# Zeros of 1-837-837.797-r0-0-0 downloaded from the LMFDB on 15 November 2025.
{"order_of_vanishing": 0, "positive_zeros": ["1.04942473605270413535647725092", "2.078034906042168375495715857818", "2.73065535259713192616794885544", "4.16118009040429345527805088816", "5.37481321408790289971634708362", "6.326133763296656304961745335691", "7.29197527490627781003217358230", "8.12189550704482818964258620921", "8.85772804713676935547897161178", "10.02908761498626654707016302797", "10.468535499796464138834704522050", "11.12118811055281862114104144147", "12.41100540869465074252813631671", "12.90264895895999041405401262048", "14.21107932539415463602430040369", "14.938372452345259413297269845625", "15.715878486788223584647268794874", "17.0184754215994238275520489746", "17.40147779397279443916292128337", "18.12310451654155405796228726662", "18.623545342933129585990994483915", "19.87875184101492680506153929319", "20.43752842528848990413907761143", "21.301719791551694911314751499457", "21.67933171823147737500917793431", "22.905472809217581669755380006370", "23.80100152511848345454225206996", "24.86499046812531482095107632759", "25.31086462879977028433400417694", "26.092260136937327551297818248", "26.705810176322238207609976459496", "27.803307362638345317853019730499", "28.10832785728813301812954729745", "28.95322899076288771802431070035", "29.99949595389490998379092756270", "30.25923788451890853020122888511", "30.91733485201647256513506288152", "32.30173224189304070523039794236", "33.09277351357474588992648115737", "33.769220586152502555722699418987", "34.40537539651044640977422021116", "34.97130975230331860354990938361", "36.19085055798028806451550399936", "36.733294435536493042500265060108", "37.039188889575327680873143164888", "37.9872790848923401699844134731", "38.517582727380369660378248299857", "39.40921167035111211340309124115", "40.26997476343637705538878380149", "40.809520791741803665673384015786", "41.8223100553087671319740838764", "42.52493454047406868298091187600", "43.471729073522782346439406233604", "44.00582696997795891468981369662", "44.693973404245989776038648665984", "45.2885318126555131238418095267", "46.1007128588703805369870942869", "46.69004050586853773982716622602", "47.31431099972010255652257482704", "48.10748763608046788575154154955", "48.88239387002603610103517492229", "49.624989428043343569661819521737", "49.99697959061630281160935924475", "51.41301958518504279591861699899", "52.028725058201867399997192541835", "52.757781834278887870529361570491", "53.1013460488109202587363609942", "53.98790630472012799162058584879", "54.52853131463735128510353845659", "55.27411136400023207444176934543", "56.22476324260566030513720709650", "56.705070336199564427360368165871", "57.07148402036185938569567102007", "57.77471037903659149872297440622", "58.85155120350752226930229800602", "59.92597222207702361010294352653", "60.09140428129558170511697894186", "61.135304025857991255023114782507", "61.783515964555400286633487430252", "62.39546411837486792261934921914", "63.0359977286053979883747679791", "63.82107858728257945625162176108", "64.4791225835486884913044803203", "64.92528800145755904301981537235", "65.675035613453093194980066393943", "66.33897677190264468739579346827", "66.94884163466126592270518730600", "67.900497757143421375490507724681", "68.62779871073145605155738678849", "69.347036537815905407140652668510", "70.148970990667240875259018042557", "70.52016273905994608454313631402", "71.74218040205124149671984883419", "72.126310391553653894067247672270", "72.59904717108648339963244368597", "73.1903763622599785299087147739", "73.876998443196552946208804553350", "74.833191322400609566990965955", "75.320639911221321162012262942105", "75.97956390451685892714985306612", "76.5856763847318689391790424916", "77.22049761509854093587112788649", "78.58423019213985788356959733844", "78.965405886408015996291540393698", "79.52749551188187688498074087587", "80.34535768262595164337370533385", "80.9479025152966637518177378388", "81.42863028296227899328531037551", "82.158395149938270854280730188898", "82.96985347196905659748946285738", "83.54935552361701504845953936930", "83.95061792605677147597166433507", "84.80555216897226118132411085713", "85.427293321299130709342022778843", "86.01954177425201159113981490944", "87.0900997863857197707970459455", "87.94138323937699908769403807183", "88.514262851593620915634387179835", "88.80075462140104188201151425617", "89.50570720252731183513459547827", "90.481290895334106359300134703796", "91.0493490147094240440333270614", "91.6570393168290062340686758971", "92.21878086559010076954212788979", "92.534542348341292801753491241388", "93.5273512577677196132829435066", "94.24269445629678135904546833368", "94.72061990564603993839719644813", "95.76539861315404748501119997769", "96.42494779589157781972485714263", "96.75911572119135982814638153591", "97.92072113024233349486825384226", "98.4982821684280920007105897400", "99.07500471821895913147979989149", "99.310278384563165063377515432129", "100.46771484894512629965482359115", "100.72703998059176374187427523293", "101.495144623308187039425418420106", "102.08235397502223773038366873597", "102.714519510626752439628655805411", "103.6879779981127017730912069673", "103.867688352895775010921482691715", "104.911067305171913562044209088842", "105.53525557080847941246676545783", "106.54517114240249920721719341165", "107.01024063164905769892284274518", "107.53977289320812845536233976570", "108.32037758444999985754348268101", "108.6043472698942539461842938688", "109.33282057872840243414987614390", "110.316449534148420441409488098293", "110.70047426244157791833889729095", "111.34728074444752242620432039882", "111.89924225331334754132282492392", "112.361127135324057219878986481203", "113.29824694306827454752106952083", "114.37672737992365940734571219811", "114.93523029692812910623916535483", "115.26889485074775899801322476430", "116.0897241852818071698408896349", "116.72797345018955464314795930030", "117.41387588673718468104343038808", "117.98932936354719710077430282169", "118.64885886680415198683065665901", "119.058646936536077898750670713743", "119.90163033227718377495336491565", "120.48494489452807657290317880688", "120.82374149917967056572177592818", "121.74661229645733494065997976198", "122.507317303958482015071047585001", "123.287905293466407573458605704327", "123.89082257638603390433880504681", "124.4643749263070312416775801754", "125.2067978740313276828495466076", "125.94918792477519680019348342294", "126.31763271089060176255466248316", "127.2521874075925976343077693091", "127.66230394399799636489468194455", "128.07233911187774651347844977141", "128.58617315302523368591746349442", "129.86839736363318383324540760307", "130.12598948140106726528973151388", "130.79963673009979113206694028893", "131.10034707912399061162375502165", "132.330329645857497531105825216144", "132.98119039130210640407659168493", "133.651390461137899653146149741346", "134.28470747350953821307764358759", "134.91349185108301382495433186523", "135.1844894849891470825599204887", "136.2123055697400407402295105056", "136.45120456500154148565778353095", "137.392317615003542432837770209678", "137.86807829986184076836571626411", "138.503590406545909589267264692963", "139.01922317413368952518824508385", "139.604934844035440892596463896390", "140.55810218426801458341248880826", "141.01108640869640812076546992655", "141.97309778908296745935844895743", "142.8762145507010776492781195441", "143.124895351651856185592410019714", "143.52042843115411808899469995331", "144.31265352286227286840076003795", "145.080982467372336102620720570651", "145.6823454477082544889950033970", "146.25892449259874364614613806520", "146.87945943590333714189578682572", "147.169490440571073355564321614680", "147.96418230476515969290756983770", "148.54877533291293488578171641639", "149.58141499963853123564205046839", "150.04245921320891114643394170318", "150.69889277569443533548299968537", "151.43581759191413428255011299467", "152.0534599975623664433791339962", "152.72039331207009353143629272740", "153.365317987732903572938253935599", "154.048993217994067565999398661662", "154.33243949927030877342824511194", "154.94273846786635391419541032952", "155.739921903423691697352069308963", "156.31806561047239290310738533938", "156.90282471533912604355580480248", "157.48205089297673656163333937679", "158.07396917590190599733821508345", "159.08156914689903945664447140406", "159.39741936494559708059730936432", "160.40952466134017120579007954117", "160.79198841262709329914927085179", "161.78795678633893028418162929566", "162.28831097202634557522709712967", "162.50388306605389438376242258937", "163.26059582251598031372801739451", "163.79936174759791306057424282047", "164.70009907444783394129010548405", "165.1531758529605690635758903899", "165.67394633309106752304893432386", "166.412840568672979125011664951341", "166.96486059901202994896809079837", "167.244196504023777355004033778931", "168.58844465256524356313227448722", "169.37889272758226435601459964183", "169.62553917921611961927808453679", "170.32138319052058529168778058019", "170.6893201019689893745680847781", "171.59596674575802489023847212989", "172.49211111010491236985840244996", "172.50660150846440300213630292540", "173.22849237647311697143650627434", "173.93708633444348958126926952861", "174.63419785490366721112193803938", "174.964378369127631304366921916562", "175.53627698449604970340436737177", "176.59912968104980046076085059789", "176.94675554333919184046413407643", "177.93051569759881980362397495863", "178.487981374762745885685680624585", "179.04075109571205308568611299421", "179.64897363789366807091729279980", "180.29638042915322638197389297441", "180.93562156224411801864120988268", "181.63199654287366831386961746171", "182.06774138349016900754097081191", "182.48968464988396278488530866963", "183.20498694608291421750614029365", "183.703007983214131530127599684356", "184.65123161352685747936654673431", "185.230381502625518878096348652455", "185.56030501505411796365659596013", "186.31756124500023300131348987406", "187.16807492594623491678274433228", "187.92165457816786854996257135971", "188.67719015065541393502148736946", "188.821280513215292468140663409392", "189.65296642550475184737911052789", "190.125853901428625319390588895126", "190.60608649815117391807408126565", "191.5726049101574734898645819632", "191.878472900183314455788136694232", "192.642399891921804516903947520779", "193.00255146444725517418672977992", "193.862796461114130167016349131576", "194.22062412220566125523704619776", "194.946889829974479131047692586210", "195.96488605094279753344393949618", "196.563695847741911892779858423269", "197.02393971176352599494656635686", "197.62879717866356097748138689638", "198.6120913227170166996297300591", "198.77673096486255986069683731771", "198.99983986044333182744932076633"], "negative_zeros": ["-199.66662536471400178410877953607", "-198.6520155952666562928661710823", "-198.1990462498020138002460835125", "-197.77982788894031330908610304449", "-196.976823468661392969910151419489", "-196.58285819130388572025100639482", "-195.80449609972771197429095259079", "-195.45461857698342788437928051712", "-194.45112136581334706785813650946", "-193.64828163193952225696339768259", "-193.18743115582875739302973258168", "-192.33657615241931114967169417836", "-191.97710684213642245178641628767", "-191.66984033751926172107050579642", "-190.61391643564044347965886520702", "-190.08113400654336964308088310836", "-189.339647138815437564404229771975", "-189.1004033335954447499832184876", "-188.617381130876982077352987013315", "-187.76175770310575909066743244379", "-187.3520484925392037323993217880", "-186.39822164929586957043581489822", "-185.82853570574362964895632292096", "-185.26633697403184534839625849833", "-184.60213942941274314204956470744", "-183.66790474587604152036102880389", "-183.338083126975685537374557864295", "-182.51386588051810824348104084808", "-181.89952512755266214609561294428", "-181.64277080387909574949198719127", "-180.742731041864191277960909633970", "-180.39000420876999357891680132470", "-179.79199728063507787787169131275", "-178.88783504874768368866357391968", "-178.357691992412625326484594119487", "-178.169380011901615770086740544", "-177.133467792440460584476948743466", "-176.55028570971111733299298244189", "-175.75736929855248812201320433836", "-175.307127593045180892140182150644", "-174.21657744397353939994699485238", "-173.82511174231068931855913613642", "-173.22947401289918703061058336527", "-172.881986286048530142339522292", "-172.22984573796864952851853200048", "-171.511566904251040054724303669743", "-170.72716692483725797869821786701", "-170.20416235836388857320718280911", "-169.89677976270223728992043777842", "-169.0504877101472381763188271935", "-168.604121407354148881541454261647", "-168.031544453666061350102601506652", "-166.73010942949374239224408974775", "-166.360526154944678783342077428434", "-165.56385231706170943854760223115", "-165.38651837066160968824906795220", "-164.60114171264970995089643188595", "-163.63193212923230579411748252117", "-163.39179725813226523710896147071", "-162.51998223515794189325934558856", "-162.35832387190737855246576707560", "-161.43388487543661333009924810465", "-160.95392580127509783782657592118", "-160.25522456881774391816952652392", "-159.86010258715302212732916964036", "-159.0358989063432607534243622029", "-158.07077493885186223472196252323", "-157.70069100546573739678858560361", "-156.92395533514777584228307838920", "-156.25152459269686618475825051831", "-155.65582140704760117816201903943", "-155.15249493255043378189157315406", "-154.10696716267598383884574883393", "-153.88738583343174503861337917990", "-153.47872592159846199862805431007", "-152.73314993391277278002611618266", "-152.12884546467286454844593715556", "-151.23693922195122944259401968641", "-150.89340490263507826176620931915", "-150.05072228862245651843311981496", "-149.69362555822051707463967735897", "-148.926337321605198614903331496695", "-147.77406905551255135250472996798", "-147.324728960942460204507079214724", "-146.65171772892873979056205398134", "-146.37574815099402830449230770672", "-145.6404800300092121354682284610", "-144.87533028936293263772295551002", "-144.410628500317440579917538926518", "-143.737479965128992955321401807648", "-143.07809743968610988196626560629", "-142.575270781253580376078190310141", "-141.94711211277840719964732362357", "-141.33486063668178851712709505507", "-140.72407718607649660905918079843", "-139.7645067583002725898001463933", "-139.01014720085606318675712590721", "-138.34178684129953962825027866973", "-138.03031957059332485269049236025", "-137.12459952640996262555568712349", "-136.69502243855311771313648456582", "-136.14235493930678085494004765224", "-135.30422056656093964784250627909", "-134.58571702014373344844868910827", "-134.14605650578566236727156322394", "-133.7546970030692194332096476581", "-133.31368945952082306917478274796", "-131.98347043393437886471841563235", "-131.63155043486487663153221007780", "-131.00846773425951495693072913336", "-129.95947075367265079864284687455", "-129.67441350647303875679354948061", "-128.91329515838236852817858841026", "-127.97570044966055886823686105059", "-127.70497567725172474280601100009", "-126.86145625526118459548022060147", "-126.55839606375673168910455969502", "-125.83551264747525576663460530881", "-125.27525563754279138368542838657", "-124.36195064405717229724376651560", "-123.92500132142931869251805222103", "-123.424949374948190114515394352253", "-122.65799396579056166104624764568", "-121.71181604191104978084129913860", "-121.233786907342906002404102749851", "-120.40539100070379405743761708201", "-119.75127778241830756229864989852", "-118.98519896594672498316593161099", "-118.62908006501305445826576083617", "-117.9080984917498193832020217037", "-117.60009273526469435531197631661", "-116.59935524921493998002573206892", "-116.0405842094265504412607915717", "-115.37167154125807400185776238758", "-114.84820457910981282867349888158", "-114.28742135077208441174246118445", "-113.75809290412312614164979566762", "-112.58144084149770009448925414237", "-111.71647083851747979368348054476", "-111.40095347484078662075421585769", "-110.67270567412908694214619261490", "-110.21858900807309999149749212835", "-109.404527278704545550422587849678", "-108.7378965020032984011163816155", "-108.048198386681502552094475681085", "-107.548899055023280485476850464851", "-107.06485287943253828900798792423", "-106.45302418705696918840881606460", "-105.41240121099861597826973837225", "-105.23433888412247466540633557203", "-104.31152611685294609650122834076", "-103.50657680560425238355084170490", "-102.507812498913260724552236080695", "-102.24612057661229215445160032339", "-101.71982490883462232137179892135", "-100.62505275006781198155199707707", "-100.155797485975554762615820971155", "-99.58314780032947716838122024014", "-99.058974720394259104286634078068", "-98.11949855164533523275459920014", "-98.04046079371965424265187846782", "-97.06907620205559330557933703700", "-96.33861206584393427317507730837", "-95.5291273588159310572602059630", "-95.26646966349007704284729566722", "-94.27138802693624065806205429374", "-93.57059726497572204249798713950", "-92.42315022545843027874129179192", "-92.11126349918737933743170004338", "-91.7901574316221794043566563074", "-91.08921726722236029107291619869", "-90.11990162314517974218481161302", "-89.714289953714730359047560410240", "-88.99650480828363602905262072453", "-88.41938671583527303920651030947", "-87.53566510512413787323283816244", "-87.28896040412643767806642618037", "-86.557935234114013811045753787927", "-85.379942250561594236319729950407", "-84.79234419838116201780575997857", "-84.151455960665100045565957962953", "-83.31969073071645373312276391599", "-82.79337509776186140479977566090", "-82.36518445733251722872506661910", "-81.4988998470480095905184246771", "-80.86726347327967951625224206924", "-80.09131782266563705082507302112", "-79.63438073725428400104009505727", "-78.9896332816278092184666482889", "-78.559393942542907039649105400257", "-77.61532317762451539923640617906", "-76.5760592421519332963668611207", "-76.0311490359408123863701712204", "-75.39901040143834988959714438394", "-74.76482649619319253438954852341", "-73.76660164094800238988853417181", "-73.38964205783335936412745731932", "-72.459719239261376155259120837750", "-72.10644822640743805701313963003", "-71.56593113411019387404679330780", "-70.736797687040576557457883121134", "-69.99588341823946282386451642391", "-69.46730956289417042937596886956", "-68.62370672816404303824479402970", "-68.104141577638817967262227905841", "-67.18488417000215515421727188563", "-66.26957808347912781407841172540", "-65.52428730858187625982646287108", "-65.28191362985836853649388872791", "-64.08714606027896020883571826129", "-63.74812317333382075836665538340", "-63.09963329124566351634842104927", "-62.62555699139159538632210227125", "-61.64032329882484939638889475863", "-60.89936512620786730427235576377", "-60.28807770643690029990890676258", "-60.011967256446710455936972246473", "-59.049897441170618170111020733517", "-57.971803302679284148270598095196", "-57.23434813937294416844322212625", "-56.45672830850524821150433160405", "-56.02288568336719438640927892670", "-55.420310383729301163401890529623", "-54.73332374224972476277643103368", "-53.53474540786360450960020014438", "-53.192522614409550176751462775799", "-52.93925057648877212767917930312", "-51.840149408335902712865074263414", "-51.40753641779059841915941605179", "-50.39359814077653973273935402633", "-49.815242477152119666818650416597", "-48.801136403796375569349660493373", "-47.92169920235197651691609213962", "-47.5509904416687076351516184309", "-46.74837686853102855696900337709", "-45.921042752430024829104825745357", "-45.25855717571551914444042641781", "-44.66905408609325932291369191295", "-44.03258363596115452281210207243", "-43.26260702442430320126380506972", "-42.81129772361950343227098107780", "-41.710631933937933242948966084020", "-41.128861996320269374650300738", "-40.17079265695766730817916320857", "-39.73652331335835830975325193882", "-38.36980738096120358694426078955", "-37.95318184731189177660034479410", "-37.19518845407126038319963267631", "-36.42134132985135859753006217328", "-36.232334500422311998398421415762", "-35.1341968233382361336448561408", "-34.12673134981937019758025684567", "-33.88271421757904663176214820141", "-33.199628978456797888961094329958", "-32.20118592048593941072219002089", "-31.53769514614563257910298306315", "-30.33909927083375774321510108063", "-29.58065222528884070703014505879", "-29.05822207741615810086873303349", "-28.27548641831243073839028496913", "-27.487773444770272589160970832900", "-26.90984611668620463726731881841", "-25.97835967391563297987930973527", "-25.32176354954296195557269862221", "-24.65157824642186278133664446374", "-23.92597711330217277888510546831", "-23.32975887170616389211152470948", "-21.699273582267264771084222110350", "-21.18835431515370714320865251511", "-20.73239108861813419885293987425", "-19.60711500604620614713929847826", "-18.68896911777200964880981444829", "-18.18964320405166473105283365497", "-17.37078611749928338024726784543", "-16.633817743746120757902475374756", "-16.07399277497871958950907045673", "-14.910135228615913844986453375918", "-14.12589101495956303039566198982", "-13.516891625180643105737583646096", "-12.051265090674565491149562025641", "-11.42239318598306443384814532492", "-10.48123586915522774203480163335", "-9.73741386682866635428715537908", "-8.78831516636145951290958557537", "-8.2743935140179306592568047365", "-7.27736403482996896674523007202", "-6.11416143612085923359945925109", "-5.59537096326462089058024352408", "-4.51887298448954183978387089116", "-2.85088614158494892235445924809", "-1.85725609466855173252023105067", "-1.068204817903956836946934003567"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}