# Zeros of 1-119-119.117-r1-0-0 downloaded from the LMFDB on 26 December 2025.
{"order_of_vanishing": 0, "positive_zeros": ["1.66964190584675517191055878309", "3.148820570718655601170781698319", "4.19207712077848890037897358089", "5.58587414013420882282616172723", "6.464128784606674833106805852351", "8.74093621045659349462629139347", "9.86813501674525895398427633486", "10.70794646603880999468173880237", "11.78510280070205889850113020509", "13.403653109877277378084340669527", "14.10613346725756424340116207224", "15.02718521769007960706347601356", "16.15346103657557562082884745544", "17.34749077030737839873596098040", "18.8991628080248716450566505410", "19.99341465326220808863649552053", "21.05383118398341826301861977989", "21.61549298514984109089162130269", "22.47632427498947247247283733089", "23.48540169722834527554402419556", "25.095228016518249830640386935788", "25.544786448591587776329008713694", "27.042582252319064947215122728131", "28.032471254572960007633677297586", "28.94957905348786567382095993260", "30.02207282479198909625495795237", "30.82331638864078915938312784204", "32.13611727972944434717252452887", "32.62642096707021213266043480225", "33.51951516884268862084317737195", "34.1855947026374194492887345711", "35.97782401812857504341535218358", "37.2863621914824985220916025407", "37.85708786945862507998844780841", "38.389382198942406382225552179761", "39.722861327452181425710062776558", "40.34861907407064099332290432127", "41.2651896523842534043812968436", "42.41651731818782559594434213741", "43.13110102475155700115355192230", "44.233612474632385286738762196933", "45.43367165480948469224061370101", "45.8494737041891434709932077222", "47.45386957506157545303495884109", "48.28113441467708847038923463483", "49.01260062333133069078250322712", "49.61827191396763294478296621175", "50.601947179929851624129990942931", "51.24074040305563462871217627933", "52.42019776436308952393463645858", "53.44511214197059389952239954255", "54.67205725160102021126106763463", "55.695530658196390046037501001479", "56.164668580558048848986839390904", "57.11811211363322120323958806264", "57.66758083677888362631556853474", "59.0176189988738332669133586437", "59.97577873962673716247228758678", "60.40764968586838860890216947969", "61.47117688738479961855216088765", "61.92280546770765608213349412566", "63.60674978206061141472752301399", "64.446225375216648034918378784833", "65.39125742844330907377078175543", "66.015307312479526075213764122939", "67.10238689472955489142773799826", "67.586064313514196685662275535829", "68.41458712420809772803201637931", "69.18490034761926382738823839375", "70.085359706317067868553052609497", "71.51379708523747221487584925380", "72.3013742632466666810958129956", "72.93393443107428449978714712416", "74.005177145369262790090557972505", "74.65599392462593682433704338120", "75.71601797728089810942222585734", "76.710681558814587897310736648896", "77.194540599161572544581808496914", "77.90155788817581989840991876659", "79.12165857268674696077408355068", "79.50057179853105762413372054464", "80.40893051684761722384856260255", "81.96265599976576805358707537203", "82.8286450400465521872540603805", "83.56133104085635967103429459089", "84.282027725756582520492132642560", "84.94956638778077704427639261577", "85.44598326278899555329851597572", "86.74600873909275455754652999545", "87.59655054206885059902074794418", "88.20763861311781101242445548663", "89.1485123484692793123612434111", "90.07917580855830689341326153728", "91.26983289570464804674670212554", "91.73815414206748861189943909913", "92.66121436391949069880401660510", "93.67126979908540467572466409796", "94.46602453609707348378845114563", "95.2996610087154841930859338586", "95.82471648629810956440555854322", "96.422479829890878851064372089109", "97.25557675135351341541316898935", "98.40986683803511989878762055111", "99.96049331750352847102477170739", "100.07185326331127576288899702117", "101.26140060214539214083424525565", "101.784096102407953668770661998874", "102.70434441979273448953347185886", "103.50453307490963814450396359024", "104.041297957833349140582963971420", "105.142171790359605764928567795491", "106.04919585487525322112010439034", "106.64116451873277261074200175271", "107.37241017378534683545241076659", "108.45680249719102751244733677180", "109.15579159415268022590855106287", "110.65489195285451157989538475324", "111.13568992973836296127161314630", "111.75769647969192023811493293237", "112.45695896155093448035154297821", "113.30368013477522874356041328725", "114.10687400407305074436842920289", "114.600664130339498494984513476103", "115.745084562984215765878624165719", "116.48207943721282325728914279336", "117.71399951623552474222536347851", "118.82951455294221805074692606645", "118.975848223508370649413791637084", "119.76534642060916194241566276600", "120.58637567105282304240822140531", "121.818821568059427194551820157910", "122.24243039535991650553545275381", "123.39554599550368238251937639431", "123.74386721835851555147854245063", "124.265633216619155346858125899123", "125.42847909340998233633473460099", "126.33504943356343422765837933970", "127.56105495770694574677101485731", "128.05120350847273203146012458612", "129.16210744530407369981617947304", "129.7077266606661587314235838690", "130.38103525939964905294974877613", "131.187399588002272476784142382045", "131.61202259556220464024533608670", "132.57521128345513834775762705259", "133.7853029848858417959134530841", "134.32850353324837935862780078039", "135.25731202620071878833134637202", "136.02247177432473561687597782355", "136.92537465650582192669593576977", "137.74173751467961908419913774648", "138.56336223328508787589870202021", "139.235271333291093052278817596675", "140.31536231983330977179192464921", "140.52469235170573916969888356022", "141.59543765780979492247014512111", "142.37409949554149699603077503403", "142.69425724840781412816737113582", "143.63625015425413531563642846541", "145.389171971598953152322872405408", "145.8015351469397021183020693773", "146.49747308131215588355203340786", "147.42101554059244749288400148228", "147.71975728669574733833497334146", "148.59826460806249718628630875584", "149.51190854313640861856641662841", "150.47683718678129670271933222067", "150.922134621793999502525118695303", "151.687854094804988056554242993784", "152.65272774902738583628694901744", "153.605263679263013547894201270830", "154.13050662108154635779334573494", "155.384945245563220124308894944542", "155.71878470322762058514177200379", "157.00814429803821168195146714207", "157.721084723549082585025968177313", "158.1306532574346844756639973563", "158.76974720606288359459008735212", "159.47583706108015662397080900473", "160.31257050549893035029436884067", "161.15158422488411705601207589400", "162.22907648480209620488628900125", "163.11312639207865661766510163108", "163.84175719510481633154633366243", "164.61250653520838929710325296262", "165.396828356482441233633138215379", "166.08988149633656555097874868401", "166.448576361317593555668899843414", "167.74458481766242462980339065645", "168.35785577653386667580376524749", "169.234826123072434878529077023814", "169.74840517099326103538026482244", "170.41367567782342428820396837595", "171.16794749333256558418481711294", "172.45124824594890936047871651514", "173.36754469057235282563204248432", "174.18646779159093150795347603313", "174.59387320312453378483709754578", "175.30662881764109716780973806460", "176.18017140865765073578521294767", "176.889623205144219188297223964058", "177.411601677543808032900960644094", "178.1471183869888532784569964756", "179.16690838634689618346027132650", "179.957787665249546097470694128581", "181.022311648780519549526356735461", "181.88283907143016597243617697700", "182.176575975958695831173825855848", "182.95491400658897417825661211980", "183.95148031238971124701295740293", "185.00744221364849499858292109232", "185.32794155354820411965983136820", "186.16073217345579308099678926504", "186.781461417747896485707681140611", "187.63000958629261368581185716785", "187.995355483435365435954438197241", "189.25968517571740690069423567453", "189.93962504047164172127862507128", "191.04705639369722967210066364255", "192.0060816334349840267148626588", "192.46887737652301154549980847931", "193.02757691507907937180822001070", "193.85842551112664165732066398485", "194.34841087607209753058575688075", "195.11491444511658972887040248465", "196.23659344609992494875665563989", "196.91212038597412144216034558907", "197.67735309013511522247505667120", "198.04817608404277799024582248729", "199.331968017722860231104872935812"], "negative_zeros": ["-198.98223321259324243676431731013", "-197.97759054680701325111531332128", "-197.32048643236215077402190784774", "-196.88930124156937152710251756851", "-196.12667897598399471721369961492", "-195.505611375311865006427691823194", "-194.62845837334106896977709179775", "-194.20222832831331898027477350662", "-192.8820955421303328121988811093", "-192.623156969882130527619157569317", "-191.68471113361901408255179136081", "-190.28023166492736191169169545827", "-189.97525678258230778154510537982", "-189.18804789245342372305040165611", "-188.555710754992131698267410664802", "-187.63270594442195826667192003792", "-186.85356764497997585006140289786", "-185.845782050172771494688947743890", "-185.40645446765465483935289837932", "-184.7574494206729084797054341616", "-184.28168371708667098371956414850", "-183.35028819397610066623649477778", "-182.376956058313122324696066833068", "-181.38239593875150429803181152656", "-180.292653874097733608203129983225", "-179.97162801749659265116096353289", "-179.04743725608814776322237367219", "-178.37678769936166242282643839153", "-177.60115613954504640241093602670", "-177.170184412074923367334223312612", "-176.47115678233757605382481863214", "-175.16912930076183646665725578972", "-174.579340706084482253160345993", "-174.00309519041362319432988375359", "-172.92158732780721542912988986920", "-172.45075477145751044072444287625", "-171.25980565636525091192303756612", "-170.60551421196491963312067507338", "-169.587467703479966018519540582612", "-169.00678434131489098368694192385", "-168.49625591260569735215282403213", "-167.54826612538936980486717932206", "-166.81521057326415874723960005246", "-166.299952001967073331513164571081", "-165.58959016840169779584087838563", "-164.73199180563048518884307326053", "-163.27906414113224479318281117315", "-162.586629418332172752854589488592", "-161.91379724570280614144098774429", "-161.24702837033146059719131041439", "-160.70581239647634365942791879260", "-159.93276577203201784728696241550", "-158.808261401955541098822067951209", "-158.0242527448844409471600429990", "-157.708291147548717680172199144832", "-156.65137528576411750898571149180", "-156.06716679044131019663293476377", "-155.22271226379707313214222130673", "-154.10660850398237760143137092208", "-153.43772955670970297059987260030", "-152.52604847985626012559487891467", "-151.57188595335892517918936292552", "-150.765049895040822777395215454927", "-150.41921287823478804019463938123", "-149.83067764843706781899935276999", "-148.81127019191937643036260163724", "-148.39342307286022653036805096421", "-147.15094710416031884021350639486", "-146.35807047713989909745798578110", "-145.30353497181556616153381547213", "-144.931578875304810813660710592686", "-143.50616743857770187844255498964", "-143.213811670554715191492770859974", "-142.580870542014681291248306709403", "-141.4900191467728967652560289811", "-140.74578552916422361522615694372", "-140.01392941021967749190878159218", "-139.17687560124902676771268793550", "-138.48855820281645442711977909157", "-138.098494634872613700913361403079", "-137.13307961434516969542384678133", "-135.60551212123847414846391975422", "-134.7485681063433616829506241658", "-134.37681108623142225186056976210", "-133.44136378316622193736910396989", "-132.9128496948268739093157946068", "-132.009954614817957445270314790374", "-131.39753349408940458359928412910", "-130.444263731251362287247749825466", "-129.867387446816599454143616368191", "-128.79298386329442406439844618409", "-128.01554287973184836641224045463", "-126.834797203224654641354721464633", "-126.452634873477889743507483303500", "-125.69010567107975267545394280333", "-124.52497258219376072652867472989", "-123.714832860488356482694962664335", "-122.97595793839030723010093855172", "-122.34009529584337808959319805707", "-121.68410942248736955042443619150", "-121.07617960608015794795504775255", "-120.03338395283815437929319086971", "-119.27380376743352550133905475535", "-118.15650604257604085443672635446", "-116.95780492495566607381207298914", "-116.52253747555535927418805912039", "-115.57356020314708054492991161204", "-115.09987718122577036019595582484", "-114.22724933904391348241658138622", "-113.71936253172076220749311112003", "-112.35949633595737870752919242442", "-111.57449859589625552928463281696", "-111.1096607954452072869568430143", "-110.457123943713180000922408378848", "-109.13493222634679912635740229974", "-108.45637570102498645771078273493", "-107.28814322943394284516278269260", "-106.40179194340584301189092971190", "-106.15801925048956856119489265866", "-104.8396722943655634269124449207", "-104.397230472844505196951489110284", "-103.50668762021854149202755024342", "-103.12889790341542065588548148441", "-102.154302538038752451446719793525", "-100.90720582297847077417727557689", "-99.80155354727612718564547467997", "-99.09291956090525236635731768081", "-98.392865993407821238481848671711", "-97.86101681470257014217243074020", "-96.54664375613829768449997610497", "-96.11397618741340184368515189889", "-94.93087212541599831620478704986", "-94.49137446647315257626703270598", "-93.600117948733133951161815825550", "-92.69555820799742081288456249011", "-92.07680192234312921876065926637", "-91.00705036012975872697010637943", "-89.834799971500766291202711429425", "-88.84673534983971788872958272413", "-88.066899701904592576160494516549", "-87.587909487489324413449822607159", "-86.864727626785743295141386995926", "-86.15708427341847026781433888552", "-85.05815837479640474890554446762", "-84.33956517747432554951923590091", "-83.2472963673984719452206224462", "-82.61334782146833166830645430979", "-81.299312225254730958089924342974", "-80.608702999461104932242803907672", "-79.723244915776167715181390248186", "-79.27698927419640723861087612100", "-77.87474679464294291573540565607", "-77.07550399767240601741247093688", "-76.616355430427005949967654665145", "-75.653285155173565092123729439864", "-75.0553146316267413855173544655", "-74.364666650026731592932368967965", "-72.36033591611636889208887509539", "-72.0509119279948944943058505719", "-71.00604982740644211442877254393", "-70.2174047406214409263579820698", "-69.48040566730806007321421080587", "-68.670405619138790419270692534862", "-67.97478335704364032856883114134", "-66.890636505947996436363072465312", "-66.15933522776572194378932419165", "-64.807689040607352126932295286219", "-64.52622418000594152402456450497", "-63.304528993919226859374706392921", "-62.35817958202835453810852706930", "-61.25298512783046831760361062534", "-60.308202324627049543764748315304", "-59.803334349279512990659739229954", "-59.00962935268856111088538557144", "-58.144499256615296159610560749528", "-57.22236634808239986518817981561", "-56.590381863524299317416242211377", "-55.26834087286373968651802177203", "-53.810500418277940273489326918575", "-53.29755086396251529954184915076", "-52.42640895699570395811909639663", "-51.80021363066795347245818015148", "-50.90481096853776384387458585394", "-49.60795987638318184714617712274", "-48.824098710865418080526561214522", "-48.11018487812941860555798015472", "-47.49688016651012803886388858320", "-46.13956468895119632536024966324", "-45.070671752626997661064393687045", "-44.01901863345657484010503162370", "-42.986064949908240783116242897980", "-42.360260661386269447437413133162", "-41.25507803209360699462831530338", "-40.54028147310178491786876389903", "-40.28579605427752852070696582374", "-38.62898566179277439740652730362", "-37.6381453534050951082253112326", "-36.46014725669510319310944131968", "-35.62235242585998786265094224034", "-34.75139008663848636784461337734", "-33.63653339969546614587770896139", "-32.71760381138207111066348653973", "-31.95564828791675922059042167315", "-30.65038561678637033606254607069", "-30.154954928782709862948806863671", "-29.2366490624898800479386476028", "-28.13353689705530485483042961213", "-26.25680758779544932958310020641", "-25.45133946390120605838160475134", "-24.854325136060993826988515909827", "-23.91546815231340122513309875537", "-22.935769522761471634705533235577", "-21.86555812538144399943570225192", "-20.77013703202387080386049288933", "-19.86320303243607646138724839638", "-18.31291123151834877830404535156", "-17.38324301360664024745910190366", "-16.497484763916757985216837930295", "-14.87693767438535531381182450784", "-14.04409980411712565298603421256", "-13.172295221397501629675902723260", "-12.38903253319277973226570177910", "-11.10428734508036942819373408730", "-9.13018481223440245253939651486", "-8.11691171499340237101353818252", "-6.52931804179828686321094884738", "-6.16119781856090935375483819544", "-4.48609168875075066949586434812", "-2.82173523928539309258399240640", "-1.50730351107540076491588590122"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}