K12n635

Dowker-Thistlethwaite code

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

Jones polynomial	$3q^{4}-9q^{3}+16q^{2}-22q+26-26q^{-1}+23q^{-2}-17q^{-3}+10q^{-4}-4q^{-5}+q^{-6}$
Alexander polynomial	$t^{4}-7t^{3}+19t^{2}-32t+39-32t^{-1}+19t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	$z^{8}+z^{6}-3z^{4}-3z^{2}+1$
Determinant	157
Signature	0
HOMFLY-PT polynomial	$z^{8}-2a^{2}z^{6}-z^{6}a^{-2}+4z^{6}+a^{4}z^{4}-6a^{2}z^{4}-3z^{4}a^{-2}+5z^{4}+2a^{4}z^{2}-5a^{2}z^{2}-3z^{2}a^{-2}+z^{2}a^{-4}+2z^{2}+a^{4}-a^{2}-a^{-2}+a^{-4}+1$
Kauffman polynomial	$3a^{2}z^{10}+3z^{10}+8a^{3}z^{9}+17az^{9}+9z^{9}a^{-1}+8a^{4}z^{8}+15a^{2}z^{8}+9z^{8}a^{-2}+16z^{8}+4a^{5}z^{7}-10a^{3}z^{7}-28az^{7}-11z^{7}a^{-1}+3z^{7}a^{-3}+a^{6}z^{6}-17a^{4}z^{6}-47a^{2}z^{6}-13z^{6}a^{-2}-42z^{6}-8a^{5}z^{5}-4a^{3}z^{5}+7az^{5}+9z^{5}a^{-1}+6z^{5}a^{-3}-2a^{6}z^{4}+13a^{4}z^{4}+37a^{2}z^{4}+15z^{4}a^{-2}+6z^{4}a^{-4}+31z^{4}+5a^{5}z^{3}+5a^{3}z^{3}+2az^{3}-7z^{3}a^{-1}-9z^{3}a^{-3}+a^{6}z^{2}-6a^{4}z^{2}-12a^{2}z^{2}-9z^{2}a^{-2}-6z^{2}a^{-4}-8z^{2}-a^{5}z-a^{3}z+2za^{-1}+2za^{-3}+a^{4}+a^{2}+a^{-2}+a^{-4}+1$