K12a1081

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-4q^{5}+10q^{4}-18q^{3}+26q^{2}-32q+35-32q^{-1}+26q^{-2}-18q^{-3}+10q^{-4}-4q^{-5}+q^{-6}$
Alexander polynomial	$t^{4}-8t^{3}+25t^{2}-46t+57-46t^{-1}+25t^{-2}-8t^{-3}+t^{-4}$
Conway polynomial	$z^{8}-3z^{4}-2z^{2}+1$
Determinant	217
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^8-2 a^2 z^6-2 z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +7 z^4+2 a^4 z^2-6 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3}
Kauffman polynomial	$3az^{11}+3z^{11}a^{-1}+9a^{2}z^{10}+8z^{10}a^{-2}+17z^{10}+11a^{3}z^{9}+15az^{9}+14z^{9}a^{-1}+10z^{9}a^{-3}+8a^{4}z^{8}-14a^{2}z^{8}-7z^{8}a^{-2}+8z^{8}a^{-4}-37z^{8}+4a^{5}z^{7}-25a^{3}z^{7}-59az^{7}-52z^{7}a^{-1}-18z^{7}a^{-3}+4z^{7}a^{-5}+a^{6}z^{6}-16a^{4}z^{6}+a^{2}z^{6}-14z^{6}a^{-2}-16z^{6}a^{-4}+z^{6}a^{-6}+21z^{6}-8a^{5}z^{5}+23a^{3}z^{5}+77az^{5}+62z^{5}a^{-1}+8z^{5}a^{-3}-8z^{5}a^{-5}-2a^{6}z^{4}+8a^{4}z^{4}+13a^{2}z^{4}+24z^{4}a^{-2}+9z^{4}a^{-4}-2z^{4}a^{-6}+16z^{4}+3a^{5}z^{3}-15a^{3}z^{3}-38az^{3}-27z^{3}a^{-1}-3z^{3}a^{-3}+4z^{3}a^{-5}+a^{6}z^{2}-4a^{4}z^{2}-11a^{2}z^{2}-13z^{2}a^{-2}-5z^{2}a^{-4}+z^{2}a^{-6}-13z^{2}+3a^{3}z+6az+4za^{-1}-za^{-5}+a^{4}+2a^{2}+2a^{-2}+a^{-4}+3$