K12a632

Dowker-Thistlethwaite code

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

Jones 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 q^8-4 q^7+8 q^6-13 q^5+18 q^4-21 q^3+23 q^2-21 q+17-12 q^{-1} +7 q^{-2} -3 q^{-3} + q^{-4} }
Alexander polynomial	$-4t^{3}+17t^{2}-33t+41-33t^{-1}+17t^{-2}-4t^{-3}$
Conway polynomial	$-4z^{6}-7z^{4}-z^{2}+1$
Determinant	149
Signature	0
HOMFLY-PT polynomial	$-2z^{6}a^{-2}-z^{6}a^{-4}-z^{6}+a^{2}z^{4}-6z^{4}a^{-2}-z^{4}a^{-4}+z^{4}a^{-6}-2z^{4}+2a^{2}z^{2}-6z^{2}a^{-2}+3z^{2}a^{-4}+z^{2}a^{-6}-z^{2}+a^{2}-2a^{-2}+3a^{-4}-a^{-6}$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+6z^{10}a^{-2}+11z^{10}a^{-4}+5z^{10}a^{-6}+9z^{9}a^{-1}+9z^{9}a^{-3}+4z^{9}a^{-5}+4z^{9}a^{-7}-6z^{8}a^{-2}-36z^{8}a^{-4}-19z^{8}a^{-6}+z^{8}a^{-8}+10z^{8}+9az^{7}-14z^{7}a^{-1}-46z^{7}a^{-3}-41z^{7}a^{-5}-18z^{7}a^{-7}+6a^{2}z^{6}-15z^{6}a^{-2}+27z^{6}a^{-4}+17z^{6}a^{-6}-4z^{6}a^{-8}-15z^{6}+3a^{3}z^{5}-13az^{5}+52z^{5}a^{-3}+61z^{5}a^{-5}+25z^{5}a^{-7}+a^{4}z^{4}-6a^{2}z^{4}+17z^{4}a^{-2}+2z^{4}a^{-4}+2z^{4}a^{-6}+5z^{4}a^{-8}+5z^{4}-2a^{3}z^{3}+10az^{3}+3z^{3}a^{-1}-26z^{3}a^{-3}-28z^{3}a^{-5}-11z^{3}a^{-7}-a^{4}z^{2}+4a^{2}z^{2}-10z^{2}a^{-2}-8z^{2}a^{-4}-3z^{2}a^{-6}-2z^{2}a^{-8}+2z^{2}-2az-za^{-1}+4za^{-3}+4za^{-5}+za^{-7}-a^{2}+2a^{-2}+3a^{-4}+a^{-6}$