k_{1} = 0
k_{2} = 1
k_{3} = \frac{144}{5}
k_{4} = 1500
k_{5} = \frac{9}{10}
k_{6} = 4
k_{7} = 1500
k_{8} = \frac{9}{10}
k_{9} = 3
k_{10} = \frac{3859}{10}
k_{11} = \frac{7}{4}
k_{12} = \frac{1}{10}
k_{13} = 1