# Zeros of 1-1045-1045.802-r0-0-0 downloaded from the LMFDB on 11 December 2025.
{"order_of_vanishing": 0, "positive_zeros": ["0.73353970400008763382281476763", "2.45961669161654975866278230180", "3.004064965171087537415239786413", "3.76535704615003479631360654237", "4.795229769263966366180758876769", "5.57101229895198791349594418374", "6.30098792606573315450460471309", "7.743991777698282954353749934803", "8.94385917147510838870341109354", "9.50420675369281771144581826245", "10.252905371172795481647330597182", "10.96818550378384161380122818751", "11.866707653165038336291386574368", "12.73937035477200278674771256347", "13.47308896450474200614962153391", "14.28813091807459120791001523482", "15.16925186365747124416991449882", "15.65151716075859530037742693258", "16.42885812218166173919615501911", "17.55805782852232471224931789349", "18.72652014429859147144979245754", "19.18988498456688150628401961153", "20.147751691630816195388975271669", "20.66473044452120971230156808014", "21.36835861954082406866325708202", "22.16374638890523907832080853667", "22.77291160724378436452605860631", "23.18033356912879368950270542176", "24.54499846500756601528069122775", "25.22748966917961681510889906501", "25.89695736649975313318362388693", "26.9598453549342462551991005705", "27.638833617751264239960814624906", "28.13125517057235146906126191909", "29.07701238728680107112380504362", "29.524845193142751623346540694590", "30.67217253041182256450994592002", "31.18342329834097479811196738184", "31.95938787793394049601005025916", "32.54195387708251790696426909100", "32.89610601105970953395886525419", "33.92015117263390511695695081808", "34.61630163113220201788116503365", "35.67937412421520130265241220050", "36.52970636714847607489357849679", "37.31190204193776272490224793607", "37.81290045335283206516680719722", "38.707423934074266529144697216978", "38.76209783953330476584027103554", "39.825667621195193785755504162039", "40.289380326888707623669980311917", "41.31203144711852588781715933427", "41.859409565196332004410405558180", "42.7627841836987505493445482584", "43.06340654313398455441451435019", "44.31798352282786234582870784489", "44.959553724469938092080909871153", "45.344770389375505162028253482336", "46.22612685361996708667658558119", "47.25160889318727748429639421894", "47.71440719533493487312040256391", "48.390381329134408768505722535823", "49.08177028361828126550039180628", "49.6670881719815423909425012251", "50.13638054424891982017385398894", "51.13606190476236758432857491194", "51.390824222231499182177026977093", "52.14034396704983645428957971106", "53.398702361388294791226366488976", "54.265811988094075387320843072295", "54.9183633731754247554799542254", "55.06378005019710275735881921402", "56.06972817774913950106955832686", "56.69034176742377866548178554300", "57.191166031616870444648768036875", "57.86525590068708561544085577903", "58.75191351110664678230437515244", "59.231984547347550708381514114876", "60.22213532231152247483889306053", "60.56243709302708916028718205175", "61.21543175603001152802630605235", "61.91490744904467714769681414922", "62.768953670096929553336982126", "63.56320156362721472022009425950", "64.53933291544886587143000792510", "64.772575981947689239697818886184", "65.63539356706386264101739988513", "66.30840043883816405189297049477", "66.91371022186356836535798862516", "67.49388964640764006530363447971", "67.79310156110594874314947084770", "68.63977267569253680629791583254", "69.37707005059828378166178635348", "70.01503129039044526075259044658", "71.06485004735060475167506270012", "71.56837775619617207162228379372", "72.33781523313188827267878528385", "73.09167177581189205517947883343", "73.72638657191664551612540735000", "74.08030333901283601717502996146", "74.72949124700031328828555350996", "75.54716070660121907676092542768", "76.58768926384963065383686251678", "76.74766672528226325832096098507", "77.51874017377281709919468288283", "77.94995301961834280554769269115", "78.880081600665205835199768837984", "79.12656703604582388198456739153", "80.05803028514681485558123458909", "80.94811624641653012600250234193", "81.5895533484864698129348833618", "82.631958368584121487534917300972", "83.02356148317787769723106757723", "83.50505476996635695420238879629", "84.29839192184150678194411547053", "84.62511924219253469214587733688", "85.22563302410098517627717257548", "86.21606185838504092572801796995", "86.47767162145101809599434955749", "87.40422150489081523619674639880", "87.87926819370051588524183998170", "88.88816088416304860412779481650", "89.33831536596200373173210530957", "90.26804116441516188480561732014", "90.64433458303774930080861292814", "91.467369088403732985715743068965", "91.89033734788484549107052405990", "92.84531785290614654611361703456", "93.6418792112154581742661870217", "93.8777498770001444706927267119", "94.47863021437192668307834038056", "95.38128595491521831585986689181", "95.85290787644187119265737513857", "96.26892580207845695755726211364", "97.02337415024092896551158000379", "97.38367653895378411497588872196", "98.75329864433361033165545973825", "99.36410321078982235546008153550", "100.03785515993187197260956789631", "100.837417277125824841061444888333", "100.89592526709614637751318967677", "101.805587991614480098547833669861", "102.41852452688454149111994280371", "102.99826132599523999688850274523", "103.40392765384253803527652723476", "104.19654867024620257056580767545", "105.0953892621914601975763869971", "105.6159476623722368436689068868", "106.07291637988845974560262272660", "106.83726147860410011512982818082", "107.26999806050741405195628261087", "108.339495583645544021333467988150", "108.93964526603626520548836773039", "109.41630393369638956633218550221", "110.26833239226783478200607634996", "110.95437449044215159050374113975", "111.463636586785065613529110296525", "112.0644439823278261461134128319", "112.777856268353735067298736892013", "113.04231509160083848924991711916", "113.75182106913832989953699489374", "114.19969213455719169240648866334", "115.0671595332567738451835405753", "115.87245211571958865016786629469", "116.3653098925297877794727467895", "117.37712507390246570365060912392", "118.00793196897300924384501933515", "118.54441156798489608992051098358", "119.06463855526967394092556305407", "119.56465016482009286243218241810", "120.21694570258167496112291032283", "120.89336106587687480118682078808", "121.54181244301034931250110379321", "122.42823251880157810669978683686", "122.79620041559335123215064543732", "123.249043615958804216494985491595", "123.86215736010622254847488009198", "124.738235215411874311193145214249", "125.1355064002773766860106975712", "125.88115377557665001473656411186", "126.62758377610387995617487429519", "127.637371965712635105441607673176", "128.03856797882799731645797454483", "128.78309078052932906979781532610", "129.16372279711843265744846351879", "129.75110214245047997423832863269", "130.26704121331825619970028072433", "131.04279948012596908599245622581", "131.47628597109165291163140621396", "131.99718613270730422840359198785", "132.87583385268687705441277209712", "133.37828559840424783934817187881", "134.16061561897714938035208906940", "135.075784074369320616363825417477", "135.49463132684336588930846915210", "136.04141880453390800220129615860", "136.67263135445425969956260099546", "137.39703641904485671225509320888", "137.97407679001081882520387502260", "138.57796102894148441416866899748", "139.268525937821119008055861918691", "139.80904014589888311528378291345", "140.51645917554463542536201703633", "141.081067879602206843234355969172", "141.34117078964690931682732552661", "142.26644698156696345618098504615", "142.59593996995526956995234540942", "143.175702486105441220877551913932", "144.57595991193161236065875135304", "145.05194780866326211373979130823", "145.47347754252811654821823296244", "146.23787758050640043232621405211", "146.72448324451993766802257991474", "147.479777463313992574100517324341", "147.90044238019043406179977886110", "148.213593913636966199662980327611", "149.11032506368082973765496656595", "149.53408595760549782495698891078", "150.42417099614967435290755298343", "151.11272988019677637049775110699", "151.481386980182649148121272086734", "152.10554059577910268548361864844", "152.81893085713333423005338125312", "153.57237047296160180253188224509", "154.32800167578974485529468480692", "154.61268238824777108705602053817", "155.45742593725962397258123404229", "155.994010779814080237570977227894", "156.784912035440372470370051175086", "157.52027142079392878834550872972", "157.764585953007400878149515612951", "158.1861585559110830518597717560", "158.9680011520235859041548196298", "159.52181798062451148747922577321", "159.95803839235709811785107381814", "160.812500137926895669505125759165", "161.295475756839892904339994234720", "162.40445140867708833602521681167", "162.97234241755102186159242566043", "163.50374010166218086547751223702", "164.19599645162162258178428797557", "164.7983923608230134924857238851", "165.050100980843920347815539195616", "165.517981436859412287785312840574", "166.63545746904416203030326037947", "167.00042069219771355242404767667", "167.61072305030173935694576103537", "168.35215255088419480670745939128", "168.68617154246704252387756561369", "169.593622517496418443109126485251", "169.86865244373391262548603136444", "170.575146862490475593336776762694", "171.43305307153533994260195704667", "171.80429008773374370023287892300", "172.781645605263764841096738907684", "173.43656644545125544743986024824", "174.106882857314778999019906399594", "174.44478237297374650492341395610", "174.93020980622079220055806438142", "175.78803239368402896570587721965", "176.006526169805171502184582761372", "176.914794261454339914375847060737", "177.18488713363812687864111426591", "177.76006771000057518081273214805", "178.48154715949060307673586306724", "179.40978414522948210732235839728", "179.97933122978060274672417256104", "180.63258952072454719132087928452", "181.30403650650829788926553122052", "181.743696807364522307281306001890", "182.38902314472690352987459850623", "182.97309575015946681662218560152", "183.55813748272621372446270942575", "184.103862964941441754329089469", "184.98942904688237033186888500515", "185.226659191527549552390925237936", "186.05016125085000994005660130433", "186.75888265166850796061993265727", "187.01134926887189138981421047681", "187.43462896098194149882284694512", "188.09666843065017517801117347471", "189.09848503826685855918632909360", "189.567313593266286739978333681550", "190.58261098707329116277528518948", "191.0259882784524463245545124829", "191.59655344140593419641816528197", "192.1730967560255552999852886337", "192.7481280125166090803475071411", "193.32989148317214309935886039105", "193.7641503755221950333450711113", "194.23682937198682087803259766251", "194.829158430964015315456336108216", "195.69102808412161627149732324264", "196.37018108761135275205958582978", "196.78924300555704837016647825058", "197.32058574497711193886210020774", "198.14192585514275243445188876371", "198.814158381254483207568839310018", "199.58239687850966119203791968079", "199.79730507741822651311107986803"], "negative_zeros": ["-199.471108796252947416478237792375", "-198.73309368758218651599000048487", "-197.99488537462992932520315863479", "-197.44377829170875546892029265271", "-196.99260858975768687799910844144", "-196.69251853077794051792725882418", "-195.800083315962960490179211590508", "-195.33882210300043408311967256189", "-194.92683153806548192848437919129", "-194.17523723975206266382615613775", "-193.72474776599370191607211235307", "-193.01256706136451409087852403952", "-192.2356631571579844414676259445", "-191.50623530039238752836836616577", "-190.88127491496358682714390277397", "-190.23950261640653893481469499408", "-189.795077649901711734309593770878", "-189.423371159005084708874273160991", "-188.29758225164963921617783370737", "-188.15591246048783414363081181404", "-187.31786399642138516852315159602", "-186.91502413667852240909716667525", "-185.912351982217191681684117528929", "-185.70487601169662797523044745486", "-185.00861162862276720245624709938", "-184.53111516365733249240268367519", "-184.01330565277959088650370954557", "-183.29516756877413793653809157078", "-182.87791824737807900814707323055", "-181.45570476157025253790501625519", "-181.24381957518829998288957454637", "-180.414436201502930176930439690585", "-180.10911599343911817944497778210", "-179.36720334543363228743713989352", "-178.72915723452938958880734000016", "-178.220124052786047787511559372660", "-177.95361597365989252796485241307", "-177.10017854607141488538964186158", "-176.78941831017262279954691591867", "-175.75807025746827893312554197248", "-175.1630969478824195983006006695", "-174.78086542708355357166451856437", "-174.021621174190116873842685465452", "-173.45620770080588429782314568863", "-172.56860150670286749567884357567", "-172.16589997474411869216951752821", "-171.32748303250140983565974224406", "-171.11409837120078641844843781014", "-170.2443277908891503588739753553", "-169.52863329113676682868712399174", "-168.96874303784821938417291023286", "-168.344351892551646782264475173016", "-167.92367399124265235437070318785", "-167.483871139631410574796419608882", "-166.91702533006827580486370934472", "-166.07058274054487779861393323353", "-165.65387885438062870629305783585", "-165.083823688499517292623562977978", "-163.9418837768432066359492927688", "-163.24599988174127676481588720487", "-162.89762527824409099660169972980", "-161.96760370103946735051920244008", "-161.73362776356885174669655734184", "-161.03347988375836895961569142972", "-160.74478192669115847386893041133", "-159.99891265146336893661041054542", "-159.14140456549816809044337405302", "-158.66821294472201746514913769155", "-158.13806849636817575899261444986", "-157.37333360443160809244419343709", "-156.988634874872746239626792256823", "-156.11588281156938970359898804224", "-155.73861494343694814683850073575", "-154.94879657149402697071269172495", "-154.30413530108336323962642107959", "-153.64059161549153598943215655028", "-152.80883453585985677835240516903", "-152.25051317548017372127222324492", "-151.62366029197352480020161643814", "-151.27430852233557627250402028654", "-150.675920807101841629026868585422", "-149.90237656460773920024623840175", "-149.50663091560933491787441164696", "-148.95663284331521581116398419013", "-148.288883111232617921803870705401", "-147.87559203703410849955425161232", "-146.748032185585897132851294191887", "-146.01422718065286124257732472404", "-145.52306789251525404030432590565", "-144.822424857545044889890623549200", "-144.393006842840121261181859484502", "-143.61869922429815193509071774381", "-142.999128045494589336175545249009", "-142.82735003417860011559068092542", "-141.68261785933432154405310747877", "-141.323443940833953524583609998728", "-140.700970823681554770072360940804", "-139.9069957971084621078191379688", "-139.265702816031013588769456470", "-139.0584497759160691014416483344", "-138.48967718206110720227964517167", "-137.71130390159844478151060848645", "-136.78571113946403298686165545651", "-136.142379177018820789962712385990", "-135.39428297066715587937196008700", "-134.825662083007035799003147849361", "-134.19865372714834825885883374619", "-133.61716709060800045189857238509", "-133.12538309322677759410466479143", "-132.48880985921832135998726789030", "-132.10230360955307298860923359836", "-131.40392405401111297519084626997", "-130.90255080844749368090033880091", "-129.747496347120709954588841160883", "-129.46896040004139609114700887529", "-128.955569406102135796764183596045", "-127.876479156355958531562360489285", "-127.4337458155614062460809304698", "-126.597336343145634956529200349420", "-126.03600902593758669095670074335", "-125.86138747415050343424282691857", "-124.87528449021503047157141922145", "-124.07001893023392007563595748895", "-123.59030871826749433452957571069", "-122.90154559754155722142865159919", "-122.543921296948769323924885720", "-121.877341789432206767369717337529", "-121.25273556694427502280283039399", "-120.7982170309737060373308753504", "-120.05397988263888487318643439351", "-119.35555262237021161295561829425", "-118.54273100802641763425906723889", "-117.51289032268571098677117075325", "-116.91584255968332924574473627491", "-116.74551326562770790478725715037", "-116.04926932390267816303761748930", "-115.44298225719477064858428448011", "-114.73525994432533356206908729955", "-114.36350307778631847061039682666", "-113.56271212706243133846286994809", "-112.88377063117347300247215023617", "-112.34269138752243327119723460519", "-111.52878678176648057912346146304", "-111.15221740144980509182178359842", "-110.28178214852434634733793815842", "-109.4889357371605817463439080768", "-109.31979377791500433476630873969", "-108.22988589829591514982545120408", "-107.544419361974341560016464434206", "-106.96417483575578341031715014590", "-106.335652079018188847597223671964", "-105.744448091040643274093570734485", "-105.15794033675544473397041034002", "-104.57907611882929247365357141731", "-103.86170025605751072003710579792", "-103.574879905135037836824607227741", "-102.93187127596899677729004815189", "-102.18336145853219977439965797559", "-101.24408754182128586808771687637", "-100.36796524614062938464200609960", "-99.84949887505723928018710262703", "-99.189652214025950713716614151528", "-98.773467987764209102682785961719", "-97.82859452363089956911599050936", "-97.49995192807805052550124974491", "-96.88395454034502908561463998280", "-96.33976814498106832855227695781", "-95.31250502906620852279891544270", "-94.68563138277697721422850888428", "-94.29838627669873639581673836039", "-93.750964709992836974016910186880", "-92.89816277625978402437101861881", "-92.57971544852496490207690587765", "-91.55942321041652773250741863345", "-90.73780354945243935762660877878", "-90.20281248559763919219739609009", "-89.25946407104220192102427291289", "-88.98512044674595089654599822980", "-87.8883651306980091953675627257", "-87.65858606548864176287269822220", "-87.20583875862303808124789772675", "-86.58823050186403943145042459802", "-85.727302549492114051543186784749", "-85.2876452815157665979701132240", "-84.483337291672359220118171893430", "-83.69028844890555454127181224473", "-83.15327200343619070917535105815", "-82.06583989709179121506853893060", "-81.657704068919085037420604608345", "-80.79899417316132734100633258656", "-80.61347404052048052206722459990", "-79.8017855852089371260822630786", "-79.03791544539752419686844594541", "-78.26632793280984149859441359310", "-77.56576942384858210431404918230", "-77.20088000367672580072881329401", "-76.6528080106752135543007037189", "-75.79631105546631634941800020272", "-75.17448325277648667971106239063", "-74.832568729715104866836122160320", "-73.98107860235163652349062869923", "-72.82447971573017541503897482409", "-72.06252605342085743909319071482", "-71.63420065070979753898374323113", "-70.79125832588638918362744808992", "-70.47149267239250937244306233461", "-69.88669269040627984629652018893", "-69.02296443089101271568401191276", "-68.60674269627411951978621972359", "-67.75096028226745825455721431624", "-67.39186645183547212211748005873", "-66.29870692220234259360969477798", "-65.68550331955930484492293680531", "-65.136762596377866823841877877741", "-64.38229426057296202560186108206", "-63.51981184598066148421700122201", "-63.008128248580663088411028364929", "-62.289024025267186371426327369582", "-61.36919762394768126631801974381", "-60.92271775320488317497526853726", "-60.27250484591843318527065609868", "-59.40359348955716630025995278119", "-59.01331448744528766545873017155", "-58.375255179206945522814951655011", "-57.79338973949935580433232365163", "-57.283539522388289737797662669", "-56.28980715441901977905357038020", "-55.13041719126025579759370054012", "-54.71010199751802519462333135619", "-53.921400270152908716295828368443", "-53.117620527054034621686728730109", "-52.696794989729155811503039212382", "-52.15597114766951391860434348874", "-51.28487071447326231749611069165", "-50.96625305910364982089628828698", "-49.83626755681728467160707906972", "-49.21553797047198512816458122281", "-48.565489489265704652343030819281", "-48.010995626618633313676557200732", "-47.48760342140438270721840110536", "-46.3595321741765468671360218700", "-45.57509139449554108309187779484", "-45.23510734618939270620712912641", "-43.988621641062237638618570966049", "-43.41425866369624366610996962015", "-42.794346204026018794112845645", "-42.178863304345580600791584728233", "-41.52127493612234290393825073232", "-41.049287875471784243442979197774", "-40.32279454045686181823917970577", "-39.52113091384791188723252769503", "-38.8206546637858182954827158502", "-38.063898777780498037312159737", "-36.82005001748391767343464849552", "-36.323357901320694038124095981", "-35.69845792307340669836843685996", "-34.951506029780520103248359871831", "-34.55953707327609114594586772019", "-33.43277067387063258784553354152", "-32.87615867107025490423794080732", "-32.07578310811940291605422606814", "-31.46338156354190942650820741634", "-30.692153671089313099504705954276", "-30.208888898516756601519322461994", "-29.24522694982637049234609158572", "-28.86810898195725325583761867406", "-27.549818044691002392341406208970", "-26.463354583265413219774286334619", "-26.04300291177672315838492115569", "-25.39724702179100974468937671035", "-24.71455538112587897519204186169", "-23.84689763682148351499306762951", "-23.25849173907872321326794661929", "-22.90206548704744020090759604093", "-21.6688096257902937693858153452", "-21.098832765763547805385584257240", "-20.01002289724944531866609492252", "-19.33568790914555887914092525585", "-18.54129532207216871802735642693", "-17.659283841287121336480700014099", "-16.85035619684475550643079246219", "-16.27274826131425106870942947273", "-15.30127552037539129141293165719", "-14.294572641829494161996504507982", "-13.956404589319585860917907550710", "-12.940425980866264872020287292519", "-12.60002556983836210591070249304", "-11.68361107949399356738088443591", "-10.581014198656381768136659367633", "-9.16732946054220176657605869887", "-8.70769657070848433324067583134", "-7.5197357660745125607481241678", "-7.03447965159904834994277708807", "-6.27780470402828592964505730512", "-5.51544085621727877948852824058", "-4.147566608719727680395445170928", "-3.42462432613631191429126303599", "-2.51270094789803504526533590317", "-1.12129991381499162938468280314"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}