k_{1} = \frac{2411}{5000}
k_{2} = \frac{69943}{1000000}
k_{3} = \frac{68623}{25000}
k_{4} = \frac{18061}{20000}
k_{5} = \frac{3307}{10000}
k_{6} = \frac{97}{5000}
k_{7} = \frac{3823}{125000}
k_{8} = \frac{249}{2000}
k_{9} = \frac{28743}{10000}
k_{10} = \frac{37}{5000}
k_{11} = \frac{847}{50000}
k_{12} = \frac{189459}{500000}
k_{13} = 1