K12a1202

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-3q^{5}+8q^{4}-14q^{3}+20q^{2}-25q+27-25q^{-1}+20q^{-2}-14q^{-3}+8q^{-4}-3q^{-5}+q^{-6}$
Alexander polynomial	$9t^{2}-42t+67-42t^{-1}+9t^{-2}$
Conway polynomial	$9z^{4}-6z^{2}+1$
Determinant	169
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 a^6-3 z^2 a^4+2 z^4 a^2-3 z^2 a^2-3 a^2+5 z^4+6 z^2+5+2 z^4 a^{-2} -3 z^2 a^{-2} -3 a^{-2} -3 z^2 a^{-4} + a^{-6} }
Kauffman polynomial	$2az^{11}+2z^{11}a^{-1}+6a^{2}z^{10}+6z^{10}a^{-2}+12z^{10}+7a^{3}z^{9}+11az^{9}+11z^{9}a^{-1}+7z^{9}a^{-3}+5a^{4}z^{8}-11a^{2}z^{8}-11z^{8}a^{-2}+5z^{8}a^{-4}-32z^{8}+3a^{5}z^{7}-17a^{3}z^{7}-56az^{7}-56z^{7}a^{-1}-17z^{7}a^{-3}+3z^{7}a^{-5}+a^{6}z^{6}-9a^{4}z^{6}-9z^{6}a^{-4}+z^{6}a^{-6}+20z^{6}-7a^{5}z^{5}+18a^{3}z^{5}+93az^{5}+93z^{5}a^{-1}+18z^{5}a^{-3}-7z^{5}a^{-5}-3a^{6}z^{4}+17a^{2}z^{4}+17z^{4}a^{-2}-3z^{4}a^{-6}+28z^{4}+3a^{5}z^{3}-18a^{3}z^{3}-57az^{3}-57z^{3}a^{-1}-18z^{3}a^{-3}+3z^{3}a^{-5}+3a^{6}z^{2}-15a^{2}z^{2}-15z^{2}a^{-2}+3z^{2}a^{-6}-24z^{2}+6a^{3}z+12az+12za^{-1}+6za^{-3}-a^{6}+3a^{2}+3a^{-2}-a^{-6}+5$