History of Roots of the cuckoo hashing threshold equation

 Display properties:   number-header: $\xi_{k,\ell}$-Numbers: []+Numbers:+- params:+    k: '2'+    ell: '1'+  number: '0'+  comment: This is the removable limiting root; the associated threshold is HREF{T274#2,1}[$c^*_{2,1}=1/2$].+- params:+    k: '2'+    ell: '2'+  number: '2.687999345499491341463796937790041489618073899549236397935209599334514422260144214209251869745312739'+  comment: The associated cuckoo hashing threshold is HREF{T274#2,2}[$c^*_{2,2}$].+- params:+    k: '2'+    ell: '3'+  number: '5.071469708158110598648643546349746111224536523134635041837351018367446479545269819843879943093996070'+  comment: The associated cuckoo hashing threshold is HREF{T274#2,3}[$c^*_{2,3}$].+- params:+    k: '2'+    ell: '4'+  number: '7.321703358983259836814496629523591100449318121409982457321275056792696725897271000383910518926918359'+  comment: The associated cuckoo hashing threshold is HREF{T274#2,4}[$c^*_{2,4}$].+- params:+    k: '2'+    ell: '5'+  number: '9.496116339631318678686127155202154774263071948634199710067456727225709958713336937514852230633003440'+  comment: The associated cuckoo hashing threshold is HREF{T274#2,5}[$c^*_{2,5}$].+- params:+    k: '2'+    ell: '6'+  number: '11.62201083475983117017772549639697906479047433129974127980306614609092022913414759542897782318128499'+  comment: The associated cuckoo hashing threshold is HREF{T274#2,6}[$c^*_{2,6}$].+- params:+    k: '3'+    ell: '1'+  number: '2.149125799907062542079080149425149925528828496714285459034660801183768221524370129087681616217046728'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,1}[$c^*_{3,1}$].+    This is also HREF{T287#3}[$\xi_{3}$].+- params:+    k: '3'+    ell: '2'+  number: '5.656576349425156386746617941568588192659141691293506742008009681442341139286464459237741396129083249'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,2}[$c^*_{3,2}$].+- params:+    k: '3'+    ell: '3'+  number: '8.849851652473190362812087757716704933249004939448022043446615039577597636956590060258950889502471470'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,3}[$c^*_{3,3}$].+- params:+    k: '3'+    ell: '4'+  number: '11.93324063021001784506567092268224882890651379335616698876346069366242440532751486950076095207023045'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,4}[$c^*_{3,4}$].+- params:+    k: '3'+    ell: '5'+  number: '14.97035798828812027443562587311940396807103878054315654978741750621682886826142355899362774443783528'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,5}[$c^*_{3,5}$].+- params:+    k: '3'+    ell: '6'+  number: '17.98693229671281992725192590653386429471971042695500411009746368493209696294996668806395227602097357'+  comment: The associated cuckoo hashing threshold is HREF{T274#3,6}[$c^*_{3,6}$].+- params:+    k: '4'+    ell: '1'+  number: '3.593511969447426082272169884555315798860946340951301392760865045230967927293167350976509334752600022'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,1}[$c^*_{4,1}$].+    This is also HREF{T287#4}[$\xi_{4}$].+- params:+    k: '4'+    ell: '2'+  number: '7.907674019123758850790566789844419922995108412022415004802350765389662552216371593154538151656605121'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,2}[$c^*_{4,2}$].+- params:+    k: '4'+    ell: '3'+  number: '11.97840754548836518417183962921129418652192059426167092339410984246940990181779382295840160771130815'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,3}[$c^*_{4,3}$].+- params:+    k: '4'+    ell: '4'+  number: '15.99506456917725118329956899417052588708356806076354172978753823547047795118689779120004162634038769'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,4}[$c^*_{4,4}$].+- params:+    k: '4'+    ell: '5'+  number: '19.99889979196351691674775775685275577102351928181638457324870251227217088836762137643885395177578993'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,5}[$c^*_{4,5}$].+- params:+    k: '4'+    ell: '6'+  number: '23.99975947604794575691841460248553012829750258139642040533729634692718122214453372206287303646511694'+  comment: The associated cuckoo hashing threshold is HREF{T274#4,6}[$c^*_{4,6}$].+- params:+    k: '5'+    ell: '1'+  number: '4.801007549722517843402554184936876206309580045670987737307642940448096932959992199826971793616174495'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,1}[$c^*_{5,1}$].+    This is also HREF{T287#5}[$\xi_{5}$].+- params:+    k: '5'+    ell: '2'+  number: '9.976864303760496064518075863793575319292786047595390211066663963569991540942269856056674145453186667'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,2}[$c^*_{5,2}$].+- params:+    k: '5'+    ell: '3'+  number: '14.99741350114707424427436529215687505875158666319175852037547329980901221594064290374107937980231339'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,3}[$c^*_{5,3}$].+- params:+    k: '5'+    ell: '4'+  number: '19.99972511819509434997149501618076756231262856417056906108861824236177909822971068355118859476119916'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,4}[$c^*_{5,4}$].+- params:+    k: '5'+    ell: '5'+  number: '24.99997174425962980488681204119343855489405198561699586682058895464280942938737404120353105180800265'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,5}[$c^*_{5,5}$].+- params:+    k: '5'+    ell: '6'+  number: '29.99999715761549573994778634148325126494830338224240111896361395105934488672352627555997411293020102'+  comment: The associated cuckoo hashing threshold is HREF{T274#5,6}[$c^*_{5,6}$].+- params:+    k: '6'+    ell: '1'+  number: '5.903000058948943810458175385422799724242893481515842146827627134583507853576375177519654679441566068'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,1}[$c^*_{6,1}$].+    This is also HREF{T287#6}[$\xi_{6}$].+- params:+    k: '6'+    ell: '2'+  number: '11.99466733019710920890189533055350295714134739551676260854413064936109585534197475883076176045683468'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,2}[$c^*_{6,2}$].+- params:+    k: '6'+    ell: '3'+  number: '17.99973347635061616803411249948014909629259883939838752321236504416573051808206817338186269012884600'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,3}[$c^*_{6,3}$].+- params:+    k: '6'+    ell: '4'+  number: '23.99998747487764539641451256705490343509005188952388808136197333588086708276694929140893017510583906'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,4}[$c^*_{6,4}$].+- params:+    k: '6'+    ell: '5'+  number: '29.99999943152413327868681837784491101013451684606105198098041990967162124172322669914399673273473956'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,5}[$c^*_{6,5}$].+- params:+    k: '6'+    ell: '6'+  number: '35.99999997475451784136341288345456857119692422196366712451810528566280859222197757374080216380199990'+  comment: The associated cuckoo hashing threshold is HREF{T274#6,6}[$c^*_{6,6}$].+- params:+    k: '7'+    ell: '1'+  number: '6.953455713353474571757750459668776777157703675694193843415968941936946472738479953900380174362202268'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,1}[$c^*_{7,1}$].+    This is also HREF{T287#7}[$\xi_{7}$].+- params:+    k: '7'+    ell: '2'+  number: '13.99885801107353040821026786739382027366723850806829945798703162739514390358101431148202137692247181'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,2}[$c^*_{7,2}$].+- params:+    k: '7'+    ell: '3'+  number: '20.99997542174545116865984920724717820919492653448481645717520596822045513748851642102679476382231719'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,3}[$c^*_{7,3}$].+- params:+    k: '7'+    ell: '4'+  number: '27.99999950416907812559837246489148384069148256876607111079228415555129553225681370701807267652350603'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,4}[$c^*_{7,4}$].+- params:+    k: '7'+    ell: '5'+  number: '34.99999999034126708478328429759287181356009191496219282981587565655646617784379490803056882062904127'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,5}[$c^*_{7,5}$].+- params:+    k: '7'+    ell: '6'+  number: '41.99999999981590402367849092443096959604956068083312186280042756840973653364740468966946712440564761'+  comment: The associated cuckoo hashing threshold is HREF{T274#7,6}[$c^*_{7,6}$].