K13a543

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a543/Jones Polynomial
Alexander polynomial	$8t^{3}-33t^{2}+68t-85+68t^{-1}-33t^{-2}+8t^{-3}$
Conway polynomial	Data:K13a543/Conway Polynomial
Determinant	303
Signature	6
HOMFLY-PT polynomial	$z^{6}a^{-6}+4z^{6}a^{-8}+3z^{6}a^{-10}+2z^{4}a^{-6}+13z^{4}a^{-8}+6z^{4}a^{-10}-6z^{4}a^{-12}+z^{2}a^{-6}+14z^{2}a^{-8}+2z^{2}a^{-10}-13z^{2}a^{-12}+4z^{2}a^{-14}+5a^{-8}-a^{-10}-7a^{-12}+5a^{-14}-a^{-16}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+5z^{11}a^{-11}+9z^{11}a^{-13}+4z^{11}a^{-15}+11z^{10}a^{-10}+23z^{10}a^{-12}+19z^{10}a^{-14}+7z^{10}a^{-16}+13z^{9}a^{-9}+20z^{9}a^{-11}+12z^{9}a^{-13}+12z^{9}a^{-15}+7z^{9}a^{-17}+10z^{8}a^{-8}-6z^{8}a^{-10}-48z^{8}a^{-12}-45z^{8}a^{-14}-9z^{8}a^{-16}+4z^{8}a^{-18}+4z^{7}a^{-7}-20z^{7}a^{-9}-68z^{7}a^{-11}-86z^{7}a^{-13}-63z^{7}a^{-15}-20z^{7}a^{-17}+z^{7}a^{-19}+z^{6}a^{-6}-21z^{6}a^{-8}-18z^{6}a^{-10}+30z^{6}a^{-12}+23z^{6}a^{-14}-16z^{6}a^{-16}-13z^{6}a^{-18}-6z^{5}a^{-7}+6z^{5}a^{-9}+75z^{5}a^{-11}+131z^{5}a^{-13}+90z^{5}a^{-15}+19z^{5}a^{-17}-3z^{5}a^{-19}-2z^{4}a^{-6}+22z^{4}a^{-8}+19z^{4}a^{-10}-10z^{4}a^{-12}+13z^{4}a^{-14}+31z^{4}a^{-16}+13z^{4}a^{-18}+2z^{3}a^{-7}+4z^{3}a^{-9}-42z^{3}a^{-11}-91z^{3}a^{-13}-60z^{3}a^{-15}-11z^{3}a^{-17}+2z^{3}a^{-19}+z^{2}a^{-6}-16z^{2}a^{-8}-8z^{2}a^{-10}+13z^{2}a^{-12}-5z^{2}a^{-14}-14z^{2}a^{-16}-5z^{2}a^{-18}-4za^{-9}+10za^{-11}+28za^{-13}+18za^{-15}+4za^{-17}+5a^{-8}+a^{-10}-7a^{-12}-5a^{-14}-a^{-16}$