The knot for m = -1 from the man and machine paper 
(with one of its orientation):
PD[X[48, 2, 49, 1], X[77, 2, 78, 3], X[18, 4, 19, 3], X[63, 4, 64, 5], 
 X[5, 17, 6, 16], X[6, 25, 7, 26], X[7, 34, 8, 35], X[27, 8, 28, 9], 
 X[68, 10, 69, 9], X[43, 10, 44, 11], X[56, 11, 57, 12], X[12, 55, 13, 56], 
 X[13, 42, 14, 43], X[14, 70, 15, 69], X[36, 15, 37, 16], X[64, 18, 65, 17], 
 X[19, 63, 20, 62], X[75, 21, 76, 20], X[50, 21, 51, 22], X[59, 23, 60, 22], 
 X[46, 24, 47, 23], X[65, 24, 66, 25], X[35, 27, 36, 26], X[28, 67, 29, 68], 
 X[29, 45, 30, 44], X[30, 58, 31, 57], X[58, 32, 59, 31], X[45, 33, 46, 32], 
 X[66, 33, 67, 34], X[37, 74, 38, 75], X[38, 52, 39, 51], X[52, 40, 53, 39], 
 X[73, 40, 74, 41], X[41, 70, 42, 71], X[47, 78, 48, 1], X[49, 61, 50, 60], 
 X[72, 53, 73, 54], X[54, 71, 55, 72], X[76, 61, 77, 62]]