# Zeros of 1-420-420.107-r1-0-0 downloaded from the LMFDB on 11 January 2026.
{"order_of_vanishing": 0, "positive_zeros": ["0.526838685381652222100906417033", "2.02359897824396613168286740701", "3.13709545177675729799077973991", "4.39333926027289140036825852719", "5.39386348380666874437025799411", "6.43360626213394056195638997274", "7.64250731558098140484033334555", "8.29166802534649320301777329244", "9.69269583530282160160115700013", "10.29015135913559631703221862526", "11.3908266766722709672273248269", "12.48382006697561026416555346439", "13.10192543987073478540632987448", "14.2418467346139678990984936941", "15.22026223910581052787362992589", "15.80180370218556262258854896567", "17.08141831742969032966507397984", "17.724643338498765773502115888610", "18.60766363852978370504019264954", "19.687132620337775046089576236341", "20.341567884440367724973302705501", "21.320215757153344429112565863095", "22.12043423773576471713291382962", "23.184602674686962019996963277032", "23.65827422995753223867971359889", "24.84632623735305478513530148543", "25.6056128412741761204418837925", "26.24986283390103456859627260011", "27.40493376476799488758385008659", "28.06884956379025809541604382627", "28.76957546171312472423155411125", "30.07894385825122851509173411443", "30.26816180027536916903984201988", "31.49645688822704742309402603597", "32.19769119824625954490951429638", "32.98530416743909187268535515401", "33.92905878776685859934788067892", "34.59537678789916282480756427504", "35.45319243534536271376599204144", "36.389762849598234398284649685971", "36.95975546261760275383427411550", "37.90286311063388950362532250334", "38.78242524851118180336873054727", "39.3721652258982496461476299195", "40.29609808567009249991154566993", "41.138222425674954442034208838631", "41.82152866646396874275058843252", "42.62592938912294001983936123001", "43.49914920842945773906316382245", "44.25244897254138212312928637738", "44.93357036347824369584036241689", "45.88668286160411489421218022276", "46.5197171776913781087689020474", "47.54720980653872374867000055756", "47.864014554679346177782193903590", "49.245194722666936423339136773585", "49.51845810791784050820961037707", "50.3433499674632925643579913049", "51.48048816792598076186640436094", "51.921747060603337391501350653550", "52.666123273767194787630498463911", "53.660664787501689256854696464974", "54.39513200167533186286396198887", "54.9166227525985423235092075062", "55.92036995863337220661647255088", "56.65902911700398900580424626378", "57.35619646134354079731305063040", "58.034868050231380976739798206881", "59.053376534861633025545936376868", "59.60084631215671854374815887030", "60.33762350115236480230313751638", "61.21304425980048203793824519532", "62.00547015911693112366054818865", "62.567742341567629894009601843958", "63.41965082707553524404329765540", "64.338968807369920971522160836945", "64.767816133456425945094553361288", "65.75779798465976781885492206383", "66.39643876471572147781635265835", "67.173436364564966380625934532337", "68.03878565519999151320906740771", "68.47435367137695192597805050921", "69.63698173644163368406382486951", "70.023327776983164094673868453366", "70.87798918438850926529458004881", "71.70356259749286812524054066447", "72.37638902853026673740235515991", "73.07454572749983982393528513498", "73.96187123336986909529041434994", "74.48054291549535702772739506181", "75.48095300276960081658948814216", "75.96231309633050252850161254115", "76.85859519946515378588285184817", "77.52086900181447047070973040159", "78.2908985772411493005590032315", "79.12473877750849324406151278832", "79.53052848971353970070398038997", "80.70690611930057918514395870563", "81.15276665377571251500935057246", "81.77775854870490003232790454899", "82.8331574136202725428249054727", "83.411377084662845179145604614004", "84.017067896713479637557141414478", "84.82285756622295704083470943090", "85.90275627773989832227267936882", "86.02465373116473143794879413166", "86.99595101454436879831742879519", "87.90560077351564500948565287169", "88.42213848074618374264284253854", "89.12907960489402514946079165079", "90.0361013909312977665778291326", "90.53427859673823093866596754429", "91.58439251827933389830872783826", "91.87571827300447717023822938607", "92.805685770686021342042190434411", "93.71716836192558842822861664442", "94.1390804285997527526302530470", "94.81880296710680197220786291948", "95.92974945731740901706630042223", "96.37850341636871174849657067530", "96.87049708332471920057035498285", "98.19539761456087625605756317095", "98.29600279206909795696592285024", "99.33669782443169635960336793450", "99.83250130770960461705991616080", "100.849575106383201034912510423457", "101.36480432601758747817331125400", "101.98871654881868070071966169423", "102.951631865335147406597839306073", "103.50244962844134251200240882832", "104.17629471371465784121656050227", "105.09214667680070469981963161695", "105.492283834878505439901121021", "106.5824181517212139747217551885", "106.89136597857359927427208275422", "107.8898260777757794791996202482", "108.40262246688053124504597371398", "109.26420901855331190987356269163", "109.92499596924891709714330954878", "110.50756915452466024759801696471", "111.42566343549774046759691632925", "111.98181232302376504656589426752", "112.71159792770745491961634506411", "113.4289933496652663977898896534", "114.13952225024298324064150859905", "114.85157157337378948417288046509", "115.52691272533955603549725635748", "116.21777814607137859207955314437", "116.92224260998934520349763846289", "117.7967498211410210130192378169", "118.17353959106525975325312103959", "119.032420850585467801393135648935", "119.89051913201487504023784295746", "120.34692001982408754447520403582", "121.07369926142607586096471825700", "121.91028981096599297903972735849", "122.535174020528757325986216298187", "123.25118584039904635903988254630", "123.80902075427234088006796696183", "124.71115640253667574867198877322", "125.39696051409838857715025103133", "125.898014835273811025653054317641", "126.64325393969701477145804992340", "127.58420608213630069202930211344", "128.15044069193621915078725307900", "128.49278130180570764847176507391", "129.7821665378143494993331483424", "130.079986789957165574470955347887", "130.78699066350579622183498007950", "131.54066513407597642748175111174", "132.374705401350134787403787171630", "132.91157515174398897584396611894", "133.54355128079848413461055353663", "134.40800967111219032463387083035", "134.98325442942956598431618508814", "135.75311524677881373892372136890", "136.3446538855610231375463499638", "137.03282629561133763572575594807", "137.94789781744955862045822534245", "138.328390386270990235233954851277", "139.1562607422469886947507728294", "139.7950528590203952740615378675", "140.694486234002279059407771082", "141.07268048043646411051491878090", "141.84204254476828333602369309129", "142.70726046021957993869521698765", "143.24665624372291107314392407221", "143.87229230360049052018099570493", "144.64321273677386354463704235115", "145.53331687938646698345544815284", "145.74701569843134961024909934110", "146.86326012332295544994200565162", "147.24003618063061268588379144071", "148.17261787659581572232568513907", "148.59998421498760483596300231897", "149.559074355360691029045798692908", "150.0599268744024862979186985276", "150.65408049174599217876274296146", "151.71740068569980965705283357828", "152.05580902415904136967000873785", "152.64478812481208807538542461180", "153.75123504428698851058440006164", "154.15639868562626533547133341266", "154.6957960457731152668936450598", "155.67366266081926886697836619070", "156.21481882817177581357294796618", "156.89049811395176214560508877004", "157.58049102754434743808078266274", "158.22244922127308423999413902845", "159.01839787085356294532239477522", "159.613950593779198043462023767630", "160.242080808407243650017205029847", "160.94358014594350875260445971324", "161.76577349069686794795166637887", "162.31767528881693885055726381002", "162.863793517672601513748402576441", "163.766044324853386158706437648873", "164.39239125865659445271596600923", "165.05056215291395219214552310127", "165.51995642329619605135283263385", "166.55543982169078494376472209537", "167.08100033961874224045133165510", "167.5857799258742974416947438399", "168.39278662332872082709608480352", "169.179231628427106197169653856", "169.765982156884747894961115594659", "170.28737374177032131925890927232", "171.12303328817599279767452218884", "171.820416696997461440447768720730", "172.55757739707633442745095962914", "172.836297941112864633058565008192", "173.949491908953001461176663702991", "174.48474229012220351652239529913", "174.982166939536407756075846707395", "175.84691495294269812876799250901", "176.46941773310317929399216896986", "177.108024244903838279841274226999", "177.899651992660122238059021244466", "178.313598225763567182610164780081", "179.23047574324223120506960855447", "179.85721515249293118764425889815", "180.37491609688549145399491179582", "181.15122316364901375185941725259", "181.98492676613995824749212091632", "182.25368355359933617874698300619", "183.46761269330467961481417593214", "183.54347813530115843922920741463", "184.49418301887693214093022846594", "185.277096003188485174958049220393", "185.70398554833343673375873728926", "186.51854490739043460677548481037", "187.093397377336989009912211558485", "187.989333913689616379839715731605", "188.3132798033813251082570818320", "189.18315830639037140678394757229", "189.85305776178443656333905458822", "190.41425255036986131753255953043", "191.20762543532380166332139806935", "191.773728870627096792878154403524", "192.43841554812217350941737271765", "193.15801581966938660940642387557", "193.85268544308159940063141884447", "194.454650183662066395827814617476", "194.958694672770472117597528935328", "196.07186175450062808648413770332", "196.39949704727821451412509068303", "196.8708258537381145179859377915", "197.924204212262123003225086345993", "198.58675389262719458664860620910", "198.89499180039619175165057182739", "199.72652750263540726912405796354"], "negative_zeros": ["-199.95128278024331592365544559003", "-199.4320285452059370728898484056", "-198.39091445133729451604773527205", "-198.1865787185496850472569562217", "-197.218623248200344904038805450090", "-196.70920716052028266014691370951", "-195.96855138537021890615858549179", "-195.36087244787458480057775682401", "-194.59128199035544327062104177184", "-194.040072935205242334751710488553", "-193.367323719020133122421098035173", "-192.64785610866672670168292154703", "-191.97093048502687937588891998836", "-191.35840365774505086487812113182", "-190.75661189298151840540142457109", "-189.92746611623235952422489147795", "-189.303793901217945674864920991607", "-188.83475116009474506474380928795", "-187.85464209276657098332907797734", "-187.46414143927512605935151236273", "-186.66982805660714708944299907407", "-185.968895112830893118883600577209", "-185.42025365459730695120397792553", "-184.68155063915998189587476581240", "-183.98703998059932568868390977892", "-183.32983943698216116183916935894", "-182.742459589417929266397196157562", "-182.05209148239710944815828468426", "-181.24649915000218972499172314253", "-180.563647497575722835453473166856", "-180.318632066284563862267086463740", "-179.154721984013109467055986028", "-178.50588156040519913134403315409", "-178.307577450608695016165818476250", "-177.29841412684853225534563064560", "-176.50801024848254838443143552247", "-176.0793906588134590733860427870", "-175.40008406646823359571173901220", "-174.61282018416952305545480531806", "-173.92344420247524606905739879970", "-173.35101564590503244429250981050", "-172.62701391158765343050609147988", "-172.08090732251815116253598979802", "-171.00276365817859687104446227801", "-170.80492353267049203584604455096", "-170.05800834172219417463538937997", "-169.11575622070371295912150544510", "-168.68418022018175706666329146495", "-167.773670632480654978070547266487", "-167.52982444695745113951290497725", "-166.31447831912195523547606333201", "-166.02809487502901859071657898415", "-165.286635375864262524003435975729", "-164.53188055372343857869860216080", "-163.899519210054237841682340168296", "-163.09143852233995120012223004685", "-162.64579036960072122498040873447", "-161.90669322624177874430956267496", "-160.98632219859782526310425431073", "-160.61648534749130097259178983451", "-159.86973646451374308938453645409", "-159.111563288731877315924980980999", "-158.42904929406547061809955604518", "-157.797356733020100014186901181", "-157.20782618450518052676435516192", "-156.302433770745959991793229477105", "-155.80527981795012586486973562673", "-155.139254122648328940479142697614", "-154.25425414900902485246439788786", "-153.852342043009319916105609987500", "-152.9760991958502624479721245412", "-152.35080688702605916300454337692", "-151.697884871253785483997289326420", "-150.980160618299365653041115999969", "-150.35521136153788996197730587678", "-149.50732658457733543676186287903", "-149.0268435253730285404733362461", "-148.34651715248357947539222413230", "-147.39331358641075975334335840472", "-146.97816551181648376529212955870", "-146.291801609438491300725248016338", "-145.49683284141196579193143337718", "-144.7441277214769558974790630290", "-144.224138447098447505714106766163", "-143.58677541679343864166367449773", "-142.5014365865132957640190734044", "-142.32885463158450281351375755383", "-141.38944403422139318909778874862", "-140.68840282403487571856216953905", "-140.15330201703997059327817547885", "-139.18914273530696407896140808854", "-138.72025149472262610656686006773", "-138.1381457962742707371489572632", "-137.13333157239928870602939477831", "-136.44435981837586450916017341706", "-136.23416970349137429415957282441", "-135.13056786178271663449757641771", "-134.41828395235254571433729388241", "-133.898140187570064861383364767569", "-133.32400660001795099118710949393", "-132.25315455302453871294451488301", "-131.76119365294602509564512565934", "-131.247509517419159548346141817309", "-130.36183780187991930221910111107", "-129.48287650488899465811558770349", "-129.21156913234458662166359247054", "-128.25552848657697896863303546765", "-127.65199260829228350461097972838", "-126.84643791189838907736860095475", "-126.25092151733847213919960961671", "-125.58752084259034584238912047172", "-124.79144747668616279612520239779", "-124.103189014736906634576604125171", "-123.469323006732832254323281861869", "-122.80356957816897720604127155159", "-121.93541202834483621064640460316", "-121.43848287741318101190263250304", "-120.512453519121901197372852399538", "-120.16323178184763557562146898550", "-119.02513751239588469057748017527", "-118.66289626588147932392675099525", "-117.938477817827537706559822617667", "-117.02807618694710573053610144007", "-116.4861862590412795417594866872", "-115.822362833088810347541195496603", "-114.92735858987960317534295077109", "-114.43600667083338567327915403372", "-113.652877554163334371399396664727", "-112.83999263138748974894233271471", "-112.310940397650209678161948284154", "-111.58913287955165240834799779626", "-110.62571501164693578063118291946", "-110.29599781837886546973290640103", "-109.34962568869392047697673134156", "-108.77947109128626404781871879288", "-107.90543819337897952232637718940", "-107.29507807434488990080731378599", "-106.72846375675741392303424725752", "-105.70412948858709691879539787090", "-105.22081084203889818937985813657", "-104.50837420384794748128396438243", "-103.770321545601154957450768262441", "-102.96663346116635918980631753431", "-102.2044110083231517810339277385", "-101.89263477896057186787027780617", "-100.71302926182667990100943000939", "-100.13470624640113519939687128870", "-99.67348188521937699061122420490", "-98.70201623635098570453031620238", "-97.91018435929138477865244874736", "-97.50044112085016661762311690999", "-96.49640920156550203428116196467", "-96.04796170863342255820107405874", "-94.95740395816698361622731969374", "-94.61562138329300123216829332534", "-93.79988822021432641428888570780", "-92.96131821986485843746065222317", "-92.16818660236730039766877501261", "-91.817006625879511257086943198442", "-90.790817457454295890402781828431", "-90.07710843696169772655648898164", "-89.45415845759935402921423924967", "-88.81459658380896008810239823543", "-87.8421702653364603560830265246", "-87.210222217957921303849352321856", "-86.70164095480715930390738251488", "-85.70781964256726360430366027172", "-85.00462301967992582656546696855", "-84.46676044747064948662440781352", "-83.6217211424981529649535957876", "-82.704814926042549269669775062126", "-82.39097876790712062448847640147", "-81.26226243795795391755603670627", "-80.810573112562677282439756792463", "-79.97070640034802413929952201909", "-79.19129712491410164861327074409", "-78.50881061992150550235896739990", "-77.830299935117598884105451291388", "-77.01633272643375085864974751090", "-76.06757750428649279523848400784", "-75.89654800097243200961994777160", "-74.58799644568852529302186150300", "-74.1997017289300212000547123396", "-73.41017401709358827679153788333", "-72.47251575856718257327533556644", "-72.01125823955473587270995839264", "-71.01287064800052613502066452889", "-70.43671091864654442708375028571", "-69.69339142872674527815268149649", "-68.833462035116599078321003346697", "-68.07504147118840082028402931260", "-67.58432377707379719492749839242", "-66.565634744966012704602059029653", "-65.77447796638263369433160304834", "-65.38076299838113081135952741477", "-64.34822376451877295892935606720", "-63.55382836254258000902456537976", "-62.992142053866834588675455178897", "-62.23409812285966064488785012609", "-61.23591192148544975066072924202", "-60.66742826572783120985223746073", "-60.0281236855448894342493318925", "-59.01439103090585262939387578378", "-58.28743263599815415166838423606", "-57.78772473463007690905587856889", "-56.759557208394141439765079991942", "-56.05957864091725020844754176576", "-55.334001455239021604655650077929", "-54.630239003614921030802614974463", "-53.68759628517936982139155959181", "-53.01573398752792365273804992985", "-52.33689134887206909487479186601", "-51.45126742969367495626386264602", "-50.57319881187226632967136421632", "-50.10672434092044529095292887500", "-49.08602091601446960914320785101", "-48.37118110495971369155652619795", "-47.59364614465023717927059215913", "-46.90501441128877671095468953253", "-45.9145502217217777434031905543", "-45.34385677180025517159621224351", "-44.4405839153537642767264751715", "-43.73810309248894184974172091366", "-42.777881707472064570200318677261", "-42.229983382647070526067337794256", "-41.276678360395011294105833630500", "-40.475399266899065189537338055301", "-39.81057873505311533994105874521", "-38.84695044919343232294614162441", "-38.1739331967023509690322325248", "-37.35938723814184034580069148927", "-36.31946533209305865016465715922", "-35.97669853911942825750874615155", "-34.73738768485307030697595163435", "-34.09015381507426999929417598608", "-33.46622455616317693050282697328", "-32.10003626243250049980889588057", "-31.93848314691203209812812465991", "-30.77944216450816662456212892070", "-30.01223624420694645186727830806", "-29.028433824858056379774458126978", "-28.564733582161971261161508790686", "-27.2644320514922242380924241352", "-26.83978521547234798569714517391", "-25.75658456530149135868062519151", "-25.071021780643746021815138768890", "-23.9334938065649561375887099948", "-23.48286222552092610987267378207", "-22.37520239463095997947955220690", "-21.426494282551480692479700870113", "-20.88547958723925768681303570749", "-19.75469567658133601525759646096", "-18.797089649814561356641089773047", "-18.32078642807974005496532658505", "-16.95520043367058573426607873161", "-16.368491317507570211916054568346", "-15.48425562190542985019700819362", "-14.17328767513794663200436729546", "-13.84167992176810061519367086375", "-12.46496903884925628311647425802", "-11.78668077772905774062558886439", "-10.66026554010675502445387450670", "-9.86373493184672129822757506829", "-8.67045770212350719498517033158", "-7.92841361529069897905080006462", "-6.69107516094919244102366006112", "-5.79946003035810532643039255446", "-4.658227504014382444246808284496", "-3.53525145674408484963749600530", "-2.38297658287480656294076215321", "-0.996188950512290141695270630557"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}