K12n530

Dowker-Thistlethwaite code

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

Jones polynomial	$3q^{5}-7q^{4}+10q^{3}-13q^{2}+14q-13+11q^{-1}-7q^{-2}+4q^{-3}-q^{-4}$
Alexander polynomial	$2t^{3}-10t^{2}+19t-21+19t^{-1}-10t^{-2}+2t^{-3}$
Conway polynomial	$2z^{6}+2z^{4}-3z^{2}+1$
Determinant	83
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-2}+z^{6}-a^{2}z^{4}+2z^{4}a^{-2}-z^{4}a^{-4}+2z^{4}-a^{2}z^{2}-2z^{2}a^{-4}+a^{2}-a^{-4}+a^{-6}$
Kauffman polynomial	$2z^{10}a^{-2}+2z^{10}+5az^{9}+9z^{9}a^{-1}+4z^{9}a^{-3}+4a^{2}z^{8}+2z^{8}a^{-4}+2z^{8}+a^{3}z^{7}-17az^{7}-30z^{7}a^{-1}-12z^{7}a^{-3}-15a^{2}z^{6}-13z^{6}a^{-2}-2z^{6}a^{-4}-26z^{6}-3a^{3}z^{5}+13az^{5}+28z^{5}a^{-1}+15z^{5}a^{-3}+3z^{5}a^{-5}+15a^{2}z^{4}+14z^{4}a^{-2}+z^{4}a^{-4}+28z^{4}+2a^{3}z^{3}-2az^{3}-13z^{3}a^{-1}-7z^{3}a^{-3}+2z^{3}a^{-5}-3a^{2}z^{2}-6z^{2}a^{-2}+3z^{2}a^{-4}+4z^{2}a^{-6}-8z^{2}+az+3za^{-1}-2za^{-5}-a^{2}-a^{-4}-a^{-6}$