K12a56

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{14}-3q^{13}+5q^{12}-8q^{11}+10q^{10}-12q^{9}+13q^{8}-12q^{7}+10q^{6}-7q^{5}+5q^{4}-2q^{3}+q^{2}$
Alexander polynomial	$7t^{2}-22t+31-22t^{-1}+7t^{-2}$
Conway polynomial	$7z^{4}+6z^{2}+1$
Determinant	89
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^4 a^{-4} +2 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +3 z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} -3 z^2 a^{-12} + a^{-4} + a^{-6} - a^{-8} +2 a^{-10} -3 a^{-12} + a^{-14} }
Kauffman polynomial	$z^{11}a^{-11}+z^{11}a^{-13}+3z^{10}a^{-10}+6z^{10}a^{-12}+3z^{10}a^{-14}+3z^{9}a^{-9}+3z^{9}a^{-11}+3z^{9}a^{-13}+3z^{9}a^{-15}+3z^{8}a^{-8}-10z^{8}a^{-10}-27z^{8}a^{-12}-13z^{8}a^{-14}+z^{8}a^{-16}+3z^{7}a^{-7}-5z^{7}a^{-9}-26z^{7}a^{-11}-34z^{7}a^{-13}-16z^{7}a^{-15}+3z^{6}a^{-6}-2z^{6}a^{-8}+17z^{6}a^{-10}+39z^{6}a^{-12}+12z^{6}a^{-14}-5z^{6}a^{-16}+2z^{5}a^{-5}-z^{5}a^{-7}+3z^{5}a^{-9}+45z^{5}a^{-11}+65z^{5}a^{-13}+26z^{5}a^{-15}+z^{4}a^{-4}-3z^{4}a^{-6}-2z^{4}a^{-8}-22z^{4}a^{-10}-29z^{4}a^{-12}+2z^{4}a^{-14}+7z^{4}a^{-16}-2z^{3}a^{-5}-2z^{3}a^{-7}-4z^{3}a^{-9}-34z^{3}a^{-11}-46z^{3}a^{-13}-16z^{3}a^{-15}-2z^{2}a^{-4}+2z^{2}a^{-6}+3z^{2}a^{-8}+11z^{2}a^{-10}+14z^{2}a^{-12}-z^{2}a^{-14}-3z^{2}a^{-16}+2za^{-7}+2za^{-9}+8za^{-11}+12za^{-13}+4za^{-15}+a^{-4}-a^{-6}-a^{-8}-2a^{-10}-3a^{-12}-a^{-14}$