# Zeros of 1-79-79.69-r1-0-0 downloaded from the LMFDB on 05 December 2025.
{"order_of_vanishing": 0, "positive_zeros": ["0.244835603723904535812164964523", "3.223691371685253413153250890557", "5.12207485306837183711973524525", "6.14222429795289107897934507238", "7.75115269635902619607616855841", "8.91409277339960674175917411589", "10.266331977734274393969129404044", "11.11611107710074318901691123636", "12.5699402928291675758114149049", "14.74775312496614098471195918899", "15.68416759939970551670660746357", "16.0415314330438218328142699140", "17.52487302039007679515297440939", "18.58898000995772709015303720362", "19.62718898531657762314804200818", "20.96312116674077391536460697752", "22.53607004934361255953080848775", "23.17101885045431980136921227040", "24.37646971148439243259893732131", "25.76753654943630147440166313323", "26.64899781527363212275821899723", "27.514743035318708089775668151641", "28.381990380598412794358268386020", "29.18694979347523701179719103411", "31.13493596517722685131129298407", "32.16286064063798842066642819344", "33.006114080770892075105867847649", "34.38402245001524517452595233785", "34.74597865045346933829625697673", "35.57182565004541593343671567233", "37.20588805374532057401566340740", "37.970952727896084640690585963494", "38.96494365329951323595336664983", "39.79431794694447985859289016173", "41.49618937137780196175565579966", "42.16466002506091995975061518528", "43.39764876612810041604675831231", "44.17418609252914505371156211608", "44.99913838020657317090535560646", "45.79214265943921128179505220817", "46.86381685174093098333932480544", "47.608074376070411005067392049087", "49.43548083891128147741239910602", "50.53244293033782025560275647935", "50.82900852739725787479245273735", "51.907867752447641254506825803408", "52.74024394651684035588669679532", "54.30214310270690884425463897846", "54.76675533605894244631757970802", "55.32761421386459337945925487881", "56.79267198915040931259811291101", "57.43418920991915480519712873840", "58.67838942274666382798819990569", "59.96563692204273656932138565957", "60.9686450672950078784103122999", "61.59053527393282578696930338114", "62.38651779624473366890466259045", "63.23723569631156712840244670606", "63.89240669998066891043088977217", "65.23545419388285011454180986939", "66.20815087861463581547223087027", "67.23371600984850974478775808461", "68.13815092180869370206973970432", "69.241573933526657393513713667311", "69.91991590247310336954017161267", "70.96037834530346864457909499789", "71.643929544263689974254606429182", "73.19281129973212479319274896461", "73.295551084158449671351503722031", "74.20071652342575325683087326097", "74.880311079253642510113522745515", "76.791659873662278492816681165224", "77.5619888684073617218330309191", "78.552288847182146148667463793536", "79.04663237823144830337449951502", "80.00253374746381925520336246973", "80.93614033493920386858244572268", "81.5257661055937055925712085910", "82.66775253602242606080063265304", "83.70343063374575788658369879127", "84.24651694441592969418724140596", "85.76748779379165367387936418648", "86.39371102503362477174715214131", "86.995638080956064872678215677453", "88.738485691652888358746586235820", "89.14034761230070923651868823219", "89.95484676004521218387603083036", "90.609838401747011805678478032849", "91.39891553403803152007123344155", "92.45994027578849164988162641096", "93.23463731567994173594630606583", "94.51463413117201000581536156035", "95.668399319170416549386401014262", "96.482666230027406883591367044468", "97.19035170449026910629126608329", "97.50990915682880565370193407044", "98.87236717988863936264650193380", "99.59868359512088956782691576210", "100.704564699600082533558581694902", "101.36255980040882520585097208889", "102.01609229718555290560624128208", "103.0052287332349129980343997308", "104.16123653272292025297558290196", "105.49773146852781563529481221756", "105.8707083720607294444898904088", "106.712703433912050508265589602340", "107.855986065544354395712681990431", "108.2663679531276982922081250027", "109.27871794492974967402644310916", "109.634598708730052109736716481613", "110.77830184442716826388812216904", "112.37619692192905239924191459976", "112.888985306232431009927766658671", "113.61546790189827100672038049843", "114.646222696752921207774008885553", "115.44263383176101818575258854522", "116.219718068541862470122078051660", "117.210261926467245984369043819247", "118.0314878785607976980021155869", "118.66947691545240601666969322150", "119.436052140515771101358562660457", "120.42309076782637964030540499395", "121.07296443236430121108116601204", "122.56758811810811377878081424125", "123.504155729646130379741311065967", "124.114864054116137010509658220", "125.21653357407822000417973544772", "125.51116113118445118025190224139", "125.985531540651934954651499105835", "127.37441734016429454523948321086", "128.342798606151585182218907968423", "128.8508818059157955607103616956", "129.69392678349652867007415395669", "131.18083865606905813560994977523", "131.59890016761896498970237754564", "132.6644173357114712637852522511", "133.1318957145064281872615621781", "134.42243319177152018865544593593", "135.31356354975809489835207179073", "135.75126096967848793876087629505", "136.53220262696236922968784752713", "137.322046624113180808468139840462", "137.90640840930636230474610327743", "139.17038840418367463012301678223", "140.57709383298781455656269457845", "141.14577096481459709981961439265", "141.807259420473427571880530763298", "142.571395815830380582752370334385", "143.52680791966747534769152318919", "144.23971813233995400709197143473", "144.81446511333188633862302120793", "145.878769369632845693365856151747", "146.77178036829900308397226689733", "147.81255163139539756610372093336", "148.00735266287179359815750208632", "149.27236559287782844732998455452", "150.18753356662093547462894387009", "151.478182737105777242465841756867", "151.85261340365466984662428527094", "152.720901731011124262569409745337", "153.20162624665181695038215832006", "154.38884445635294358317541853691", "154.96870846168988685241816980235", "155.291910871477262696116780485213", "156.86370272202278247012117746535", "157.491292106446733867507651706397", "158.84421820910255175257913705983", "159.51384410618633041736412512303", "160.04267635398427124219275893331", "160.839681308561587990213652619913", "161.46517080351927447136596556184", "162.83160344545212253130666750208", "163.42360622861539347439078608167", "164.10614769224238386819754786475", "164.87002022048293283864096183694", "165.29444230820714614137268598167", "166.7427116850175645892472856493", "167.74316257208210896814894067793", "168.21127803682500865708386358954", "169.629910397797091417103036788", "170.055942882747458596946602224745", "170.839072441479699271595852579", "171.41442591803940538484582907223", "172.194668123734740732952439818490", "172.82777796729255542460057770121", "174.08166475820810441951483384070", "174.753661911818835632862761302024", "175.77078555347427832066281246737", "176.60173546985388322162089724693", "177.36161274392634222154377679088", "178.076612029594577027259324537691", "179.15214401074052800589075560881", "179.74777806698161114518156967447", "180.742500300855437107311908834063", "181.1353605215509412399002102904", "182.15036966682968509806407828282", "183.00092220568161456582952172810", "183.40380883521113673460332215321", "184.11507386640200846534491890408", "185.947511563908489471386991535180", "186.798739559501370754561010972591", "186.96840731358955887311595111753", "187.8706763206501024766325025688", "188.617252478964701694126534085491", "189.404128573396069061937669226087", "190.08735032319215350627529778013", "191.16907779683778296152845339997", "191.65833179742209210953277160265", "192.58271575586953604613267881732", "193.50379674023591923725327391353", "194.35918085723334239459041679091", "195.1352291540041967735204274663", "196.02073769556461765733916746716", "196.86224870575955741335607362659", "197.61047968574887034430516841245", "198.74810531147050873313639531666", "199.17411105333756861110662917516", "199.49683838920438643624907019712"], "negative_zeros": ["-199.856393511049409887445890971125", "-199.67250671745387812498319393596", "-198.66897279594037813849452809818", "-197.65205591182680299586783569609", "-196.95669088721048404356743367360", "-195.735115348141787951051471852394", "-195.142905164154047438320984402806", "-194.30613392698673320720239924696", "-193.66695674078631220494064016853", "-192.789170656282666184270671219144", "-191.43925104847137500713590421994", "-191.14807165094751438099616486447", "-190.66360269497519183609248901961", "-189.72192881822874012885785306463", "-188.71996226168239015952904912753", "-188.22878955548350314068245286227", "-187.5188919725241943161018241632", "-186.099503066418247475334125723856", "-184.97148481571297368080059061132", "-184.536406730187838321369748082516", "-183.74848566482335764688238343760", "-183.152766642946473141836589711203", "-182.55632045353565483385873320704", "-181.525037473441267864509771392188", "-180.47848540248382762532943143940", "-180.09564127862558622728616987796", "-179.0353315944807119389715194855", "-178.27569690981616099885691296227", "-177.5539430195151360559890111235", "-176.26156973935590062547210626977", "-175.579844476907324006405885006303", "-175.03230610169207048928216001426", "-173.82649318798645604492488204336", "-173.18760647179942941328656262541", "-172.49480333275327157072685244409", "-171.69340995159806674058016569395", "-171.290968945284179572324140806816", "-170.55115470873323212833595177539", "-169.01941928415671744081543643398", "-168.045374254520193354182664855830", "-167.45218503434755222364252863801", "-166.7610777956439015230620815977", "-165.64627924628187790611231935170", "-165.05046384267222432805977716157", "-164.61935780106069703482725944479", "-163.27264800060312184634383869956", "-162.802952199038273849539518363", "-161.61191517967252259634557978914", "-161.363993858240647853295361283664", "-160.28104245824222653316774489236", "-159.48833730335552846985743370043", "-158.41310079157022607071477891271", "-157.30633597550322818025212341309", "-156.3974469934976364461782095277", "-156.04904851703817379860114495704", "-155.25322777944586666285510905831", "-154.60834845242150311745532955492", "-153.65962120371043910540534155728", "-152.89035433174388868848653812985", "-151.909394202859944779517850763503", "-151.34224589811532414875125782163", "-149.74770806605104537039197046574", "-148.98938030998889701515498285632", "-148.715841216433899729760066940355", "-147.901601445157150882891052036755", "-146.68637636920432852413481885678", "-145.94443109758813901266598504757", "-145.014051167870646944861306082845", "-144.50180016218227688409296427051", "-143.70942452397094869504270528525", "-143.112886852042706253162456092860", "-141.98378186917400125635892205494", "-140.90420054266348824417594736851", "-139.496361722778307508860811552368", "-139.3981442642717254895896381646", "-138.40155914600910698176782376688", "-137.461072285680598099631022233577", "-136.931054673477712047653785750998", "-136.04273738632000094644192876712", "-135.656550746124873530403226094341", "-133.86507680089816065519762688906", "-133.595048872942958059515685179833", "-132.727984690473428635043556047983", "-131.618557787687378688471049700632", "-130.90631608197673240976635509380", "-129.71351659175382815329323343225", "-129.01376833982535467460729559546", "-128.38427176931442988910323312769", "-127.39213772079727834470277810591", "-126.502381681528636123818982495676", "-126.15136331693951701071275387950", "-125.1430845215753080891700616285", "-124.5326382993088250729434682641", "-122.83271386616672523751585719265", "-122.131690484161140172783887688907", "-121.079768645858540937924435328568", "-120.616704923333976527193913272310", "-119.948290376497445554325606472453", "-119.16020743521735423902725974396", "-117.845992059608874743485113256446", "-117.22502681593973157852741601987", "-116.47976240653198056800596588120", "-115.80159316797936846732880728631", "-114.62413507727041961351818385108", "-113.5882290475031467587849293591", "-112.981722456112423856081005452970", "-111.79090658487077625445199801144", "-110.82872331855554626655239819134", "-109.90641028444816098898915295866", "-109.57838700714996616079801977763", "-109.03673139986368825833959567094", "-107.654868889759508963460032483", "-107.24884989861145576025362498377", "-105.93397471849003375301055188431", "-104.62972260669589924532608428334", "-104.27996060441692686118201486131", "-102.96662741824277688567304763806", "-102.48655668179729846370748459886", "-101.572741572113440592660145361627", "-100.70361256466043163588436889238", "-99.70981261504083027750104932629", "-98.98337035512368443459024647684", "-98.00776622905041951467872299825", "-97.36225638226220628318101709308", "-96.86607822185192047120370994629", "-94.81837977683929746068803495433", "-94.154395449036250636351370853408", "-93.481954439720078873415326087068", "-92.73281531300663261335803612343", "-91.72773069994456230575075426581", "-91.0344873909603703520999052401", "-90.34484963864415277124270691924", "-89.32035963782359561270617187324", "-88.353191023402474411104612333225", "-87.15196362410436054379643799107", "-86.40256201877389382460410841548", "-85.325857695485816648792361612914", "-84.83116650301011165952669626972", "-83.59875121241380355943049608099", "-82.52490556325527933900717261445", "-81.918938792878040586824023402281", "-81.14043948997349142031055986193", "-80.55707053895596767288273345275", "-79.49178630480811204065088088571", "-78.298768360913370937309652137175", "-77.3316555839321921204482167888", "-75.9421521184260708174940897285", "-75.28962262819572163376201651160", "-74.755749167105487673727617973758", "-73.724746406376803631827072067784", "-73.27143220601124551855337032799", "-71.67481540573390374496424342965", "-70.93088439966635934870777021926", "-70.38104439888870593691448106393", "-69.20496529298450759872730069919", "-67.979404035425151263016581154973", "-67.263950658199675923114002449470", "-65.91998867271893446004474983912", "-65.1817871822686281151650439758", "-64.63005056820540276825891181880", "-63.30876616168264872200322918596", "-62.656706573102062946270929556627", "-62.32975909881446605756236458835", "-60.85522442696244795994151085235", "-59.2300147834927628312848534800", "-58.37360345592930466161142940346", "-57.99204136385732092227375534322", "-56.9214351380679038463940804248", "-55.67648328765297739353137430926", "-55.107272640976429303645784168086", "-54.011892354728246556133467347546", "-53.13169489624577583043035581604", "-52.10467662141370282732271249746", "-51.46716915692003784254799011093", "-50.02087965058516489607499823978", "-48.81410566949022872550969689824", "-47.72205938153346531046131639768", "-47.12346667836158636435031999364", "-46.16503576532640162109230158605", "-45.62342885345578993313497806171", "-44.4595678168613780758328966450", "-43.176990532503826033166452182439", "-42.35581296321110208954028763591", "-41.01908864189802228442048592783", "-39.81103522953466378115474310826", "-39.19107007620856249891366683659", "-38.45447401195698205600078953919", "-36.660028823149994697770304324795", "-36.18317549084410177433038807807", "-35.31321295288674911708431325432", "-34.51711203327501815563998832507", "-33.31305849710979262940959922351", "-31.287902564251973111437451305153", "-30.94767037100526295622005341596", "-29.4675292522385376657415986620", "-28.960805634176247401096551575889", "-27.920019579672066454172404320439", "-26.78338785743670325784899943976", "-25.85807155045161869790077362138", "-24.36112524477251815624281238767", "-23.320091550712195594741110784856", "-22.44203321937679960856791964052", "-20.7514581678850903934890529397", "-19.769676978444262551229022425471", "-18.910837066852939417763522864917", "-17.97582303691757541782438299832", "-16.62812068411011217460798171672", "-16.01008130694550030941751101388", "-13.603374934778381951262643720377", "-12.65705607843698855594804984962", "-11.571932556573552695492837585879", "-10.72100643730175558544002699399", "-9.118504368783636012737474240147", "-7.55574200607471852864632905782", "-7.04392505529466401157211476698", "-4.671624900795304244199913190391", "-2.95760829295619675212927762648", "-1.00294028475315768430039062144"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}