k_{1} = 0
k_{2} = \frac{8799}{10000}
k_{3} = \frac{3199}{10000}
k_{4} = \frac{1483}{100}
k_{5} = 0
k_{6} = \frac{4167}{100000}
k_{7} = \frac{21}{1250}
k_{8} = \frac{71}{100}
k_{9} = \frac{7151}{100000}
k_{10} = \frac{143}{5000}
k_{11} = \frac{13369}{100000}
k_{12} = 913554
k_{13} = 0
k_{14} = 1