balanced-numbers.json

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

8223 bytes, as of the version from 2026-10-27 01:06 (current). Recorded here, not run.

{
  "0": {
    "number": "-0.2588194037928067984051835601892039634790911383549345822100018138561027726767902806541964058272753843"
  },
  "ai-zero-1": {
    "number": "0.7012108227206913624906916560315387022534715359933855379643126691976127710398608518377493521240067154",
    "param-latex": "$a_{1}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-2": {
    "number": "-0.8031113696548639636343099280505852678839311283227355584017762597352663868547439347507237134461849081",
    "param-latex": "$a_{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-3": {
    "number": "0.8652040258941519308429566587860278285878835833007741580190905679710363210221321497767088632933462131",
    "param-latex": "$a_{3}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-4": {
    "number": "-0.9108507370496018030736526440918938574480162051681514152126527774545693381907498436074364581303213466",
    "param-latex": "$a_{4}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-5": {
    "number": "0.9473357094415677655949310009899116771469101854235837094796361539913623475245200614723355871919806707",
    "param-latex": "$a_{5}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-6": {
    "number": "-0.9779228085694986109515960484273489045871857055836224940588623848151457282686769687906287000352291029",
    "param-latex": "$a_{6}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-7": {
    "number": "1.004370122660311968497799456809582888009760853728417341239641948190211788569373950594798524442465002",
    "param-latex": "$a_{7}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-8": {
    "number": "-1.027738688820786176723305014920047279658011420333904688882674694821150912313589227865633973726904012",
    "param-latex": "$a_{8}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-9": {
    "number": "1.048720648588189547955819536844809054793280954002668393407896906046648173714474841191934250453956889",
    "param-latex": "$a_{9}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-10": {
    "number": "-1.067793859157427834651424574182770215274273104930874676094718882623807053817160336694649061321077512",
    "param-latex": "$a_{10}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-11": {
    "number": "1.085302831350700032067143808829872492434114953510140037491982586323319774680517726243587662559408577",
    "param-latex": "$a_{11}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-12": {
    "number": "-1.101504570277496811797553250185723087569340969913028813926439643597354845817547197010769382553894207",
    "param-latex": "$a_{12}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-13": {
    "number": "1.116596177932656084545192817245263947935834404638422160236201217694790791511757313462773525772056014",
    "param-latex": "$a_{13}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-14": {
    "number": "-1.130732310493187890175616553030514535232047384197904379235275290745145649761443009007942448575988128",
    "param-latex": "$a_{14}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-15": {
    "number": "1.144036673273552677214724919036279507528304733717002695851493728058287206542114972611703630962112472",
    "param-latex": "$a_{15}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-16": {
    "number": "-1.156609849116565463890191886252969395663981466217886598992189539711490446650989728566449121557689301",
    "param-latex": "$a_{16}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-17": {
    "number": "1.168534784487524818317469117771759762291100445492598744280898281211220370244964566668619008480198988",
    "param-latex": "$a_{17}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-18": {
    "number": "-1.179880729870145572917852685071615652006370204153307984892709019789786974647599023943543357001343901",
    "param-latex": "$a_{18}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-19": {
    "number": "1.190706131158776652844314552263921905870989107149852334474045197203966709591164628065038497207446949",
    "param-latex": "$a_{19}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "ai-zero-20": {
    "number": "-1.201060791519823280015985286945228407123189536861441178186395105774881162185156741330678412556688692",
    "param-latex": "$a_{20}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "-1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.2040816703395473861448172017949446083748692923967239852851209555900383808270922948466519047669094656"
  },
  "1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.2249105326646838931359969903285832148250296356108928371362859557207680278598497074788531425605908780"
  },
  "-1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.01016056711664520939504546984535756184189039546667066410539992972289181906672324397320081546018098660"
  },
  "1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.1591474412967932127875002524972296865738892015116109694151995214891733834680021191886361558205320733"
  },
  "-2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.6182590207416910414062642913324752829157779451241469421598977665455728146715584141244688071497345446"
  },
  "2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.05309038443365363170399918587870349124856099004587799263040296617761990531959672949111407830185987372"
  },
  "-4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.7906285753685813802964544458279401013974397253692758957316929042559671440035492525285201227943342005"
  },
  "4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.001958640950204178900138140918409032580845283313417362449886327399908245103441459839497729585503343834"
  },
  "-8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.9355609381983065510255224621326357323636987997800806725840767514878940450418883195124665559908901919"
  },
  "8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-1.341439297906786574291153707932024241570012221325286972531616150994375149088833090014541829429010225e-7"
  },
  "-2/cbrt(3)": {
    "param-latex": "$-2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.2306934913340010467845118236281661375953596008440531371528265925688020318077615236919139853303498582"
  },
  "-1/cbrt(3)": {
    "param-latex": "$-1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "-0.1470024699403574160887620692734863315924503723104327670342255702782551810585021780814929816318988304"
  },
  "1/cbrt(3)": {
    "param-latex": "$1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "-0.2007291490168720600161301387649203384506142936405397335382713218180439544087160545816914656358763913"
  },
  "2/cbrt(3)": {
    "param-latex": "$2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "-0.1100406861106811491308990228353131028275237427920820814675322901966827996635607248894561832678518799"
  }
}