K12n461

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{3}+4q^{2}-7q+11-13q^{-1}+14q^{-2}-13q^{-3}+10q^{-4}-7q^{-5}+4q^{-6}-q^{-7}$
Alexander polynomial	$-t^{3}+7t^{2}-20t+29-20t^{-1}+7t^{-2}-t^{-3}$
Conway polynomial	$-z^{6}+z^{4}-z^{2}+1$
Determinant	85
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{6}+2z^{4}a^{4}+3z^{2}a^{4}+a^{4}-z^{6}a^{2}-3z^{4}a^{2}-5z^{2}a^{2}-2a^{2}+2z^{4}+3z^{2}+2-z^{2}a^{-2}$
Kauffman polynomial	$3a^{4}z^{10}+3a^{2}z^{10}+6a^{5}z^{9}+12a^{3}z^{9}+6az^{9}+4a^{6}z^{8}-4a^{4}z^{8}-4a^{2}z^{8}+4z^{8}+a^{7}z^{7}-24a^{5}z^{7}-49a^{3}z^{7}-23az^{7}+z^{7}a^{-1}-15a^{6}z^{6}-19a^{4}z^{6}-15a^{2}z^{6}-11z^{6}-3a^{7}z^{5}+25a^{5}z^{5}+59a^{3}z^{5}+34az^{5}+3z^{5}a^{-1}+13a^{6}z^{4}+30a^{4}z^{4}+29a^{2}z^{4}+4z^{4}a^{-2}+16z^{4}+a^{7}z^{3}-8a^{5}z^{3}-24a^{3}z^{3}-20az^{3}-4z^{3}a^{-1}+z^{3}a^{-3}-3a^{6}z^{2}-11a^{4}z^{2}-15a^{2}z^{2}-3z^{2}a^{-2}-10z^{2}+2a^{3}z+3az+za^{-1}+a^{4}+2a^{2}+2$