k_{1} = 10
k_{2} = 0
k_{3} = 0
k_{4} = \frac{51631}{125}
k_{5} = \frac{124443}{500}
k_{6} = \frac{28121}{20}
k_{7} = \frac{380189}{100000}
k_{8} = \frac{103753}{1000000000}
k_{9} = \frac{2857}{1250}
k_{10} = \frac{835603}{10000000}
k_{11} = \frac{111173}{10000}
k_{12} = \frac{21579}{2000}
k_{13} = \frac{907821}{10000}
k_{14} = \frac{265461}{10000}
k_{15} = \frac{42551}{1250}
k_{16} = \frac{237121}{50000}
k_{17} = \frac{535797}{10000}
k_{18} = \frac{66993}{20000}
k_{19} = \frac{166713}{50000}
k_{20} = \frac{463447}{1000000}
k_{21} = \frac{988553}{1000000}
k_{22} = \frac{17457}{500}
k_{23} = \frac{132721}{250000}
k_{24} = \frac{914113}{100000}
k_{25} = \frac{566239}{10000000}
k_{26} = \frac{160683}{500000}
k_{27} = \frac{206063}{10000}
k_{28} = \frac{144867}{500000000}
k_{29} = \frac{57939}{5000}
k_{30} = \frac{468781}{5000000}
k_{31} = \frac{354813}{1000000}
k_{32} = \frac{193629}{5000}
k_{33} = \frac{456037}{100000}
k_{34} = \frac{914113}{10000}
k_{35} = \frac{322827}{50000}
k_{36} = \frac{810961}{1000000000}
k_{37} = \frac{245437}{25000}
k_{38} = \frac{37921}{625000}
k_{39} = \frac{199081}{20000}
k_{40} = \frac{122453}{5000}
k_{41} = \frac{11749}{10000}
k_{42} = \frac{105689}{200}
k_{43} = \frac{52723}{1000}
k_{44} = \frac{26609}{2000}
k_{45} = \frac{356451}{10000}
k_{46} = \frac{12161}{500}
k_{47} = \frac{49649}{12500000}
k_{48} = \frac{52723}{1000}
k_{49} = \frac{17457}{500000}
k_{50} = \frac{92903}{2000}
k_{51} = \frac{56101}{500}
k_{52} = \frac{190959}{25000}
k_{53} = \frac{483059}{10000000}
k_{54} = 7030720000
k_{55} = 843335000
k_{56} = \frac{283139}{100000}
k_{57} = 4395420000
k_{58} = \frac{6267}{40000}
k_{59} = \frac{305471}{50000000}
k_{60} = \frac{165577}{100000}
k_{61} = \frac{8431}{625}
k_{62} = \frac{2547}{20}
k_{63} = \frac{11749}{1000}
k_{64} = \frac{232777}{25}
k_{65} = \frac{891251}{10000000}
k_{66} = \frac{18073}{2000000}
k_{67} = \frac{398107}{1000}
k_{68} = \frac{36053}{250}
k_{69} = \frac{34997}{200}
k_{70} = \frac{296483}{1000}
k_{71} = \frac{6669}{40}
k_{72} = 1
k_{73} = 1
k_{74} = 0
k_{75} = 0
k_{76} = 0
k_{77} = 0
k_{78} = 128
k_{79} = \frac{818}{5}
k_{80} = \frac{167}{10}
k_{81} = \frac{729}{50}
k_{82} = \frac{117843}{12800000}
k_{83} = \frac{669043}{163600000}
k_{84} = \frac{116791}{417500}
k_{85} = \frac{154987}{243000}
k_{86} = \frac{729}{50}
k_{87} = \frac{167}{10}
k_{88} = \frac{818}{5}
k_{89} = 128
k_{90} = 1