# Zeros of 1-161-161.102-r1-0-0 downloaded from the LMFDB on 05 October 2026.
{"order_of_vanishing": 0, "positive_zeros": ["0.213758078029453574263687948602", "1.5547302337575549757478420718", "3.09788725817194612245075191045", "3.90826292925475582051293244051", "6.41080981003168171988332641166", "7.45262562800983346069340418296", "8.40583556646356338012926336080", "9.10952342911548455962916943260", "10.79921408459363614982986975957", "11.632126772781606381231867078495", "12.57934762287396932601955355087", "13.61943530698331361400862855811", "14.96750628804425329618237129945", "16.12233559667690700626299416599", "17.28022359011270645907384036342", "18.58755392919404079359137264062", "18.86344936417285932234997113585", "20.093044313071239910732967831694", "20.44063229873374630304408856009", "21.99389515943662103815746323241", "23.08180530678951288977995569338", "24.23698504203541630974287292366", "25.20668210475663122894630664845", "26.0614200195121534832282988456", "27.13132049235944302740614607889", "27.687994306232164229287825032692", "29.047446731718405236659247532644", "29.84412944610405150770889466346", "30.6342424762648238659642881275", "31.30622564291121720386090965366", "32.29794101067283326731974980531", "33.98761299521725200750201009893", "35.02485431522581631612605225735", "35.51017057672294085680648474338", "36.16337651261171407867612567247", "37.4905466729992978731729643344", "37.85302356807603362503340032607", "38.8232154013540767867315477973", "40.09642499280103184565231360863", "40.524978006362341924804127570603", "42.20818773085631582197385086148", "42.73460731237013414824196542649", "43.4522765908064129984346691784", "44.59440132875048567094785604795", "45.65604750408406784974500831614", "46.46575953762859086826201404318", "47.12477523079189026442716884770", "47.79026321163880951624090618628", "48.63136695196062249349291101890", "49.50824122021557264884560058409", "50.667029331915765531819823791063", "51.7843672311085995576572507816", "52.809644269610086820194286456172", "53.562400204427259743269930398521", "54.07635605307325911365721121125", "55.13796080256628016501360285799", "55.42621074590764884334483887564", "56.84472070259250223950741465514", "57.767809418532734343233693284013", "58.30970221440812757920652878546", "59.10870635785657883434377603071", "60.06499640410112122702578003097", "61.35192386045230711322282229712", "62.039372370663296253152713800420", "62.95029384040162068294364401651", "63.7984153173783655568649888831", "64.45206565426016641191224421163", "65.300496840233406697154912802729", "66.03094972854084845927364209603", "66.64399925962054755957467216270", "67.37058956910864721590966437768", "69.07308630879774401418324742939", "69.7037474812696633046491114705", "70.56616856021913680957136091702", "71.253233653922706611345302712050", "71.96734740054998188165617402547", "72.81155619527008098861120023743", "73.93394529594386140460245631279", "74.56785002281160778470804316030", "75.06337768735893441053946444363", "76.228913061854334717901099660032", "76.83280349328284917115037393035", "77.58942864320587919923595420876", "78.68897100992832338011922168412", "79.81090516222387866087210269060", "80.61155645153812086117280617113", "81.49537735906943281008705340179", "82.07636211759419375912371168554", "82.48659650863402938417716359689", "83.32950056435720249818186521436", "84.41421787221800738622931368730", "85.03650878340167373211978148670", "86.075026857452088236458651582102", "86.826283391560975463127514204660", "87.80925564316680374589472939778", "88.80447311326996951334689124411", "89.47280008990992484246090634481", "89.8759137583751437562566956614", "91.13170558434811501677339681989", "91.80351307951086684492402206240", "92.78101065821923769830307568685", "93.35376071685228471414923479403", "93.78447351228752011102274176795", "94.65367066328395965284594681421", "95.48781259885732047112312655114", "97.00420615107561649369991349969", "97.72601188984909782743859635909", "98.385527215018524827182673864316", "98.939343688242278101150469410026", "100.06110462536803724143461433372", "100.48867795687140825967241969838", "101.189797813019747004839530184743", "102.09193729017431855293741077464", "102.83446780856013714329014458797", "104.06437382007491608610540251014", "104.25312707711845820840523353013", "105.55782253428833194877415176222", "106.156993615451548932456471910785", "106.83377827088327496267386785268", "108.2374660674342386486059996411", "108.8352329063135587024497541652", "109.24554452854573508211507814466", "110.25003198292880440930066865745", "110.80794593605248535441544510657", "111.51085990364106162573259840429", "112.23982673990665045787292855535", "113.19705638961554039004073872832", "113.86215478887358598078491524996", "115.38971337824847339752669581803", "115.89146992018126986168367016557", "116.69593858554447875105564147207", "117.14358296627005880849984886976", "117.88891848665869307160383549441", "118.707295276951258129428328754346", "119.60712668572885004701734960430", "120.602055373238505859337941737311", "121.08163259693680437201510664365", "121.63752386464669094715441037053", "122.38327872482347489570338650413", "123.62100275469066375052257572861", "124.3061403740319343562278324392", "125.2558733941451347045973054221", "126.071847359117875750043612771738", "126.75919562649885510001278302496", "127.4640190019295302694621553357", "128.395694918830259713348519287875", "128.60548208948423059929621776086", "129.42492799591001569415525020819", "130.10546026032027823076840866220", "131.332495516799831149540922760658", "132.12677969582183636480586865420", "132.94703246667412890258961127310", "133.75520997210142774237527148983", "134.26855339557255935107875665904", "135.44876896099005591245806263655", "135.67382215604083305942284408412", "136.860341674613404346202780969468", "137.41790598156291662236590202454", "138.155100651337380510601177103790", "138.880909360367785383240333822186", "139.74279480820187375709178019229", "140.31009484996263721180125006774", "140.728660629049868325121700428481", "142.302784386115987840212965287132", "143.14834655060361011093203285913", "143.8985179211184087932450182242", "144.49035432237863007259118278709", "145.24345846977816898912709463804", "145.48411518374280084091360636497", "146.58404848515907674419192442328", "147.31265006438183334302079909428", "148.068035190524488692822216994281", "148.817732771102468112578140753026", "149.4793910781256926970211983128", "150.60830866856130922912367921221", "151.26316602797509981645091898938", "152.06181561411857008089061621399", "152.928243451940940859519800960309", "153.19278639803295554701209885959", "154.572617811527025635537982383077", "155.30572698263865874642591455665", "155.832718451565377506315321750369", "156.09258886136934983306871795850", "157.291247262036490838722658457755", "157.58074473555412228596259828515", "158.46120434502429008161577602307", "159.76665299201784145237853923435", "160.57682108031518902997846465375", "161.10842657071978801283036151072", "162.05761433647100664560739836006", "162.7390984522595605121455757650", "163.203268443660450578982758465188", "164.148430634119786070075327749701", "164.38759872661422554813267861318", "165.65663861612508165436156876547", "166.39237994594255970448941233314", "166.93185698972876469991581612324", "167.84256995101192597606992570332", "168.27790208361257226492685307597", "169.26387576859978764838389760323", "170.2640348111648794370741146456", "171.15090738145224133785336758821", "171.745476957971731042333322955740", "172.458200349117150367496308526005", "172.98550771579448808434220551997", "173.85063456135969564958549661489", "174.45464322206040265454055476396", "175.19810258260888827791004588215", "175.61421728407603014813076111051", "176.6873992579087346153767093830", "177.56257627535608750608441433193", "178.82691476902441158488929090083", "179.24242891719811633243534006617", "179.733392915525142291951796634865", "180.46365404081881263431016015432", "181.192389748383174644034001713903", "182.19245651735683623853139449163", "182.77207900768009751912757253835", "183.589426158315171842846378355411", "184.29234608621028058806912969703", "184.637451843915287852926509090608", "185.46043095242173717055608957360", "186.5274597537892257885040503180", "187.10878988794563548178534288374", "188.07428310254102626844803730865", "189.04261868664607148849061016496", "189.79351780271796001370564869637", "190.17112648829669660295524867050", "191.09628128397307099544559034689", "191.479670231604564069212556203515", "192.27272512175576505707820308911", "192.64438555793530380132028507976", "194.145023030455900572785323966753", "194.40788043845015014781690783895", "195.43817765213487990279371310205", "195.921514701515204740900114558143", "197.180700740677262783018468426814", "197.59626856561325055487295929867", "198.270291827504328977844051192793", "199.182654569972696713490176424192", "199.87642819684653881434548657875"], "negative_zeros": ["-199.5849795967885142258348638390", "-199.239907601923555349705014233491", "-198.39759576365292645054676650292", "-197.92882218764391097190678793135", "-197.181717664280764126764758149359", "-196.47396057584606246119654353807", "-195.61371425513091052947531350595", "-195.002302495164075810981484269234", "-194.097007054743809313269504671422", "-192.82486103637685207518327159714", "-192.34941136856077862042300778689", "-191.96142037687067300254409499794", "-190.900846633097887070663290174600", "-190.47740996291718269003164057008", "-189.86949786002783476689745947947", "-188.39406657520968825616003667977", "-188.16797090197995937784160580832", "-187.505446435571853871257410938828", "-186.88982891560037580390218429985", "-186.22408939550031685543585559754", "-185.322660255940254157155898706102", "-184.41472885660689238948339765544", "-183.22947855005672051059534805225", "-182.875991164570108822335256751320", "-181.98781716133155288229282174867", "-181.39672497189203172630353691237", "-180.572290493648429027995613443930", "-179.92187651539009829567156337128", "-179.515570275144613451244847488794", "-178.921279946669365928295575027307", "-177.55940788599903233620544838012", "-177.16322489212908175901363918470", "-176.18566541236310045498998138026", "-175.21796864044848993312863745576", "-174.9028934863313018152709709831", "-173.9552216452178068265242352883", "-173.08297799241613942747409116533", "-172.398235852094682317141917023305", "-171.60868413230379798480019814434", "-170.96313030897232799123998347665", "-170.32099139040277819337467280072", "-169.587071358598017080596528730158", "-168.7603843453469241699229795131", "-168.33379242024863019005192125776", "-167.66211419613124686225742498314", "-166.384710918389271758750181618097", "-165.3503380266269923303570203458", "-164.5966699144143550287089751797", "-164.10919758211411400890730767600", "-163.51701352407126114213805250880", "-162.92546841959253209058622460784", "-162.06589469986160695092914361332", "-161.26639331073537416637644605590", "-160.373826291420448328794478902380", "-159.933936525317429126597466787886", "-158.82633835572653884004926246561", "-158.644615637086375900309448505490", "-157.225132243129082242245994434168", "-156.66073435314925194686326895619", "-155.783207157880209986884376411915", "-155.30827271667267988428410961727", "-153.94988989873731319099564940475", "-153.504648081717456281758073599531", "-152.93134401958742699022102527908", "-152.180436864748853325156757454905", "-151.61340076013378885694634469310", "-150.933656873294245470762781919755", "-150.222691584206922106430943525106", "-148.89035943959327612095118030720", "-148.108244934756022185294265312", "-147.57853312439907598284119875886", "-146.500747547648955095348450314", "-145.91171587443331071699540978484", "-145.30260982206959154963236432501", "-144.70070263519706375993783914435", "-143.50123143220567380919679487242", "-143.31649761154824985462005202745", "-142.04372182542966025321658213922", "-141.49469284137359765362215586940", "-140.79616434221010092128093450949", "-140.332673925137704478799365185703", "-139.25441466443921615923026770676", "-138.11718226896055665982594758467", "-137.209398353878078416988302314872", "-136.66167908678410883386048520698", "-136.01206091054530919814155760013", "-135.29512568436179840917571135049", "-134.66682125433192208257371128227", "-133.85842883563348635427127527635", "-133.09940612972600860110041892893", "-132.54548667674593174435510745105", "-131.58052260418519411422230167948", "-130.47252670774131760262168628860", "-129.69876297738165256163425970018", "-128.87127001869222923523540611345", "-128.39552625662670349432804027893", "-127.75506587219937733094457189617", "-126.6028221838705496512486119974", "-125.86421073524812606752088315720", "-125.12931862750408707671531429952", "-124.38047828917256263348793488084", "-124.07274564508359072567774797858", "-123.199194904172381336260221214577", "-122.1493822396845123343945833595", "-121.574351686892750030964475774799", "-120.23107429671953756674032144688", "-119.40629122685020044683366521918", "-118.95601724507664328523741219374", "-117.89453321928521364733748390126", "-117.3941458747876789468518503861", "-116.83873372172964479685169892388", "-116.245850410826612899026634509219", "-115.0821884072862873680695499623", "-114.11281669075459396178934215756", "-113.649476497669858078464290464596", "-112.879378456567598930406646366740", "-111.77625120776891126580701480171", "-111.164608598001993065563886176921", "-110.125946911099162411546678374684", "-109.37854635251957794694351952658", "-108.61424525604779730149687763699", "-108.0536812120789003456387777031", "-106.90138742139377446552999547951", "-106.304686155918856540411528323393", "-106.11645968408089213942508759908", "-104.84840721778017368410613709901", "-104.54738709660002468193877938242", "-102.91000254170293201103541196001", "-101.74375261013965793702856967824", "-101.61888890852697534202979175908", "-100.76770239189377430607408712384", "-100.06640809923668683902308633092", "-99.13913466206221824965294271644", "-98.50733018129568966980527615808", "-97.523976579151848207702442199965", "-96.83104723087635731211437302766", "-96.20360172679359278804858595020", "-95.21732609672869781395550795741", "-94.504153162516046912640948039294", "-93.48138625259283684521140948189", "-92.83061210615922237097124655344", "-91.57225217836409360284554174736", "-90.85567483299915823285013783789", "-90.01990295458058488048943725832", "-89.74831607230605731983219193314", "-88.89818377338107515275468998086", "-88.04996792763303064278563038441", "-87.42923150638562714181090283514", "-86.19778826469619622617785121234", "-85.52784228039522153928024513827", "-84.433471124785630149485442979916", "-83.580169571156479880924778683766", "-82.70276664679202248671811179190", "-82.266263975756509620414816104277", "-81.549489487018642092075647904", "-80.37851501369096988895507110770", "-79.571758565175581939953334941371", "-78.91683336097563710461163037598", "-78.114752960715363002049802470220", "-77.43701427804249362714950022650", "-76.98598384023868707640304873468", "-74.99699436050626829176853483522", "-74.723293118539640889203123467064", "-73.53934814593376081060128972502", "-72.93182031019779601852372688733", "-72.28196865611312551263834547486", "-71.40262530320841192227888111457", "-70.58973713493401332108256017417", "-70.10317221160632772264881394552", "-69.06717472810162287876516586726", "-67.97387323355229149266234203109", "-67.09106078892153462223363872554", "-66.271455000583780778646556622672", "-65.49862997718253259335347481136", "-64.64475242489201508882450033533", "-63.67278200259938052223574216272", "-62.60132495998408367873069055142", "-62.05526151601997709169558056397", "-61.58343715275737840730850586980", "-60.43989312494325518688141226182", "-59.72848185198787967026325398161", "-59.12694677059382202913668913627", "-57.783366467585155921224012681911", "-56.58466017021150164921351764027", "-55.67513821573100134683008942180", "-55.17495230507434780868601565102", "-54.35531112065502747126970305536", "-53.76285286038165927772329844003", "-52.82120156056341758858542621699", "-51.542581087701254356325694397066", "-50.89128222413751885154175579915", "-50.37281006635548736796081479829", "-49.23037531298828728196800687502", "-48.105104922079377879616102271410", "-47.28911575526746800992640466154", "-46.20729977122737093331211173990", "-45.5464317247688415319350884772", "-44.45179922671083451291566482662", "-43.708519590433889397222864878213", "-43.06792617492504326852684264133", "-42.53633258662102748294972691082", "-41.3973128189170795204037546421", "-40.11709224578472641049351706881", "-38.7806344404767110191489785058", "-38.3832922835879203477779729780", "-37.4654639634806204665771499513", "-36.43678164807104714428326961349", "-35.62069290933777700280857095822", "-34.86417466054838591465829309468", "-33.66585131553388522538323042431", "-32.9811333986771134818123248500", "-32.12951789977706042832480439745", "-31.16198096247493247701649243918", "-30.201269843293517801319971243387", "-28.30909964650235513010608605185", "-28.07383101589073923243636784872", "-27.07628779316268966706363022581", "-26.27119350013503773346704360528", "-25.53130284110921353193199833895", "-24.42662248172613435383883049420", "-23.46982959024612206647613744603", "-22.442289876647326055402805841080", "-21.06530088552720095843368017632", "-19.82687391927811500962662374316", "-19.62068604092014141004069164200", "-18.30491135718910082274721140435", "-16.91781130449127180910636325725", "-16.24428197191726335589404719278", "-15.14400531361443813265684195581", "-14.78241344158976212748015889430", "-13.28037886282747722383937044342", "-11.46714019807679241118525121038", "-10.7182538465666544712188028047", "-9.28987261387842616484964317033", "-8.715617291216065731990906897659", "-7.64370972587984011584447259473", "-6.42778493166778910715499189680", "-4.743420013948561463508664088663", "-3.8096411496495913399819047013", "-1.85055787992179845002421033547"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}