K12a1030

Dowker-Thistlethwaite code

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

Jones polynomial	Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle -q^{6}+3q^{5}-6q^{4}+9q^{3}-11q^{2}+13q-13+12q^{-1}-9q^{-2}+7q^{-3}-4q^{-4}+2q^{-5}-q^{-6}}
Alexander polynomial	$4t^{3}-13t^{2}+19t-19+19t^{-1}-13t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+11z^{4}+3z^{2}+1$
Determinant	91
Signature	2
HOMFLY-PT polynomial	$a^{2}z^{6}+z^{6}a^{-2}+2z^{6}-a^{4}z^{4}+3a^{2}z^{4}+2z^{4}a^{-2}-z^{4}a^{-4}+8z^{4}-3a^{4}z^{2}+a^{2}z^{2}-2z^{2}a^{-2}-2z^{2}a^{-4}+9z^{2}-a^{4}-2a^{-2}+4$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+2a^{4}z^{10}+5a^{2}z^{10}+3z^{10}+a^{5}z^{9}-2a^{3}z^{9}+3az^{9}+6z^{9}a^{-1}-13a^{4}z^{8}-24a^{2}z^{8}+9z^{8}a^{-2}-2z^{8}-7a^{5}z^{7}-11a^{3}z^{7}-26az^{7}-12z^{7}a^{-1}+10z^{7}a^{-3}+29a^{4}z^{6}+33a^{2}z^{6}-21z^{6}a^{-2}+9z^{6}a^{-4}-26z^{6}+17a^{5}z^{5}+34a^{3}z^{5}+35az^{5}-7z^{5}a^{-1}-19z^{5}a^{-3}+6z^{5}a^{-5}-26a^{4}z^{4}-11a^{2}z^{4}+11z^{4}a^{-2}-13z^{4}a^{-4}+3z^{4}a^{-6}+42z^{4}-16a^{5}z^{3}-27a^{3}z^{3}-10az^{3}+13z^{3}a^{-1}+7z^{3}a^{-3}-4z^{3}a^{-5}+z^{3}a^{-7}+9a^{4}z^{2}-7z^{2}a^{-2}+5z^{2}a^{-4}-21z^{2}+4a^{5}z+6a^{3}z-4za^{-1}-za^{-3}+za^{-5}-a^{4}+2a^{-2}+4$