# Zeros of 1-3407-3407.447-r0-0-0 downloaded from the LMFDB on 27 July 2024.
{"order_of_vanishing": 0, "positive_zeros": ["0.861194939051877795690324479116", "1.53982323288308275668787260715", "2.34517972234969848388772202657", "3.107862840933456863140908972492", "4.37043440949146132519271466861", "5.00721453544701238181633921538", "5.6237802335975963906702801070", "6.24727598269137276174748987631", "7.01266587232550062559574080428", "7.69006151606273117852228922832", "8.41216319737425970903956969318", "9.925430147214051267936962055740", "10.37344523707045293865768568230", "11.09115263209561098807297733675", "11.60514763095013089999409531468", "12.56754145891142813344577546976", "13.177091421349730963134835206054", "13.603681116682183639192042197", "14.13981133652815837878487582249", "14.94036041547473453094991886082", "16.00642057218677194662329800465", "16.45604742975400490549045932468", "17.28549045846972920586114061264", "17.969416231399704958455198118480", "18.39306692092976487639882278358", "19.34126563109024451085426162523", "20.21362963835012008406452855548", "20.970047765345660284320497394653", "21.12021362295049251854663306763", "22.182015409071676700173914282013", "22.65526504824485502226017453904", "23.46285285784614833160758784736", "23.790297809775131881728584231778", "24.43011999152529339167304625566", "25.11250501840558488834602943036", "25.80230018883427225124895369436", "26.27916956613205211744390105148", "27.63076977091979116723836810870", "28.21130598668811108137501713035", "28.81380001742616925761266472929", "29.303558327993610058107525299805", "30.08836820140323819955788305875", "30.435741157206355299934571992271", "30.79009470094088563346910173027", "31.94070282177287791229768505209", "32.50651052802460757959129525503", "33.16060525451005856605439977827", "33.843635026665025588513984919674", "34.09364170635975374872489311881", "34.65548644021569839831843167059", "35.846376702061583981716476145170", "36.27817126926880354095502053365", "36.95652735880992507418062040809", "37.51890759480474922603399457031", "38.31357027986921254121433806491", "39.26919572791724827323861103438", "39.50009303422939674441750262475", "40.332887698474479047909192963743", "40.635419354777703167177371344703", "41.28911614949232005962668388996", "41.62935722703594627427505100792", "42.66682418749783985064799561112", "42.78200689817477707261041317741", "43.75266345790663281352046357776", "44.54524945850216434353107799151", "45.21993566412222603909347244451", "45.77873400209688364550907867362", "46.50114672478614910247614896116", "47.09224860024624877419774251466", "47.65803547073437834860813718920", "48.04940791150039053510429601680", "48.95072918509770755978149039340", "49.470166295496229952228000893134", "50.03639807475976423575190842170", "50.44049899840130066889330930765", "51.42158666095546782797338808865", "52.144147648557898159241018158465", "52.326315355433391611264633290607", "52.713563385409516636802056433494", "53.3923809540794711122651647979", "54.20490864176664027788106571695", "55.158200272467529551923053947543", "56.04746623136250827141100687615", "56.35317147456079563364486264038", "56.72972430276875148990823494928", "57.56812291141278291279102560054", "57.97906505476769101181641994809", "58.40930752034860047763626002037", "59.290668863477435983466450146367", "59.865869066421503210876618474784", "60.05032308353867999325824983616", "60.751749508026076417256666158493", "61.63028856230413870730531079428", "62.349729570811031338690665177112", "62.63615537373758347693804408043", "63.498785787475281806618473741636", "64.140177414846236484581646975493", "64.90839495569435426651910030718", "65.221195589037150875412102724200", "65.538142485258514545786178360722", "66.5112826980791067015095863819", "67.31056079871914137584449352971", "67.72782619261467171684972095519", "68.379324902968353309052989481479", "68.734909711413675369478482242215", "69.23841071104939795898662623958", "69.82840653012037751396393533094", "70.3016796788032544888170009660", "71.15717770926870382291566810859", "71.57216652645433903463697599346", "72.55304585776318088630125009473", "72.98203684165556218527941577862", "73.73274222737719712506193798666", "74.586996885436655827309057794090", "74.88204856832764471728698177090", "75.377002526994683082774858611939", "76.15049781100320849858805383406", "76.35348766364738935220619419798", "76.69187942489901103538308338953", "77.78637989906301400627912126498", "78.28196595022300897715264386444", "78.99143775128924562355696802173", "79.53606611643682949841981613715", "79.76673892721976624289192252148", "80.66671272139479033445115425470", "81.12511989315628705370613590207", "81.803580092400238396922288062818", "82.4910432260405089049571630737", "83.04628699063386588748271419926", "83.88056479073490078712898926267", "84.33713020358124490420934712715", "84.79519692391285619513508976527", "85.41103808131024887841621699332", "86.005922314119016452449907654718", "86.524923745465190310926989047157", "87.00072254801199072497311847974", "87.74147715906655559436009991784", "88.00867607503502489511209663173", "88.50173867240443371959454320177", "89.194064924710125436638346854694", "89.93635496889177380446413241005", "91.065415041634623937674190347352", "91.52556092584960753777797195493", "91.83653357176777259089305948607", "92.26608779339014724295654630194", "92.77109215023210075537929939490", "93.68526570118407721527966682760", "94.14414973516854922311915391585", "94.73635589678656442032711600879", "94.96091416472341667409421137135", "96.08440108814959114100796511314", "96.47746608498218807548677152174", "96.68128077535002351888590465511", "97.45213191852742964811340825956", "98.16893293454227797056814917434", "98.63515372769513774391692719103", "98.99162920444689894285417123865", "99.81277811949173924749380999041", "100.523182806409477253198384996406", "101.18249752163469641902355325759", "101.88514702874983562263712674713", "102.30017685613579727761413212536", "102.90491442966664905736751707505", "103.436884619348921427814602551620", "103.88293007908167210239307501169", "104.470905389960627713971365094079", "104.79272172348409393393380134808", "105.23563153300309996536419043323", "106.12734464657891729792118065925", "106.90303204660996976220337932643", "107.30549623665625543420062404117", "107.70634688913181886771127284002", "108.43517121564710135568793052019", "109.15016179967740016974866772393", "109.857808842679012226850236938791", "110.39262118115571501915284936766", "110.74003640825444802156104350348", "111.4409463818595424775133060311", "111.72134512133013084493283240126", "112.39864160723246253705771816160", "113.22941737257805457766295946560", "113.869647575510194445101070153078", "114.27865630451899443455392967293", "114.54135339395198845164744057734", "115.26184947072904089328180698513", "115.668142906778245639496409990186", "116.33143617925364646867214667745", "116.55384513488877405808081980706", "117.79678890374321509032845875501", "118.21961448994160569978859565480", "118.95919299131979453768258803465", "119.52728061806562758200677542242", "120.1190858239194388384918540307", "120.54689405139890840880350590330", "120.88510494132526294776216770955", "121.50391602104962425663904444836", "122.270735822262936114484966501632", "122.545485899034980555610340238990", "123.207598737273704759024981961094", "123.74573677093303053126169355675", "124.12111819271740743285845249576", "124.99022194830065426845294656507", "125.57755128645392989127743395026", "126.044613319610643253306647379639", "126.77111764288913140741042936581", "127.113098667155982861786790965174", "127.82369199984700810777224124910", "128.37289085013290548976886210625", "128.76849386672579172076302891879", "129.89782624205514096522262277092", "130.18893538011328224113910652791", "130.78879593713134765732310953275", "131.23364981563028201739741840177", "131.38511051821344627446148427109", "132.272431068422989143500320529147", "132.92420272853422981906476685858", "133.27896666414447871446015643602", "133.79311085658590037198582020657", "134.23354029563956126440274412652", "134.81072255966181536811167520617", "135.797552528151608116888159776633", "136.60705960855532258121422976076", "136.695536783061632174146386169263", "137.571182163544917054267702797325", "138.2531824396942081454908554581", "138.46218363790360206710676831934", "138.88422063770594157188765321640", "139.43542603665758144410215801656", "140.147858327562013646695584421489", "140.529799105397727493902547369667", "141.309864518043517189121870552965", "141.91243990472977361656638559426", "142.35835756253128609563090106178", "143.01430689403447767597151351951", "143.275016781311754443056001418466", "143.76377349045400617822202810620", "144.318584028981745218562528185466", "145.41940003599015562799086739994", "145.814624353420989446581683126429", "146.29530997676771473781724609772", "146.9647197186167803317403413103", "147.55218592525867847197579121357", "147.869708558821829665419489969329", "148.884846606295056136744842526028", "149.08620842947736986208898367420", "149.72075832773114220372564131722", "150.04366999203543671627146439529", "150.40929440618434325764963629772", "151.09191907838698393245587686792", "151.58205365800899676950915427265", "152.28963793546748786297847230026", "152.98449662632782689203766955431", "153.496569944098174667802761471", "154.27765075453584810171621026296", "154.61853436871529220354616078654", "155.27557456442089826786823815250", "155.77226558697166378962183428030", "156.452506880045987763229068346255", "156.67962957028682555839420413378", "157.32769048282018699103315827464", "158.12573284743005587186575294315", "158.41922138171847849378443043409", "159.16048779774198997390418803222", "159.44001227283933473808278807453", "160.3105639079169765966092002451", "160.50149719274449639716778389111", "160.98998258303793281577929496689", "161.84711601456045742626599690579", "162.23998073613022828603841450147", "162.74909367168415559994049016432", "163.0348620442591368070338065736", "164.61087981924988769417840118777", "164.791497383321880986471750548689", "165.24151302800985047403462742184", "165.8431563740173962059781773049", "166.2557961324037119430761534023", "166.63303927331150195267713267261", "167.26983237385801542008739629928", "167.82024567148100530686216206725", "168.21229845430507789915201593424", "168.91013537677417805388838749281", "169.641772700708342479847384836712", "169.83748278303902014471332213738", "170.40387929300380475591077973626", "171.13680153238256423305637185090", "171.67185544051543171076545174647", "172.50107841478858788815901855797", "172.93950990262989525980591562455", "173.298323043176450574644783864220", "173.81154179999454851816665518422", "174.66664908517774470058381593733", "174.89714250057374315872855015812", "175.7186784653090095784929369699", "176.12915143157941133455340225501", "176.726785357538160437117212141036", "177.350976925857801313868804282460", "177.82059578625889068215547480348", "178.12579577026691923786790684205", "178.56088485751019462118722450489", "179.07109717840765232407924757152", "179.748665347076819544517860842029", "180.33938979222741524700119694392", "181.04659771483882215757831787056", "181.90559019958547815498967181855", "182.26048697843485073577170657950", "182.83838617676525384872944894158", "183.06361297571580372447558276352", "184.02914999125796820241531121307", "184.45174299341099313445593187288", "184.85793190407670923788032266919", "185.28258831631233682250375863898", "185.838000373981544717689684667882", "186.16889636794565810692032041932", "187.01736264403479986619584902644", "187.63054314510411573309411677486", "188.34810142325530723606790100199", "188.54842649380976750931202651349", "189.00227239191904398741373780018", "189.585374297559726462704698385243", "190.230309754850652194964507509492", "190.80612719804851532526800196219", "191.668721917030948829430053613984", "191.821038710156613145216438290100", "192.81182415592468631969212753655", "192.92902593437553593496163039341", "193.9484756072763761981065500403", "194.17297502172581969515584867205", "194.48523920798697278040231756367", "195.10930972928958345242247700409", "195.69818789435511169390667458946", "196.24596752404228588360046090437", "196.76813138150078180495439216996", "196.98428681678456754523872337113", "197.70197412223289365215415158018", "198.40858161918526544372820553829", "198.8638297624299770684266938934", "199.79675603365585489673693409425"], "negative_zeros": ["-199.665252084522880923038301630", "-199.369230410546343686866479793221", "-198.671421876840542881693858749186", "-198.03910408484737197624954180789", "-197.68008661616588319010064482356", "-197.11412722281701357587945236710", "-196.34540496459765546276661606319", "-196.032557720217990589574080859580", "-195.59459064439224774215030226752", "-194.68290358068600942465490937577", "-194.301863962334181669027753598677", "-193.95376269162151356157946557805", "-193.45852451053042252140509008842", "-192.80693525830795083127906967915", "-192.40574722112456434144091226412", "-192.11207962557155766236015522341", "-191.47771321735445736377886326643", "-190.33884626668526864829600061944", "-189.60923905022543687571065560353", "-189.36512267213784306564935652653", "-188.96383074931143759703449221593", "-188.335023969055020418196826065020", "-187.847520609115563042548499218910", "-187.341881598846450686119423835111", "-186.561002095750817272163853741110", "-186.37775872890327946502640219813", "-185.72672446931423918016610179304", "-185.287274725755381894739298566764", "-184.77912447494470393034698199446", "-184.01978491554282295599382927572", "-183.44107644236454272727596738617", "-182.95221114605708227042397590589", "-182.540556899779032439971356904463", "-182.135308316201734846026927550967", "-181.22350154768202656480933418375", "-180.70395414449098628972639558251", "-180.39684186982232219601857593062", "-179.60633016060648593962597147378", "-178.88583065012500414193728083404", "-178.26597617624888064589626023028", "-178.00230895389289180271413780652", "-177.50892367652038672096209966766", "-176.712622951273795078735734239589", "-176.54825885858698107636635731355", "-176.08972823685271777235899497054", "-175.44172831926210595748165992326", "-174.92034962035150190624917606418", "-174.30823889470180245693143825605", "-173.82766534964080195114074834544", "-173.05236908338075377510240294767", "-172.64877456104546844998088904303", "-172.05731377245299982822483145474", "-171.08199822643901983461478011510", "-170.55889254285142042932880136016", "-170.27042764324486524856971728132", "-169.8369055895580881424774225794", "-169.52672141602775049408203563493", "-168.85427153089263407094439855153", "-168.05952169901796849499883372360", "-167.506267720857321247720034656197", "-167.11098681189855008110437935402", "-166.33830400021991013907534543454", "-165.879981531274568920573408406714", "-165.63143497985016799787602297240", "-165.17906273015486952933526430721", "-164.508961262040367639824137552392", "-163.83128858726953807834580804151", "-163.24132088477990912282278365148", "-162.534103907532373005936423831569", "-162.07705518229787412414011166217", "-161.27801223078869310694964414713", "-160.70929589842873022720637211506", "-160.42273263744852541012831609025", "-159.82538813914611513663279318532", "-159.35820252522939457046997026648", "-158.78764511716884968852086081506", "-158.2065014280503787325931245564", "-157.78166067493250320718969901757", "-157.419868391793336550142388719626", "-156.83550250311630934873309905849", "-156.11530608916613371675164783679", "-155.42218690667176588932470663372", "-154.80456506476658236148093024047", "-154.25012671866303503779898842212", "-153.83485774048810657186821615440", "-153.19850681449608385619888817174", "-152.72241965404612445572601551924", "-152.11605392168868735420759006983", "-151.527857195088778162522057524697", "-150.808199184501319629719362165504", "-150.40952983666666497616716878909", "-149.90466095537987093248625647297", "-149.46510442594155531333148977022", "-148.61180083332149153768446080963", "-148.51096239202251357896990891086", "-147.582407542923882307635744716900", "-147.19510837675799447512614977804", "-146.85866598805103780939913433620", "-146.4006265265034865641167877937", "-145.65566636580444744720425404692", "-144.830734335855350347189186874192", "-143.78308603282239105540396769374", "-143.69233837933766070585370109031", "-143.22689294961781858461990812116", "-142.4662692601674243347890806978", "-142.03050967766964622523433120852", "-141.60112781597128126733971251178", "-141.07374463972570598802763279186", "-140.65404347624106971167972240550", "-140.048471164049311187671696745705", "-139.27536569159748316077390333728", "-138.58231272904531886620825075669", "-138.30885712351031126078586260025", "-137.82322302692686278467011850792", "-137.34003632636500028018621210572", "-136.39305112336695037265027910331", "-136.032568895421833260533187567179", "-135.40069572959677072512045417799", "-134.56131421756859239127086316264", "-134.1499236045612369398219522853", "-133.97373459088068682208294993618", "-133.17886119712571790190221820901", "-132.13861121323449252418943184369", "-131.950944190284406118090561153834", "-131.33603024133382157635357101588", "-130.95966578610226658678989439965", "-130.548803908232089400142206098877", "-130.04765588670262638190497277817", "-129.4985313105557999523312492137", "-128.72695091525832405484604237770", "-128.25314946703437389660805641599", "-127.61075535858044764520816509445", "-126.822333244940691749883600297554", "-126.14356946801428401665249880789", "-125.63959263499341295178575976593", "-125.34897245763167218288419660375", "-124.527417188941335124867814708783", "-124.07916698973363086362072703892", "-123.58073598051656596675843337641", "-123.07210237976294726095289341813", "-122.68357229474391182023238614900", "-121.77962892990863428360602873418", "-121.2201936707306808051535710915", "-120.8268781181487426115009326833", "-120.39869079945348899191934153880", "-119.34615236062377693730297494356", "-119.26330461230459228720103000909", "-118.721585485515005695642544081092", "-118.03598435362171885340908005804", "-117.57121617800254770559654920171", "-116.41826631326555941350713305196", "-116.02443884681569403781068604205", "-115.31389511167303269724113121054", "-114.94752700629706922230261636575", "-114.521665027802038615610994233195", "-113.96002536635803549749340679454", "-113.56189814084688098221535567742", "-112.55702936801184244689529313759", "-112.34037126975687748971306362866", "-111.79761557283927973500076870463", "-111.50157426544209605552165401947", "-110.48913050935711506150586690351", "-110.1583787896867030381841599771", "-109.36351564393564072270814377858", "-108.47155132448123260737957791000", "-108.01210944952683807638279463169", "-107.71902027443436024584801987182", "-106.982835859945552416411246011217", "-106.5510738584158167289732179839", "-105.96928108007961838719231679591", "-105.42522444792380640696634740700", "-104.49537521682893728518613996301", "-104.24984568842995630619961801847", "-103.630737286464323213475036402710", "-102.97440986521313186449002328411", "-102.47808301843701756729071972510", "-102.23869474226651383599253492026", "-101.431596063033840592662609413360", "-101.22735729520090654672272474415", "-100.06635884115831626418993555970", "-99.598315226877815705102182769534", "-98.86798969165171744459043137313", "-98.44688202016722681899912831633", "-97.550606748821312201787410455335", "-97.193739269757238479912126633552", "-96.44127200954253310381489340060", "-96.08184383859310729067717689698", "-95.81541671703390544196631287053", "-94.950937398855674912218420678840", "-94.65661163136576413692835123262", "-94.20317121432007160335389669054", "-93.081472719224464776708049690562", "-92.61311521270611195366280560814", "-92.00390512071044488946924629930", "-91.67010117073151762470794082647", "-91.25896072878484420655460876668", "-90.05104346874042927543707711323", "-89.658431622393410026369319457311", "-89.157939378378678629474338564982", "-88.624407763459228109523258388144", "-87.97055679482284546773644671844", "-87.117029405218692544793707443", "-86.87074630723576380788853132616", "-86.23601013183705581256072617673", "-85.628647160360664541369507289405", "-85.186259401321333009416163578580", "-84.51486724635558149637853863094", "-83.9363187518357692685332938005", "-83.8010318564938175753593099704", "-82.929616748452184015015540563369", "-82.467178643772683877435034042505", "-81.283754401794364102709154102600", "-80.66908534806887858760822688269", "-80.16702754244534325122588498300", "-79.627027503177490800577956406902", "-79.175906526336478018107066358447", "-78.80711512025100096118326272502", "-78.15276543404118773525655478440", "-77.41722639901279615918616646921", "-76.766447609898465100030473232569", "-76.319207728351262400357359089537", "-75.69866863285940536307423422234", "-75.37299971181824154507161348204", "-74.40066808359966275314434054829", "-74.01933209953210413970123876043", "-73.44600551595919229124953799554", "-72.63633376981555274623570039191", "-72.11518982651493828914173056357", "-71.80472277460909917254322345959", "-70.61103744834092365356711784080", "-70.14371664863847131019489541730", "-69.6553351675607426080867656440", "-68.88410744120788431970905859787", "-68.57867221815700374272465342898", "-67.73477797543091456112192743956", "-67.60710903215480655006966658084", "-67.08350969377743149848596373759", "-66.26366510038064132254158319062", "-65.63471941147595259502099756158", "-65.29097183577855315665914882983", "-64.28196134566157751175085484269", "-63.65028258597877259911736946519", "-62.98394671613541093542320228811", "-62.63367773211537241912943776619", "-61.672706722394412009846195800905", "-61.23080956463881953722369488592", "-60.52780159211483289787147350502", "-60.38003022017868814233972190648", "-59.6602717566966085951868407556", "-59.09026255915960102592982467240", "-57.994478840704886764071985043229", "-57.57340201150646796097025360210", "-57.16562931756721341658152145313", "-56.78348125017707774539377514315", "-56.001817551065495860684733850267", "-55.64392593398808678080111629096", "-54.84453665857889063626601240387", "-53.94916623911173231573951671964", "-53.10490496814597795452811213989", "-52.64310504288875587040840579030", "-52.06523209181813447102061066419", "-51.73749285348963731879527679406", "-50.61456740080087340601236197077", "-50.39162760799769815808896831051", "-49.91737063248077476300621473430", "-49.42463912572481635666154192333", "-48.618683898296797223087720790512", "-47.993322163970217278930857816", "-47.507576075261311786527765077676", "-46.799168682370696924848309740040", "-45.953339020910597349669711181653", "-45.384060366746994999849331034635", "-44.558985314091344332744657976868", "-44.065670521551907560389571281237", "-43.916399439105156613803401270208", "-42.83772985509213957661784806647", "-42.28568906240139650967200262415", "-41.34521699596431247152641383005", "-41.03108407812119055542938833314", "-40.30740293605501161442847746881", "-40.15066490514863147405962609404", "-39.23766243687895643303964357128", "-38.71066673839518943758638079278", "-37.99696507811607752308123145117", "-37.42638212030266698026874242667", "-37.05900409574479946116088177114", "-35.81329365390200024553554135757", "-35.13518729344850724838239597591", "-34.29058754008097937970385928560", "-33.92085571814374567935448698982", "-33.5356779765568062991881997083", "-32.93616324242256066287048176918", "-32.15769376987924355036285034544", "-31.69112955989356975631920824076", "-31.09269953958349349905560045529", "-30.07528231487912222101653487837", "-29.718389743372764303688407913236", "-28.95539280989840765226798236783", "-28.2480481979977722435642153550", "-28.06083411417216556069478687251", "-26.92788711382373924286329041967", "-26.08285553482675835135377419880", "-25.631904182420864932149374866567", "-25.02282402589069299669731490116", "-24.04600920717922375152645078951", "-23.71582663788022728166290587959", "-22.95115264665128868702225958275", "-22.251481708107777863979548053235", "-21.61808267337958938034408503592", "-21.12981786734932429577454070527", "-20.880921647047502702940519093698", "-20.13673627294120405085468431178", "-18.584379977081247913093833806284", "-18.37109652372616548789478044508", "-17.46358821803050967388225174163", "-16.65842650946579550579630913651", "-16.27103465824984381293656724187", "-15.452385537764756984496524512763", "-14.840641307842816923517885866698", "-14.24951498644805862087521832928", "-13.46549836411169205524738980569", "-12.75929363632291523254099471442", "-12.017994660692656042702137131179", "-11.402164149321559473893827876", "-10.62055305509080141994329669415", "-10.17961270690002950506556114279", "-9.23203348966079854191450703502", "-8.28345320869031524262584594456", "-7.57741557136399608799032868472", "-6.25094503954526597707664807068", "-5.85048489308995476103936201557", "-5.48595667485210079687387240976", "-4.73132476369843807951454966256", "-3.80146214616629202159380443634", "-3.091193559410597159725887928523", "-2.042432082072636361548276952161", "-1.362618787441584124720192336287"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}