History of Periodic windows of the logistic map by kneading word

who	what
2026-09-09 09:14	bmatschke	say it in sentences rather than in dashes	current reviewed
2026-09-09 08:56	bmatschke with assisted by an agent	logistic-map periodic windows through period 8
2026-09-09 08:56	bmatschke	checking that this table can be written to
2026-09-09 08:56	bmatschke	c is a row rather than a remark, and the links name the entry they mean
2026-09-09 02:44	zeta3	clarify window definitions and entropy comments
2026-09-09 02:16	zeta3	stored the periodic-window entries as flat records
2026-09-09 02:13	zeta3	shortened the periodic-window definition
2026-09-09 02:08	zeta3 with codex-cli	logistic-map periodic windows through period 8
2026-09-09 02:08	zeta3	checking that this table can be written to
2026-09-09 02:07	zeta3	created the logistic-map periodic windows draft
from line 203 (896 lines, 438 fewer than before) @@ -203,1334 +203,896 @@
   number-header: value Numbers:-- params:-    W: RLC-    quantity: onset-  number: '3.828427124746190097603377448419396157139343750753896146353359475981464956924214077700775068655283145'-  comment: period $3$; $r_{\mathrm{on}}=1+2\sqrt2$ CITE{OEISA086178}.-- params:-    W: RLC-    quantity: onset-c-  number: -7/4-  comment: period $3$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLC-    quantity: superstable-  number: '3.831874055283315568410362775496106555797827852603694630478890447774503731227095794442737177288907762'-  comment: period $3$; $r_W$ is the root near $3.83187$ of $r^6-6r^5+4r^4+24r^3-16r^2-32r-64$.-- params:-    W: RLC-    quantity: superstable-c-  number: '-1.754877666246692760049508896358528691894606617772793143989283970646080655128081090738227092842250304'-  comment: period $3$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLC-    quantity: doubling-  number: '3.841499007543507846310702443843943153164514952031854751184826450165563461320098490290154875325010576'-  comment: period $3$; $r_{\mathrm{pd}}$ is the root near $3.84150$ of $r^6-6r^5+4r^4+24r^3-14r^2-36r-81$-    CITE{OEISA086179}.-- params:-    W: RLC-    quantity: doubling-c-  number: '-1.768529152467685015118134998577843403365121825731680418685500565103535794805538536005749121977272489'-  comment: period $3$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLC-    quantity: entropy-  number: '0.4812118250596034474977589134243684231351843343856605196610181688401638676082217744120094291227234750'-  comment: period $3$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^2-    - x - 1$; $h_{\mathrm{top}}=\log\lambda$; $\lambda$ is HREF{Golden_ratio#phi}[the-    golden ratio $\varphi$].-- params:-    W: RLLC-    quantity: onset-  number: '3.960101882689952012229267441585598365547366031312451954555278215550241993899863080714046307957359072'-  comment: period $4$.-- params:-    W: RLLC-    quantity: onset-c-  number: '-1.940550788976149606063779229454231195293619995924889757356214321368912379218164379955158159946665718'-  comment: period $4$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLC-    quantity: superstable-  number: '3.960270127221152601571257798501420544549781431863804269630105765676572279086869849589322270677607577'-  comment: period $4$.-- params:-    W: RLLC-    quantity: superstable-c-  number: '-1.940799806529484752232090979655204176869040714461035523938210176681262797645454057183436754362102789'-  comment: period $4$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLC-    quantity: doubling-  number: '3.960768652406645256046371427380866877425475433389218910176759920822075912075442552844418007072453943'-  comment: period $4$.-- params:-    W: RLLC-    quantity: doubling-c-  number: '-1.941537753268465539334645081335137302112963652443093023862503797514245782358240271484061333910837329'-  comment: period $4$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLC-    quantity: entropy-  number: '0.6093778634360062315368033711683986954285392793128541477762892366225152051203195768397057073419585497'-  comment: period $4$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^3-    - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRC-    quantity: onset-  number: '3.738172375265962369430261559679531973444115440489991922904288455334944230717097796051709049574841765'-  comment: period $5$; $r_{\mathrm{on}}$ is the first period-$5$ onset listed in OEIS-    A118452 CITE{OEISA118452}.-- params:-    W: RLRRC-    quantity: onset-c-  number: '-1.624396989167410562649427341357693883454238107399013052973571375151839118658085300175357732192165002'-  comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRC-    quantity: superstable-  number: '3.738914912970684993085212890376289451230116550807871367006256801980091017452887955021757582632163057'-  comment: period $5$.-- params:-    W: RLRRC-    quantity: superstable-c-  number: '-1.625413725123303737443410575023330183802255938091052410634006738178386457316026119858018767879139791'-  comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRC-    quantity: doubling-  number: '3.741120756632440206307293823670998371000508432656225255249811565073090684557011894475098622922002505'-  comment: period $5$.-- params:-    W: RLRRC-    quantity: doubling-c-  number: '-1.628435750610300372318917760766091968591955392160702279203567325940312210802218870638490604481654313'-  comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRC-    quantity: entropy-  number: '0.4140127373937918204806368153100175578546101763083410076870680620346485273270767355612604258375425856'-  comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^4-    - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRC-    quantity: onset-  number: '3.905571870172499788433165533744113866118423918706080014361586222258367784574314390881789615335012690'-  comment: period $5$.-- params:-    W: RLLRC-    quantity: onset-c-  number: '-1.860586973184429491433617619202588231152110652446376460387939716751506781700242161445100609535816259'-  comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRC-    quantity: superstable-  number: '3.905706469831290354820407092052706925201235915074035546540387773832967560115483920668424640039078843'-  comment: period $5$.-- params:-    W: RLLRC-    quantity: superstable-c-  number: '-1.860782522204854871232242023799874080915734775039867996915880375880518999473389628554990125469320812'-  comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRC-    quantity: doubling-  number: '3.906107428137990139409734699674818990931164746663857124630803191488353481716595547315907674321835483'-  comment: period $5$.-- params:-    W: RLLRC-    quantity: doubling-c-  number: '-1.861365095969700880569453092760749831422857648194405814350349597874379871110916741802428475276489024'-  comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRC-    quantity: entropy-  number: '0.5435350724978695498926364006192337217181767537693045902578565450006843770349604030842035014653078917'-  comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^4-    - x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLC-    quantity: onset-  number: '3.990257307413383568835334751017794362481470848315599601899881892646826819868813562370790452724779994'-  comment: period $5$.-- params:-    W: RLLLC-    quantity: onset-c-  number: '-1.985409691134784680944520103256752125816322197232533177342461889138223687794624848575549797820489719'-  comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLC-    quantity: superstable-  number: '3.990267046973701518277526388554317983365989821566078137012259342089850199944116012482342685236159997'-  comment: period $5$.-- params:-    W: RLLLC-    quantity: superstable-c-  number: '-1.985424253054205310609750582718674337261701607315313871640456439268917891459381820804266931996038787'-  comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLC-    quantity: doubling-  number: '3.990296185577653667268262304717267208417954589169608982726031362737549971787550078904182461935827168'-  comment: period $5$.-- params:-    W: RLLLC-    quantity: doubling-c-  number: '-1.985467819370066335075193010514793892765796313362359379115885207603067007871259199091137302447081533'-  comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLC-    quantity: entropy-  number: '0.6562559792369758084816619843129949085508630230767612918556264734285532085454909658008270936824151612'-  comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^4-    - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRRC-    quantity: onset-  number: '3.626553161694973725877232252093317491709475785795024696802437226790072120100839389126324793567313628'-  comment: period $6$; $r_{\mathrm{on}}$ is the first period-$6$ onset listed in OEIS-    A118453 CITE{OEISA118453}.-- params:-    W: RLRRRC-    quantity: onset-c-  number: '-1.474695377802465698628143054748346551819157517855114442759213670487618182614369924218623943133298054'-  comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRC-    quantity: superstable-  number: '3.627557529515523203374874102017441679844714136686374286012689587697194022095545243782090031824496942'-  comment: period $6$.-- params:-    W: RLRRRC-    quantity: superstable-c-  number: '-1.476014642728429897517365371395994438779215886771978538678946105805340164802932069582523021733869361'-  comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRRC-    quantity: doubling-  number: '3.630388700012403939680192121843394176179858556711454807750726264145749087549006701107546781562950989'-  comment: period $6$.-- params:-    W: RLRRRC-    quantity: doubling-c-  number: '-1.479736178288236091385167949992841066494132902697659749912371122707702333320187333031930698077303512'-  comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRC-    quantity: entropy-  number: '0.2406059125298017237488794567121842115675921671928302598305090844200819338041108872060047145613617375'-  comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^4-    - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$; $h_{\mathrm{top}}$ is half the entropy-    of $\mathtt{RLC}$.-- params:-    W: RLLRLC-    quantity: onset-  number: '3.841499007543507846310702443843943153164514952031854751184826450165563461320098490290154875325010576'-  comment: period $6$; $r_{\mathrm{on}}$ is the first period-doubling point of $\mathtt{RLC}$.-- params:-    W: RLLRLC-    quantity: onset-c-  number: '-1.768529152467685015118134998577843403365121825731680418685500565103535794805538536005749121977272489'-  comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLC-    quantity: superstable-  number: '3.844568792194432972900784876245583103531857468454920780151622672757676973037934822849180481222279512'-  comment: period $6$.-- params:-    W: RLLRLC-    quantity: superstable-c-  number: '-1.772892903381623799434128230874643248588007176944030043908240150268782170722308166776912159525908237'-  comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRLC-    quantity: doubling-  number: '3.847610661179367621802588375816176703968577555425276856248017121922341893535302910547935569489533356'-  comment: period $6$.-- params:-    W: RLLRLC-    quantity: doubling-c-  number: '-1.777221619415598806299676534122188773457619027519213013491557243394457166990805543410018346698564709'-  comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLC-    quantity: entropy-  number: '0.4812118250596034474977589134243684231351843343856605196610181688401638676082217744120094291227234750'-  comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^2-    - x - 1$; $h_{\mathrm{top}}=\log\lambda$; the entropy equals that of $\mathtt{RLC}$.-- params:-    W: RLLRRC-    quantity: onset-  number: '3.937516418983030658919905029393234867268426368582458396785601151276292369365133664892565150033925239'-  comment: period $6$.-- params:-    W: RLLRRC-    quantity: onset-c-  number: '-1.907250677948722031228876904515825664748053457302999457823758076358302303057042951379629921318480427'-  comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRC-    quantity: superstable-  number: '3.937536444754551104561950581971038733652159155152240382840687368153059815867785081333482369794379584'-  comment: period $6$.-- params:-    W: RLLRRC-    quantity: superstable-c-  number: '-1.907280091065301968397929087482382736408205369170374848433827429587273280008659144640076682537169035'-  comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRC-    quantity: doubling-  number: '3.937596466686345177756987847219078465183006263187776363685746501386819776260086853926648991906034873'-  comment: period $6$.-- params:-    W: RLLRRC-    quantity: doubling-c-  number: '-1.907368250272024873435302079155424224935622954688941975834124334363798479298640665563717574632933379'-  comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRC-    quantity: entropy-  number: '0.5835568193858775853074276352840092863922199799502718224832316530257187332361298868272713897349969521'-  comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^5-    - x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRC-    quantity: onset-  number: '3.977760440936972441070420337022955798631105365769945880301537870542484270889914018942344874599547837'-  comment: period $6$.-- params:-    W: RLLLRC-    quantity: onset-c-  number: '-1.966764310902288134414343805710578152305616395636589787986264420426350269324718492010280087630485328'-  comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRC-    quantity: superstable-  number: '3.977766422265472914020545451260876758642722685640425884501434428015535816949087140326017511526655430'-  comment: period $6$.-- params:-    W: RLLLRC-    quantity: superstable-c-  number: '-1.966773216392928685678055598464378166491189446526618286047326346691721175596583632444302783310915776'-  comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRC-    quantity: doubling-  number: '3.977784350737002120279235567433295914983496745761000918216360211427166147740260969168118706730441919'-  comment: period $6$.-- params:-    W: RLLLRC-    quantity: doubling-c-  number: '-1.966799909873547314977955682657141324886757708396555808166169613006915685918022035285101526151347576'-  comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRC-    quantity: entropy-  number: '0.6329743192009474501481832460801859300728576976886075268319739483062799438148109826273510874461527725'-  comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^4-    - 2*x^3 + x^2 - 2*x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLC-    quantity: onset-  number: '3.997582523904762524251454978910488316042522324828258602884655653466709476647198529876987852577062785'-  comment: period $6$.-- params:-    W: RLLLLC-    quantity: onset-c-  number: '-1.996375246904811547535411357374172843493900213923548108181814138427380024055195214312000209273524183'-  comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLC-    quantity: superstable-  number: '3.997583118254567266100194720817863093675017299222944348764191247141084349032453845784339704645429475'-  comment: period $6$.-- params:-    W: RLLLLC-    quantity: superstable-c-  number: '-1.996376137711193750644879819060606618293370308633844154239242430988582520429178934025958304373872323'-  comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLC-    quantity: doubling-  number: '3.997584900125419618837829701416315498873057274159621308775943153115203052215595059385017808317304530'-  comment: period $6$.-- params:-    W: RLLLLC-    quantity: doubling-c-  number: '-1.996378808364980477799949451065884598254755577489927744625682182436925645634590238965968536579852405'-  comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLC-    quantity: entropy-  number: '0.6759746921034222048702355102771254108805217604721743026195707245561942310098481569582292290018313319'-  comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^5-    - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRRRC-    quantity: onset-  number: '3.701640764160349581824643789840889220144291589515206443123456257307919373552959778240516280242008702'-  comment: period $7$; $r_{\mathrm{on}}$ is the first period-$7$ onset listed in OEIS-    A118746 CITE{OEISA118746}.-- params:-    W: RLRRRRC-    quantity: onset-c-  number: '-1.574715704643229407380333578304632229082622726657881487010477669486692189146062413789805022828606714'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRRC-    quantity: superstable-  number: '3.701769153537956114193310843013006048494133215749332831848494410468474023169676359504177384520527374'-  comment: period $7$.-- params:-    W: RLRRRRC-    quantity: superstable-c-  number: '-1.574889139752300969819965552495974283771948275051920108329908603574997581722351888558432214297115957'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRRRC-    quantity: doubling-  number: '3.702154928153588770222612312426413655918603425946700817575042789935462662015847094896913198844497126'-  comment: period $7$.-- params:-    W: RLRRRRC-    quantity: doubling-c-  number: '-1.575410313936181622177143136112878249492078662022609900882148922101187426988858449035375580650423930'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRRC-    quantity: entropy-  number: '0.3822450858400356413293584991848573937594164224201954300292839383616548905505831820170135085159009127'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^3-    - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRLRC-    quantity: onset-  number: '3.774133385584886599999544750968183948302478327288125754512327632928741133732183548824565013894318087'-  comment: period $7$.-- params:-    W: RLRRLRC-    quantity: onset-c-  number: '-1.673954010254166278084462122945931947374323563645999487409213474555793083156599017169805046622236050'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRLRC-    quantity: superstable-  number: '3.774214188900913232127399722041048182060840120285006726450249002712212424365581891999803919920051863'-  comment: period $7$.-- params:-    W: RLRRLRC-    quantity: superstable-c-  number: '-1.674066091474787971565296029172325596206403719925258163289474362780555130416606811320252923549433643'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRLRC-    quantity: doubling-  number: '3.774455772798689443686290958262552223210350194122253711520712260490572313597387890407678478565346325'-  comment: period $7$.-- params:-    W: RLRRLRC-    quantity: doubling-c-  number: '-1.674401208803993264694925660075453787531770094417279825391017812312196254867080563235312547982857297'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRLRC-    quantity: entropy-  number: '0.4421378287316384595584503617785560502498667018373349568907998184867266671127156086440823217405674868'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 + x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRLRC-    quantity: onset-  number: '3.886028805002814483072083236371992144949475335183289449896090762441557076796503452148438692021724613'-  comment: period $7$.-- params:-    W: RLLRLRC-    quantity: onset-c-  number: '-1.832290565826493345858610536092337273551936518513513693443121591977904821318763577237569326824504995'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRC-    quantity: superstable-  number: '3.886045878187822011522491985166861831306189197736503862108247851787295523774191923400144994632359944'-  comment: period $7$.-- params:-    W: RLLRLRC-    quantity: superstable-c-  number: '-1.832315202751229192084897526042518143229339893506219597603881639013923985476096050081996383480503411'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRLRC-    quantity: doubling-  number: '3.886097052252474703589062170547314269036143467080959326548151736528028632100737755207381864626880528'-  comment: period $7$.-- params:-    W: RLLRLRC-    quantity: doubling-c-  number: '-1.832389048755105924882418943918758669806857089849467378469676239731433128849883473268735723520898397'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRC-    quantity: entropy-  number: '0.5223150571797636676057540713298795817891139228335266307655807783463452712885502313376428095700000838'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 + x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRRRC-    quantity: onset-  number: '3.922185905463235174179160705168870316344728999094299495391706381213661188929578277575057402605557724'-  comment: period $7$.-- params:-    W: RLLRRRC-    quantity: onset-c-  number: '-1.884792616521996904646928385336366080822185910855904385302351886309935152770167914879902727195268095'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRC-    quantity: superstable-  number: '3.922193403309700028472413580359373772802740342844941601446308625996417829894533595664919275066297848'-  comment: period $7$.-- params:-    W: RLLRRRC-    quantity: superstable-c-  number: '-1.884803571586681792329478092915839649635927126568451086477445146339028585107127064035334694409711173'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRRC-    quantity: doubling-  number: '3.922215881776105533615917879334243503629088834836199613785118545143504746592023019621926940928473553'-  comment: period $7$.-- params:-    W: RLLRRRC-    quantity: doubling-c-  number: '-1.884836414926125498232792240518496196070307341647882919967227080375538154765870077981761703059122389'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRC-    quantity: entropy-  number: '0.5623991486459236930241015281357565995840464514881329253514606686360769061242417826459754149509881096'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^3-    - 2*x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRRLC-    quantity: onset-  number: '3.951027355414705409366713613009604520554202082306043298818935927181239165902425268297578122836472343'-  comment: period $7$.-- params:-    W: RLLRRLC-    quantity: onset-c-  number: '-1.927140613101477509946817693360616788661682652845526765387054396927325708491690436342219103996105579'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRLC-    quantity: superstable-  number: '3.951032164761306197891492318692053579500978056252822261505773604818792971458708401105986848757068516'-  comment: period $7$.-- params:-    W: RLLRRLC-    quantity: superstable-c-  number: '-1.927147709363950262460068188946594278007127957666936791637019227516202318233430701742416720301058406'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRLC-    quantity: doubling-  number: '3.951046597417378452087715599473224682648629170776503276640591936743237100601604618080761910729196353'-  comment: period $7$.-- params:-    W: RLLRRLC-    quantity: doubling-c-  number: '-1.927169005032171732640841525731421722737437803911240766211194608473214653369536384821047768600867005'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRLC-    quantity: entropy-  number: '0.6010014635615238945922165119986414954352882766962744088188349494158573627662994406742439999919567061'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 + x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRLC-    quantity: onset-  number: '3.968974213355921489848012727002553905694225522756762058031468133763672907555006277463179724045687631'-  comment: period $7$.-- params:-    W: RLLLRLC-    quantity: onset-c-  number: '-1.953701969893103204887315564617102922246925862783939778732946421555976947509416171380520255452039417'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLC-    quantity: superstable-  number: '3.968976856955537971495294805539108946037783703799351121542877785508392114874854378195569440319125445'-  comment: period $7$.-- params:-    W: RLLLRLC-    quantity: superstable-c-  number: '-1.953705894284396245427622199013653238901535456878068475145301474330533287552533662410171083425556907'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRLC-    quantity: doubling-  number: '3.968984782564841919744772307183367285778950551696867634862611772963580809917611820441102217769464538'-  comment: period $7$.-- params:-    W: RLLLRLC-    quantity: doubling-c-  number: '-1.953717659775400413058708750616463327489601380636663062688361755520433966886457605428694554456386377'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLC-    quantity: entropy-  number: '0.6183622093451163254328878318858700802410097601306338174398081638756018957724383667073654105154595007'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 - x^2 + x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRRC-    quantity: onset-  number: '3.984746617117961562539941995044746516855226230365388320399580625808205835600273687798270302880259136'-  comment: period $7$.-- params:-    W: RLLLRRC-    quantity: onset-c-  number: '-1.977178092099278859617041631102235126538406603940753906641173250247915562322733886927312594866196777'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRC-    quantity: superstable-  number: '3.984747618815538907772276907561454679676957411498679554095395415385117352738851840883073537397452987'-  comment: period $7$.-- params:-    W: RLLLRRC-    quantity: superstable-c-  number: '-1.977179587006257387346088520662828616836483119614126188894964036958779814776736129422816867913153305'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRRC-    quantity: doubling-  number: '3.984750623369319488663335684641902270522050587697569427282012348360632989626388514305925150107921745'-  comment: period $7$.-- params:-    W: RLLLRRC-    quantity: doubling-c-  number: '-1.977184070925885319221065532173161600744944476011374154654110859657494742592858244654120427462584618'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRC-    quantity: entropy-  number: '0.6457107068710058949508749656015280172218090248209520030562287850906054488818234514874051685448907444'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLRC-    quantity: onset-  number: '3.994537466821304094471459652738996432157484347436955481659634402941910775933929920030709206742374548'-  comment: period $7$.-- params:-    W: RLLLLRC-    quantity: onset-c-  number: '-1.991813660049138230105629802816033248198703637985623481551004033231855948014811987199475026549790230'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRC-    quantity: superstable-  number: '3.994537809111197190417220573536005876265512277401941519589583013418430887712192292375342353360909627'-  comment: period $7$.-- params:-    W: RLLLLRC-    quantity: superstable-c-  number: '-1.991814172549122215732560949862288112398840479094439836523016087980045018029971370721309604046086354'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLRC-    quantity: doubling-  number: '3.994538835800214273101423989020183665537761309219249903005457208334390054246504862911868583126934979'-  comment: period $7$.-- params:-    W: RLLLLRC-    quantity: doubling-c-  number: '-1.991815709778925664971840735179586886714583533218322676297960179157499022994670938220731244133427261'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRC-    quantity: entropy-  number: '0.6662159015140127416264159553911686576217155658796753187985835509073395889042876179832187252017783508'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLLC-    quantity: onset-  number: '3.999397024083989298851031655198098311928961334225407147109489112991623382006088004782805101637356311'-  comment: period $7$.-- params:-    W: RLLLLLC-    quantity: onset-c-  number: '-1.999095627020972770512579033545857080458572046257630738666249422504396024167972927284553213425134487'-  comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLC-    quantity: superstable-  number: '3.999397060962098411191495707485953442874478379741847608438667159554951228082454648646320743388701683'-  comment: period $7$.-- params:-    W: RLLLLLC-    quantity: superstable-c-  number: '-1.999095682327018473210629999222294462129240158216774560026431683438161266678158911694297434848587857'-  comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLLC-    quantity: doubling-  number: '3.999397171578339685885389178679490160210002792117128770079994100321368536765179901195306601142436685'-  comment: period $7$.-- params:-    W: RLLLLLC-    quantity: doubling-c-  number: '-1.999095848218036019194451664450140806924040597328020379450530301297250672551525444536043315172533637'-  comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLC-    quantity: entropy-  number: '0.6849047263840670390265450045421892791553012853281446507991516039400347971679896430573147260920963341'-  comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^5 - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRRRRC-    quantity: onset-  number: '3.662108913209440482494985179401963324650410704107152165354024618133906761088718265064650386993431985'-  comment: period $8$.-- params:-    W: RLRRRRRC-    quantity: onset-c-  number: '-1.521705966447287079857426590871368336465139889444578447293332988746392859707338851152741447169990168'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRRRC-    quantity: superstable-  number: '3.662192503686576753408760104323259108936150156636422138356293900513767325702574707143942294185756894'-  comment: period $8$.-- params:-    W: RLRRRRRC-    quantity: superstable-c-  number: '-1.521817231671250995197287331707767489051013082756997403689583385621888673294580368952335546937639231'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRRRRC-    quantity: doubling-  number: '3.662440707218951929165078336760059594086303533738695742749539226376857535483402474794235903432540537'-  comment: period $8$.-- params:-    W: RLRRRRRC-    quantity: doubling-c-  number: '-1.522147629864138226804627530138195947912311543148869209558512538819977500764194424328823656868599160'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRRRRC-    quantity: entropy-  number: '0.3046889317180031157684016855841993477142696396564270738881446183112576025601597884198528536709792749'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^4 - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLRRLRRC-    quantity: onset-  number: '3.800740116185650269544019660574655861309171054123192705182714339639571202916446745946604193102552789'-  comment: period $8$.-- params:-    W: RLRRLRRC-    quantity: onset-c-  number: '-1.711036299602902442737690951277512930319039950384594600110155258433719086394963560881882838269175844'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRLRRC-    quantity: superstable-  number: '3.800770943874669769373681094541042531243472703358879522602247670292807561204709814947813850209126113'-  comment: period $8$.-- params:-    W: RLRRLRRC-    quantity: superstable-c-  number: '-1.711079470013152149832420460633546039822793809005903801634378634018166805386594484770160438100675051'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLRRLRRC-    quantity: doubling-  number: '3.800863743732897904084706007163771486772100384137176509039574256518946369845106365626002988508651811'-  comment: period $8$.-- params:-    W: RLRRLRRC-    quantity: doubling-c-  number: '-1.711209427739366095820057162592591641773652365550620286495157645838218896700024271390032733748352196'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLRRLRRC-    quantity: entropy-  number: '0.4682578962892690238036677941634449344169555421683316556539680294062710052381178192465630827549336519'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 + x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRLRRC-    quantity: onset-  number: '3.870532112458717263207972364869970022767695740237793392956847349422364764798557724149372990811657125'-  comment: period $8$.-- params:-    W: RLLRLRRC-    quantity: onset-c-  number: '-1.809988652164176453236225785775167876673228995304522747952629963681413768981446612845349671697059530'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRRC-    quantity: superstable-  number: '3.870540984363757223187552694640279443822824350492893990073711037436607789532630305195266521527276241'-  comment: period $8$.-- params:-    W: RLLRLRRC-    quantity: superstable-c-  number: '-1.810001385728012072726032393667559396296122986892711420916360880856159395711565821698619522407255262'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRLRRC-    quantity: doubling-  number: '3.870567556387604950796347735272878721876250891292225812705573427397501939750073298042576013103312553'-  comment: period $8$.-- params:-    W: RLLRLRRC-    quantity: doubling-c-  number: '-1.810039523946276382188045485554661020085427753272787965259104514292073564586411288754173646589688744'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRRC-    quantity: entropy-  number: '0.4997469349065763168991860640637229310389301065375144476786707038210553682691211962756263081149196064'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^5-    - x^4 - 2*x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRLRLC-    quantity: onset-  number: '3.899462408673439157018516146563113876052217522856198864337870406379532456949432946795493024496163428'-  comment: period $8$.-- params:-    W: RLLRLRLC-    quantity: onset-c-  number: '-1.851720564827595376038578538001835952834549716192905305197505615737715182028694607878339480789497874'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRLC-    quantity: superstable-  number: '3.899468950970602334169343447876952058563575863402143335153498044409864620831012622634717790874904141'-  comment: period $8$.-- params:-    W: RLLRLRLC-    quantity: superstable-c-  number: '-1.851730049410641290596284907276327419107492715710647186733310413609309893471554769608371185572932297'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRLRLC-    quantity: doubling-  number: '3.899488629309009671280936948826224897212120914987800847214076147843720205710519899310334651748989133'-  comment: period $8$.-- params:-    W: RLLRLRLC-    quantity: doubling-c-  number: '-1.851758577873059924338924018030085170565618385123812492346045088537181327718652331029802797532594083'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRLRLC-    quantity: entropy-  number: '0.5397924974635598516522691635593408071246983296560781743694898196447683749373723518833851037497626782'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 + x^3 + x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRRRLC-    quantity: onset-  number: '3.912042017282251570438911869551972263270073203430034409588531263973526045008764119452992536679421316'-  comment: period $8$.-- params:-    W: RLLRRRLC-    quantity: onset-c-  number: '-1.869997177604321288511089735201491105115020084787641987260505945231724668608092707299109609110054444'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRLC-    quantity: superstable-  number: '3.912046621075126511047630238514592355234828476629003000739736565922825911070253189226716469193009517'-  comment: period $8$.-- params:-    W: RLLRRRLC-    quantity: superstable-c-  number: '-1.870003880828765361573296401227468790696423696464304693260405238171948285162690925062060734303712142'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRRLC-    quantity: doubling-  number: '3.912060397754645243588899978404765138337402146939599270071460195423799135989730090654032567636106223'-  comment: period $8$.-- params:-    W: RLLRRRLC-    quantity: doubling-c-  number: '-1.870023940042735666212199248871173443708967774213352833867571341028878363918626515391419157296956499'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRLC-    quantity: entropy-  number: '0.5476118702402008170801971585567613545872935585570976556005129166067851921236434276200537897371193088'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - x^4 - 2*x^3 - x^2 - 2*x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRRRRC-    quantity: onset-  number: '3.930471319516693364871234452625797445704922732760487208392827514601283947617643474006912450624468022'-  comment: period $8$.-- params:-    W: RLLRRRRC-    quantity: onset-c-  number: '-1.896915538627477483553120354097771481340591228295339892839592795570451894574611351260690601539509518'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRRC-    quantity: superstable-  number: '3.930472995732144840644021355896516382571134630536351525803027036728044993563183987910599569536004700'-  comment: period $8$.-- params:-    W: RLLRRRRC-    quantity: superstable-c-  number: '-1.896917994678832848351950512749427493238309249098198186635171971591942057636612517950412005378837068'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRRRC-    quantity: doubling-  number: '3.930478024327372919915052655578150994340366244402160516703063628417083535505703829374919645718297173'-  comment: period $8$.-- params:-    W: RLLRRRRC-    quantity: doubling-c-  number: '-1.896925362766415717758680134160733121641086630106107852153493493275274186188855816790910645543666536'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRRRC-    quantity: entropy-  number: '0.5748640467968352377697804623968670130791744512058141617667781668766908560661850306087239767075093449'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 + x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLRRLRC-    quantity: onset-  number: '3.944212196585010526408470603300072301166721867656622915230067447936626232702915413343117233559833465'-  comment: period $8$.-- params:-    W: RLLRRLRC-    quantity: onset-c-  number: '-1.917096364629983167405658942973954328676192150859132009516566131459369016123311436304666594500521168'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRLRC-    quantity: superstable-  number: '3.944213495732550988086109017328782885953259488294611311717779104444982533642044894925581646379964505'-  comment: period $8$.-- params:-    W: RLLRRLRC-    quantity: superstable-c-  number: '-1.917098277113422008833510932966779371236124465024502517689818098870808062416851814418466663315510217'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLRRLRC-    quantity: doubling-  number: '3.944217392716251503693647907641412771126567215884055599957619318355952086197007876146491813224455899'-  comment: period $8$.-- params:-    W: RLLRRLRC-    quantity: doubling-c-  number: '-1.917104013893220483238749258936981520671647711256654437709208055049456961361194387040826542444524455'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLRRLRC-    quantity: entropy-  number: '0.5917189080612842698607150526771911119954496801779894835375029446718954303023597837038053235183539009'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 + x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRLLC-    quantity: onset-  number: '3.960768652406645256046371427380866877425475433389218910176759920822075912075442552844418007072453943'-  comment: period $8$; $r_{\mathrm{on}}$ is the first period-doubling point of $\mathtt{RLLC}$.-- params:-    W: RLLLRLLC-    quantity: onset-c-  number: '-1.941537753268465539334645081335137302112963652443093023862503797514245782358240271484061333910837329'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLLC-    quantity: superstable-  number: '3.960933697547581466371142299135839172920423872079796785354269378905529636265236266311554757383705554'-  comment: period $8$.-- params:-    W: RLLLRLLC-    quantity: superstable-c-  number: '-1.941782090318198160140455136524972704898489796458099671661877339955525967487513658235591165702514575'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRLLC-    quantity: doubling-  number: '3.961098633486188820919718364687632275505865603796306323143193436067485131345044720979259133843380334'-  comment: period $8$.-- params:-    W: RLLLRLLC-    quantity: doubling-c-  number: '-1.942026279308443698811724818607598194944924281338460122297575548543814697630899686939604501633135288'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLLC-    quantity: entropy-  number: '0.6093778634360062315368033711683986954285392793128541477762892366225152051203195768397057073419585497'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^3-    - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$; the entropy equals that of $\mathtt{RLLC}$.-- params:-    W: RLLLRLRC-    quantity: onset-  number: '3.973723762395857200730761432266542698680782241795843848875526856269484767386769043799732822418687560'-  comment: period $8$.-- params:-    W: RLLLRLRC-    quantity: onset-c-  number: '-1.960758253759443143125110248584684357683338793500136497251176178707866489242937422846941717351258127'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLRC-    quantity: superstable-  number: '3.973724255674980337822883993721114490289705942652436601074755616440307058453306645045033896568229278'-  comment: period $8$.-- params:-    W: RLLLRLRC-    quantity: superstable-c-  number: '-1.960758987197428957479901627201746582819406657357862148103980091304574106073655390311192546255773545'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRLRC-    quantity: doubling-  number: '3.973725735423457405349991897874708592020131884557529470404052406035387518706979747221108971021760316'-  comment: period $8$.-- params:-    W: RLLLRLRC-    quantity: doubling-c-  number: '-1.960761187379945648277627837912193209561089051499896727039912535903910513898218292897772903136282491'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRLRC-    quantity: entropy-  number: '0.6264426221026037992162732472562463584534961060224227767783113374562672064844081482539000123805726028'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 - x^3 + x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRRRC-    quantity: onset-  number: '3.981408635979901517560970944275589368801122590531734351329518712228731634231697148277751478021283931'-  comment: period $8$.-- params:-    W: RLLLRRRC-    quantity: onset-c-  number: '-1.972199363673884229442993202153246443901891588911448865377835892255020002073736985685619600666981904'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRRC-    quantity: superstable-  number: '3.981408954415261495395529301975011729042537023837915853842593414895880128174937863980003054458899338'-  comment: period $8$.-- params:-    W: RLLLRRRC-    quantity: superstable-c-  number: '-1.972199838366875699354940943628367727527556633676016311543483446546690420312525133230686983708021685'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRRRC-    quantity: doubling-  number: '3.981409909660411356397596171913212427274860784188635792022388925331314983361194804609546008047882536'-  comment: period $8$.-- params:-    W: RLLLRRRC-    quantity: doubling-c-  number: '-1.972201262355325551348997675275987706905933449974085928017966448025181916453064259872834062700147132'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRRC-    quantity: entropy-  number: '0.6391899326598130388240901324599952072591553666547079343960562150398365829981817920230864003961974078'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 - x^3 + x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLRRLC-    quantity: onset-  number: '3.987745285349480601383890365898478373959865927602208868204183274102352762106448594415709533212265539'-  comment: period $8$.-- params:-    W: RLLLRRLC-    quantity: onset-c-  number: '-1.981655472532012315772375630520963193419526119028740699823884279598876356424843480546761437928679654'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRLC-    quantity: superstable-  number: '3.987745495370075483821404555582378116634167436580517047039344261876290664741215863536340880581136709'-  comment: period $8$.-- params:-    W: RLLLRRLC-    quantity: superstable-c-  number: '-1.981655786276044436082912388688275325921609985743449955431559578577448510223465800497120254259583688'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLRRLC-    quantity: doubling-  number: '3.987746125417485357220439457873622419269484067589975022299741360683630535345330972837058944279911536'-  comment: period $8$.-- params:-    W: RLLLRRLC-    quantity: doubling-c-  number: '-1.981656727486799035433377886402877546588539423788459236747426580472726730993950798152094252176823795'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLRRLC-    quantity: entropy-  number: '0.6517666834215227498951343928630231144891116678343853491206890411188226128861784636299763312446363640'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - 2*x^5 + x^4 - 2*x^3 + x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLRLC-    quantity: onset-  number: '3.992519399682352431486060579339922667741372238348303445577453540930719908932816422094346108727458752'-  comment: period $8$.-- params:-    W: RLLLLRLC-    quantity: onset-c-  number: '-1.988793089368806744454828551070683348459939994608405517498658240760089757329802350378329473707942136'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRLC-    quantity: superstable-  number: '3.992519523284331897786690976275686086412434705786432527589167749683230334642511617609484898816711553'-  comment: period $8$.-- params:-    W: RLLLLRLC-    quantity: superstable-c-  number: '-1.988793274309471259839367775061205543127682526515804968022566929016540202791668452158141855395167388'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLRLC-    quantity: doubling-  number: '3.992519894066919479235621934021452162065156946924187555864997484869989701847519006871318738862282464'-  comment: period $8$.-- params:-    W: RLLLLRLC-    quantity: doubling-c-  number: '-1.988793829096571745455478829686267217671370544653881007784571223473312257526124406755894359412822792'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRLC-    quantity: entropy-  number: '0.6607909182862917105365364859711215906388029984208201560206927691524562768056083265969998626742249573'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 - x^3 - x^2 + x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLRRC-    quantity: onset-  number: '3.996219537052268091847193629658916159697825578251249095882869718271619053948697898626002473598046856'-  comment: period $8$.-- params:-    W: RLLLLRRC-    quantity: onset-c-  number: '-1.994332878553426931227818974259330289260069032919247854411117034960774413789517801301073694485491441'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRRC-    quantity: superstable-  number: '3.996219595901164854911278514157144852312316466929969285351214084200151303506481380630949621508892713'-  comment: period $8$.-- params:-    W: RLLLLRRC-    quantity: superstable-c-  number: '-1.994332966715534904758276859241877571665259148564925261175230080782143422942012411283044531845570901'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLRRC-    quantity: doubling-  number: '3.996219772440470560913133895443558067395628147970171943516429440995508101289814403034164215501498347'-  comment: period $8$.-- params:-    W: RLLLLRRC-    quantity: doubling-c-  number: '-1.994333231190806297844434654763467395129400914575102166814895956757065266546038248023418317630536788'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLRRC-    quantity: entropy-  number: '0.6713170136526259346020626331280442194228450020360553557542713414020113778740442359499853255561395849'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^5-    - x^4 - 2*x^3 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLLRC-    quantity: onset-  number: '3.998641615329287157332537506962064844319789177954475397981379422480568988528183406273015486875171084'-  comment: period $8$.-- params:-    W: RLLLLLRC-    quantity: onset-c-  number: '-1.997962884296159142908307188958435761662256416622457071765906476301717095440937665999064719775999703'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLRC-    quantity: superstable-  number: '3.998641636206443602403492515258255085545110351024218029845030847683639128258331770147976601388927838'-  comment: period $8$.-- params:-    W: RLLLLLRC-    quantity: superstable-c-  number: '-1.997962915597714314837125904277217321267833449912631374749804326487668403724165048355291034539083718'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLLRC-    quantity: doubling-  number: '3.998641698835310571177688635533739721276620069612066301595808276764030087495753295664253851129699454'-  comment: period $8$.-- params:-    W: RLLLLLRC-    quantity: doubling-c-  number: '-1.997963009498479355931242992466397315111328187593140075182455807105596514868851953435127671276967973'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLRC-    quantity: entropy-  number: '0.6804766008728410576345498594714966317371684364472755687544788841692024862636447597868423347923600163'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^6-    - 2*x^5 + x^4 - 2*x^3 + x^2 - 2*x + 1$; $h_{\mathrm{top}}=\log\lambda$.-- params:-    W: RLLLLLLC-    quantity: onset-  number: '3.999849359713914445493109243275757790484341865746318478140410284286476424899003930295164010405774898'-  comment: period $8$.-- params:-    W: RLLLLLLC-    quantity: onset-c-  number: '-1.999774045243995616224090560049811946191435106673003993694510185353213771596632693270589720218756095'-  comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLLC-    quantity: superstable-  number: '3.999849362013851070480287025220670591134590055617076966641977634592248041783594222732223795006028090'-  comment: period $8$.-- params:-    W: RLLLLLLC-    quantity: superstable-c-  number: '-1.999774048693727323471700996130915760674511960788419987606429651556462629287368141952989631187626142'-  comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation-    CITE{formula-conversion}.-- params:-    W: RLLLLLLC-    quantity: doubling-  number: '3.999849368913379841119021607224808634940836343632346531758017858221390370719446070324724380060600499'-  comment: period $8$.-- params:-    W: RLLLLLLC-    quantity: doubling-c-  number: '-1.999774059042500825770984374146495497318926928283901010564309995633649261282137417184736886859922194'-  comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$-    normalisation CITE{formula-conversion}.-- params:-    W: RLLLLLLC-    quantity: entropy-  number: '0.6891211854090296645856864820140183890319207822280265535590938317172931687130026903675465420860413724'-  comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies $x^7-    - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLC:+    onset:+      number: '3.828427124746190097603377448419396157139343750753896146353359475981464956924214077700775068655283145'+      comment: period $3$; $r_{\mathrm{on}}=1+2\sqrt2$ CITE{OEISA086178}.+    onset-c:+      number: -7/4+      comment: period $3$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.831874055283315568410362775496106555797827852603694630478890447774503731227095794442737177288907762'+      comment: period $3$; $r_W$ is the root near $3.83187$ of $r^6-6r^5+4r^4+24r^3-16r^2-32r-64$.+    superstable-c:+      number: '-1.754877666246692760049508896358528691894606617772793143989283970646080655128081090738227092842250304'+      comment: period $3$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.841499007543507846310702443843943153164514952031854751184826450165563461320098490290154875325010576'+      comment: period $3$; $r_{\mathrm{pd}}$ is the root near $3.84150$ of $r^6-6r^5+4r^4+24r^3-14r^2-36r-81$+        CITE{OEISA086179}.+    doubling-c:+      number: '-1.768529152467685015118134998577843403365121825731680418685500565103535794805538536005749121977272489'+      comment: period $3$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4812118250596034474977589134243684231351843343856605196610181688401638676082217744120094291227234750'+      comment: period $3$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$; $\lambda$ is HREF{Golden_ratio#phi}[the+        golden ratio $\varphi$].+  RLLC:+    onset:+      number: '3.960101882689952012229267441585598365547366031312451954555278215550241993899863080714046307957359072'+      comment: period $4$.+    onset-c:+      number: '-1.940550788976149606063779229454231195293619995924889757356214321368912379218164379955158159946665718'+      comment: period $4$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.960270127221152601571257798501420544549781431863804269630105765676572279086869849589322270677607577'+      comment: period $4$.+    superstable-c:+      number: '-1.940799806529484752232090979655204176869040714461035523938210176681262797645454057183436754362102789'+      comment: period $4$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.960768652406645256046371427380866877425475433389218910176759920822075912075442552844418007072453943'+      comment: period $4$.+    doubling-c:+      number: '-1.941537753268465539334645081335137302112963652443093023862503797514245782358240271484061333910837329'+      comment: period $4$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6093778634360062315368033711683986954285392793128541477762892366225152051203195768397057073419585497'+      comment: period $4$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRC:+    onset:+      number: '3.738172375265962369430261559679531973444115440489991922904288455334944230717097796051709049574841765'+      comment: period $5$; $r_{\mathrm{on}}$ is the first period-$5$ onset listed+        in OEIS A118452 CITE{OEISA118452}.+    onset-c:+      number: '-1.624396989167410562649427341357693883454238107399013052973571375151839118658085300175357732192165002'+      comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.738914912970684993085212890376289451230116550807871367006256801980091017452887955021757582632163057'+      comment: period $5$.+    superstable-c:+      number: '-1.625413725123303737443410575023330183802255938091052410634006738178386457316026119858018767879139791'+      comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.741120756632440206307293823670998371000508432656225255249811565073090684557011894475098622922002505'+      comment: period $5$.+    doubling-c:+      number: '-1.628435750610300372318917760766091968591955392160702279203567325940312210802218870638490604481654313'+      comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4140127373937918204806368153100175578546101763083410076870680620346485273270767355612604258375425856'+      comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRC:+    onset:+      number: '3.905571870172499788433165533744113866118423918706080014361586222258367784574314390881789615335012690'+      comment: period $5$.+    onset-c:+      number: '-1.860586973184429491433617619202588231152110652446376460387939716751506781700242161445100609535816259'+      comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.905706469831290354820407092052706925201235915074035546540387773832967560115483920668424640039078843'+      comment: period $5$.+    superstable-c:+      number: '-1.860782522204854871232242023799874080915734775039867996915880375880518999473389628554990125469320812'+      comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.906107428137990139409734699674818990931164746663857124630803191488353481716595547315907674321835483'+      comment: period $5$.+    doubling-c:+      number: '-1.861365095969700880569453092760749831422857648194405814350349597874379871110916741802428475276489024'+      comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5435350724978695498926364006192337217181767537693045902578565450006843770349604030842035014653078917'+      comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^4 - x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLC:+    onset:+      number: '3.990257307413383568835334751017794362481470848315599601899881892646826819868813562370790452724779994'+      comment: period $5$.+    onset-c:+      number: '-1.985409691134784680944520103256752125816322197232533177342461889138223687794624848575549797820489719'+      comment: period $5$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.990267046973701518277526388554317983365989821566078137012259342089850199944116012482342685236159997'+      comment: period $5$.+    superstable-c:+      number: '-1.985424253054205310609750582718674337261701607315313871640456439268917891459381820804266931996038787'+      comment: period $5$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.990296185577653667268262304717267208417954589169608982726031362737549971787550078904182461935827168'+      comment: period $5$.+    doubling-c:+      number: '-1.985467819370066335075193010514793892765796313362359379115885207603067007871259199091137302447081533'+      comment: period $5$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6562559792369758084816619843129949085508630230767612918556264734285532085454909658008270936824151612'+      comment: period $5$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRRC:+    onset:+      number: '3.626553161694973725877232252093317491709475785795024696802437226790072120100839389126324793567313628'+      comment: period $6$; $r_{\mathrm{on}}$ is the first period-$6$ onset listed+        in OEIS A118453 CITE{OEISA118453}.+    onset-c:+      number: '-1.474695377802465698628143054748346551819157517855114442759213670487618182614369924218623943133298054'+      comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.627557529515523203374874102017441679844714136686374286012689587697194022095545243782090031824496942'+      comment: period $6$.+    superstable-c:+      number: '-1.476014642728429897517365371395994438779215886771978538678946105805340164802932069582523021733869361'+      comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.630388700012403939680192121843394176179858556711454807750726264145749087549006701107546781562950989'+      comment: period $6$.+    doubling-c:+      number: '-1.479736178288236091385167949992841066494132902697659749912371122707702333320187333031930698077303512'+      comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.2406059125298017237488794567121842115675921671928302598305090844200819338041108872060047145613617375'+      comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^4 - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$; $h_{\mathrm{top}}$ is half+        the entropy of $\mathtt{RLC}$.+  RLLRLC:+    onset:+      number: '3.841499007543507846310702443843943153164514952031854751184826450165563461320098490290154875325010576'+      comment: period $6$; $r_{\mathrm{on}}$ is the first period-doubling point of+        $\mathtt{RLC}$.+    onset-c:+      number: '-1.768529152467685015118134998577843403365121825731680418685500565103535794805538536005749121977272489'+      comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.844568792194432972900784876245583103531857468454920780151622672757676973037934822849180481222279512'+      comment: period $6$.+    superstable-c:+      number: '-1.772892903381623799434128230874643248588007176944030043908240150268782170722308166776912159525908237'+      comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.847610661179367621802588375816176703968577555425276856248017121922341893535302910547935569489533356'+      comment: period $6$.+    doubling-c:+      number: '-1.777221619415598806299676534122188773457619027519213013491557243394457166990805543410018346698564709'+      comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4812118250596034474977589134243684231351843343856605196610181688401638676082217744120094291227234750'+      comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$; the entropy equals that of+        $\mathtt{RLC}$.+  RLLRRC:+    onset:+      number: '3.937516418983030658919905029393234867268426368582458396785601151276292369365133664892565150033925239'+      comment: period $6$.+    onset-c:+      number: '-1.907250677948722031228876904515825664748053457302999457823758076358302303057042951379629921318480427'+      comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.937536444754551104561950581971038733652159155152240382840687368153059815867785081333482369794379584'+      comment: period $6$.+    superstable-c:+      number: '-1.907280091065301968397929087482382736408205369170374848433827429587273280008659144640076682537169035'+      comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.937596466686345177756987847219078465183006263187776363685746501386819776260086853926648991906034873'+      comment: period $6$.+    doubling-c:+      number: '-1.907368250272024873435302079155424224935622954688941975834124334363798479298640665563717574632933379'+      comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5835568193858775853074276352840092863922199799502718224832316530257187332361298868272713897349969521'+      comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^5 - x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRC:+    onset:+      number: '3.977760440936972441070420337022955798631105365769945880301537870542484270889914018942344874599547837'+      comment: period $6$.+    onset-c:+      number: '-1.966764310902288134414343805710578152305616395636589787986264420426350269324718492010280087630485328'+      comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.977766422265472914020545451260876758642722685640425884501434428015535816949087140326017511526655430'+      comment: period $6$.+    superstable-c:+      number: '-1.966773216392928685678055598464378166491189446526618286047326346691721175596583632444302783310915776'+      comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.977784350737002120279235567433295914983496745761000918216360211427166147740260969168118706730441919'+      comment: period $6$.+    doubling-c:+      number: '-1.966799909873547314977955682657141324886757708396555808166169613006915685918022035285101526151347576'+      comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6329743192009474501481832460801859300728576976886075268319739483062799438148109826273510874461527725'+      comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^4 - 2*x^3 + x^2 - 2*x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLC:+    onset:+      number: '3.997582523904762524251454978910488316042522324828258602884655653466709476647198529876987852577062785'+      comment: period $6$.+    onset-c:+      number: '-1.996375246904811547535411357374172843493900213923548108181814138427380024055195214312000209273524183'+      comment: period $6$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.997583118254567266100194720817863093675017299222944348764191247141084349032453845784339704645429475'+      comment: period $6$.+    superstable-c:+      number: '-1.996376137711193750644879819060606618293370308633844154239242430988582520429178934025958304373872323'+      comment: period $6$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.997584900125419618837829701416315498873057274159621308775943153115203052215595059385017808317304530'+      comment: period $6$.+    doubling-c:+      number: '-1.996378808364980477799949451065884598254755577489927744625682182436925645634590238965968536579852405'+      comment: period $6$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6759746921034222048702355102771254108805217604721743026195707245561942310098481569582292290018313319'+      comment: period $6$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^5 - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRRRC:+    onset:+      number: '3.701640764160349581824643789840889220144291589515206443123456257307919373552959778240516280242008702'+      comment: period $7$; $r_{\mathrm{on}}$ is the first period-$7$ onset listed+        in OEIS A118746 CITE{OEISA118746}.+    onset-c:+      number: '-1.574715704643229407380333578304632229082622726657881487010477669486692189146062413789805022828606714'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.701769153537956114193310843013006048494133215749332831848494410468474023169676359504177384520527374'+      comment: period $7$.+    superstable-c:+      number: '-1.574889139752300969819965552495974283771948275051920108329908603574997581722351888558432214297115957'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.702154928153588770222612312426413655918603425946700817575042789935462662015847094896913198844497126'+      comment: period $7$.+    doubling-c:+      number: '-1.575410313936181622177143136112878249492078662022609900882148922101187426988858449035375580650423930'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.3822450858400356413293584991848573937594164224201954300292839383616548905505831820170135085159009127'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^3 - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRLRC:+    onset:+      number: '3.774133385584886599999544750968183948302478327288125754512327632928741133732183548824565013894318087'+      comment: period $7$.+    onset-c:+      number: '-1.673954010254166278084462122945931947374323563645999487409213474555793083156599017169805046622236050'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.774214188900913232127399722041048182060840120285006726450249002712212424365581891999803919920051863'+      comment: period $7$.+    superstable-c:+      number: '-1.674066091474787971565296029172325596206403719925258163289474362780555130416606811320252923549433643'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.774455772798689443686290958262552223210350194122253711520712260490572313597387890407678478565346325'+      comment: period $7$.+    doubling-c:+      number: '-1.674401208803993264694925660075453787531770094417279825391017812312196254867080563235312547982857297'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4421378287316384595584503617785560502498667018373349568907998184867266671127156086440823217405674868'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 + x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRLRC:+    onset:+      number: '3.886028805002814483072083236371992144949475335183289449896090762441557076796503452148438692021724613'+      comment: period $7$.+    onset-c:+      number: '-1.832290565826493345858610536092337273551936518513513693443121591977904821318763577237569326824504995'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.886045878187822011522491985166861831306189197736503862108247851787295523774191923400144994632359944'+      comment: period $7$.+    superstable-c:+      number: '-1.832315202751229192084897526042518143229339893506219597603881639013923985476096050081996383480503411'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.886097052252474703589062170547314269036143467080959326548151736528028632100737755207381864626880528'+      comment: period $7$.+    doubling-c:+      number: '-1.832389048755105924882418943918758669806857089849467378469676239731433128849883473268735723520898397'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5223150571797636676057540713298795817891139228335266307655807783463452712885502313376428095700000838'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 + x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRRRC:+    onset:+      number: '3.922185905463235174179160705168870316344728999094299495391706381213661188929578277575057402605557724'+      comment: period $7$.+    onset-c:+      number: '-1.884792616521996904646928385336366080822185910855904385302351886309935152770167914879902727195268095'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.922193403309700028472413580359373772802740342844941601446308625996417829894533595664919275066297848'+      comment: period $7$.+    superstable-c:+      number: '-1.884803571586681792329478092915839649635927126568451086477445146339028585107127064035334694409711173'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.922215881776105533615917879334243503629088834836199613785118545143504746592023019621926940928473553'+      comment: period $7$.+    doubling-c:+      number: '-1.884836414926125498232792240518496196070307341647882919967227080375538154765870077981761703059122389'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5623991486459236930241015281357565995840464514881329253514606686360769061242417826459754149509881096'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^3 - 2*x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRRLC:+    onset:+      number: '3.951027355414705409366713613009604520554202082306043298818935927181239165902425268297578122836472343'+      comment: period $7$.+    onset-c:+      number: '-1.927140613101477509946817693360616788661682652845526765387054396927325708491690436342219103996105579'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.951032164761306197891492318692053579500978056252822261505773604818792971458708401105986848757068516'+      comment: period $7$.+    superstable-c:+      number: '-1.927147709363950262460068188946594278007127957666936791637019227516202318233430701742416720301058406'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.951046597417378452087715599473224682648629170776503276640591936743237100601604618080761910729196353'+      comment: period $7$.+    doubling-c:+      number: '-1.927169005032171732640841525731421722737437803911240766211194608473214653369536384821047768600867005'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6010014635615238945922165119986414954352882766962744088188349494158573627662994406742439999919567061'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 + x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRLC:+    onset:+      number: '3.968974213355921489848012727002553905694225522756762058031468133763672907555006277463179724045687631'+      comment: period $7$.+    onset-c:+      number: '-1.953701969893103204887315564617102922246925862783939778732946421555976947509416171380520255452039417'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.968976856955537971495294805539108946037783703799351121542877785508392114874854378195569440319125445'+      comment: period $7$.+    superstable-c:+      number: '-1.953705894284396245427622199013653238901535456878068475145301474330533287552533662410171083425556907'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.968984782564841919744772307183367285778950551696867634862611772963580809917611820441102217769464538'+      comment: period $7$.+    doubling-c:+      number: '-1.953717659775400413058708750616463327489601380636663062688361755520433966886457605428694554456386377'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6183622093451163254328878318858700802410097601306338174398081638756018957724383667073654105154595007'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 - x^2 + x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRRC:+    onset:+      number: '3.984746617117961562539941995044746516855226230365388320399580625808205835600273687798270302880259136'+      comment: period $7$.+    onset-c:+      number: '-1.977178092099278859617041631102235126538406603940753906641173250247915562322733886927312594866196777'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.984747618815538907772276907561454679676957411498679554095395415385117352738851840883073537397452987'+      comment: period $7$.+    superstable-c:+      number: '-1.977179587006257387346088520662828616836483119614126188894964036958779814776736129422816867913153305'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.984750623369319488663335684641902270522050587697569427282012348360632989626388514305925150107921745'+      comment: period $7$.+    doubling-c:+      number: '-1.977184070925885319221065532173161600744944476011374154654110859657494742592858244654120427462584618'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6457107068710058949508749656015280172218090248209520030562287850906054488818234514874051685448907444'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLRC:+    onset:+      number: '3.994537466821304094471459652738996432157484347436955481659634402941910775933929920030709206742374548'+      comment: period $7$.+    onset-c:+      number: '-1.991813660049138230105629802816033248198703637985623481551004033231855948014811987199475026549790230'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.994537809111197190417220573536005876265512277401941519589583013418430887712192292375342353360909627'+      comment: period $7$.+    superstable-c:+      number: '-1.991814172549122215732560949862288112398840479094439836523016087980045018029971370721309604046086354'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.994538835800214273101423989020183665537761309219249903005457208334390054246504862911868583126934979'+      comment: period $7$.+    doubling-c:+      number: '-1.991815709778925664971840735179586886714583533218322676297960179157499022994670938220731244133427261'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6662159015140127416264159553911686576217155658796753187985835509073395889042876179832187252017783508'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLLC:+    onset:+      number: '3.999397024083989298851031655198098311928961334225407147109489112991623382006088004782805101637356311'+      comment: period $7$.+    onset-c:+      number: '-1.999095627020972770512579033545857080458572046257630738666249422504396024167972927284553213425134487'+      comment: period $7$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.999397060962098411191495707485953442874478379741847608438667159554951228082454648646320743388701683'+      comment: period $7$.+    superstable-c:+      number: '-1.999095682327018473210629999222294462129240158216774560026431683438161266678158911694297434848587857'+      comment: period $7$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.999397171578339685885389178679490160210002792117128770079994100321368536765179901195306601142436685'+      comment: period $7$.+    doubling-c:+      number: '-1.999095848218036019194451664450140806924040597328020379450530301297250672551525444536043315172533637'+      comment: period $7$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6849047263840670390265450045421892791553012853281446507991516039400347971679896430573147260920963341'+      comment: period $7$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^5 - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRRRRC:+    onset:+      number: '3.662108913209440482494985179401963324650410704107152165354024618133906761088718265064650386993431985'+      comment: period $8$.+    onset-c:+      number: '-1.521705966447287079857426590871368336465139889444578447293332988746392859707338851152741447169990168'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.662192503686576753408760104323259108936150156636422138356293900513767325702574707143942294185756894'+      comment: period $8$.+    superstable-c:+      number: '-1.521817231671250995197287331707767489051013082756997403689583385621888673294580368952335546937639231'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.662440707218951929165078336760059594086303533738695742749539226376857535483402474794235903432540537'+      comment: period $8$.+    doubling-c:+      number: '-1.522147629864138226804627530138195947912311543148869209558512538819977500764194424328823656868599160'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.3046889317180031157684016855841993477142696396564270738881446183112576025601597884198528536709792749'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^4 - x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLRRLRRC:+    onset:+      number: '3.800740116185650269544019660574655861309171054123192705182714339639571202916446745946604193102552789'+      comment: period $8$.+    onset-c:+      number: '-1.711036299602902442737690951277512930319039950384594600110155258433719086394963560881882838269175844'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.800770943874669769373681094541042531243472703358879522602247670292807561204709814947813850209126113'+      comment: period $8$.+    superstable-c:+      number: '-1.711079470013152149832420460633546039822793809005903801634378634018166805386594484770160438100675051'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.800863743732897904084706007163771486772100384137176509039574256518946369845106365626002988508651811'+      comment: period $8$.+    doubling-c:+      number: '-1.711209427739366095820057162592591641773652365550620286495157645838218896700024271390032733748352196'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4682578962892690238036677941634449344169555421683316556539680294062710052381178192465630827549336519'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRLRRC:+    onset:+      number: '3.870532112458717263207972364869970022767695740237793392956847349422364764798557724149372990811657125'+      comment: period $8$.+    onset-c:+      number: '-1.809988652164176453236225785775167876673228995304522747952629963681413768981446612845349671697059530'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.870540984363757223187552694640279443822824350492893990073711037436607789532630305195266521527276241'+      comment: period $8$.+    superstable-c:+      number: '-1.810001385728012072726032393667559396296122986892711420916360880856159395711565821698619522407255262'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.870567556387604950796347735272878721876250891292225812705573427397501939750073298042576013103312553'+      comment: period $8$.+    doubling-c:+      number: '-1.810039523946276382188045485554661020085427753272787965259104514292073564586411288754173646589688744'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.4997469349065763168991860640637229310389301065375144476786707038210553682691211962756263081149196064'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^5 - x^4 - 2*x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRLRLC:+    onset:+      number: '3.899462408673439157018516146563113876052217522856198864337870406379532456949432946795493024496163428'+      comment: period $8$.+    onset-c:+      number: '-1.851720564827595376038578538001835952834549716192905305197505615737715182028694607878339480789497874'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.899468950970602334169343447876952058563575863402143335153498044409864620831012622634717790874904141'+      comment: period $8$.+    superstable-c:+      number: '-1.851730049410641290596284907276327419107492715710647186733310413609309893471554769608371185572932297'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.899488629309009671280936948826224897212120914987800847214076147843720205710519899310334651748989133'+      comment: period $8$.+    doubling-c:+      number: '-1.851758577873059924338924018030085170565618385123812492346045088537181327718652331029802797532594083'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5397924974635598516522691635593408071246983296560781743694898196447683749373723518833851037497626782'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 + x^3 + x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRRRLC:+    onset:+      number: '3.912042017282251570438911869551972263270073203430034409588531263973526045008764119452992536679421316'+      comment: period $8$.+    onset-c:+      number: '-1.869997177604321288511089735201491105115020084787641987260505945231724668608092707299109609110054444'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.912046621075126511047630238514592355234828476629003000739736565922825911070253189226716469193009517'+      comment: period $8$.+    superstable-c:+      number: '-1.870003880828765361573296401227468790696423696464304693260405238171948285162690925062060734303712142'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.912060397754645243588899978404765138337402146939599270071460195423799135989730090654032567636106223'+      comment: period $8$.+    doubling-c:+      number: '-1.870023940042735666212199248871173443708967774213352833867571341028878363918626515391419157296956499'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5476118702402008170801971585567613545872935585570976556005129166067851921236434276200537897371193088'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - x^4 - 2*x^3 - x^2 - 2*x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRRRRC:+    onset:+      number: '3.930471319516693364871234452625797445704922732760487208392827514601283947617643474006912450624468022'+      comment: period $8$.+    onset-c:+      number: '-1.896915538627477483553120354097771481340591228295339892839592795570451894574611351260690601539509518'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.930472995732144840644021355896516382571134630536351525803027036728044993563183987910599569536004700'+      comment: period $8$.+    superstable-c:+      number: '-1.896917994678832848351950512749427493238309249098198186635171971591942057636612517950412005378837068'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.930478024327372919915052655578150994340366244402160516703063628417083535505703829374919645718297173'+      comment: period $8$.+    doubling-c:+      number: '-1.896925362766415717758680134160733121641086630106107852153493493275274186188855816790910645543666536'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5748640467968352377697804623968670130791744512058141617667781668766908560661850306087239767075093449'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 + x^3 - x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLRRLRC:+    onset:+      number: '3.944212196585010526408470603300072301166721867656622915230067447936626232702915413343117233559833465'+      comment: period $8$.+    onset-c:+      number: '-1.917096364629983167405658942973954328676192150859132009516566131459369016123311436304666594500521168'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.944213495732550988086109017328782885953259488294611311717779104444982533642044894925581646379964505'+      comment: period $8$.+    superstable-c:+      number: '-1.917098277113422008833510932966779371236124465024502517689818098870808062416851814418466663315510217'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.944217392716251503693647907641412771126567215884055599957619318355952086197007876146491813224455899'+      comment: period $8$.+    doubling-c:+      number: '-1.917104013893220483238749258936981520671647711256654437709208055049456961361194387040826542444524455'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.5917189080612842698607150526771911119954496801779894835375029446718954303023597837038053235183539009'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 + x^3 - x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRLLC:+    onset:+      number: '3.960768652406645256046371427380866877425475433389218910176759920822075912075442552844418007072453943'+      comment: period $8$; $r_{\mathrm{on}}$ is the first period-doubling point of+        $\mathtt{RLLC}$.+    onset-c:+      number: '-1.941537753268465539334645081335137302112963652443093023862503797514245782358240271484061333910837329'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.960933697547581466371142299135839172920423872079796785354269378905529636265236266311554757383705554'+      comment: period $8$.+    superstable-c:+      number: '-1.941782090318198160140455136524972704898489796458099671661877339955525967487513658235591165702514575'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.961098633486188820919718364687632275505865603796306323143193436067485131345044720979259133843380334'+      comment: period $8$.+    doubling-c:+      number: '-1.942026279308443698811724818607598194944924281338460122297575548543814697630899686939604501633135288'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6093778634360062315368033711683986954285392793128541477762892366225152051203195768397057073419585497'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$; the entropy equals that+        of $\mathtt{RLLC}$.+  RLLLRLRC:+    onset:+      number: '3.973723762395857200730761432266542698680782241795843848875526856269484767386769043799732822418687560'+      comment: period $8$.+    onset-c:+      number: '-1.960758253759443143125110248584684357683338793500136497251176178707866489242937422846941717351258127'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.973724255674980337822883993721114490289705942652436601074755616440307058453306645045033896568229278'+      comment: period $8$.+    superstable-c:+      number: '-1.960758987197428957479901627201746582819406657357862148103980091304574106073655390311192546255773545'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.973725735423457405349991897874708592020131884557529470404052406035387518706979747221108971021760316'+      comment: period $8$.+    doubling-c:+      number: '-1.960761187379945648277627837912193209561089051499896727039912535903910513898218292897772903136282491'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6264426221026037992162732472562463584534961060224227767783113374562672064844081482539000123805726028'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 - x^3 + x^2 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRRRC:+    onset:+      number: '3.981408635979901517560970944275589368801122590531734351329518712228731634231697148277751478021283931'+      comment: period $8$.+    onset-c:+      number: '-1.972199363673884229442993202153246443901891588911448865377835892255020002073736985685619600666981904'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.981408954415261495395529301975011729042537023837915853842593414895880128174937863980003054458899338'+      comment: period $8$.+    superstable-c:+      number: '-1.972199838366875699354940943628367727527556633676016311543483446546690420312525133230686983708021685'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.981409909660411356397596171913212427274860784188635792022388925331314983361194804609546008047882536'+      comment: period $8$.+    doubling-c:+      number: '-1.972201262355325551348997675275987706905933449974085928017966448025181916453064259872834062700147132'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6391899326598130388240901324599952072591553666547079343960562150398365829981817920230864003961974078'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 - x^3 + x^2 - x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLRRLC:+    onset:+      number: '3.987745285349480601383890365898478373959865927602208868204183274102352762106448594415709533212265539'+      comment: period $8$.+    onset-c:+      number: '-1.981655472532012315772375630520963193419526119028740699823884279598876356424843480546761437928679654'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.987745495370075483821404555582378116634167436580517047039344261876290664741215863536340880581136709'+      comment: period $8$.+    superstable-c:+      number: '-1.981655786276044436082912388688275325921609985743449955431559578577448510223465800497120254259583688'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.987746125417485357220439457873622419269484067589975022299741360683630535345330972837058944279911536'+      comment: period $8$.+    doubling-c:+      number: '-1.981656727486799035433377886402877546588539423788459236747426580472726730993950798152094252176823795'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6517666834215227498951343928630231144891116678343853491206890411188226128861784636299763312446363640'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - 2*x^5 + x^4 - 2*x^3 + x^2 - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLRLC:+    onset:+      number: '3.992519399682352431486060579339922667741372238348303445577453540930719908932816422094346108727458752'+      comment: period $8$.+    onset-c:+      number: '-1.988793089368806744454828551070683348459939994608405517498658240760089757329802350378329473707942136'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.992519523284331897786690976275686086412434705786432527589167749683230334642511617609484898816711553'+      comment: period $8$.+    superstable-c:+      number: '-1.988793274309471259839367775061205543127682526515804968022566929016540202791668452158141855395167388'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.992519894066919479235621934021452162065156946924187555864997484869989701847519006871318738862282464'+      comment: period $8$.+    doubling-c:+      number: '-1.988793829096571745455478829686267217671370544653881007784571223473312257526124406755894359412822792'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6607909182862917105365364859711215906388029984208201560206927691524562768056083265969998626742249573'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 - x^3 - x^2 + x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLRRC:+    onset:+      number: '3.996219537052268091847193629658916159697825578251249095882869718271619053948697898626002473598046856'+      comment: period $8$.+    onset-c:+      number: '-1.994332878553426931227818974259330289260069032919247854411117034960774413789517801301073694485491441'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.996219595901164854911278514157144852312316466929969285351214084200151303506481380630949621508892713'+      comment: period $8$.+    superstable-c:+      number: '-1.994332966715534904758276859241877571665259148564925261175230080782143422942012411283044531845570901'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.996219772440470560913133895443558067395628147970171943516429440995508101289814403034164215501498347'+      comment: period $8$.+    doubling-c:+      number: '-1.994333231190806297844434654763467395129400914575102166814895956757065266546038248023418317630536788'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6713170136526259346020626331280442194228450020360553557542713414020113778740442359499853255561395849'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^5 - x^4 - 2*x^3 + x - 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLLRC:+    onset:+      number: '3.998641615329287157332537506962064844319789177954475397981379422480568988528183406273015486875171084'+      comment: period $8$.+    onset-c:+      number: '-1.997962884296159142908307188958435761662256416622457071765906476301717095440937665999064719775999703'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.998641636206443602403492515258255085545110351024218029845030847683639128258331770147976601388927838'+      comment: period $8$.+    superstable-c:+      number: '-1.997962915597714314837125904277217321267833449912631374749804326487668403724165048355291034539083718'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.998641698835310571177688635533739721276620069612066301595808276764030087495753295664253851129699454'+      comment: period $8$.+    doubling-c:+      number: '-1.997963009498479355931242992466397315111328187593140075182455807105596514868851953435127671276967973'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6804766008728410576345498594714966317371684364472755687544788841692024862636447597868423347923600163'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^6 - 2*x^5 + x^4 - 2*x^3 + x^2 - 2*x + 1$; $h_{\mathrm{top}}=\log\lambda$.+  RLLLLLLC:+    onset:+      number: '3.999849359713914445493109243275757790484341865746318478140410284286476424899003930295164010405774898'+      comment: period $8$.+    onset-c:+      number: '-1.999774045243995616224090560049811946191435106673003993694510185353213771596632693270589720218756095'+      comment: period $8$; the same window's $r_{\mathrm{on}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    superstable:+      number: '3.999849362013851070480287025220670591134590055617076966641977634592248041783594222732223795006028090'+      comment: period $8$.+    superstable-c:+      number: '-1.999774048693727323471700996130915760674511960788419987606429651556462629287368141952989631187626142'+      comment: period $8$; the same window's $r_W$ in the $z\mapsto z^2+c$ normalisation+        CITE{formula-conversion}.+    doubling:+      number: '3.999849368913379841119021607224808634940836343632346531758017858221390370719446070324724380060600499'+      comment: period $8$.+    doubling-c:+      number: '-1.999774059042500825770984374146495497318926928283901010564309995633649261282137417184736886859922194'+      comment: period $8$; the same window's $r_{\mathrm{pd}}$ in the $z\mapsto z^2+c$+        normalisation CITE{formula-conversion}.+    entropy:+      number: '0.6891211854090296645856864820140183890319207822280265535590938317172931687130026903675465420860413724'+      comment: period $8$; if $\lambda$ is the Perron root then $\lambda$ satisfies+        $x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1$; $h_{\mathrm{top}}=\log\lambda$.
History of Periodic windows of the logistic map by kneading word

What changed between 2026-09-09 08:56 and 2026-09-09 09:14
