# Zeros of 1-1480-1480.1019-r0-0-0 downloaded from the LMFDB on 27 April 2025.
{"order_of_vanishing": 0, "positive_zeros": ["1.391943968693907920100006943286", "2.2360236697842150796120062445", "3.42763608410950654444441954419", "4.51955847406330323609634437600", "5.44550072993214540462444034380", "6.04571435208424772367211711265", "6.66247080050495761421424585343", "7.97974382547926749143229438927", "8.35628021200937753392456804272", "9.59730919933766291131984085014", "10.33888491761860335729236583759", "11.25566513406418490076605526149", "11.826439510781358039149186933440", "12.55208022134497285788682276407", "13.17948754425312557030426620297", "14.2367140662310001090142146222", "15.07338534451446596785554949634", "15.807341506220385572880923778938", "16.619229152908274225017557167173", "17.290540544729909885822858137406", "18.02322584259099385389335567200", "18.63816901306789994406057675217", "19.39327679576268867783953973632", "20.08816563538560170435994682104", "21.55754950772083414056949018960", "21.61121436459345483162219257846", "22.43853729886028616598053523069", "23.134204555703366131232002484884", "24.08301076881604481865873117656", "24.55829191728422125077468738977", "25.10242851563695749037637220043", "26.068730597740146626251790952786", "27.18107603082111346890791338847", "27.54752980394109282522026474584", "28.24702405369885806559478011887", "29.00460422300119936439519485116", "29.643014034066455480643962605289", "30.17248328852681078813842217891", "31.087234855959639988871951879", "31.797682794307158363352471057104", "32.52970446754313500121745818031", "33.30888556697639767532930993184", "34.119078657808462589390069686024", "34.610328845627571574918560725262", "35.21392659869158024424779515070", "35.68376691284204097874454738947", "36.76311961299713107273605363419", "37.390355518259312051472218898400", "38.09100133856034664288478563890", "38.77461608728616047270322548279", "39.80040444331610248155725145149", "40.03860734568957919064856547765", "40.680343115575609840098113776484", "41.64996441011508418603867751426", "41.88617275953604372537667541111", "42.71271612161859119413169485766", "43.80615425557703447876071950369", "44.53826047429041550069137454050", "44.63201768067545999351633017216", "45.81893516791086079773171605284", "46.15788638340584358082214530186", "46.87925325156218746608737648845", "47.72236687982143540951473957377", "47.93897714279673606125127199332", "48.91512568622874028003856172739", "49.88867493671379690458333283699", "50.44156480151713229512454455443", "51.07300714035942838836139212375", "51.45181518157773356970733718609", "52.323407069828002390514053384776", "52.952913623382530827365257107416", "53.61232088742259463832775319571", "54.05825226951469873534054155791", "55.10317399953948783709627530024", "55.68327347503149509492711550808", "56.52195530629524897932484594969", "57.02375998591343721738901362842", "57.515901891115977390469241990134", "58.13821423776446485436687214381", "59.0537940993353138875323496904", "59.29322793092710887194749731489", "60.27498726963446043308239041126", "61.140060988593775074945479940490", "61.50127905776863463104901079346", "62.26016431627261956137640561273", "62.9909011230408746694856167519", "63.72430289817234165114824465911", "64.04848812894012194706092628620", "64.38950422443598119966883485103", "65.56213138501974626069366963134", "66.36721672422732445829640430798", "66.629742345372833616182886564856", "67.59486411101713969659956417210", "68.16897294628258785029362421500", "68.72377724189746653616165183724", "69.41734566707543872618594518773", "69.985184516303593168759518461587", "70.45887080053809921877754127759", "71.25338443657702248337024551155", "71.99182988266690304939121518679", "72.71763728802571807030754102417", "73.565508750212440950554541431595", "73.88962023976812033399312092415", "74.36694843810148612896015105766", "75.17206864642146266648679626810", "75.91846259513191362927802253166", "76.35779707116931903172912861523", "76.92858637703185386371443174657", "77.69679952176065413357857290954", "78.64574030418752275024721249399", "79.246137993616045025095491431254", "79.63383586331508466491313555030", "80.237686471302832788780971297225", "80.90382918204161362286404500947", "81.57590013793812247600916877207", "82.042108548598507067262743660650", "82.896210787021774079395166840379", "83.40422138821419023012029957869", "84.39703290034323654212429735476", "84.67139385143753119838667450870", "85.59623349523533902353894305314", "86.10617038272840483438653922793", "86.530121091660066697839756939706", "87.13693396405269123837806006653", "87.84056418210941101426962452843", "88.51595027181968391947565042126", "89.256575994178647920385852144", "90.039296790331419286275352935149", "90.390456566589593427533290435399", "91.136117867645827015935545851966", "91.760123236538010911576714067843", "92.47359966046610633827332104717", "92.80993995211746558726779884645", "93.427422549694997504528384213138", "94.0009920418826409761613406037", "95.26192491859193859201653722642", "95.41887231966430695047636856840", "96.24563975148503534462671601477", "96.60634603914942378680097975855", "97.539511481665243236551650753401", "98.063073502136046058202411209449", "98.31912570692319797988530548555", "99.29000197051408364619277933144", "99.73102564916657010036950932268", "100.35292382475263175649457602278", "101.421773173509300421328066853401", "101.74472294249322613233496997156", "102.487823873618219996706634843946", "103.033791929562322072663515749024", "103.44841698468718261740029961470", "104.116291583332351158218438979319", "104.82986776669951088114051149425", "105.45033799969651781497504333741", "106.13124705594499203649485459204", "106.45882660062393967127585660000", "107.736582755009331428683030608978", "108.115255280040970774183145866786", "108.482008917100455525768461740995", "109.00413182311765885376762915615", "109.909469747026804583648340252746", "110.246214118212068976169136025400", "110.986689859395301237950388486169", "111.51543909409914488201948526804", "112.55816251338514453769213351865", "112.912764695135355087563621442607", "113.44014036966620878171647094475", "114.27487595967798018181732789503", "114.83059687245855602555315532591", "115.26981996999772803787390735890", "115.902597258315151338978479419246", "116.330048729899785690131451037751", "117.14207586489314465570774211908", "118.0640824827542787245825661343", "118.42584656691574766847173524384", "119.29612757359716175146806530248", "119.43256169035786890880273224024", "120.34894535897816300449169237684", "120.99221617092721026968206370331", "121.38202942559994627307779129216", "122.00532839415111377178628718731", "122.459081702008265196814756440278", "123.45128869691487063162004566278", "124.03222099127001398776533478702", "124.74192381237278628035282484160", "125.16800970182777980945542868171", "125.80686850367268128477519854570", "126.31064260356398489614436929324", "126.8945479313932287453089610280", "127.70265960372074232425614290251", "128.06830260450793769414801406549", "128.60297956888252162282376811216", "129.67346145324559246004009764764", "130.05691620649706636126752660227", "130.72313801901238931717269062072", "131.38655575862832039621245203438", "131.9895590990666153588119600262", "132.22835888773266713640571801928", "132.8624797275973524482474399204", "133.83232940692601249035148511468", "134.115229378498769265143108496436", "135.080147676772686434902066467609", "135.33055109507994634896096031991", "136.26414147766327110266661853688", "136.89301339271693482165019936596", "137.363274052939336672005284851786", "137.93082898210020832465179099853", "138.24239797473080216886696656912", "139.14531750019723328454430040404", "139.63760575177527491121756937566", "140.28828334834643239382574817351", "141.030944447730002637254037862797", "141.7740856435081416455589904489", "142.16112411414366803924394490716", "142.68041537610729929580360328467", "143.407524999976865736462852785298", "143.9649879148402696423006008792", "144.712100391347581721765340126878", "144.804458878162211489937672538262", "145.527297908031431609015877195519", "146.640197910581081326145210764347", "147.04372858216939298790850863088", "147.70206928780926849771872565047", "148.19106859242343337641063137318", "148.628011109356414341971313024418", "149.400155231449917514084898830411", "150.15375358054607027227487465085", "150.40658003932721055715523940246", "150.84743187148741251395778283782", "151.84987098301624383099799452640", "152.43946297220426836718472367250", "153.07463046249230361050822484534", "153.672385176598537779818382159264", "154.27735543908503503155864709612", "154.66297830096296899371657653112", "155.38036225947139328802717853331", "155.71959340794651190010816424172", "156.56639104339670197844845388478", "157.170004916451650234524279170929", "157.68609709250511998165049605925", "158.33741846295028729070566405804", "159.10774975649740836812106255117", "159.820834312309854695272594299134", "160.01802614193349091722639752998", "160.65852340328427671360111704541", "161.38910418324154945970791042458", "161.71621321288856309427235974413", "162.3080159466780327407204011479", "163.35378640722589262226486589847", "163.73484076527940259687303979367", "164.23392449152812349427148465863", "165.03045404862167263413119468589", "165.541517650346520151283983357686", "166.257871749723505723594168923161", "166.617212388741616669092865540439", "167.04481547906345916512946149411", "167.90662813487977577528947326471", "168.25952399701655229934481144984", "169.04475495976152269732305395356", "169.89087424627658076017390803090", "170.34585438653402723687791311179", "170.82284665226151786379246788616", "171.41084341919766922030494329920", "172.05955497005962171981974751078", "172.631152172022575870750331008747", "173.04665208350042682014458946108", "173.80031660002684745246670227599", "174.28580373490769592500619299936", "174.781060839527442299625079896555", "176.005163908710048902796340053349", "176.2788440832924920982688832337", "176.7423687042387793710396570859", "177.19993979921224338241649292471", "177.88730037470709925629260117433", "178.58380234603687560311414886474", "179.16330307770804673454591827926", "179.44106212839147072025697219442", "180.1944028706350884910326691429", "180.99144155520954856304706729947", "181.72608893810021817811424413005", "181.98896525364385804516019494707", "182.70533181822282387723322651854", "183.37867506079186850797257935116", "183.84609677078554505280870102122", "184.11453707210727414603300632207", "184.918280941738259710861280458712", "185.55598661268983327852654137939", "186.32455589086030230767807869906", "186.73982290086352349429796729761", "187.36995837090031487256702629108", "188.0649947186515991044605424659", "188.57102435008934263231616152549", "189.340950945053245138696165519990", "189.586025443664685551260180458933", "189.997412277991357755840951114817", "190.852804712078509270818705395", "191.33489781678877063839190567304", "192.359409061126602893358717778449", "192.49432956947453192435624704199", "193.38604129391783518497159353876", "193.80845219840800467473568227475", "194.49212453886839093000514932071", "194.86530631804017812715885757049", "195.70127204732075465611145980874", "195.958367445319961650153239884132", "196.685543335192883007613777096898", "197.05988518965014850852926892813", "198.151386105042201647825653555583", "198.4970598892341811262641300085", "199.30847556121897141667568038040", "199.657767977980494414134575471038"], "negative_zeros": ["-199.857815954126507018717236825488", "-198.90021058810169766714842010392", "-198.58423976735885651669500813965", "-198.12047789584837908132119134516", "-197.49892731089484079191211056085", "-196.82432060253341133362771084594", "-195.8990751036099283406301863022", "-195.49845997737640116910636105335", "-195.00060948919843373421657673366", "-194.475544327353024410889900343451", "-193.85962119774107099343916712822", "-193.29626479693720200831465914348", "-192.66578957747191578479690791294", "-192.42361383057797061177531896441", "-191.33952647348161432051829337068", "-190.81835432694132638373209878640", "-190.44791878016106305637386069922", "-189.646304358872248948524843634269", "-189.01352189655923114152166230049", "-188.422555651633967736948449463790", "-188.00269655966017237853037837727", "-187.70630023971020656025746361789", "-186.921486633246232209344582632560", "-186.1456304539516079807192918752", "-185.753428695280842194345917143610", "-184.81073256170275623893750523858", "-184.461099915134417912192727519698", "-183.89546577158885105268886596182", "-183.16703971542973175630516483942", "-182.59229319180125589026231749469", "-182.1338703167876527921614286630", "-181.69064935103373268332478948572", "-181.0198506857237612420535987706", "-180.457777937337086153313884136422", "-179.69885860031059623273614041426", "-179.03638741868228349310427931198", "-178.37066943456840056550654201677", "-177.947058516103537157743236475585", "-177.45294534484882235011359574456", "-176.84834375817204263286014492603", "-176.11430443078523893145672201726", "-175.65906140107479304728988130590", "-175.19795408809579656142500871378", "-174.55172938885037169312459973150", "-173.825132960212880466737041896118", "-173.01068318891922281896827669074", "-172.5470981380123662717786645355", "-172.05927706337373242123259222424", "-171.35748206186106492654583879168", "-171.008953475987611470772387142807", "-170.50823933298171832317023504246", "-169.481383934733958658123194944563", "-169.21628952173958007918571203015", "-168.687505434091411727260737880", "-167.91761708547716520009351324300", "-167.07256295355913231340556140070", "-166.51526261098790007720788310267", "-166.20581982294096901573045093695", "-165.644696263928919043690211801855", "-164.80680078169169087825760792668", "-164.40786028389714387283016675847", "-164.09920639777397319609574968386", "-163.078472666833020813820584152409", "-162.53883299196896949567814849632", "-161.80601779633893677537502037057", "-161.42418101858122344058117839655", "-160.65839647080760377323938120492", "-160.193629104999530012610602840363", "-159.45321557892578968062450012727", "-158.93541064704952538019922041731", "-158.68805056368435045773482432620", "-158.00474795072907006802090516613", "-157.17485335319997637115729616447", "-156.24969469302416868732376489932", "-156.03294323902737263949537033764", "-155.50639453402114909606358407381", "-154.67896185447419044591562180702", "-154.09116406338979614984101162199", "-153.679997646211762178831777577456", "-153.10288449892532048938972614439", "-152.52954971379379988825241600179", "-151.87413941537394264613271796298", "-151.273462759055183369020670484471", "-150.52461180156793936413133495398", "-149.77239098928358578547789398532", "-149.31664468565795731986480190314", "-148.86278257483986624326031958728", "-148.23960470484620693051592793971", "-147.794818271001995241478931660914", "-146.84336483010905062652833560633", "-146.5038069811803889051683930561", "-146.02296220599969468885675990119", "-145.20176732943374620384765214704", "-144.41339249744820470508732810792", "-143.76857184299682378507030266541", "-143.49531494594220299856837415399", "-142.62616198689039747412494784044", "-142.34257518619556975786480581250", "-141.80935593551094159362388597208", "-140.86858211441187857274186590709", "-140.536404567508055066846559215137", "-139.82802841055620964009373887064", "-138.92378004082153722141896764090", "-138.68940060504521876411562109612", "-137.81074127353249704972908090266", "-137.18968089571784682077103417024", "-136.84964825402258198634593106263", "-136.267260871619438099627193397078", "-135.55279090565076712251900550634", "-135.15817382786877355686394719369", "-134.37803076899458182253760635339", "-133.5214243428510660459469176061", "-133.038756794078948652622503483732", "-132.401396470022677982802364255489", "-132.06594019705015200911301368443", "-131.09968036912244287542718715779", "-130.69003081462473294195074263933", "-130.217145014861506814242416343512", "-129.47876055288274625510789640754", "-129.20151832185499299748337505825", "-128.138900386324841191868592529770", "-127.373252616526159458212959744986", "-126.999700252371610507499512831", "-126.399514356480090259389692832568", "-125.93336403358046479677680761425", "-125.09757663359155152604116140819", "-124.579875349714787987750646273579", "-124.06391857509734062293422180275", "-123.70331973208348817293370606182", "-122.53596060294821530819347186620", "-122.1701583401430938893525013584", "-121.60456426799579214023759229147", "-120.53198681905343909826997322135", "-120.2116507855591304889036692466", "-119.92127350663796783435923147562", "-119.24976919907855546222278307221", "-118.47759160426229040018709528145", "-117.887830246132747417835775540604", "-117.25206265824122447339550955596", "-116.719325672213416811980719346129", "-115.95195952105833131789754638028", "-115.14514712848266777649104365595", "-114.77091975790244444193055875773", "-114.00112495663375664487597938982", "-113.80644436429335358304799924863", "-113.005801913637682514515685789012", "-112.4093671900144433759695445940", "-111.79266071908403705718898514482", "-110.94207260332393735362393330425", "-110.52048528206743676812368616870", "-109.53104906861496645987957545352", "-109.34279554843356796140122716523", "-108.60435002851051452964728912719", "-107.97669728401025661696183299151", "-107.21033927495124791314799366376", "-107.02078412805838828699949966475", "-106.430968073281431127817502040994", "-105.36451706635490337432823229604", "-104.70083432204741907780963314040", "-104.18786377773403098386593896294", "-103.66880506204717051091042013863", "-103.044926264303675210505058953763", "-102.19962500813918606933717404012", "-102.01403980183744516314912734145", "-101.14820099397348804203905368051", "-100.6001289451275585140445450913", "-100.1711875473695081494329546904", "-99.09291281711961300780689874557", "-98.40781409198065369707635464365", "-97.94135325326459831948478022103", "-97.56132228875440677953250512835", "-96.75455493453014294909522591500", "-96.10431679036079935756447564356", "-95.746031433020073169202820766029", "-94.8931279884750235782707897599", "-94.39341087951451259727544579591", "-93.60211933895986822842349293097", "-92.86073564941286181177571906338", "-92.346473734886258706505135127575", "-91.614491651976089489519956872400", "-91.13804843299898734482842511742", "-90.48596187904863619722907897486", "-90.2065350008629921089709018152", "-89.27528234495688533675129353101", "-88.49803841282148557232753437991", "-87.9447764148917629432199990962", "-87.41166542634357656474054842064", "-86.52853853543820672362039344943", "-85.999043693451897232340203150419", "-85.29224300997760721080163168017", "-85.00393602885737525345441743615", "-84.31162152615093323427105315985", "-83.66996332985741141207796738954", "-82.87082340851838151380123557768", "-82.254053576438921885028623773978", "-81.44080695539340249179951392129", "-80.96614410120748157397555895995", "-80.102598602722636569713900161957", "-80.03190021129434145183769786454", "-78.954376374441365643615465951824", "-78.50651476582996517196801768850", "-77.80315128562107232956015851404", "-77.55867898217975881512757603695", "-76.25753401689038238118819740378", "-75.68303064235850963727420055092", "-75.01967545201817264740005315475", "-74.868646929052553944341022221838", "-73.891081985601858774492203271671", "-73.31578599691499681432882785821", "-72.61473572828540009966144122433", "-72.30451977084860480248891265257", "-71.37229326451924237634004911480", "-70.683655455302365261324056777643", "-69.96141739847938322610455258469", "-69.15944334186679011108840527952", "-68.8832206352397570876229736639", "-68.03657767331062456637340044053", "-67.76434633648151861112338140811", "-66.76693076969437800963860526974", "-66.36612042893705640635084595783", "-65.536015999549135440359830488739", "-64.70233068988437576806426743051", "-64.26532234733738566159825399083", "-63.511859632687855665345460119897", "-62.6535068595457387846101150008", "-62.31109037658050723687942224340", "-61.87496084484413053558436090511", "-61.08004083183959540948842862911", "-60.310900608157156433431808487212", "-59.65224441334827900665556015934", "-58.7575419525938843219651250533", "-58.25142866268494778222444960563", "-57.81794931151011353342562087628", "-56.699944259565153442281319225753", "-56.42999993683727269051921660389", "-55.77627371231578868079527257775", "-55.31347491636127980664688475941", "-54.31043976748361381304477715767", "-53.60036593510642512601651955531", "-52.95148928720966470264558400344", "-52.15940539311218107335262445086", "-51.69906511202288849295540749144", "-51.06780596970220079166610063772", "-50.488385485472085745290722455636", "-49.58577773887811565498012959426", "-49.055322406690044756551897147713", "-48.666641722506047749511891033940", "-47.39147051803977241879911396112", "-46.81491861731949731269140116227", "-46.214881514183501706460078909808", "-45.69205457639419270970277470626", "-45.15410361518988553168691479397", "-44.155149030144097941737993926566", "-43.7421010120472062158537910803", "-43.07749844878131192978423489348", "-42.15070456682272966373087238383", "-41.47875412716077324679925173390", "-40.54265494129166280854986708301", "-40.37611438035285619400762659478", "-39.40385330268712479150260891221", "-38.882385655618682429479120663", "-38.34135685372620572928820996364", "-37.5806893752211263203685952532", "-36.41175998198483331052925024895", "-36.07331227039926336826819484811", "-35.44960745293095297246094200971", "-34.351635276475726307595868337327", "-33.97414202609700193685920408591", "-33.36670314902695044139633373515", "-32.599565156778692431602265712471", "-32.168977750101724075681255349090", "-30.93699087281275411752308685653", "-30.35368462808026508474764671108", "-29.69305970677998644272050864474", "-28.80043094938771627407422746769", "-28.52760425955229337091814304786", "-27.41035200786388703989128428084", "-27.06613460217271451532366799709", "-26.31757092773240960367653686449", "-25.537107041489851428692156448254", "-24.32699334025177555242698375882", "-24.045920639534098872875348474271", "-23.07609067910648692633857521785", "-22.66215439501616799028880150037", "-21.819309036350690741763061792289", "-21.21930871289921956175140097212", "-20.17148874367082387955595876756", "-19.82635005903844612001604343187", "-18.67649484118705296768079802602", "-17.7517246347444667309708299100", "-17.34271450640264537674728462877", "-16.69280506951284800676141122943", "-15.87436764760076931176077540278", "-15.18206553484824326771133681297", "-14.17552050578562703199822934110", "-13.58471193384518695661774586455", "-12.38347887856496093503887632597", "-11.9632216923498739998685228346", "-11.053342335050269641816617522133", "-10.391721193844327677381413816514", "-9.65336624344276045158279967813", "-8.91100737031096838266423993198", "-7.544030642762439876287706019358", "-6.844815202233352819604503562240", "-6.40536279404903704162879323889", "-4.918016264100677642507751835612", "-4.59827834774779735930949390369", "-3.8337509816789683705181837077", "-2.39026017864687116135568441827", "-1.3013737053473369708986311664", "-0.06116688435498746323296181004"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}