# Zeros of 1-3e4-81.68-r1-0-0 downloaded from the LMFDB on 28 January 2025.
{"order_of_vanishing": 0, "positive_zeros": ["1.57357992113764614169910904856", "2.89286037731367279932198220096", "4.75632755644399388928709779207", "6.408036659739737929809163459415", "8.24718156052587009206979184742", "9.34232808102542672851006307127", "10.14987481997479060559164892399", "11.69810466184592313815299820453", "12.82857755815031678507427159084", "13.620657539978405722283504461513", "15.65641513437985504915760064119", "16.75132118564639655137684867754", "17.90306449617602486728740697731", "18.78002238721492769097944655769", "19.98237682009209999941887068652", "21.14821910864311992802782688073", "21.741903929909234895339865303299", "23.08708291159586995461294210357", "24.75279172770236171880721113663", "25.7226496993346751193287965480", "26.51199410488068123239624102965", "28.08692634695840246613963768419", "28.77688474477087338887608115724", "29.283562240495709088682048521451", "30.89310852338307113948718023381", "31.5552472749090471714469457861", "32.89379821628392319681253741465", "34.07576378468307671879086546332", "35.43469425120991280580014272835", "36.026551551494994456260703920749", "37.16352313901694402991460583877", "37.89421428590780761886341352604", "39.00524502692628888465490438877", "39.856131536945859104431233663833", "41.02926750877213551655825442127", "41.719228145065224114527967963131", "43.59253827010224963067860721804", "44.296562614692982559269861259583", "45.05065848713467963494539399929", "45.97443962097213425461417184850", "47.146954495211918342965659572843", "48.100586591014092225003848408096", "48.54366172050140840721712869723", "49.65073752485854393537943235566", "50.94146580689618434203502279502", "52.16381082845587269837084651607", "52.93866532808979154917644129728", "53.92935119844137711780269305901", "55.23996666275201924108648297038", "55.339272498186180067679629131581", "56.90426629741003621041137671704", "57.26804979135931747499422866628", "58.284798642906409420273104242613", "59.51508128306436651825725214264", "60.55170912771117385044027793840", "61.42777006074071810257411795278", "62.76125071433963600443841006049", "63.4303213015015624758541119123", "64.29722937091757368549878557508", "65.013557111169796075247790237344", "65.88828364707418640057016689404", "67.27046982293105444742497048274", "67.60641064750834497192704268946", "68.4702826487521881223807066855", "70.21547991766035799970895614093", "70.90496143326378511363828537826", "71.75844574974432105085362695372", "72.76421311867296436185843069430", "73.38867501802007819854942941203", "74.3794440963215794730870296074", "75.472089269363962639417933477208", "75.83046473185526346778227299883", "76.95893071620183104084723283172", "77.81781597991763076112343723633", "79.427085298238091699281627588901", "79.97939352951705542914248568024", "80.79524410737481474617373434307", "81.70422504640548661258908297882", "83.00855187688984856295129981299", "83.260364159770457347585506880780", "84.21448050851056110357437879521", "84.90253209649635122666285671763", "86.34328441567331217484661884535", "86.75807180623495169568318447380", "88.067442335912362815181838294373", "89.05963177646817457603970501722", "89.99388185021991903693668593734", "90.793783924064395733944686428584", "91.4782816137797240196600745528", "92.40825073648596023567145668569", "93.11184331128408040503450605445", "94.13879905586387595720038100307", "94.883951030500262194397761763626", "95.729009039266202148119137942129", "96.90666560803658739540292098147", "97.8548574241662386255705739894", "99.15360721620080962658819266422", "99.61440437427094152317425069082", "99.89642846054841404518148394875", "101.51668012718572140412663024182", "102.00152848301630859240096751882", "102.894908404624648671262473401318", "103.58158923558706482485609432", "104.3647912203006216639916534521", "105.7671118139031458486826204829", "106.81941098564623473439684641597", "107.29351562167073980064056491330", "108.28058915399217434115809955093", "109.378969188396707916977229682412", "109.86457566222237712483818371610", "110.705904519452912366049938218269", "111.60255105417433302805045950592", "112.38110834309422613571963895444", "113.00571577983470389422324811250", "114.372573241903908230135867277884", "115.17362897200154673897939369139", "116.086131040141066215004337541", "116.98304898132624602587374879632", "117.9862209426802547854665907282", "118.56282955892589936268903099765", "119.52766725243862468450288565705", "119.78162962419942489284064937670", "121.23500485792414084356176086493", "121.83186470696618126696092053324", "122.6127780747426681796245643992", "123.42192914694300877208254056032", "124.89648863660561368511900083793", "125.7182837384127880508097519098", "126.22529400625653699915623949617", "127.096506840020616154834298653519", "127.97512546491930296738190035836", "128.80033060437317430090207456257", "129.47646863658610343741333724170", "130.36336608724259464053380759940", "131.23029423757368290054996619954", "131.692621080424830785103628956002", "133.31340521997861719858172313173", "133.97676383581979016552497215129", "134.99096011869427369031811045936", "135.46460015823485985813737954052", "136.37806498716639229669001689891", "137.40183648866778971526889901546", "138.06647684248841513721713864229", "138.83189241721876652715944061528", "139.19916276369351616568965297705", "140.51178102511625461497608413332", "141.6048383680777173459882474627", "141.96527259182411578698367671880", "143.44593966327832194535346764232", "143.9662077201292240172108793654", "144.960567173487951426312139727774", "145.69334820235941842023345847698", "146.405464348065208572409454078334", "146.963436050765147817282702122818", "148.19449253355007050378595504515", "148.681459051259701569063176386370", "149.48817449050144452881266828679", "150.54793525184728185196711199827", "151.4035998677292050067184668871", "152.45256088967900574721296611436", "153.3718192821771780439587409821", "154.02933968014218563685039953032", "154.68569086152188939241171673986", "155.31322286866864725277502045890", "156.492469615387877389394830749126", "157.2512179913357683078129335308", "157.731582933708633301360396564285", "158.49352982800635012629217812680", "159.52752393709355200846625358883", "160.88709446318555372512259086979", "161.57889223189518520502063738929", "161.95837248344495107771042921701", "163.21911186045931676874261794049", "163.74831033442908454859572454052", "164.74271095489050180285908570716", "165.35633090153690437937436508576", "165.945601960190196670530417069512", "166.95378927023667789064790703976", "167.70637701440208694607994947759", "168.48226264969482094057806986019", "169.93319799797629476910378277063", "170.32764873425982448640004659189", "171.13586455920660790463919552041", "172.22629229021398082274571319092", "173.02545860477509752738665545970", "173.42636970393725337776700526669", "174.290310036013560437156012736948", "175.01059906330749193787748115099", "175.97940271692800481267554786303", "176.73291883510993030660498724827", "177.55187053986366295088349771765", "178.26109882706446512978741851911", "179.71623335736811498490514883023", "180.45994080045660306835287244088", "180.79963735014614965354533205807", "181.69412001634778697456133838275", "182.50823221056373797647845885843", "183.51885042595372274382146025272", "183.82568605292856005552528645824", "184.89790020711740152917104302634", "185.62724889031414698106495066098", "186.15435430815628313410940127427", "187.591513698774757402053480857507", "188.3286237994423843480673188852", "189.33346467575344181866911745756", "189.69187566978552721960410579620", "190.760471443148514609574595290803", "191.21925083923976637633684223971", "192.47370545730880133837258166083", "192.965633533266660674531060822134", "193.4429822490623527681430185417", "194.28707464024129510883076398672", "195.39247942815727209409326690153", "196.29073952355014009833828434564", "197.21066244117836873398204946752", "197.717282629213870690691639252629", "198.94663365925039523178293049602", "199.63870519420967092096362635512"], "negative_zeros": ["-199.98483710631075222204337509188", "-199.148986265337296969562463960611", "-198.45368502886295013076298414114", "-197.29047931570016148411014737256", "-197.17115623672641824945621834832", "-196.53789408070972181716586565897", "-195.20633833779934258034458436913", "-194.56659199052597188816189969806", "-193.72085749650436607509091889062", "-192.88585770579218296837212064463", "-191.68167793402273313637738812534", "-191.01591497170230269495307498043", "-190.50624435910363739282077401031", "-189.25121548048090356641653115834", "-189.15897947570038534047729228880", "-188.137875199618809520081211360081", "-187.21180512325978254330134676557", "-186.51981448217585840779423187121", "-185.91348053387752939063062372921", "-184.806805252359032149390787715431", "-184.01690769456225473967379497652", "-182.8655330480664277658802191868", "-181.988324991109138685957763431239", "-181.589283549252431372989122358313", "-180.820453472955371851095941071248", "-179.99293745825806241145885404468", "-179.03844065581385658023561099780", "-178.21846147631424638483473356580", "-177.793607472805260352141721499", "-177.13602208395861090445349224164", "-175.88414482346122024529324894567", "-174.73904675536360198142366942055", "-174.25926043254347658685587428789", "-173.13003962360315957710713087264", "-172.75724172196166833348666543930", "-171.43805691524236567213037654111", "-171.05875541657462927452810564625", "-170.30549773759515318565463815196", "-169.34618429049720124380111945153", "-168.89960576090952574411818082823", "-167.67075039793386646090854368410", "-167.24686502640123252856336088784", "-165.82668911996353293070108886771", "-165.078166318016015194168533577989", "-164.54716542455845366162235167672", "-163.211138403304623318169942395754", "-162.639027686327081804444446833952", "-162.079271454740442824451740051622", "-161.394717747128219603197895953088", "-160.359721187150525232593787522458", "-159.56784827475538380911729541434", "-158.82969357705561756560424001393", "-158.08017730714244450136865182616", "-157.17759044234921511121508111368", "-155.670862837083053512586842121829", "-155.18793622385588604524754061956", "-154.6026383523322338530537043529", "-153.789355958325215929376768056604", "-152.62400293646006367879513703261", "-152.29403569785649267046814995334", "-151.26507217052065016876822479321", "-150.594574203686351368719832800138", "-149.773633476052612346924668248274", "-149.042423944671060673703494646119", "-147.71676474597171422818372408449", "-146.7464798533460010948377049665", "-146.22437366299316255278127903075", "-145.35234708679023655739720039951", "-144.58163475483088658591472453334", "-143.56625640266986695379638011648", "-142.95499362772070545586656463683", "-142.16380190728267892267827356377", "-141.721863584637685562644456040864", "-140.45867384578399209418145284849", "-139.52493617546924913749742466707", "-138.7730783949777564830594205905", "-137.76584137233312996234415555187", "-136.84691328037801870815548957842", "-135.80060253641366520647837719337", "-135.51644707972866406931341630687", "-134.66995092436348679743175080982", "-133.59093792396626621312086865244", "-133.077835022080806109210152284133", "-132.17470304577384392756905864681", "-131.10706176296758287506449339489", "-130.70881853622504891629085606211", "-129.09773807252041351838588642435", "-128.561669858819019655432164085040", "-127.44714044478722335477953774880", "-126.832846527490667125447714420555", "-126.08921577534715004934574061840", "-125.45049109255898928560346328594", "-124.15516203204813559016168191801", "-123.64283673956301767820171847531", "-122.8583029105033109556550071761", "-122.33646039146878536499048096466", "-120.49986116909699543623147296738", "-120.118742967502236116821037172506", "-118.969274874921259188984191435156", "-118.42078910394543247286182661472", "-117.45642199995429435880814285597", "-116.47861663409643648783467572285", "-115.78152658738890091107651350788", "-115.33358036939227549638587471346", "-114.19820908890739710958842520875", "-113.3480155263401150184414257475", "-112.622075647506703808138787677917", "-111.09043617142274345429574924117", "-110.68781625216652296358447800760", "-109.61923565570115639157502596249", "-108.727580397503409132244934507137", "-107.89547116100444364422085324127", "-107.103672548334192246644636494922", "-106.72051297382336057494957893971", "-105.447405450081835880947744628583", "-104.66726850468157822583809010453", "-103.808351365439672701380129022888", "-103.06315533061512095483669844195", "-101.596299973781757400462421484768", "-100.76792039542854899192297853110", "-99.99531923230418094334935689138", "-99.4608003541495831541618491619", "-98.45376449465496178323206495593", "-97.44069503111417112494845831291", "-96.75186818179117048999268012151", "-96.121547657815675108693507352", "-95.06623202371278971971163500115", "-94.16793974816519075711963761849", "-92.835251939086619282168896356915", "-92.0184766480808593286927989084", "-91.13849859789064014417083582972", "-90.690870015220946781556100693484", "-89.26995400191702824148786293191", "-88.77319144552991339248854802662", "-87.96839477953493469775050585783", "-86.98561671549940083720140960689", "-86.504463361429824871063253873601", "-84.86972127070447601355144359705", "-84.108735101869253992496217874487", "-83.397117063762753174666535875961", "-81.99017818490472368903229897810", "-81.34703983095665007637365921414", "-80.6992589664245480131536074704", "-79.7413676399252145725511760340", "-78.981753986649491216403786660167", "-77.93671091867809390923283065093", "-77.1964156170491087157702018334", "-76.22572369565317436694375716371", "-75.06234780571526525831132892679", "-73.81691823991557913930212469441", "-73.31075884230710231731603323613", "-72.15128658343293685544778538940", "-71.51960686646627575424328042051", "-70.819140410587701148210936110770", "-69.54285531008550633306307992276", "-68.65630325851591912898519603871", "-68.362229928122141076793151077976", "-66.996027056416774492229874616747", "-65.42724895228307189669450848764", "-64.78525400292178631766208984811", "-64.2224846945081536760510041556", "-62.88210162099159198928000874055", "-62.175234462443356194369669180860", "-61.20183487772178700186867118950", "-60.56644197152690898298139079105", "-59.64923414898480749296678154319", "-58.49611010311961680661062117910", "-57.453057868512699048588164171273", "-56.25282510356309577314775811706", "-55.37765920731468403604492231184", "-54.52530660752462524562678312510", "-53.500722080842723995329194961098", "-52.3895424606094284627346832209", "-52.27255392098337214106065185258", "-50.891008133004082974153770846442", "-49.714533548278225003924824899419", "-49.13159555779120057637875790096", "-47.65493836830479911020758373047", "-46.56480582748013394567161566934", "-45.43163467990598599465546230437", "-45.021771458106048938724943467631", "-44.09342807390138930102063415735", "-42.55179623327685802778627685758", "-42.24707923771248060769223705814", "-41.22242161368852405837258783588", "-40.02900221573518239308181592412", "-38.68821133234047662502357511054", "-37.443819691746165059995094367437", "-36.87094188994223371389539420729", "-35.762988724749743820223124902201", "-34.77348332620611474649567848288", "-33.77103646387888952252173846503", "-32.90125706609423196033117063685", "-32.17248437595585882767725731353", "-30.55463942478311568961383795761", "-29.19361747689156514954786803495", "-28.6959252748132902641341021272", "-26.99384793893313949832167616244", "-26.36646503719704713137657689030", "-25.4554003166452978293543696038", "-24.460467170939492778447944503365", "-23.12069585337849489293225532565", "-22.37906745305228947569484813614", "-20.73279498072467112898452206828", "-19.506557378882574131707678850", "-18.27108135323765144949354798261", "-17.58405527164533911352253852073", "-16.28922451668678074340387688471", "-15.37388123011043664227372819935", "-13.862211143333380928365328818428", "-13.27021246328645089972948921031", "-10.801563373123930192418421353665", "-10.14416526923966496518898754766", "-8.84865621804764099853288079429", "-7.34002926327895227342633471542", "-6.36143218570510640053509928465", "-5.10118949560273703843638177535", "-2.84394147514700377485976065657", "-0.61684017480868729454737131053"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}