k[1] = 1
k[2] = 4
k[3] = 7/100
k[4] = 1
k[5] = 5069887/10000000
k[6] = 86247599651833/5000000000000000000
k[7] = 119832570293179/50000000000000
k[8] = 99505694359/100000000000
k[9] = 235932924820229/1000000000000000000000
k[10] = 4997521035943/3125000000000000000
k[11] = 11/1000000
k[12] = 730664908667/312500000000000000
k[13] = 312955823801491/5000000000000
k[14] = 21/2
k[15] = 11/20
k[16] = 156773074073537/250000000000000000000000
k[17] = 594896546415159/1000000000000
k[18] = 20540500756303/200000000000000
k[19] = 529827880572231/10000000000000000000
k[20] = 120935308788409/1000000000000000
k[21] = 85595364444129/500000000000000
k[22] = 129717307334483/1000000000000000
k[23] = 1/20000000000
k[24] = 11/2
k[25] = 1459/1000
k[26] = 127393226093773/100000000000000
k[27] = 10200730106717/5000000000000000
k[28] = 62613606792861/25000000000000
k[29] = 42769954686357/250000000000000000
k[30] = 13/200
k[31] = 3/500
k[32] = 53349155404847/5000000000000000
k[33] = 116013457036959/100000000000000000000
k[34] = 9/200000
k[35] = 2
k[36] = 23077146301343/250000000000000
k[37] = 20
k[38] = 9/20000000000
k[39] = 78143691275811/500000000000000
k[40] = 4000
k[41] = 1/5000
k[42] = 559297141527983/1000000000000
k[43] = 33593416596199/1250000000000
k[44] = 73/20
k[45] = 19/20000
k[46] = 225580469507059/100000000000
k[47] = 26881/625000
k[48] = 482784060987783/5000000000000000000
k[49] = 129683151360301/2000000000000000
k[50] = 33695660556983/625000000000
k[51] = 9329/400000000
k[52] = 239/50000
k[53] = 9/50
k[54] = 933277452272273/10000000000000000
k[55] = 5/2
k[56] = 500000
k[57] = 171428571428571/100000000
k[58] = 357142857142857/500000000
k[59] = 12000000
k[60] = 1052500