K12a720

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+3-5q^{-1}+9q^{-2}-12q^{-3}+16q^{-4}-17q^{-5}+16q^{-6}-14q^{-7}+10q^{-8}-6q^{-9}+3q^{-10}-q^{-11}$
Alexander polynomial	$2t^{4}-8t^{3}+16t^{2}-20t+21-20t^{-1}+16t^{-2}-8t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+8z^{6}+8z^{4}+4z^{2}+1$
Determinant	113
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^6 a^8-4 z^4 a^8-4 z^2 a^8-a^8+z^8 a^6+5 z^6 a^6+8 z^4 a^6+5 z^2 a^6+z^8 a^4+5 z^6 a^4+8 z^4 a^4+6 z^2 a^4+2 a^4-z^6 a^2-4 z^4 a^2-3 z^2 a^2}
Kauffman polynomial	$z^{5}a^{13}-2z^{3}a^{13}+za^{13}+3z^{6}a^{12}-6z^{4}a^{12}+3z^{2}a^{12}+4z^{7}a^{11}-5z^{5}a^{11}-z^{3}a^{11}+za^{11}+4z^{8}a^{10}-3z^{6}a^{10}-3z^{4}a^{10}+z^{2}a^{10}+4z^{9}a^{9}-7z^{7}a^{9}+10z^{5}a^{9}-9z^{3}a^{9}+2za^{9}+3z^{10}a^{8}-6z^{8}a^{8}+9z^{6}a^{8}-7z^{4}a^{8}+4z^{2}a^{8}-a^{8}+z^{11}a^{7}+4z^{9}a^{7}-21z^{7}a^{7}+34z^{5}a^{7}-18z^{3}a^{7}+2za^{7}+6z^{10}a^{6}-21z^{8}a^{6}+26z^{6}a^{6}-12z^{4}a^{6}+3z^{2}a^{6}+z^{11}a^{5}+4z^{9}a^{5}-27z^{7}a^{5}+39z^{5}a^{5}-18z^{3}a^{5}+za^{5}+3z^{10}a^{4}-8z^{8}a^{4}-2z^{6}a^{4}+13z^{4}a^{4}-9z^{2}a^{4}+2a^{4}+4z^{9}a^{3}-16z^{7}a^{3}+17z^{5}a^{3}-7z^{3}a^{3}+za^{3}+3z^{8}a^{2}-13z^{6}a^{2}+15z^{4}a^{2}-6z^{2}a^{2}+z^{7}a-4z^{5}a+3z^{3}a$