K12a217

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{5}+4q^{4}-9q^{3}+17q^{2}-24q+29-31q^{-1}+29q^{-2}-23q^{-3}+16q^{-4}-9q^{-5}+4q^{-6}-q^{-7}$
Alexander polynomial	$t^{4}-7t^{3}+22t^{2}-42t+53-42t^{-1}+22t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	$z^{8}+z^{6}-z^{2}+1$
Determinant	197
Signature	0
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^8-3 a^2 z^6-z^6 a^{-2} +5 z^6+3 a^4 z^4-11 a^2 z^4-3 z^4 a^{-2} +11 z^4-a^6 z^2+7 a^4 z^2-14 a^2 z^2-3 z^2 a^{-2} +10 z^2-a^6+4 a^4-5 a^2+3}
Kauffman polynomial	$a^{3}z^{11}+az^{11}+4a^{4}z^{10}+9a^{2}z^{10}+5z^{10}+6a^{5}z^{9}+17a^{3}z^{9}+21az^{9}+10z^{9}a^{-1}+4a^{6}z^{8}+4a^{4}z^{8}+3a^{2}z^{8}+11z^{8}a^{-2}+14z^{8}+a^{7}z^{7}-15a^{5}z^{7}-49a^{3}z^{7}-48az^{7}-7z^{7}a^{-1}+8z^{7}a^{-3}-13a^{6}z^{6}-40a^{4}z^{6}-58a^{2}z^{6}-14z^{6}a^{-2}+4z^{6}a^{-4}-49z^{6}-3a^{7}z^{5}+7a^{5}z^{5}+35a^{3}z^{5}+29az^{5}-7z^{5}a^{-1}-10z^{5}a^{-3}+z^{5}a^{-5}+14a^{6}z^{4}+50a^{4}z^{4}+71a^{2}z^{4}+7z^{4}a^{-2}-5z^{4}a^{-4}+47z^{4}+3a^{7}z^{3}+4a^{5}z^{3}-5a^{3}z^{3}-3az^{3}+9z^{3}a^{-1}+5z^{3}a^{-3}-z^{3}a^{-5}-6a^{6}z^{2}-23a^{4}z^{2}-33a^{2}z^{2}-z^{2}a^{-2}+2z^{2}a^{-4}-19z^{2}-a^{7}z-2a^{5}z-a^{3}z-2az-3za^{-1}-za^{-3}+a^{6}+4a^{4}+5a^{2}+3$