k_{1} = 1
k_{2} = \frac{19957}{156250000}
k_{3} = \frac{1673329}{2500000}
k_{4} = \frac{1}{100000}
k_{5} = \frac{5946569}{10000000000}
k_{6} = \frac{9999999}{10000000}
k_{7} = \frac{8875063}{10000000}
k_{8} = \frac{4022189}{5000000000}
k_{9} = \frac{2249759}{1000000000}
k_{10} = \frac{602629}{5000000}
k_{11} = \frac{2891451}{100000000}
k_{12} = \frac{751457}{5000000}
k_{13} = \frac{7204261}{10000000000}
k_{14} = \frac{28033}{78125}
k_{15} = \frac{1842081}{500000}
k_{16} = \frac{278739}{12500000}
k_{17} = \frac{32091}{5000000}
k_{18} = 1
k_{19} = \frac{5083923}{1000000}