K12n861

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{10}+3q^{9}-7q^{8}+11q^{7}-14q^{6}+16q^{5}-15q^{4}+13q^{3}-9q^{2}+5q-1$
Alexander polynomial	$2t^{3}-9t^{2}+22t-29+22t^{-1}-9t^{-2}+2t^{-3}$
Conway polynomial	$2z^{6}+3z^{4}+4z^{2}+1$
Determinant	95
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-4}+z^{6}a^{-6}-z^{4}a^{-2}+2z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}+z^{2}a^{-4}+5z^{2}a^{-6}-2z^{2}a^{-8}+a^{-2}-a^{-4}+3a^{-6}-2a^{-8}$
Kauffman polynomial	$2z^{10}a^{-6}+2z^{10}a^{-8}+5z^{9}a^{-5}+9z^{9}a^{-7}+4z^{9}a^{-9}+5z^{8}a^{-4}+3z^{8}a^{-6}+z^{8}a^{-8}+3z^{8}a^{-10}+2z^{7}a^{-3}-10z^{7}a^{-5}-25z^{7}a^{-7}-12z^{7}a^{-9}+z^{7}a^{-11}-9z^{6}a^{-4}-15z^{6}a^{-6}-17z^{6}a^{-8}-11z^{6}a^{-10}+2z^{5}a^{-3}+8z^{5}a^{-5}+17z^{5}a^{-7}+7z^{5}a^{-9}-4z^{5}a^{-11}+5z^{4}a^{-2}+9z^{4}a^{-4}+4z^{4}a^{-6}+12z^{4}a^{-8}+12z^{4}a^{-10}+z^{3}a^{-1}-4z^{3}a^{-5}-7z^{3}a^{-7}+z^{3}a^{-9}+5z^{3}a^{-11}-z^{2}a^{-2}-z^{2}a^{-4}+6z^{2}a^{-6}+2z^{2}a^{-8}-4z^{2}a^{-10}+2za^{-7}-2za^{-11}-a^{-2}-a^{-4}-3a^{-6}-2a^{-8}$