K13a3907

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3907/Jones Polynomial
Alexander polynomial	$2t^{4}-12t^{3}+33t^{2}-56t+67-56t^{-1}+33t^{-2}-12t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a3907/Conway Polynomial
Determinant	273
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+3z^{6}+a^{4}z^{4}-6a^{2}z^{4}+7z^{4}a^{-2}-3z^{4}a^{-4}+2z^{4}+2a^{4}z^{2}-5a^{2}z^{2}+8z^{2}a^{-2}-3z^{2}a^{-4}-2z^{2}+a^{4}-a^{2}+5a^{-2}-2a^{-4}-2$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}+6az^{11}+13z^{11}a^{-1}+7z^{11}a^{-3}+10a^{2}z^{10}+14z^{10}a^{-2}+10z^{10}a^{-4}+14z^{10}+11a^{3}z^{9}+2az^{9}-30z^{9}a^{-1}-13z^{9}a^{-3}+8z^{9}a^{-5}+8a^{4}z^{8}-16a^{2}z^{8}-61z^{8}a^{-2}-32z^{8}a^{-4}+4z^{8}a^{-6}-49z^{8}+4a^{5}z^{7}-24a^{3}z^{7}-35az^{7}+19z^{7}a^{-1}-25z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-16a^{4}z^{6}+2a^{2}z^{6}+91z^{6}a^{-2}+40z^{6}a^{-4}-12z^{6}a^{-6}+58z^{6}-8a^{5}z^{5}+21a^{3}z^{5}+54az^{5}+10z^{5}a^{-1}+11z^{5}a^{-3}+23z^{5}a^{-5}-3z^{5}a^{-7}-2a^{6}z^{4}+8a^{4}z^{4}+12a^{2}z^{4}-65z^{4}a^{-2}-33z^{4}a^{-4}+8z^{4}a^{-6}-22z^{4}+3a^{5}z^{3}-14a^{3}z^{3}-26az^{3}-9z^{3}a^{-1}-12z^{3}a^{-3}-10z^{3}a^{-5}+2z^{3}a^{-7}+a^{6}z^{2}-4a^{4}z^{2}-9a^{2}z^{2}+23z^{2}a^{-2}+12z^{2}a^{-4}+7z^{2}+3a^{3}z+5az+3za^{-1}+3za^{-3}+2za^{-5}+a^{4}+a^{2}-5a^{-2}-2a^{-4}-2$