# Zeros of 1-5e3-125.28-r1-0-0 downloaded from the LMFDB on 27 February 2026.
{"order_of_vanishing": 0, "positive_zeros": ["1.423795320374833394111802726792", "2.72854961682504761693169069477", "4.16834120108747644573143633834", "4.82505837488655924511899867310", "6.669343559263845991842525460953", "8.35627073287869558415786094752", "9.41933010808376536192272061993", "10.662103999452982734875411226434", "11.44627415686912198903504070709", "13.04712512119972081159271150819", "13.8330736193268176981019939230", "14.93120783658464129503484346100", "15.48554525395235620894615256262", "17.28376038656129571509675522082", "18.57042703945150320437796096712", "19.828920562362598000220427440855", "20.408348506263237221292465750329", "21.26739558700148396374278671154", "22.20611918957397276414567780403", "23.31539535113448642751743434419", "24.46939322147193584407252751219", "25.347323459637726499516333261560", "26.751977299643126571496077539684", "27.6337332242743177518974804834", "28.360208845343763146422679219689", "29.90922333882247164436645132481", "30.71178194480453182166661181896", "31.11776993367865557992134478428", "32.52941263544973845760536046589", "32.99584150484231151557656967667", "33.87486490298946458537251844387", "35.62064603679307672418988728957", "36.72661491928380279671851822319", "37.40771585582912297652216830754", "38.19378963223545119666842871805", "38.99280245407147082451591024042", "40.091731271697540274932411029868", "40.7914794298923773415561804785", "41.963025477514850389566906772486", "42.90894171525103387357197861810", "43.463287971225845375082622318996", "44.745968031229780267088347587", "45.8273505380192615240222152897", "46.91884702164807490849270537503", "47.53668350313095029899559813858", "48.702002301381903496862392710591", "49.200053953646509377894681070566", "50.03116786532459688698735626934", "50.75058883726207699691046476489", "51.77985812858028581028590488817", "53.2086596811535138710420202664", "53.94149208546036804477072052617", "55.22354278776925303095426480715", "55.50759606227380907119715386334", "56.73064273487878074049151526385", "57.09932551988280746499765011283", "58.564838525496525147203831156", "59.32246818226907206854335057980", "59.9529970941648739510705767628", "60.56936562794709575625749649372", "61.88025079089474197434111100839", "62.5419373841142535526259477894", "64.102924495694428816106100731895", "64.76151162189321701065000459975", "65.554309468713752777331078092738", "66.534926525266206505925748543901", "66.8192766448127452093884445300", "67.747653762560761878690227010520", "68.822102110259175507836850793907", "69.57617710172803293772174458829", "70.50132722261149283004297143041", "71.764869488387135271855022004076", "72.603812107355572350687615747347", "73.03992106069845344807174754680", "74.13303079403945203184923173973", "75.31009968075070997098133239590", "75.62236645647032512277172212541", "77.02255653701832389267864679667", "77.20090138526926942526118782631", "78.15146924576204363670211891983", "79.10608172139454579658211584941", "79.54717639619987416162640073060", "81.3763431004515117504104835304", "82.1278695543737825070293885535", "82.819484714162355477037153615852", "83.42663462230747021848852793707", "84.53718035855264818739760735937", "84.90613089416514465821358284671", "85.82783072087424319321822190170", "86.74141059550872385335196968884", "87.82459730311905391652936948905", "88.41365963897256018776043568455", "89.17538766376049155231611991001", "90.37237009122692313185398221769", "91.16439625039443869349383042676", "91.97180396920597404158746649312", "92.959846831440116329382936043852", "93.76171288274694719960263168453", "94.39109156920071717479372518560", "95.20138860158757291340581995133", "95.801367811544518848378993073697", "96.449172828161065148840200047172", "97.58354818615626795539980344186", "98.81311444839768935996193598042", "99.477691286601141054967393461745", "100.649182736092618515258827583070", "101.16473078912415764119689935120", "101.71229615394586024404720679555", "102.485610369670511691748326486998", "103.63151172754661233743098743364", "104.4286012619609971379365905834", "104.99475289151160316925595559240", "105.90522622538040225312587682260", "106.588848817106994283668041431155", "107.402738164346112146397354400367", "108.73658185135989107098253094381", "109.1596214089675777460858763731", "110.71832372189627996962077476189", "110.9903347840525787403925073844", "111.647274583153862755439263905", "112.345163053966030729832974710416", "113.37471772966460077266064365966", "113.80448535863227774779137374946", "114.71301938308059825938342349756", "115.66582646872949577861019178905", "116.81349092388416480740918681076", "117.6681849954542026957833597194", "118.15510936418785138719951183529", "119.17789473414361261162243143356", "119.701091249137488742174211042871", "120.74060055939332186610717615761", "121.630504356750585144431738307522", "122.090708769444000336489501528300", "123.082132242995020700925896981464", "123.75987055755118505873466427133", "124.31687722528550168300740423330", "125.058339940701554922730180539370", "126.57249910357997125171783461019", "127.38912092234856275227132599305", "128.16343309218329801166694479771", "128.65004199451224718992402305185", "129.59848473494336764543065064135", "130.375604269651361345129650698714", "130.69252046368715872102064314969", "131.56064960379005696754862805246", "132.95508244902642371149223401385", "133.1922783205227336603717277761", "134.139296635884146578169319598556", "135.25905607338820546346543940012", "135.75560905307323302237950221721", "136.96870715838128490263341951693", "137.30110507900441843928096571993", "138.40312490790177975445633447084", "139.18344339029792438249031441349", "139.9889635270871731444441603729", "140.5711602685937932227682796506", "141.012953370613735079239215640117", "141.88974825964286663526040934691", "142.863943329905379023927693004242", "143.60238358680454554779572698889", "145.04195859144766378640720761133", "145.58379634865558004904323338812", "146.328070374374334576058480674907", "146.89599873376588525476909614855", "147.686413045868989471784467413696", "148.31647350265662422111406150179", "149.21589155577868504224206152029", "150.38703601094405523262527664494", "150.54102828730914476089508874934", "151.453472570194288250997387659717", "152.34332536499875489978979778568", "153.35150432159613446821634007792", "153.74042716420998863175597638540", "155.05193429385966255731635459960", "156.066090707737101595205088281722", "156.22787625632818356796412080561", "157.337532824580479699603216176028", "157.72212660709327294504395982649", "158.57847656480850675855782440206", "159.39297374762129969318976925787", "159.74704057397936551749149315165", "160.8607057487836690567105539411", "161.98737572200836542518816088377", "162.87056694187306792577913911593", "163.45265195083759957872406764229", "164.17743787901576002422029352804", "164.99087150200278808700115556298", "165.52959629647728025717847535255", "166.70867627906426636118567255722", "167.00470331102871371425996442716", "168.1092779570282245388591777660", "168.883542324518091141869405600707", "169.22380540338033474900198185100", "169.99754250087099535759704540794", "170.890330586371340065299910877032", "172.24993739028585764168626995426", "172.80973683151213774203054726397", "173.58064663967072739725372888748", "174.43344203317401710709141856154", "175.15863877974698940493478311137", "175.46486304029139284516326251624", "176.28685327664328926210417459384", "177.193966619663274070244175609392", "177.68199004530452983867672073659", "179.010653746135510690865201104861", "179.46894141346667186633748659956", "180.22682740050302744537005520610", "181.46598801223536053008084154300", "182.12112957758215371520349846272", "182.31735054914866157629122246238", "183.474449200639970173961838021561", "184.40788189983875803495385406201", "185.15245111232829677659292197749", "185.60701452942112005600962823367", "186.205594320947883477372726748949", "187.25077471409507399038917612780", "187.55838247995833432804151504501", "188.50911640470176857602522548510", "189.65666819994883068815321472105", "190.78923101625759904125357566384", "191.108873753795828357841782155873", "192.12668487114331082654686184955", "192.66023621164160227453570353066", "192.93142056624916348674555946086", "194.14061976690152825092061462168", "194.74823746686421934306376204777", "195.57452341030704052049455227340", "196.20303142201017946504354046927", "197.22993433867542522872627569571", "197.66772781122598711684419808586", "198.82685078307839891415392080072", "199.24552205170486815225506432726"], "negative_zeros": ["-199.38517484358116503843027995785", "-198.590780205190892185399406794319", "-197.80923623145988428542988436434", "-197.28254886004274706122241527076", "-196.707213089467759245087848089970", "-195.66181444959144995992880380126", "-195.21978997735043931971547214738", "-194.8505808312631201759885085341", "-193.49831397145521983045412899790", "-192.77716002912692605769633800813", "-192.07546330728020370259601540363", "-191.370323319557182722420148494447", "-190.08214031577196927303717024219", "-189.75570017199855100831597474826", "-189.11510659703767224531947691059", "-188.074373890987724942049401045975", "-187.2895668908041726177759056511", "-186.574548486718442862745599007664", "-185.91805526798081621484150375071", "-185.256718315670864897626219246989", "-184.74083201057765062203877913408", "-183.90564398735662106623111873236", "-183.06155619711620024934524384187", "-181.84315391693846471284741036821", "-181.15030884038356579455658049980", "-180.0994345901566496173377730349", "-179.69805201787846968616988298786", "-179.0688573649880406347590450863", "-178.45413381309946707996106888281", "-177.57354044491881451824873930973", "-176.72932272043301487802364557088", "-176.01855537397640935243829900049", "-175.14500157733068776134310414434", "-174.71578997417195706326177640717", "-173.51900623266122586393612242973", "-172.90113988086327601580022194984", "-172.17530870550858670780155711149", "-171.0466653352685902366319982139", "-170.39542774804924807882926308805", "-169.45162497647727906621157874398", "-169.09450104710624742825299492256", "-168.09205647949090896485387007967", "-167.83677810261859862324249769305", "-166.64785492666300357596558449038", "-166.31229027852589472916882291961", "-165.48878817406142416493341270838", "-163.90956977479834129010054339135", "-163.326309180913198285342395125911", "-162.79431614107883642729154770237", "-161.82783891998220867611564347336", "-161.29738714361281113116785970822", "-160.388574795920852323089884682227", "-159.90035357717146077624590520931", "-158.79864418834891056291713564736", "-158.09231980406646659533904421949", "-157.30849787028372581572219984964", "-156.96220733244120993731808104304", "-155.775433922413411964276121257097", "-155.38450215785465340261522426851", "-153.81391278424996182643089326180", "-153.101685774227507514407549092984", "-152.719044150573945141443753472289", "-151.55727608153857610890151553210", "-150.93513992632904437357754826101", "-150.46342763562580553781558080621", "-149.83175791067595357925656827055", "-148.95894064505760139637574130736", "-148.03538278000786279966358529138", "-147.178140857869435571419117805428", "-146.39339837701523673123901441235", "-145.334488106625576008158147049664", "-144.64296830057254576702524720335", "-143.9391714379183087839125776319", "-143.29658183784151602074366971757", "-142.41963571509158754994545625488", "-141.33949183979058135234942763269", "-140.82338591891862913302636180728", "-140.09645315048810454944784831319", "-139.552517270105502431557212836835", "-138.68146487153840872848362875267", "-137.91196863535844869698975882249", "-136.94344681709363664847431302556", "-135.650791199347832238623813827375", "-134.99202496796523813403375305950", "-134.25135522709580005231944870695", "-133.70818358589437927785382159124", "-133.08795802839700564078538171492", "-132.13846712835814487287371560107", "-131.4205658852479236703484463007", "-130.69868767738015006985637783413", "-129.61128415864785166889898623242", "-129.10292746722550272944019268371", "-128.039653428829208962589985937323", "-127.210976318569165737709319582217", "-126.51447040624648040632124658997", "-125.646096480528463921786258509986", "-124.51982680337514909974421936380", "-123.80119405428466211819750289860", "-123.63309001387295580023176981880", "-122.279461920256386396279577807666", "-121.805356882020674568416073401935", "-121.22847390414163490686631610006", "-120.55322141943528857326090814877", "-119.04602869954427895779663686527", "-118.24553513438641527369673059245", "-117.15537952959756379167081740099", "-116.90294574431130070989534970764", "-115.91045637579919916891014399369", "-115.1808574647062087057013327215", "-114.61460362378492663309709946324", "-113.55367274751397828499866240844", "-112.8005083317080662467182487336", "-111.8620587549087260992155326925", "-111.1863678896310650897329799681", "-110.83687615939689646788676496507", "-109.27019315081468691296563853142", "-108.62318913593286374361404358647", "-107.71866655340120701900897013506", "-106.63313170933512378985762651698", "-106.166760723616375378697480459278", "-105.28530835469716565893309741196", "-104.789626866929060902884485105716", "-103.96739627191703431762659108719", "-103.30260692249782705898098238558", "-102.04553822197708382219975454486", "-101.47698009017491888667469976857", "-99.97566016306338439000358067322", "-99.62815945548379388231176674228", "-98.53281985157426092367250241474", "-98.10989368909003886617040634106", "-97.27123643754549971691340524584", "-96.08976428366643852729412964293", "-95.2109022024206293837426953364", "-94.9699255257979738460646518037", "-93.97980084014698137175563840261", "-93.02734556964038186262777286715", "-92.55563445504797796626424209323", "-91.293905158328456659916383305427", "-89.952572347998384955291645696112", "-89.32730082689102390287349748769", "-88.76027459067920555366437281676", "-87.92240414778716196114753875870", "-87.00525831485743311907111479092", "-86.71575699829735439420222799665", "-85.3825634409789407597547293212", "-84.85130972950339492341258748835", "-83.764575728611238280791759944185", "-82.674234791247454715075441853457", "-82.0146574917845112000580102846", "-81.2398660138663045619246041537", "-80.02332499736724208457716843836", "-79.49533860529505043306561020311", "-78.50774786864468504866810856712", "-77.62423296850116068751229209032", "-76.87297070301537796481350538742", "-76.39754197386042796540261311379", "-75.380168141626152805911363155019", "-74.831756044106923020545871149403", "-73.14926611911334767216827222986", "-72.20038958419175268529741998233", "-71.69582725949837997767691137732", "-70.67112951036028681211168272112", "-69.93481292217331932251066152322", "-69.38302616332552758986497671575", "-68.50677929248721750292469087772", "-67.23843533902412760802800730705", "-66.532656713971360594550085640703", "-65.96062911626405644782850839053", "-64.89067697666075114022592041204", "-63.68722108806672253615116493917", "-63.07477102814780185075708321837", "-61.86435274391618926152608086244", "-61.01603745092561553416561477587", "-60.16319576147702102030931229338", "-59.58761864419344553814765544130", "-58.88811449831119341474058496462", "-57.89033003683588010461815135925", "-57.17571934378610313804928873179", "-55.84504609328017314924799531020", "-54.78266147190964007785834739120", "-53.70631371712586095502307370896", "-52.98026563992062794088470222021", "-52.789581563756366239434372230668", "-51.138743381620577484002133735496", "-50.61299452542748137530339094829", "-49.552248060358153383537126886654", "-48.7864356839461289442155404015", "-47.91101445601850555620859005887", "-47.186255166203007559633914057746", "-45.93144120639673805268300196467", "-44.61049340911089480817149856053", "-43.72189056018142228492458700683", "-42.988762835740435041296346345693", "-42.369327050494180935769581825447", "-41.29394437100309199909649857672", "-40.5127503953623609296903222506", "-39.89874804342540650715199109586", "-38.23832975634463616143044214853", "-37.5728819193000470607506357140", "-36.36030605301457973760996583421", "-35.445963360601210187652734050377", "-34.71577602165830990970290139467", "-33.49567551026488810696207936763", "-32.69500363240835603627372431855", "-31.58945282945254219557425761925", "-30.90768476432156751007565122183", "-30.24928369506834353972316102604", "-29.13016495061976959787756339720", "-27.35438283686507558263789461417", "-26.62468474164462420232736023412", "-25.41231000950796001686426540548", "-24.773605577868877676733307105525", "-23.98290980444549239276845448192", "-23.04486784834059947838117829811", "-21.498272496847060088193085366076", "-21.02407830010577799227685369945", "-19.67685114277225624320845760710", "-18.40889949217821436420996554202", "-17.51377099184892062315137756344", "-16.175689814834468287542485661618", "-15.01140175733836962888547471915", "-14.24232927308458158728597531304", "-13.44554062204384049289634031564", "-12.26176236764135192462341897551", "-11.16785033908318631162205601838", "-8.80450691245271953403862040671", "-8.48255014226271215724086202238", "-7.06062040466016247194365307058", "-6.06545440495868650337935691676", "-4.45267124263979078439435109556", "-3.2766263237739166409171338796", "-1.68318313369145099179109723523"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}