# Zeros of 1-1001-1001.139-r0-0-0 downloaded from the LMFDB on 17 June 2026.
{"order_of_vanishing": 0, "positive_zeros": ["0.74737113688057975213319603098", "1.96764946065432647931946519967", "2.901533974670653333760719188489", "4.2061042120758387502178996836", "5.753531505729547820766053149813", "6.144460687853147470447851582989", "7.23195796631045108117973699930", "7.61241950939180982584656749296", "8.41580411137737436194498650848", "9.43962346577794136133859248497", "10.362465080999270537727402380961", "11.227184371039289123904537111573", "11.96057868130116362886843604483", "13.154537453815061438862484856176", "13.946554081326851491304302086329", "14.68974716768129219289082736696", "15.20266635092802955868101224205", "16.32310318158780460272715032235", "17.103913589232505162114445140217", "17.907026589960875270983867510541", "18.62225659280433733994511638419", "18.92218178517023450294274297547", "19.856259538199950770269676228464", "20.47624910133889260132604559560", "22.037067740864134344399339174322", "22.67498099974720299995307452788", "23.45911327923331031431010736376", "24.05557324110774815189676815940", "24.72095302501283531716248300337", "25.65680218715480739368796738387", "26.09160463945438519635262408994", "26.745211464773148337650085313035", "27.67918542517258931591453054352", "28.48925854142931064790050517087", "29.11985033947690649289977012064", "30.175286209628314123300633542458", "30.44646549054795937478250764436", "31.52970010444516949490480280137", "32.16338202675109212749246712836", "33.20674815723877952884185936504", "33.89551733563677122192574866343", "34.68407429416410780714056728417", "34.966756770282196808068585971293", "35.72000405682124145334958157188", "36.49794088398927901144295181203", "37.24558361235588539904722111308", "37.59334801283484494046733349989", "38.64538316262492605016366608762", "39.33570947551329056213817073703", "40.66961710563087115699139431769", "41.04078989002517546377394004419", "41.959519268475412289085715301722", "42.15260919185097755334823421588", "43.04221369339326713008185226989", "43.5074448285247095139554248574", "44.462037396658769907290680221846", "45.50604433376990266463579366114", "45.72568963710970545592938645292", "46.54883246004013066827789061928", "46.92791958506509428783833181234", "47.868840000118161488778132284341", "48.50222361730299419884505182790", "49.6378033055202803396908875789", "50.20553123808287938281737798359", "50.8672926883717102012513492800", "51.78289623013620400209597695126", "52.31781176783641792656231223958", "52.916346556352273259728307306693", "53.56773783732168828805380183928", "54.20908363079935157678339900052", "54.549936283771866412500332388208", "55.307903799454919572337427975949", "56.51595592072738592201891760798", "56.901413707580479850690287473382", "57.88778095481805378114157760452", "58.62104926476510786835934829102", "58.96811774803557503856628507717", "59.93778939819119452395635090704", "60.52585825909261260305619689945", "61.17054916627917730931274552628", "61.864807090888037320400538741", "62.703313493671959555127149083919", "62.99956635348710726932246659686", "64.0182113041536199877357209552", "64.37514975508779827839117898557", "65.19511719300660215763884471902", "65.602158450102008111323392449251", "66.23393541677896977707681711120", "67.40346899872063699019261453341", "68.37941492743541485902308106959", "68.95049741272115757060553263743", "69.404466805280629060725852147573", "70.06804257388911699887197575215", "70.59481195687519533173877842515", "71.098153748575675323674499550397", "72.05024523737032179338789681664", "72.4835854001905572413587169472", "73.28963139147211881950194426520", "74.034713980387737468212992162590", "74.44102929548782900303465216681", "75.267958095535717497188038888463", "76.19315786397792382238797353341", "76.80656288059834261385683145657", "77.45798041224340562033262604529", "77.84825179636324132913290311112", "78.8251318354946651090900118727", "79.44017141510121679880136248604", "80.43150349732523302877295088923", "80.66184685746752251998533424950", "81.22726740396260582216795453609", "81.98820075748599874216134767112", "82.30646543271708908854186566809", "83.016362389273449356372852610703", "83.90609534300752571090871883341", "84.56230967687003894004107792790", "85.70141855953539192797848158711", "86.11444939259419155306124319543", "86.62995325943477314845869735039", "87.68510148920677066260068854443", "87.960165727718993668677207415480", "88.545722569223155079851411560886", "89.16124897692074789100833610014", "89.795052639661351532194222016578", "90.48724579944899371850017985889", "91.27573787516072017945181810950", "92.009557258099561044870174975694", "92.5528478232090219688212311509", "92.8572766236875884511965479194", "93.72847324905738979497879900034", "94.46371191082467826820032690921", "95.22087312124995387770069262956", "96.08107541765903998028840423637", "96.859135114804243081268882256612", "97.11628945311857015439583829996", "97.73839068434905825240852636533", "98.5378506468728326016413720927", "99.0523196897035000817010140812", "99.52453197699469281426977305714", "100.30599090747399919009758539322", "100.89518400613783633397739680952", "101.19732575564859851386032021990", "102.28642303417491011907451495116", "103.13150623637487117922631017346", "103.93512816860126324210867801027", "104.366897617907735575033853572502", "105.04991639488183914118044466443", "105.48147130558862739903841420262", "106.05065350040165632657379956051", "106.828870782302804842427759168875", "107.67993218276706981771913732294", "108.25241066118958316450985593361", "108.69096248950714434498955710991", "109.36872104634274366502010522590", "109.93802131912813293100203321481", "110.441361429011219236472737563707", "111.16010577898478954372405294551", "112.096001441279801197926217360137", "112.38944217788816349162123367984", "113.55051648540951791784046111314", "114.132097418875970532617368584892", "114.69409531575876489410984021369", "115.4914413730097830566060114964", "115.90604080493788375309421406066", "116.41143359625454166598518272326", "116.968733535088630568303704029324", "117.42639025342398789814856599172", "118.26298924524997030584253760787", "118.95059759145154944331524638443", "119.82270711875205937799957285123", "120.09536821554798365276283887089", "121.078353836818980001696011738269", "121.35391534343268924405507922634", "122.49060203953934519926681546037", "123.03153507211739780910820876102", "123.3157663015418038727090388631", "124.38291515250504870096900943993", "124.64079549519357427799065591262", "125.456809927087273128928401114992", "126.091954814596204662147437961779", "126.83313090631880650605381525189", "127.1204976300038446574641124318", "127.91289251312477716838940924508", "128.295826107148080029344583433070", "128.79182583330517784169789794782", "129.52424699673223141910921043283", "130.75424279840525570750007382094", "131.34742530627720502206541193824", "132.047837356151244783021648872907", "132.4680346893461602726006204726", "132.915483207885011072899883460258", "133.60902168798123681096012595320", "134.25537315073949825257079765081", "134.87596756457289829273984720496", "135.29084814728924404111240299418", "136.17073825698729553839772721680", "136.68661138792797694383688613409", "137.19833595246727278487776574718", "138.04576054621702322978068651239", "138.54467939937126823287174578105", "139.31260628443632212453338905549", "139.90181115629795282517962190207", "140.49650426309100275187129870692", "141.14733815314661010713389537079", "141.938875177268193919692794773094", "142.73279674077944152148927806877", "143.214220258037819306387512788970", "143.76091182671487942750960880692", "144.114664148985067483379335796159", "144.8476760308857850724264877811", "145.29617594084236370178074212321", "146.02940365865325529495561901012", "146.5540796755208456389861343896", "147.29059940671710211088940072765", "148.05282817331625047939114987764", "148.69364714596702367191054067235", "149.564448066862914415304464664796", "150.117377236860593383700421922292", "150.79531257740935966535849865130", "150.98601090397217725795057675212", "151.84078294268577242975724510563", "152.326864300638838792289930371287", "152.70639810989554616915524867931", "153.902134697927933928600074075658", "154.376030680846993823957923560", "154.81299548560870843963761326430", "155.39828110397173401368694260687", "155.97689356148917527599665906599", "156.51199327156277811026620839758", "157.07973402388990480300761855281", "158.17477526196429013571649420784", "158.86091475517391586284600829518", "159.31566198901765617432275704696", "160.02510557947711273813148157751", "160.68755291322027850120749449207", "161.05816907058064563204340952611", "161.67852758672060351078194060098", "162.489564086281299278982762794782", "162.9158329650058871651746835691", "163.125446368362346205145948624834", "164.00012365954966480436149267763", "164.54926840593906515336238817253", "165.50035098041194792143734576564", "166.01063707749720688147422250492", "166.858315498514783879541570729785", "167.4487441983001338881209069225", "167.79502551681809575514759247793", "168.51193848278560108378530457420", "169.09923223366461089290033349586", "169.810189948654883556960050202089", "170.47615511876792654790257014607", "170.99776164872146250955767343099", "171.669646110052349111927570301915", "172.2378901180269214921300150043", "172.44761072599550240588403895377", "173.57367901845383495252175641565", "173.782476221762621126602901773829", "174.42771203066061514671119239877", "174.993282525674203358071174907182", "175.850254508330819574752120865209", "176.763717028278268950625278866915", "177.33685202596690264428432052141", "178.05065147016746021959206765138", "178.53530467520219398374259551024", "178.81325386227332021968011357770", "179.62751922104020747759423045970", "179.85177681347974094649278801012", "180.73384864677110556364071073616", "181.18440315627999633727528312499", "182.11259332523721975687736061352", "182.60252317541844551671744288238", "183.13161323404787592022857227576", "183.60024641275264755532982288825", "184.41242194894905932727025182427", "185.14748302279423780466576534100", "185.875238152075439452707659251372", "186.21974255553009885510220181117", "187.08067108916187811335322403858", "187.30584094383189551928733962889", "188.35561057790416597359222093260", "188.86200824428229757212320873725", "189.31083965013011526390003406447", "190.22684030324118017268210974474", "190.303877016331948617494007093895", "190.98680985264546017085062665718", "191.32209713564033658840127400523", "192.30529058678754220977021059993", "192.58791501056932404659098383444", "193.88365901581625340852151009830", "194.47029235247375256177352498476", "194.81850251735034739328467455568", "195.62850660888101275505815229856", "195.98530766247209810476408442657", "196.76720752404715626989782620617", "197.20030613965308693011279998961", "197.820686635135123724300432998", "198.30727805999901900297266389730", "199.04637770733172872001267278622", "199.5303336365585988171053083470"], "negative_zeros": ["-199.97787190782666376193012824167", "-199.69850623722015175165100211415", "-199.23744723272496087242201813592", "-198.43668131896335327014376749338", "-198.04602051150516840397312108840", "-197.406069415392998335808122600945", "-196.74920726901879951582392415993", "-195.93361423323740456387085942825", "-195.24936108656188782623908969601", "-194.59553287021033350401082879654", "-193.79362094266430302985005752610", "-193.41190553432955439513210006947", "-192.9432841885192091218560713947", "-192.11344689131171448352593436972", "-191.79210868170713627426874653408", "-191.482774097223461150316512894660", "-190.68115992220078275577832010835", "-189.90258376241139813990115306009", "-189.267718282156497745599467191613", "-188.46079897695415644775962411081", "-188.35566145261657432038329147599", "-187.58619371926366537155433312471", "-186.80976031081586774531879795696", "-186.329387672945319788861051781774", "-185.40180791498145181432875551987", "-184.86231241261306961194979237450", "-184.45742960917695623773057285279", "-183.58019918208763707441374493420", "-183.158324270564272507538576205396", "-182.43554338013726669799708460934", "-182.05931904201451357170498574364", "-181.27279012040724408373618460249", "-180.76373047974693792417393676974", "-180.36227222017198385966139829622", "-179.89385204601304163560400192565", "-179.22267617333142934068158305675", "-178.24175151387436731259541712576", "-177.43675654355537583963452314310", "-176.6892363962112830261499777673", "-176.23907327692114451487935718686", "-175.88989557829959891979017667375", "-175.25753386947010069656791211069", "-174.59482334766432443691136906043", "-174.024907892153651535644910960", "-173.342791111056235843851757066068", "-172.91949514656686563000195780194", "-171.8501469958244047715789994851", "-171.68248324490004151601154543844", "-171.28034252260794304081430698360", "-170.13771942903089030805364437833", "-169.82512956200244093875759737866", "-169.32490811527927273905837553930", "-168.296242843054600578712226610283", "-167.9616675944222283460928228119", "-167.17779072342447655343592748080", "-166.2855592396212465133419922557", "-165.626041292770231692329071118758", "-165.389656753085908258097593190033", "-164.61635913982291862043510380883", "-164.154193854027139289892107518611", "-163.85118529002441504590891845894", "-162.979283024633704838265764719656", "-162.52806501423165294416977235190", "-161.818187370992988025825296617386", "-161.003534977831416662268024007694", "-160.54249274788041565861015382410", "-159.81407926646234605211867627968", "-158.9860029758883536730713876485", "-158.383397421998506355224979497552", "-157.80836218936257345856513003817", "-157.307279266795874536022342064170", "-156.70236848543697882893016880146", "-156.25121749166070170251878063775", "-155.46999766788819504559590797400", "-154.719384814007247472064233228052", "-154.01610936612926097670341501250", "-153.72023380440095644253452815210", "-153.00132171965144179862522695172", "-152.61764377446980630148086452188", "-152.021611977692959485600952829134", "-151.424230397542894345720105326087", "-150.4240262431700485231315604507", "-149.45090002725790711874428536098", "-149.128773820961702651207896770321", "-148.4450518030045308727303216084", "-147.86043020549618109032734641492", "-147.41807736675563523991178817820", "-146.669659687460650391656991336876", "-145.9513872379352425513926546923", "-145.85043193921724023990365322883", "-144.934369531251494516952176760074", "-144.52975035752323599179456000247", "-143.70179718713207672318606380576", "-143.04076632876353677346369172132", "-142.16050325873467681784558073429", "-141.90837861334069656641895204853", "-140.91178262290803289747225154379", "-140.52049977827797162833321136050", "-139.89704094520489538313389450306", "-139.3020868222146985659565038698", "-138.151445553084606915265853518379", "-137.9736100372156717880838203490", "-137.33818668749565837499841491882", "-136.609927431422326170720032326844", "-136.124901365866359627226347769298", "-135.77473206323541523271832256084", "-134.79484056069145561897920822091", "-134.46971532709084538529767862820", "-133.7086866449700938665181676527", "-133.28624899763147247087489870655", "-132.068155538474661688343823468950", "-131.41320483813473373156974876381", "-130.85475980067235905737727827161", "-130.109319370857554655625597438728", "-129.69172667364541796310998002229", "-129.24730237082980474542522621105", "-128.72836268459805860707604604227", "-128.004655412855602315011012694658", "-127.27900727231964437286014613775", "-126.57282200164838331632309920808", "-125.82858194957303419138483621037", "-125.563410781361408126120802252542", "-124.717346583956918208671518083641", "-124.49900938347542839086684196420", "-123.33634550535254164710256786625", "-122.66896762040605721564669235824", "-122.189235891392063463399306005492", "-121.4256122871727634950364575625", "-120.60843484682723608441756321235", "-120.35498935422594466323884541176", "-119.35536062147185622810989139050", "-118.92120342598846980041909168641", "-118.33118743424525887030938281803", "-117.86838502355242232683666468028", "-117.39093322553129406747297341509", "-116.66361750199266312976014133960", "-116.09549812595571613293168872284", "-115.090971339231025253276142467427", "-114.22616854506253126388549501344", "-113.72780264756429404456606680228", "-113.21893953366693305011927344001", "-112.47605891915935753304439710737", "-111.78819655188731063042028437988", "-111.45885871857388837369299549049", "-110.60769019180609109683571322921", "-109.89580380238166551615453309994", "-109.57207956634418976687549591027", "-108.70586342814201309536062781615", "-108.07001601533030943166176931180", "-107.52377735566481614431890089224", "-106.91392640656779047753450016376", "-106.34362395512538436539584435329", "-105.71290187104183513752040002361", "-105.00977089164180055143948311477", "-103.896012761074263927292037303287", "-103.22284069395770583397982527695", "-102.77917581047319533940375074452", "-101.907188087965744030185083248223", "-101.840265107726027027367625239130", "-101.10994479891435928562041782420", "-100.3317917057729503571569230330", "-99.92820861713918438819593619531", "-99.110523719033479290819744419079", "-98.45075138176960149178651708855", "-97.92249660042718773662002697881", "-97.1308481372700357633995072659", "-96.43354122483584478936878573485", "-95.43694893984051341881888231297", "-95.03091080240347568129604640586", "-94.47789421099900387764684998026", "-93.778879121343441405772525820017", "-93.34935060257344293193466273167", "-92.364719022780129111182892961359", "-91.524147045088492075921088552289", "-91.21062073078665862559847084892", "-90.61960848468617631494738965655", "-89.926195077495718201912661509092", "-89.51398251192694210217568201584", "-88.96335133688173865478830595695", "-88.01883384292711141481825104149", "-87.2842140989280175000677476784", "-86.17524351813710875636016648291", "-85.90222538813186714074519913755", "-85.08573655599832386738413978398", "-84.487725144680269565708730218525", "-83.808533865737459469438896382936", "-83.33114903935414464876203134976", "-82.721760467717831612198526938547", "-82.15807117068878114834548571598", "-81.607648355954626670396945842658", "-80.36902718259029436022832638239", "-80.150298673811044789404643232045", "-79.35085098803994366204539473492", "-78.69612012645492132598893926950", "-78.0383444743147742720210578234", "-77.44764110241217035671726429706", "-76.301862731530677086740743559164", "-76.034193409398454370359103250258", "-75.07659942388681694567010149815", "-74.40696484635483066815385728156", "-74.03030793375489933814319313418", "-73.37123478354625002233793896712", "-72.65473324456896767489829801905", "-71.93657254592618936116799641420", "-71.51740202862422358874590052570", "-71.01465761480537091199807439742", "-70.14783076629764725429366793051", "-69.24288452880627050846879219048", "-68.139288561855627654095826228683", "-67.64223439344917683056405440545", "-67.09103709144135551962732195577", "-66.69001877321240565342352439949", "-65.844218612012656311881530391111", "-65.34598696937853220688537483789", "-64.60014276985024990994053015738", "-63.55352237482286617937048751842", "-63.22817277610648805638816970221", "-62.64941856378958053582011685152", "-61.90755459655998718246977863583", "-61.31876672316930010994811626727", "-60.51894517243121554542409840013", "-59.69274018987220157807659969773", "-59.06440189819664352870507024756", "-58.14771168058053573965338300941", "-57.61022466333313433460009632218", "-56.455687750341665824260844195746", "-56.312234423173729553970190073964", "-55.70062864656322287174842340684", "-54.968839586334006357154676506040", "-54.3696935295927729936500009177", "-54.02409823082844714047791116562", "-52.83730420926388348362406495648", "-52.178702448892370932470426800323", "-51.403890473776630049956986154376", "-50.738034252388338928645288492", "-49.721103518693722170405965941521", "-49.451633343975757303533060570590", "-48.37975533090614532393076131219", "-47.977080004427257329132721790242", "-47.387912972123073856780471316581", "-46.40077138311918420467739829961", "-45.86431009017082098255212466091", "-44.99341135863568707741093613234", "-44.488551643153494760703939159323", "-43.87234175330766522562413189557", "-43.25050418443962321518000474459", "-42.74071144489711875150559678814", "-41.40570413693830173817777339377", "-40.40076417929727001455201271404", "-39.91421544690133308729637109299", "-39.25517030873988924792782884042", "-38.77243428861063526573304330163", "-37.94099822243929246872078343954", "-37.35396021586491300846683701616", "-36.64161361703176038735225906813", "-35.905306598149377245298447132245", "-35.32009240711011654427639097055", "-34.37328281825049993618996247266", "-33.713228833718452890908967185220", "-32.75245561362865165241626662162", "-32.00717953223232199089593650900", "-31.41395973087372890224585365185", "-30.85353097243962734329165795397", "-29.65368617839459841993016692631", "-29.04303768621643063912735772461", "-28.20893596154518218571854432351", "-27.793042670146284113080642782863", "-27.07449005868297026772878788857", "-26.562128879899084381799280526872", "-25.47822677592385313106000688294", "-25.09173644599249410362961251517", "-23.87499299673314241165053963063", "-22.90878205747394698212792162068", "-22.17349701309665786321719788086", "-21.336041794607447641502937514631", "-20.76085466005080178560766694226", "-20.13150344401094607726997498684", "-19.6121095268785299582819792390", "-18.57601083128718639855817124889", "-17.65807728359942539350790894762", "-16.87580725732195883630702938943", "-16.13000037760231560802264798385", "-15.83447476490171539007314729462", "-14.478938988915967871183240101568", "-13.62284739351119363238683712393", "-12.62774918029489249065733425615", "-11.803817930115744038772240287888", "-11.26138419589760458605691387613", "-10.19760337934258238379182967405", "-9.49135307789550893140288651638", "-8.993439084868456225303376236342", "-8.03766212289522786604392285111", "-7.37093096517356423753207451974", "-5.60415863641205185820003134626", "-4.91197866709319335172377265547", "-3.828906417364485516789317799836", "-3.31737368959522368882465864052", "-2.0028619496033129898574307851", "-0.77138954204028631583063542655"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}