k_{1} = 1
k_{2} = \frac{57}{10000}
k_{3} = \frac{39}{2500}
k_{4} = \frac{31}{2000}
k_{5} = \frac{397}{5000}
k_{6} = \frac{907}{10000}
k_{7} = \frac{137}{5000}
k_{8} = \frac{17}{80}
k_{9} = 0
k_{10} = \frac{3817}{2000}
k_{11} = \frac{707}{10000}
k_{12} = \frac{1131}{10000}
k_{13} = \frac{1}{1250}
k_{14} = \frac{11}{5000}
k_{15} = \frac{17}{5000}
k_{16} = \frac{159}{10000}
k_{17} = \frac{67}{5000}
k_{18} = 9