balanced-numbers.json

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8537 bytes, as of the version from 2026-10-27 01:06 (current). Recorded here, not run.

{
  "0": {
    "number": "0.6149266274460007351509223690936135535947281886485965050408787530142965193055206405293873433452675692"
  },
  "bi-prime-zero-1": {
    "number": "-0.4549443836396573543890502762305885108631795350893794086920014639075743646053644369031429966388152089",
    "param-latex": "$b^{\\prime}_{1}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-2": {
    "number": "0.3965228360944646560805181373672310327746939001299627514195174497304071288880777379069703166425789375",
    "param-latex": "$b^{\\prime}_{2}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-3": {
    "number": "-0.3679691614869592564534311059279052560356436886925648129969930536639885455681963748549198938685062717",
    "param-latex": "$b^{\\prime}_{3}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-4": {
    "number": "0.3494991168318044408050529562458262144929210281354964493764510942483468555345150001619891067970731755",
    "param-latex": "$b^{\\prime}_{4}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-5": {
    "number": "-0.3360262401336600411674890394790926214423543461453298213114250813400835769334954261561306851650570239",
    "param-latex": "$b^{\\prime}_{5}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-6": {
    "number": "0.3255097364326236035057391248763071516508589832241548356406392302459731484635488249006808120815563850",
    "param-latex": "$b^{\\prime}_{6}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-7": {
    "number": "-0.3169346537076649432834327333461092431312712447031146109970379913570043612968308585254377527759511125",
    "param-latex": "$b^{\\prime}_{7}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-8": {
    "number": "0.3097259407690768433320522424041910151958615564599530440272155538451960275027664937215889990148614100",
    "param-latex": "$b^{\\prime}_{8}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-9": {
    "number": "-0.3035276648433455736680831048014089916195889992224384441448082970959109591641902705678886850638114685",
    "param-latex": "$b^{\\prime}_{9}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-10": {
    "number": "0.2981049111448003441478709902142557483957008453979001978099080154835784117322305848277518279530615364",
    "param-latex": "$b^{\\prime}_{10}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-11": {
    "number": "-0.2932948758166831405311846858437926952881275514503405389011873678712455676001416512003290004993146006",
    "param-latex": "$b^{\\prime}_{11}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-12": {
    "number": "0.2889803065671025872317235261662245813500075669143629302175990409132037766314120605545061039895423581",
    "param-latex": "$b^{\\prime}_{12}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-13": {
    "number": "-0.2850740906528823299407738540343340850698082189078828092152853528172785683701671365897996175223954017",
    "param-latex": "$b^{\\prime}_{13}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-14": {
    "number": "0.2815098244689997270918704645251010904668651211727090361001401251935890194928815577294876789125734645",
    "param-latex": "$b^{\\prime}_{14}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-15": {
    "number": "-0.2782357870262160775923472449641283925675793453802832342373763493292556844332556474757481905716746944",
    "param-latex": "$b^{\\prime}_{15}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-16": {
    "number": "0.2752109464392148542108169617317684140223484164954783006278406672145620440861288953302551002672192906",
    "param-latex": "$b^{\\prime}_{16}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-17": {
    "number": "-0.2724022309288061808381288110571275504805776059778796108921024769027513704668428775703445648791984828",
    "param-latex": "$b^{\\prime}_{17}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-18": {
    "number": "0.2697826139865425952871187039266224627784072648488892663114048002763432158947214136684532042486704669",
    "param-latex": "$b^{\\prime}_{18}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-19": {
    "number": "-0.2673297395916449815569537038852564966592908154827444919484873619919641624946293170587510191126289849",
    "param-latex": "$b^{\\prime}_{19}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "bi-prime-zero-20": {
    "number": "0.2650249150795161691862106970188163098773955990357725038951446367030217605209046933809208900946738204",
    "param-latex": "$b^{\\prime}_{20}$",
    "comment": "The argument is specified by CITE{argument-selection}."
  },
  "-1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.3803526597510538501697124937262645026709261850134749759835389296543251425165916912418965260948392892"
  },
  "1/2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.8542770431031554933000487987952431808567874005047396269340087415514085646293252655590229480643045376"
  },
  "-1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.1039973894969446118886899909785991446370181113925239724352569732346381583781607572237058000535328422"
  },
  "1": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "1.207423594952871259436378817028286995385348944644442537538620971681617349026550483112472823650305294"
  },
  "-2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.4123025879563984880832340546114610420345348344724047288238769642753796616753812761702252538581759744"
  },
  "2": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "3.298094999978214710280604425223452422003975963403620787682923544837159147310985629250352203056941645"
  },
  "-4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "0.3922347057069992895544918276468434832416121723328910995953531732714224517412370234650234624352322324"
  },
  "4": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "83.84707140846813992258049046104627624061181948502415561777460288274695876310729444037238191884939443"
  },
  "-8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "-0.3312515807511378599698762392757070198124344449306921774254187891706234472477186845694486915508108118"
  },
  "8": {
    "comment": "A bounded simple-real reference; see CITE{balanced-simple}.",
    "number": "1199586.004124459930881654499598420899578783127710177823328778141231718255640574547410381549350976396"
  },
  "-2/cbrt(3)": {
    "param-latex": "$-2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "-0.1269848921460825838653928757366695333540743479619508317719156389590630850106172816882492569409736431"
  },
  "-1/cbrt(3)": {
    "param-latex": "$-1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.2788818604144509205240460438919242623251747233180586328866051048759002035963441712278273688877871632"
  },
  "1/cbrt(3)": {
    "param-latex": "$1/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "0.9689991788799079886814475343047742347865523536746387626700561728552147829105441778266351624886021251"
  },
  "2/cbrt(3)": {
    "param-latex": "$2/\\sqrt[3]{3}$",
    "comment": "A unit-cubic normalization reference; see CITE{balanced-cubic}.",
    "number": "1.682270755776719591374313416081952782737661326127086718893840079862315887645093727631822514955786192"
  }
}