k_{1} = \frac{539}{1250}
k_{2} = \frac{299}{100000000}
k_{3} = \frac{4657}{5000}
k_{4} = \frac{2213}{5000}
k_{5} = \frac{2}{5}
k_{6} = \frac{11891}{10000}
k_{7} = 1