# Zeros of 1-4729-4729.1026-r0-0-0 downloaded from the LMFDB on 17 March 2025.
{"order_of_vanishing": 0, "positive_zeros": ["0.04809439442874939697062029514", "1.36953385145832218562451311648", "2.85426701203360979979276050182", "2.97660159142382340019610784758", "4.20501354396543470175159682134", "4.815312786680866143155799766047", "5.75808591479569699408190419722", "5.96897398761558799147321709694", "6.77044274178363011568904580867", "7.38759520828762848462034499344", "8.01684373735660140813855506308", "9.373954031086754205431865357", "9.950295465095490986914447559506", "10.585422543948619753297652868444", "11.2382661508377135463223946164", "12.02820870536117358897934005593", "12.87609407634434942093975597902", "13.39436515159357757163081864495", "13.63419742910266537093441574351", "14.85000446940260042874471112805", "15.37077916295095942923605337305", "15.983515201553572671365772080473", "16.56042635846362400877806482139", "17.2726519974368179777667214575", "17.88515077996640954909047691886", "18.193782875334685489432899763785", "19.21999329221814956205112933617", "20.22432938962028980145990062402", "20.94363969672652829068982521784", "21.51829806245948639885184115968", "21.950680262021321459891750499000", "22.89455574269935075361174601351", "23.11765802832581217180666239284", "23.39100418197279494232925273020", "24.47685555566744542506664470768", "25.10305868136071485338592556904", "25.73825384230290453473297676938", "26.28842681027232467083804310787", "26.73797568955419219219788083511", "27.7168733482433199562342975366", "28.38510626659325688061784796042", "29.249475284292189176702909024119", "29.517636572083890214753267616643", "30.198924167783894817694129112825", "30.53432838728996859176401096956", "31.79031805053520932098629474624", "32.17258003706783775836358618117", "32.79001334530334558812289367369", "33.38372538965447611757895972441", "33.84399831454776611748173967182", "34.2824509820913727883322521527", "34.97155042522690183935330040395", "35.55465918677471294280431791431", "36.22325935899076080216808229360", "36.82660196265120889734124430197", "37.92407138109187258695117234241", "38.40973123402957252627011759644", "39.18270942300238025118780016798", "39.33387450942134593626619805981", "40.29161291516828485115911750059", "40.59059865667077725784233973313", "41.37063562408114375118881407046", "41.76188764381634809645199208020", "42.286828769563691211719492944", "42.90974901317464185982168326190", "43.74251288371953598176425024240", "44.490208352101392951304876143198", "44.89463183987617715479318790930", "45.37568013663514245688565407379", "45.73124302567850766557201783091", "46.74831892705711854576920543083", "47.44651847289117183709429884794", "47.849102565324104936794701140541", "48.92934951613850949148402621824", "49.29269005010261603122945530053", "49.76752844545239137387894280756", "50.08489960434492485474455810274", "50.98169391771305997650958193814", "51.782330889641335312993823315893", "51.98445929867724445591193960647", "52.30245412531866768669089098426", "53.04547399435103339614592896007", "53.59571711913995848790632006322", "54.34751502747155668246255087709", "55.10458744316460042108087430697", "55.81692685291932892976417396685", "56.433390322085234505313073898871", "57.05077794541649325213334307703", "57.4954296990746336491841066066", "57.99524246645139599146806271469", "58.36621335188961357014122518073", "59.10964249647565484704418488440", "59.95404764220249498196023646204", "60.28003601298023145681959237849", "61.07037368686585352021606769498", "61.50529211769752630698534957191", "61.97394792288773164911029200720", "62.484947652084724842328837232583", "62.992561883261283685907343470471", "63.79435218073229358867752539220", "64.58789268300669668252678590065", "64.830959138279232245091460372187", "65.65016860844984081817799315820", "66.24662621904291751797841152094", "67.238761585099764672609284236417", "67.47279199885651082580962600932", "68.03363443515274560706630812793", "68.594682009883801789429561808176", "68.8371882476649530011547901072", "69.49877178786368832807913142388", "70.09341759831636796435300251793", "70.53860248330620412017900974064", "71.50324154766256669077698020423", "71.911598218235625162772182148385", "72.28872286243711113344740339969", "73.302248609122025093703951373326", "73.65918640917107041833585625262", "74.29009099047503477157346492819", "75.06766541697684019258903192943", "75.41949750554705790073585467016", "76.03096740183058000140502600983", "76.52102260605683609709312173146", "77.25414077110445939363178809158", "77.6862427255228244978245088764", "78.35428296438256101987527966231", "78.94194665647984775589998777808", "79.34199462280494806724716031671", "79.93134034339899985573665759513", "80.56298891255566483216418364023", "80.994053555599164246428863387402", "81.298333887164675301749985648926", "81.8025961202486619721354328781", "83.31131993905318336334750876970", "83.656739076658830350997777464975", "84.25452390860763538376578756588", "84.58520473317845851833153040443", "85.13512004098407582109694496177", "85.662081523055834954223459593797", "86.44193813671789459171332791914", "86.69360240667326570925433763782", "87.33192226804190229644806804608", "87.96167152277631872747768179657", "88.21059288140742908962354178664", "89.12542964926493518822632696494", "89.57634462661557154487144460259", "90.03371366578592592157802992186", "90.91845190681089588071786217440", "91.32442989502013257115694738797", "91.87570284798065817714209979063", "92.351134686332666300931160657028", "93.0958870386313922122851933432", "93.83226382891968230780843349658", "94.126308565138760789166180999988", "94.69896639623991785646678612697", "95.64225296512051507899291520096", "96.05169750584900614899073388114", "96.48091965222411257571532686279", "96.68229801648854839700488393209", "97.382754029187431154373059649246", "98.02240607726244396208687001940", "98.300186161900977601680967117601", "99.281721349261876325656665095488", "99.4883969099968409765288387081", "100.256762766168462910815171334440", "101.09002154217557733751850041136", "101.445085056415896487835707967066", "102.23399117517592754704003676266", "102.91522124549029639301142020525", "103.29436356857228496694655878036", "103.51634706409051547830460885981", "104.26938147323563877760421986557", "104.61930683103679205821914551845", "105.0919482378379914115972256483", "105.997301751384611129948815161114", "106.85261204766299428612281509841", "106.92706589636001387068153742006", "107.45726029995723120355482611896", "107.91295023352020695044516137997", "108.556961868357811851822167473722", "109.06597762053837883227972517372", "109.74989010662160310112850402944", "110.39643414831736827210725220934", "110.97110300976795512618051554104", "111.68650303346877866644306242634", "112.13139005012152170153770591785", "112.77957691897878734333856137617", "113.259950949434707369466882738725", "113.63291075425671610321562536266", "114.262228494721702179747273224686", "114.6908723467843686870092935120", "115.47816740511195846176592233369", "115.72929347357078503958265400559", "116.096922085762876250244572031736", "116.64224233612519290609698088279", "117.55489883113914086520079372075", "118.18284431129751389944379743096", "118.59284862248972016321661008270", "119.66357247027058446601692754544", "119.78919006360149150825486002072", "120.265672920322284408758912049078", "120.76409239516501735945777929943", "121.29785592256201929589023617186", "122.20270855605138389952878146949", "122.48654688019201573827182255558", "123.34353808479206132199345685135", "123.45623350455271394881107209614", "123.98222710104902455854295330590", "124.68725911147017740952050246855", "125.351604356708243828967810139338", "125.72474806553491751380831667115", "126.23923228766276592234559701703", "126.53820667368864133863824986932", "127.314588448391174158683186449019", "127.83437006894207935037878078810", "128.62423831529543665679672324738", "129.29207676861920950796913711691", "130.03463717533953046037299398099", "130.29072317924086950081690091464", "130.82924793080746502416837461155", "131.354382404364104385187023638778", "131.71208208174385485253368722428", "132.304651489998411624420121592340", "132.83315009036672451155044020895", "133.261923385144786660359316053943", "133.81897680441193723037593760514", "134.52731642070580055588877472727", "135.21769020113887299813731898535", "135.65489064620582365668399335902", "135.96920506761096159804135696576", "136.490454271029862493986899164975", "137.317283468130543509210359058495", "138.25526665626862723720504537003", "138.44104016293761031243058268581", "138.73580569978556035977201519706", "139.41327241965001953242245643026", "140.027923393803128409377267515962", "140.49736512306345558870253645883", "141.441417819037223313327472076242", "141.63295385315508894775065089473", "142.22734160298175469532206348471", "142.65944331146557004972310881557", "143.18247281676412744498693594254", "143.52132940409393298146873328853", "143.869383194044196985156136882605", "144.93722502333599142859933016040", "145.113570713142420348138649348230", "146.02525996610289031335571048824", "146.861488673026952621369014871091", "147.03351050557883181077127054736", "147.76362116115543060594372756606", "148.286049445220534523609712093950", "148.58568727501843159380551636111", "149.421602612531794476540507784036", "149.84208499505535534017347591506", "149.90865203400911851813147694315", "150.71692025005069686205244665670", "151.4672385782964772973410122524", "151.94897427164731417437068296061", "152.14505876358173259734809857181", "152.9270570615720223934911579868", "153.5821254112478692400971796353", "154.12949242997192460886493803419", "154.31915466573442346236314000140", "155.14621123518969786085826742877", "155.61099600558200036712424358755", "156.00583155941904217714512464686", "156.928717766626064949547353988208", "157.58578971404874629478019368709", "158.0751606152630140111574192549", "158.50468279108826632409081104919", "158.76589908615420977035027551265", "159.63167537079437412329925701408", "159.81347346249252880570863188862", "160.31731608567749050789299668356", "160.99778554533353973315135030404", "161.547684635714374969907265711855", "162.047534800035495803481400021055", "162.41450602135250811461071509524", "162.800084729177531236189670210467", "163.72740851463857572710983863362", "164.63367938004504224055756158126", "165.09175058345502567422173082016", "165.29232646664779786066338566012", "165.866183039665985283994083835962", "166.57789503016370179979637305796", "166.97548043505088715697074397152", "167.43009687548898750981455581685", "167.76305855501376865971383470522", "168.577972298861847858564552335940", "169.282701032748048963031966026031", "169.63064940321209523816000098200", "170.16916770571179823461753684966", "170.78223186418115625770059367312", "170.87656908058957091459242084159", "171.67114938195428888103265909137", "172.00669366520636377371254629931", "172.65637658274999489411091121841", "173.30496613199137972489311677271", "174.08955845472835808433142505261", "174.57181407419066736707413455745", "175.03443426438447922816202193210", "175.681989676152630433984035091248", "175.9544852722504229052504643820", "176.797708667373544254159984930780", "177.26017133782442242837805475022", "177.66760151880316314042788744660", "178.156510127817928900621497397161", "178.278884759141405778645887865", "178.84030557319070973010224474804", "179.82840018881614879773079043910", "180.05887007682045241079842180107", "180.92752419922803662687564445158", "181.34012406093142822674346276297", "181.86836950237094787714042390922", "182.23277641493537496067689431820", "183.12446200056451682533657608383", "183.49055219810100679295056592191", "184.13562453305137764933372686225", "184.463541361363929980781740045129", "185.1618572072727177057653546718", "185.53963411321072771897251709374", "186.21200647779958996840250488091", "186.75181133330185122532848102773", "187.19785525290008954319897921482", "187.68203782585454276097809969008", "188.1818883291564768830934177447", "188.74631510931358635000832883439", "189.16101090255480944609039840555", "189.698015999407357816061560437123", "190.01114851690166633576270527608", "190.758836850628126751756455993818", "191.21658068511370859527072766918", "192.24253914873963406048057975577", "192.64563389886347968112135931197", "193.409540423102457824142946144281", "193.716830999337596910683261430344", "194.22008714778284545374453216625", "194.33602849576180009992614948657", "194.8434847788226143277615759692", "195.75493551378129990613372411019", "196.147737744591316030979413087819", "196.65534996991108117899783907034", "197.1763697544230550540979144565", "197.56931394194091887563320047839", "198.392794315537563570654586752488", "198.69445028570543012979995958062", "199.02685771182263167806868983510"], "negative_zeros": ["-199.98781061185882056296086604785", "-199.12115891163836073920124494385", "-198.95083949074560019236636701518", "-197.81269640785010671686059167326", "-197.12089094648356660393587500244", "-196.73184654470354753106146313953", "-196.381638410393427802528107110483", "-195.815096320331116085461471074656", "-195.398622704021365426717097084098", "-194.63145811020747004967558507655", "-194.24414843566097756813044384295", "-193.79050300581842929290650943115", "-193.301728500308854769373427230834", "-192.9260506930900547667675176052", "-192.43835979987681477785078043487", "-191.876655434127878297138989874750", "-191.07800672583843990818446522372", "-190.698000011199113700564201586924", "-189.87900862392916061157882393128", "-189.616557165069677835270194145009", "-189.05900454329953408450085953315", "-188.32093651738472851399472198365", "-187.87753334320941312586002893707", "-187.48144004954040610108124491126", "-186.99069149099687756878896685114", "-186.1977034209745574738292408949", "-185.686232582720500588326826185834", "-185.30512937334123311461809218262", "-184.68353627770956211994807669805", "-184.15353156181901827703626259228", "-183.78902776750336884452925553343", "-183.25003593742875155478527899622", "-182.86886402019063318326854348395", "-182.36751127098508785576530743348", "-181.62668887518285620276214559159", "-181.12267480206444210315441623277", "-180.68267057932188182333819831228", "-180.23966784302195967334900985187", "-179.04185894994113671617455235572", "-178.6788526308563615885623699633", "-178.16249387489769807778274601390", "-177.79181237607691486130539737801", "-177.234220725455907701072219241083", "-176.771653800446976560707245232581", "-176.460084025429598467452721576318", "-175.99388975660130152589910445438", "-175.24191188055313594613230240294", "-174.565741183005860560951571970581", "-174.26977530097055930952274063910", "-173.42304022255642058485486237080", "-173.135183759979415717908082663", "-172.70528367729780090315772844004", "-172.38286756306836365304141540966", "-171.313575609908228312578954707204", "-170.860774474910580148950078038719", "-170.32640500815723642648222404813", "-169.90419022477837547615983647868", "-169.45956446321591240801367266820", "-168.40275507454796542634235042986", "-168.163664900075485314399536338570", "-167.782114058204350717832043855821", "-167.05820021926273022477254818256", "-166.66949463964257009628851420508", "-165.98876579337803115629558090409", "-165.54976934519997848982992494248", "-165.32295433179600416412371665420", "-164.705652217342728817216103454255", "-164.34439865564214498624369071965", "-163.61558841979289906326005790098", "-163.03445681564311051826971003662", "-162.14014002569868626359441413643", "-161.662320110313643510713252193543", "-161.011919582848870388862987528383", "-160.760792883446924134459964063442", "-160.310844326259929789744641136998", "-159.626731963614494349662582217668", "-159.082620421861757265217957446087", "-158.44556379125942809420851520350", "-158.216351530416851051059672063901", "-157.53894239254452485459424728072", "-157.13838676275930644138238746148", "-156.50602504390086659069022493269", "-155.940953014824421775861397583130", "-155.28311757090460437179383102485", "-154.868117081745770775914616178328", "-154.38463538045817365643958658020", "-154.04155325367416852383883042476", "-153.53262224115528492440181576422", "-152.485696730229354194822101232537", "-152.34429181897710039616299069783", "-151.16010436267996507406121277726", "-150.94891080819068682400900145869", "-150.49029025642029370615447451909", "-149.768996800449619539216748583313", "-149.33406205427237175116513018347", "-148.91614480000692063653021317512", "-148.58807418814619456255430198363", "-147.91077720037071910265501356401", "-147.39645199835871738908077758469", "-146.84070873138180952615552152646", "-146.439899934705340394481412582221", "-145.68684741959096944350733568999", "-145.18351856531030233037571408925", "-144.72616144398042642279838219503", "-143.974693927669270202659902488415", "-143.38530168486131676534969083900", "-142.68578830287438759223886874982", "-142.2983507732696480742975317174", "-141.80216668798628268144153112382", "-141.47046253328665433832735056864", "-140.91072778613440647627045812520", "-140.42015510087677582153392690383", "-139.222600535282231422489515648745", "-138.89009738565748591814618976159", "-138.63746580236735270485853366568", "-138.42250016382690104151531675486", "-137.585746102285176179061165769676", "-137.13912339478443438443973819350", "-136.61094030597190815750176478723", "-136.077902219787969939694352956135", "-135.6138891235325927854757407049", "-134.5815118330844246213576651994", "-134.18968850116779169864230029239", "-133.546648574460381892219237866561", "-133.07832912423523986005587441577", "-132.370300728361312104141909461744", "-131.869272028599623338849927130910", "-131.51046548454070953269445893796", "-131.12044217828582662327084015912", "-130.313878646321785398881778748822", "-130.216879501695476265289125519622", "-129.41635639010298027312809530289", "-128.91889768144470893247821047828", "-128.36908356802954696644023140978", "-127.67617195395221230874447911996", "-127.19088312344625146382662112191", "-126.58527636604674678354879671920", "-125.94885708323293309276706964189", "-125.655456942062214649543653238014", "-125.11347859224619254367872305444", "-124.283452775831573992678258033117", "-123.68970679747273867649431703391", "-123.27078868090672621878220528064", "-122.480933695860642829253765147919", "-122.25607503668649536349828024986", "-121.627511397810540421341653495052", "-121.1017756043734179716147841844", "-120.66736009599900437410104219519", "-120.03631239619936312522391349435", "-119.367708010180797711530948484613", "-118.98737724561916249069105328041", "-118.77180734776980704851492957271", "-118.246522006772874692897524384791", "-117.31829517693355256956920390682", "-116.438193787486854685130253284930", "-115.94821047895235178356845193504", "-115.28376412076714443279886416934", "-114.93040862733662587465069889381", "-114.44559768626416912887564725950", "-114.122317770096890220561785947137", "-113.31340326454172809210190325226", "-112.785795144280841887755519995388", "-112.42948804086235374129230265001", "-111.927370368444392848739463823082", "-110.88804471588357739659028033654", "-110.719853396118759461769844647744", "-109.96682857056718290647988021902", "-109.81196253343740820388689579654", "-109.0614565555428046574534649017", "-108.657189311894649742326799508099", "-107.717246027062755009992081997966", "-107.241184706930672643264147438847", "-106.74801852153088743685567433628", "-106.1762363072893013301586449676", "-105.477430454994390188980475559166", "-104.927089715411119378080369177279", "-104.26470392335997831086029655502", "-103.757819243665542090731746253401", "-103.37718203576352633993155803979", "-102.89445104460212481182407783515", "-102.26312863299869134480593902424", "-102.03540539554173187532597946496", "-101.64974468313544649094605818331", "-100.44735174101683741294729104003", "-100.09783413046491461978806390041", "-99.53833930365778152615509256629", "-98.983326914900288700486322752496", "-98.31920421597876251716613997585", "-97.55064228230965343002885655264", "-97.03955208585910096639611541488", "-96.54280376235824906876934152226", "-96.2623582183925599726328598889", "-95.56771807239564068857885698334", "-94.90691637214755583406653512893", "-94.48647442225032396277326791903", "-93.939627988900064794927234406694", "-93.20695447612311841825352096151", "-92.574688961703245517037245907180", "-92.28259006824331353068714247252", "-91.74583104764750200020760668395", "-91.26360993264639260236989507765", "-90.57340331324427661405154793728", "-90.237968338560865922944549417646", "-89.45155206598179440453458089138", "-88.61531714081495005747332309712", "-87.816961839160956652294017843798", "-87.3435119780677143754682692771", "-86.98895114927963655930005066394", "-86.50870957069971389176025731720", "-86.205485281824592815418060532714", "-85.167099578692800337655392786243", "-84.95900827967318103170303390532", "-84.28814888339148008245717286491", "-83.824092964906305226054008329705", "-83.16778976229802151559641195238", "-82.92196252175576519623000235623", "-82.01131519404222842506786422353", "-81.31285276356824878029562764047", "-80.814736737026528118751992791372", "-80.1330258517470197126954725710", "-79.633114019263836050701290893375", "-79.17115088675246210163031000953", "-78.50997181350722829181740698125", "-78.11013796454317177285590525557", "-77.19220295344816178474385067626", "-76.6292753918300350029070923851", "-76.16295033660786265138204531849", "-75.80364404149793320930585399200", "-74.98494899660228231461411745703", "-74.64193316657194487409602556102", "-74.19551971293936971321943162674", "-73.609160792496677915413211278468", "-72.91657071393681024394755440204", "-72.52577959332734403346667184200", "-71.75603177760464585134454155713", "-70.667290903026670035107551410217", "-70.284139193926753450910028188800", "-70.14537476751693334424380265906", "-69.000673377962311059854280037860", "-68.48110359204596674679679752304", "-68.18548003008356908110344054894", "-67.686450966897393118073678909799", "-67.317477127141064653873582648713", "-66.71830432571270070542507403014", "-65.78735816921026367425296327118", "-65.237722190001444097805974560552", "-64.70448030495689733666816265097", "-64.16378582528513546904922424544", "-63.50976724504435168812089285041", "-63.34704681136958964872937583176", "-62.54556738602143215326210985519", "-61.55231181195969351839495512995", "-61.092980511971463362148195706029", "-60.48113892785596296236805014604", "-60.13671254064114505750015604316", "-59.251417708427153530904787181850", "-58.74817217738703466357058388702", "-58.15083899655834335992923742424", "-57.621090795408788280388548103273", "-57.07148882800712205474875536403", "-56.861706689171905736762191325764", "-55.98316651329129388720345434896", "-55.48159474248257838417716265674", "-55.087658089265574824683811193613", "-54.39649884823759481376534344552", "-53.26982336683299348120561952909", "-52.6313747022014229764531299763", "-52.29143427272672362758134238415", "-51.70504181142890671781653765462", "-51.11660515301865482313517747821", "-50.52479230624395716925626073941", "-50.219496543092845749406050440555", "-49.340315926702637868226831970905", "-48.624948250761458186873692904979", "-48.19526125864500891170528814820", "-47.53261104130016914681311624575", "-47.375683803427308200059134571022", "-46.26479313774369400685218222410", "-46.01334998786402563724531534951", "-45.153873719322868591500708919857", "-44.78973027469880801109343955984", "-44.21634223958495222356925069240", "-43.394468940788447158962363504555", "-42.42122698588242675633357798995", "-41.9022971271343410265525156119", "-41.34937472259586683731809628159", "-40.85685506873820770442231108789", "-40.44827026118621203396460324242", "-39.7593671486891320341113869151", "-39.27550051460261912148963480821", "-38.60043546626175996096314088209", "-38.21857324290145106186641978334", "-37.37261013216899204220990380456", "-36.69578171674976879467619042315", "-36.062689707588169830714400378204", "-35.63492969399490088672486580789", "-34.58187989846804952292111302107", "-34.03928641055535505449270221462", "-33.67145675567109198422416938121", "-32.69883470123853406618663243752", "-32.45444940301860755130521183204", "-31.86877735736091048122935670936", "-31.01004794890027468608132736998", "-30.487274820165366050147164115867", "-29.60636007383627688575509505679", "-29.08009777540892414996365067839", "-28.840898787041119170064006119033", "-28.28366955818592536161821859256", "-27.79242006928982767532611091356", "-26.85849346441190333306182118840", "-25.81270810137173320177743751392", "-25.35186391071603284499350535078", "-24.53332855747836707594108853780", "-23.99257065082383464872689929745", "-23.37513143195114754249816959821", "-22.94754977788900963353797547495", "-22.02972686599887489526273305994", "-21.65722492726473439719345307754", "-21.1108092345298156094330807395", "-20.645100405656128647096007930032", "-19.54657669839291668077005268315", "-18.87229060792889014700518370986", "-18.49211665012719054095633509189", "-17.83260216208081358972343521336", "-16.621504896800209876340743362446", "-16.48251676289216120466629515887", "-15.75646053763402872259431153031", "-14.95043567921220037072932756565", "-13.9845035812384453483847429594", "-13.43171338179236368887206167342", "-12.82482914548756986824762831785", "-12.2256550336111392490285622533", "-11.96956711398452698841575899712", "-10.777038629673809238908060164190", "-10.29148864153481116023578285810", "-9.90394665883589128611628645387", "-8.89062686480046734253496419536", "-8.16870854902358804338892545615", "-6.690633547222583368775025945151", "-6.36113180211180463797416008646", "-5.76619253442971244947257622278", "-5.14548345765292805949321024147", "-4.49270777649960397102181972974", "-3.57371664548502103422578704620", "-2.637917686066022529310765075997", "-1.81365452885779279268462071590", "-1.192322964296749034807816605260"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}