K12n542

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+5q-10+15q^{-1}-18q^{-2}+20q^{-3}-18q^{-4}+14q^{-5}-9q^{-6}+4q^{-7}-q^{-8}$
Alexander polynomial	$t^{3}-9t^{2}+28t-39+28t^{-1}-9t^{-2}+t^{-3}$
Conway polynomial	$z^{6}-3z^{4}+z^{2}+1$
Determinant	115
Signature	-2
HOMFLY-PT polynomial	$-a^{8}+4z^{2}a^{6}+3a^{6}-4z^{4}a^{4}-7z^{2}a^{4}-4a^{4}+z^{6}a^{2}+2z^{4}a^{2}+4z^{2}a^{2}+3a^{2}-z^{4}$
Kauffman polynomial	$a^{6}z^{10}+a^{4}z^{10}+a^{7}z^{9}+6a^{5}z^{9}+5a^{3}z^{9}+2a^{6}z^{8}+12a^{4}z^{8}+10a^{2}z^{8}+a^{7}z^{7}-4a^{5}z^{7}+5a^{3}z^{7}+10az^{7}+4a^{8}z^{6}+2a^{6}z^{6}-19a^{4}z^{6}-12a^{2}z^{6}+5z^{6}+a^{9}z^{5}+2a^{7}z^{5}-4a^{5}z^{5}-21a^{3}z^{5}-15az^{5}+z^{5}a^{-1}-6a^{8}z^{4}-9a^{6}z^{4}-2a^{4}z^{4}-4a^{2}z^{4}-5z^{4}-2a^{9}z^{3}-5a^{7}z^{3}+4a^{5}z^{3}+10a^{3}z^{3}+3az^{3}+2a^{8}z^{2}+9a^{6}z^{2}+14a^{4}z^{2}+7a^{2}z^{2}+a^{9}z+a^{7}z-a^{8}-3a^{6}-4a^{4}-3a^{2}$