K12a1085

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{9}-3q^{8}+8q^{7}-15q^{6}+22q^{5}-28q^{4}+30q^{3}-28q^{2}+23q-16+9q^{-1}-3q^{-2}+q^{-3}$
Alexander polynomial	$2t^{3}-17t^{2}+45t-59+45t^{-1}-17t^{-2}+2t^{-3}$
Conway 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 2 z^6-5 z^4-5 z^2+1}
Determinant	187
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-2}+z^{6}a^{-4}-z^{4}a^{-2}-2z^{4}a^{-6}-2z^{4}+a^{2}z^{2}-4z^{2}a^{-2}-2z^{2}a^{-6}+z^{2}a^{-8}-z^{2}+a^{2}-2a^{-2}+a^{-4}-a^{-6}+a^{-8}+1$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+5z^{10}a^{-2}+11z^{10}a^{-4}+6z^{10}a^{-6}+7z^{9}a^{-1}+9z^{9}a^{-3}+10z^{9}a^{-5}+8z^{9}a^{-7}+z^{8}a^{-2}-19z^{8}a^{-4}-8z^{8}a^{-6}+6z^{8}a^{-8}+6z^{8}+3az^{7}-10z^{7}a^{-1}-21z^{7}a^{-3}-32z^{7}a^{-5}-21z^{7}a^{-7}+3z^{7}a^{-9}+a^{2}z^{6}-18z^{6}a^{-2}+10z^{6}a^{-4}-z^{6}a^{-6}-15z^{6}a^{-8}+z^{6}a^{-10}-12z^{6}-6az^{5}+3z^{5}a^{-1}+12z^{5}a^{-3}+37z^{5}a^{-5}+27z^{5}a^{-7}-7z^{5}a^{-9}-3a^{2}z^{4}+20z^{4}a^{-2}+3z^{4}a^{-4}+12z^{4}a^{-6}+14z^{4}a^{-8}-3z^{4}a^{-10}+9z^{4}+3az^{3}-3z^{3}a^{-1}-16z^{3}a^{-5}-19z^{3}a^{-7}+3z^{3}a^{-9}+3a^{2}z^{2}-12z^{2}a^{-2}-2z^{2}a^{-4}-8z^{2}a^{-6}-8z^{2}a^{-8}+2z^{2}a^{-10}-5z^{2}-za^{-3}+3za^{-5}+4za^{-7}-a^{2}+2a^{-2}+a^{-4}+a^{-6}+a^{-8}+1$