# Zeros of 1-165-165.59-r1-0-0 downloaded from the LMFDB on 09 November 2025.
{"order_of_vanishing": 0, "positive_zeros": ["0.675309615403209746515152422862", "2.94401963387254687331720241075", "4.468633205926962461787359406790", "5.27064677035145147833242082612", "6.71979750019681919352456648956", "7.6815253889625976770405007652", "8.61560091843868512512955243955", "9.97019420836844925324660640830", "11.29640661899691209183358456495", "12.62652424648961540220737741404", "13.60820590606683415381143902321", "14.57262681070385785048833071420", "15.39408347671030352527395232758", "16.56954721245639941494306116515", "17.481287659055105882675767517307", "18.1719210670661173625338457347", "19.6094994413403636470873426338", "20.86219841276942533675034378079", "21.69826685353897400514180693792", "23.00751039202771952144827635642", "23.450834401524765493227148684554", "24.74657843366136013348333109870", "25.18340827252035669490682651391", "26.58269143641430988556633112200", "27.136583698082379899401535044", "28.07316776138665820611408234149", "29.67850554377639975353976284118", "30.39687426119245625916530156826", "31.37814047576253288100386559035", "32.34532435536086215418586940179", "33.09037072840783605095385124108", "34.10772405162311302373615236818", "34.614987261669257672670136279850", "35.848684811994848251149525109463", "36.568787167213281187825687896133", "37.42201020207805136437444481723", "38.842615429077027035032728069471", "39.82688792355528047868341809439", "40.45068712028240727168935325162", "41.356030716087010963060332065482", "42.3846676197608880925094851689", "43.046750225750626756829217558783", "43.77734197391755056741569793496", "44.84189699523366286529690798210", "45.439495147485842788026206686662", "46.6923041104598744363383401563", "47.398722288324502779760552148328", "48.9474082703587557358178776722", "49.367528965424762054127386775099", "50.14220892418811469033214213573", "51.196597193554076969432438272158", "51.858952343654363593997556608932", "52.78960113489148789605879988657", "53.44948450208108223795013913801", "54.27381552480988644134032671323", "55.23877938786159352405576597541", "56.310017775971333090126111135224", "57.17122286430839223046029432221", "58.29757806647993803468495642157", "58.93458461967616009203363318459", "59.8142806185017940859847403346", "60.34352699421342338303782006287", "61.52433225575450738518399317990", "62.08427050453105752468171174639", "62.909194143445876229358467066652", "63.64656138652149372109981602184", "64.66855500418554510233535847065", "65.75329845530740081273438339437", "66.72499032584715275957503474972", "67.262806794357284702140945347277", "68.571744223347786970012118096830", "68.90532027671868618688375985661", "69.70765827751076802289141043137", "70.58505245561987799536417967911", "71.54911482373095499704791288532", "72.02409666918412250256208038555", "72.94738235827465318893316828364", "73.796721302759213616939020894982", "75.10929967739560078843615564090", "75.75315481551099803627996630071", "76.63005618964234449947816238195", "77.294256637706515755429042203818", "78.432472323361648809313848207675", "78.822702397840560692542779633714", "79.5321425443946489328353307585", "80.58162093334323143737417599521", "81.29176872896493306190722708777", "81.94029199418624771271047638864", "82.89104727807126561913349131485", "83.97561758328844909294338780111", "85.126041686151369697911551458230", "85.40831285912602274438527213451", "86.41016863304151859808452940191", "87.18413402940853272947048387410", "87.97659814636781693668551598920", "88.733313328211919348747209291865", "89.280906218501815231310826692999", "90.18043134041122203916243939629", "91.24318571365977788844254894229", "91.57226838990140506322682451235", "92.856423194662276699451194674988", "93.94938052103227779284267051014", "94.41204677581796789812376179169", "95.41596994838044162480515754520", "95.96712030349437675174568117850", "96.72464882122405616265690636238", "97.772006952332220505986384891736", "98.278756246108942778316445180637", "98.83564944386133395158486452442", "99.89850005779201918681013686956", "100.69075496408111396312491066199", "101.48300092109516953293519586360", "102.62170306754580598326084792995", "103.34271777960087083591818638911", "104.12380376672174013914190958264", "105.01217077231078265139312137067", "105.338272173134890137167828257583", "106.36389180516765983707427606270", "107.34656954724084822621083190454", "107.52756418880990941834062137968", "108.79666218601056059265596523813", "109.00445048842798441283309804174", "110.40315507934745708834119611300", "111.22615274708270498668674988716", "111.867531241597708919903782494623", "113.10600073386154938432016165032", "113.390661201372200627376791908971", "114.33502178216364275291866534280", "114.99092127766004885926864464127", "115.7277962131047624611085395653", "116.46639213287436583071106259137", "117.394566168631569249923998813259", "117.88419991724419311458946239007", "118.5897563839105498811579479363", "119.90785457015127650353847097271", "120.6895574825134341851677931445", "121.294631709383388977154553715588", "122.263458919054674154747641319068", "122.895182320968539125287184143200", "123.77198100774798637038726105450", "124.21401941183105974524719648770", "125.140566514523031467037590465417", "125.75836839935233078844682497275", "126.608570226912617769425413537803", "127.44924846472475592912789733088", "127.83354947730552466767328625311", "129.27356919809750948580371709791", "129.99007682380249636961804197958", "130.8001193852491402437808083741", "131.28278492944545722391531347013", "132.244427004254360008076681119830", "133.14903947459912497558366055878", "133.38590341385370860845939999993", "134.429858916616800733829232413044", "134.98581851991114606215288070337", "135.81982691406618716664992032307", "136.65842167283330138211889657920", "137.27008988230855200658183924591", "138.39377332329460342343761017723", "139.26712052578229844802612460099", "140.109706341562346958424968162292", "140.50720694385630264484349716446", "141.29287697961662966098573700335", "142.27678878553196009722571510215", "142.8343238102901505134721804439", "143.45179529431502559061415400420", "144.194564677862442101448041723699", "145.11880252941922890306758946494", "145.560620601437503757684098676495", "146.807756389799068349578515958819", "147.36737300323903299778617746877", "148.38988119207665552381566352645", "149.25889467864256644698175790468", "149.85423196802973439056732542977", "150.25919291900869215378972692757", "151.44007462009552888526197555539", "151.82979681545644966531555564254", "152.71896628545733095204191604801", "153.44305535629152289475653954553", "153.85785482190409144044429761482", "154.95332625071494976535144927712", "155.69743715397821914544624360848", "156.70758403612102422518168741222", "157.37713871573801667144417907877", "158.18592407020681155973857600415", "158.97150387438082275547488933262", "159.63356989673788220062345004817", "160.20012141956737564019437784307", "160.89974485970742861574527113501", "161.93918837280261891551470115360", "162.39939988282028942784971646662", "162.986563028598296678291024058565", "163.86503266248469402322120739538", "164.810065338531052088034752706902", "165.64998160295804722043688124233", "166.683904342054580059826564219516", "166.955720305995212728190911138922", "167.88940830933497516628523956537", "168.94041770238644998135528309832", "169.10449793618135153872527792299", "169.9040740958440696446907520724", "170.69907595932919984021641479197", "171.67788260232117322984905542178", "171.90161937082162175892907288339", "172.93832114086559645068384089390", "173.51474873591743797349203940737", "174.910467444223018030542613933546", "175.291899705114059969171741728011", "176.24709403419511989019389837685", "176.7254193212024441885036395342", "177.6659387581290307845533336443", "178.23387297005972391314037113753", "179.11800734661266948842169913542", "179.48137761328210679142781285969", "180.28141233417976188948916066588", "181.21189971739481734604261640320", "181.84435757876453038491303183310", "182.370610688389444996493646675326", "183.62181460812918494056199028378", "184.34539304398116443556015515629", "185.25693134316555944297918414590", "185.572454496837238975304246680898", "186.54243581780945341688058959691", "187.11315175803589178211983688389", "187.93031564572235285559756848969", "188.59627592724523535453965772453", "189.255485420254616966587727245214", "189.73863163042944357445464808745", "190.86316598047073870841007617032", "191.41677867789225898259502296438", "192.193269302356145799804921966583", "193.2833533505605077605368046708", "194.02099413789132370615636892961", "194.5783414815603698421672246498", "195.45688774889436893042838086327", "195.85625825774563543956699517770", "196.79066776523054712183601350511", "197.39318765885624526628185880357", "198.175301219970695566267722667670", "198.85876701142307407021994395403", "199.20342862456349157949721412446"], "negative_zeros": ["-199.86495696970454606737646990943", "-198.87697422248049387204206878232", "-198.558856479883897369210642700166", "-197.415807372955818327654835004124", "-196.42749855363686789664967166593", "-195.754371048529122136185484049948", "-195.22167358540582140366453454558", "-194.50186975994540045385211519637", "-193.58600421598929954467722646181", "-193.08236514171347043633078615174", "-192.20475023620719135955673086105", "-191.899571196339047765537795586", "-190.884121656183958778864454633442", "-190.22238717086246801335184012005", "-189.50990744319448808022165627506", "-188.73053283593978758311116566987", "-187.58529043216531486393169386563", "-187.128259060660999872975081458987", "-185.91979959673050859426443902954", "-185.66076260196891472492236267483", "-185.14896553915737123460478598403", "-183.92272372372965274261345861910", "-183.406806401839258521642481590838", "-182.932884675984402985367297875810", "-182.07085612671146908202833949549", "-181.3536751965895086834779036103", "-180.67410257068401520153885411417", "-179.751122818274230048270296589842", "-178.828202129085127819307997763683", "-178.20879223099942564377934970572", "-177.16737195580431571029994832679", "-176.5956166410009780811353616036", "-176.07000748797199750742622494987", "-175.22027029735115728337585651661", "-174.60015032141354430896420110808", "-173.73507407326691359014830369747", "-173.053143132564390599091855345277", "-172.63552829180486356341280492712", "-171.7128243990478866481409820637", "-170.79852349782326595937174438261", "-169.9639004854667733319350785153", "-169.09115974490393151780128191282", "-168.4412081140387227352730607368", "-167.62902623122445264188906654928", "-166.928484518086931784596765405328", "-166.21113843273662849767564673898", "-165.72458776024155056461440257280", "-164.882780891025688730010534035668", "-163.982539749229431892695276719487", "-163.35306341530166726997047840245", "-163.04505989963591314969761155473", "-161.73754915098885375425625021403", "-161.03188251341991238828271544883", "-159.91517289533724212136553489360", "-159.53909160779332247660498458597", "-158.68235469091256195786687990818", "-157.856402574466957269986132563282", "-157.227040446703178204668039219956", "-156.51181162523874345299499180973", "-155.957251783773020298314875418378", "-155.114875889479830566526423026986", "-154.19103195026309678127128834321", "-153.7932780498299928293164386147", "-152.97376939523442088982226892316", "-151.81581279521830807478217527980", "-150.88404231254121536982696611059", "-150.45756038196081536774126782592", "-149.52367108957765142193726864362", "-148.928175872601270459077498809784", "-148.12859684530282873541003961571", "-147.27883209781613454539999523302", "-146.879192744173061297836925881904", "-146.09234234189619501602014850539", "-145.190919577645738112870849588571", "-144.56348160134612100330014434052", "-143.70781144483459284800754887243", "-142.92086591356033256604912893301", "-141.518822910810870912530557441819", "-141.36977312853935696090643726148", "-140.48300088725086111732413330243", "-139.739877836754371889366327948858", "-138.91159661243278894384670514762", "-138.39716683191786391405298351239", "-137.34220787324386999781309979621", "-137.02069093178824575247261337359", "-136.217464263423778418322455203514", "-135.26093683012057252135358935535", "-134.446216790633836754966293358930", "-133.68307314379097731820272464572", "-132.62182253692541058082405662450", "-131.754503123406454447647844472793", "-131.456546613797519598077007700576", "-130.33768919102324425725432763610", "-129.979424407003750019021460384552", "-128.968780982781319998171820613414", "-128.31623267607437600295069741989", "-127.54452765078878441730247479132", "-127.06627054816837790588535652979", "-126.0326936236903921329266904353", "-125.14445350539278623337148251163", "-124.14471064677691762693944833013", "-123.57599559160807213617325765318", "-122.58590870469428459613458928657", "-121.86216494543378004901409143774", "-121.18553994571662292968711197142", "-120.74097766571156264507130274618", "-119.43339621383728691207979728312", "-119.21889892650293163688629115110", "-118.3124220282488479296680186168", "-117.37643788584484541745087970128", "-117.00590723022913609692027666420", "-115.50778500853373850417788706431", "-114.79751066989227739869787761239", "-114.25797716947743723400491063737", "-113.26125759232419594802942956820", "-112.33909314512345696388489424229", "-112.07493701866082219422253791241", "-111.00647645717957306170832568114", "-110.52674983891184883748800008905", "-109.489709787402785605756397159762", "-108.91886655351920027493241681680", "-108.13247212659003656730126020335", "-107.29006281555358666609474809830", "-106.07156923309793158610326702933", "-105.248823681016832186182469512713", "-104.803375027752743769244217790817", "-103.833346567754627279252189200000", "-103.116764007779914513483448629469", "-102.16373066703154981155355952275", "-101.85549730276947802750554890272", "-100.92855263529680276568823907187", "-100.046523100240762291431733238795", "-99.36097468987663684092048445808", "-98.6052611470682488156758889930", "-97.48947031490913989374601286515", "-96.58758349096520686401336149397", "-95.656535198922528110255107999574", "-95.16925042096792215750292111915", "-94.4253350064600720163301840766", "-93.43917258211910158384768666087", "-92.7378398687636635437521637187", "-92.12303766344926444847531779079", "-91.42171547549992904150664573167", "-90.38036038748000914215860681138", "-89.77199745308982408447749112957", "-88.713973860400999120136014632724", "-87.72854267225223508991003677699", "-86.9039971953061064356315348709", "-86.12654545433971646719106236967", "-85.23023218149388563342991084072", "-84.98560866876875070833305459066", "-83.66195494822673145040199760286", "-83.03842632756215987932745741295", "-82.56531446785136107056261070392", "-81.4909017783709408917221989522", "-80.841416894922449358883034789144", "-79.61459568838669770332141575375", "-78.8646991426083905231728855906", "-77.91564110672494472269381314060", "-77.032720309632241516304643503060", "-76.44400417733420299287671745745", "-75.52578059722271191237817143150", "-74.99966018476836564222930952241", "-73.960164895015599153789258243375", "-73.19190199636485286197137218273", "-72.593998241957253391244337828514", "-71.794077276522292450258997963220", "-70.33096170360798506470462505638", "-69.87034815961602364193704202703", "-68.60672698686799980705174028469", "-68.16417279596474685598975180124", "-67.09677011965214221738358445910", "-66.43055960128433117882637005720", "-65.68633399165078317501203498898", "-65.001788914409495817179788583913", "-63.71864084866985927913938800754", "-63.489308225006290948742743607071", "-62.50877495211120876964199455273", "-61.14568946208166368777917043794", "-60.35793844060986031724327382489", "-59.44150564929085513792748880083", "-58.843166076688473043441710473593", "-57.7716511021205487314003984357", "-57.03015661427734731793082837157", "-56.47820020291323957647806941762", "-55.3777403733760968544735326414", "-54.835134565990493953514980004694", "-53.56445150417985004289257379286", "-53.18763156582230200849921529485", "-51.577070661981453161889399926205", "-50.78592914217353034766820020245", "-50.12564451341764554790007042185", "-49.22544462223681810481520242329", "-48.28258563674239306787062588089", "-47.6456349630462835451418537857", "-46.61349080227825180449509459159", "-46.14085769538896086202341701538", "-44.9915149307189591657982885367", "-44.10430944778200859750948496690", "-43.098037310563502613368107917390", "-41.891275207347047920507703343686", "-40.99468094333309871578216610607", "-40.50554021853592779305578685238", "-39.39886228487857506289695824148", "-38.62890653382939482422854722122", "-37.73603362504984713019776437387", "-36.94358850979587305460436609557", "-36.18978875722930348490518872486", "-34.98354872438979294770317914440", "-33.8931183183811664824302769929", "-32.95920820656604611277071586373", "-31.82992409078260843287188451361", "-31.13351171084830531925241773224", "-30.379170688869124523520098799702", "-29.32799207480822040478443324571", "-28.47746345856747361384004513384", "-27.614893119725069111727354825", "-26.83243495680684989844254730658", "-25.52097622552621008047627282981", "-24.218956406478270990165688160401", "-23.55433176746190092545529767945", "-22.37070488875462086967793106542", "-21.32239578632439383017542722511", "-20.97861580673976930855888011369", "-19.5211187522528427653214144076", "-18.857226261705920929791695381642", "-17.821626195002359017496144288768", "-16.749660841192857323870648030997", "-15.00020496747456639811077963069", "-14.50221901273906989929685545704", "-13.20346542761596825317024240470", "-12.17927629551741866778475626675", "-11.35273895596605748412501472526", "-10.31280878021595972422671289341", "-9.090879794952387512823221569", "-8.14898126453503682677819704259", "-6.30168308430869655207464589874", "-5.04969840672151703782358970207", "-4.0388042415341970205823868748", "-2.49820483734751186274472058341", "-1.39666831725325105993889984514"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}