k_{1} = \frac{1}{10000000000000}
k_{2} = \frac{53}{250}
k_{3} = \frac{29}{10}
k_{4} = \frac{38}{25}
k_{5} = \frac{19}{100}
k_{6} = \frac{122}{25}
k_{7} = \frac{59}{50}
k_{8} = \frac{31}{25}
k_{9} = \frac{2909}{100}
k_{10} = \frac{806}{25}
k_{11} = \frac{679}{50}
k_{12} = \frac{4}{25}
k_{13} = 153