K12a1033

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+2q^{3}-4q^{2}+8q-11+15q^{-1}-16q^{-2}+16q^{-3}-14q^{-4}+10q^{-5}-6q^{-6}+3q^{-7}-q^{-8}$
Alexander polynomial	$4t^{3}-14t^{2}+23t-25+23t^{-1}-14t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+10z^{4}+3z^{2}+1$
Determinant	107
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{6}-2z^{2}a^{6}+z^{6}a^{4}+2z^{4}a^{4}-z^{2}a^{4}-2a^{4}+2z^{6}a^{2}+7z^{4}a^{2}+7z^{2}a^{2}+3a^{2}+z^{6}+3z^{4}+2z^{2}+1-z^{4}a^{-2}-3z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+3a^{4}z^{10}+5a^{2}z^{10}+2z^{10}+5a^{5}z^{9}+2a^{3}z^{9}-az^{9}+2z^{9}a^{-1}+6a^{6}z^{8}-6a^{4}z^{8}-21a^{2}z^{8}+2z^{8}a^{-2}-7z^{8}+5a^{7}z^{7}-12a^{5}z^{7}-12a^{3}z^{7}-2az^{7}-6z^{7}a^{-1}+z^{7}a^{-3}+3a^{8}z^{6}-15a^{6}z^{6}+7a^{4}z^{6}+46a^{2}z^{6}-9z^{6}a^{-2}+12z^{6}+a^{9}z^{5}-11a^{7}z^{5}+12a^{5}z^{5}+24a^{3}z^{5}+7az^{5}+2z^{5}a^{-1}-5z^{5}a^{-3}-6a^{8}z^{4}+15a^{6}z^{4}-3a^{4}z^{4}-51a^{2}z^{4}+12z^{4}a^{-2}-15z^{4}-2a^{9}z^{3}+7a^{7}z^{3}+a^{5}z^{3}-17a^{3}z^{3}-12az^{3}+4z^{3}a^{-1}+7z^{3}a^{-3}+a^{8}z^{2}-4a^{6}z^{2}+6a^{4}z^{2}+21a^{2}z^{2}-5z^{2}a^{-2}+5z^{2}-2a^{7}z-a^{5}z+3a^{3}z+2az-2za^{-1}-2za^{-3}-2a^{4}-3a^{2}+a^{-2}+1$