K12a1132

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+3q^{3}-6q^{2}+11q-15+19q^{-1}-20q^{-2}+19q^{-3}-16q^{-4}+11q^{-5}-6q^{-6}+3q^{-7}-q^{-8}$
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 4 t^3-16 t^2+29 t-33+29 t^{-1} -16 t^{-2} +4 t^{-3} }
Conway polynomial	$4z^{6}+8z^{4}+z^{2}+1$
Determinant	131
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{6}-2z^{2}a^{6}+z^{6}a^{4}+2z^{4}a^{4}-a^{4}+2z^{6}a^{2}+6z^{4}a^{2}+5z^{2}a^{2}+2a^{2}+z^{6}+2z^{4}-z^{4}a^{-2}-2z^{2}a^{-2}$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+3a^{4}z^{10}+6a^{2}z^{10}+3z^{10}+5a^{5}z^{9}+5a^{3}z^{9}+4az^{9}+4z^{9}a^{-1}+6a^{6}z^{8}-a^{4}z^{8}-17a^{2}z^{8}+3z^{8}a^{-2}-7z^{8}+5a^{7}z^{7}-7a^{5}z^{7}-14a^{3}z^{7}-17az^{7}-14z^{7}a^{-1}+z^{7}a^{-3}+3a^{8}z^{6}-12a^{6}z^{6}-3a^{4}z^{6}+29a^{2}z^{6}-12z^{6}a^{-2}+5z^{6}+a^{9}z^{5}-10a^{7}z^{5}+2a^{5}z^{5}+15a^{3}z^{5}+21az^{5}+15z^{5}a^{-1}-4z^{5}a^{-3}-6a^{8}z^{4}+11a^{6}z^{4}+3a^{4}z^{4}-35a^{2}z^{4}+14z^{4}a^{-2}-7z^{4}-2a^{9}z^{3}+7a^{7}z^{3}+8a^{5}z^{3}-8a^{3}z^{3}-18az^{3}-7z^{3}a^{-1}+4z^{3}a^{-3}+2a^{8}z^{2}-2a^{6}z^{2}+3a^{4}z^{2}+15a^{2}z^{2}-4z^{2}a^{-2}+4z^{2}-2a^{7}z-3a^{5}z+a^{3}z+4az+2za^{-1}-a^{4}-2a^{2}$