K12n307

Dowker-Thistlethwaite code

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

Jones polynomial	$-2q^{3}+5q^{2}-8q+11-12q^{-1}+13q^{-2}-10q^{-3}+8q^{-4}-5q^{-5}+2q^{-6}-q^{-7}$
Alexander polynomial	$6t^{2}-19t+27-19t^{-1}+6t^{-2}$
Conway polynomial	$6z^{4}+5z^{2}+1$
Determinant	77
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{6}-a^{6}+z^{4}a^{4}-a^{4}+3z^{4}a^{2}+6z^{2}a^{2}+4a^{2}+2z^{4}+2z^{2}-2z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	$a^{4}z^{10}+a^{2}z^{10}+2a^{5}z^{9}+5a^{3}z^{9}+3az^{9}+2a^{6}z^{8}+a^{4}z^{8}+3a^{2}z^{8}+4z^{8}+a^{7}z^{7}-5a^{5}z^{7}-14a^{3}z^{7}-5az^{7}+3z^{7}a^{-1}-8a^{6}z^{6}-9a^{4}z^{6}-9a^{2}z^{6}+z^{6}a^{-2}-7z^{6}-5a^{7}z^{5}-a^{5}z^{5}+14a^{3}z^{5}+8az^{5}-2z^{5}a^{-1}+9a^{6}z^{4}+4a^{4}z^{4}+4z^{4}a^{-2}+9z^{4}+8a^{7}z^{3}+6a^{5}z^{3}-14a^{3}z^{3}-12az^{3}+3z^{3}a^{-1}+3z^{3}a^{-3}-3a^{6}z^{2}+3a^{4}z^{2}+6a^{2}z^{2}-4z^{2}a^{-2}-4z^{2}-4a^{7}z-2a^{5}z+6a^{3}z+5az-za^{-1}-2za^{-3}+a^{6}-a^{4}-4a^{2}+a^{-2}$