K12a1063

Dowker-Thistlethwaite code

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

Jones polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^8-3 q^7+6 q^6-9 q^5+12 q^4-15 q^3+16 q^2-15 q+13-9 q^{-1} +6 q^{-2} -3 q^{-3} + q^{-4} }
Alexander polynomial	$-3t^{3}+12t^{2}-24t+31-24t^{-1}+12t^{-2}-3t^{-3}$
Conway polynomial	$-3z^{6}-6z^{4}-3z^{2}+1$
Determinant	109
Signature	0
HOMFLY-PT polynomial	$-z^{6}a^{-2}-z^{6}a^{-4}-z^{6}+a^{2}z^{4}-2z^{4}a^{-2}-3z^{4}a^{-4}+z^{4}a^{-6}-3z^{4}+2a^{2}z^{2}-z^{2}a^{-2}-3z^{2}a^{-4}+2z^{2}a^{-6}-3z^{2}+a^{2}-a^{-4}+a^{-6}$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+5z^{10}a^{-2}+9z^{10}a^{-4}+4z^{10}a^{-6}+6z^{9}a^{-1}-3z^{9}a^{-5}+3z^{9}a^{-7}-16z^{8}a^{-2}-42z^{8}a^{-4}-19z^{8}a^{-6}+z^{8}a^{-8}+6z^{8}+6az^{7}-15z^{7}a^{-1}-24z^{7}a^{-3}-18z^{7}a^{-5}-15z^{7}a^{-7}+5a^{2}z^{6}+19z^{6}a^{-2}+64z^{6}a^{-4}+26z^{6}a^{-6}-5z^{6}a^{-8}-9z^{6}+3a^{3}z^{5}-8az^{5}+15z^{5}a^{-1}+44z^{5}a^{-3}+40z^{5}a^{-5}+22z^{5}a^{-7}+a^{4}z^{4}-6a^{2}z^{4}-13z^{4}a^{-2}-43z^{4}a^{-4}-14z^{4}a^{-6}+7z^{4}a^{-8}+2z^{4}-3a^{3}z^{3}+4az^{3}-10z^{3}a^{-1}-31z^{3}a^{-3}-26z^{3}a^{-5}-12z^{3}a^{-7}-a^{4}z^{2}+3a^{2}z^{2}+2z^{2}a^{-2}+12z^{2}a^{-4}+6z^{2}a^{-6}-3z^{2}a^{-8}+3z^{2}+3za^{-1}+6za^{-3}+6za^{-5}+3za^{-7}-a^{2}-a^{-4}-a^{-6}$