K12a211

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{7}+3q^{6}-8q^{5}+14q^{4}-20q^{3}+25q^{2}-26q+26-20q^{-1}+14q^{-2}-8q^{-3}+3q^{-4}-q^{-5}$
Alexander 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 2 t^4-8 t^3+20 t^2-34 t+41-34 t^{-1} +20 t^{-2} -8 t^{-3} +2 t^{-4} }
Conway polynomial	$2z^{8}+8z^{6}+12z^{4}+6z^{2}+1$
Determinant	169
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+5z^{6}a^{-2}-z^{6}a^{-4}+5z^{6}-4a^{2}z^{4}+10z^{4}a^{-2}-4z^{4}a^{-4}+10z^{4}-6a^{2}z^{2}+9z^{2}a^{-2}-6z^{2}a^{-4}+9z^{2}-3a^{2}+3a^{-2}-3a^{-4}+4$
Kauffman polynomial	$z^{11}a^{-1}+z^{11}a^{-3}+8z^{10}a^{-2}+4z^{10}a^{-4}+4z^{10}+7az^{9}+14z^{9}a^{-1}+12z^{9}a^{-3}+5z^{9}a^{-5}+8a^{2}z^{8}-9z^{8}a^{-2}-5z^{8}a^{-4}+3z^{8}a^{-6}+7z^{8}+6a^{3}z^{7}-4az^{7}-35z^{7}a^{-1}-41z^{7}a^{-3}-15z^{7}a^{-5}+z^{7}a^{-7}+3a^{4}z^{6}-12a^{2}z^{6}-9z^{6}a^{-2}-7z^{6}a^{-4}-10z^{6}a^{-6}-27z^{6}+a^{5}z^{5}-9a^{3}z^{5}-8az^{5}+29z^{5}a^{-1}+45z^{5}a^{-3}+14z^{5}a^{-5}-4z^{5}a^{-7}-4a^{4}z^{4}+12a^{2}z^{4}+6z^{4}a^{-2}+5z^{4}a^{-4}+10z^{4}a^{-6}+27z^{4}-2a^{5}z^{3}+7a^{3}z^{3}+14az^{3}-12z^{3}a^{-1}-29z^{3}a^{-3}-7z^{3}a^{-5}+5z^{3}a^{-7}+a^{4}z^{2}-8a^{2}z^{2}+4z^{2}a^{-2}+4z^{2}a^{-4}-3z^{2}a^{-6}-12z^{2}+a^{5}z-3a^{3}z-6az+2za^{-1}+9za^{-3}+3za^{-5}-2za^{-7}+3a^{2}-3a^{-2}-3a^{-4}+4$