K12n65

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{3}-2q^{2}+3q-4+5q^{-1}-5q^{-2}+5q^{-3}-3q^{-4}+2q^{-5}-q^{-6}$
Alexander polynomial	$-2t^{2}+8t-11+8t^{-1}-2t^{-2}$
Conway polynomial	$1-2z^{4}$
Determinant	31
Signature	-2
HOMFLY-PT polynomial	$-a^{6}+2z^{2}a^{4}+2a^{4}-z^{4}a^{2}-z^{2}a^{2}-z^{4}-2z^{2}-1+z^{2}a^{-2}+a^{-2}$
Kauffman polynomial	$a^{4}z^{10}+a^{2}z^{10}+a^{5}z^{9}+3a^{3}z^{9}+2az^{9}-6a^{4}z^{8}-4a^{2}z^{8}+2z^{8}-7a^{5}z^{7}-18a^{3}z^{7}-9az^{7}+2z^{7}a^{-1}+11a^{4}z^{6}+3a^{2}z^{6}+z^{6}a^{-2}-7z^{6}+17a^{5}z^{5}+36a^{3}z^{5}+11az^{5}-8z^{5}a^{-1}+a^{6}z^{4}-3a^{4}z^{4}+2a^{2}z^{4}-4z^{4}a^{-2}+2z^{4}-14a^{5}z^{3}-25a^{3}z^{3}-5az^{3}+6z^{3}a^{-1}-2a^{6}z^{2}-4a^{4}z^{2}-a^{2}z^{2}+3z^{2}a^{-2}+4z^{2}+3a^{5}z+5a^{3}z+az-za^{-1}+a^{6}+2a^{4}-a^{-2}-1$