K12a430

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+4-10q^{-1}+19q^{-2}-26q^{-3}+33q^{-4}-35q^{-5}+33q^{-6}-27q^{-7}+18q^{-8}-10q^{-9}+4q^{-10}-q^{-11}$
Alexander polynomial	$2t^{4}-10t^{3}+27t^{2}-45t+53-45t^{-1}+27t^{-2}-10t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+6z^{6}+7z^{4}+5z^{2}+1$
Determinant	221
Signature	-4
HOMFLY-PT polynomial	$-z^{6}a^{8}-3z^{4}a^{8}-3z^{2}a^{8}-a^{8}+z^{8}a^{6}+4z^{6}a^{6}+6z^{4}a^{6}+3z^{2}a^{6}-a^{6}+z^{8}a^{4}+4z^{6}a^{4}+7z^{4}a^{4}+8z^{2}a^{4}+4a^{4}-z^{6}a^{2}-3z^{4}a^{2}-3z^{2}a^{2}-a^{2}$
Kauffman polynomial	$z^{5}a^{13}-z^{3}a^{13}+4z^{6}a^{12}-4z^{4}a^{12}+z^{2}a^{12}+9z^{7}a^{11}-12z^{5}a^{11}+8z^{3}a^{11}-2za^{11}+13z^{8}a^{10}-18z^{6}a^{10}+12z^{4}a^{10}-3z^{2}a^{10}+13z^{9}a^{9}-14z^{7}a^{9}+z^{5}a^{9}+4z^{3}a^{9}+8z^{10}a^{8}+5z^{8}a^{8}-31z^{6}a^{8}+22z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{11}a^{7}+23z^{9}a^{7}-58z^{7}a^{7}+41z^{5}a^{7}-12z^{3}a^{7}+za^{7}+14z^{10}a^{6}-15z^{8}a^{6}-23z^{6}a^{6}+26z^{4}a^{6}-7z^{2}a^{6}+a^{6}+2z^{11}a^{5}+17z^{9}a^{5}-53z^{7}a^{5}+39z^{5}a^{5}-7z^{3}a^{5}-2za^{5}+6z^{10}a^{4}-3z^{8}a^{4}-26z^{6}a^{4}+33z^{4}a^{4}-15z^{2}a^{4}+4a^{4}+7z^{9}a^{3}-17z^{7}a^{3}+9z^{5}a^{3}+3z^{3}a^{3}-2za^{3}+4z^{8}a^{2}-12z^{6}a^{2}+13z^{4}a^{2}-6z^{2}a^{2}+a^{2}+z^{7}a-3z^{5}a+3z^{3}a-za$