K13n4227

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4227/Jones Polynomial
Alexander polynomial	$4t^{3}-18t^{2}+33t-37+33t^{-1}-18t^{-2}+4t^{-3}$
Conway polynomial	Data:K13n4227/Conway Polynomial
Determinant	147
Signature	2
HOMFLY-PT polynomial	$2z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-a^{2}z^{4}+5z^{4}a^{-2}+2z^{4}a^{-4}-z^{4}a^{-6}+z^{4}-a^{2}z^{2}+3z^{2}a^{-2}-3z^{2}a^{-6}-2z^{2}+a^{2}+2a^{-2}-a^{-4}-a^{-6}+a^{-8}-1$
Kauffman polynomial	$2z^{11}a^{-1}+2z^{11}a^{-3}+9z^{10}a^{-2}+4z^{10}a^{-4}+5z^{10}+6az^{9}+2z^{9}a^{-1}+4z^{9}a^{-5}+4a^{2}z^{8}-26z^{8}a^{-2}-7z^{8}a^{-4}+3z^{8}a^{-6}-12z^{8}+a^{3}z^{7}-19az^{7}-11z^{7}a^{-1}+4z^{7}a^{-3}-4z^{7}a^{-5}+z^{7}a^{-7}-14a^{2}z^{6}+38z^{6}a^{-2}+14z^{6}a^{-4}-3z^{6}a^{-6}+7z^{6}-3a^{3}z^{5}+15az^{5}-2z^{5}a^{-1}-21z^{5}a^{-3}+2z^{5}a^{-5}+3z^{5}a^{-7}+13a^{2}z^{4}-41z^{4}a^{-2}-16z^{4}a^{-4}+7z^{4}a^{-6}+3z^{4}a^{-8}-8z^{4}+2a^{3}z^{3}-az^{3}+9z^{3}a^{-1}+23z^{3}a^{-3}+6z^{3}a^{-5}-5z^{3}a^{-7}-a^{2}z^{2}+17z^{2}a^{-2}+9z^{2}a^{-4}-5z^{2}a^{-6}-5z^{2}a^{-8}+7z^{2}-az-5za^{-1}-8za^{-3}-2za^{-5}+2za^{-7}-a^{2}-2a^{-2}-a^{-4}+a^{-6}+a^{-8}-1$