A random 41 crossing knot: 
PD[(35, 4, 36, 5),
 (5, 57, 6, 56),
 (57, 62, 58, 63),
 (15, 58, 16, 59),
 (16, 2, 17, 1),
 (53, 7, 54, 6),
 (63, 67, 64, 66),
 (60, 17, 61, 18),
 (49, 40, 50, 41),
 (78, 67, 79, 68),
 (70, 80, 71, 79),
 (54, 33, 55, 34),
 (34, 55, 35, 56),
 (21, 49, 22, 48),
 (37, 31, 38, 30),
 (38, 11, 39, 12),
 (45, 42, 46, 43),
 (43, 24, 44, 25),
 (25, 44, 26, 45),
 (2, 62, 3, 61),
 (10, 51, 11, 52),
 (3, 36, 4, 37),
 (19, 76, 20, 77),
 (26, 24, 27, 23),
 (81, 15, 0, 14),
 (27, 50, 28, 51),
 (41, 46, 42, 47),
 (7, 32, 8, 33),
 (28, 40, 29, 39),
 (29, 13, 30, 12),
 (64, 73, 65, 74),
 (75, 20, 76, 21),
 (47, 23, 48, 22),
 (77, 73, 78, 72),
 (52, 9, 53, 10),
 (80, 70, 81, 69),
 (68, 71, 69, 72),
 (31, 8, 32, 9),
 (13, 19, 14, 18),
 (74, 65, 75, 66),
 (59, 1, 60, 0)]