k_{1} = \frac{1}{40}
k_{2} = 1
k_{3} = \frac{1}{100}
k_{4} = \frac{17857}{1000}
k_{5} = \frac{1}{10}
k_{6} = 25
k_{7} = 2
k_{8} = \frac{125}{2}
k_{9} = 1