K12n830

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{12}-2q^{11}+2q^{10}-3q^{9}+3q^{8}-3q^{7}+2q^{6}-q^{5}+q^{4}+q^{3}$
Alexander polynomial	$2t^{2}-4t+5-4t^{-1}+2t^{-2}$
Conway polynomial	$2z^{4}+4z^{2}+1$
Determinant	17
Signature	4
HOMFLY-PT polynomial	$z^{6}a^{-6}-z^{6}a^{-8}+7z^{4}a^{-6}-6z^{4}a^{-8}+z^{4}a^{-10}+13z^{2}a^{-6}-12z^{2}a^{-8}+3z^{2}a^{-10}+6a^{-6}-7a^{-8}+2a^{-10}$
Kauffman polynomial	$-z^{8}a^{-8}+z^{8}a^{-12}-z^{7}a^{-7}-z^{7}a^{-9}+2z^{7}a^{-11}+2z^{7}a^{-13}+z^{6}a^{-6}+7z^{6}a^{-8}+2z^{6}a^{-10}-3z^{6}a^{-12}+z^{6}a^{-14}+6z^{5}a^{-7}+8z^{5}a^{-9}-7z^{5}a^{-11}-9z^{5}a^{-13}-7z^{4}a^{-6}-16z^{4}a^{-8}-5z^{4}a^{-10}-4z^{4}a^{-14}-10z^{3}a^{-7}-14z^{3}a^{-9}+6z^{3}a^{-11}+10z^{3}a^{-13}+14z^{2}a^{-6}+18z^{2}a^{-8}+3z^{2}a^{-10}+2z^{2}a^{-12}+3z^{2}a^{-14}+6za^{-7}+6za^{-9}-2za^{-11}-2za^{-13}-6a^{-6}-7a^{-8}-2a^{-10}$