K13n1078

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1078/Jones Polynomial
Alexander polynomial	$2t^{4}-6t^{3}+9t^{2}-8t+7-8t^{-1}+9t^{-2}-6t^{-3}+2t^{-4}$
Conway polynomial	Data:K13n1078/Conway Polynomial
Determinant	57
Signature	0
HOMFLY-PT polynomial	$2z^{8}a^{-2}+14z^{6}a^{-2}-3z^{6}a^{-4}-z^{6}-a^{2}z^{4}+35z^{4}a^{-2}-16z^{4}a^{-4}+z^{4}a^{-6}-6z^{4}-2a^{2}z^{2}+40z^{2}a^{-2}-26z^{2}a^{-4}+4z^{2}a^{-6}-10z^{2}-a^{2}+18a^{-2}-14a^{-4}+3a^{-6}-5$
Kauffman polynomial	$z^{11}a^{-3}+z^{11}a^{-5}+4z^{10}a^{-2}+7z^{10}a^{-4}+3z^{10}a^{-6}+3z^{9}a^{-1}+5z^{9}a^{-3}+5z^{9}a^{-5}+3z^{9}a^{-7}+a^{2}z^{8}-24z^{8}a^{-2}-35z^{8}a^{-4}-12z^{8}a^{-6}+z^{8}a^{-8}-z^{8}+a^{3}z^{7}-22z^{7}a^{-1}-54z^{7}a^{-3}-49z^{7}a^{-5}-16z^{7}a^{-7}-6a^{2}z^{6}+48z^{6}a^{-2}+51z^{6}a^{-4}+7z^{6}a^{-6}-5z^{6}a^{-8}+3z^{6}-6a^{3}z^{5}-5az^{5}+49z^{5}a^{-1}+119z^{5}a^{-3}+98z^{5}a^{-5}+27z^{5}a^{-7}+8a^{2}z^{4}-56z^{4}a^{-2}-39z^{4}a^{-4}+6z^{4}a^{-6}+7z^{4}a^{-8}-10z^{4}+10a^{3}z^{3}+9az^{3}-49z^{3}a^{-1}-110z^{3}a^{-3}-82z^{3}a^{-5}-20z^{3}a^{-7}-3a^{2}z^{2}+44z^{2}a^{-2}+29z^{2}a^{-4}-z^{2}a^{-6}-3z^{2}a^{-8}+14z^{2}-5a^{3}z-3az+19za^{-1}+39za^{-3}+28za^{-5}+6za^{-7}+a^{2}-18a^{-2}-14a^{-4}-3a^{-6}-5$