K12n277

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{6}+3q^{5}-6q^{4}+9q^{3}-10q^{2}+11q-10+8q^{-1}-5q^{-2}+3q^{-3}-q^{-4}$
Alexander polynomial	$2t^{3}-8t^{2}+15t-17+15t^{-1}-8t^{-2}+2t^{-3}$
Conway polynomial	$2z^{6}+4z^{4}+z^{2}+1$
Determinant	67
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-2}+z^{6}-a^{2}z^{4}+3z^{4}a^{-2}-z^{4}a^{-4}+3z^{4}-2a^{2}z^{2}+3z^{2}a^{-2}-2z^{2}a^{-4}+2z^{2}+2a^{-2}-a^{-4}$
Kauffman polynomial	$z^{10}a^{-2}+z^{10}+3az^{9}+5z^{9}a^{-1}+2z^{9}a^{-3}+3a^{2}z^{8}+z^{8}a^{-2}+2z^{8}a^{-4}+2z^{8}+a^{3}z^{7}-11az^{7}-16z^{7}a^{-1}-3z^{7}a^{-3}+z^{7}a^{-5}-13a^{2}z^{6}-6z^{6}a^{-2}-3z^{6}a^{-4}-16z^{6}-4a^{3}z^{5}+11az^{5}+16z^{5}a^{-1}+z^{5}a^{-3}+16a^{2}z^{4}+3z^{4}a^{-4}+3z^{4}a^{-6}+16z^{4}+4a^{3}z^{3}-5az^{3}-11z^{3}a^{-1}+3z^{3}a^{-5}+z^{3}a^{-7}-5a^{2}z^{2}+4z^{2}a^{-2}+2z^{2}a^{-4}-2z^{2}a^{-6}-5z^{2}+az+2za^{-1}+za^{-3}-za^{-5}-za^{-7}-2a^{-2}-a^{-4}$