k_{1} = \frac{31217}{1250}
k_{2} = \frac{359797}{100000}
k_{3} = \frac{1417}{5000}
k_{4} = \frac{46227}{100000}
k_{5} = \frac{2917}{100000}
k_{6} = \frac{4139}{20000}
k_{7} = \frac{37857}{12500}
k_{8} = \frac{209}{100000}
k_{9} = \frac{53369}{25000}
k_{10} = \frac{8039}{100000}
k_{11} = \frac{45859}{100000}
k_{12} = \frac{408}{3125}
k_{13} = \frac{296739}{100000}
k_{14} = \frac{11167}{100000}
k_{15} = \frac{8110381}{100000}
k_{16} = \frac{581479}{6250}
k_{17} = 0
k_{18} = \frac{143549}{100000}
k_{19} = \frac{21251}{100000}
k_{20} = \frac{50309}{100000}
k_{21} = \frac{336641}{100000}
k_{22} = \frac{8217}{20000}
k_{23} = \frac{2323}{25000}
k_{24} = \frac{14979}{100000}
k_{25} = \frac{34603}{100000}
k_{26} = \frac{7}{25000}
k_{27} = \frac{135787}{50000}
k_{28} = \frac{708001}{20000}
k_{29} = \frac{102419}{100000}
k_{30} = \frac{134979}{100000}
k_{31} = \frac{109117}{50000}
k_{32} = \frac{17289}{50000}
k_{33} = \frac{18191}{100000}
k_{34} = \frac{2397}{25000}
k_{35} = \frac{40119}{100000}
k_{36} = 0
k_{37} = 12
k_{38} = 24
k_{39} = 1
k_{40} = 1