K12a1016

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-4q^{5}+9q^{4}-15q^{3}+22q^{2}-26q+28-26q^{-1}+20q^{-2}-14q^{-3}+8q^{-4}-3q^{-5}+q^{-6}$
Alexander polynomial	$-4t^{3}+18t^{2}-40t+53-40t^{-1}+18t^{-2}-4t^{-3}$
Conway polynomial	$-4z^{6}-6z^{4}-4z^{2}+1$
Determinant	177
Signature	0
HOMFLY-PT polynomial	$-a^{2}z^{6}-z^{6}a^{-2}-2z^{6}+a^{4}z^{4}-2a^{2}z^{4}-z^{4}a^{-2}+z^{4}a^{-4}-5z^{4}+2a^{4}z^{2}-3a^{2}z^{2}+z^{2}a^{-2}+z^{2}a^{-4}-5z^{2}+2a^{4}-2a^{2}+2a^{-2}-1$
Kauffman polynomial	$2az^{11}+2z^{11}a^{-1}+5a^{2}z^{10}+6z^{10}a^{-2}+11z^{10}+7a^{3}z^{9}+7az^{9}+9z^{9}a^{-1}+9z^{9}a^{-3}+6a^{4}z^{8}-5a^{2}z^{8}-7z^{8}a^{-2}+8z^{8}a^{-4}-26z^{8}+3a^{5}z^{7}-17a^{3}z^{7}-26az^{7}-32z^{7}a^{-1}-22z^{7}a^{-3}+4z^{7}a^{-5}+a^{6}z^{6}-16a^{4}z^{6}-7a^{2}z^{6}-6z^{6}a^{-2}-21z^{6}a^{-4}+z^{6}a^{-6}+26z^{6}-7a^{5}z^{5}+19a^{3}z^{5}+36az^{5}+37z^{5}a^{-1}+18z^{5}a^{-3}-9z^{5}a^{-5}-3a^{6}z^{4}+16a^{4}z^{4}+19a^{2}z^{4}+11z^{4}a^{-2}+16z^{4}a^{-4}-2z^{4}a^{-6}-7z^{4}+3a^{5}z^{3}-15a^{3}z^{3}-23az^{3}-15z^{3}a^{-1}-7z^{3}a^{-3}+3z^{3}a^{-5}+2a^{6}z^{2}-10a^{4}z^{2}-15a^{2}z^{2}-z^{2}a^{-2}-5z^{2}a^{-4}+z^{2}+5a^{3}z+7az+3za^{-1}+za^{-3}+2a^{4}+2a^{2}-2a^{-2}-1$