A 1variable unoriented knot polynomial . It satisfies
(1)

and the skein relationship
(2)

It also satisfies
(3)

where is the knot sum and
(4)

where is the mirror image of . The BLM/Ho polynomials of mutant knots are also identical. Brandt et al. (1986) give a number of interesting properties. For any link with components, is divisible by . If has components, then the lowest power of in is , and
(5)

where is the HOMFLY polynomial. Also, the degree of is less than the link crossing number of . If is a 2bridge knot, then
(6)

where (Kanenobu and Sumi 1993).
The polynomial was subsequently extended to the 2variable Kauffman polynomial F, which satisfies
(7)

Brandt et al. (1986) give a listing of polynomials for knots up to 8 crossings and links up to 6 crossings.