K12a1002

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+4q^{3}-9q^{2}+15q-21+27q^{-1}-28q^{-2}+27q^{-3}-22q^{-4}+15q^{-5}-9q^{-6}+4q^{-7}-q^{-8}$
Alexander polynomial	$t^{5}-5t^{4}+13t^{3}-23t^{2}+32t-35+32t^{-1}-23t^{-2}+13t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	$z^{10}+5z^{8}+8z^{6}+5z^{4}+2z^{2}+1$
Determinant	183
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-z^{8}-5a^{4}z^{6}+18a^{2}z^{6}-5z^{6}-8a^{4}z^{4}+21a^{2}z^{4}-8z^{4}-5a^{4}z^{2}+12a^{2}z^{2}-5z^{2}-2a^{4}+4a^{2}-1$
Kauffman polynomial	$3a^{3}z^{11}+3az^{11}+8a^{4}z^{10}+15a^{2}z^{10}+7z^{10}+11a^{5}z^{9}+7a^{3}z^{9}+3az^{9}+7z^{9}a^{-1}+11a^{6}z^{8}-13a^{4}z^{8}-49a^{2}z^{8}+4z^{8}a^{-2}-21z^{8}+8a^{7}z^{7}-21a^{5}z^{7}-36a^{3}z^{7}-31az^{7}-23z^{7}a^{-1}+z^{7}a^{-3}+4a^{8}z^{6}-20a^{6}z^{6}+6a^{4}z^{6}+64a^{2}z^{6}-13z^{6}a^{-2}+21z^{6}+a^{9}z^{5}-12a^{7}z^{5}+16a^{5}z^{5}+47a^{3}z^{5}+42az^{5}+21z^{5}a^{-1}-3z^{5}a^{-3}-5a^{8}z^{4}+14a^{6}z^{4}+2a^{4}z^{4}-43a^{2}z^{4}+10z^{4}a^{-2}-16z^{4}-a^{9}z^{3}+4a^{7}z^{3}-3a^{5}z^{3}-23a^{3}z^{3}-25az^{3}-8z^{3}a^{-1}+2z^{3}a^{-3}-4a^{6}z^{2}+3a^{4}z^{2}+15a^{2}z^{2}-z^{2}a^{-2}+7z^{2}-a^{7}z+a^{5}z+5a^{3}z+5az+2za^{-1}-2a^{4}-4a^{2}-1$