k_{1} = 1
k_{2} = \frac{111793}{500}
k_{3} = \frac{697199989056023}{10000000000000}
k_{4} = \frac{491925438819563}{10000000000000}
k_{5} = \frac{150215432657537}{50000000000000}
k_{6} = \frac{248774260500559}{1000000000000000}
k_{7} = \frac{5343118034017}{4000000000}
k_{8} = \frac{984718694215043}{10000000000000000}
k_{9} = \frac{146094950526263}{2000000000000000}
k_{10} = \frac{173752883412217}{500000000000}
k_{11} = 1
k_{12} = \frac{9002187652053}{62500000000000}
k_{13} = \frac{304372961307751}{10000000000000000}
k_{14} = \frac{398630224594983}{100000000000000}
k_{15} = \frac{2594777032239}{2500000000000}
k_{16} = \frac{12504722108289}{12500000000000}
k_{17} = \frac{136053256817049}{50000000000000}
k_{18} = \frac{113287434679021}{100000000000000}
k_{19} = \frac{56337186829679}{125000000000000}
k_{20} = \frac{80645237284561}{50000000000000}
k_{21} = \frac{435249427068347}{50000000000000}
k_{22} = \frac{81960761465481}{5000000000000000}
k_{23} = \frac{44857919268227}{10000000000000}
k_{24} = \frac{216282986207003}{250000000000000000}
k_{25} = \frac{32626727571413}{12500000000000}
k_{26} = \frac{707018316477647}{10000000000000000}
k_{27} = \frac{123149764012103}{1000000000000000}
k_{28} = \frac{103940411358367}{100000000000000000}
k_{29} = \frac{397836393488341}{1000000000000000}
k_{30} = \frac{79207777512493}{200000000000000}
k_{31} = \frac{29510868497}{10000000000}
k_{32} = 2000000
k_{33} = \frac{87695023971519}{1250000000000000}
k_{34} = \frac{4019336667671}{2500000000000}
k_{35} = \frac{36661530982123}{625000000000000}
k_{36} = \frac{1250492172809}{1250000000000000}
k_{37} = \frac{514084012175461}{1000000000000000000}
k_{38} = \frac{480202699360057}{100000000000000000}
k_{39} = \frac{20480365946897}{20000000000000000}
k_{40} = \frac{498548548076033}{100000000000000}
k_{41} = \frac{495559496701657}{100000000000000}
k_{42} = \frac{441227519053011}{500000000000000}
k_{43} = \frac{481424700307387}{100000000000000}
k_{44} = \frac{360091117317657}{500000000000000}
k_{45} = \frac{523181439900629}{100000000000000000}
k_{46} = \frac{495079032741951}{5000000000000000}
k_{47} = \frac{18094811}{50000000000}
k_{48} = \frac{47950992493821}{2000000000000000}
k_{49} = \frac{497548521001118000}{3004822737162915461}
k_{50} = 2
k_{51} = 1