K12a1222

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-4q^{5}+9q^{4}-17q^{3}+25q^{2}-30q+33-30q^{-1}+25q^{-2}-17q^{-3}+9q^{-4}-4q^{-5}+q^{-6}$
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 -t^5+5 t^4-13 t^3+25 t^2-37 t+43-37 t^{-1} +25 t^{-2} -13 t^{-3} +5 t^{-4} - t^{-5} }
Conway polynomial	$-z^{10}-5z^{8}-8z^{6}-3z^{4}+z^{2}+1$
Determinant	205
Signature	0
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+z^{8}a^{-2}-7z^{8}+5a^{2}z^{6}+5z^{6}a^{-2}-18z^{6}+8a^{2}z^{4}+8z^{4}a^{-2}-19z^{4}+3a^{2}z^{2}+3z^{2}a^{-2}-5z^{2}-a^{2}-a^{-2}+3$
Kauffman polynomial	$3az^{11}+3z^{11}a^{-1}+7a^{2}z^{10}+8z^{10}a^{-2}+15z^{10}+8a^{3}z^{9}+6az^{9}+8z^{9}a^{-1}+10z^{9}a^{-3}+7a^{4}z^{8}-9a^{2}z^{8}-14z^{8}a^{-2}+8z^{8}a^{-4}-38z^{8}+4a^{5}z^{7}-10a^{3}z^{7}-16az^{7}-29z^{7}a^{-1}-23z^{7}a^{-3}+4z^{7}a^{-5}+a^{6}z^{6}-13a^{4}z^{6}+8a^{2}z^{6}+11z^{6}a^{-2}-19z^{6}a^{-4}+z^{6}a^{-6}+53z^{6}-9a^{5}z^{5}-5a^{3}z^{5}+11az^{5}+35z^{5}a^{-1}+19z^{5}a^{-3}-9z^{5}a^{-5}-2a^{6}z^{4}+5a^{4}z^{4}-12a^{2}z^{4}-5z^{4}a^{-2}+13z^{4}a^{-4}-2z^{4}a^{-6}-39z^{4}+6a^{5}z^{3}+10a^{3}z^{3}-3az^{3}-16z^{3}a^{-1}-5z^{3}a^{-3}+4z^{3}a^{-5}+a^{6}z^{2}+a^{4}z^{2}+4a^{2}z^{2}+z^{2}a^{-2}-2z^{2}a^{-4}+7z^{2}-a^{5}z-3a^{3}z-2az+a^{2}+a^{-2}+3$