K12a1190

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{8}+5q^{7}-13q^{6}+23q^{5}-34q^{4}+42q^{3}-44q^{2}+42q-33+23q^{-1}-13q^{-2}+5q^{-3}-q^{-4}$
Alexander polynomial	$-t^{4}+9t^{3}-31t^{2}+61t-75+61t^{-1}-31t^{-2}+9t^{-3}-t^{-4}$
Conway polynomial	$-z^{8}+z^{6}+3z^{4}+2z^{2}+1$
Determinant	279
Signature	2
HOMFLY-PT 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 -z^8 a^{-2} -3 z^6 a^{-2} +2 z^6 a^{-4} +2 z^6-a^2 z^4-3 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} +4 z^4-a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +z^2+4 a^{-2} -2 a^{-4} -1}
Kauffman polynomial	$5z^{11}a^{-1}+5z^{11}a^{-3}+28z^{10}a^{-2}+16z^{10}a^{-4}+12z^{10}+11az^{9}+17z^{9}a^{-1}+29z^{9}a^{-3}+23z^{9}a^{-5}+5a^{2}z^{8}-60z^{8}a^{-2}-10z^{8}a^{-4}+21z^{8}a^{-6}-24z^{8}+a^{3}z^{7}-29az^{7}-76z^{7}a^{-1}-93z^{7}a^{-3}-34z^{7}a^{-5}+13z^{7}a^{-7}-12a^{2}z^{6}+27z^{6}a^{-2}-23z^{6}a^{-4}-29z^{6}a^{-6}+5z^{6}a^{-8}+4z^{6}-2a^{3}z^{5}+23az^{5}+77z^{5}a^{-1}+83z^{5}a^{-3}+17z^{5}a^{-5}-13z^{5}a^{-7}+z^{5}a^{-9}+8a^{2}z^{4}+3z^{4}a^{-2}+18z^{4}a^{-4}+14z^{4}a^{-6}-2z^{4}a^{-8}+9z^{4}+a^{3}z^{3}-8az^{3}-30z^{3}a^{-1}-34z^{3}a^{-3}-9z^{3}a^{-5}+4z^{3}a^{-7}-2a^{2}z^{2}+3z^{2}a^{-2}-z^{2}a^{-4}-3z^{2}a^{-6}-z^{2}+2az+6za^{-1}+8za^{-3}+4za^{-5}-4a^{-2}-2a^{-4}-1$