k_{1} = 1
k_{2} = \frac{627}{10000}
k_{3} = \frac{5111}{5000}
k_{4} = \frac{37037}{2500}
k_{5} = \frac{22047}{10000}
k_{6} = \frac{423}{5000}
k_{7} = \frac{163647}{10000}
k_{8} = \frac{221}{10000}
k_{9} = \frac{27893}{10000}
k_{10} = \frac{193743}{10000}
k_{11} = \frac{386891}{500}
k_{12} = \frac{479}{10000}
k_{13} = 0
k_{14} = \frac{367}{5000}
k_{15} = \frac{74237}{10000}
k_{16} = \frac{2023}{2500}
k_{17} = \frac{53}{10000}
k_{18} = \frac{2641}{2000}
k_{19} = \frac{4967}{1000}
k_{20} = 1
k_{21} = 1