K12n854

Dowker-Thistlethwaite code

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

Jones polynomial	$-3q^{8}+8q^{7}-14q^{6}+20q^{5}-23q^{4}+24q^{3}-21q^{2}+16q-9+4q^{-1}-q^{-2}$
Alexander polynomial	$3t^{3}-14t^{2}+33t-43+33t^{-1}-14t^{-2}+3t^{-3}$
Conway polynomial	$3z^{6}+4z^{4}+4z^{2}+1$
Determinant	143
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}+z^{4}a^{-2}+6z^{4}a^{-4}-2z^{4}a^{-6}-z^{4}+7z^{2}a^{-4}-2z^{2}a^{-6}-z^{2}+2a^{-4}-a^{-8}$
Kauffman polynomial	$3z^{10}a^{-4}+3z^{10}a^{-6}+9z^{9}a^{-3}+15z^{9}a^{-5}+6z^{9}a^{-7}+11z^{8}a^{-2}+13z^{8}a^{-4}+5z^{8}a^{-6}+3z^{8}a^{-8}+8z^{7}a^{-1}-11z^{7}a^{-3}-32z^{7}a^{-5}-13z^{7}a^{-7}-19z^{6}a^{-2}-43z^{6}a^{-4}-20z^{6}a^{-6}+4z^{6}+az^{5}-11z^{5}a^{-1}+24z^{5}a^{-5}+18z^{5}a^{-7}+6z^{5}a^{-9}+14z^{4}a^{-2}+44z^{4}a^{-4}+16z^{4}a^{-6}-9z^{4}a^{-8}-5z^{4}-az^{3}+4z^{3}a^{-1}+7z^{3}a^{-3}-6z^{3}a^{-5}-20z^{3}a^{-7}-12z^{3}a^{-9}-5z^{2}a^{-2}-16z^{2}a^{-4}-5z^{2}a^{-6}+5z^{2}a^{-8}+z^{2}-za^{-1}-2za^{-3}+6za^{-7}+5za^{-9}+2a^{-4}-a^{-8}$