# Zeros of 1-3381-3381.1223-r0-0-0 downloaded from the LMFDB on 29 March 2024. {"order_of_vanishing": 0, "positive_zeros": ["0.83154280060458684103309549426", "1.89024515844596461003358430524", "2.73110541199766845152783335303", "3.16395436045269994293858248586", "4.20377276310102855739370206614", "5.01932045805960904173221885697", "5.671832607600181387765644440753", "6.55033348488964793773796461762", "6.96981609365290676990262508656", "7.76016561531695664541543301482", "9.11320990095570459118773047900", "9.68968290989701791106120565728", "10.398792438021979852907515223969", "11.16183195727076442602334999245", "11.85404726440491424539346325842", "12.27244561360110114900444160606", "13.54399101740480675458941942768", "13.82724411450187025303933230712", "14.27101334091676486184847173974", "15.21545800711246096771488836995", "15.63272656090993799363298960793", "16.71075587101816015255703698059", "17.17265443005385887665727394598", "18.14257185717141753590212301691", "18.83712179223869698270414651363", "19.547701775700312895251761924304", "20.069748240434330327486780828701", "21.00265254411151241948170266847", "21.52386866062062308691467052161", "22.25270876376669992277642889506", "22.4582199675403553566125881339", "23.24713794673762682369160884745", "24.15310438898237978819561607417", "24.77334155160864085177385192333", "25.06625670573100794419354934431", "25.99228739298133050209877461201", "26.77941099758530600084820870540", "27.23487923906802664973801998534", "28.35657242209008591074727469580", "28.92926175209465231348859198357", "29.471092835702987383976007729886", "30.118488332877750375145076803347", "30.42587302617659172469038031251", "31.35179933184437002740620621825", "31.925058530741884198838071949050", "32.536590768235346595372684648151", "33.15710763193373694938897755064", "33.78440209038397750687502767492", "34.27036035112645246428480746336", "34.8951708838252378143905870229", "35.68736031324060870434966107197", "36.79674133421773503988942772377", "37.15285794739490756804772051297", "37.752486939339187970608356735093", "38.50763174313959923891614943318", "38.78301358259155419963679946738", "39.711834321552679831964957744701", "40.312735527937851094062415765547", "40.82122445371932283213462549765", "41.4210667843206917462543811738", "42.01618953210508317820455705359", "42.42515229551515449151401095106", "43.303123424468816790154111024621", "43.70783606317037980507116207091", "44.61859572654040229607632613288", "45.4413176789820487612655005958", "45.7711106804275547349617892610", "46.5932394410159479320785697878", "47.11697045103765692781847320924", "47.87166867695123822568921621767", "48.525886818383168793761418648", "48.910210574029411335295979803670", "49.50885822331296201804340783343", "50.0730547657156392093534511662", "50.665610961912644619960689277930", "51.32900251134562014531254699242", "51.87914591143131035535790908279", "52.50262921905087007621598531960", "53.21936950981899181821192891783", "53.78529385225787067850349910276", "54.24574609105450834670498450914", "55.378059953405500412507468909620", "55.97547994869859353259762488515", "56.396980394370485108087303436054", "56.837615791931267970431171984461", "57.582894183564258971221976568713", "58.28558970318957424807215644839", "58.48346216461745243528136910910", "59.24885084568084990812255241887", "59.91053832332577713701048661531", "60.72070057842837855825714218085", "60.94899861042357814836385517176", "61.37078677737719764208460717685", "62.20608561995828532876171944524", "62.84527022939325206835497192055", "63.87300613775289212686753615914", "64.271376575862962999413472675692", "64.90816756874441981603908230373", "65.32414625462646676265379214317", "66.251476405229606530817223310117", "66.362215252400873460441282997198", "67.16837653919659679252209880985", "67.84017296694111747028796440021", "68.38591347007776639164647437932", "69.001052224388641731153895675339", "69.273532836585926837424858623748", "69.84601415495141858410613257684", "70.62512721547871780312241165663", "71.41973366031578950607793356436", "71.71614863543741937820608781129", "72.67411607156931527490854144505", "73.294941916244988149519885713171", "73.842365649985687256689254989435", "74.15613316330749098380526131648", "75.14863758571712099818104015260", "75.75039829666735470875667930587", "75.91653065817198895520240427584", "76.838848932190415312366502316141", "77.069783032668002122376335663491", "77.82110448093993243302839296812", "78.16740407801720396041524118935", "79.04568204083864831546042598500", "79.55660913102037274030533755916", "80.12963041057302903579517095093", "80.60378225168563179293361450346", "81.35184962166579192538036119707", "82.106237311309218708806697903554", "82.75691368376811172457892468386", "83.22775954176155918657963025274", "83.97216820774850243546052319713", "84.37388064386416674159579044146", "85.04000060679341053844242185109", "85.272596731550260976749812525", "85.99363484551521369142760830180", "86.70879665849862080553751227181", "87.23418012680496424991971376878", "87.80019915009383520602932207984", "88.29481035636436554172386130621", "88.743126952227767361724208786442", "89.35023150378977470820440213972", "90.24095076358448475573088205362", "90.75863909976061026415112775350", "91.57211521607595996169890166762", "92.11664516733955196620553488850", "92.66645430213745306347988097672", "92.96968320808156585304557530477", "93.582786287867412480133021908498", "94.33706414129250334952089363851", "94.826902890480044409343258206520", "95.6081494199040345260122916311", "95.90279592589415247921451811816", "96.163240793167274843177777150366", "97.14776718686482714466164304166", "97.55843124317625770826959079716", "98.02050623830835209835541385172", "98.80234946939232363367433517279", "99.52779089016590955049992392869", "100.35542296584577382505093016787", "100.55402308799359269506966768462", "101.10661997746361437171350751464", "101.82993710531609704754623444753", "102.518015582218100760069472429330", "103.15622300348869103456284240782", "103.38721393137550884337444078180", "103.85014482730166975596437551495", "104.79449457176542767447776983352", "105.09309304861571429035031327845", "105.41775185449175208791869255607", "106.346072551908697040269298963905", "106.82569490524542516605457820581", "107.452400317328819300948753568512", "107.89156952617590756063273731045", "108.67065753922533017020120407314", "109.19263399937539120765985612277", "109.98567439312399593171237797735", "110.54418112683321637508078077358", "111.046706881634433975832927662623", "111.69319637272277361252096282474", "111.92142603473128805673424858105", "112.62026791484565239861242976556", "113.16986210115372566157451804089", "113.73124327905493146675215353833", "114.26451721273008942895442345205", "114.90884812719613177816793563928", "115.4338250113442310895867656854", "115.89504155614341669954663517974", "116.42759304083083205992476116274", "116.916838682540627820231973223885", "118.02199371760657252634701489565", "118.49436628892348616026634246631", "118.94356235312555140059493948679", "119.81716262509344432986187785207", "120.041417733754658891712157685945", "120.40551085524092768589790448864", "121.220955697511449381151450251349", "121.86372218316703324764484953826", "122.341707186328406299486191802905", "122.72671133114336418967593415390", "123.423992141042834635636796672209", "123.99292831759063247883509481913", "124.26970635337349654113129977914", "125.06520064794751671364429433787", "125.292103121330274393047521575503", "126.56202277577399295664731266016", "126.86155074814625879538417978204", "127.42634661257255151722866358053", "127.927121857126261939086000394112", "128.77603206690979915730537981919", "129.09330783926387291781948392603", "129.68017793347195397876293885584", "130.30107847979503803091975161724", "130.81464062103842643829549737768", "131.45124112967793323537023973613", "131.70691303556027077043172917249", "132.39525226597545306686635472331", "132.72061691413712552875049598150", "133.56645264433682331312774192059", "134.07964347471575335472570518757", "134.69741428793949581229811491370", "135.0718206305716394822119440724", "135.788781675135399210371006159592", "136.44858110836655049386201201365", "137.301244113220360996936496350382", "137.477434716784626760027198238768", "138.13712624005295134335074424286", "138.86859976809466477790412095319", "139.21688451648236787002599665698", "139.7237311433623306708227632423", "140.286699045244234486571936901654", "140.54314820764504508085970201455", "141.62359096075804327995184900255", "142.03083146677446851079691816629", "142.28881422133181352873227511207", "143.06284386188547704916326484027", "143.34896075472559972929885870790", "144.13936268284337592843419964617", "144.75068054587678197104005176992", "145.452244963782276444095879992132", "146.14377102140481996185149935053", "146.64834825848525146914109047257", "147.0415518356126316459359838041", "147.6117821577761851073271637201", "148.07159354153890222935483591863", "148.6032191125195945745227865878", "149.436499973530955950961499413966", "149.71928651349745292769003819194", "150.35803710827802192817118814825", "150.81714375894518931862869718580", "151.25253454587516089898741392054", "151.90619353629810427008109756204", "152.3049796737379825013767250485", "153.02661713511332306459344291751", "153.83031793574722438686470634976", "154.28882421716969122142103821079", "154.91717382420247105495797340475", "155.45870688514051893265166214801", "155.98999634880106598709932611172", "156.35451574216690830499560739032", "157.18886409243460770017382157372", "157.66563375791974869437284512993", "158.13298104027743872474517908799", "158.73668056219319313907056645414", "159.0628028105126627372660606579", "159.492778313526770114968739765182", "160.42768477330235683966029229080", "160.64402242564075148613125156484", "161.32982942899452330522407833944", "162.01072978138476633100871429601", "162.299446099115191960396167027489", "163.38134773710512729886979760187", "163.49001401471439947154233116136", "164.28252092852201827273196321524", "164.894076119124086164974953709260", "165.529824460963739589578923031592", "165.889048588687922305399857037726", "166.52303429788035014037137117714", "166.90226101333093363173856807225", "167.32325191461568478873360516636", "167.89848234620549990412573908535", "168.94533856307834736659714988441", "169.02084223618284103024644975296", "169.31728565780176341520274177579", "170.236421537992275614842947598026", "170.84383736978664549839418912034", "171.04133439450456781965075375095", "171.75321340857234052889672201251", "172.56437985548534695391377471975", "173.33001507086388941905742477010", "173.80539795165773216375968442856", "174.184541296098859113797287823851", "174.40872787704753812501736705316", "175.349706934401953087118681158983", "175.779256292571411539542506397790", "176.24299259015468839839605613570", "176.796648356734165854821683213245", "177.44753516036995913922390472305", "177.90455253245144632841958805178", "178.36796058480258535503373987204", "178.83635643375105190982095215956", "179.36790233986864743223941054294", "179.949303729709540478233386337299", "180.626244238251378160052680913487", "181.53538060389811268602754360994", "181.82910241719745108074838329422", "182.38102770224175446826352603888", "182.814685715697851518853489739161", "183.54917200992364654640003248803", "184.04559800815295313109129033836", "184.54893850596331401174283319247", "185.06481380498201312494594371087", "185.620144898920571208719834802989", "186.2345426071855762117819120966", "186.46381496751398418717460164941", "187.136878759227399728056088262118", "187.47298337427520493269109354959", "188.31654151796733146631684017669", "188.873341575450917627445143493301", "189.2579585767718449562107368572", "189.84111556293743874031928465543", "190.70569395878673518451502945710", "191.06198191004608686621958220597", "191.54513781815405263193575867926", "192.46139822677287314166481589230", "192.77995752117820258259946268158", "193.3153733172600387869901245883", "193.6685199144871477075725172622", "194.38014072866165877079937358501", "194.74801224643173093173003087327", "195.34971732646528993354139957648", "195.742490598330501449068585809555", "196.552694219728318865053518272828", "196.92109151908647509170585710584", "197.51225091428798003189491413874", "197.930773607247148771833564611704", "198.43441274048067449849508786395", "199.06958664810438155631938591114"], "negative_zeros": ["-199.2525514235200955565795864573", "-198.54916585569071538136435547704", "-198.23463514125711665160212527388", "-197.53301898775115986603555716113", "-197.02118333383147366943331658655", "-196.58320834184067089911930290694", "-196.11300109896109976575604849071", "-195.47224855666000679095423233641", "-195.19382108006974701583418561349", "-194.545333582001125752402757928421", "-193.79556067696265545002411358115", "-193.32953462625206077216417892531", "-192.96626153553245670683018872989", "-192.587439975642447968275810017127", "-191.82504711120057679788859222865", "-191.38927071763510124366026260924", "-190.6429040794718961199599604613", "-189.85229568063512013292186759863", "-189.344534437836744475913810444567", "-189.049201500968216164730810057150", "-188.19438500954186817481211174537", "-187.92129067747649948216542005", "-187.57495606267012231394731347904", "-186.66483593740020578752931341298", "-186.298321107236624532992161691537", "-185.61962994612009498997708142818", "-185.262491862786151102269208771232", "-184.80202119191731208889589439111", "-184.16010789110195439872356158085", "-183.78547292484175387176461739196", "-183.26629311518169410541338762096", "-182.30010158434566316669798857794", "-182.14324076539437783578907176665", "-181.14612416443591334771576845686", "-180.80757430969115204623681213788", "-180.158568551721770286118316988208", "-179.74651961043460469395755205109", "-178.96499400501504673049131916816", "-178.627819179510863457980601572470", "-178.04839314335091929309166523214", "-177.33932487968297350942725583936", "-177.0001466348434602365364865551", "-176.50287214072881636055216660580", "-176.215265736270954312935887416670", "-175.44553090094396647779716326313", "-174.6741176523898942050929195170", "-174.368845696938719044127287202376", "-173.91732772322691641292977336889", "-173.279048633661773281767523588735", "-172.56891806578145269046264660600", "-171.96983820084935468925084383900", "-171.51841309292517323678927523394", "-170.79320684997055106452880580806", "-170.1260379852269116272757697532", "-169.73799491377213941831583729210", "-169.28653598398751682014500534287", "-168.67355572422088821060373801044", "-168.48232424516892858416137278613", "-167.54233364531336978198423684894", "-167.2005338485409029864099846954", "-166.52435792159931583031740973995", "-166.04135283632305000243929268185", "-165.61667088433964872390383835638", "-165.069246761304194730334203874104", "-164.5263150167264252895535705144", "-163.76716186980596330473740708379", "-163.42777286794922988124269850224", "-162.33454928475423218393357576397", "-161.75632731802694424314479730260", "-161.63284086171677562865720620674", "-161.07744479432605565076944473132", "-160.52896582685862460717371622874", "-159.85220324925447235390191523925", "-159.244016345746893759675929259457", "-158.75630132000974192793602916969", "-158.47492350674525774184009420495", "-157.61743169663070711582900067146", "-157.26594783074545860057496870339", "-156.70077270799000318260726255726", "-156.405644430319706315186737046028", "-155.644284261389688046962324568433", "-154.92547309452310123525773422810", "-154.19025521130836764531884413432", "-153.92039427235647772188711239966", "-152.990682590334914328859301570435", "-152.7521055547388024141660057022", "-152.20076300430811491842912475356", "-151.453837373940099230955402826722", "-150.852076310883640013330247214385", "-150.510341629288827988690111107151", "-149.97543422965978137509762077061", "-149.41821596694865822504955205032", "-148.894123630295156885794230475140", "-148.4692322916396861913930739141", "-147.83682466703133958005189783819", "-147.24892123696458197059777406070", "-146.6531302598606788461481844130", "-146.09195279776073033371715682793", "-145.63693233824109993436901900121", "-144.91695198225284185414208581352", "-144.22783115149693418953400677637", "-143.7326193832277506525861348010", "-142.996440854906386531889327560019", "-142.58752110246742655015710406215", "-142.09113939736220898907984822668", "-141.62401591203222996351559711052", "-141.05322440018634619090391136743", "-140.55842147878575545919628369067", "-139.83222310345560353469125494834", "-139.541946069474254975353442962506", "-138.70567972358046055010491664989", "-138.395397828890722667392964389678", "-137.74305431625353035011753942638", "-137.27153107948738378561800844724", "-136.88682392697385275299682438994", "-135.698831870546236296330047798033", "-135.14635792462575090307452278155", "-134.82128717097939930425462402660", "-134.22844422380947431935204284705", "-133.617291105219312091801971911292", "-133.21559100421310820762816701156", "-132.50618194851696816696901615638", "-132.13318730797614057040229385761", "-131.520459204718040096516826141456", "-130.81212292497329320883635696149", "-130.39048006558246520199497044594", "-129.794621155240780073143562437142", "-129.650742859014336384161334276590", "-128.91650827604312418193637088464", "-128.09514819517902261483840143169", "-127.56421434712800247696063827345", "-126.84416706413978878100465037559", "-126.44524143147014799712373983906", "-125.55236535242661878602696140558", "-125.215733434068562932371896982699", "-124.85359687815482713607183274956", "-123.976153291607930713828873169067", "-123.50377352311010305056019578921", "-122.96327385710395320485927461925", "-122.36631169788793555945541348938", "-122.05396313110567686290278944277", "-121.536052998122030028445695659453", "-120.89772423475993245642415549924", "-120.21478873256524062534283515553", "-119.65388695701300127480248161234", "-119.26132379561797598007242668551", "-118.50136634687751228164697400604", "-117.98668119328414215585833924810", "-117.16311323049710438755022985895", "-116.66464405072577215399263442475", "-116.23948721574855592496899190620", "-115.309066419577280079067692407782", "-114.908554173946514308113198772812", "-114.533260606568459972750523514140", "-114.16919433347462507015968845938", "-113.24787666756210283671765365695", "-112.985246142428796019198411762811", "-112.16771821872625555553182802155", "-111.7706806986395555873308616901", "-111.14490719502227829487836153637", "-110.64908227392956334530268307269", "-110.08764772469572135778119933269", "-109.64946415189867812384868564479", "-108.57920871322776520030991346156", "-108.05288134989338461319591401746", "-107.49639380552055394000165981553", "-106.96356156886222019835754590711", "-106.41112500026334428247747323914", "-105.76838897190010914767479280856", "-105.61548863487107834833658446463", "-104.8011415684469403079619309301", "-103.958143313329463094993895171051", "-103.60517645842324508043420978113", "-103.29463434939253777428828763775", "-102.67404148868646428456809753623", "-101.949667501310612626007205636073", "-101.53326818097809382150870455101", "-101.01188155694348220888102928708", "-99.950280373253365174541428418459", "-99.638719627098464097393117330660", "-98.68437231372664861883157504010", "-98.40420368418180647574847714811", "-98.00447326315391442468928573404", "-97.10660794102684859835257625312", "-96.704879708622033266998015145642", "-95.917043697094406117142141107246", "-95.48242087737570261297842799294", "-95.17048885144980570899241249236", "-94.521599059180783446449233262012", "-93.9085881638576354962342398596", "-93.35283403449079154114475435612", "-92.67891541906855176331061398417", "-92.37121810350564735007149988221", "-91.45486090671601639714395190471", "-90.67261693780394939326823023073", "-90.544572816566149544370748628025", "-89.761322597492252803525922829708", "-88.724737218397980619449706231220", "-88.47595943860662780532170300043", "-87.997011522156248662582853664741", "-87.36528658430432842864770235282", "-86.84629409867471946926025900083", "-86.27162886195360302216672628138", "-85.77532036608606105653586050399", "-85.10038843383103098607075602886", "-84.6461898253812584564749477831", "-83.85390218397092233370745149740", "-83.35678318651677952161885671798", "-83.0621554288258517816858487613", "-82.34730091327615945309939459497", "-81.35036786925933514232441463068", "-80.84423876882323340084318762115", "-79.987511737046465900349588952919", "-79.81933437689753201638034676586", "-79.223566788322501921872365912274", "-78.51043982976387236963251472199", "-77.99771164500080167424136360183", "-77.58305870779986416991322712449", "-76.6785132749978579536265815272", "-76.29194016063022293972652387902", "-75.73874595008149518008428275115", "-75.200123904589824784262827737868", "-74.7009758312710820915799694200", "-74.11333740254677202001171411965", "-73.35526276753419398073406472024", "-72.41830038056229079410683476124", "-72.05666793153516166883606610475", "-71.37008500430278726285025165720", "-70.83072160100259826458698452585", "-70.309721735472065842387285982860", "-69.59219950879127440083460503076", "-69.05795383583727316549806516601", "-68.420984816618075960398044997491", "-67.94693858539317235899306148320", "-67.41410433045807442691702002999", "-66.876314851128525427098117662278", "-66.28838940991029668885818155177", "-65.70934450327552289425810525665", "-64.94571777098688552597620963437", "-64.336801088578193746597244567945", "-63.80236565404273787596594793798", "-63.04961400151230639264902348215", "-62.47986616120714330647376526936", "-61.61439241898447657627437805000", "-61.13286822706488478844003912359", "-60.83745086293378421934350367138", "-59.86822529884838157673634362646", "-59.50080074249429976443753752698", "-58.909819133549336494950636675567", "-58.67945417307959726779334023586", "-57.54981634239833408357999898845", "-57.10619375305207005765029757041", "-56.47322906367969291680226171997", "-56.21639784783740094138536014272", "-55.40099428901041195814618759105", "-54.61279586396111959868629692778", "-53.86893833031573717115297123449", "-53.23350846327550781018894245166", "-52.60758692569285495087125163775", "-52.00303471772504853011826575038", "-51.64926960674247522739898823071", "-50.91909931510045422158924329272", "-50.50030352334659982547943160651", "-49.61328253303879348405007448193", "-49.034349652575816390223178277177", "-48.58343031790830727862037207208", "-48.05417602630363843834932308735", "-47.59831410653912198552925034139", "-46.575307457710657253260316332513", "-46.259428593019675279637738759657", "-45.27113332398710149296872640309", "-44.45047557888505138824843229699", "-44.02160167138399314185982355029", "-43.52590209758690099401902455974", "-43.00830352212398211563573935882", "-42.02078840555930098668645356112", "-41.38484224508526748731313403959", "-41.281992649106159220335721179136", "-40.36781711650139006461667334458", "-39.70149005342011674907155763700", "-39.55365795614396999415688426124", "-38.526974551433164668990179101844", "-38.07036791757249655233911450841", "-37.16538008888581138387913782494", "-36.73273501115766183012054014892", "-35.73455421872025533302482878885", "-35.338709605756865731783652504167", "-34.56362735516311116440611831187", "-33.85709452425310097560388516542", "-33.196845364606648385973231928034", "-32.75228331396344749801981073234", "-32.22586928266401899502013436488", "-31.60437781318351047456656490677", "-30.835898340860170627440045535912", "-30.3126759010426137012900444091", "-29.55643581776368803759745542891", "-29.018770795851747823570271965207", "-28.45764991476160535282439928646", "-27.64197814419429275109717190445", "-26.84065117326473095233870772906", "-26.00836464808170567538185145766", "-25.35525705830226058414237413076", "-24.78111563260583886381553320171", "-24.43294170102449422101069109268", "-23.639517927841844459671333321896", "-22.93650027945345461082688793117", "-22.20527716498046162850923184459", "-21.70789622448979736447481802480", "-21.137886082466958479818343851448", "-20.21122715510448420402783008662", "-19.99632476285561139886353130063", "-19.1430623009177728178070907213", "-17.91640422974819647515498697328", "-17.27931231565041352733607034146", "-16.87772755848093076532968016784", "-16.166933998960767989376510129107", "-15.30358246680221627152640726131", "-14.71150374826516298540559013479", "-14.013263879061158848113081564", "-13.47452507829857923043267431434", "-12.556597168949399980551692835263", "-12.19049532877061558208012452828", "-11.6470242777076510426519866282", "-10.232414882104931765584097170364", "-10.0873563400210131481901724977", "-8.88713012772200782057295636402", "-8.2521926882238153309879759407", "-7.33930559815346625960848685463", "-6.58716089723315172311845701793", "-5.95077625864160767686127406173", "-5.04160694916126760706647667410", "-4.676449837132495762103346806847", "-3.7336782310170184275860743870", "-2.87474400594085260489482682540", "-1.86027335982530410875758774035", "-1.31479665211977586672318956280"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}