K12a1240

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{9}+3q^{8}-5q^{7}+8q^{6}-11q^{5}+13q^{4}-14q^{3}+13q^{2}-11q+9-5q^{-1}+3q^{-2}-q^{-3}$
Alexander polynomial	$2t^{4}-8t^{3}+14t^{2}-16t+17-16t^{-1}+14t^{-2}-8t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+8z^{6}+6z^{4}+1$
Determinant	97
Signature	4
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} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+7 z^4 a^{-2} +7 z^4 a^{-4} -4 z^4 a^{-6} -4 z^4+3 z^2 a^{-2} +3 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2+1}
Kauffman polynomial	$2z^{11}a^{-1}+2z^{11}a^{-3}+9z^{10}a^{-2}+6z^{10}a^{-4}+3z^{10}+az^{9}-7z^{9}a^{-1}+z^{9}a^{-3}+9z^{9}a^{-5}-49z^{8}a^{-2}-20z^{8}a^{-4}+10z^{8}a^{-6}-19z^{8}-6az^{7}-5z^{7}a^{-1}-38z^{7}a^{-3}-30z^{7}a^{-5}+9z^{7}a^{-7}+85z^{6}a^{-2}+9z^{6}a^{-4}-28z^{6}a^{-6}+7z^{6}a^{-8}+41z^{6}+12az^{5}+35z^{5}a^{-1}+68z^{5}a^{-3}+22z^{5}a^{-5}-18z^{5}a^{-7}+5z^{5}a^{-9}-55z^{4}a^{-2}+8z^{4}a^{-4}+17z^{4}a^{-6}-8z^{4}a^{-8}+3z^{4}a^{-10}-35z^{4}-9az^{3}-30z^{3}a^{-1}-33z^{3}a^{-3}-2z^{3}a^{-5}+6z^{3}a^{-7}-3z^{3}a^{-9}+z^{3}a^{-11}+12z^{2}a^{-2}-z^{2}a^{-4}-3z^{2}a^{-6}-z^{2}a^{-10}+9z^{2}+2az+5za^{-1}+3za^{-3}-za^{-5}-za^{-7}+1$