balanced-numbers.json

back to table · edit · history · where entries came from · files · download

10303 bytes, as of the version from 2026-10-27 01:05 (current). Recorded here, not run.

{
  "0": {
    "number": "0.4099510849640004901006149127290757023964854590990643366939191686761976795370137603529248955635117128",
    "comment": "The distinguished origin; see CITE{initial-values}."
  },
  "ai-zero-1": {
    "number": "0.1245402522162542815281149909714380315264394596838000730752416184399647527241647746013012486737100440",
    "param-latex": "$a_{1}$",
    "comment": "$a_{1}$ is the negative zero of $\\operatorname{Ai}$ with index $n=1$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-2": {
    "number": "0.07600215315639298448020071727434630049779472380132126640918992141838646420562093879629301134613907004",
    "param-latex": "$a_{2}$",
    "comment": "$a_{2}$ is the negative zero of $\\operatorname{Ai}$ with index $n=2$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-3": {
    "number": "0.05703737973165383593296271021685351061035745077455567972333009168707879348878135897273507486918615981",
    "param-latex": "$a_{3}$",
    "comment": "$a_{3}$ is the negative zero of $\\operatorname{Ai}$ with index $n=3$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-4": {
    "number": "0.04661843846743726753344172842478982875640137685432877826829230965350319293673178204506560041679312460",
    "param-latex": "$a_{4}$",
    "comment": "$a_{4}$ is the negative zero of $\\operatorname{Ai}$ with index $n=4$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-5": {
    "number": "0.03991448564742125669566930165836905255961731102835035231697950446873818246851277710015607185586480642",
    "param-latex": "$a_{5}$",
    "comment": "$a_{5}$ is the negative zero of $\\operatorname{Ai}$ with index $n=5$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-6": {
    "number": "0.03518535667043631586589037448426885568432952926363579789412959087373201483572904031521366037318249424",
    "param-latex": "$a_{6}$",
    "comment": "$a_{6}$ is the negative zero of $\\operatorname{Ai}$ with index $n=6$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-7": {
    "number": "0.03164214814398032708253598192720720533644628779679680653720382085609845112726413688138720109455084960",
    "param-latex": "$a_{7}$",
    "comment": "$a_{7}$ is the negative zero of $\\operatorname{Ai}$ with index $n=7$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-8": {
    "number": "0.02887213228710768858135016413434382849343783295375526493665323761172442589889857209004362950227201580",
    "param-latex": "$a_{8}$",
    "comment": "$a_{8}$ is the negative zero of $\\operatorname{Ai}$ with index $n=8$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-9": {
    "number": "0.02663701134090775346903644565810503585083163743072556882325888863404854583035991276419760701227809679",
    "param-latex": "$a_{9}$",
    "comment": "$a_{9}$ is the negative zero of $\\operatorname{Ai}$ with index $n=9$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-10": {
    "number": "0.02478889068925084285367864243809333091011985050588270318365545977704393112889266885838458160054723085",
    "param-latex": "$a_{10}$",
    "comment": "$a_{10}$ is the negative zero of $\\operatorname{Ai}$ with index $n=10$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-11": {
    "number": "0.02323076285864876304876209878253505083720946807274637984789800543520500026110428026633223593323323256",
    "param-latex": "$a_{11}$",
    "comment": "$a_{11}$ is the negative zero of $\\operatorname{Ai}$ with index $n=11$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-12": {
    "number": "0.02189615334568872738947351332760099673166349977391397169153901399330615992141213473361256912480101271",
    "param-latex": "$a_{12}$",
    "comment": "$a_{12}$ is the negative zero of $\\operatorname{Ai}$ with index $n=12$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-13": {
    "number": "0.02073786524473654067556711650835895970222315729882407300610658344965976775918057845972915694256169480",
    "param-latex": "$a_{13}$",
    "comment": "$a_{13}$ is the negative zero of $\\operatorname{Ai}$ with index $n=13$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-14": {
    "number": "0.01972139012464092769077029656821583219822870607562060084760004126805221819921188804717495470831105463",
    "param-latex": "$a_{14}$",
    "comment": "$a_{14}$ is the negative zero of $\\operatorname{Ai}$ with index $n=14$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-15": {
    "number": "0.01882086556500208880841451248303655533455309379411736971016168788101838139194163316817624666606680203",
    "param-latex": "$a_{15}$",
    "comment": "$a_{15}$ is the negative zero of $\\operatorname{Ai}$ with index $n=15$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-16": {
    "number": "0.01801649586494108259295968112621570388398613297033673949088557265968525714106890759901085732064868298",
    "param-latex": "$a_{16}$",
    "comment": "$a_{16}$ is the negative zero of $\\operatorname{Ai}$ with index $n=16$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-17": {
    "number": "0.01729285054174053292091093660294514418172443798706095917178428222260110353239295666992675896273441729",
    "param-latex": "$a_{17}$",
    "comment": "$a_{17}$ is the negative zero of $\\operatorname{Ai}$ with index $n=17$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-18": {
    "number": "0.01663770921751606613932403969207029914039785912107831141154280765873492214647142794837928976080519425",
    "param-latex": "$a_{18}$",
    "comment": "$a_{18}$ is the negative zero of $\\operatorname{Ai}$ with index $n=18$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-19": {
    "number": "0.01604125761704278585349603790807061741490907674779142731078262376733438325500531005078584300588831463",
    "param-latex": "$a_{19}$",
    "comment": "$a_{19}$ is the negative zero of $\\operatorname{Ai}$ with index $n=19$, counted from the origin. See CITE{brownian-application}."
  },
  "ai-zero-20": {
    "number": "0.01549551555089711145581030452163063480213905510847780867343287067402427060162611548230814515832204210",
    "param-latex": "$a_{20}$",
    "comment": "$a_{20}$ is the negative zero of $\\operatorname{Ai}$ with index $n=20$, counted from the origin. See CITE{brownian-application}."
  },
  "-1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.2931090504664691070529559242094872958823166492593338803489597265607978326948761743238613079352170332"
  },
  "1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.6095559998265972956089948714387831571490774053337115368193901096056810591475095145648228585430459362"
  },
  "-1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.2206696067929598945381097514817931090244496849618778705400674935257939738562069297066387582017714815"
  },
  "1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.9722051551424333218376885710096220108084221876846558113582929686715946742112511629144829985557544346"
  },
  "-2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.1409489962414912009416178504600517817784022923059201868795954268115939270658205792954676924067579409"
  },
  "2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "3.129141434324204347506880819566898038768839655043481692279580568504466000587936816798803732502712418"
  },
  "-4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.07756535667970371358956375724348862713691770079567790490036650348981801415579445118638219138326172747"
  },
  "4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "83.76423710510437119324256641485292498408037736001360506393336149367129436340697978100695226144151348"
  },
  "-8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.03963882647312471731522192717714648117058274026910091421286725470465692892666851607406206744781245149"
  },
  "8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "1199585.964173326211372746958378829736857509674757436995523581517875592740645472809829365730586798311"
  },
  "-3/cbrt(3)": {
    "param-latex": "$-3/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.1367292036991777385883903784787914237532082538535511873892994084398840627396813561390559571525044483"
  },
  "-2/cbrt(3)": {
    "param-latex": "$-2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.1824877353510013066864215088639669055900172437664518812665916920843943748292287649397961690892825724"
  },
  "-1/cbrt(3)": {
    "param-latex": "$-1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.2611672954567928556239394606558660197708905551003650272233975899287252668066513764336013599034418960"
  },
  "1/cbrt(3)": {
    "param-latex": "$1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.7237960109743029191642407637839780475814018095032649635099598256772351706412169260560330333158052380"
  },
  "2/cbrt(3)": {
    "param-latex": "$2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "1.470367027359469536623636669549755863812904152259439350322352901081610707459608390470527971681631640"
  },
  "3/cbrt(3)": {
    "param-latex": "$3/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "3.485034351790325789338680371930290714610233208462100560025133352503327396816155146245271885974606354"
  }
}