# Zeros of 1-33e2-1089.178-r1-0-0 downloaded from the LMFDB on 25 April 2024. {"order_of_vanishing": 0, "positive_zeros": ["0.97817131445754953861690592701", "2.87756420771214459769329558872", "3.567047023205253819465799142818", "4.38844634665685483802538471380", "5.47649684546728234967195987299", "6.53757096005037492007168513208", "6.97873790679492861640525713472", "7.772294504648771907605675988593", "8.67297063704568244379179749132", "9.7420489718304927285864529318", "10.26153833828634858026522808063", "11.62239432909998370039584227773", "12.27538640972135215319732733816", "13.25086498130979760796194254944", "14.027079346239533545131012575681", "14.710777596206234053255519400076", "15.52603660997032640283060837354", "16.13277569517457879547187139857", "16.858431277915813797481763574579", "17.66001951925728428702960532559", "18.66071751549787522097497274864", "19.213512791660923996317835168877", "19.830072251592338369083332647747", "21.21696834188524000668688755025", "21.99015316722715940138383167054", "22.57287994624329656468706463011", "23.35401164920571667435973084837", "23.74828582698053272049008559618", "24.70507443289232425758587928501", "25.62930270463250099571132883326", "26.11252125940204313203955142620", "26.83570473975287368753110544083", "27.27750713543179368060395883439", "28.37903708966047169793625467356", "29.15338456267102950585421743457", "30.15120925629225181983223745259", "30.76620467481899733044193209130", "31.62399516795776510148641486246", "31.969361138128680389819407263998", "33.13835092174741590224158993103", "33.35153707254074898761720267580", "34.468246263504670670640009802143", "34.87494027097173856775516835742", "35.51403242790314496463348160298", "36.216218769178988988822544367596", "36.970063090170199907978674523940", "37.90538517965913868426108310799", "38.80277420576750862254265610630", "39.324967526397785822351943397752", "39.9145534357297059599728043767", "41.21492888460385290415892890600", "41.5598785660117878503507260293", "42.00047471010455242753190985793", "42.92478748476325455602048000045", "43.396552518772044715148518096977", "44.01243382624090735767135420392", "45.105509413981888125778356968218", "45.514007092832871406385232791735", "46.1454560796456837031880710523", "46.75110156949249487285922883364", "48.12523110329455196295528320103", "48.426054308358844042031214829111", "49.37465033910589229803302869657", "50.02322354243928699172533450326", "50.47996303024158711805260225577", "51.47972307093912894972770989783", "51.5962110724928221741950072784", "52.644246267175663611121301536462", "53.2209235226903824012907860311", "53.94191463600321227016372011248", "54.51475418741245578152357762169", "55.10627760052675445055567484086", "55.74221392543064570177961352434", "57.04963511171335659448402801354", "57.52575225738488743626052029245", "58.43883717715032114094829240324", "58.69474315420852121401448198757", "59.25766298238778329120931469448", "60.32692088722843989917208796805", "61.10845568836688072713852317534", "61.31165790908136626699859921938", "61.960770228083884939822130441956", "62.744418770502912953192320292095", "63.29035040825718997589788136508", "63.985946338921854015232673670476", "64.95566955320424723108959108370", "65.47051191509376353284897976186", "66.210013796031213113700027777", "67.14299676549676126629680827455", "67.60207153969525926347223128169", "68.4753954953711527981125760880", "68.78213598729778380571389805779", "69.687147314934683880810905963396", "70.30066630632718823103632809510", "70.660012718274611647431775529704", "71.4625567959574649715867346546", "72.0398844851778237042065001325", "72.87285734963909707217512070288", "73.47645309443794483705332113561", "74.03857095013184837436151596799", "74.86862400094653296910089332029", "75.70424098489372054909813395257", "76.36370845869309490652305292929", "77.296419841206771846768273499627", "77.58744235997439189282235869791", "78.01421335692482948990859969946", "78.7354889606322058059181909175", "79.55458500713019754243396724343", "80.214865247340293256623291672515", "80.844626057727476428506272291775", "81.339052725566118735777402662211", "81.791614767752946726440826085837", "82.624859730897849509154954891719", "83.48000880355227447060469953996", "84.25259853403384980995799351447", "85.21258248519383788342537219872", "85.272785120159792426344482867975", "86.14598907981051115850196706786", "86.84748699489264914207812036227", "87.409143522657505392231416844101", "88.0860760256356612405425626922", "88.638061252369214924234260182094", "89.2603046547736408747852986771", "90.010759639488561246670125970860", "90.52947563983236217048796556215", "90.78585459463614673470258631699", "92.01511012329471152069128764410", "92.60560947156709647604346076975", "93.43487425064728380422720004216", "93.90306930684195654528986590594", "94.623729884162564866801477877105", "95.23343061235756801059849188451", "95.99622502664793482600908894520", "96.68517371498469536426188915227", "97.26309594937987145491920166182", "97.42065784026813496360212902219", "98.19450322043450242401390138924", "99.05312805908427852911337216769", "99.71454701984804515657057529674", "100.200098683252111545808985418752", "100.78968961816242966674470446805", "101.527853464930558991215824150229", "102.28008645211178043273474596249", "103.38195068752084945874175713575", "103.57644586314113473312595369020", "104.218019598646126233384772533", "105.0287945507458665333478529001", "105.596839913885979515180896304146", "105.84018973608494493257294385466", "106.829467248683282769336143922522", "107.49926455774946208676040604360", "107.74334254730490778165072643297", "108.6020536794417639865924324807", "109.316071242716628382913957385281", "109.71840028921817223097817260254", "110.28012030973328012167650052540", "111.461896753119221440737566422307", "112.19914360178806487204679691605", "112.72289411896782680577354924135", "112.99288791145011272855825037243", "113.88426757654920808266746721863", "114.3376937759522082827207212049", "115.07567407643249808999241421932", "115.8451251223169275898040036366", "116.28500670211201130287966868533", "116.93198731092484343616690506886", "117.14291135259577176263072235633", "118.01512483091751833248090628954", "118.80079116483904651676180558738", "119.52706833053531992203496262838", "120.084056584838189904027371290630", "120.822455794436551306823937856272", "121.56225282548134747244935286633", "121.99289578492811602963002239449", "122.93832945313098531579562805915", "123.21501754723559091612856424866", "123.95719944709320281231497826304", "124.4821201806856691741217656747", "125.18572140568034776979807694203", "125.54878241774455661488539284330", "126.29957729019743556677170423098", "126.96742984898501919136121200893", "127.50758791525005304100855814802", "128.16735306586406485951142696575", "129.01393945082363014165572260944", "129.55326659637946840123772669294", "130.15509697562201781220274746913", "131.086691905491311824004686661048", "131.83730483088929196410755592214", "131.97122877038260315857953706469", "132.600883379284694859419458947385", "133.37849665530480128974766873328", "133.63275395444220084654166438582", "134.73655684034914902658978422488", "135.111124942719700232155830101301", "135.69077313630228235596254334714", "136.387292314634191652484735774077", "136.65452947867367627297784451238", "137.49567559054675087225716577039", "138.5323686016424842131863760844", "139.336106382509408936007036899339", "139.51507317462408731586155278623", "140.08655733872630443089193594003", "141.06528656423232640699691626985", "141.36024190873288929807474323751", "142.05580567359885579539591055074", "142.62067241855706764611225926858", "143.361776175997872184864018799661", "143.80938704545780233323799662608", "144.3461333903678260080045649710", "144.96698307389471166453675014227", "145.63225718578415777120738040581", "146.14014046315462971828653013108", "147.05456735669292111312070555977", "147.9066183256565871837534847662", "148.293329690891252298416543196599", "148.94363792772362182006711486099", "149.41009904971101258370066956379", "150.18819117613184298771408035268", "151.03190315950647524589685228385", "151.24780044985359183127777176700", "152.01012016747296753695033732931", "152.42094523475104595264144293405", "152.783629902659215395883357522", "153.94235823065191752921955974680", "154.204824762371653934914117844575", "155.103132967970683746180482127018", "155.31436778701476053569003445049", "156.36221412251208914603478639549", "156.772470507828875153223163830219", "157.76287272033643840670315546231", "158.34452404878270111694507539607", "158.87585513780575945549604182839", "159.29809383606164351342012725075", "159.85653413265509453728148763567", "160.62322127506522507234806304875", "161.22421082264916131265268431614", "161.66098210369648597433323168124", "162.18703324860008720544180058893", "163.14674207628755562624833315475", "163.55466854675062904675869879484", "163.82361364008681202288562456254", "164.77929713585723002293573000240", "165.573988829454206202822205792578", "166.108124783637397456093075223280", "167.20058978583281060549321569507", "167.2786589153208331660759227401", "167.96767954185554389472326282899", "168.468606079097225619846236470711", "169.039002996551334070248258390971", "169.83535316902620479797593136256", "170.48267185119963962838110358618", "170.89624129525092467336248315105", "171.56849825548261512381606920248", "171.86534554402487976735619855709", "172.4396288965379403785818889580", "173.47681241752778875695701658632", "173.9795777635583856092201791401", "174.75556930710905658912618057051", "175.36981104611693533997105617983", "175.827350524911989304066131701878", "176.64011902554104956954978584411", "177.00256218600817933029523678286", "178.01200253259599169115909260705", "178.31092101889710621917036220034", "178.69224406900267272675205864515", "179.40899902777418614846150657004", "180.09038419687807426128397493647", "180.64845819865247224106188243834", "181.0146261831045513986745853210", "181.949263235762252263753373618925", "182.25448237615691857998283327653", "183.225633242917095645122995751356", "183.86133452648520014478909773990", "184.187464219270664708631362169683", "185.22867592486054552965391750967", "185.764059256319447408898733128244", "186.10244275892922912031570148072", "187.12564660200968125650004377085", "187.28252809495638537024103584023", "187.77517727883795130268859038785", "188.43334754761876567353191613253", "189.13133788317578697747757814798", "189.9109139978184315640905270792", "190.293556006771322275530419904952", "190.845359654937259745783813236398", "191.29379432416537117556236891712", "191.97459245080411144085088802141", "193.2225544892293954716370481358", "193.48060873523744538613347168538", "194.147069654788516787342222753423", "194.734228929656525183298084022893", "195.29878651887003589592446357073", "195.65265395813084066182826221143", "196.60809429031728739338503759230", "196.99184751748616967498583746706", "197.64099286448569862500634987437", "198.20596388614012660670429081958", "198.56030600666940559965467395277", "199.53191042999708779648120569151", "199.64191988100815389340517399721"], "negative_zeros": ["-199.53086896469511094017377028508", "-198.77010517148737010941176622336", "-198.58710413999019280830614132437", "-197.35839937719630295167443894480", "-196.651392125574365718070463151042", "-196.30426552352512022041041834560", "-195.57236289018350855199458295284", "-195.03741637296267204106665876911", "-194.54307463399619652535015991265", "-193.65492332409262321967456570224", "-193.298022808102853922347412018793", "-192.89020504291754675922718760505", "-191.92904321333229896470913067918", "-191.585960389897623344245635887747", "-190.96721453468776606654312188079", "-190.65461066259991495731252289984", "-189.77312523585778510573562321915", "-189.09338498789994462883766341435", "-188.62406709875322178565288541220", "-187.58588296232197532501356316365", "-186.989102277914416540795497579310", "-186.85575413976123268428040313711", "-186.079721406091182203260825089059", "-185.039550273547826593682350832298", "-184.82501578050262203505792053951", "-184.16657751022327598124657636701", "-183.60759562795116045790527679023", "-183.33893506907276270182361367010", "-182.5040515700320181439791539588", "-181.87136527896742838912292606292", "-181.235557773205077206233994290886", "-180.65854001119385572503635674541", "-180.1184942618893752807533241259", "-179.682669727831749686785612102426", "-178.5336878753441431280845548038", "-178.1131828798034575645252088994", "-177.22455605677810591682417893507", "-176.87695447399321134230715332456", "-176.2950662494484931837419746768", "-175.78364293285672486433380115967", "-175.13236058461414900152263960850", "-174.38984602412254562667176519825", "-174.08758903323865180768439285533", "-173.30341417134279051250095510746", "-172.87385301137847604536101247977", "-172.04469837979266620085517988552", "-171.56986574906875348194065568260", "-171.27768502611350151627866097033", "-170.275650667828596726425896732059", "-169.34226458980349037069872581465", "-168.80161597781431636983772184236", "-168.46034044740452668534103737084", "-167.43817189231929260476305321648", "-167.211842462689318928013103940168", "-166.94135693010925300390044830743", "-165.67445706901084046295047840371", "-165.25463896488700326405663433869", "-164.81666143473643726603511979064", "-164.2402571444906031946237954497", "-163.824015052042376886704725164888", "-163.09098935771648511048978462793", "-162.38543105421649229576910531921", "-161.72047155587278006131259047482", "-160.86133897570185800802027203441", "-160.60241596729497663166867497648", "-159.5190898873918078583442299375", "-159.35636918033069697165577998411", "-158.27095553610430763418505304087", "-158.041166641802076508309677075499", "-157.17906424953301474339707302444", "-156.87247727308738089195666874549", "-156.28155555439897994667521952032", "-155.51084798473270293713132680282", "-155.04026869060349201049623811135", "-154.451971057657627005487572726391", "-153.84823880305534903822498367684", "-153.13683343287316835944752694654", "-152.50778917949842210125161600890", "-151.825196782038068782023705465531", "-151.23842345972153058088481910547", "-150.381307152621271975471829899575", "-149.774984942345731150400989452576", "-149.19516688008929536870849210979", "-148.67523022523795835792161978314", "-148.201835423749471221215256281906", "-147.58349115789368781567716956524", "-147.02991922904712866386584502005", "-146.21072043670453927973354526469", "-145.64291225026187071129463528291", "-144.98954933287842654259601108164", "-144.73010674620233577530861943026", "-144.205587485434333672027728589558", "-143.10800417235614864785424187972", "-142.220268096423666605719301495648", "-141.88979595904803525732599898466", "-141.09601130736993452656602277445", "-140.7031369719029390292413132991", "-139.95983491245867725344857996023", "-139.48388765635590136824279684898", "-138.70641279857844894620216985930", "-138.12714981907213340177702627213", "-137.598826054187369068201736783692", "-137.20019398879304214201575272110", "-136.22900070096479016761993562637", "-136.04108089871463451017479214635", "-135.12871901896730034369581949806", "-134.726623595892247883422663525269", "-133.609361333074853364238656975726", "-132.948108932890876327241653146479", "-132.58657799611061546691123382480", "-131.92810168219424826735378864517", "-131.18493350335615860569763016645", "-130.67934623988939907520533055979", "-129.78928601431364280037967455053", "-129.43159364040558129080947119204", "-128.88009687492204745101773545915", "-128.53211455236957832203137956819", "-127.52938098711159255593876278606", "-127.14398836286630565008553779108", "-126.29722050589643779943129068016", "-125.73512688049502607032356120968", "-125.146449458810823329966346415704", "-124.59715925138751723577683443994", "-123.45478045538662161914527077089", "-122.8952786543203520787813805002", "-122.36985195398298862450829318156", "-121.98219021922156521530101080472", "-121.183382304810474026172824661438", "-120.52305349270302289466997577489", "-120.21432397801233023412417635278", "-119.423329138345936222097885001169", "-118.52284893069986783474790720093", "-118.36443900323202765126856289911", "-117.74164549313320074958918376238", "-116.82636606089344060762984961701", "-116.45251741488676173223760851213", "-115.52909666903133334573658437060", "-114.74731516505607613905202164078", "-114.03520059550232279366991272280", "-113.43696310932035477390000731780", "-113.09744101401379529866676063272", "-112.3948359928246108448974722553", "-111.86266788816226940353210774279", "-110.93916568991452849604415681829", "-110.4043988893404481666699631914", "-109.99309032146114949640162140501", "-109.27250024259285702479138737640", "-108.90676550287270957316544479994", "-108.195442810319243814072419523005", "-107.1134520205178660253368673753", "-106.73026346935034714211622861951", "-105.65909869574926858095644508623", "-105.40640106378664978196137481820", "-104.85794887804150027082650210793", "-103.64670916884900641675014851956", "-103.43971060512383993298871795829", "-102.71596261645418012267163061670", "-102.35947577501270423538586260170", "-101.43934287598444189845696194477", "-100.995249942711305527570919715877", "-100.46669938137570593074417677271", "-99.62800008456725827352499824681", "-99.09871075011724599765038341142", "-98.40942072951021907729408885351", "-97.70286233772248397166290653696", "-96.84467234485245644874340624139", "-96.289411499104646083755343090607", "-95.58845421329116966450351678927", "-94.93170877091441420632677459045", "-94.14874998995103877585901298413", "-93.815472991645120735694687464147", "-93.280302435363393814285307214046", "-92.63633039580986597895348999580", "-91.8886970106937769419490634630", "-91.028273367439789095605161325829", "-90.55754348506384483020948699606", "-90.31966645154953397965279471916", "-89.372064299572053354489675813567", "-88.698918726843852300800899650260", "-87.604503628713242036561455792747", "-86.907845210297869142202581494532", "-86.614776300528540657496277480996", "-86.051811532661636266279183997774", "-85.20829611504864272089817546895", "-84.68612343006136692751864091914", "-83.86334699784337482818252042685", "-83.29353214074123263744478349680", "-82.955446591077465117680989204842", "-82.05785052485332547985002419982", "-81.64391694891551811735493151121", "-80.74818501730328244448651228695", "-80.370895232958005078474958496294", "-79.17936777002981543891576123310", "-78.56907327105789186008363206539", "-77.99076133971255115060300605017", "-77.33250041496063142109172567965", "-76.74640384415555145036923166691", "-75.95973646137766498535010725902", "-75.38261769882418977552297091086", "-74.736538588561167237764849925276", "-73.96690177742752535686299662480", "-73.817818860417203691641961688843", "-73.12833502281129053663696854856", "-71.950551554369813564309097519358", "-71.52900488975884623447281605239", "-70.98946345765119939162125664152", "-70.068063626559466682676897215468", "-69.36935336955966202745753057405", "-68.5456025278621054036500528049", "-67.91790297503307519165286736245", "-67.203758468461589585234894807127", "-66.797443203039612783585534453205", "-66.34189006785152489739324292220", "-65.336726324106704460800374632308", "-64.71878637954677961585826209729", "-64.28238246092115821992984325564", "-63.390519808028380157338931245716", "-62.98414882332435353905426645048", "-62.25299999139500576098032636337", "-61.29874306177553927046426919464", "-60.601510670161527309819890624517", "-59.7949917875758373437726512764", "-59.04573864701174991056355762334", "-58.571984653485145283837208482661", "-58.0977200988511710503745477890", "-57.31770405409141993803655513529", "-56.36178976631443908567130873261", "-56.189969839872796029093710582747", "-55.054377349876983704108089624719", "-54.716138864311687328368366820006", "-54.28022992835626050637516168858", "-53.447401190499298064243386890282", "-52.1671307322454061578037904792", "-51.69252891327197665751929879619", "-51.03320493672144767372579292539", "-50.399986096722080704274758208847", "-49.562454407251806479772376090777", "-48.94657281442019255519570393397", "-48.08444159171877491097228096861", "-47.79463401935605467900264031535", "-46.8854095779586513309081317079", "-46.62341902982674015299820500921", "-45.51212660727426482113852982566", "-44.96966697177768332134517756181", "-44.35578779582671809248812040480", "-43.46710516037653497270269890262", "-42.55134361053668783279972525270", "-41.92021413453491955482839479069", "-41.215433543741199641281832458298", "-40.435006691661607669029517410316", "-39.71055275906987272782129979153", "-39.17144841168932794663036782616", "-38.606434813399900809182811826728", "-37.95016915960894550260718136486", "-37.026604453352550745766269880256", "-36.416601578445556066590295073400", "-35.688337490873796677574435709", "-35.10939970326662288419609963659", "-34.405653052281743110853837776922", "-32.992456293558366214425368665073", "-32.506981655621984987883853683470", "-31.78142411258330236636138217174", "-31.41422913356146945487464089963", "-30.49918338167927182255219776127", "-29.7179342354655824117801803540", "-29.00044935284016664436401929217", "-28.37688228404004983122687987983", "-27.836353013801580008186541469", "-26.834275230762280506515285047231", "-26.55718922593597047939966633796", "-25.02520597300326636709581131788", "-24.71418914322374164805463660152", "-23.53971067428651940785364731803", "-22.82067330381883648561248441065", "-22.484594052133638684777943178131", "-21.47107640638466584470438782735", "-20.57605237756123419666823105397", "-20.1211588803217747871644705065", "-19.325047809840049656628128096359", "-18.818346066495254406531438002459", "-17.83854234440591919640907406123", "-16.976749960477469682479063524044", "-15.99349449152748475357189949967", "-15.41958800422984371887533233869", "-14.335451606126510464706181966183", "-13.44324160840505591143573268213", "-12.6784484454862841806687181962", "-12.15656980434132044451407092195", "-11.508867760115256136236297755977", "-10.37107964607121975968786056453", "-9.67248645086305986150311234481", "-8.96058203455410898351344726743", "-8.08802918021975530242984364189", "-7.09001463471835261053915505524", "-5.71248083228578052514310693411", "-5.04693149462086954115972876042", "-4.13359418968827245774790668580", "-3.12020494343819070504116705296", "-2.552550932660766320794880692516", "-0.87988795651916705740774296349", "-0.40599982696692159382631154204"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}