K13n4424

Dowker-Thistlethwaite code

6 -10 18 16 -22 -4 -20 26 2 -24 -8 -12 14

Jones polynomial	Data:K13n4424/Jones Polynomial
Alexander polynomial	$t^{4}-4t^{3}+10t^{2}-18t+23-18t^{-1}+10t^{-2}-4t^{-3}+t^{-4}$
Conway polynomial	Data:K13n4424/Conway Polynomial
Determinant	89
Signature	0
HOMFLY-PT polynomial	$a^{2}z^{8}-a^{4}z^{6}+5a^{2}z^{6}-3a^{4}z^{4}+8a^{2}z^{4}-z^{4}a^{-2}+2z^{4}-3a^{4}z^{2}+4a^{2}z^{2}-3z^{2}a^{-2}+4z^{2}-a^{4}+a^{2}-a^{-2}+2$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+4a^{4}z^{10}+5a^{2}z^{10}+z^{10}+6a^{5}z^{9}+5a^{3}z^{9}-az^{9}+4a^{6}z^{8}-7a^{4}z^{8}-17a^{2}z^{8}+z^{8}a^{-2}-5z^{8}+a^{7}z^{7}-18a^{5}z^{7}-25a^{3}z^{7}-10az^{7}-3z^{7}a^{-1}+z^{7}a^{-3}-13a^{6}z^{6}-11a^{4}z^{6}+16a^{2}z^{6}-9z^{6}a^{-2}+5z^{6}-3a^{7}z^{5}+8a^{5}z^{5}+22a^{3}z^{5}+26az^{5}+9z^{5}a^{-1}-6z^{5}a^{-3}+11a^{6}z^{4}+11a^{4}z^{4}-6a^{2}z^{4}+17z^{4}a^{-2}+11z^{4}+3a^{7}z^{3}+2a^{5}z^{3}-9a^{3}z^{3}-18az^{3}-3z^{3}a^{-1}+7z^{3}a^{-3}-3a^{6}z^{2}+a^{4}z^{2}+2a^{2}z^{2}-8z^{2}a^{-2}-10z^{2}-a^{7}z+3a^{3}z+3az-za^{-3}-a^{4}-a^{2}+a^{-2}+2$