# Zeros of 1-269-269.127-r0-0-0 downloaded from the LMFDB on 24 February 2026.
{"order_of_vanishing": 0, "positive_zeros": ["1.83682383745513192702038419884", "2.4287891129726853891212459122", "3.93912716315312791126276645135", "4.44089935890591005862591118060", "6.81724953919887994658492643061", "7.741959718252249879276852184766", "8.5348966756488759661284368730", "9.99580697913302626269125066457", "10.24181279284666719656467390738", "11.499708557884096707014398302233", "12.53798006042568644378909165363", "13.75157307466666331022499274030", "14.490122704801161291440252919210", "15.20174548950051563755472348842", "16.90927649468822723223204939895", "17.7294073941317847233911825220", "18.63893701163527202416162404792", "19.62007689658967032725001447226", "20.04331730932089864382670897328", "21.23600887558001147416404405503", "21.74900766212094363891925641194", "22.828629588926231654934185238010", "23.9631338018669100569782934920", "25.27742309688900504850486062107", "26.074481942248766740459078081953", "26.75456709508463218045504617041", "27.36238389135324991580322597121", "28.335528490989849513543797935553", "29.78785512741582783595111756705", "30.14919573922819755195402998083", "30.892304884483755828587524148432", "31.56137958495887397107879064219", "32.73403340463392970569643055940", "33.74482009639086705104830006649", "34.597158181732407729876543136682", "35.97013377267390133378200100407", "36.33888168183741417605308167128", "37.36623742087706046295008535002", "37.794454108089511209627942164021", "38.72074989834937707989617474956", "39.23890832052956996100781921932", "40.50383677369446530510959208131", "41.36209016517567778981059195315", "42.165436250319834752107270754600", "43.23528011296765300762939055658", "43.935160371755260118290919018475", "44.60963147144133738676301818172", "45.94867719608035743007904325306", "46.39000373865774306839468565052", "46.96239547779701916414037296181", "48.259287801598972816004939489383", "48.740786889888566935308421094159", "49.58564719299595363951701091812", "49.891241782797229887795670848986", "51.02215762643968102535342767984", "52.646537573310664901056137953495", "53.33468037868238932740704560161", "53.77004923228899937183215191128", "54.56064433612198567857069121814", "55.280747273400264268203513584265", "56.23637508908405104928218646938", "56.7385857582331795201679283250", "57.66779201134630245002639572318", "58.62820011089568857463279941468", "59.245746519033460113480827247840", "59.97927912979291718732960442058", "61.19989784083328272710877684944", "61.90219421433327183893826764718", "62.39803792734362787612686983154", "63.65294659071379036824325204857", "64.40186227082628246008034734219", "65.13062739972973166406204506025", "65.87470656376423132400226537696", "66.1490523131555676167752989183", "66.8945492278911213516225895182", "68.14366041810127071661632553001", "68.59346058586511959392964700496", "70.12746818092283393771021335593", "70.31633003081268660649527588954", "71.68503273400734874408563450196", "72.27995448626257180611198299398", "72.76645355650775251569416769498", "73.32996018937079778327116579157", "74.30029628050701143155784830918", "75.46044718874300937661567019472", "75.76412227746978405200089903546", "76.68940558532767526325297397133", "77.33676421616601261032348372920", "77.99815812508210701313943410973", "78.86583756229075461887558169968", "80.09277905706432672180176547524", "80.9495933743149796983027769148", "81.51051906584534798765832545374", "82.17982739299657769459256518825", "82.9985005285300705908065293672", "83.47643942340307936787202343242", "84.39828925726658776118720901673", "85.15125745003244619594180917196", "85.46821159899317049123849223681", "86.499119333952771503850452586207", "88.00421604782112339251630591409", "88.39136743739691194993564853081", "88.887981278259034558333753595588", "89.95682906809925707872036349878", "90.40093635590808348172883828484", "91.414810135168529814643342362449", "92.23537763498300756889014002788", "92.85722278091254228121887158297", "93.5175864906762678804259939658", "94.162705336194789018441008007163", "94.96601172778215704770299640508", "95.66893057756968910561431493771", "96.21538820834177325063457641492", "97.62693152684968793321470723663", "98.32995625871428832918341949785", "99.05840268061618920547663029526", "99.99758123907821504951975109699", "100.32701673464623736704343543757", "101.07998818233518538830052313142", "101.71072027861814821615498880244", "102.134039801634379831279378916493", "103.72564039472627256943307621895", "103.909509057391200422838905849276", "104.9155260917995737176044776961", "105.191974779193685543750956028975", "106.600797498081369411079847756868", "107.186447414998152449573549220", "108.04371406475127571491621714449", "108.4750360734158108211147633394", "109.389609341032540190368834900009", "110.4172474054237657061385582314", "110.76330281631466109184757954208", "111.5876938435621314067614589969", "112.32499597389347770313365261549", "112.47409998908265594363121585561", "113.43054151380144915935257903207", "114.51493866628614040703781455603", "115.39745671149983432119402276033", "116.46216431474889622024091875705", "116.97550231752978477370280737033", "117.431122650594914914440514061261", "118.032031570435665760924078709113", "119.10613927631442809307991369899", "119.63499097504463046960288607169", "120.277082576604176575347220997291", "121.10981612289458478462256200339", "121.81780433814347984141038240631", "122.51587968024403986461675161168", "123.29533971567318054080527942322", "124.150445223936276848049680081796", "124.56840042182377254125935429419", "125.5952651667302415991397046361", "126.70962503193596596201527614776", "127.40030349355529323275892747034", "127.81207737563574097588371295933", "128.22114595916369435114458953178", "129.14730866436470542289590780389", "130.00995158218985476111710614605", "130.30757913296617377508700839360", "131.04516083535235158097848400990", "132.18942741438115501476225856222", "132.69391627944456523905550184440", "133.87106463157826794869916102694", "134.585354527711299098940856890137", "135.019517344174578688689512820483", "135.84302496532961145880726494800", "136.40960439960901103526501082434", "137.02192644524158441481190648247", "137.982399439982908015643181405707", "138.959190681594293124047812738400", "139.21219974757465805069753400034", "140.148280689565494472706854952115", "140.3760737324037848569043851019", "141.11113347335057711561268199812", "142.302064382220544383001290048446", "143.34715966736266641966841137819", "143.802162142674949261676135547599", "144.49255119093334233996542802262", "145.2994142160125612809818385926", "146.12601783217266332159307295764", "146.59898251143994813616767634224", "146.99855890156205162892403538677", "147.75557934302262744621688098804", "148.534377657831216378162569582760", "149.3365107447445924506448113102", "150.3062250908644104638053496698", "150.75408524856335555867431709190", "151.76400064811898456062870948852", "152.317536796662977328101483975756", "153.019845497799920693154290993081", "153.93665123582710723132533812024", "154.32579569813363672115487188776", "155.53473181778223276766904153748", "155.92475339358797174003909206736", "156.53646716913977486982487175432", "157.03420868065542049268481402384", "157.981832886815982685543319129378", "158.63174129677753379501099862059", "159.2514477578956492683728574900", "159.65380124270975264904931603736", "161.34118941898146359410500481475", "161.96515226180181944258915805701", "162.3982199002230159850247249808", "163.13420326058996608153390923864", "163.86953905751908445168362564322", "163.978350075912729957983634001010", "165.0157299236865393777850674529", "165.95852602929605685866831141785", "166.62332157426425068581461731799", "166.907776401468200478191533510703", "167.94026549373214579746652162211", "168.54537155478989950169031046607", "169.32009854901811710263407644349", "170.27543507376623691618876979483", "170.66464925556964016824904900508", "171.689237598457751980646886323799", "172.35367356760326796800757947298", "172.970263780635943870640671006192", "173.75821813424528337814101329552", "174.50650445476348946440302530846", "175.011767322105038952715226030843", "175.16999475903024073311002058535", "176.414219114761737015899894267502", "176.54070103367880343309995562457", "178.06299805239218839239397833949", "178.67617759666330727265701328565", "179.45056981446004786417367845686", "179.90349998800637215498230948977", "180.79142906939790206460869282894", "181.70638029409177315526412842286", "181.78732881372649068134361752568", "182.65284591926009098850927693758", "183.3751366081234691612042583468", "184.045574606060683554268975827028", "185.152667664937296834917517884671", "185.51838182810678632528785829718", "185.87846739146240159575120527135", "186.62863303243695161888969605977", "187.65627695897621729861996112330", "188.32959559369328303921396150496", "189.29206435307608267243051956010", "190.16851585978097451164081772681", "190.56794093006505969274795972248", "191.11384061705285296920505415641", "191.767055617996859747162085599630", "192.513292524756651724325982217231", "193.02360031763884200275036270546", "193.74750352382373209940021629583", "194.48320164460911251466218582847", "195.18399174570267282313310791724", "195.874158806546044926714714786836", "196.86294656371816140286761403969", "197.83700056080943583147806564028", "198.27671516028376211380992064235", "198.57669404923265075384132172287", "199.1696289404196583205713338371"], "negative_zeros": ["-199.13490792398300605392690600398", "-198.66517195389344614827492318213", "-198.136668300688590127280379403137", "-197.103071878938176263112519707202", "-196.820392604319977918716779311044", "-196.03507789513082711361186627909", "-195.61026578209954140292441373464", "-195.06044023194563694815793573568", "-193.866471733730266564225165305704", "-192.80461189056171650756153847209", "-192.161081282282213221891974519902", "-191.822442018687801268040760577216", "-191.134186606771153567142054582520", "-190.35112910314040186970798468068", "-189.55270190254917256561553841835", "-188.97773235430209450232209128750", "-188.51814243086716794782413207328", "-187.448128296233534904803181505127", "-187.0075598952657366005690761287", "-186.09990390456402716556634464006", "-185.84914488767729526834889268254", "-184.977339599416526545152926513906", "-184.03428418010767558896679003004", "-183.67697831115653144753784259897", "-182.11722865320924471656601667243", "-181.97058127682394516208727686629", "-181.05741062739922919161801337265", "-180.41991443246570064289685159905", "-179.94938007413398920924268958261", "-179.239363241769349044707101987484", "-178.87709985424739699230598385405", "-177.99178243147842745882876875948", "-177.00739896380420955791145312468", "-176.23128159258835565382147004234", "-176.15518481065376988748534314974", "-174.87958589424432745154517097215", "-173.833940919294287974532729657137", "-173.440881980410470865574107392068", "-172.94867654255912190293654122216", "-172.26253446854532620736926817383", "-171.4249218681738066395677033259", "-170.58639527560293377360726923261", "-169.90319167650889747814437361839", "-169.1138345534826101806082621086", "-168.84503026705359246015589429306", "-168.363854932340612327679136701748", "-167.357681198497957015090474872673", "-166.73467520368662150394841936061", "-165.78471355503716023881953934995", "-164.53542435845357581234839022185", "-164.239068994151169757053323609042", "-163.619603105566937576667983334581", "-162.79810321595661922453056755230", "-162.242555491067673108896537440500", "-161.64283535437835511860222064594", "-160.8388874556449807653542293930", "-160.262174892441873812833486225308", "-159.73438358299574355993286844560", "-158.55356453868279363392945059798", "-157.920232373309570926538521856029", "-157.37912436046418170263874826236", "-156.50010483751123733761091988987", "-155.938599304420548538280677004019", "-155.09888031789717371723289435165", "-153.98961134614468640161142376746", "-153.60700694679777436909643112101", "-152.8826946451670940393032090480", "-152.28189047766642269508251597101", "-151.692723649524377349687800609364", "-150.827278214929898105554608663508", "-150.1420498598416518270080403908", "-149.84052172530052373610923372556", "-149.06315087839050619006764867103", "-147.74075005755888238938448242668", "-146.82908132883790618342713583479", "-146.54307465360371300374785542567", "-145.43898586291057741014691036242", "-145.01909404918798174870344301744", "-144.51156836388376951094972118112", "-143.96791752249855112895146457017", "-142.8118364852912800256659838515", "-142.079961108033395599277011467591", "-141.564787374148221885417669275967", "-140.82056755006985497433779405070", "-140.18812027971382020288986629791", "-139.75561837043859908716654124535", "-138.30479066899493716214508732624", "-137.90537956093968887395972731661", "-136.79984608151644546068507471257", "-136.6628074740981063166555867780", "-135.12232161499320471544385313076", "-134.93269422148028092755131948084", "-134.20237025311844119237055694328", "-133.7463010440750943248723164008", "-133.09486560130021494363776274839", "-132.30371670979760905458784131429", "-131.541107213838735106989228847377", "-130.53412205346157155011461568164", "-129.83846507392212189376143471667", "-128.97653300587055673412328433072", "-128.32424120144744944927927775913", "-127.579021077594236157929877331787", "-126.98822864804100959641937302652", "-126.237607461902259680410263204660", "-125.493546551213092041682872649951", "-124.56737342953723732747574601788", "-124.21253104570412094682554572655", "-123.43163998495348155199246269264", "-122.43900527751851258005588450167", "-122.10798412442430276080706820659", "-121.539503995954276877600560950", "-120.499817596641770168800218562563", "-119.18355570578110608970769514555", "-118.434533133281292846391357800950", "-117.882301176882370783136637198995", "-117.73716244651219333370415900624", "-116.704270617183750608902158544787", "-115.945101760871090725673863789478", "-115.30119972343044674348362131133", "-114.751308811874565158411616721312", "-113.73149337040513635585662909175", "-113.19894745355507253720703679258", "-112.33806925756408890900731040643", "-111.15981357935680874070023672196", "-110.784632722466033347018981684950", "-110.11571715331410032954500517214", "-109.148896682896823622454895413730", "-108.55713158419866368354816391392", "-107.52225441998421872234823897450", "-107.034819879180528641614826673439", "-106.13360331493274529937444546609", "-105.63439171391360930873116302792", "-105.22068699367659068997944281478", "-104.47451312224898622855593293781", "-103.39960183542269530097185248418", "-102.419901118908460523694876281212", "-101.72189838224030848068505621369", "-100.76271902348484838732153916679", "-100.08919454195118865149867102645", "-99.59575451709757301817046569853", "-98.58360726656782016550363690370", "-98.1051069382357562869925003055", "-97.96220319615080899768817899977", "-96.2791541786159707832665366024", "-95.69346654361278054632621992813", "-95.26972920848892827304074521199", "-94.47272799008287696278845849061", "-93.71520788480884422389952790895", "-92.55838110767438272295243701200", "-92.05886008501070620701984275010", "-90.93698240719775399718394241503", "-90.34379343039322752363990817326", "-89.4989214110148128292873022728", "-89.153720310782853526966676282726", "-88.150071580847448563880180481267", "-87.63109238400815559819784666105", "-86.856548414666292497997870193278", "-86.29548285671253231702614066297", "-85.36578978114234810489000904333", "-84.07719738253456364289494418959", "-83.14805227645118984053117267650", "-82.807486084516635655158733252346", "-82.088173536255949142526468193245", "-81.526235606481890268328866255807", "-80.48365085055509054251066788130", "-79.48993554522907539234433312718", "-79.08562909847016348406782277838", "-78.340952349847885889709792706051", "-77.66989680394392406047451020676", "-76.58851050483272894839931753997", "-76.21237200194287764763461722609", "-75.315240772954469739882721706234", "-74.00694694005532665868674973625", "-73.45612624486024494499417020635", "-72.32484371018841108073332470146", "-71.92676917366305351122742408252", "-71.206486752971831206278153690287", "-70.54955279716894514881182664429", "-69.98218311184363010945241924473", "-68.97594205821339247654998263693", "-68.31024541821888781125528256872", "-67.01094023449423591578623270336", "-66.626743569950018699489365336912", "-65.78916765999561509935786108660", "-64.5881425067753434763702526011", "-63.80170265750873642722716050656", "-63.61886842863091277621519197624", "-62.51165234935988429035189544063", "-61.63620598974280182364015209282", "-60.74417834350954696521767347839", "-60.07168958663465058946188188674", "-59.73315999481015271704378169258", "-58.79347947894578656270476305844", "-58.21248163364480452816486570642", "-56.42838844704997956441920534542", "-55.89820667988407777814693633688", "-55.20631726176753339611085084566", "-54.292089145418239451784114286997", "-53.53802135569875787370257425660", "-53.20499231973824983572345212087", "-52.091593698796175942211085359643", "-51.35804172986990924655327103863", "-50.55166128708605422521686800049", "-49.71901637172787104318917812181", "-48.85442870662977065711491224063", "-47.792017793432030274112995479", "-47.1170577507542851538263478179", "-46.54318986404724584885754926173", "-45.00968719391842306169473678060", "-44.46048877411292699291133393066", "-43.69998173410180839048205210189", "-43.173411238559589361264799728497", "-42.35781921900812965094082376527", "-41.55680545796789193022267467729", "-40.519750257206647239239440265590", "-40.0536790455098210338288206268", "-38.43172206872449764155842680543", "-37.543978518975478394534648790318", "-36.91702761512620250238301558584", "-36.2659177247853129480234710554", "-35.49218149297510519513037554036", "-34.56259268862933664419220963527", "-33.74929340602426317368993817112", "-32.53056916563519417394509601867", "-31.969000953556730665143281618871", "-31.55103577720283674316628058912", "-30.30560650707121991349444325741", "-29.180058661102044680068069181233", "-28.057066869923686840036518864200", "-27.216251186884000289059840902971", "-26.78638630262632390894598481197", "-25.40703775321823852456906411528", "-24.83151547096297486597639702052", "-24.330942429474181891818367617453", "-23.56883485638160223837875382940", "-21.95308249472855942864232914682", "-21.166136652013872168989593311386", "-19.90940883215151655413185933122", "-19.43968802637074232886117700324", "-18.234417529464982844283656741095", "-17.49254602048440609886872783054", "-16.33060557660384910913921901195", "-15.56645880244507327249531393327", "-14.60654685480896162015029024899", "-13.86527738144083962115680104877", "-12.89066495934289764571635031931", "-11.665981839489453992001489638210", "-10.04736278368044456185789664368", "-9.07442723715851763364884247051", "-8.40544327668001995115838463938", "-7.794193088536400574818187301921", "-6.42042553843865283587398961303", "-5.110265123455187807377347002647", "-4.31653033878708701276177145123", "-2.437959937311198288259938540395", "-1.05114632685767641725269596338"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}