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Display properties: number-header: $\alpha_k$+Numbers:+- params:+ k: '3'+ number: '0.9179352766580860135154412282330241295566462813786741119388567679432894341028061252100137350717952174'+ comment: The root is $\xi_{3}=2.14912579991$; Dietzfelbinger, Goerdt, Mitzenmacher,+ Montanari, Pagh and Rink tabulate this threshold as $0.9179352767$ to ten decimal+ places CITE{DGMMPR}.+- params:+ k: '4'+ number: '0.9767701648780461315596453315801681767089324117092366344477820171954417168938976107089484319269740715'+ comment: The root is $\xi_{4}=3.59351196945$; Dietzfelbinger, Goerdt, Mitzenmacher,+ Montanari, Pagh and Rink tabulate this threshold as $0.9767701649$ to ten decimal+ places CITE{DGMMPR}.+- params:+ k: '5'+ number: '0.9924383912621006266589799793323504474696379410861973127564646960469684573473547755463108213196347197'+ comment: The root is $\xi_{5}=4.80100754972$; Dietzfelbinger, Goerdt, Mitzenmacher,+ Montanari, Pagh and Rink tabulate this threshold as $0.9924383913$ to ten decimal+ places CITE{DGMMPR}.+- params:+ k: '6'+ number: '0.9973795527786723480335298422727171806947578778455543989561183255629649006299375198226788332339351435'+ comment: The root is $\xi_{6}=5.90300005895$; Dietzfelbinger, Goerdt, Mitzenmacher,+ Montanari, Pagh and Rink tabulate this threshold as $0.9973795528$ to ten decimal+ places CITE{DGMMPR}.+- params:+ k: '7'+ number: '0.9990637587536802554886204642246230679289335411670661479087836641414840208770255075157509128677423698'+ comment: The root is $\xi_{7}=6.95345571335$; Dietzfelbinger, Goerdt, Mitzenmacher,+ Montanari, Pagh and Rink tabulate this threshold as $0.9990637588$ to ten decimal+ places CITE{DGMMPR}.+- params:+ k: '8'+ number: '0.9996603987428638243814171691235945492361531052227223433740666229649241363721042964687963886298818589'+ comment: The root is $\xi_{8}=7.97810773698$.+- params:+ k: '9'+ number: '0.9998758980601650313509133871165240775778498642763184195380306052968600407828001914487458328743244041'+ comment: The root is $\xi_{9}=8.98991251927$.+- params:+ k: '10'+ number: '0.9999544861999791689002330696779352200131085165458282053982667948233340350833028799898216722898518400'+ comment: The root is $\xi_{10}=9.99544113381$.+- params:+ k: '11'+ number: '0.9999832798521640659649313526046903579198515250526178277676080828819870320558190962324726668561837885'+ comment: The root is $\xi_{11}=10.9979753372$.+- params:+ k: '12'+ number: '0.9999938528404832018983826756900406615708068784861080583270032085169228297637417460919200515828429412'+ comment: The root is $\xi_{12}=11.9991145095$.
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