w = [0.0030735837185205317, 0.008600269855642943,
               0.014626169256971253, 0.020388373461266523, 0.02588213360495116,
               0.0312873067770328, 0.036600169758200796, 0.041668873327973685,
               0.04643482186749767, 0.05094457392372869, 0.05519510534828599,
               0.05911140088063957, 0.06265323755478117, 0.06583459713361842,