K12a1099

Dowker-Thistlethwaite code

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

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+4-9 q^{-1} +17 q^{-2} -25 q^{-3} +32 q^{-4} -34 q^{-5} +33 q^{-6} -27 q^{-7} +19 q^{-8} -11 q^{-9} +4 q^{-10} - q^{-11} }
Alexander polynomial	$2t^{4}-10t^{3}+27t^{2}-44t+51-44t^{-1}+27t^{-2}-10t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+6z^{6}+7z^{4}+6z^{2}+1$
Determinant	217
Signature	-4
HOMFLY-PT polynomial	$-z^{6}a^{8}-3z^{4}a^{8}-4z^{2}a^{8}-3a^{8}+z^{8}a^{6}+4z^{6}a^{6}+7z^{4}a^{6}+8z^{2}a^{6}+4a^{6}+z^{8}a^{4}+4z^{6}a^{4}+6z^{4}a^{4}+4z^{2}a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
Kauffman polynomial	$z^{5}a^{13}-z^{3}a^{13}+4z^{6}a^{12}-3z^{4}a^{12}+10z^{7}a^{11}-14z^{5}a^{11}+10z^{3}a^{11}-4za^{11}+15z^{8}a^{10}-24z^{6}a^{10}+16z^{4}a^{10}-4z^{2}a^{10}+15z^{9}a^{9}-22z^{7}a^{9}+9z^{5}a^{9}+z^{3}a^{9}+10z^{10}a^{8}-8z^{8}a^{8}-4z^{6}a^{8}-4z^{4}a^{8}+10z^{2}a^{8}-3a^{8}+3z^{11}a^{7}+17z^{9}a^{7}-55z^{7}a^{7}+58z^{5}a^{7}-33z^{3}a^{7}+8za^{7}+17z^{10}a^{6}-42z^{8}a^{6}+41z^{6}a^{6}-30z^{4}a^{6}+15z^{2}a^{6}-4a^{6}+3z^{11}a^{5}+9z^{9}a^{5}-45z^{7}a^{5}+56z^{5}a^{5}-32z^{3}a^{5}+6za^{5}+7z^{10}a^{4}-15z^{8}a^{4}+4z^{6}a^{4}+5z^{4}a^{4}-2z^{2}a^{4}+7z^{9}a^{3}-21z^{7}a^{3}+19z^{5}a^{3}-7z^{3}a^{3}+2za^{3}+4z^{8}a^{2}-13z^{6}a^{2}+12z^{4}a^{2}-3z^{2}a^{2}+z^{7}a-3z^{5}a+2z^{3}a$