K12a765

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-5q^{5}+13q^{4}-24q^{3}+35q^{2}-42q+45-41q^{-1}+33q^{-2}-22q^{-3}+11q^{-4}-4q^{-5}+q^{-6}$
Alexander polynomial	$t^{4}-9t^{3}+31t^{2}-60t+75-60t^{-1}+31t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	$z^{8}-z^{6}-3z^{4}-z^{2}+1$
Determinant	277
Signature	0
HOMFLY-PT polynomial	$z^{8}-2a^{2}z^{6}-2z^{6}a^{-2}+3z^{6}+a^{4}z^{4}-5a^{2}z^{4}-4z^{4}a^{-2}+z^{4}a^{-4}+4z^{4}+2a^{4}z^{2}-5a^{2}z^{2}-2z^{2}a^{-2}+z^{2}a^{-4}+3z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	$3az^{11}+3z^{11}a^{-1}+10a^{2}z^{10}+11z^{10}a^{-2}+21z^{10}+13a^{3}z^{9}+30az^{9}+33z^{9}a^{-1}+16z^{9}a^{-3}+9a^{4}z^{8}+a^{2}z^{8}+5z^{8}a^{-2}+12z^{8}a^{-4}-15z^{8}+4a^{5}z^{7}-22a^{3}z^{7}-77az^{7}-81z^{7}a^{-1}-25z^{7}a^{-3}+5z^{7}a^{-5}+a^{6}z^{6}-16a^{4}z^{6}-33a^{2}z^{6}-46z^{6}a^{-2}-21z^{6}a^{-4}+z^{6}a^{-6}-40z^{6}-7a^{5}z^{5}+17a^{3}z^{5}+65az^{5}+59z^{5}a^{-1}+11z^{5}a^{-3}-7z^{5}a^{-5}-2a^{6}z^{4}+13a^{4}z^{4}+38a^{2}z^{4}+38z^{4}a^{-2}+14z^{4}a^{-4}-z^{4}a^{-6}+46z^{4}+4a^{5}z^{3}-6a^{3}z^{3}-24az^{3}-20z^{3}a^{-1}-3z^{3}a^{-3}+3z^{3}a^{-5}+a^{6}z^{2}-6a^{4}z^{2}-16a^{2}z^{2}-10z^{2}a^{-2}-4z^{2}a^{-4}-15z^{2}-a^{5}z+3az+3za^{-1}+za^{-3}+a^{4}+2a^{2}+2$