balanced-numbers.json

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4097 bytes, as of the version from 2026-10-27 01:09 (current). Recorded here, not run.

{
  "0": {
    "number": "0"
  },
  "1/sqrt(2)": {
    "number": "0.6826894921370858971704650912640758449558259334532087819747889004859828839744096590017698368112786551",
    "param-latex": "$1/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "2/sqrt(2)": {
    "number": "0.9544997361036415855994347256669331250564475525966431320326679997390474192944485033034616958484207702",
    "param-latex": "$2/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "3/sqrt(2)": {
    "number": "0.9973002039367398109466963704648100452443412636832387012715560292883885584708557994639228374279915659",
    "param-latex": "$3/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "4/sqrt(2)": {
    "number": "0.9999366575163337601574924584865556974031123332490394469829013365558428296617482033952281720646571842",
    "param-latex": "$4/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "5/sqrt(2)": {
    "number": "0.9999994266968562416121766524953342507092922911539727762208538290144021304824601558720132722938233669",
    "param-latex": "$5/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "6/sqrt(2)": {
    "number": "0.9999999980268247099246037185982717352039159626604175000419425550459695676490686515141716631975929464",
    "param-latex": "$6/\\sqrt{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "-1": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "-0.8427007929497148693412206350826092592960669979663029084599378978347172540960108412619833253481448885"
  },
  "-1/2": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "-0.5204998778130465376827466538919645287364515757579637000588057256471935217168535709147882187347877570"
  },
  "1/2": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.5204998778130465376827466538919645287364515757579637000588057256471935217168535709147882187347877570"
  },
  "1": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.8427007929497148693412206350826092592960669979663029084599378978347172540960108412619833253481448885"
  },
  "3/2": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.9661051464753107270669762616459478586814104792576367804499678464421328544237507262448665492802771884"
  },
  "2": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.9953222650189527341620692563672529286108917970400600767383523262004372807199951773676290080196806805"
  },
  "3": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.9999779095030014145586272238704176796201522929126007503427610451570575433163798677321837453491846837"
  },
  "4": {
    "comment": "A bounded Gaussian-integral reference; see CITE{balanced-simple}.",
    "number": "0.9999999845827420997199811478403265131159514278547464108088316570950057869589731887459272349865438194"
  },
  "sqrt(3)": {
    "param-latex": "$\\sqrt{3}$",
    "comment": "An integer-coefficient Gaussian-integral reference; see CITE{balanced-gaussian}.",
    "number": "0.9856941215645703604741521935777493064263374771504400457005186594944649856862924057665603489729443104"
  },
  "sqrt(5)": {
    "param-latex": "$\\sqrt{5}$",
    "comment": "An integer-coefficient Gaussian-integral reference; see CITE{balanced-gaussian}.",
    "number": "0.9984345977419974503225001960216140976895654253140171946574002735819156655221103325925254313534696591"
  },
  "sqrt(6)": {
    "param-latex": "$\\sqrt{6}$",
    "comment": "An integer-coefficient Gaussian-integral reference; see CITE{balanced-gaussian}.",
    "number": "0.9994679944948607503007101178667617062144206270524425059525385378748726543698385602156718500035825072"
  }
}