# Zeros of 1-51e2-2601.52-r0-0-0 downloaded from the LMFDB on 23 April 2024.
{"order_of_vanishing": 0, "positive_zeros": ["1.65418559801746448763359789897", "2.311160203930895414366455525233", "3.099434230909867160421635580851", "4.13467264996164029259887067266", "4.65553490522593504015234895614", "5.41589820584162968359234333211", "6.54962684392815375861239414546", "7.05821383965922516801220148418", "7.63460322517558339631900068860", "8.41586501460981240149786013752", "9.87274740892603159780549748543", "10.4084822451656001913860618446", "11.24861588600078312445073737595", "11.6067867337757573513655537911", "12.63045553051665898708341129695", "13.237804480461602075516585666891", "14.2312599982529288470458600431", "14.52886477211667562180729431580", "15.12274774770273562030020538468", "15.88951544267587260550811117910", "16.73894136211754829662556788417", "17.47602900662538419938544658967", "18.16468373707360762240980882884", "18.97459241918838196972191933108", "20.065132720328880464595366899523", "20.168697146797466066417518976656", "21.32960568706883991827380881227", "21.71841615667577184513855500322", "22.39398125780349872754092269721", "23.16730150481850552980796317254", "23.794673226143089321531982016903", "24.06246441902248872866024757174", "25.07333878427255558706649070125", "25.950227295616484988444241304784", "26.20864150447226956144727759251", "27.0247733000826469801087621947", "27.85698021570249513900112444683", "28.70151498506174256499200638708", "29.47900845362743019710016179741", "29.98569861063330818245746947363", "30.64764732514262688704747478009", "31.06801017628062520908309873477", "31.6853490227587055870260055271", "32.55499004178580557274102523940", "33.26418480021057992570079681870", "33.810179022324562710868576118383", "34.33572531453488825871207519884", "34.6161427986793193549138335543", "35.831502823885992065473595958433", "36.48752349531974458500168038887", "37.177001606933938002732036225739", "37.95653502134124208337717503922", "38.59205590609292325452515110444", "39.12729950274031472194452443310", "39.558968379687623730738052308353", "40.57032300250201305096967410176", "40.97593421449485472710445582606", "41.56417414616597642721964313503", "42.40041677937760809238254682348", "42.55967342374648571645500053971", "43.56793864767302552998274576323", "43.8800131266256140275036381452", "44.68167599273913171827073964894", "45.683604933043513047477495796336", "46.26801790966923129488602537290", "46.95682298436564230773458587331", "47.11332813390524134144783168467", "48.36842038757346375699206659734", "48.76483408836460083686744332291", "49.51994472969269505639945434279", "49.86468904458118603176437897055", "50.28082064296537070249392098790", "51.21546832894838326755938868839", "51.61841023060133452163197820369", "52.55217814931386232849093122303", "52.85231750891434090523380057029", "53.73434078793164747182673713702", "53.99060505184399671796167380867", "55.02826597156573976862073032968", "55.904447789078737297481736283728", "56.29478189851148003113608136057", "57.01650943567832368130540564908", "57.48947804262109085616073554368", "58.26236421033502836234669769372", "58.52421653414663880105843407023", "59.3401789699773888781980841353", "60.017754953108835690053063349422", "60.37863974090751942498694250975", "61.10869942333027875855997646068", "61.82529578808843541976709652072", "62.27281567336066366782998797870", "62.704748590154374202139173386557", "63.615317189008920978009838994507", "64.57109839821284220228669051206", "65.19619917481740774152593197314", "65.61079440021337447418781414160", "66.196254144823668392232782764179", "66.53874603672196986315967868260", "67.48088102001511780044989337544", "68.13753305724972198825200788887", "68.66833872525494984348248655570", "69.00878164624623109995029068554", "69.73448952414731831606011390119", "70.29736996065146758984955260734", "70.74904289797043254927832352876", "71.45346331269428948570021929077", "72.48320029885060520583214398218", "72.86965986601665335151551459512", "73.35109546473290056315605151463", "74.31942988712670917915427899677", "74.729511228547653698049208077220", "75.52352840433325560680982989520", "76.05216800682419414620188126933", "76.35176742294526991766217256258", "77.15573219692843220843978955439", "77.88594874084877093132084083422", "78.16835204546130652166019755026", "78.66594048687430127463307678546", "79.40721515465373978270925128384", "80.15706819269871403751812705009", "80.59838609121243411942317022669", "81.296264516152389537964864909875", "81.83300317757878320426228435644", "82.652501619086988309248084926909", "83.35276613727824210360435881496", "83.83918928695265393918498112125", "84.61745419126078448668301492893", "85.030188988620770391356429923", "85.57873133045442978538420886444", "86.09639803746794845611672581493", "86.40689788837503972886732506212", "87.67302253658667732963055995332", "87.911183254909381807386417457521", "88.39857241319461615178635354620", "88.90589991598824023960205046695", "89.62787526495415775625120242162", "89.992132337790455413827875475088", "91.229907653635099002756823093197", "91.61240102489303582864526553769", "92.291171003949284299951120220349", "92.90619891247884868944542012842", "93.21722965626803676057169003119", "94.08970085849091564338422381219", "94.5375933387671874853617654642", "95.03863688384995759838695675062", "95.73149754720730673395828752022", "96.433836183834879572745542850187", "96.6280566840073751343434376092", "97.35235371128698053295630761924", "98.009713258127536373750777961753", "98.36962687591554889973912193062", "99.08793234325576095133976191490", "99.979972103075829974679247128933", "100.64658609808714587170753883949", "101.01448177529220883451659865874", "101.75035338151260325572587579306", "102.337138745038602507352212710998", "102.62498558866936641812947028699", "103.71949233784841652240867837615", "104.05697852733396387652244258276", "104.68173600940659875659460541866", "104.88370871878126987872358555752", "105.462272320367436371023369338847", "106.23721933226947060216043176792", "106.985020472559089058140837763120", "107.43447775059481467815118328718", "107.93001290136511810871091682902", "108.43503616632405193609503457649", "109.39052838731143169302620954850", "109.913645374996819318793535420182", "110.53194552900763388760539256035", "111.35312344995375160360130006541", "111.65467262331031030572197937356", "112.20679545172134215037339490463", "112.81850029806084196540902065590", "113.19738793608653422817244288541", "113.96667444626851271698623880134", "114.56336179827537829897250884727", "115.03069200100824393376752647742", "115.50980258164297535159788754059", "116.11055183580337463060423875426", "116.942483711085516735454983335667", "117.182871706776853249836426268600", "117.83152103975327812651757632987", "118.70253148076848885630282466405", "119.59469309713414528658550852009", "119.99663838339658071964950050839", "120.28508142011952899321131291029", "120.93556126877615986526765905688", "121.404998506228555729840313155", "122.24927006998522648586099308825", "122.60129414856665590666540667463", "123.389793933299169387645666681870", "123.71769694999086220250352972263", "124.37769045358223127145583939220", "124.831965408752616655638866023315", "125.090190453631785922149029892626", "126.31442218927531916829630315688", "126.50692942974493537907966684550", "127.55455739399503526918494091114", "127.94178326707596311058341290747", "128.43957518168559701934753711938", "129.0279497197286934404984600131", "129.90295293935098822304004415738", "130.29432542111072945607615960964", "130.73329901521917313174997672502", "131.353503076893819949640048417544", "131.92806641671101245611889759597", "132.42605856420142090491883938906", "132.90428682599972234636862116273", "133.6673664157669730437473434812", "133.92215704153233291573578838226", "134.86123054427553158909368496605", "135.07206227260478298072253721076", "136.00473328403299063810606015647", "136.7011996045343513441949568410", "136.92171863525551649397518749070", "137.75528779503096233274350622896", "138.630415100676576682798944681428", "138.81907089747841178670025567477", "139.49691577151685559818620147089", "139.956047021307623084631760919254", "140.56582509520303887547890663060", "140.85243611562172109444763401156", "141.67634986931017940364889376226", "142.16506905384568976987802348597", "142.8458618742714679510038902878", "143.41914605285059549567182059457", "143.798053593031505563987697119850", "144.103899635072693637001371696352", "144.99303706436004638955010557685", "145.972733783130130056462830740335", "146.55856028802522806842146632809", "146.893627447959778417439749295930", "147.2985311994651418838267642153", "148.07775052992527076203006503429", "148.54275033941753764593552902295", "149.26683071441346417445524293726", "149.50720291425351887621942569066", "150.344086689409041824774144405916", "150.65650862399395672856376941300", "151.43830534148407922697179081663", "151.88602860257502621133960172741", "152.11807327823358646296771212830", "152.96843746622762038228639033267", "153.54237019053452075799723114582", "154.30862396178957960655735823374", "154.75724187270287836034866591037", "155.59141843211024325236678809588", "156.18580081750982007371517221441", "156.463720958939854708811456164785", "156.88293745789964774546170239997", "157.753061837276695464358733402666", "158.37737503665618993457937891389", "158.852176002371834912674162695211", "159.28644554899677472661551894484", "159.71503318278018727103951275595", "160.26587890636773753615336419116", "160.77036895904933160676350373281", "161.646992009720394380490533651524", "162.15777030801173385321788777636", "162.56940733066069475423161008437", "163.09048172841778618923593145849", "164.023198850689812185601345440", "164.40613442134804855245627476206", "165.08315814833097595934090745242", "165.78654932462093981139089514359", "166.40030265601564038222244338138", "166.54989250604016349284820731175", "167.12838285738352032119480549921", "167.82690396425645485232114893158", "168.306566033444341806377168652172", "168.83289774050357449141063305763", "169.56842054855147035292211335291", "169.83165979075712385147868408225", "170.53963172512494188366698948092", "171.00991174603950022513383324646", "171.59351406514328846656825032558", "172.18377895897874473914585212913", "172.98672990008393339521076531239", "173.54417472741721249545226611270", "174.07253647432374443138914113274", "174.9155528972303903728622214620", "175.222962641805247282627697624300", "175.48077556721537012640879495022", "176.19609188644810458261000955942", "176.70636625465151122714165099796", "177.44580126505841899752188727228", "178.04866628516246398738429403117", "178.38104079020272596738274054725", "178.917922604593614828436837384384", "179.31360251882347619651785735535", "179.91262954605276816670599500948", "180.65634602922841071256442723331", "181.226122843125180384849286676554", "182.04358934668353000991737031513", "182.62049204149834595414672200705", "182.91905535521107881408001425887", "183.49052586124727540689519688459", "184.14906752600472433817990484245", "184.70043341733219822869272855933", "185.409070065253840703665233718979", "185.88691372800768788685394699968", "186.16518033903601581210444463297", "186.56220270454564453835376630806", "187.49119244882673627756791470010", "187.92073712738347891103228249436", "188.47325100763797621391847018231", "188.75449035910892633680913522368", "189.568112995598749840552471700873", "190.28161803238325103553414454490", "190.77608128231808812162540628116", "191.35738422952187353938376115564", "191.94652798999214196300637054397", "192.57482652726898650959560170555", "193.098051262197722283060650961774", "193.74913310046013972708048361256", "194.20426865401318247549550483310", "194.540353251525275519724521622717", "195.30015251671645783925196009974", "195.57395880274322499959077310655", "196.257640594777139904055469772150", "196.7156762097157472162675504832", "197.637891926763333345241390663129", "197.84916679370151172182570654909", "198.42347844946679815297045153688", "198.8616494521983571526132817647", "199.39787016837328194182638960028"], "negative_zeros": ["-199.63471529727401168079529404173", "-199.46247672514746809372402051852", "-198.58645934693780082622825905526", "-198.067234226575058061820099004596", "-197.47491407176386199820098070916", "-196.57811595702961570575230926266", "-196.277348802518506984944316378138", "-196.03780204088521079784470295477", "-195.475492810685501680588469149168", "-194.74021595194042697880619455934", "-194.289817142437983042480159844918", "-193.681119316008503041029736203003", "-193.20611487551284208494916869271", "-192.45726505816608866733739417290", "-191.97853967623136236778185205764", "-191.88581865861928160598157692146", "-191.15413154597198437664646977313", "-190.39818350466314884450222714680", "-189.358658183368637208573740924365", "-189.08534829792805777833787687822", "-188.57568321993832432495498196949", "-188.20354476476319760773345753312", "-187.380457636819251088620584499043", "-186.93746635955167526508921439842", "-186.29383768234105452005594263338", "-185.92808306243814050465156069951", "-185.37327888405782962757552383706", "-184.644891728695497569887818600462", "-184.31745631195489640046304503570", "-183.73264571680407704862326263170", "-183.07703850371789248156275327317", "-182.97004364192914216916107406363", "-181.9661083710934054554863136358", "-181.31392566427683611625778619681", "-180.914629856611641925021243679961", "-180.031854340658155574497442189625", "-179.57757797179117226747115601232", "-179.13477293010884518879063234399", "-178.6395069013367952097136513995", "-177.89517784880989735436558115405", "-177.34391387444765725062579058091", "-176.78687329005079844502047488453", "-176.21418838081312841262778801248", "-176.010501959646068151890694483580", "-175.617436778750329953794249399001", "-174.57569622137550951237800310071", "-174.21887108273570107061620495652", "-173.57556141848164228805719352884", "-173.04544649022158553038269331365", "-172.58825005075294216194948642766", "-171.99439510942404602496122728080", "-171.161152844081368344616004797003", "-170.49836422827652735966498139703", "-169.85097895505157055919163057206", "-169.72957129352948222431632800100", "-168.74808292922040506302048640785", "-168.63425592735643883686759604246", "-167.88824366543316067375661725096", "-167.48592996591201095012498547590", "-166.73173033820607057407477934588", "-166.182450786403969612011628905323", "-165.86911147237756930959097999791", "-165.1868225766141387860587574876", "-164.58481067974980987156255906467", "-164.07949737943848419122589920908", "-163.75370495271581719978084824517", "-162.537484413171471114351389994040", "-162.369564361446187254135045679409", "-161.419555142996498560964851901868", "-161.039202716688462179311968609077", "-160.27597309177854318733615129229", "-160.13781289022823422777992312080", "-159.51587407921729661477263887879", "-159.00310132690295599360391270107", "-158.08442827836778661367155342679", "-157.60912819194777030640803160003", "-157.22378164964366440343193157532", "-156.87071885736111305633035090766", "-156.291961237982979331738099194480", "-155.59418734709373931513777165403", "-155.07680038269560217563075853842", "-154.275519562433262912538065886945", "-153.70372741116381226079464610405", "-153.17226031532044588389823534006", "-152.38353823997816704828505305258", "-152.12028738167930520758779513991", "-151.53965333518975165610594699715", "-150.541710396560324852401363410027", "-150.34944246648512068458568321543", "-149.77324356465477575190796918957", "-149.251475754746399322974163522201", "-148.85935549825207122662482580068", "-148.12786109580260815134161185626", "-147.39980965554005116012667647324", "-147.208799019171731136356036209100", "-146.50183248734171070822849573999", "-146.01282847487700313059358030200", "-145.14365555255463245683639359583", "-144.593859592079355911229034147938", "-144.131766438672441700132179289561", "-143.519890740763643464839561243884", "-142.57242749072074240398170174119", "-142.239592736404349994141784615031", "-141.81558419734423339670143970333", "-141.017726111040716932995019224153", "-140.82325548655651559812151951408", "-140.11148117385840707716922599050", "-139.69150181873435508704277279629", "-138.956964787817789017187220106126", "-138.14198972561327870424305842950", "-138.0425553854864478536338627611", "-137.35762598761088010121190883832", "-136.785961523837317942307118638028", "-136.42269865965340262038315410741", "-135.30706886629806701360730534556", "-134.55669248232192497337165984506", "-134.16771556247408526159633240085", "-133.76999085963720688664107955495", "-133.29070115832443551800990599514", "-132.37685010351866768215354572528", "-132.13064313310223949818851224172", "-131.46448536130085443235894007446", "-130.67537994026766092476266819364", "-130.45281138270490483457816102702", "-129.91977605296876595604482850825", "-129.17744821368552566551912405985", "-128.786690322755009992617764388021", "-128.12215593837982353168337115328", "-127.60883892347239036427710017391", "-126.921169439061460575222687618102", "-125.93177374853620702201140539455", "-125.54938674702574608696511475478", "-125.2000769082668350655495853720", "-124.339118733441522229282993037247", "-124.00553022748398253095824820936", "-123.24987970970892197966062939358", "-122.68564944625814548273844569248", "-122.21339662333060378852975715646", "-121.593729909379515559339501981571", "-121.12721462422318816272780901639", "-120.73593029757230307065268748544", "-120.13732254529914130864170028681", "-119.28207744836076495294284752381", "-118.72147528151820136793158100629", "-118.23565693464268590228888702253", "-117.626261853131368423166240009170", "-117.14071940805624396169768499108", "-116.105357808630327858494873372314", "-115.5060300409894322078084159715", "-115.20498403824850872711766185056", "-114.62354697252084598267433315736", "-113.97294482084749661913748444830", "-113.5748273735455117395566323240", "-112.896983483659997683266053270347", "-112.373633800578258545157988866323", "-111.88346251444500337787819215722", "-111.02626425392329509681242011284", "-110.68781408436569082666501341644", "-110.140133266291515169709454648044", "-109.74308740768512685058522487539", "-108.72359611621646994756183413475", "-108.07252211940000533950238144989", "-107.70042524505798366739152174066", "-106.63530664192377003334446860921", "-106.43610492402327217491119948635", "-105.65825706064512097443922230153", "-105.365968762024545773215913636912", "-104.753874257964216668387475323122", "-104.21121496240093943101197722095", "-103.35504462765139844474151543311", "-102.81492884819283953275326634667", "-102.4286176141682468636058536943", "-102.02931294640971376296667359709", "-101.34912169827302471595383781787", "-100.829342436454457942548982233550", "-99.86175294801413109058876769469", "-99.40610349682155397704780827218", "-98.4029286651437027995255763736", "-98.22063384795347011544267873438", "-97.66815700640319174667071517083", "-96.966110888069916000592246944938", "-96.23433429015241351835675660734", "-95.57941625055558316773954276387", "-95.31760765401186299274813798462", "-94.74085071242072470740913292579", "-94.10711491383867016817793766874", "-93.51241404391516401549719537093", "-93.11626819276698976583419098640", "-92.19662529379466089135769257169", "-91.774263155581302936576231245300", "-91.35277689232870078930577994035", "-90.41145257587539815296073695220", "-89.70346397309680041833329301862", "-89.21503457326897963278680298277", "-88.67014371754441374818908019892", "-87.74219357411351946052534482160", "-87.56976473780077317179148982380", "-86.59726318775586750183801442051", "-86.252669187143278300684539333439", "-85.96248854514746754301447469221", "-85.248958938095963103790183809621", "-84.43127818300143290466142205035", "-83.91806359872591234070495610278", "-83.40387300966407745065391494247", "-82.6993825127482570380085483507", "-82.40899830986271058166775851636", "-81.63026516702471613688230945008", "-80.70724439387496982898208492851", "-80.07535116357865187990880308977", "-79.277303911005642316578930626117", "-79.05469529974591149266178949677", "-78.418845436672801007875009484551", "-78.151565623681992931475473740075", "-77.00057503480764087294387006817", "-76.50883688649841432963709013025", "-76.1710411076141859212465616098", "-75.506926044662234036329028489631", "-75.0565969300740372397242995701", "-74.21632787025091070545135485859", "-73.766284280843264261519701803792", "-73.31763081860029969327068753576", "-72.25448006492778050169274646529", "-71.6453504475138407593071459110", "-70.97316592703621751695304449639", "-70.5099643117826903658036696927", "-69.8653874863371950593728814844", "-69.33610825990873006194827898227", "-68.56530444542489241782584370067", "-68.088661352045440284911726177772", "-67.52867142341985252450554794715", "-66.83241371689723120426547464144", "-66.344647545643790128955280017472", "-65.91740013081504476827002223402", "-65.38191600829614037060064317061", "-64.23665137088841935021838924493", "-63.797906893311965390419364931941", "-63.38373393608374265054984902341", "-62.47111961016550093251728013599", "-61.92535369029605737220837853194", "-61.09644099823343523821321225454", "-60.44483929592676620116042450318", "-60.064948108433916496491655122641", "-59.37535848198011570745188382206", "-59.04442368277680973337533657428", "-58.26999340452914414819541099627", "-57.628315071304931420004615356027", "-57.04730385617783615328516268374", "-56.36916246259168282797655146819", "-55.91170806370247530357735379421", "-55.34616958899279314638864646804", "-54.54664505481955990785228134498", "-53.832295699019063843570107621364", "-52.90944126365861225417640323423", "-52.51601642510496201378236629152", "-51.8493826305896848814068430801", "-51.162908418354575699111703037944", "-50.68158238991631546050359877706", "-50.20195992096141819971678044619", "-49.37412816199062206247128016835", "-48.94787373444775715973085542195", "-48.00061774362140113903234862388", "-47.66680512838502647888067097239", "-47.0110749761576739423183001474", "-46.73099709088839732038871047652", "-45.7621153753008086159423806010", "-44.628867940714925912624109896809", "-44.06719954480610076789709420514", "-43.91050658534351072566666551255", "-42.858229569953240127594227337660", "-42.4132940333247474439100424478", "-41.738984939904604824049349632411", "-41.0057740978859091909097229002", "-40.307264795576725779647191987762", "-40.000993965789308964145777892394", "-39.399016629094691370221478610519", "-38.77414679518432337162175942583", "-37.93473455687930640117868759102", "-37.15876065966543765392958709016", "-36.95405654815685355514194377395", "-35.8974144911848644900750252440", "-35.13516347608268434020037631566", "-34.414373520598215774488307503568", "-33.909481293426362407235124926256", "-33.34884484073193420416527625633", "-32.25959477804099917192286110331", "-31.94908715673900135439300621730", "-31.57504706530826004062822448864", "-30.81344647442681578996277620313", "-30.02616434261576731552364606634", "-29.4046208875023911062881563394", "-28.80702232928580751857693482071", "-28.02892680710632829203134412693", "-27.55583743102756039762589652188", "-26.737609189772656509589003926506", "-25.63136879863586295966245702244", "-25.05268412364760656699922187361", "-24.37556584520449411613408663356", "-24.009858841327852152057408037097", "-23.41399141914976897753090861848", "-22.4828256404353880532245414838", "-21.76937544817884414863813668716", "-21.21897316226557597713657547566", "-20.63965610301958317391211559219", "-20.0726282193836521370402974352", "-19.25048426175916196024693878817", "-18.53160649870487190392132716757", "-17.53814837564211051057828700730", "-16.79435235852351627898366120873", "-16.13944039661145585241262027187", "-15.42473076385558082795805366917", "-14.82474717362514957454526728913", "-14.11709424330652801907599927783", "-13.162108006677922289242571558535", "-12.81986724092707177709113111057", "-11.891861934982762564403737972855", "-11.56096429672765835427470128148", "-10.571508709090200050862742575697", "-9.84822970213613952984355904170", "-8.756444262643959465947471984585", "-7.92978600643975123983178033743", "-7.59875131559980911386669933523", "-6.17685185369222754048790503832", "-5.407692289007059852460125628188", "-5.21617849985587366282392216101", "-4.152525326158639551887692090973", "-3.49910934007074323232739186412", "-2.21912877014330316280949337540", "-1.8534421438162553164922539072", "-0.427760726572332075540201487823"], "positive_zeros_accuracy": null, "negative_zeros_accuracy": null}