K12a704

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+4q^{3}-10q^{2}+18q-25+31q^{-1}-32q^{-2}+30q^{-3}-24q^{-4}+16q^{-5}-8q^{-6}+3q^{-7}-q^{-8}$
Alexander polynomial	$-t^{4}+8t^{3}-24t^{2}+43t-51+43t^{-1}-24t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	$-z^{8}+4z^{4}+3z^{2}+1$
Determinant	203
Signature	-2
HOMFLY-PT polynomial	$-a^{2}z^{8}+2a^{4}z^{6}-4a^{2}z^{6}+2z^{6}-a^{6}z^{4}+7a^{4}z^{4}-7a^{2}z^{4}-z^{4}a^{-2}+6z^{4}-3a^{6}z^{2}+9a^{4}z^{2}-7a^{2}z^{2}-2z^{2}a^{-2}+6z^{2}-2a^{6}+4a^{4}-3a^{2}-a^{-2}+3$
Kauffman polynomial	$2a^{3}z^{11}+2az^{11}+7a^{4}z^{10}+13a^{2}z^{10}+6z^{10}+11a^{5}z^{9}+19a^{3}z^{9}+15az^{9}+7z^{9}a^{-1}+10a^{6}z^{8}+3a^{4}z^{8}-16a^{2}z^{8}+4z^{8}a^{-2}-5z^{8}+6a^{7}z^{7}-18a^{5}z^{7}-56a^{3}z^{7}-51az^{7}-18z^{7}a^{-1}+z^{7}a^{-3}+3a^{8}z^{6}-18a^{6}z^{6}-37a^{4}z^{6}-26a^{2}z^{6}-12z^{6}a^{-2}-22z^{6}+a^{9}z^{5}-7a^{7}z^{5}+14a^{5}z^{5}+49a^{3}z^{5}+41az^{5}+11z^{5}a^{-1}-3z^{5}a^{-3}-4a^{8}z^{4}+21a^{6}z^{4}+52a^{4}z^{4}+44a^{2}z^{4}+12z^{4}a^{-2}+29z^{4}-2a^{9}z^{3}+3a^{7}z^{3}-15a^{3}z^{3}-13az^{3}+3z^{3}a^{-3}+a^{8}z^{2}-11a^{6}z^{2}-25a^{4}z^{2}-22a^{2}z^{2}-5z^{2}a^{-2}-14z^{2}+a^{9}z-a^{7}z-2a^{5}z+a^{3}z+az-za^{-1}-za^{-3}+2a^{6}+4a^{4}+3a^{2}+a^{-2}+3$