k_{1} = 1
k_{2} = \frac{1}{5}
k_{3} = \frac{1}{10}
k_{4} = \frac{1}{10}
k_{5} = \frac{1}{10}
k_{6} = \frac{1}{10}
k_{7} = \frac{1}{10}
k_{8} = \frac{1}{10}
k_{9} = \frac{1}{10}
k_{10} = \frac{1}{20}
k_{11} = \frac{128519789138443}{50000000000000}
k_{12} = \frac{31}{25}
k_{13} = \frac{1}{10}
k_{14} = 1