k_{1} = 0 k_{2} = 100 k_{3} = \frac{1309}{2500000000000000} k_{4} = \frac{14399}{125000000000000000} k_{5} = \frac{51051}{5000000000000000} k_{6} = \frac{282741}{5000000000000000000000} k_{7} = \frac{1309}{62500000000000} k_{8} = \frac{14399}{5000000000000000} k_{9} = \frac{43773}{200000000000000} k_{10} = \frac{314159}{500000000000000000} k_{11} = \frac{121737}{5000000000000000} k_{12} = \frac{33301}{10000000000000000} k_{13} = \frac{314159}{500000000000000000} k_{14} = 2 k_{15} = 1 k_{16} = \frac{62496021135727}{6250000000000}