# Zeros of 1-1045-1045.454-r0-0-0 downloaded from the LMFDB on 16 November 2025.
{"order_of_vanishing": 0, "positive_zeros": ["1.433651643471600783671613737940", "2.508636991853682849938734232316", "3.26964946476534930089792998186", "4.01522102362365263370868820125", "4.81743010494326518603286142124", "5.98508236207885939837480964745", "6.6101113550122580973701935915", "8.30307170421079026306833921197", "8.851769397385548300431929592380", "9.84015991310680739324914967269", "10.3162679321211932572197201842", "11.205384301436451096422913334082", "12.21215225351036035172657856292", "12.97658659578704828862472986855", "13.732614366784288665139297622674", "14.39283282874760513507394756163", "15.30618041101701851362371814264", "15.8587963737937144536004578626", "16.644572403024269662583277390282", "18.057263267574849198708819102203", "18.88785424430635131356655700731", "19.48876214089973717441736538167", "20.10332914452494691164601959475", "20.937120705172167377838658822421", "21.62109587125127423634087982584", "22.10266945223657036812907110624", "22.94691585211940738013355510764", "23.70775071567138492767029617107", "24.66507025851800612660187270902", "25.52748771575485112597884397134", "26.12845630953496030789632772358", "26.989805464887883942049545703801", "27.83324235085763491409571841170", "28.56941274533335223311658571868", "28.908414934831246927506442285429", "30.23861419396045621779478753738", "30.616310671753686348924941510798", "31.36195423798301848355601636513", "32.18166772158528983847571925288", "32.50315822037224278043215461022", "33.19821585691900579553266087709", "34.01498599469234762141716759237", "35.06483998658660587768819180982", "36.12022874269681359706142704075", "36.47949353922102081175172904948", "37.70369815759412754111252957918", "37.821798372927195179489619966931", "38.584201872081747113254496208253", "39.209589292464718643743453681800", "39.78695969762720804406717134541", "40.8155194021290229260332025496", "41.38730248692622021079178500286", "42.30343219899185299314566155876", "42.527386249372835813571274624424", "43.58473395113454194573944451076", "44.27419850165461305038877484081", "45.2047097749534572153684042751", "45.597143242568100449437258079266", "46.4620375795579387572078555800", "47.513833903977053717253175508307", "48.003916725895787636422374748896", "48.46700743705030232764088656268", "49.032454755417892135400033603994", "49.94177566210784579655145657071", "50.41899532922340748272082691409", "50.95610740999023476119031612708", "51.737682059037061102088059724383", "52.62341979503799661237292582123", "53.61599370758036345204608126143", "54.42033289093879822349706613458", "55.02476430679270937996855732455", "55.24183561472627564913650490924", "56.17619402554660172732980005554", "56.79298041005142646180893289660", "57.47436285426665208122049095981", "58.205881591368835035579463594131", "58.75889030515195696698767990692", "59.71239742137616428464361640933", "60.08040592167799327134280508344", "60.80952302120258508311101185490", "61.35179607919084230215721201840", "62.10175355236745942601831445499", "63.037810804730253013487970758144", "63.91330931110902938351280792880", "64.60412444466507532172506024137", "65.07302196496266231213082203712", "65.74981638280733671497295403617", "66.4359608351402626632620909687", "66.98664557671344937880353863748", "67.58489828931245660444949973786", "68.17624355362974676969011254635", "68.57220647761727863900599003771", "69.88676322545388144533846696122", "70.27550934276972528414639237459", "70.99979927757748990715353517383", "71.956385259573419030754456973641", "72.51071310661869254166818929770", "73.10370325507078456710352440399", "73.75938886966885073540225525468", "74.53847360476149481679669344945", "74.798096068413523833107722939627", "75.97081458867508782150820624209", "76.45762195543198515377564089355", "77.14590913567096625804268128504", "77.621958980694618065039599953429", "78.00292184669395212926378226768", "78.890859554310920061104267483765", "79.53713590269675268637178858148", "80.18710804092238889768130374166", "81.39531834827676664813591017890", "81.78163211766207073858589892103", "82.73365511078747172857975947762", "83.110708207730037869032180954161", "83.7083507251097174144536476096", "84.41109585758249894052493709231", "84.67927912568100916771368644019", "85.48486152155679702254363578807", "86.28586752679150416838062186432", "86.9114586823338065332765585657", "87.483668208708071889671265532597", "88.21623612406965004853017600192", "88.783300434485762095134229401923", "89.91445377403599513505272126792", "90.119261866423806437737845794273", "90.83724431678864409324515307698", "91.549021218965808363435997986735", "92.423220127830589825833015433052", "92.95389447965994126647579305926", "93.577396178109572492178165111360", "94.31513163234971656657654336437", "94.65577670542391503082032829634", "95.19724674055400146428760094327", "96.15409519748966511983183081505", "96.58399782715543504674456287766", "96.83957092932487470355936042765", "97.91229301253632173912823477801", "99.04128839809527259611023548037", "99.704037871498729199575191942262", "99.98420538880313947961490218455", "100.70726697164932564480653286863", "101.359134352488525575026955702213", "102.00787117507400768216947665148", "102.31659382908147275868683093376", "103.21219786659922632869696122255", "103.80495430437398854325125402945", "104.35306725817571778298820002192", "105.32976174855667389570208245968", "105.6141815383982940462103874516", "106.38527421558123264931969010648", "106.79289259098589042774401846908", "107.54275196721905813744170677418", "108.612626448775158937639772285860", "108.96852893964678052953846104967", "109.88070703573667924537673904094", "110.396969388209235851183312820696", "111.00031235099335167998980489901", "111.70525148145249871325692007518", "112.24577332511480890591470333150", "112.75562563432309791844987239233", "113.13385178191105024826909050665", "114.0006881570942882019560309828", "114.4020271103744854344218519776", "115.29370402537214736183385399552", "116.09489075763626340013237128061", "116.80156301905732428165772506613", "117.23294667054769219293130387132", "118.356459957031593114376621079191", "118.6515274419297960770872641508", "119.05888729350918507662479991487", "119.825960867174113931909580271858", "120.27974974088303518141869912025", "121.28529610763330013726846676765", "121.915333677408124739192042989945", "122.21642444372166325863014946909", "123.02110643975532698576264110310", "123.46303478284128805847405793239", "124.061435335767841350782415866929", "124.62167994539926903977781593270", "125.499234632523478356757136378983", "126.151151630713371686532218353139", "126.87522442818744911782302422452", "127.88930190377825891273231412632", "128.20033056982965181224606617589", "128.90696418970120183080891681119", "129.1502889709295503684114159936", "129.99047589602119552241592654572", "130.37676158030979945629169773148", "131.10160740808383304728647869570", "131.70385140672611843591725863307", "132.27267764217416631375689725853", "133.09452429029477496371557853789", "133.53857385601386746998109433043", "134.45583124771771570421321652788", "135.0574353038999518574216074178", "135.654699413966550963903495720453", "136.33227050035582815281496590620", "136.73943776735750717620160898020", "137.4659862200169285850729507655", "138.49991164272861796731859553471", "138.72412349098126701967188716848", "139.23208009058803260952373987359", "140.10673834383676676836597700822", "140.52705404668922288867901921884", "141.20176150292866897064775384230", "141.6181733182603855565368769476", "142.162537489006264093209971870867", "142.7759019531685693608999821080", "143.75553487075055242523043187541", "144.65358314946284525986992934373", "145.242497528744549684634894182736", "145.84115775890948428479846856424", "146.112416505681583014406692373396", "146.942694631528600980182558623199", "147.46042582205186697948273123944", "148.155448503356219939083447308", "148.48308665812624793951490260327", "148.998140169093317302767549116190", "150.153778440733371903263005846841", "150.51858757021165795514337988458", "151.095203622312770964263223999471", "151.69610937797967022935319236877", "152.279338881004553492812247363618", "152.969277820462445122701686027260", "153.7539492376883431171687262135", "154.44632721816554728379968005870", "154.845477677261194464187708551525", "155.74636921819869369063938339212", "156.193910495443041316415670458095", "156.98687224427885595366887666651", "157.351437450350970908059042355876", "158.1569482262908253693800470564", "158.32218264665520873495943944427", "158.94342026083334181929932535880", "159.6204320970327215803381482895", "160.283467636830966014943691599403", "161.01693499354953405947280189514", "161.60282072299546790231282372686", "162.595414683316467114887214507923", "163.12211986143913342786908672611", "163.66918817844144111765674589065", "164.29692050974260616873156321816", "164.69383372053175300360327025248", "165.33630948929345459548690462066", "165.852440456779888663294876966790", "166.57754973333114986605928736680", "167.47578238267061679079497035145", "167.88766566885004235657620019517", "168.20102059273702720970926293200", "168.9466201997017138858895980030", "169.53059742467657725874134398638", "170.288141076075226567108969015432", "170.66550034735498137931772941703", "171.39585738351332760922204491157", "172.383620242668629859052323036950", "172.95029634157378311740855969712", "173.52235075540493625568289385662", "174.27619686021910669429382531145", "174.56905437870395766213496460131", "175.13693281695179943622861336945", "175.60964629671851384962797503173", "176.52586265577507117418253095991", "176.78372478991474629129388875680", "177.332668358021829395346730328578", "178.20515701197380103870169586442", "178.63127501062992327864006681358", "179.55262816062733555005588344058", "180.36257773485412709878331008637", "180.59253066028574329771223370612", "181.43565309457841578328103904511", "181.84865934689953758219787945267", "182.63903460590829260963237061494", "183.0301118017788331858700194389", "183.854266502974271232319533436726", "184.32906674399968372264524719397", "185.01772163750492414158998066179", "185.598491978922690489718527649302", "186.07647919386540890607460163127", "186.69374062045229469199372344396", "187.22415055056153184452413757371", "187.77664444438676984033957255451", "188.091715268498356862429667057547", "189.32128722586916183575822171113", "190.14481253735146347903344258160", "190.57469258134720799295456195256", "191.04059100751946356322280933698", "191.90795502224735209135332924142", "192.255274451004469898203569113513", "192.95959214431815163753562505357", "193.214125560425793836652009714566", "193.91882315592616404751529279049", "194.54970764419622066191149308470", "195.01656959352650491297795419255", "195.89672525771066516899949413442", "196.58118817696350431991703682767", "197.00619011060691955855073166707", "197.3232619858799675243760747807", "198.376570803417127842302273503775", "198.98345779813435148620639172552", "199.56224078845516263637898308631"], "negative_zeros": ["-199.91345992592716652133497520714", "-199.27516601169258497277440333366", "-198.42141963182997963592258407807", "-197.83648449591438851379325704575", "-197.46456310049302589642546894575", "-196.90843635433836926287724133380", "-196.245744614464630924288754403642", "-196.04654927663139646880116472859", "-195.10236293480092133890050544682", "-194.66660554901577333908552261205", "-194.12072490795514388113405721692", "-193.431542737643672446852862099516", "-192.75473873151386796851291848761", "-192.06963284668461178617449280811", "-191.31672099913383717072752939834", "-190.730608078458939966807268937235", "-190.27651961691738972837704783029", "-189.5241895857348151813548083629", "-189.222744970298545693340841825561", "-188.40098361533120464592839329909", "-187.64329730565715845096868329078", "-187.10081960834301023602009062929", "-186.77087626662784452064911738971", "-186.008449243754807281134980956646", "-185.39665342807374312955883580507", "-184.88467429137847160360224224922", "-184.365983672762934010779374433", "-183.94872981573304860379498428618", "-183.3107035895690580437653266484", "-182.09350545791193069784203952038", "-181.69139122490923163724594773540", "-180.775425244848561158761729520896", "-180.2883759105353125364660175871", "-180.01313193163318212222675306412", "-179.3182722364886226975370189659", "-178.61270005242732265877465219630", "-178.07526151513184681195314448226", "-177.687179432030337130378743880046", "-177.22561392816363709769950884315", "-176.16101931801624776067484704722", "-175.77111555156257367531634560070", "-174.967525704729164271283669767684", "-174.47939095858368500863274686719", "-174.13087318506608656042901026426", "-173.09859505367213554881210692915", "-172.524656677541374443950053611949", "-171.951450870185366447527542148040", "-171.32484868712998606999538958375", "-170.69987172398242957581594749217", "-169.99527826243452985937508215188", "-169.45411282873647052581320858656", "-168.62265523769748107937884326629", "-168.5161865654959338174463275145", "-167.752837343218789516800404986422", "-167.14615622448435304060374247195", "-166.978508364087393105147866762462", "-165.94315453322666941660797536888", "-165.42750118592899339087416937695", "-164.61101338524016074607971974836", "-163.87281793207262803188778699606", "-163.11797773484847157111845055606", "-162.51438411210162322391179304043", "-162.06050216587889312739991442490", "-161.6757660373758062466306804372", "-160.890474243240010016402912909988", "-160.43813175824887496740195257713", "-159.862593152606979559247182189894", "-158.9677819746480899017879573748", "-158.383462631928928253422911716563", "-157.79646231139564940023444068205", "-157.57697991511187670930622912165", "-156.75627305136341152566335255471", "-155.88164886479428555015380080147", "-155.62759154402254159088323294248", "-154.8399396278063050465127596712", "-154.01676052227515328464102971949", "-153.37713879390718824221169727458", "-152.55609624566697816863690547341", "-152.02349472575929943530838027122", "-151.80775720613331861328454608184", "-150.95313286919644374902648505856", "-150.47442217548000979753945982892", "-150.00341377154949270963208983185", "-149.30274563605940227741908039541", "-148.588875423940638460750534889334", "-148.40176773741063268509145063624", "-147.30484306681954678917350776915", "-146.707817641312374207536179270045", "-145.72163282025966214814458138258", "-145.3587322134358736309270309519", "-144.885924334354846966247660737395", "-144.05260465187722370042444921343", "-143.68468267189777250649287403079", "-142.79539367835640784185863274952", "-142.44606333006506963735602975745", "-141.67532073339249763355139926824", "-141.042499597203023038444387879730", "-140.26199350496446881810375134685", "-140.09909937865884951382592473149", "-139.24795953423612087356363799169", "-138.81200210734315191328130405622", "-138.19037345960358253585358972460", "-137.69753558677769274242982137708", "-136.29839783263143300530918724470", "-135.930180721901363177338090493786", "-135.25906524945481625886666752344", "-134.80727692644896256918138602902", "-133.83745700683423680371685758565", "-133.65142388329143814268356003424", "-132.92070247506624106576029725557", "-132.55622112344434924622911865352", "-131.77314919734823616011351683513", "-131.36803843642084128192484657755", "-130.37109925536438094153743217114", "-129.86149731655627901225311711781", "-129.15526770679024469223330433785", "-128.70469326338124035721697015694", "-127.907274407869976403467851984065", "-127.027265445676690329378755995446", "-126.665536356726073058155941796738", "-125.82649420542188274898604011875", "-125.653081359770008320924383800136", "-124.53266302018049660141207669809", "-123.93917352761237047149231596007", "-123.39982117724491692057455982735", "-122.86333883075690715700129429867", "-122.34540345712657899228056899788", "-121.809951369891218016326251544828", "-121.189135752483644190846226069682", "-120.370174280119399859695108187666", "-120.11486163658992343562622085271", "-118.89428521545275993326592404456", "-118.20111289397584325806657319989", "-117.53009780215763314751750282955", "-116.97598062784652037331977386211", "-116.214200897281623550098470903", "-115.96494880771940629393359131434", "-115.5649181879350603916631227016", "-114.5062957465119302783321590381", "-114.06951216926715117959541246698", "-113.30116819075497842900475375056", "-112.8254795768247815292473102457", "-112.01230610648053551920184368274", "-111.53938524642050031219755059293", "-110.88372792159725655969502075564", "-110.20264243874496559541270885217", "-109.454938791087688081817091022799", "-108.87281349510952234360093007323", "-108.170060829835569811956477126491", "-107.02838420155474283480392632026", "-106.91459146494872474217272375165", "-106.24591025484477928598407750939", "-105.63895202854653297543738414925", "-105.03533749953236393548817531701", "-104.31684367783335875550523786220", "-103.9500137967739455271326025067", "-103.295829094554084043974600813956", "-102.80779871174188346181633673568", "-101.73139647358024737884821071909", "-101.06659643516853343126185723477", "-100.10603251126043526901870455444", "-99.771286548118658817863390822793", "-99.22638663245040808680780405688", "-98.26470512790307025882629367565", "-98.02139007552997746655961891664", "-97.347454396697115412211431012994", "-96.48269370519320625764065710935", "-96.07950774561664322561369072045", "-95.272356302928715345183567613417", "-94.44263634977418326179003578063", "-94.12870348438170602891340001232", "-93.59056125660231603578333545991", "-93.078691910876342351875713144328", "-92.04082392080929996294898946733", "-91.45016757799020037968366216522", "-90.43417826488949473002315627839", "-89.95021526880163525881811801490", "-89.15509278324031106232729439315", "-88.7507348666717208487483891478", "-87.95194903824370490553545987552", "-87.52457524586138009569372505962", "-86.76659094058220918765808119698", "-86.63809759082160155730917629257", "-85.69033208449068167218334762149", "-84.75749731868610885411271372606", "-84.285159338196153442862547674189", "-83.69565456205861657059527752483", "-82.76670229339349626945851032229", "-82.01236108634423226717104644235", "-81.45104517664181232729600604928", "-80.814148403333532270812177222703", "-80.35045442950035752275177519953", "-79.53461662254564327791463300799", "-78.766402915365982367874295629005", "-78.02993157150434785001761682388", "-77.49658995985980345529508909832", "-77.13845116034031677167773730306", "-76.389051139790457623497517614680", "-75.64999327044712510536301350921", "-75.293625800634484649385282306872", "-74.35959011411289537833576035176", "-73.73710373584557350063066228345", "-72.44190196080363928366120070975", "-71.8500245222372838457560536356", "-71.601416865504389805915525203323", "-70.83270803260838026025415194847", "-70.15997899349820347400741324783", "-69.7324738080960898269965108825", "-68.98037175614278792123373880743", "-68.34492656028651330042827433119", "-67.56290676452747858699864718629", "-66.95771269998559481306202927414", "-66.34232706688727972671291544208", "-65.447740367340208026048120566328", "-64.92386796315759245683577416081", "-64.19368592247650415108705938618", "-63.55241621737025170205989850292", "-62.531001108906273728348882022638", "-62.096369936187729625377370957389", "-61.28920302887859518882987845094", "-60.5829233440289932409396277535", "-60.14927699110533225432076332188", "-59.39959630044870506629654758836", "-58.79946432562691017343358428984", "-58.240197068263398138015829403178", "-57.677865256387309087061296740437", "-57.051908416317066091918117027155", "-55.73785549845525222301642203182", "-55.157145244033388975948506614535", "-54.30049005706061314968478014236", "-53.91515198669401583863450914157", "-53.05490642068342739603267214941", "-52.48127932066949290281819891529", "-51.865498831062705801322121791544", "-51.434124229309905657944911270541", "-50.376934794990288648164118545770", "-49.62439958441106737704647697453", "-49.1229929788725160428125918535", "-48.51286174570407261892672217012", "-47.701612276386234948435438688804", "-47.39096812393612236238239286849", "-46.12845119005627157898591607338", "-45.47278853248968090666660322770", "-44.70900737334237395257904740982", "-43.96445504984642772831162689989", "-43.129600271330586168924902316986", "-42.58534509942492069756211591627", "-42.12838895733343609080219500698", "-41.557555325336266436018947099799", "-40.6609657268810821392324199326", "-40.20296311015418384483552315899", "-39.32387996422844907002800198651", "-38.43509546526585264784346079114", "-37.82319770360396418447590494349", "-36.74964444190290375237532726059", "-36.04976915348575710067225563979", "-35.47519682222784624309811875817", "-35.11388391685641672729531314252", "-34.0428348284912339212230647653", "-33.31621148897218044696871217108", "-32.482417816443228879635513265914", "-31.97483977741727810344930112869", "-31.40357698036691663143122028087", "-30.47620757488614120012087220668", "-29.97627653240980687320338838155", "-29.34303422490886699874273487518", "-28.331096703730329758118452403156", "-27.1001020776161227443026452782", "-26.47657335019436532954230669761", "-25.778024467844926783878321955247", "-25.17708937442755408932355140025", "-24.7171151791883608291863191824", "-23.50705380987493367988496407225", "-23.34229725192387857211506679422", "-22.45054197701182283655210335097", "-21.55141856906120500849671467206", "-20.55681484856498112178425497811", "-20.094309239522505524560531198773", "-19.07536250442886176998620484925", "-18.230154545438367977718237874488", "-17.62696194996315963328838469513", "-16.56873579924401231717269866990", "-15.81607932342723709274834655735", "-15.23313923710043927762772984740", "-14.16680043780823417235334576005", "-13.54465246792963832743649282645", "-13.1546403243404187456426329320", "-12.22942361104237980781826163113", "-11.45457591978414702027303186088", "-9.9458112660417277213664664029", "-9.221833953138382042436963564172", "-8.18619508625649099626744343584", "-7.68285742641852492848746853116", "-6.57740193483586047883759276154", "-6.29716002919786909217071856219", "-5.04859199734971065212662396455", "-3.78306534378757301141725863489", "-3.29028770642624689061332748711", "-2.28379849608183942156647499752", "-0.63969324451093461524935304678"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}