K12n313

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{5}-2q^{4}+2q^{3}-2q^{2}+q+1-q^{-1}+2q^{-2}-2q^{-3}+2q^{-4}-q^{-5}$
Alexander polynomial	1
Conway polynomial	1
Determinant	1
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{4}-a^{4}+z^{4}a^{2}+3z^{2}a^{2}+2a^{2}+1-z^{4}a^{-2}-3z^{2}a^{-2}-2a^{-2}+z^{2}a^{-4}+a^{-4}$
Kauffman polynomial	$z^{10}a^{-2}+z^{10}+az^{9}+3z^{9}a^{-1}+2z^{9}a^{-3}-5z^{8}a^{-2}+z^{8}a^{-4}-6z^{8}+a^{3}z^{7}-7az^{7}-21z^{7}a^{-1}-13z^{7}a^{-3}+2a^{4}z^{6}+a^{2}z^{6}+2z^{6}a^{-2}-6z^{6}a^{-4}+7z^{6}+a^{5}z^{5}-3a^{3}z^{5}+13az^{5}+42z^{5}a^{-1}+25z^{5}a^{-3}-7a^{4}z^{4}-6a^{2}z^{4}+11z^{4}a^{-2}+10z^{4}a^{-4}+2z^{4}-3a^{5}z^{3}-a^{3}z^{3}-10az^{3}-29z^{3}a^{-1}-17z^{3}a^{-3}+4a^{4}z^{2}+6a^{2}z^{2}-10z^{2}a^{-2}-5z^{2}a^{-4}-3z^{2}+a^{5}z+2a^{3}z+4az+6za^{-1}+3za^{-3}-a^{4}-2a^{2}+2a^{-2}+a^{-4}+1$