K12a396

Dowker-Thistlethwaite code

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

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^7+3 q^6-8 q^5+15 q^4-21 q^3+28 q^2-30 q+28-24 q^{-1} +17 q^{-2} -9 q^{-3} +4 q^{-4} - q^{-5} }
Alexander polynomial	$t^{4}-7t^{3}+22t^{2}-40t+49-40t^{-1}+22t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	$z^{8}+z^{6}+z^{2}+1$
Determinant	189
Signature	0
HOMFLY-PT polynomial	$z^{8}-a^{2}z^{6}-3z^{6}a^{-2}+5z^{6}-3a^{2}z^{4}-11z^{4}a^{-2}+3z^{4}a^{-4}+11z^{4}-3a^{2}z^{2}-13z^{2}a^{-2}+8z^{2}a^{-4}-z^{2}a^{-6}+10z^{2}-4a^{-2}+5a^{-4}-2a^{-6}+2$
Kauffman polynomial	$z^{11}a^{-1}+z^{11}a^{-3}+9z^{10}a^{-2}+4z^{10}a^{-4}+5z^{10}+10az^{9}+20z^{9}a^{-1}+15z^{9}a^{-3}+5z^{9}a^{-5}+11a^{2}z^{8}-4z^{8}a^{-2}-2z^{8}a^{-4}+3z^{8}a^{-6}+12z^{8}+8a^{3}z^{7}-8az^{7}-50z^{7}a^{-1}-49z^{7}a^{-3}-14z^{7}a^{-5}+z^{7}a^{-7}+4a^{4}z^{6}-14a^{2}z^{6}-34z^{6}a^{-2}-19z^{6}a^{-4}-10z^{6}a^{-6}-43z^{6}+a^{5}z^{5}-10a^{3}z^{5}-5az^{5}+41z^{5}a^{-1}+50z^{5}a^{-3}+11z^{5}a^{-5}-4z^{5}a^{-7}-5a^{4}z^{4}+6a^{2}z^{4}+43z^{4}a^{-2}+27z^{4}a^{-4}+11z^{4}a^{-6}+38z^{4}-a^{5}z^{3}+5a^{3}z^{3}+7az^{3}-14z^{3}a^{-1}-22z^{3}a^{-3}-2z^{3}a^{-5}+5z^{3}a^{-7}+2a^{4}z^{2}-19z^{2}a^{-2}-15z^{2}a^{-4}-6z^{2}a^{-6}-12z^{2}-a^{3}z-3az-za^{-1}+2za^{-3}-za^{-5}-2za^{-7}+4a^{-2}+5a^{-4}+2a^{-6}+2$