# Zeros of 1-31-31.2-r0-0-0 downloaded from the LMFDB on 25 April 2024.
{"order_of_vanishing": 0, "positive_zeros": ["2.759993489764024493600302113485", "5.54759538481889561407498053938", "6.63281731113214783469667843482", "8.21255669260890500382857208059", "9.67742685821920843552283041135", "12.583113048435116792796479063", "13.26391047899968339343910420375", "14.60944892709433446320653308062", "16.12229485816759716868598304741", "17.85608057244635881364273770356", "18.39151322832905350038619987433", "20.4376810526101145134056928729", "22.153528945368338138093560112108", "23.21535717927928313207569971828", "24.78082904556763323571305656246", "25.3462701510056390081342470637", "26.326382462122383330352721622559", "28.46679809010471140612483272781", "29.67108234088307875972863650524", "31.04915943791976161437395123415", "32.040030353483516231227280059073", "33.30509705867886992104321370122", "34.562068701071793296816911901679", "35.653369201196103839975872486500", "36.54664994615698913938790433681", "37.84052664332628947687634296794", "39.90755807144182804632642909505", "40.89420355041640423203323326135", "41.89735261652862556890988592473", "42.3446619547622988768892362819", "44.19476676208538751029946743307", "44.816310497845222249202558229831", "46.25999041084284307911548534083", "47.85721398852615263540148939024", "48.74019059390593655972479498427", "49.71263268854888787226656745450", "51.41715008485301508089779900661", "52.17998554424166428692127295672", "52.94980977796415834132679095921", "54.11405166061949592229904867027", "54.93698849016820931667275955773", "57.17916931353411812608433948882", "57.76970859468798266923363997275", "59.083793688366494011155512292591", "60.09262751974133374216101831244", "60.64464573598047280285308496321", "61.955732544723808847119505117780", "63.3312283149029777193387737848", "64.273444287227997270504281658315", "64.98749920995798041579983879888", "66.76866187101598287287062922723", "67.89302290095421900157575237810", "68.771789451781900864997826723316", "69.83397958670063238169444302819", "70.74422013160636824907165998472", "71.556104378672156210218581649083", "72.49642265639714070217905734257", "74.01076598222472498059695277625", "75.68009079240451426069608866804", "76.231672685590468487279698393732", "77.10885144094393228144487950675", "78.09930228968957023489809613577", "79.535481941388245262291921532634", "80.50653674375331837447912003998", "80.92086966740189479903098109430", "82.22143535256025007030741244816", "83.51550104698943282734407886051", "84.495189672241539084042134562076", "86.274770459801540676504059332406", "86.72621207632886533772349356753", "87.56431864095470163594201752883", "88.67360265824545115553215238251", "89.13587765374060824640681173722", "90.83645564162075269648178731150", "91.58478075722705736896266522789", "93.04970607586699593368426986632", "93.91541446660566090874817439875", "94.89848311022591456365855925901", "96.11412020654638182376944062980", "96.75305595434993538790116054726", "98.04144318036518280974624071687", "98.96558982796872040008635771275", "99.675280462039381419472720708574", "100.23720885690803508213824476539", "102.39035624818852180090421569883", "103.48743453393777834972599100129", "104.00604373446059886534914907753", "104.913952801250762282653244844054", "106.30247206943979764680063833414", "106.47845819110055200145574560419", "107.91749207236746549962983538067", "108.90697137565617445927116785792", "109.914105292793774985761869669199", "111.04492045773861502093983359524", "112.09640766172213982709777652262", "112.94867726648188178396994064193", "114.406417692993334596217115990139", "115.20399343392667571659581715965", "115.79195658232039289237479005042", "116.52569166946501862731080034348", "117.74790568350184846022937672634", "118.64677175327631933750108500636", "120.09821660082853092666829572206", "121.16999947572944618851792050322", "122.41716069621732346496804949766", "122.70702703179256747330537035767", "123.43173352849668818359002471996", "124.90005663876853517507361511644", "126.04887868988689755740972237086", "126.39564864102126946223045883725", "127.64181644792782752290831172135", "128.37512159223498321370762212933", "129.894570056467392382883533920780", "131.08873465287926335136850854829", "131.680442776611705327631637297365", "132.82466444543278174298285116325", "133.46051463287744367456762893407", "134.42816118586703971169083881658", "135.2236073823889668540229115823", "135.95299926086198331893457158005", "137.95230432316559531661894592301", "138.43930062035194278640681433708", "139.405370733708780247374907173689", "140.309947733499799042470415990013", "141.41624998994515009056357935905", "142.35247238169037646659856816282", "143.09362440688734604400835355402", "144.18701079886975517172107959674", "144.86973210254037206862750805858", "145.76089942795472164029459144621", "146.79180835630487812071096067604", "148.52213672329782526864286592222", "149.08356450651465472168651761087", "150.279250218548993326413967719074", "150.717654864887016783261061720675", "151.52107119443105428578692990325", "152.42188676094769409721806258262", "153.74943916056257568657001693816", "154.68350262967747864976721750291", "155.11970205262740345079300390267", "156.94061824147641656206486784416", "157.58950576527687496607561350173", "158.21870252204677452283413383997", "159.55484296710974948439028557360", "160.44416223496637924108686335449", "161.419883775487437375096122597056", "162.048723010773757844688348029878", "162.507817846939791449079564870792", "163.7605925110242133568658133075", "165.06192417799001437890443915376", "166.40276117873465033449307678817", "167.06518308018788423076805174159", "167.80357197292157317225025472391", "168.67296067245256679446463132208", "169.73473015182882626133784140066", "170.3369224111101894362410610451", "171.42117765136699305769468674973", "172.558422965562504714918174996559", "173.15795427372399283869922914926", "174.33278851274259397346724967471", "175.04981876828815592730060448694", "176.76373049339123933712245917037", "177.30728756929472482809109770141", "178.12177624951279273106983397316", "178.69407473643159123027556210454", "180.10479056304508822971369985391", "180.33774822287962846260580595959", "181.37048229948433718183323690256", "182.61366769441387447507603404021", "184.02112827419047676580986500939", "184.673358601814009594456333525269", "185.52884653289439177992719947264", "186.34840323835682524536462626467", "187.00112491660085766397805820087", "188.526791033095608356709290752498", "189.07205080770203380974552551990", "189.93385036648220136255775628631", "190.55104097526972153955673292856", "191.54664359085535916691425123132", "193.14360410431667333889817395814", "193.79603713248362370953690771707", "194.756019425885308791542640929399", "196.039285656502978418405735620114", "196.34320720398686990639551738713", "197.19504872139020253647444898074", "197.769748588062850385635581560085", "199.124644606883764883540286037043"], "negative_zeros": ["-199.304479750432382046134363078960", "-198.02212068994748568740072156556", "-197.11581018446398947265643174684", "-196.508282604913369285027166477716", "-194.82633818469485741516250506644", "-194.18150058477167266795596970840", "-193.424621113702252422254871307197", "-192.68518518644861925058777536428", "-192.028584479963781318120650410641", "-190.84017626232400777006620482444", "-190.28627910444412897936815718505", "-188.75759483815903408839962511163", "-187.89669927983765824052187145493", "-186.77965244175461561339476340873", "-186.0105923264552782576241665924", "-185.39959561331663935013147874510", "-184.33988035583753162009074493170", "-183.45386343386241565831516434599", "-182.267781513568477978563899534298", "-181.56815465626725260338363220030", "-181.07098525274934048033303722466", "-180.18438076488214623827558982451", "-178.214254812198076949023277420612", "-177.7436896078181847094903443220", "-176.7700155046166176739970657351", "-175.75263834892588330308162371183", "-175.14827745235002609355565038944", "-174.19868702729376761625124493982", "-173.584452823485811093946749682", "-172.55033326451812797606930591387", "-171.15168645017296261948507109151", "-170.476852973030701895151146704958", "-169.28921988694080817882719174018", "-168.40256465070576911809660208774", "-167.827377116156419946269252047654", "-166.203710207044012464897000017690", "-165.6856059315055236588848198414", "-164.91333040437084112739414932272", "-164.17987120313478233558836920570", "-162.91901919438714593826477634054", "-162.4784177830761917667458680102", "-161.02639570274253026608552483122", "-159.55779105005141850598331629042", "-158.85985756972961016526231066421", "-158.00632623200377298520324637527", "-157.67412900161504976755278204866", "-156.50484694545130266396997704973", "-155.30493114910809671479988175109", "-154.46930628917329774870580684869", "-153.76548799783448976196735843209", "-152.58840202512391308825115546720", "-151.54833655373770763975651234641", "-150.50219729352667744143809883192", "-149.508497691409631733259908289886", "-148.55346230696384849970228777543", "-147.73159084384463031499433273858", "-146.71866386765759324062245701260", "-146.023473615565130673172193881411", "-145.654705327663967792635928893577", "-144.085522575525324309402509374114", "-142.535241309343133912067245243545", "-141.77399909075339081375489785169", "-141.29363567624358539362855055134", "-139.77768142906935658026188761648", "-139.267203549717761900572751857315", "-138.45491748137645993007860617644", "-137.110269751458050454585098308483", "-136.339553318077706917070439651892", "-135.53095133180860980766529991140", "-134.6191511852895817194821135277", "-133.3953895830551800731396269800", "-131.98092201007231617833729266834", "-131.03109233879235178724917729471", "-130.514947970859588689936185933178", "-129.43689143349431687732910440750", "-128.87869970561440229937821547918", "-127.829892895946219949608576526805", "-126.41565574105195640976420855650", "-126.07055038129170899318070528276", "-124.02198881618279323542952248505", "-123.59860051967104328453002265781", "-122.622581764152921820917300182115", "-121.9312788424705195841697228468", "-120.266998147623574506851512186913", "-119.668900580122256956360022255163", "-118.91084819040578724438037305904", "-118.07730708527727561199642593240", "-117.11379761522933514718270680765", "-115.70629244141336621083425861730", "-114.30172634251384377310957003346", "-113.62207349911768919343612849612", "-112.52238170087343256125454806970", "-111.98564261702838979653942608351", "-110.81162777430031676597095384323", "-110.23934177310755427964804301315", "-108.83328339559503221319285223131", "-107.61012919192732770046737299636", "-107.0247746702233898810460511302", "-105.774127863184386229997718758031", "-104.54174438739001885542688511743", "-103.561251341790894329582165754947", "-102.67267675902319200084227181666", "-101.891777884886025139369145185", "-100.73180558836225240467885063067", "-99.90825575623392924398383571195", "-99.47873970954393377743757759585", "-97.22859574856481241368901160171", "-96.473153646881325605804336539871", "-95.33897980604576943684835627503", "-94.702870165848971274822761530352", "-93.94493956286893976307542086321", "-92.44921595160742629913017870371", "-91.640461951760929763222942824669", "-90.65795200271981473012910432822", "-89.90942695588476398781434748483", "-88.286837136203110506266103994", "-87.44554775301489188413517681636", "-86.22867823362460777442053924062", "-84.893741190859067326314808750207", "-84.08396659456470166241780943129", "-83.868785886291590660488320150773", "-82.57008045932036515932202430995", "-81.41384626075345038650298093674", "-80.08397835423623765457276149055", "-78.900216135923882731817716973731", "-77.67755597428209681860686564266", "-77.133949722928917617755153811334", "-75.86504188668848328781825817387", "-74.926975011146254335831740547662", "-73.66753592840999909722567318157", "-72.91483984593916652810587803860", "-71.95629589987560989929855810281", "-71.00516955403855310454379392099", "-68.7898042888978789700949937480", "-68.12027542818706526511958400973", "-67.555742253424204080128644627388", "-66.16745220264660544275033124312", "-65.35106443339467415982541434100", "-64.46067057067639569732216412110", "-63.168517917710525578516389436789", "-61.7924012272818822381244393329", "-60.481570253884531502558590916413", "-59.960535558118438643660119323452", "-58.311380544370846952947444231275", "-57.4082432778474906686947997115", "-56.116138583112479634433797457742", "-55.585797265571318939431422261649", "-54.65313451371982821927073027073", "-53.13879661581627432871933702933", "-51.6157964323720426305824233818", "-50.31239581261691477479285475181", "-49.384122824483910831062648199536", "-48.5516380406775420700327127062", "-47.79279244718450986749768814850", "-45.80237804301247672215645401609", "-45.29010321488984678080323775758", "-44.1316874950148455566799641742", "-42.42217546357467195153292143406", "-41.372365002448267307212970572277", "-39.90005667128598790316224774435", "-39.11009098517403818900993242503", "-37.94322933465305970683302114425", "-37.0545848366649830621588968149", "-36.03778730063649981964712062892", "-33.74023848308893231034556184066", "-32.723758465106805549710233990564", "-31.952748045442972615343568073826", "-30.539779999599055575096157222012", "-29.04537212905841648562831037428", "-28.45625410953668564944820627434", "-26.65031954705866006226884531502", "-25.96737517960782840742560102402", "-23.81665881039987561569497948094", "-22.230352453778010566413340556755", "-21.49164921331079578596889795386", "-20.39221306875086787867779537633", "-19.14707703188554896128280292362", "-17.41501077784915130389185468954", "-15.81576715155143292637446285390", "-13.98468128223777515193119356492", "-13.28168763647461597663439330398", "-11.07006849586849188926080336733", "-10.006183367778683829854140480289", "-8.97770977821202751023412989903", "-5.88345510750945743765712651368", "-4.19315521765601260223127809096", "-2.58899933971503231217203064540"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}