# Zeros of 1-113-113.52-r0-0-0 downloaded from the LMFDB on 02 February 2026.
{"order_of_vanishing": 0, "positive_zeros": ["1.99031384178781645899981583226", "3.39897012523929083162643275997", "5.02977581576993120325609856493", "5.83106627987470704654654504547", "6.77893284618080555484874878653", "9.257269037057166222722057879206", "10.34589821725579863765209970043", "11.12839699268784232911111949865", "12.39617295281868692819124347948", "13.24897116460739545278116259862", "14.79416467268607119529427248923", "15.44335517077756317358706682193", "16.67274256052644161756351984107", "18.15712461026876958476172607338", "18.83647171038274299175807235483", "20.75839693232100177648276857647", "21.29508166443725374671221535791", "22.192423299700012313995946647289", "22.95796928251021479178212528552", "23.9277947311262812664027293449", "25.318386950238768693210006839688", "26.14788970314307103764185783048", "28.05138712761911470587963774076", "28.36528513304234510278000160974", "29.36517508817686320722688685880", "30.310502888341298699483523669164", "31.39223166449714305974779336349", "32.55034810605863275261067592530", "33.203980495610689181428104112032", "34.1660406925129983914666071661", "34.76077163307051574396716728884", "36.56527422795770879695094298083", "37.68165461104718218140546164390", "38.47803886497593242222934176252", "39.001909737484751693624264320579", "40.337735400177168693923779941088", "41.06670652137458685850617667763", "41.43632910984959702204824659638", "42.814294953456710196539920695965", "44.069209196480201744776367544518", "45.02419361407622474070633796560", "45.7214006407828355422394157845", "46.88209038332962360382406503543", "47.693521817710918367265863779223", "48.80562446221703035393395140819", "49.675898036395756239221338552263", "50.28878940008292473142327169425", "51.16126323177601559425842874306", "52.123332636406787513635359980835", "52.746080338193122844459576027447", "54.353300170878052086462397448940", "55.2929155879023523595583260253", "56.37663247482783016262076083942", "57.00304972000333685588806004109", "57.614876037218806512793781222230", "58.17984113359377388350533852072", "59.733416148303333730599735622779", "60.55004430677259016138117596346", "61.01493736833487548452014543350", "62.08857222504749218303549885215", "63.197240306826249073237647610073", "64.29030630957957894591503323510", "64.87591880822709065460344676588", "65.96922484703347409750063435290", "67.02130744877114444313301535253", "67.80141057920129721213603988945", "68.08380883138580673332228804855", "69.26978857908097254578363775295", "69.783334350420175698281472057148", "70.80785461155029677236731078254", "72.59435931973680675496192102831", "72.958439860505442516467636992900", "73.75812139708167297064929575070", "74.78667265689981361616350961442", "75.3503171065587969375565190900", "76.64570893970420150783353837165", "76.87487775719299843849998157741", "78.084378513181585780524903835735", "78.96580735051212053052765736711", "79.72646352445572821153176683338", "80.41176555337567968516179325762", "81.33835297825967405398671752996", "82.88879852945123889991365880580", "83.695113065604429700081870120282", "84.100886162082163641547830090817", "85.081947100362019789198062553415", "85.7222825804446120553349564396", "86.58252044758336609751819228984", "87.222846712190183093696185663344", "88.26482962081324614661973575328", "89.25183637847110328800932304563", "90.069644970823523537466987807547", "91.490620347020106120534974471758", "91.81888392497363938906414032232", "92.55566995521669145630543587399", "93.39510676330600998170627811820", "94.55144095060921547662104201357", "95.29333761328270495685887240311", "96.22937425569282831823846496577", "96.71906216001183339467491262287", "96.96249346368651048573967582028", "98.59713341246359136146773776786", "99.38428706674476651336645950020", "100.54661158386341806196048566275", "101.291449102295767050186859063159", "102.161769878041331346102119237228", "102.93319983750629388896931054120", "103.27366621355037588272491690711", "104.427654476321241138268240625908", "104.78945529063159921586285890819", "106.254616543361294047713460646638", "106.81129131650912515028170773649", "107.61777680352758666016846779472", "108.71285460733287420379146202341", "109.40958775093116940831052329214", "110.17009830276298281067024406228", "111.57834191461567732573739796871", "111.90873311998341573259503453293", "112.6582934270142665466768101445", "113.43984010792105829161149930358", "114.36058277088026570880775704811", "115.17619569185575528572317527349", "115.40772409184393092588319726393", "116.52587791543882101200916319718", "118.25204731624182194793236276125", "118.710215390691740540773305959297", "119.4767896043794672376139326759", "119.9693803319485924552003370538", "120.928443449605358853938570374003", "121.57821086847204243585683666813", "122.68921517369678383944751534006", "123.28426395002374554052084004789", "124.07347537716763065854100075501", "124.90235624039953515806005445870", "125.61725524616906369686039572951", "126.58734903407714018048086973524", "127.62917768828579667799237766406", "128.40824379762691648476412557804", "129.111088991934672761040743301005", "130.410844486769994978591912237345", "130.65092993824624052482894437291", "131.383030096704691572785209123077", "131.98897203704707904864095466251", "132.704230039827767127017707909433", "133.85666771423184560137344765292", "134.76696717671874894009725916774", "135.66121307852309572699123099723", "136.40920069837591633567932650020", "137.32142547377762711746559726187", "138.2683419471076112197504295635", "138.63139518829829393690708351498", "139.20398591435255002534287477812", "140.84286475508314612775148017204", "140.99911214928751635134511616545", "141.80382742135562081778772678277", "142.68640093724896307973565590486", "143.28785680187776982499865545372", "143.96502309611862464545543209931", "145.46724144210188151953764423988", "146.25690519420248697636154963061", "147.16866842790107235343491996440", "147.52069737707584648171710459442", "148.28892737770017441168992896854", "149.0441786001513214719843409262", "149.875056036423760074860574257253", "150.537422840146658589043845599852", "151.45494748287657767649668513070", "151.96376725343766662554119685581", "153.38184607968805429396498009347", "154.10251557667341872859873939940", "154.780694460235305579162528646579", "155.26264915109134783565410530056", "156.405144087801571732688731279624", "157.31894593690173854825420122396", "158.076901624044960472716152411224", "158.60259941848539226849685878682", "159.24216282548469308738206552488", "160.17419042539154799679320992061", "160.721143724764890588092730946287", "161.44345942919518463782863587200", "162.739684887212443287763257865908", "163.5502921032771755272291582437", "164.669591298053551602875958077033", "164.97455682170188079779975134539", "165.81015829290670506198597192926", "166.568885151260954903897982330191", "167.17807185170927220395528773138", "167.68534433192260974612742369871", "169.02703408669042231488641995259", "169.85240900381296408353354482122", "170.33240385669030216798822160858", "170.75541676754424159617651620689", "172.08236384423436882311577628563", "173.10759925268826064915282939056", "173.52230831837441488452463239356", "174.62950891552246946355771393256", "175.20303065998951743802564673930", "175.93044879615724952668413964870", "176.91085766887611653259397888566", "177.405469883444056047421430899616", "177.83353323817994386693721997599", "178.62641673114547895317043035975", "179.66461488698402210018679884740", "180.85920056673021426197072302010", "181.48133209992697159304796850507", "182.57678695964969106416478836907", "183.00775659312653472552524879864", "183.34524662882940458493229143740", "184.56351510704824546226287012627", "185.25345522383811457339143985208", "186.15463083565591345262647249436", "186.62721184875436069542968185908", "187.43176831381631016095473669868", "188.19922338332843716943849413577", "188.96972832424606736991773540970", "189.89731296285003913915264622250", "190.42583560150893212452188384871", "191.80872225796014002347517863864", "192.62888263814304470895929765650", "193.12561842643940943731315995905", "193.6986661526324299608069719920", "194.42090668206780951373437592198", "194.91997799911550200296333107049", "196.129426331942056476029742828717", "196.509980198597676415770751655778", "197.44161752660070644393605688866", "198.401525528532793600357400395748", "199.26468651630384539248869008835", "199.986493113540587649945037278934"], "negative_zeros": ["-199.95879770707029450647188930755", "-199.1998867317168087396258324438", "-197.91022814289612834888729096392", "-197.40610025144430884566896725948", "-196.53532826908555254797057776476", "-196.08206676383558750983228346615", "-195.24226807213258202749815015735", "-194.29959331532916836434296763616", "-193.97936899805564022361534414772", "-193.42247042661795389438152714672", "-192.13819746445428516145933869474", "-191.6511580625618416831814790128", "-190.240545525418025763691400309052", "-189.422051819734892391085025580779", "-189.109829499750989639035632008028", "-188.17682578730940417923025562639", "-187.728371378813782456310334672481", "-186.90396432304520764731319111263", "-185.60307593330975857712534226651", "-185.241468789259924800249133673270", "-184.42356406519599860524770146845", "-184.08817442836473254668459206857", "-183.01097691921209657366690987596", "-182.234325681391592323426480320602", "-181.03735649655771389394788584124", "-180.73557982920099419873249035760", "-179.28522980552318559832248641928", "-178.83406443701639131332859597051", "-177.841618663582433245062304490052", "-177.697913447622746437763988901971", "-176.91114314752607934034004757978", "-175.979965542711917146710564824278", "-175.44244475988504050651531885220", "-174.25182984254186010755056894909", "-173.62343868102875390287348878891", "-172.550197553775645491164512573413", "-172.002257885537499408686221842683", "-171.03428484031229029792443782771", "-170.3064190081160333685818569997", "-169.659645737817907675374126914328", "-168.712039556260470775044002265620", "-167.90218448576561504341974954011", "-167.523786256775208266221453114066", "-166.34156589884917292853151677291", "-165.684955015200242339672733672897", "-165.38876360915187767155112788809", "-164.69977061356985005395530673441", "-162.80667151381075785593249808903", "-162.21975518854035073064691233603", "-161.700441665295733039025656122425", "-160.7961226295139881999295125767", "-160.28067760890314146772147995498", "-159.466128169671925182393923887866", "-158.67833091504453320325383191677", "-157.93306435009444281281471723114", "-157.246890926850981390387347347555", "-156.24175849350220195623800224960", "-155.47667680464569701143010544300", "-154.77981160208226025321661377075", "-153.55907664581366535890971699302", "-153.21233050517562969626238586302", "-152.22440826039088614683732291898", "-151.29362829030333940154972646161", "-150.362830885612102933803829301832", "-149.77937009278510104986116678033", "-149.27684685773628213382340518884", "-148.75004721027136928559150804692", "-147.637299657266444711787817180295", "-146.98916144351599140721861192733", "-145.83516699540865768148505378803", "-145.0075212470581666225766509912", "-144.05386684621320033708767216234", "-143.01116165815268759741855269477", "-142.85868765504887315146503426855", "-142.01941985118067303844031842323", "-141.36886011074381376109599270109", "-140.28814717330666452699230364141", "-139.30476610263783489050400727215", "-138.7365973553169133129570834651", "-138.25253875487319815608680447780", "-137.309361787946900972603841974293", "-136.26570660004091398283271821265", "-135.54305113995622433658587998990", "-134.0356305474378818373569623612", "-133.80316717815424387913587367300", "-133.17065295956054484479958319621", "-132.08097496698294937961931140530", "-131.54309808580429525148284415785", "-130.757984086810340546947396563809", "-130.123243171123913738471004316086", "-129.41815368537955330727971010635", "-128.20262089759003700931607105270", "-126.9566441200929359496213241478", "-126.48586071417719977700336825844", "-125.65306362771168915498544204319", "-125.28547760481666064435228859160", "-123.69547042558260292621618739415", "-123.43241918845333172330233856902", "-122.575410763815227657633015007559", "-121.6272018562970051129527528076", "-120.95307131847581534753964439057", "-120.377218747246438682154259303677", "-119.394963514346536431448147910335", "-118.69233619558924418428508037983", "-117.35814403625464178458899195334", "-116.40158732678969786485496224970", "-115.70741965106465484093809413930", "-115.07493727747592799887611028746", "-114.249977235998991459226209528325", "-113.69109087860848363939399982306", "-113.10591715782645469287800481407", "-111.74732174117290926417107602996", "-110.991228968076360421912281523731", "-110.34971905621732383751110158945", "-109.5627052747639105495427881654", "-108.053256918173004582879398802247", "-107.70587712257757124950222854293", "-106.90603176495409004055037747702", "-106.05276076226099693264455568790", "-104.94548854726393589336101525047", "-104.09897722277210030074165364702", "-103.806901809097814296355866340680", "-102.78962649682216433558132433022", "-102.3922043498590163188004936651", "-101.33280118644497865033438376019", "-99.9110056098099711575639163191", "-99.00197992008072929897998070043", "-98.40010313933645358484118990367", "-97.42844766223809560353662370614", "-96.99943905344215631184676469047", "-96.050604875873207720496305549472", "-95.20751237084379193367499654937", "-94.26483665093093232031068261769", "-93.79276688906875306595117760570", "-92.55803233390234497107053610166", "-91.591631842988683703319204860783", "-91.34880639019878781393733824110", "-89.96181786161339950876784416724", "-89.0568982334873759049437605740", "-87.84681978809902252451816113884", "-87.29764243335489065065017252056", "-86.98858942493351455109773524293", "-85.903274770190291292175425138809", "-84.99777718770883083042348785418", "-84.37325604242338360997676371518", "-83.62149314641537308055273564976", "-82.17762499185083362806673878969", "-81.149469913401441821122328270925", "-80.55364792772977435018643655880", "-79.59667385579409078904132515756", "-78.95762471521920151727388143727", "-78.34442200374039389699602391693", "-76.91514306292243395675930442010", "-76.24315907128111841876752652091", "-75.597461323553510142618452215784", "-74.68260200204210033613691067895", "-74.2735218412913571378558966379", "-72.6502519085207193252153217530", "-71.5686602641137860669496318984", "-71.08450124028328405182238165904", "-69.852974648726327449633693190960", "-69.22227208685824334931489740512", "-68.312353929251383269074198075537", "-67.87697281804746120753686955857", "-67.17742241009328457230023448080", "-65.52695556061814852466902913894", "-65.13376946145542490584947417317", "-63.810347054750102509525321645111", "-63.00240418026890139457450578133", "-62.17292199435091037066907475949", "-61.25402768602792464746182667077", "-60.259769459855698968697079088697", "-59.345264401583104082821041995710", "-58.75530465345995362473067689618", "-57.68166006067512392446133605474", "-57.14758754261857209340702809617", "-56.09170261724955724717568092112", "-55.32759798156862626507053810226", "-53.48377411100172554834838627630", "-52.57161314344776043119201880703", "-52.35509519592291406210741963070", "-51.53653466868877312017917116127", "-50.42155342506410560386447940078", "-49.59617443082808996141939152225", "-48.59635890288910122408735336733", "-47.695681236403109671650635783764", "-46.99174124604825287056390755841", "-45.32456499596798826431859963754", "-45.0679615544584899961226146385", "-43.77798382464717967140041196061", "-42.595313384370532197873861693444", "-41.91967114464134489024150427031", "-40.86968964847931442095639470489", "-40.15826674360135593936488153467", "-39.62858145437837058223846268010", "-38.59557492546463754845389435459", "-36.970927519243374246747541181497", "-35.97426104935049729865276902190", "-35.19044809262521680513005814075", "-33.93878013001032087233223658873", "-33.38759703335245380955910326339", "-32.517344332200747312139781369837", "-31.45045926123986159028328848045", "-30.04328094513244944058940453237", "-29.55902048231721652189025627125", "-28.78053397741300020227453897559", "-27.36063780312509498536824108900", "-25.81350292128154168729039228959", "-25.162478203274113994536203088458", "-23.84052964943474393307648003031", "-23.47494025944009904498339311698", "-22.39090296921608307272302022012", "-21.21653620569230719182907229614", "-20.52165315972081755429772017773", "-18.77593510388552532643917408173", "-17.519245071439330044660388902919", "-16.6570178976809793648627390818", "-16.043279269193389265020604544379", "-14.172492859911285923345616244569", "-13.27133798308755263346768109134", "-12.761386786505182172848967160074", "-11.27509066366442507948842724673", "-10.279705922992249274393013321915", "-8.230946528005892775341948195399", "-7.05878836914252825789935122141", "-5.85501174040913964997171371618", "-5.19224207053786084741185761323", "-3.533040665568869636876383018978", "-1.53140963373179207068919320721"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}