# Zeros of 1-4001-4001.1305-r0-0-0 downloaded from the LMFDB on 08 June 2024.
{"order_of_vanishing": 0, "positive_zeros": ["0.2296688346626364113614866625", "1.82352891987811590753863587198", "1.984175559585756636626998387845", "3.29002248228578328763314448864", "4.20678480553714232057755935893", "4.73983036234104936303895115338", "5.779870584548652265291782568805", "6.64539347257537096026005990439", "6.85262415119254739999947205567", "7.69422834585084957713863205943", "8.365802929559121945255494701448", "9.080190916462602716051187233", "9.858331308362653994456730679838", "10.410072307672853585513632000858", "11.70912353934475356690769014706", "12.61792640562209975282252648007", "12.93162104077735356943666786917", "13.644160295242621918035772276982", "14.26256818168375436117751385946", "14.78620499140633925212865433705", "15.15293477807115185410497419256", "16.67345740382398064980342398708", "16.87629497896679118926435008706", "17.52623715286893029257304145889", "18.15781983632743695726118542816", "18.67364323202227891077967367454", "19.663882926435999314241408230770", "20.40113277861757883743481998118", "20.852003053706953389338804126463", "21.85222183330800829651975751828", "22.24187357346090737876150192931", "23.306307714485824391786032737159", "23.65401149546937298085607825506", "24.354234280409100203052786694", "24.78849326968063956841959825102", "25.63668452714327977180330973721", "25.918583622650533640052460236907", "26.49694912387532795331851542751", "27.16164880596133803249514835474", "28.122231942441172975892165852218", "28.89785653955161240773013269425", "29.67538397883233060763926780665", "30.07550071544915686045516578962", "30.831965219233515944821531811145", "31.17880368063757652274307476303", "32.1832052374138624573667080590", "32.49713236813320801001118427253", "33.28618189527458809359768424369", "33.860032738387757282509633837971", "34.161084814852528720983664539901", "35.33881248508739619572277442087", "35.66045102842986411417150977930", "36.385437302057980033456672894071", "36.84261171911052778861074634038", "37.05044853317463201592683392516", "38.18995555683475678008665137155", "38.89284837223969973974084990870", "39.77471610710292834622316980948", "40.41121862831664760390453213336", "40.818296819200995533540101167766", "41.41909097215479705618453750285", "41.917623759760564030455408035796", "42.508569456319485354402782992347", "42.98338912482885335133875363858", "43.86900525459309174477058024116", "44.16659765701226839341690768872", "44.65376683974227272638899104969", "45.89658799514473762391817763928", "46.16369239858983682083200471757", "46.47707356672753663325173272664", "47.65542444091128659004688022728", "48.41016606535481537080511575982", "48.84133695233879219189474912044", "49.08948878935504185527258191141", "49.72101057210173796632255480149", "50.46156443713580823649191724005", "51.42469317817333026837811971933", "51.75559613024394520993557084040", "52.544032522765149627108066802153", "52.73111501556623192566865993577", "53.37500864133552408579801147407", "53.81724786653045623492609544711", "54.43886483668072273257683468723", "55.28616633369072929478974347946", "55.66971652432876711176463629507", "56.69478689843698987841822851797", "57.266557935840733537971432304417", "57.76742125335116350444740695666", "58.69000712773535486913715268380", "59.00835103424834985802847132318", "59.58202312640132256345354601825", "59.95488301984466934304684690202", "60.61320066808028324011631690522", "61.112073637737060208420546895223", "61.82323301653875807673686092738", "62.30724456739967939328313039495", "63.10345297972985402058419545414", "63.69756947162167667250832929813", "64.136499964345723944326184953087", "64.78136553938568235655182950433", "65.34000209876350342999267004068", "66.07068443997726564558730721822", "66.46687999836310870020492263352", "67.42294484600162809067722756446", "68.0728053366719334838566622954", "68.60306373309923242829307867882", "68.77399335223061293482174464363", "69.63111426490108570415385296225", "70.191038833307013877968109934660", "70.7339252762307398268733305659", "71.09364709322995269558683342984", "71.98209550680858779203639787856", "72.38609790800543961540628113251", "72.50660425602181066523699090919", "73.328124670185609686850093815204", "74.51941268448589455740048134821", "75.20973927768575064153595944523", "75.62134297153831584861119640073", "75.918807679853162199913597149704", "76.63893986565278720882379977228", "77.15170451802897473414053533030", "77.71643322978581594543347131664", "78.379601492270219061002143898837", "78.65236088464109191462429054288", "79.55845943023784893074817020013", "80.15122019670418997881776175626", "80.63373888079352597956224523548", "81.1728123166966748637891638137", "81.42879992118498239733022894692", "82.38216020552397512307052596575", "82.805896753932105805836657224415", "83.39919320140748778406426049713", "84.209727986328955781814030176195", "84.67753770884532925084432339393", "85.508136751029485230029223420401", "85.870753228319170597722335323893", "86.58469427349400243542442055692", "87.22345938385580960156811181356", "87.68889487737813321810274000069", "88.172278519365930685122979802006", "88.496707757521989947797266358504", "88.80815167417888064558827084308", "89.700971122451260720699085468140", "90.425497308801274771905194806276", "91.043707827034382248257524548462", "91.42272826467112205096593258366", "92.097033135487239715957703964520", "92.78082972591827704950085175867", "93.4360272441957583934332865337", "93.96680811647032649318395067665", "94.60685677529223884375233431413", "95.158814584414040144807808816603", "95.33748421581759206911762216818", "96.05996324268737521478560159475", "96.93516168780945756682533351142", "97.14491719943120940576491683181", "98.15459386229715635052116013460", "98.40160751199577934026264923239", "98.710755424172544443194435289704", "99.65884282030631549834843153320", "99.85111689875051277882075721890", "100.38770755137931707531238687591", "100.99314904635806111879005283823", "101.89135327929689652247529267073", "102.60003209795423274959691870", "103.30692540340473033748925727474", "103.7872639845208166972669677512", "104.29898186030726224395766832784", "104.5296587454718484936808466737", "105.0409082890724728126683385861", "105.872105243730924694726161599498", "106.501113580757261167938914790100", "106.7309327691889818416918375107", "107.29694770916343241379487717054", "107.98756507196202400764284526857", "108.42079447561701371206908542993", "109.0366565166591165382800959352", "110.00662650735701828105270196940", "110.20299443531628174598887463708", "110.89588543559764837076086311396", "111.44825788097477314959476745709", "112.100890730519149389216235251705", "112.40326298840704681345377295039", "113.09175191206986719311823489431", "113.95580633162523076860741209774", "114.59724780005484315815726136297", "114.773483791335040259821508430371", "115.27745406871722184524360427231", "115.788629443027868334303351297266", "116.51268255606799120585600115326", "117.08462321429266051274079022267", "117.40780028955783263607174073549", "117.6655047658738460861729432824", "118.61631969031338226013116934770", "119.3004052938270483913232012955", "119.872262709259525970026020474175", "120.57611047342928507445644979234", "121.07583435930562585882736026663", "121.77428996906815066454660073779", "122.25451352828634717454317150529", "122.776079844458913351459940526041", "123.00505950500175122775241990949", "123.734061317712802791746513585736", "124.07805868632810921726051283838", "124.69644134591981307244650764263", "125.479081502095302387560114529200", "126.15840456833649969910565636742", "126.548628861821741531630398813965", "126.99500713480596214272311867999", "127.44258486571387308073332676751", "127.95753461221864158362665621150", "128.522029663563386172853784201192", "129.644969968935556751917866871281", "129.977473174897004950428225512972", "130.46814656691603764552340741439", "130.87288793959031150409875490291", "131.795359726554429778603661133115", "132.34460690857324902046996631426", "132.519796470567061635560719777860", "133.32648843045669593868446115991", "133.76850478268753638152400127766", "134.19203173413447482852526632789", "134.63882590982675616563987263265", "135.20080525395474618765109044693", "135.69746739565969412101443026057", "136.33255067601850929267656648203", "137.0831883803981364094267489231", "137.6240658047736263786488910469", "138.48212951599259326478912997872", "138.91810767369248373740830541981", "139.23908779206661149463754476404", "139.89868583280482452821143324209", "140.27018215334781015848543418735", "140.95093921237937445615098854627", "141.42946221333311348537441714227", "142.11351700409349415845000649639", "142.6725151409119268665019727268", "143.16856538463252435259642464917", "143.57700548021845135910865158101", "144.064475974476323048819013311951", "144.63922866564839282258976423556", "145.43566582431058823155886916017", "145.70095225974765172195943614631", "146.28203691801408800044301947456", "146.80482884333654091105173912166", "147.24053904944697327397701361163", "148.62070934884414334146417215988", "148.893402187887449002191183639495", "149.180073940206717941945858317387", "149.85850551071319554796086676881", "150.4925767348122327557496694322", "150.706524910551488546377891553605", "151.13800539610085251418377442884", "151.948042726340127915922556198531", "152.231180080104716262931405205660", "152.84286998224049119647812140086", "153.51730834240773911506137238470", "154.12153661243137082162102210417", "154.40856970732530211619702126202", "155.133364712998463509271217570477", "155.77976557965284095494633728969", "156.33448073626485395971941049785", "157.03539004850350722611518085174", "157.29061047214559143448155112073", "157.96900636741175670936217814614", "158.66754788481634104282838997908", "158.91885281692627298321246391802", "159.478486643228790148983898963681", "160.06838063394478143295267530526", "160.89202725113338718467448281303", "161.36596038654383439999161151844", "161.76050687144241444980966533825", "162.154117547888613433622781485045", "162.465971596213637827258445517913", "163.08333241128144597079736943894", "163.79387770007531568886730614633", "164.12056045465767123963077000951", "165.13665577608750035783668480482", "165.82882006751264869509837279318", "166.39319302447675155478201591748", "166.554117562638403780578707671026", "167.127225808138444093169214603995", "167.94946972997717500966405208322", "168.43064382259345717612938921212", "168.71704048249411296860988607907", "169.321444625020873932860298672480", "169.67738454101012330069182163715", "170.22861646841989537881489017439", "170.93354447128368310052204104167", "171.39999193756867074831697958350", "172.22422082109493174777207109262", "172.61357414031947251901097197251", "172.84041654532622963883627529396", "173.52386211509809369699428629329", "174.40014844052922553429199375861", "174.754445653309238719000589270776", "175.09547759678519950325278230384", "175.90095691786047209200293215330", "176.523389124643792231830297058186", "177.17221589691692662272260147125", "177.5881589380458441320617710869", "178.07402104171017557502489170109", "178.58807232117642083260083770479", "179.04713822812009542793803307533", "179.25888346180332798379824219808", "180.23980242159230826898517231918", "180.57739325543930265119935052203", "181.07823083498547593522112909332", "181.5270045100498097554273256440", "182.04876102520282373408305937778", "182.83401731347070948352943208509", "183.497741894706435792122326554004", "184.211334843026023292032799569401", "184.74773182282718498149358781362", "185.21691827319320571923434363573", "185.48803601382846473939199080922", "186.021531080677563500205054467410", "186.31291707784773698317370056065", "187.11232748861637681696327514725", "188.015744661908296964927832391350", "188.103178666679106342649322213037", "188.80992725229709412456585362184", "189.15219543054195427177265153935", "189.84982187352281226843657017392", "190.34332922010678710855738456861", "190.82496653796667901566070901998", "191.01890766365087439350799593138", "192.01060158209682315722678067489", "192.4827579810739886048917710197", "193.115496484469808016839062136006", "193.73592078732931654710224977758", "194.26286883860465408367850763422", "194.79394410583657980675689962212", "195.33373868912187809366502098789", "195.94937646639840880979149223354", "196.23790504467943214696339575955", "196.717971275700073779654209734013", "197.45257109350776875516537431320", "197.75922328497842526221059490577", "198.07914808895430532431692390266", "198.635748896918069908257821718650", "199.27803884466577013330699756438"], "negative_zeros": ["-199.97760484369411199046519419310", "-199.27856782304156530076203604344", "-198.66668075192054016164607476857", "-198.43155275749144408619903759907", "-197.43158275561917905837663608201", "-197.2009351562517206550529132372", "-196.39683945956660730136424683462", "-196.08926778988703016822486369794", "-195.622500041611774878489211937622", "-194.625655983722982142317199681119", "-194.15249611829955320642964344868", "-193.796338527647714023286634468609", "-193.23156148041660780824536958238", "-192.82813176169438790354178874872", "-192.33273423933618593119665685550", "-191.88228796565260201147622257886", "-191.57438251356035016935684494997", "-190.58688400297876644661626233740", "-190.394570959672095301096728019135", "-189.581629898166372767442658885392", "-189.1288959173763019276596709314", "-188.59147048165644221213874149197", "-187.917493795876792857974967204079", "-186.96756836783087378339568404683", "-186.747064943355420285463232623499", "-186.18531228119059027122148267266", "-185.93915722294673652734695586820", "-185.49099236873847243868995171146", "-184.63405465599983518528759601350", "-184.33760496374086496540365374353", "-183.717991810572911960677175318634", "-183.07978316255458824346612491626", "-182.51856455587480264480869852363", "-181.80518295555787591827267488172", "-181.74792753660011013872782981371", "-181.25187101658916992714294082522", "-180.58921233096232780423935396234", "-180.06561532532298872252791256125", "-179.44129435056981396981120805135", "-178.8130864970263414331140067348", "-178.13850200613971050091675597989", "-177.33831373808546760690830816602", "-177.11821583069809426849576465560", "-176.52851368469169339805989562528", "-176.12024018686987010385087298043", "-175.57739707364032550862166641801", "-175.1111321798828079916622257067", "-174.3019298473610831996532699641", "-173.9720978052993456685480209774", "-173.5844600223877379691155571474", "-173.29032515711990202680600381001", "-172.59500328389053976190917221875", "-171.81076100481582759209307299756", "-171.02586979513389773870104225987", "-170.77591970023424331833888044751", "-170.049672472231499426368503608134", "-169.41995673367108421281849227608", "-169.16783872806608822629773168493", "-168.5759986790255395955759278763", "-167.95639726383778075297855151137", "-167.48703199584400543133023815747", "-166.58578875968579166034752692998", "-166.30255205771722122439835534888", "-166.04766625494117047049750841793", "-165.15337384730571609630582721991", "-164.68539670269620604300167609194", "-164.2650746506354399099355459861", "-163.87654324887659507052114088714", "-163.12524700091737054388890767693", "-162.73327927727031079839936807686", "-162.26368418565165670542492888363", "-161.76146393887739355415559346582", "-160.61024464409892788928853159533", "-160.30874418012178883494420219686", "-159.70586301806521677675844909507", "-159.00495410638554645698876865245", "-158.6492960317917256372095429544", "-157.89616410362371101061826644241", "-157.71115792460446378638800309457", "-157.29448556387235333056356024408", "-156.88796837539228623437755998118", "-156.0829878247859180809692545339", "-155.54649936508501599142510578288", "-154.78984516719050550820365635469", "-154.46078642915061878558499516142", "-153.83040844267438574095924503277", "-153.41879753312172449974116332488", "-153.08641918954081117572107441540", "-151.946299521953990788135572668140", "-151.65511876381723200090929041161", "-151.00178337276900906212872003643", "-150.42877355280423555505142515520", "-149.96183099449866283777552408474", "-149.618136585985770298917338001447", "-148.84730567322574462832336494806", "-147.93241247762256114094196309753", "-147.776423934116540135060753411458", "-147.17847179557875371197812236909", "-146.83578448076789580172934187605", "-146.43443919792941467308433847743", "-145.73871975806098899675507431583", "-145.13571435113295680750905572369", "-144.879038460867939480431312139466", "-144.18077101490088789558550904649", "-143.41553101375192314843932396166", "-142.36569809874218106650890603444", "-142.18964252813698714927819250649", "-141.70857226423148353420601842221", "-141.30594131334341440182584397654", "-140.35891002815507159677540582340", "-140.093528318333448577227707075236", "-139.7953080561782081790772933524", "-138.82310370727901249354164086923", "-138.632935748211397950738611623598", "-137.97556263936002668797300272158", "-137.21205018811938452464678184622", "-137.06307929761840494249870445350", "-136.331250511745247168457471137595", "-135.60315791303323148951521412532", "-135.04053160845295360224221912540", "-134.87610911028807206190830380239", "-134.20469900509520264164252795893", "-133.66400288705178492959271444617", "-132.83603586390161962978394585199", "-132.07563358416308438031384117385", "-131.43164813217171703930813519791", "-131.26740262755483528583893851148", "-130.645478182875625996765072973756", "-130.12864554091318548624220882232", "-129.6614863100488178650795025795", "-129.14786736304901321326019301948", "-128.44535356463705859261996733473", "-128.14580023842240259946373731119", "-127.548321922547433907099065078637", "-127.0947290593012343118185890194", "-126.25748871167117196848184395481", "-125.889435275249723581612126482216", "-125.05725801975029577202798327801", "-124.3664440310322635592179866231", "-123.87913592016498509427605444902", "-123.441400855116292523780944027131", "-122.86289499241000319791563349500", "-122.29677760065238083221400144007", "-121.76015174214818806384702207863", "-121.66664240939350255667699152931", "-120.37731316611014601106304721869", "-120.13807396050785466635349482528", "-119.53275785588240706753294895699", "-118.93099351066815798460463198337", "-118.50330681045670856034841963372", "-118.004148896801065000171237451718", "-117.861419004086013420045974192811", "-117.03134835493009779575073396338", "-116.07724381919290375910596211144", "-115.52935335041712105453550821144", "-115.19946798656546646714677869563", "-114.353254384126859762168911783671", "-113.73924698871412216951560704839", "-113.26835360697872836187156516708", "-112.75689747045337543878875412041", "-112.19888741124844549499575382534", "-111.66516043954920573972794307975", "-111.32260632554743821967484202607", "-110.70552154354674796910570136124", "-110.4550642336477251454898822104", "-109.56917369288430899712765654659", "-108.77316287901730426801555003317", "-108.31694150934946716194657686507", "-107.97360057308170607073171893333", "-107.28460299839138515127078051554", "-106.54990549695064543261927525998", "-106.05944077293386227606647054172", "-105.36353892903195598490354160675", "-105.06466430139485338650522915224", "-104.45006328692617386574775067855", "-103.59764767625292822500186202631", "-102.96440323393339893232949037652", "-102.78677461231309479582362957409", "-102.12468202162456191932602550618", "-101.7785979995141492241777169479", "-100.89125257555744721469901770552", "-100.29939567344747649803727645204", "-100.157662345672627625431570012344", "-99.588616697517795341707181670848", "-98.99677009198453581672242943205", "-98.323186230811154434425683247964", "-97.56126793478188812263467597843", "-96.40301313593272215481804872621", "-96.22372983943990812260397701754", "-95.81020817275491102283699009056", "-95.23348169616158979568769328765", "-94.91561770446971852556357386808", "-94.24213287301995024872291762691", "-93.57620380782236523798092422173", "-93.00587248726305615356858118236", "-92.59494553932567037139136718334", "-91.75556211055161207650677633206", "-91.4579611448319306074700783485", "-90.91701588347030995762440047061", "-90.08419445635311342454395955035", "-89.68207449212670470327658086246", "-89.22726873743873128095835313109", "-88.26810657476934485304830959125", "-87.895160861133541090089193247", "-87.303476533201308414177239694633", "-86.53984142621019906956869540623", "-86.07692571856612809845488900439", "-85.3903743494616648531240949411", "-84.847643785913706535703554202063", "-84.1479511203698462413114521339", "-83.9532797821223814543382291371", "-83.39869116397456577330972299816", "-82.84036275050047388958976783655", "-82.42677973608454320850594540544", "-81.72412633397236026464396435663", "-81.08583287267895182903096819870", "-80.20822936464608447159213501158", "-79.744054691357278875593769381357", "-79.033704383529284636972774372650", "-78.68247196961863199633071591035", "-77.86045382760650066972045149636", "-77.27459838780324755742789064779", "-76.61190016239032688103557115481", "-76.47603998541180083889941412103", "-75.92291137606753529444533737791", "-75.299665497596634517676948197307", "-74.385057157330858388080437143489", "-73.80372111046665762540832666405", "-73.36707438926352757909685340610", "-72.97882481086227508064923108408", "-72.35067857311474780137251399608", "-71.78526294974044518046584626911", "-71.18486412570779866524150234958", "-70.77571467631501982340582569780", "-69.4507919066670532191069455707", "-69.21086472980211188238244439674", "-68.364384719167821775718530842962", "-68.10506766429789013671303232227", "-67.31549157105172873206105821564", "-66.881704744471617245552564613733", "-66.33919923025250421739770412307", "-65.94278059342620409640925596441", "-65.2849371874901371714981782202", "-64.588105682583700840135085308432", "-64.00398798680619096969329160157", "-63.68324765850419805386362176362", "-63.0357293348467782775321677564", "-62.05008642381004485205365101387", "-61.4617653288171980597387311944", "-60.81928939089411612210937453879", "-60.21816771448477004272349628924", "-59.86917071356300369232873385837", "-59.54616984835086998095207415770", "-58.29813082950901951841712138263", "-58.10300390677143264062768335952", "-57.20713150389832592362756499572", "-56.73019994240082987461376007296", "-56.17487808334276558139269980026", "-55.85563061229714024767668393937", "-55.273862769497015300497478701014", "-54.431103513667788821858032288994", "-53.95558458561540461943381636732", "-53.47727561603694229192530029204", "-52.91218980153038068417647646843", "-51.63572422633541256182764161228", "-51.30733202532040522746202258749", "-50.59106571606574942808572521696", "-50.0312635398647342873706272468", "-49.39874924394302212401023109268", "-49.07733361371803135650638016383", "-48.43007871338299559554960876794", "-47.89837432991155969012361933978", "-47.24856614836523380764208225167", "-46.92984880065974027269578136907", "-45.775747486248020928905032313804", "-45.09498213648981063121465176976", "-44.9830628671716692108745865412", "-44.227298030014426692332681024932", "-43.75625296134834849281787342405", "-42.7491162680750353250962408220", "-42.01700720629783508429382483083", "-41.741856701911005081240722565757", "-40.79646612824021140067868428759", "-40.41291236460527253247156890663", "-39.68133829268028447841838481044", "-39.26177354351385979768585540346", "-38.25884336420609418583137425048", "-37.889776542459806144740497404345", "-37.52327394224802824984082626339", "-36.93446555980829335762103994056", "-36.47641704215509813827123980304", "-35.69993200057671326564217775880", "-34.66914317444834559586690626728", "-33.82434739232079518261691133574", "-33.64710108580293086658264701808", "-32.41746554627353725335005363837", "-32.24045336195190283407050842127", "-31.82320142052000592185887172182", "-31.093033443946715662148813747009", "-30.31980190894383551423169871269", "-29.80216814111820616157069513623", "-29.07220683252765407923080468682", "-28.54110502997004389864496584770", "-27.85090697779006168381791772650", "-27.26735902295558221657446230470", "-26.73103755214953783874998108768", "-26.01466218758816419787346350393", "-25.12067796410665072778485929505", "-24.734716096897856373371241040023", "-24.032869779053807235750962296701", "-22.96737521957666346031998291185", "-22.14133404360938843905513864329", "-21.78279215772695763705907519304", "-21.47070831440125814483837797772", "-20.84409552381991525253740596930", "-20.02384762880485492305437604082", "-19.57214524810310404085544422571", "-18.77437559160348847431507015901", "-18.10146870834757135942178690730", "-17.486589699671594168950712622771", "-16.69271644639913261967569016064", "-15.697918269395931134292361741061", "-15.096185766479866500737125073716", "-14.48995239999143463415791265489", "-13.80849970839191706643032758944", "-13.32869825966323446285896001741", "-12.59730652910266597246343269381", "-11.619251522317547381197936273548", "-11.06848163763095930434517358858", "-10.40206689702418156734914206896", "-9.5581903968162716660863752390", "-9.272347693996309617502162414749", "-8.56781579943385277029826267110", "-7.84874048698846562981058132124", "-6.3463664781811852254192544088", "-5.6531318615623849913563254221", "-5.05582393703796425441027341679", "-4.49216444503718678908483536117", "-3.377365718392113923907559594902", "-2.60374734065427060041935415705", "-2.39343406513159888280012677749", "-1.33465401094908097337175564604"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}