# Zeros of 1-4024-4024.1267-r0-0-0 downloaded from the LMFDB on 05 June 2024.
{"order_of_vanishing": 0, "positive_zeros": ["1.1102467902723555886958936709", "1.78123811964524323016740802107", "3.00601846795683367526203900195", "3.66950755899453403234085937504", "3.97628257863316371294297039838", "5.24622664379658668877364172165", "6.346984899007719067706725385656", "6.68286258803826621425854805626", "7.50517127490679731493680942016", "8.30501139926985740613843709194", "8.857673350869942548886526364222", "9.39261600793060575694810268208", "10.26781642849056266164687219750", "11.40280721280407067282920830414", "11.97514556980061780733514914381", "12.405627433027123760039502766", "13.349363884231584290260397105", "13.676627656515058576060003576404", "14.62708356880135473441595909434", "15.17332946133283444040738665326", "15.987143540616163181393228749476", "16.63422972947157428686344661333", "17.07792685926850447867079634731", "18.38223651240859693157159897795", "18.78142969285569154023323976035", "19.32544881960271495350536051736", "19.924300910815062300310193988781", "20.30160225626186354275129574622", "21.32812495315536434731307586126", "21.84303522367224788607064732147", "22.92544018444928166120437746236", "23.374539112456700344541951543733", "23.90243537303094297568726433069", "24.55061393599437219644877105301", "25.324895152626502041537600842250", "25.84619515939856361401003321684", "26.27242754996806044106841995963", "27.330592195139956182772583653678", "27.6473099746582449970103522015", "28.49671743732727184259399435348", "29.22974389920600906239500456812", "29.848163537404769625183376472664", "30.28421797503281657845987788249", "31.20605863328014072475087760532", "31.55458378199806215165601332309", "32.23742339544701066336566691541", "32.53317594134586290150977349266", "33.46359817012188295507820785361", "34.48483848214574160879718304863", "34.97841675895368528947618118597", "35.4965205354169061657605767013", "36.03762934877771680784279504058", "36.40027981596449923760984407868", "37.24039248232129052769669477988", "38.09206062481689449958616500241", "38.553214618065606229724470769299", "38.824473996429726087209767754353", "39.97732277061411045361051834615", "40.4711346646606989235749129063", "40.95253842091273734714076523866", "41.831798122060101366011659583626", "42.29788276691535002891616613907", "42.89098880778155114803215834690", "43.31734820822461187264271925576", "43.79193999936315852412052237981", "44.72319736289074047377879021068", "45.470187187257502581745176658252", "45.999073269446849169248755495195", "46.51642618811938407369420454067", "47.44990131325715584071573736826", "47.834315610303043303168118795601", "48.09254960404191462269632004522", "48.81673815441380549255484080477", "49.483437096491828787205145936384", "50.22891589126353389786141396943", "50.86561175015407781554893077475", "51.50046374221138533094742700324", "51.95695628012163058951164000471", "52.506999480988118376633727073649", "53.58140075897102326363820741315", "53.68716194339043806351565272994", "54.29699206989819375541879078839", "55.115343472411177129539281251943", "55.53076728358276067034491071057", "55.728391320906202172675129544515", "56.99944463279331020369157115886", "57.614678293143873683545924010280", "58.25595592636689130573852408803", "58.58537818389143480227575556187", "59.03889297965376318591666979617", "59.69429882597088929162558726999", "60.34384902367588673074217528129", "61.01646066064228788611056559401", "61.36991039347462341402969480187", "62.30173453498303654898437193007", "62.67924628235474590615984264841", "63.58660719737534612278314745688", "63.99766869841652738240472832062", "64.418916324342519588485346462238", "65.18718504459545358731966262766", "65.91433349940227697691848132354", "65.963217879469109773035350825061", "67.05331153553868343969585626065", "67.2253460093789551500979824849", "68.00450361303383261411838208062", "68.66631958128372053318590021500", "69.60780585656869435948791632930", "69.896997084606211324116527449", "70.49899563665908911585018160797", "70.84375983522598768172633750519", "71.57246557310778849287712883727", "72.073501029107872244622235719038", "72.43115851690713469156331701523", "73.58588278197126999681871570966", "74.06877290329791535687501943601", "74.58452830004603735805866062321", "75.07931024404102983100092305584", "75.49597173398261859236822806966", "76.48478343648340139647572249424", "76.87431396989162179383101483102", "77.50272187155196109983154304321", "77.79080558887590873909226290954", "78.399234336544093876091395239561", "79.10123440345831899545343528965", "79.87420922991277843464406849765", "80.35778414151405178095920236492", "81.096563665790641918424127286708", "81.574758865883702732669548892425", "82.005474709897293975678332971159", "82.71112651147498608447605765108", "83.10183233077097290410127888406", "83.50981464166534313427991450140", "84.384044069725175869355685700144", "84.98327315486427346051998343854", "85.53588420450590180434373699802", "86.22842756182038108569999043658", "86.89885455156329055889369782844", "87.25343501534949804072762603838", "87.731993956139435616138350472034", "88.11799502728383128975990217211", "89.22287398480533598115185535871", "89.56048955947236466604594020849", "90.1030774179696078376260197926", "90.3444037945500978425657068924", "91.275051102893599337476538382614", "92.10025472805620482775691922278", "92.39320185385567876681993644414", "93.18208699126211672316158848854", "93.69197605438226472606985800768", "93.97258227721551694850408862891", "94.5086930478999601066016257077", "95.09414576765179802891777022629", "95.73429136815520848332566559973", "96.535348844555092150787224763038", "97.03078842757655302854912665538", "97.82709042939070120318627073456", "97.9869805524107618302195874040", "98.68368353714269787907319370773", "99.18448774723724741904335306973", "99.94364867275245340720932567318", "100.34517159998911256467190622984", "100.80061287866282232974734486358", "101.37367101517008688000740419913", "102.1485718843188303655456926108", "102.69425339297851028465423265026", "103.239295840758407998327104009558", "103.87174372301214989811178378723", "104.413995696462685074806865937120", "104.94372916348080563582170337802", "105.59636774851527912655285776704", "105.99705910022216845516815509737", "106.47711866142155723791709798237", "106.86313769257311185826040444211", "107.66538403710573370579790162594", "108.503641769551126134486119511702", "109.146076551564941770337875786438", "109.54401829006551096582392177889", "109.900770498485388653029599889834", "110.39237643221770246149951835667", "111.313920671474442618267817887511", "111.41395597699250159322339177604", "112.3436203020001215547868013627", "112.64312730784590188321737692122", "113.552390565520047421342673988749", "113.74650871159191530602154490859", "114.41083052154977805720279140940", "115.17453453294185324838580692596", "115.760898102820169744301734023037", "116.454811715140314295784449001500", "116.63968681850277433587525624539", "117.02223176170928128813810468065", "117.81265719878795190460498309211", "118.27887643975801723681270604299", "118.94660227599460778145129440806", "119.498729375291420290810998158466", "120.122159434958398136364576492868", "120.87197119568423242065724727022", "121.46469123105927768679132211664", "121.58034873694622054864234549751", "122.34046913414691007517332087640", "122.65757108272140974080338753581", "123.394811091375553200963955033540", "124.047462685941039607718481011475", "124.36120330586402598581783048089", "125.14541832747821367048434453182", "125.88928577435502377711779645942", "126.12094613280308798169435797345", "126.79649498484952507540630244", "127.25190336376893979712593168718", "128.08398164222000799631023966281", "128.57495575854596863304156494159", "128.81995872481248268576359592903", "129.55055676796989033429555570272", "129.85849187652128628379010081502", "130.30615216477364880394822761661", "131.67336586070236425727288498821", "132.04138094012437485377631646761", "132.17438327966932542673330208079", "132.806909817640356107794219547417", "133.56975176011579573730462081868", "133.95000033138191816602152420001", "134.257913010314228595490685381741", "135.09522099318971101325732218746", "135.688171275162735083188951542909", "136.03036133981544830362631789637", "136.86863849188910499516761489630", "137.21524392595275061596824762366", "138.06378945851310256501190070718", "138.356946597352222630092693959650", "139.08551949506274324161818884892", "139.34868915865536420916483991657", "140.11796143947901094099043577780", "140.629068346523709539458950099618", "140.96854772958212515917687995690", "141.56642937196389024998632173156", "142.194668409396344803045170056336", "142.88166837465393597835249681338", "143.47217804556072356307618330417", "143.96551262958418441727763421652", "144.72397896230238846132512981305", "145.02807949791470207989842934384", "145.44489224306345002915800497017", "145.783089869323631149648985359146", "146.51897028887479039567143425731", "147.23406499980653966478927776975", "147.84946517135295160522691422149", "148.37791025655810772131475895194", "148.83475460820769036564717233314", "149.41188965481467467182297599579", "149.87108655013576492651620117547", "150.65808778433081509012831602259", "150.988702672169291866294698311489", "151.66484800656037082903585416836", "152.139788177481390521184165614012", "152.37023835637878224601109005765", "153.1135576484953148085155960976", "153.88077345906061374384356105398", "154.141176967565696281140128817782", "155.25954381432762971561878601900", "155.51922474372849958413980950064", "156.03739235830375099170833930465", "156.24299986741254143464980683491", "156.96428090537757664580727746018", "157.78072838939869133633044896139", "157.956188979374597279334619343060", "158.48531508842640453152350887106", "159.059673668058875126853368307401", "160.14910916778370091591698984632", "160.38525647161310832675769595504", "160.87124608785849302138102743720", "161.42778478566146453465250279779", "161.80221401468634545332706847084", "162.4525813819049605979087497607", "163.19748759485246460092712592007", "163.5588272406768312607161234506", "163.98164320355057198020397797536", "164.51313929024632259658088851939", "165.2658440757824443882739350985", "165.61377282064814755128798969344", "166.471671670419304750900439589", "167.00727733743200110035658356261", "167.462667890359881301610492907197", "168.026894080346796603570552220336", "168.424463649528001711611427315110", "168.80044024906322409357309199646", "169.21415563418489683995334906181", "170.22692580477035295108666315852", "170.562616648974039129746188542497", "171.485655395431218914820101016", "171.58956472202256058472823378407", "172.352319835838454572994140211909", "172.71454525672641303464317992810", "173.45396873511839798041724169669", "173.884043744510684388223709976824", "174.34616656319881105107860046915", "174.91974760828387042100309995938", "175.38747368956569496158368663840", "176.01225923665643290188744615033", "176.49001432568016377031034120726", "177.237216205393785598869376208218", "177.6669697071930197484031304036", "178.29590002963593975394274040884", "178.82377350564551615817655780873", "179.316570091012466596125245877686", "179.87076333422910767202742364629", "180.31010126088014149173293909496", "180.74608022561991738609186292282", "181.16368757233571595283949544051", "181.90521824045401537824077527276", "182.69645160112916276348037194730", "183.146375145422954506435322294500", "183.80940235349378530934329498431", "184.1844425559397340487513590238", "184.501946926700692347209400473521", "185.15848930785521844349522163874", "185.61739330988690040674154007015", "186.30693648898561032073659025531", "186.87665368605287426997024347498", "187.41541156468236909090960598331", "187.71932304197320037843859882605", "188.16860399999031298850383439866", "189.20531521363188569878631151125", "189.7213766202974341310180100108", "190.035821010981872428233543687502", "190.62890297809005609256000947622", "191.01882611350881717608132919888", "191.65606299063659738838484331675", "192.15766749077135006443020645863", "192.50435240217174159970743171419", "193.01725678945773112260143402970", "194.04465082573970939547393909823", "194.385011301613416315006466450081", "194.86423067913692692928708277195", "195.593915696398093295610343927985", "195.96822909015518769247951624618", "196.32244965263647805126175737302", "197.004493500854897218793779800286", "197.527040032809263543506383429217", "197.919298010527708382544344237903", "198.50490309456968395084272741536", "199.11852538314970700477983382772", "199.93613038947583833517571707637"], "negative_zeros": ["-199.99671802765278847065895314369", "-199.11164490475686243087266540368", "-198.80022771852715952855899120937", "-198.30591582422916078086030925216", "-197.98440570581219070158832489746", "-197.09866804739883923137109524096", "-196.83112764589373220096814234406", "-196.339187887068101051664696593826", "-195.664531458676884282091409998217", "-195.010607603824656170616007793176", "-194.402746919696516988877443638002", "-193.98555076332226238808588350893", "-193.61354435585146678207317036961", "-192.87370387340035623239607704486", "-192.21928979342475483808351298491", "-192.02160826321752914084706862714", "-191.34337934769054690947152865330", "-190.79743492805858910793161047915", "-190.44401075720470541129366233641", "-189.80678332734064887653607591669", "-189.46225758166356431456680381667", "-188.29512808182890705081712885754", "-187.8901965208530624945618615672", "-187.44801425691809756922811861862", "-187.15728615776986983180390123495", "-186.55856463079003028937332145446", "-186.26511549131485623785453132526", "-185.35861712684088904975673730349", "-184.8382392250147803281471565946", "-184.57228547545933786274362876296", "-183.78804093642858030718089767170", "-183.1670400402911074744852885404", "-182.72936641751412116997086083993", "-182.18550997414398223139846522324", "-181.66569990883041695122541703868", "-180.98202259493630039733249614106", "-180.66641768428171960281055936499", "-179.97289995561473308211719377026", "-179.63642330727278065880316059238", "-179.0812437821066281425881264551", "-178.68247632937099254904287282116", "-177.70955832601922879453243903444", "-177.35229743233134758423811621876", "-176.64357470158282299989166437309", "-176.32081299068805648934176746464", "-175.66190585298963097437842660840", "-174.90352219914570498687385522018", "-174.75370767123416534297117279340", "-174.34865379143610342998704409788", "-173.891449005304148916795162215910", "-173.04774465363445986964626859240", "-172.20330243907744923033057128576", "-172.02779989199507332381770289799", "-171.287422780629141847190531685823", "-170.85597377881425680962495196732", "-170.3296302828308644979753277422", "-169.87325524530185161560380132201", "-169.170344381414941024337071403158", "-168.5796324979462151997398897863", "-168.27975715621504149025715388346", "-167.59643409458101959878504670184", "-167.31098566490736752795681211914", "-166.642706363568199614931585042308", "-165.99199467344618955767494012890", "-165.1070963823333285055052405894", "-164.7339867009521782210454618978", "-164.36070875477847281072823258002", "-163.913166686191937018124461404783", "-163.330733804723724001308718635146", "-162.73949205390546414831112077416", "-162.376622586618356018214748953384", "-161.72936952108967935163708591058", "-161.027877454382086151973317081345", "-160.501384936658539899969331048138", "-160.019895324833364329913271701307", "-159.24459520220084953457244741200", "-158.83125478158679573614448825162", "-158.43707223161586451318287934296", "-157.979627246589463729472384753068", "-157.185110620230790532860041378613", "-156.87656822820635883836615420563", "-156.15790463301607538785738823837", "-155.601673571335793469829924020708", "-155.347447435801474804189324921655", "-154.49280145084674714506543296298", "-153.97315958863845209540503234128", "-153.24356309615293414717652739804", "-152.86413002303441182248893405053", "-152.27929083240606045783652442226", "-151.79349490157085817734685580930", "-151.43698903037555261167551874151", "-150.96064007437243467414395815609", "-150.332911637757277095779605312994", "-149.592565410053859755518421939854", "-148.95173294256175818763486304968", "-148.10564567157828310495449781942", "-147.9316205252401333009721918845", "-147.83751983723569117482272087320", "-146.80476716952606464277791904262", "-146.40155293596661309500761682472", "-145.6009724832540561158921931866", "-145.27883870554573532887613946980", "-144.88274485728616651128055750384", "-144.40135836508670193511469888939", "-143.352818584721665131129692036566", "-143.03474147692158397326276343330", "-142.47825124840722589937255399373", "-141.95630191248925624010201138747", "-141.2066466819022059812193038331", "-140.55105957383316620447008351110", "-140.51206049252430276116170433857", "-140.05571017000659765101106136968", "-139.01723863853439723304256982911", "-138.874092010631536688805866302679", "-138.242605201374175205451158896912", "-137.38239806052958003320452362650", "-136.75566804288905432936270225818", "-136.31596958337038177239849720768", "-135.90076669579190774733024618170", "-135.22503379253171190455540892730", "-135.033704089242189367315549973602", "-134.36793228712412760698314695272", "-133.55442671715148903390006562986", "-133.14982570745138770288745892139", "-132.40191207295339483516171135006", "-132.24508502309478839185597591007", "-131.54534559780504843080121578703", "-130.69966721241438109642084253285", "-130.209278384695529970135059720928", "-129.7458863734452358430879463753", "-129.07605186890394765104205890164", "-128.91504708254345384073353502331", "-128.038006121953725727099595484123", "-127.8837437290158909242532664416", "-127.219029592366133174001801252339", "-126.29637179824071131805340741315", "-125.68962219265685140240250700981", "-125.18756080274615568603341456095", "-124.96929088284584752203793874669", "-124.01765117630596844553444243913", "-123.72505468160969820830100854976", "-123.31129393856308181341459762274", "-122.553730981111470898666172762799", "-121.93638424992601568623566740209", "-121.761686482234989356134281218179", "-120.68879423347207568970055133353", "-120.36440155471629615550128270847", "-119.705923659422390331141950652714", "-119.11724583227665851929045443969", "-118.63489706949554020755922590076", "-118.22161069650978255182753765991", "-117.33799926020676524190404982573", "-116.85307346147900122175121224606", "-116.595059364036106521061884786683", "-116.149502687751177868506818858744", "-115.502317436824229543068440310640", "-114.501498361787694471312479623509", "-114.02725288201780603386926248817", "-113.294879809437348678106551208670", "-113.16147882139677130190349570710", "-112.56415850639594132629180227309", "-111.91883821085876830815389678206", "-111.58957142711505769992989074435", "-110.78407413337837072298286753562", "-110.32322579797591763203465490609", "-109.62110882263740873215126361650", "-109.07384244419363123648240695607", "-108.44706538112425605044825600244", "-108.193981066755415952653193968300", "-107.19786514279330845215912615982", "-106.714334621178539303672479202969", "-106.28339964449503222843867224589", "-105.88204617634425548953190425311", "-105.29078430442203263766718526791", "-104.66476731826105521023319657202", "-104.10699756959276506382532699176", "-103.44002373548733727633913407684", "-102.92120852673884868594437427391", "-102.125429461873218440860633475048", "-101.66237774204584626827480436548", "-101.05745543277181610014901738061", "-100.6482217596278584236465901499", "-100.35103100137003598775814994526", "-99.63576010030351455710973901884", "-98.908917647070924049441375814517", "-98.41858046238894451569687763450", "-97.799598645031096063248219351206", "-96.94319710720404672565777879177", "-96.621240411525046139825370213581", "-96.09282328484501519475239790088", "-95.768795308406835394732798128793", "-94.742703290854690132345910311193", "-94.16821004121283629046221485436", "-93.94657899254173066156466384569", "-93.42235665991705175261308417889", "-92.85128541644263158143452336219", "-92.20125514687248953753644479920", "-91.19741633707666883152861857457", "-90.90166766493087376216319857809", "-90.14456834265354358915314438924", "-89.74721244319786090982359740596", "-89.48933063692167054551507081708", "-88.66306818847467110143202426206", "-88.08652177237202214588637155094", "-87.726138918544002230200820433473", "-86.888824062247897820349754858210", "-86.376352690980909438776396503171", "-85.600136069324700604433570919992", "-85.10525280397905168328058011489", "-84.63006614142168171782996121589", "-84.11395063055945496430460678292", "-83.31469966864722605975982677255", "-83.0684543344570188395423760271", "-82.34613277008081109921093367477", "-81.744608823364702809550111132212", "-81.3106075088171962896687202159", "-80.51603809650024978056632391317", "-80.134197293794922758610381197452", "-79.17596804758771320178258762262", "-78.708394625192866887557292241306", "-78.205042875744181838607442101523", "-77.706927199671077610630555845948", "-77.039194825245372734622497179338", "-76.77112406900740906969162367455", "-76.36425964979367819283372930158", "-74.96369683142384646767410290433", "-74.6152627443092414602702505209", "-74.320729582969199172386163167606", "-73.55956439968573068785351516443", "-72.99398858362695118321450819276", "-72.4547490922478156306993821945", "-71.64872826735897673098222330820", "-71.55361800684925783177621266721", "-70.60842499442638033397969390952", "-70.111827407952542472428053669523", "-69.760407129092888973976942072754", "-68.9254763650344668591238950405", "-68.08629956110954848284133689708", "-67.66123832155037482206353647883", "-67.07776987878383988813285707594", "-66.55023309842806428063224131466", "-66.08946784266227959796251642958", "-65.41563361829511757772630163979", "-64.88354417518778633209076774680", "-64.34834857461298888841340117698", "-63.76555046686264815904605823050", "-62.700676315848921756838947546863", "-62.24127361740997205711274599655", "-61.65942912178611936165303848919", "-61.495213575168210657789699239062", "-60.770435612822753589009234509326", "-60.031696147231854774953800460182", "-59.42523039527756143805244551633", "-58.92022156549088951963549416496", "-58.30977058400498786505147603516", "-57.77492934308105720171488971782", "-56.93202591019325342386745664075", "-56.49472398331329925656718206130", "-55.74769109956042110722309673286", "-55.01399721628484190992543200005", "-54.667272965970000983869083291225", "-54.26025991116021721136276004436", "-53.79138415598628774896870056801", "-52.91373446110222912896467042822", "-52.244210859725285573314060733648", "-51.41881339086675896802271782898", "-50.97935731288343337736025014094", "-50.49090983821416000111431424626", "-49.77454087191501841822028909035", "-49.2679753194760697155685311545", "-48.686893957879308505574144848337", "-48.13875069346201996513391761895", "-47.4195292629781134747359647223", "-46.977531308876109031828792888806", "-46.04812130830760258479662318150", "-45.39590780710545597284023888510", "-45.15827177977535704741942020162", "-44.28432810213641316922523376608", "-43.60826969632053718346254874385", "-43.09783211495680542018818546698", "-42.60022536950505166549143759896", "-42.02638898946023066912270041974", "-41.618130249691368419194673391437", "-40.5601047872343208649777811856", "-39.96269678272025755596969288952", "-39.174293146689803192057385427985", "-38.65805510783218264774085904347", "-38.18578591053952478844524723076", "-37.93994207389556228991481624247", "-36.998786963640648188349204465963", "-36.20628720465501398466982636911", "-35.76938086261495726553862191932", "-35.13348452314830970361363557194", "-34.37693413131863985408027165647", "-33.90703203039607445903061399006", "-32.87926016636299818438773725851", "-32.3889760820777272486044810424", "-32.17623318294559788439040002815", "-31.312060405434019685035731015180", "-30.65999257904460359997560916392", "-30.124620335056031132736968967370", "-29.67226454319651232939117553124", "-28.29346538011498015361019774391", "-28.12419963472348382146394769647", "-27.32049305065268765075703598316", "-26.92597670829374397594096811373", "-26.02496181243535592933432153749", "-25.662016981950577646574077214542", "-25.14315298025710362926483811888", "-24.31695371127821202143106660118", "-23.235820734943975313303647568933", "-22.87565072665702555868539376797", "-22.388446865145024657342683011409", "-21.58946609833238370214036937342", "-20.89649538834321231959082684259", "-20.062215602556883147011936847670", "-19.713456016506033586533720532882", "-19.12799604191381621989190518075", "-18.55589237445720374692416463508", "-17.56053649021779467660607668047", "-16.51379325247053521299264920009", "-16.32655269130262545901395478383", "-15.35538991358627405853200560435", "-15.09415626297915856152402927007", "-14.30412825903691116019768303457", "-13.70510937504760763202248332666", "-12.621745548502449983332615887203", "-12.31580930021670064090538557950", "-11.297659958996974239466067090230", "-10.35729096643640970419037271415", "-10.22807452961395392813559424073", "-9.23599641450411545162194205262", "-8.49951662619053478460432031969", "-7.99069270861111308245154330392", "-7.09679658551080775007771403579", "-6.40724258669968621239156290071", "-5.56293363358494069265264618815", "-4.384642230665431283207795626917", "-3.89494894654653731627877631571", "-3.30501752305462585438437687784", "-2.65620626265694919695106681419", "-1.51566186035096806375035001133", "-0.06768027595177424360954414018"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}