k[1] = 124273166818913/1000000000000000
k[2] = 79247015712387/200000000000000
k[3] = 66596232871937/1250000000000000
k[4] = 245799337407079/50000000000000000
k[5] = 84137419190423/50000000000
k[6] = 130499987407289/10000000000000000
k[7] = 244941462271949/25000000000000
k[8] = 53607368295263/5000000000000000
k[9] = 335544587646129/100000000000000000
k[10] = 80026943897353/12500000000000000
k[11] = 32860427230009/2500000000000
k[12] = 172952659484527/25000000000000
k[13] = 106651971237991/10000000000000000
k[14] = 438915524637669/100000000000000000
k[15] = 45933633079077/2500000000000000
k[16] = 586488509743/1562500000000
k[17] = 56755794180211/5000000000000000
k[18] = 92021387991969/50000000000000000
k[19] = 7281699689517/3125000000000
k[20] = 160512543108081/100000000000000
k[21] = 187621138099883/1000000000000000
k[22] = 137729484208433/1000000000000000
k[23] = 18279428328369/500000000000000
k[24] = 88780900440859/5000000000000000
k[25] = 10
k[26] = 1/100
k[27] = 1
k[28] = 1
k[29] = 1
k[30] = 1
k[31] = 1
k[32] = 1
k[33] = 1
k[34] = 1
k[35] = 1
k[36] = 1
k[37] = 1
k[38] = 1
k[39] = 165607/10000
k[40] = 37869/2000
k[41] = 25633/1250
k[42] = 214109/10000
k[43] = 122517/10000
k[44] = 1257/50
k[45] = 187959/10000
k[46] = 14301/1000
k[47] = 135613/10000
k[48] = 351/20
k[49] = 5967/400
k[50] = 37869/2000