K12a668

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{7}+4q^{6}-10q^{5}+16q^{4}-23q^{3}+29q^{2}-29q+28-22q^{-1}+15q^{-2}-8q^{-3}+3q^{-4}-q^{-5}$
Alexander polynomial	$2t^{4}-9t^{3}+23t^{2}-38t+45-38t^{-1}+23t^{-2}-9t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+7z^{6}+9z^{4}+5z^{2}+1$
Determinant	189
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+5z^{6}-4a^{2}z^{4}+5z^{4}a^{-2}-3z^{4}a^{-4}+11z^{4}-6a^{2}z^{2}+2z^{2}a^{-2}-3z^{2}a^{-4}+12z^{2}-3a^{2}+a^{-2}-2a^{-4}+5$
Kauffman polynomial	$2z^{11}a^{-1}+2z^{11}a^{-3}+12z^{10}a^{-2}+6z^{10}a^{-4}+6z^{10}+9az^{9}+13z^{9}a^{-1}+11z^{9}a^{-3}+7z^{9}a^{-5}+9a^{2}z^{8}-22z^{8}a^{-2}-10z^{8}a^{-4}+4z^{8}a^{-6}+z^{8}+6a^{3}z^{7}-11az^{7}-37z^{7}a^{-1}-41z^{7}a^{-3}-20z^{7}a^{-5}+z^{7}a^{-7}+3a^{4}z^{6}-15a^{2}z^{6}+3z^{6}a^{-2}-5z^{6}a^{-4}-12z^{6}a^{-6}-22z^{6}+a^{5}z^{5}-8a^{3}z^{5}+2az^{5}+30z^{5}a^{-1}+37z^{5}a^{-3}+15z^{5}a^{-5}-3z^{5}a^{-7}-4a^{4}z^{4}+16a^{2}z^{4}+8z^{4}a^{-2}+7z^{4}a^{-4}+10z^{4}a^{-6}+31z^{4}-2a^{5}z^{3}+5a^{3}z^{3}+9az^{3}-9z^{3}a^{-1}-18z^{3}a^{-3}-4z^{3}a^{-5}+3z^{3}a^{-7}+a^{4}z^{2}-9a^{2}z^{2}-5z^{2}a^{-2}+z^{2}a^{-4}-2z^{2}a^{-6}-18z^{2}+a^{5}z-2a^{3}z-5az+6za^{-3}+3za^{-5}-za^{-7}+3a^{2}-a^{-2}-2a^{-4}+5$