K12n32

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{7}+4q^{6}-8q^{5}+12q^{4}-15q^{3}+16q^{2}-15q+13-8q^{-1}+4q^{-2}-q^{-3}$
Alexander polynomial	$-2t^{3}+10t^{2}-22t+29-22t^{-1}+10t^{-2}-2t^{-3}$
Conway polynomial	$-2z^{6}-2z^{4}+1$
Determinant	97
Signature	0
HOMFLY-PT polynomial	$-2z^{6}a^{-2}-8z^{4}a^{-2}+3z^{4}a^{-4}+3z^{4}-a^{2}z^{2}-12z^{2}a^{-2}+7z^{2}a^{-4}-z^{2}a^{-6}+7z^{2}-a^{2}-6a^{-2}+4a^{-4}-a^{-6}+5$
Kauffman polynomial	$2z^{10}a^{-2}+2z^{10}a^{-4}+6z^{9}a^{-1}+11z^{9}a^{-3}+5z^{9}a^{-5}+8z^{8}a^{-2}+6z^{8}a^{-4}+4z^{8}a^{-6}+6z^{8}+2az^{7}-16z^{7}a^{-1}-33z^{7}a^{-3}-14z^{7}a^{-5}+z^{7}a^{-7}-47z^{6}a^{-2}-41z^{6}a^{-4}-14z^{6}a^{-6}-20z^{6}-2az^{5}+11z^{5}a^{-1}+20z^{5}a^{-3}+4z^{5}a^{-5}-3z^{5}a^{-7}+4a^{2}z^{4}+63z^{4}a^{-2}+48z^{4}a^{-4}+14z^{4}a^{-6}+33z^{4}+a^{3}z^{3}+6az^{3}+5z^{3}a^{-1}+3z^{3}a^{-3}+6z^{3}a^{-5}+3z^{3}a^{-7}-4a^{2}z^{2}-33z^{2}a^{-2}-22z^{2}a^{-4}-5z^{2}a^{-6}-20z^{2}-a^{3}z-3az-4za^{-1}-4za^{-3}-3za^{-5}-za^{-7}+a^{2}+6a^{-2}+4a^{-4}+a^{-6}+5$