K12a1025

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{3}-4q^{2}+9q-18+29q^{-1}-36q^{-2}+41q^{-3}-39q^{-4}+33q^{-5}-24q^{-6}+14q^{-7}-6q^{-8}+q^{-9}$
Alexander polynomial	$-2t^{4}+12t^{3}-31t^{2}+52t-61+52t^{-1}-31t^{-2}+12t^{-3}-2t^{-4}$
Conway polynomial	$-2z^{8}-4z^{6}+z^{4}+4z^{2}+1$
Determinant	255
Signature	-2
HOMFLY-PT polynomial	$-a^{4}z^{8}-a^{2}z^{8}+a^{6}z^{6}-2a^{4}z^{6}-4a^{2}z^{6}+z^{6}+a^{6}z^{4}+4a^{4}z^{4}-7a^{2}z^{4}+3z^{4}-3a^{6}z^{2}+11a^{4}z^{2}-6a^{2}z^{2}+2z^{2}-3a^{6}+5a^{4}-a^{2}$
Kauffman polynomial	$4a^{5}z^{11}+4a^{3}z^{11}+12a^{6}z^{10}+22a^{4}z^{10}+10a^{2}z^{10}+17a^{7}z^{9}+20a^{5}z^{9}+14a^{3}z^{9}+11az^{9}+14a^{8}z^{8}-7a^{6}z^{8}-45a^{4}z^{8}-16a^{2}z^{8}+8z^{8}+6a^{9}z^{7}-27a^{7}z^{7}-55a^{5}z^{7}-50a^{3}z^{7}-24az^{7}+4z^{7}a^{-1}+a^{10}z^{6}-24a^{8}z^{6}-18a^{6}z^{6}+32a^{4}z^{6}+6a^{2}z^{6}+z^{6}a^{-2}-18z^{6}-7a^{9}z^{5}+4a^{7}z^{5}+38a^{5}z^{5}+56a^{3}z^{5}+20az^{5}-9z^{5}a^{-1}+7a^{8}z^{4}+8a^{6}z^{4}-a^{4}z^{4}+13a^{2}z^{4}-2z^{4}a^{-2}+13z^{4}+a^{7}z^{3}-8a^{5}z^{3}-17a^{3}z^{3}-4az^{3}+4z^{3}a^{-1}+2a^{8}z^{2}-4a^{6}z^{2}-11a^{4}z^{2}-9a^{2}z^{2}-4z^{2}+2a^{9}z-2a^{5}z+3a^{6}+5a^{4}+a^{2}$