# Zeros of 1-231-231.212-r1-0-0 downloaded from the LMFDB on 06 September 2026.
{"order_of_vanishing": 0, "positive_zeros": ["1.166734498082141722232704805074", "2.974019076226215886667708195399", "3.52779894933167792289586921129", "4.96474588966268147251069482299", "6.03283935844736006387893397967", "7.19559958019060815963308024011", "8.061771116696954141553605422973", "9.959571318822957067669702203", "10.78124342632136663294235158620", "11.768348640147863335207248247328", "12.56550806272162257503468261763", "13.78878821068048779640234345230", "14.59474609719170759997687241504", "15.514886025243834868546029593606", "16.20373614430827106889854024975", "17.70780835713501617236155796948", "18.88731306571483260601128396503", "19.65292724596985003691647492199", "20.615142053461554536690445163625", "21.55821313644942679964743031097", "22.61727340554039769747146900106", "23.08781276241653614197767258726", "23.978095153851024315214228808641", "25.1116026557544732158850322284", "25.8508999327552942891141661438", "27.158857142708494745192573621211", "27.9018323173342640984040475653", "29.154477089178806839115384238412", "29.89026551936686410369102830868", "30.75017657811655685428702631621", "31.30378879469705362401255552440", "32.39143375270777094849491403695", "33.08546554624524714450092841452", "34.21345473554912376036192408434", "34.700750937499558497074486068631", "35.734096476841647200540729185235", "37.2378742011636398651087824059", "37.7810643146370190665363039823", "38.70596861354208705323414416156", "39.44648128336784617892136822767", "40.08846907457168101610092553704", "41.40823144850142243221331653634", "41.692148820335416476060492222914", "42.8432038888341085486351225711", "43.19231998676099594652874188967", "44.4171642284365322110579442773", "45.68380848295016758816840936574", "46.300092193515155807785702599749", "47.36751717770798561375868001900", "47.75190411248997178467764031316", "48.97897655078410311539010105858", "49.73594159740127666627825623213", "50.21625045558862501804262125652", "51.05944606132814771647871297388", "51.962931802976575841536847308823", "52.67787159287007560064310417166", "53.790209911031793904650769581774", "54.65798042690914893276079698596", "55.42069818880001219765964862668", "56.60132720731690419808970658875", "57.15745356514646743660550329739", "57.85458818762829992443476698551", "58.854186811864149214777752512687", "59.15059673701794207383514741259", "60.26726840539036938483287164969", "61.17568038631489684988405250871", "61.65482120262543444513661499683", "62.56957929320086901977741234969", "63.60442037000526785409911231070", "64.82036190207382288849622181748", "65.30066477852878414799278489967", "66.063353978803990245450657024511", "66.87644891133683019801218436206", "67.467990171820350702242318992892", "68.44152554556819365451303564605", "69.40153425410104489662588846351", "69.632558696102938690752797694219", "70.52808104076212811429189066252", "71.46147975030906126042987770828", "72.48223870229488119380727824247", "73.627070714437267505732281978830", "74.041680613459131902678000704598", "74.72565624543772923860118715095", "75.78218102398545246394292248294", "76.46782697845216895340415458076", "77.1572857554874812217069511209", "77.872076331426894271943268506822", "78.50476703614106488330395860942", "79.36013788830174472871121628769", "80.13650269758757693921021354079", "81.280665416974002801994489380921", "81.80453945691428980586281760647", "82.88989100637512747731637801189", "83.591658540029273897611311602160", "84.46069177278959669195386273546", "85.10419079544373738525761239010", "85.74249346000019590402705775731", "86.47649985860004571252080581822", "87.178748328625784150643300724600", "88.11825711606324456961574469325", "88.88579928951359661204089244586", "89.33747234175062057471732196002", "90.43741324501810402101687687584", "91.478888792970691763570633539775", "92.27111548463827289487827816359", "92.93462452189114707536873120342", "93.68218124612895522679170683454", "94.18100130407966732388723039624", "95.07187620080307070015696940687", "95.96545663131614656075209033409", "96.58498974115840171877038780631", "97.14694366883224019658696184464", "97.96110752843860761067120679609", "98.725639565115109696268589146347", "99.90029322946566629663230326410", "100.76102026998343628914644922503", "101.48947565446742382766229718831", "101.76988672800891060442924612169", "102.99963005084397461408676028116", "103.63115386205794338298499628863", "104.17934351663606039173218940527", "105.08100792213327292904446898228", "105.77722546185369127619356500559", "106.03920406754651096502596966921", "107.48953086560307541367842138210", "107.8084644352630422642403460010", "109.15595172492905630456988187698", "109.5046860270938531858505820198", "110.58611528225863068327930939205", "111.233753890301707317414529802274", "112.086271372960818526335214113043", "112.60608043841675160839866048422", "113.30691385995057999331428633704", "114.001592354292981702542087998958", "114.68931637015284531140030590170", "115.74170257138064376527410403120", "116.16959387369078437226667049428", "116.87452294950728534909225867368", "118.00059960306660225972021176591", "118.82168175831206874142452707666", "119.60712514602551050257972720135", "120.40485848510432402492353770046", "120.923313227624499743436244077258", "121.40538536894509982616853295590", "122.49096564685912779830865184440", "123.11879106059456215091385500449", "123.78951430035704327523979822693", "124.42055458069778859316239149857", "125.31639112902076223872660821494", "125.665441265121267088597895890835", "127.14998071810112912739472988463", "127.90854773739777103140958999249", "128.29060907908026211899284427411", "129.40500878854041989674687370344", "129.60820646906667810172262076056", "130.77046766832845491724382514884", "131.32745806010655060923603065817", "132.02226455948790891146422862813", "132.6321711538822260544143258944", "133.356862551564646969410889435531", "133.95222135485463428356614794065", "135.0667912043898875918871424613", "135.754152904525281728000417088526", "136.5743684296992336472879235496", "137.39341302142539902157832891760", "138.02240752958767079910078502825", "138.88012068049716599391162082157", "139.56443062156883215962475751113", "140.16283717657772186690212353238", "140.76199212540576794676841892157", "141.41058942912969629303485313578", "142.38439567627832312338571860680", "142.981949321858024977227986431125", "143.65067599553339340712779303907", "144.43549719925600897171082564148", "145.42054612137908344458472733524", "146.15340479908931820032210547538", "147.11352019120959608728844805831", "147.70373029640128011249269242166", "148.04410149740906439376445157542", "148.9705702550743109058266724571", "149.628634953353133328422923745029", "150.445520765851660548477379954414", "151.00970041831225406944427116632", "151.81694454824716417397144331844", "152.35317214491555734308492658199", "152.99559195724581205899664173993", "154.31015018058928020081810488829", "155.04924835632975671620899539856", "155.55440565935455078177581939498", "156.46282014798895622238891380899", "156.801461788435349897701874300914", "157.88909592207189349482617414115", "158.32077966617323430546223480849", "159.31602146586052121080244853238", "159.65565125444004085196313773845", "160.302398169901652326188352651921", "161.15538423917033244772706316522", "161.83115108298653333119134449581", "162.93547905957275560948146632863", "163.47648650177363441816657105107", "164.33079953662784030863112574177", "165.08998176353953664750664013092", "165.64612422773078773259590906056", "166.59359918140986753327399521642", "167.14166752711232398525871436441", "167.86171070906695437922013158367", "168.061650020725841016214539996322", "169.42833986514073934145133006130", "169.68383394027551928519707688146", "170.48576428425923110997064353170", "171.43776359236496895911972711908", "171.93507439493602107491407233369", "172.957487322785666984445627311733", "173.835886162447560052892474725555", "174.57972967184098482272608199686", "174.867046706185430283088299202505", "175.81259601021473267272420385484", "176.31356032001187092670821844870", "177.01473185056655683128535633049", "177.90998624192741025291069262487", "178.49620272112773238255811905555", "179.05868113538699717413533537154", "179.80125734659796429921311996760", "180.43718250323650767698284313481", "181.715699713273053703346086304167", "182.395389258321080828947315491734", "182.8729840935524911357999422279", "183.72802461696221715999974240685", "184.195313632072550979244646247994", "185.03834642166151532983726585006", "185.74892354768466511738884580807", "186.42163954367470489861440239467", "187.060020199297844232800055581209", "187.569093622879224923253360388588", "188.20119731976045706104792103279", "189.40397464824654289314987322631", "189.71237165592563688773347390103", "191.02791675983570552361862882407", "191.446657722139648857258985749677", "192.0236425847953866942153884981", "192.988928070897201563008645192651", "193.72977779040201540621366595532", "194.179338174231833758524175135834", "194.92767681310753800668827744847", "195.42702261418425848994656066959", "196.2224442601928493039087806722", "196.9098575940636518013237326188", "197.662303475556699450780881434456", "198.32468363989978118133678205294", "199.139350061604489171758968400390", "199.847193819416384688422952381406"], "negative_zeros": ["-198.93481137673647821536653621153", "-198.52969677747135206754188353524", "-197.45562672593241413034086661935", "-197.013221300032488901855343732784", "-196.1110777883737359983577074920", "-195.68670214363006001347723058464", "-194.89281494161169242373048576446", "-194.55492283601456703969153451305", "-193.466273318920374427056480875460", "-192.80176519562228963705402920884", "-192.403499141638674310038267335021", "-191.4252730580477474990278632820", "-190.91173407747526084962662731560", "-189.76703110177852443369860883743", "-188.97563204373580717237882963033", "-188.42017631664043720278407744588", "-187.64650596074680358158173884565", "-187.20148023065245484130977983236", "-186.55854663883298632271702376261", "-185.508536242559987421614501044228", "-185.0780402017111621143567830787", "-184.429783975326893287508682953501", "-183.62804173285579483786656290586", "-183.11932349400179179277493433414", "-182.44861764284691757256378787773", "-181.159989709639102349640835475528", "-180.49444750285089565035148815759", "-179.89969413699391930876590246643", "-179.31813887352152365563011102709", "-178.243755196717967580870749267083", "-178.05456779009918103532109537434", "-176.97262728524744841577995907259", "-176.38097148705661091575410409580", "-175.857129259793987689811387540875", "-175.29364718476207178880594535841", "-174.399747649484993375008146592240", "-173.676151799476362982921190318004", "-172.8673692524248082214820054394", "-172.07656206191778803527977625278", "-171.17809784017490091086652054672", "-170.74166236557863123640832692486", "-169.66598630645446201020651186267", "-169.111720537493610890926511310334", "-168.58184788513608796429914339922", "-167.70880682978950355769336102191", "-167.37798389135167348370051791513", "-166.48917354302290492070878101337", "-165.584987324508078687195291065445", "-165.082392835647684893426646103523", "-164.52504865025902257403851587471", "-163.3576614615763706926088126303", "-162.890747287060456453548623452137", "-161.51175940746707829336048746109", "-161.252182470501337602727444336222", "-160.486375716115775162352378214572", "-160.008017477665499233497871714082", "-159.01236024410329570312546681064", "-158.55353613012120859345930401741", "-157.71041035224881397299034735999", "-156.98487610668032945565842495233", "-156.346359882454148049735486210699", "-155.95528729913463286380150268393", "-154.9044915628171863563276226774", "-153.80373841784009754199837097925", "-153.16748908811442224410492436604", "-152.4845798485958369192607352540", "-151.78902531561086174636359596796", "-151.20661627519223005335181457699", "-150.25170827351473780609935460911", "-149.69951420365845387446179327979", "-148.9368919796067405678754927846", "-148.38234619470265761019219533451", "-147.85308468194060595952917909935", "-146.82781702269187721161410112130", "-146.21310438344222087235335682605", "-145.20184151690147862729211476204", "-144.51771426065982250339414234062", "-143.67866463063495010453195498382", "-143.07177330709676255297813719274", "-142.17806681388980745100475623675", "-141.36270426667538754156842334349", "-141.10685331820475693015872601117", "-140.29626374184415274551454483543", "-139.55158196723940087427384016336", "-138.77631629721406517690626705701", "-138.11543160581451582406883100811", "-137.33425047775922868732893201687", "-136.64735417286522047085176941838", "-135.78271863516463387969379071196", "-134.65190279454564224412867767375", "-134.113949055812561435670372668161", "-133.40794154103308118802841750563", "-132.80352391911808879814206895578", "-132.14685294997817786921245637119", "-131.243438105030245188653327091612", "-130.77407032659952312226118687892", "-129.69696984366491259297568935634", "-129.261527243016371999835711624772", "-128.79988563344405223406552277153", "-127.72026926783637740963275333061", "-126.638880066029925097490184421968", "-125.98437758132703390894570599158", "-125.00976496965901824753075447823", "-124.789710420452776206639179615181", "-123.862197791224817568928169099070", "-123.03155104920823349209099641567", "-122.30153872212856345398155483757", "-121.77462398737444187282853971610", "-120.9267993364172026750077883685", "-120.55797380891434411092998037174", "-119.510268426825688190064444026384", "-118.71332026156907600661729403329", "-117.86367315731770504034379683450", "-116.84530698780034430403935251779", "-116.48185231487942255748433430658", "-115.53936858137209633444329062892", "-114.50042409550944227145101039115", "-114.21056358409012954459311822948", "-113.56505798191785732132343211754", "-112.57507521141862010521218373022", "-112.180622583168995556749379713225", "-111.17689156267592052926901790141", "-110.52026690370001218174506630077", "-109.65145587859236680166325718903", "-109.089815649011753495890673176062", "-107.76668954653807794358111178383", "-107.148843306438320952921167179613", "-106.450189351589513907864964485396", "-105.73630765084040504390530729863", "-104.95342522288745511503137549489", "-104.63097990575251426301268780202", "-103.31293245783637791000914674908", "-102.96185188249386420828933445247", "-102.16525067393634698590910892402", "-101.397771209680498374693490618123", "-100.87223461405176119827861528623", "-99.36992549963214038705562051986", "-98.88513094245321310326840803039", "-97.8663141464522807606667515814", "-97.46372701508919099874214019928", "-96.65354103456405266212189320509", "-95.84906180178277330320829362741", "-94.95464637303411959761469212972", "-94.33687287578538460875761069434", "-93.98665864106280757952908569244", "-92.77489923795760758687103664577", "-92.43306699463457758976856186228", "-91.20644880816451707434429871826", "-90.243625452410959746648447192130", "-89.698508474098081109423737953", "-88.83003219200566515377331976321", "-87.96600565541980723869699864943", "-87.1842992022364423316201659150", "-86.64738075395656181264830275781", "-85.89866343941209943774085196690", "-85.131388809467178632939642422601", "-84.53306459984844303587072948979", "-83.43858044961358359006412938622", "-82.8486208299967069460493945909", "-82.099641976283611645405324216840", "-80.9018151751934669793946118237", "-80.19157552707819480176176427208", "-79.169369584244596559657349190665", "-78.8324316231699507693242495783", "-77.837115308747207348506605994568", "-77.41421659315315084775714318800", "-76.4262275345914017187703199442", "-75.46206792762141483912155746074", "-75.113052240406880259968755020648", "-74.20319995109282249766611595408", "-73.499896379212475342103906275405", "-72.17876110909970449016418876471", "-71.38491652360841393496157553999", "-70.62514718819789606507543807229", "-70.00534567501334509511607223231", "-69.31254658617519552513462485281", "-68.215316603363766079044761413537", "-67.665173225571634183343346408235", "-66.89564028552565103577676624731", "-66.291119059448253721520181438240", "-65.36583124467439488499693646027", "-64.66325052135402085506986286805", "-63.17985219410471829415641701265", "-62.83210113713861240847060419094", "-61.91556378044054731072216966456", "-60.81629401851235994245375933377", "-60.389645108273348666162864557027", "-59.38450394559216731456605774213", "-58.6224160720054448449942152457", "-58.28790385292163502819403556096", "-57.15252383965811232871634327864", "-56.321521070983681030352106168912", "-55.6032054741545831266379256531", "-54.6256649620895837427851042435", "-53.66563895083005558802859129002", "-52.582397913020208642490621273191", "-52.01473906152251651699811930730", "-51.09844992894801321053814050032", "-50.545641257173884710886696422584", "-49.76253517613658660679541855461", "-48.73278709748623394767759114411", "-47.94440697548382871304970019585", "-47.41613816038702494736210303317", "-46.47472859212675711939851817681", "-45.36691274591948273761922926816", "-44.15614859849252296008383897998", "-43.45671867824991102867988525187", "-42.92833832649533025667786928127", "-41.98952712368779421511736083820", "-40.89121941040147358753062614162", "-40.49770977263374198724875204382", "-39.3023148505727857948529249702", "-38.94155534932560447659398773521", "-38.00061263946521687890203706729", "-36.71226652082756420254095498746", "-35.767364074526222521187064177899", "-34.91204187061724481712500811523", "-34.13477659797217993475061469204", "-33.058219018704056457842022369921", "-32.39683318621193384907178764420", "-31.48353419338374681492002257937", "-30.90813808569759881071539279587", "-29.968583706616245276021891715393", "-28.81152236091461471930264239727", "-28.21309637910031541624754885063", "-26.88363871710500301985913791724", "-25.99555830483371699216104117447", "-24.78800290000159055777786379841", "-24.26830502184751956442514919663", "-23.27397987099181738303548337394", "-22.69085129220305916151174199400", "-21.33384856755694162733212027086", "-20.79500821204815209756806958708", "-19.78609581406016044955267057019", "-18.86480519732010358550101979294", "-17.28569852048269769407142237452", "-16.31173868922070394131815565752", "-15.80305524858418499723904135510", "-14.59347910564590136614519763848", "-13.72645456132417342583261046597", "-12.6461346322194568522381711692", "-11.87784106660090578877644816257", "-11.0530674206141362492138819160", "-9.45388538829479668965834982204", "-8.18070697449186946461723239761", "-7.2708610330928621663994425026", "-6.0402354732753053137621683261", "-4.85247210826716241629956544451", "-4.06012403761010185628562585795", "-2.787336490793667173046779658823", "-1.10151633806257932999920910867"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}