K13a3684

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3684/Jones Polynomial
Alexander polynomial	$2t^{4}-16t^{3}+53t^{2}-100t+123-100t^{-1}+53t^{-2}-16t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a3684/Conway Polynomial
Determinant	465
Signature	0
HOMFLY-PT polynomial	$a^{2}z^{8}+z^{8}-a^{4}z^{6}+2a^{2}z^{6}-2z^{6}a^{-2}+z^{6}-a^{4}z^{4}+2a^{2}z^{4}-3z^{4}a^{-2}+z^{4}a^{-4}-2z^{4}+3a^{2}z^{2}+z^{2}a^{-4}-4z^{2}-a^{4}+3a^{2}+a^{-2}-2$
Kauffman polynomial	$6a^{2}z^{12}+6z^{12}+18a^{3}z^{11}+36az^{11}+18z^{11}a^{-1}+23a^{4}z^{10}+35a^{2}z^{10}+25z^{10}a^{-2}+37z^{10}+16a^{5}z^{9}-19a^{3}z^{9}-67az^{9}-10z^{9}a^{-1}+22z^{9}a^{-3}+6a^{6}z^{8}-51a^{4}z^{8}-117a^{2}z^{8}-43z^{8}a^{-2}+13z^{8}a^{-4}-116z^{8}+a^{7}z^{7}-35a^{5}z^{7}-26a^{3}z^{7}+23az^{7}-32z^{7}a^{-1}-40z^{7}a^{-3}+5z^{7}a^{-5}-10a^{6}z^{6}+31a^{4}z^{6}+108a^{2}z^{6}+30z^{6}a^{-2}-20z^{6}a^{-4}+z^{6}a^{-6}+118z^{6}-a^{7}z^{5}+20a^{5}z^{5}+27a^{3}z^{5}+11az^{5}+41z^{5}a^{-1}+30z^{5}a^{-3}-6z^{5}a^{-5}+3a^{6}z^{4}-7a^{4}z^{4}-44a^{2}z^{4}-11z^{4}a^{-2}+10z^{4}a^{-4}-z^{4}a^{-6}-56z^{4}-2a^{5}z^{3}-2a^{3}z^{3}-3az^{3}-14z^{3}a^{-1}-10z^{3}a^{-3}+z^{3}a^{-5}+2a^{4}z^{2}+11a^{2}z^{2}+4z^{2}a^{-2}-2z^{2}a^{-4}+15z^{2}-a^{3}z-az+za^{-1}+za^{-3}-a^{4}-3a^{2}-a^{-2}-2$