k[1] = 361602627459517/100000000000000 k[2] = 152264278250403/100000000000000 k[3] = 54620785996429/100000000000000 k[4] = 176731907237/125000000000 k[5] = 1156996315233/20000000000000 k[6] = 11858328594357/5000000000000 k[7] = 61147678228061/25000000000000 k[8] = 972544685826559/10000000000000000 k[9] = 150650172583633/1000000000000000 k[10] = 64470276664977/50000000000000 k[11] = 40097870751449/20000000000000 k[12] = 57322624756517/2000000000000 k[13] = 31794795429367/25000000000000 k[14] = 458901437554149/5000000000000 k[15] = 160033122150611/10000000000000000 k[16] = 522749670547203/100000000000 k[17] = 48804037501331/2500000000000000 k[18] = 7265796009049/40000000000000 k[19] = 349720846528477/10000000000000 k[20] = 40681289836487/2000000000000 k[21] = 655543523218919/100000000000000 k[22] = 8370041054987/312500000000000 k[23] = 291552070998833/50000000000000 k[24] = 83191369333877/500000000000000 k[25] = 198306450999093/1000000000000000 k[26] = 274357223013613/50000000000000 k[27] = 162943604164789/1000000000000000 k[28] = 435621076587497/100000000000000000 k[29] = 168308889432487/1000000000000000 k[30] = 1/10 k[31] = 1