798659923907048322746440", "48.51312580872132773991165706796", "49.30821124789964717673491455419", "49.56508567412754931423407623783", "50.01814005723936694206290969842", "50.87945182088847351345110235603", "51.344959650796072841581470479140", "51.813767465749090246028304388978", "52.48555193275902614053893457587", "53.139096093492310558826700892617", "53.921278363228534137683610663240", "54.78079409279682444235246160208", "55.16887116589413075666457648987", "55.88868393692635814482836854425", "56.19901265076094853714971197069", "56.62996448723199776272214297237", "57.08477876481237764795995614658", "58.23664114884963594673778404101", "58.89077753908038911047814957562", "58.981559526410973149293273949641", "59.81737426844210696605576576255", "60.134838480823228377969853319220", "60.68483605951434918558759621375", "61.53110760441200763450286653687", "61.83748254343383749689017705244", "62.44347200021220410279753006771", "63.330786009859777310452915537923", "63.882867740180387087510838237573", "64.59024352175770509587265116474", "65.2006042472701188210633456187", "65.83514557026602044710713479136", "66.24948714684095687265481375198", "66.90944556214750873201009054120", "67.12429582767974156943794024276", "67.79181944595153591222263344664", "68.446069536135289559036074853935", "68.74287382192603054619980404500", "69.633114424974583102835273493302", "69.89218337005795447699044878552", "71.20197759320560517077859622571", "71.329934681151775152393306966880", "71.739234239080468869495320660336", "72.52287363492877014779289827067", "73.12401567403708757485192540001", "73.81544691462810837202862542215", "74.41388358526153466105192360590", "74.89298709213985028782445430784", "75.28061867896677948981157473697", "76.16525080308157723809488033343", "76.519269668870366807746054378", "77.09536129078430344763297024288", "77.75276366347056941390697437939", "78.28703778642602024393576889380", "78.80645900235900549992802200364", "79.18102718953201447003597771956", "79.53324522440847059796976625661", "80.18538075907546041652352289214", "81.3978487385979284130733652869", "81.92920463517144736065829791311", "82.41121826006601794438578987567", "83.12150551983865802184732696352", "83.429636270905148113980670222956", "83.95538618837381541799211579844", "84.62153079141190708732620243722", "84.99553198688790554476854342121", "85.615088940698458764438057756210", "86.08890084136611557702977703713", "86.70939097261099677247806059705", "87.61979891016661750529123616421", "87.80963588712013926941440257295", "88.24118805145943954746622098047", "88.91566975028343885833734566889", "89.75450845072698041277981377982", "90.11474747196590710905755142213", "90.845942467117902179441807641293", "91.451897545065503878511947679110", "91.7491048877413701261514635476", "92.38907958203265693836148547855", "93.390414799122125011806188734", "93.79364191347660663188993884061", "94.22512511201334067170111834088", "94.85017414875650893430651606454", "95.12545155548079269717089701729", "95.700335702311254176312088355622", "96.05261758216217766377521694448", "96.8563507935538272596369796241", "97.348129680860600807300272680297", "98.03151374283133882860155314915", "98.637616498506257772437822748761", "98.937166113887444112425044178993", "100.16135806969076808240627020153", "100.473780722400682865774283156073", "101.06944732762800353849051732523", "101.50898287956169002552136352786", "101.83600296651224989438877519188", "102.69828870645330986024637433636", "103.09539219072500956619808765369", "103.44314395814702222075954994642", "104.10908583373215623462164586996", "104.99911929087907599817477667404", "105.458518374119674433494492731871", "105.76442550558995642157227248836", "106.28518988970072240256782738160", "106.97994505346438899682054563215", "107.3895389795257474867515249819", "107.80546223504380123572208571294", "108.637096368305212619626608609481", "109.36779971691651696588864466251", "110.08333307603487991199763275512", "110.60810858370965718787843595183", "111.11168355725253617442748975758", "111.3455878661724137257517006052", "111.8881329822682650056131119046", "112.62980134764797022983986757777", "113.40513710318870106652602113192", "113.53340737829989973335592605137", "114.01841506356121364924410618220", "114.41042144910483463527406864117", "115.07980491491290100289596217157", "115.92858376744617820448315136177", "116.28897544468851154133961302523", "117.148918874410461463489187181249", "117.68172918106383715194751811866", "118.19546031064847900701894401587", "118.631381408319189535268319638298", "119.16726572370293877926512530164", "119.692936716835128762195337624446", "120.52177319695423275482790555037", "120.669987589583407785816386175299", "121.66514235447866187338912429534", "121.83312564448827916340013788866", "122.59677413419242676626048134218", "123.00194566579043150963336136136", "123.56568275647199155485579240908", "123.93868919450096698315933907026", "124.48392936403180836329369066275", "125.10912454204237535399956221237", "125.61520432015133333165710333682", "126.146882506016237791388770913978", "127.16986130913754695564082511716", "127.35989148825757757409752995940", "128.218555200335359805836018566459", "128.72290258140458348099205032211", "129.33619284617744771627253135310", "129.882385919613684062666743330250", "130.06101817939445364027719995313", "130.36071955016134169688105896779", "131.23690108506250024075381449380", "131.4932467673196151805249244550", "132.38667162894534823112389813780", "132.98180412485391872139473008408", "133.37550964620015881092910465288", "133.982669447599268095252482629870", "134.28756691335997424214430699036", "135.07874418117856189734769283932", "135.41925438072361983490101093301", "136.53462671082478000418297709932", "136.77325062251630366586957625027", "137.328421591351058091063300515850", "137.58339424802129659788040790383", "138.44998415859408715500573174749", "139.01100835632557757866296705783", "139.56726518193460716960297324765", "140.27603196476230538958168475919", "140.33048661063627291391109324659", "140.978368404200786798854992070680", "141.4906614785076901090177951155", "142.09027774933050439414449334970", "142.48931835383592648506035459112", "142.93284681150945534086724292506", "143.37205826766911450555766937208", "144.48193565250276706381905421059", "145.20050464957986460483180074720", "145.69921705308746030952913324609", "145.89717900354856941550493567251", "146.45075111762777840057699407446", "147.25552949124702566866819214491", "147.55312765511326595619476068883", "147.971240692572873102995044464112", "148.56544958428116708941005136982", "149.3662681111118426773560638135", "149.68170482730775929947021149679", "150.179884678821108291917146199", "150.47346818225849129034580687574", "151.466129845568184519238844671805", "152.01808647408952823260216080761", "152.2148690969184920309667898938", "152.96180769016727109725210335016", "153.28310519267211351831026116608", "153.8995771850293353882223617294", "154.53700210854932142782915485582", "155.31363153244724048889675238137", "155.92269427337518636533013526096", "156.40444155466782304737117595133", "156.75736745108116579493661413801", "157.42127976256316374515306378048", "157.81463062870751036727736813443", "158.302777627107033215428835891665", "158.722988976707551647569384782933", "159.37858424183811037172007962676", "159.73397304574297421415268754663", "160.36589564043091462666937174792", "160.87369509774762547806099210425", "161.43722865966023531829050716515", "162.08497023197605575628257853223", "162.76184480371357100454140202443", "163.231364904997519912977287247164", "163.81225902258530927820442848985", "164.60604557938321762207566101555", "164.86580427985470247832632018412", "165.2024893175197659047024239649", "165.75171839988925065965683307012", "166.37449596115455742821322022423", "166.73379890311751589716612570171", "167.737509116724314641965361695388", "168.05261560975923760106140144070", "168.729571427326617862287358402584", "168.93729380232045004183124697531", "169.45910274940114298727811930242", "169.907623144990726422747853245800", "170.18441907458876432219910931109", "171.35742784377132884441599279624", "171.71361396173301574963732057868", "172.132092069084221694693145522347", "173.09115186076705086889861059512", "173.47480960690111486842988000229", "174.072513692227319409790699048", "174.40784922734797074077924391098", "175.07885325697077576024396541363", "175.64634411018642263223658388336", "175.94346188928115945664278970901", "176.555379293229294826402647234690", "176.726880579705917244174415021238", "177.61144560032069472428959115198", "177.73306052638899768279862933596", "178.74654660446704939397900977832", "179.22966293512072945138634343010", "179.6501777721938233467722524513", "180.085003937965737834870924685717", "181.01311344878060820543040483924", "181.43067281207827226555084753951", "181.84868718246537708499129556861", "182.294309604952598981443108967497", "182.80235080686305239879003618755", "183.73245485577349058585759886705", "184.088405487726793732778004925646", "184.58579509574285397095449690737", "185.21691096030523004910034935572", "185.41755823429956982849896684970", "185.9579315300804091224635284897", "186.75605514458008035857103986246", "187.117234421727716342625936712305", "187.51205506006998783186645699644", "188.13770951600892147853537836914", "188.48012519463729997745383689388", "188.99761705837517282131772390669", "189.652722587582411160795835656452", "190.55935494368297048834285739160", "191.276120532700700578594517429562", "191.74931956897744288154736707449", "192.07657121600599911327483698626", "192.25142942065788933999682214310", "193.00178274494293575087301046039", "193.41434550974742682416164420310", "194.11533171472066369764379767328", "194.46058497544413981686413469642", "194.94349925755780221253852520586", "195.67443538087115257659254125429", "196.0850864707038128654038845367", "196.76926635869573662567339772306", "197.06092662310809990075234030182", "197.58450734782624459066366468535", "198.19926142835971304651882886222", "198.67004397381093380709854429063", "199.37179577741959952552911476451", "199.93225508936647709210312035403"], "negative_zeros": ["-199.39349003754235638412267707027", "-198.86249453589413830060272798697", "-198.23870908753916087477827738187", "-197.8880301346304645209311505792", "-197.47119316879939884646343213725", "-196.944721587876916913616947307988", "-196.30215091728553334809003166420", "-195.658097683861340229547477728227", "-195.5486707507132391208665915850", "-195.124280499112839572501956200026", "-194.40934956039587991711005171395", "-193.8780998844628326211410929930", "-193.284600793742929811982148815807", "-192.90288709876460492059732155568", "-192.244340147266677954737945555865", "-191.82792232595158973708832439857", "-191.03784125541934131585463572695", "-190.41191538771615865870813766391", "-190.03440332629199542414438921526", "-189.582032663858437365074693803060", "-189.09949370956363446224583219431", "-188.6595765910548570508717497787", "-187.71719990147515489958100533964", "-187.24827853643759996111390756089", "-186.89989383375096776669704781969", "-186.115696989619724188423302375880", "-185.95446743593527300213640297363", "-185.23292400470546392263333252240", "-185.13287705416320043053510256304", "-184.51098096533175165233439361530", "-183.72990356259489485036346085932", "-183.09035245350026417777653400072", "-182.92616346384322717415784081238", "-182.58838767959701065593087697574", "-181.47335736774067570308245388307", "-180.7696964875354611673865627387", "-180.38117243995705178069754279787", "-179.780182358933466344121089977859", "-179.32797990562200639217921211901", "-178.83806631420501093342060691135", "-178.5304907733916667917115097684", "-177.99099702583867063123389977344", "-177.45624413333283587071762472860", "-176.81383971262589243144267038781", "-176.455441117499958045924562629722", "-175.732234668959870527733527007230", "-175.12711415006757619922663084304", "-174.7234458507643156472041409703", "-174.19132477219136647075145708497", "-173.72464690719532715934373119372", "-173.43184710922549103515169296123", "-172.43352135759655777374164941541", "-172.09332151751186519936782879332", "-171.271862163497398107503006105922", "-170.92584604537378956087528048968", "-170.15599661297269336636417942432", "-169.93775132317035170392156150157", "-169.16218352108650924807732904506", "-168.854551022972900547396254397896", "-168.26657557890473493342274262334", "-167.47579882436717473879373177984", "-167.20961198798953898628712769300", "-166.966095811497066251999966621", "-166.28956472251256944589446989971", "-165.929641348161792948710725804424", "-165.48428802077255496165395421065", "-164.37745258489381708886760615862", "-163.82183973577517006522184633405", "-163.282153011475276490083962532140", "-162.958832423536178962447444932512", "-162.309760448501062664572386204587", "-161.65032107436651347717882791710", "-161.218864605567919803507652517302", "-160.91980880782138768009096015715", "-160.17631517739432449261590207328", "-159.820132735458966794714192718836", "-158.99694097336065462179750801929", "-158.67518796721306617318748804532", "-158.18513308984179822715257833122", "-157.58518853301614435912253473328", "-156.80807835673366428034762992", "-156.75738137750597143439237682442", "-156.01358647327598299153357116116", "-155.62567482682689101556547276111", "-155.05937118187187231196339101050", "-154.2593104534046423975732691033", "-153.7540200817962415695693609812", "-153.29384540273000825583404103797", "-152.408613629232308020153536014039", "-151.781396009604566192764544770958", "-151.50238727535022279553946807840", "-150.941730255770110488487124746491", "-150.612939339312107464783524926560", "-150.27282103397829955911425675005", "-149.6739317883580768995416210315", "-148.825414616290349436148643745849", "-148.53992203025036637222335849436", "-148.0756024003884470917536517918", "-147.12770209924871469132589117265", "-146.93460697856673482855198593562", "-146.50152082651916439018725060243", "-145.644993359213694107788659256665", "-144.807496656279349166156946904517", "-144.58363439025876646768493136757", "-143.93087623881012723590422682563", "-143.43652723780440176998942010537", "-143.001127482881728799387334331189", "-142.717885223691663500885834354533", "-141.72994832952873734561207770009", "-141.077491812173755850993279725", "-140.78000051050526469991291714783", "-140.17960094427418042376306700577", "-139.904668840790799384288682117895", "-139.116826472981994775033304843664", "-138.69500051017544056261804386838", "-138.49193830690053147698226716187", "-137.66004394436657695935749421196", "-137.348365497368658885814170320833", "-136.41178050287461239366259556378", "-135.58796787118950419584672392797", "-135.18553836538129612769864297588", "-134.60277336996522016497612918438", "-134.17866660457543583247612445377", "-133.831235362734182084345645561053", "-133.113743194504967620525617601556", "-132.4434399891699343563884227325", "-131.92080210150547830994733553152", "-131.89097226709467033803441906788", "-131.24536406933009583000345843966", "-130.59103059436692845537518916004", "-129.9346210043609706830569224261", "-129.2715426180794533801950034178", "-128.92102316661914511182034088313", "-128.23068515761584466422373441780", "-127.62820552909866803264097881749", "-127.37970864024490765530759077548", "-126.75335066943629011779735418325", "-126.02839920391391017901680943786", "-125.32880956030957199647001876700", "-124.71621615293045525749239780495", "-124.37665048827289569399939813396", "-123.94265198308489686123113798619", "-123.10385489838961547825396905420", "-122.71375961319097672811099219950", "-122.410793063946110884808750359841", "-121.63938491552455865901595770718", "-121.160797838902216614353850254766", "-120.91625476523051595816959148981", "-120.25491090329636474636428053034", "-119.59529422884082492855911780286", "-119.00327772444481626232131456414", "-118.5716107067183340996949581219", "-117.30306751179570066900560290052", "-117.12201745834159165878327581132", "-116.489058188257098288485621917055", "-116.31235108990148193296895226757", "-115.30492098820892776158842048574", "-115.21607615801517003319442872465", "-114.671725055569361814088567732835", "-114.1767442439503130260057941575", "-113.40415443465367520102187904986", "-112.498451892625051410943060728454", "-112.2482527183961334042144820839", "-111.91234037921285085742457964247", "-111.30352242853511852332270971605", "-111.035151615150467173980615047369", "-110.08567225792502543058320796817", "-109.56730427615802787650200680933", "-108.89271042453011611691154217754", "-108.48801075116267477968639263911", "-107.77349158339090883301342238670", "-107.254409980218127780273460278135", "-106.46678368424573224703355600011", "-106.00351283483677936495773186598", "-105.56135720306728981209634929340", "-104.91953400599636393564733306876", "-104.589837416757819240039733472464", "-104.16488981380768106672890546470", "-103.602127886956173578518946558073", "-102.9407743638608401603771890917", "-102.62806538493763997761026772842", "-101.68741069893883318716051308369", "-101.2694893857777071271908521369", "-100.541839108961023398635715820657", "-99.99797266473248857352180174399", "-99.26604895716333249975372931429", "-98.9392472343290356359656493737", "-98.32823932790263666081988981210", "-97.81786573335933239065346392287", "-97.16855593005485684418649383316", "-96.68089248132644727805209343191", "-96.03175652979291203631117107346", "-95.6029534806751524706763162669", "-95.06765217781426430802958238510", "-94.487078380326147774239237910634", "-93.840254321721887836926723114660", "-93.13490073796814095818644832614", "-92.96844959917350485628218561801", "-92.48964258132763434911597206848", "-92.03885631406568255356053283650", "-91.202887119170359606212984404109", "-90.201312221910499747532577343212", "-89.55126494106006221924339634479", "-89.25287632543850272964557800807", "-88.59276641195214218150956538975", "-88.242942224543862681965897849928", "-87.667229455878270135200531890188", "-87.109252878614778089137186214535", "-86.737711956273111702527152172465", "-85.84365162638546237395267303542", "-85.3490565518193218119202926956", "-85.294639468710130884112944032741", "-84.37718390600491827746532657708", "-83.69921883676572664614647340521", "-83.012449272446068098188908226637", "-82.732816842644814373924493882066", "-82.10578384645475631723428122943", "-81.183867358494305680069943596", "-80.60657385414088540298772649671", "-80.32156488648748183989909753608", "-79.99367283908320790690912916120", "-79.0039564222972557864562313270", "-78.418079072092269648742800960670", "-77.83924186110635105035670690097", "-77.10269381760660830920583307860", "-76.967392179717591094390170696021", "-76.49328485225541781982999763052", "-75.80054525999114009613222641660", "-75.429520406593407519675079398029", "-74.78300459315750552944182076563", "-74.07594345220159256099781755819", "-73.52946921386385329096351412202", "-72.56576960946674587584457228622", "-72.17360423003706687773526249689", "-71.74668582201101975379958432317", "-70.54516323633034452581709957228", "-70.41317268895179676223409070329", "-69.959095153758303525586087080858", "-69.44153222698328915165695032101", "-69.008649347630061588139524192226", "-68.342362464625423825656689933304", "-67.6502271554093749631373989795", "-67.03717815322966660968494447258", "-66.40411604649095421348424495211", "-65.92452281738746177204793056645", "-65.40712487849977201458798161971", "-64.90366072853865462763205050491", "-64.33010523147664290546124849734", "-63.459823693559437026917300756", "-63.04769887747140839521121826520", "-62.312522689741999306568140045983", "-61.53891158311759326663947205949", "-60.89858532347138973933503066321", "-60.667775163608423053048163315807", "-60.148704417223299663350583036797", "-59.31926974034452586311956314302", "-58.848987618873804896277135525151", "-58.52042451548646057524721434030", "-57.712736810834719673742652576894", "-57.30562144119023317185694391064", "-56.71654245974716895277595041127", "-56.421828013317045439464468751007", "-55.19851892535122844293451676975", "-54.44400935576924650069476982797", "-53.87401862058003809183081393091", "-53.48877496217330404952795571898", "-53.06477622232278580799504803147", "-52.48035903433408972063111923348", "-51.745928353743355188543626990252", "-51.10748019230847661539418693770", "-50.57673363495391059569140521544", "-50.06795550662793486496399775573", "-49.33049263414967709799449758598", "-48.78336611159309413353234846195", "-48.36836477979752828689579900262", "-47.79038924960859781794662123056", "-47.10829915687137603279482810948", "-46.5441002638657546889203711714", "-45.971280858227136406615219849539", "-45.313011405562099453183322412761", "-44.272908354471688812286434744340", "-43.78365362651097025161840200429", "-43.31129468552615960388078439403", "-42.563574756947362693458188838810", "-42.165917020442751786154466114159", "-41.47795100313640905559224876111", "-41.0466082191359386123910176444", "-40.55081221686685096135391213075", "-40.318127612990993292395604788282", "-38.96863384446520861969575539557", "-38.42706366492170310962427582672", "-38.174676679015465745109428448870", "-37.39296679819842378550728697433", "-36.72484480951567462102794018322", "-36.00704400040306408545916435712", "-35.179764931725317959410708310476", "-34.78037975069292068254895948789", "-34.30427371433460054161315219579", "-33.55444689840224360338196490316", "-33.13666005206074893992041936110", "-32.21716723722202425815888035234", "-31.4883678606567816423757945943", "-31.082906383021801903525485960372", "-30.73565457898955818260084645117", "-29.90372849754669168362595137420", "-29.68960957837861117176549338951", "-28.87549510227920677801440377487", "-28.14129037680627886175605521788", "-27.11492477830044593436580043062", "-26.52258429703030892743850441382", "-25.7652989447988955879048532927", "-25.18755937643218653505520702139", "-24.99491034169694766308838892704", "-24.19046995970740322754109636184", "-23.47871168439838606139804303915", "-23.01720546596036969321995390391", "-22.30606789204478274016555046639", "-21.69583017959828150430341535510", "-21.059622800406024520111956811196", "-20.46473125354933435916100069330", "-19.530484705771618036437288759165", "-19.04813528689043161744998031856", "-18.19178511658403693540083246466", "-17.95937854489077523767049431646", "-16.79688466082791170669831115671", "-16.45073557749437417709606455855", "-15.133614268594599972818895751898", "-14.771975779409136333127637546825", "-14.38778946537984388854438107329", "-13.959387796440870664813241477649", "-12.95919168916016707730490164690", "-12.227201172975024730378962417422", "-11.9211718515218400443233978682", "-11.26345753955590274506228277413", "-10.316221443935870689677594787279", "-9.255621992580864817876827254605", "-8.64505484745770015527986910067", "-7.69638463364773615078972726734", "-7.28257273331969103503742899957", "-6.501036871251169220621965917450", "-6.07495757024391071871330311707", "-5.26500988608440678239819049356", "-4.226639498022629894216596174247", "-3.464644806985911032812802751387", "-2.80363823259807162459576007135", "-1.91832783848993049237908460752", "-1.63217811976102892894750295766"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}