k_{1} = 1
k_{2} = \frac{41}{100}
k_{3} = \frac{5}{4}
k_{4} = \frac{57}{200}
k_{5} = \frac{11}{10}
k_{6} = \frac{17}{200}
k_{7} = \frac{3}{1000}
k_{8} = \frac{13}{25}
k_{9} = \frac{31}{2000}
k_{10} = \frac{3}{25}
k_{11} = \frac{19}{10}
k_{12} = \frac{41}{100}
k_{13} = 1