# Zeros of 1-161-161.132-r0-0-0 downloaded from the LMFDB on 01 March 2026.
{"order_of_vanishing": 0, "positive_zeros": ["0.802866696272522296463450144293", "1.88634489203604345665169947988", "3.77566703716867311987496177939", "5.25568326158553464494039557899", "6.47408877675984108838068349951", "7.95083910928779547301472746357", "8.90087031056658487446545686986", "10.09573315013369146658078979317", "11.263454122043851061987087253584", "12.0204995228708000408241993803", "13.05330135058468614934910858605", "13.79244872037721486880691126122", "16.18605138015820998535351231195", "16.60321628825596102455021783879", "17.67770388522213544950904151899", "18.4286122664025951375335889298", "19.439753706000747548209577755969", "20.54392813363357877649857240136", "21.40775516826510842155590746309", "22.41617829856523798837157228761", "23.42799393407636405063552909855", "24.822519445899349920743594757786", "25.19623428275171171283767811782", "26.82728767262370656827077291882", "27.73859367160972513141268030689", "28.380573120491348494357238399426", "29.334538094628561232383197598585", "29.805064843067692333348987442212", "30.92189675862595838142219593179", "32.03379375099577418599856025139", "33.217798959528279983724122452505", "34.24308431165373161896004676075", "35.44551210133015034044440628578", "35.666050859443021765269552706357", "36.67089327651363098093927773266", "37.64323012385167724339917185306", "38.56671490101086415034399258137", "39.851866393612027727167333522758", "40.18694151961072458396928893303", "40.76395249775587375933606973262", "42.19954180474991560451264064788", "43.36478250789981250479212077156", "44.37554973115887246426769900847", "45.2552837777644992817610409084", "45.568898328521901350551536436799", "46.95649056215985741802033893064", "47.31994156510108122668815314140", "48.21332655035416101842143731190", "48.93527026447086201253534213099", "50.32689277271662785144101093566", "51.20145016182511123875177560876", "52.27921352773043792921820239233", "52.82645147765034920419401022890", "53.56894450935950220140061363465", "54.77041794474953396064806606095", "55.68510794954396553417741606823", "56.28038855062497896163934625244", "57.02608653937728084164144251937", "57.895988525618558125489802391716", "58.67819135746697164988510739738", "59.44157518466808265915454178117", "60.65133496993094055918281493571", "61.93883681407566167839104151558", "62.515146912249013544504067155103", "63.57312078783198076722787483612", "63.796228490063058677056069827236", "64.670921407660412227918166736873", "65.42053879033296001556807867424", "66.681247578669276325816927668709", "67.37328411680181938315468472605", "67.98761407447062057433922453993", "69.08111304229058984813505534346", "69.94448822080653336715572711401", "71.00728782353176050972393312809", "71.68600937527721457975771351196", "72.37531281058341689962847820467", "73.5749027069857739921506667352", "74.19832098501366310115254803432", "74.93771173638140476296732470631", "75.401560562473147507971211350", "76.42160251994715802968827460189", "76.85827665653224865050828843028", "78.60162014437372699650894120383", "79.38586841950874370511276529711", "80.14697730713028384258257132109", "80.564059421130413966089909323318", "81.80481686656011934773603675842", "82.30010968520353419027430255663", "82.92423780530912102899203476633", "84.2058780509463931552284276308", "84.61292607500830873025645712531", "85.5108891840205196459333913717", "86.50733167158745673867645662073", "87.08409088344190933179634946122", "87.88302852343925506673621454448", "89.207816619060919791338679756336", "89.96506203754309524845648914579", "90.85024937794403347756300712730", "91.42535051722711817251295149431", "91.93859861501225545221026049097", "92.80761504939681180116005249488", "93.59258422298640605470264866700", "94.30755524396405782628215146024", "95.295016879086288527091969478611", "96.041768025882327909097708935078", "97.41529748920771387102889342544", "97.96723805116744603891247592037", "98.646109287134193003127692587640", "99.34467744229841940280238886465", "100.01364928713296075640965947878", "101.13033586861071165343204987978", "101.97585897258508741724759009189", "102.600343522123982057683206391898", "103.16846474093275143752013782019", "103.87307052781538592602135721160", "104.60978546312117542193625783734", "105.966790343670741163191226469116", "106.74541917927460493861095686892", "107.59033172017123256961548955034", "108.45195282860340569126537316604", "108.9298123218883842474009191713", "109.81695457400241278199675977943", "110.44224506102162175113465805842", "111.11137491381358347077606370341", "111.65510556322184287168746319622", "113.11756468799837898210622185732", "113.62115608402652822838284067958", "114.410469807835961278728121824509", "115.36526783363739348946763251906", "116.14395974085741311307465688117", "116.746615423666674055785581543958", "117.856491618690399532257502289596", "118.75930358465636987765640219203", "118.94494992557225088743292646992", "119.929150531456933769323597387008", "120.78404019963593490222310488810", "121.381061391528570666250531885703", "121.94451933928342364969644099942", "122.72742763597223027256988836917", "124.00684348677843645027604042035", "125.10092053409733923446566548749", "125.75472894655461436866053055686", "126.24694745291689696972109062236", "127.07488769923321324316994231755", "127.37443895612587965601033665608", "128.57486939069783185971044035617", "129.29984274205257575582074093811", "130.0097486509868285910845813449", "130.8705081894858702511030739335", "131.35760211782142538535497017548", "132.25302559635999149241319854546", "133.55864028003404804880902419821", "133.75304106723183635091474779642", "134.81063814977208960457682152432", "135.671026693192769477137972791701", "136.53725099445775971308022517578", "137.15122217924404288714811044100", "137.84770266528512663464044276101", "138.35425885375427164406494482188", "138.87840175187616601255777904397", "139.9873431516657092683840437781", "140.62948547369325931104871564967", "141.95088697833537277243046619424", "142.60178177132423956536942304801", "143.135936181789640380277728761205", "144.2176561695380239673013654181", "144.80124872846783088123146414814", "145.34113112682501302364752204043", "146.11532272075540771348721838997", "147.018038204573991947318554776086", "147.80538726378782849433371489007", "148.57409317728090610831300308040", "149.02708487311317915110282891813", "149.99477869312385342196177216893", "150.36022640374478974191120557674", "151.61685099384223740990892604536", "152.90456755011820415958436370682", "153.404477511733052125878652010261", "153.650729849954877044503418059423", "154.81074136643977466880863194229", "155.37100108300557984114197786181", "155.8165412184438782624937070787", "156.80831415954861039655146753747", "157.479019149645378117859346005757", "158.14255279315588373823788803299", "159.003125361876214651132739092455", "160.31062584937861415503380739021", "160.71876241292779765442790703348", "161.44210298010404305813487184317", "162.23769970404641673156345360102", "162.7308631307000324245656583429", "163.907381187826788751190254482339", "164.554343439071387821022389416842", "165.38241775028801352966200408006", "165.715172245546574039244352141886", "166.42973588737021096196005615482", "167.16078863963935593623709192284", "168.0573388183510947584330264826", "168.7507609335168598565722127409", "170.05160322663531504072177973061", "170.54128110709569977123317070265", "171.53049048587063402907059443678", "172.07050488122605937398636610297", "172.676627095381124586721375958044", "173.3955365777801159600561703170", "173.846885641238632830456374358997", "174.70357245560287691316451739486", "175.99034165363528353482491083521", "176.17385304179429705976105030775", "177.25263498679130155025621950424", "177.557324937002298814194216278207", "178.79949203140333301437189091164", "179.52780533702445730159505828707", "180.18993502987306573218950510810", "181.138161302116067345441506995647", "181.6794777443944218662616769885", "182.54245153392265630046082735066", "182.966819900356546621098678450762", "184.01645006981892545942253584262", "184.52108096408343691668494264538", "184.851787075577511238764104285741", "185.650443893431951118072503026791", "187.053975141138999327191509292184", "187.76349718640914399023856023769", "188.75937979206135451858512140064", "189.17032168238654827259019431861", "189.68562270024030488821459842325", "190.4205500736105686637941356162", "191.3431788189635820986211363204", "192.073378137792992413120846882275", "192.62755574804969013761476757745", "193.533564872539630750318417177051", "194.02723710427677308419707296693", "194.93353837328725175027731567032", "195.517252772402392984268760829881", "196.3949415313679270859015009879", "197.31258045095006355478011294404", "197.87024869764073711372625398962", "199.145920667420430399714822375711", "199.610977603846779925823331766126"], "negative_zeros": ["-199.77993305830746373825148694247", "-199.125685118144227451888343468996", "-198.524267027078273556503895686222", "-197.86225925436194286930165852729", "-197.27934039669455262934814420449", "-196.44171447877676614954411439903", "-195.36660145910426758012205227585", "-194.87413460602464273293370725811", "-194.25979139320599005201608393679", "-193.243272077567646673428149395398", "-192.58605843687321058858152625971", "-191.96435820028661082301522983674", "-190.585040991897215564396731728", "-190.23563527688091614312384662917", "-189.70710499187758078083940979884", "-188.8883825446917359856711982596", "-188.082736740985943652636089397182", "-187.60829834276503675089515428933", "-186.9291273027296396603118189618", "-186.1134008206798835756407404707", "-185.49915476082824341132149933436", "-184.28925249078378020213237517081", "-183.256789178559427378702894433346", "-182.57637681958525121914119613830", "-182.33351218747150248982218749473", "-181.46382704147233094432135074167", "-180.96619387425451374138951022487", "-179.85907003979291812132151344333", "-179.318330202141727249128678057731", "-178.30718783607835266437856153670", "-177.837160611656591436343004909642", "-177.220542361448471376968015681163", "-176.627419840746589478075171175", "-175.261935472420493833022842211196", "-174.89417457494094025284756474785", "-173.87606992340890787506060919239", "-173.02510706226284918345543627932", "-172.28212637053204610654436387078", "-171.627271650117321834276241738324", "-170.94926521487584023709884164983", "-170.3365622674141068747440904795", "-169.83023762098442961229980215340", "-169.1510750804577089813072148051", "-168.09049448347273908488877798562", "-167.17343939691252614307354309360", "-166.481688661574855768468054842935", "-165.61172947702526912021810037053", "-164.952476365706224640600776215997", "-164.11098689880462283497581855243", "-163.39884614424566781454166728150", "-162.89472794666104296576108322731", "-161.82143688724128983909168311073", "-161.30726115716349431380158934035", "-160.45820353369867603596476778939", "-159.78666458098414518235850213714", "-159.03260094509728016726620664808", "-158.60795152428472539357695001985", "-157.870506634548450504208021180229", "-156.23007295669776596405378680846", "-155.74267171625624096842457651039", "-154.836110936322035032804902435082", "-154.3897831222530894447165577071", "-153.694478197435722588517344423649", "-153.05802006590491628510301858114", "-152.22156097124565974840719231343", "-151.54816423612952063761621679897", "-150.52402631646178990498980935604", "-150.29886454875485879001027911481", "-149.09224184038570164306920969582", "-148.16898980007694913624714566985", "-147.60234210616145198264679429596", "-146.71289318446084714070086551000", "-146.032952433203923097809228874604", "-145.39755063421670517224134841084", "-144.064125324200198687341118136128", "-143.61527088675035339389586731379", "-143.04191051171964147945890364933", "-142.60709244646691593523105718154", "-141.50595886499520617382198217955", "-141.0920234905560465621450337797", "-140.174435192129557222646140078989", "-138.93693908930328847532779711224", "-138.25660019103274975582704039018", "-137.29994849522431872755812861604", "-136.80209531087463793794495712121", "-135.79426347766584710924174584435", "-135.45727211219358865326535469743", "-134.88623949443902461780166891896", "-133.85247501622181791633133482280", "-132.88345973914252472394890479065", "-132.13595207911860681991265555605", "-131.77146281449343664158136055683", "-130.66344032843932611976380588552", "-130.27890333289076177299190545821", "-128.84300111133831368850299258434", "-128.22676171728734506671644170231", "-127.33376342192212665757298654167", "-126.62993433773834418965622177494", "-126.10463596392125709888844905825", "-125.19655630735604449023486821681", "-124.41928566386686405300421465698", "-124.02315187600757347266068997044", "-123.305628438022374310880672998559", "-122.33851312987297696665756201738", "-121.21473628705543050420724824901", "-120.20727632458366103885649410919", "-119.474538642350385862834428331093", "-119.143338080462456108930699994325", "-118.36776145446239419065374076974", "-117.27647693794988357245462353656", "-116.67721249092193468329904716721", "-115.74365960994500903464616564567", "-115.15838410227317177955884004816", "-114.408075466582552336785048627098", "-113.74310807655755331484233561505", "-112.93017725036160940546089265073", "-111.9068771342208850650060155522", "-111.24825657061725041776534019481", "-109.90163739804795972782533060676", "-109.25191682236726222176003443916", "-108.60528584817725640077397641794", "-108.049031462221249353509778381519", "-107.2552551594208808398211042110", "-106.67661905501767567076034626812", "-105.88038493844065976260714615722", "-104.66863663259529936250321555891", "-104.041573514677876162272667598681", "-103.44352166859958362029451444920", "-102.16741921710396651316926542711", "-101.370877513321493027107340984178", "-100.84822438083239026219268637579", "-100.04319530851021435508310978378", "-98.98316341854587259220729762354", "-98.52164489581525310189939837679", "-97.31386142084824712998735683493", "-96.83773785079363952493374572357", "-96.33153584277510201083575817585", "-95.56079147568162149868387524947", "-94.753526024448589667658388366703", "-93.16433115517494153783258296985", "-92.46311917709944284082865470743", "-91.76314401735707781259995686428", "-91.18426071029437887130938110555", "-90.11985524949305798398456645292", "-89.79483582926515783497094785359", "-88.69159530365264470639615949770", "-88.116951658424847164110668206478", "-87.23896341482015976595612717868", "-86.23491545811699462893271570593", "-85.52784693878482814901050092933", "-84.67168654295661549011211349456", "-83.79411399956274083833477171543", "-83.058024654523915805599182078132", "-81.68577024441682341089756455860", "-81.34165179038670307359897614003", "-80.2146606541015745745749692962", "-79.92435949191875480012917297163", "-79.23300378073350580673559701375", "-78.09487777595485666082446774155", "-77.51227784727097493946539036804", "-76.738663782402040409332022059767", "-75.15242490296241244937627604144", "-74.65669475365032301258927824209", "-73.59932048147347659615121708279", "-72.833549452066057791486535260221", "-72.54853730267093770496798997632", "-71.67802982860223774120499612939", "-70.255896432872437330145960720223", "-69.78747922523474208613030804154", "-68.95527109231595562415247994148", "-68.3135000086529529809156015203", "-67.52310224457995155969173585964", "-66.37988773613442716227299276023", "-65.19710239586935121681336563780", "-64.455042850914795252876467229145", "-63.80246154586467740895830024062", "-62.61886369339221958163690169172", "-62.17254195105185699231706245880", "-61.46145835958654109608502100897", "-60.72506917437362286052699815203", "-59.898875898399957722467103712861", "-58.73242476723243631085179268461", "-57.56099540733065086383761781585", "-56.92928936298578059888673939860", "-56.07128778763092929591310498641", "-55.20630093714015943623455147333", "-54.323952925660664163793624833481", "-53.372778159014810234972635568564", "-52.67517317052874539235201764668", "-51.794160679758203562519037172643", "-51.054269098741529338337004884736", "-50.08547228288044383806218904717", "-49.65387216732756944736045688644", "-48.30150343715943892828435021761", "-46.88614356354609042321720062846", "-46.011369656662050601354087776581", "-45.63743335748079348825924230420", "-44.835475174186445649029274385", "-43.923193353996303784107391185270", "-43.14523994667489037840840033097", "-42.07483592032967257551434190117", "-41.01082210399297961145193128693", "-40.678542204764180681523339088535", "-39.05292544428417107404277629231", "-38.231077869325829973475541121922", "-37.60553726340414099767792665281", "-36.48263543589947285845551197226", "-35.27560682898426586582566023857", "-34.748434663044334608492467374015", "-33.80880245940128516449571214154", "-33.00760196219540845608721712938", "-32.67905365343011751268166135789", "-30.94372622329238760050382614443", "-29.840443115098990578460408852782", "-28.78235687052657086676966784733", "-27.9892900028774248450203406688", "-27.25560394149928335789126798967", "-25.98193699697998832301990384861", "-25.79251632915681651094925382655", "-24.20825922769926711632978129349", "-23.33378689915079100041124594065", "-22.473322369514329938518938687998", "-21.638085326164475092612940421356", "-20.22334856974294646621588764962", "-18.934096929878654785599243021359", "-17.96602515724918005584047893381", "-17.37280531895168709356018734976", "-16.37559821991271631249676705263", "-15.23498972075297812141573070050", "-14.66487554684451763101486538361", "-13.2445100684186460594795402825", "-11.48718822776663156375670719651", "-10.6711253127042574272760713899", "-9.79214500060649557684495590592", "-8.75392032157110504982822932056", "-6.97127832985629699023758208718", "-6.44377376719076425739155483117", "-5.2932657327746562605205797104", "-3.88576218001370271057452721725", "-1.64871255878768995867177756000"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}