K12a12

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+4q-8+15q^{-1}-21q^{-2}+25q^{-3}-26q^{-4}+24q^{-5}-19q^{-6}+13q^{-7}-7q^{-8}+3q^{-9}-q^{-10}$
Alexander polynomial	$2t^{3}-14t^{2}+40t-55+40t^{-1}-14t^{-2}+2t^{-3}$
Conway polynomial	$2z^{6}-2z^{4}+2z^{2}+1$
Determinant	167
Signature	-2
HOMFLY-PT polynomial	$-a^{10}+3z^{2}a^{8}+2a^{8}-3z^{4}a^{6}-3z^{2}a^{6}-a^{6}+z^{6}a^{4}-z^{2}a^{4}-a^{4}+z^{6}a^{2}+2z^{4}a^{2}+4z^{2}a^{2}+2a^{2}-z^{4}-z^{2}$
Kauffman polynomial	$z^{7}a^{11}-4z^{5}a^{11}+5z^{3}a^{11}-2za^{11}+3z^{8}a^{10}-11z^{6}a^{10}+13z^{4}a^{10}-6z^{2}a^{10}+a^{10}+4z^{9}a^{9}-10z^{7}a^{9}+3z^{5}a^{9}+5z^{3}a^{9}-2za^{9}+3z^{10}a^{8}-20z^{6}a^{8}+26z^{4}a^{8}-12z^{2}a^{8}+2a^{8}+z^{11}a^{7}+9z^{9}a^{7}-27z^{7}a^{7}+19z^{5}a^{7}-3z^{3}a^{7}-za^{7}+7z^{10}a^{6}-5z^{8}a^{6}-17z^{6}a^{6}+20z^{4}a^{6}-8z^{2}a^{6}+a^{6}+z^{11}a^{5}+12z^{9}a^{5}-24z^{7}a^{5}+9z^{5}a^{5}+4z^{3}a^{5}-3za^{5}+4z^{10}a^{4}+6z^{8}a^{4}-17z^{6}a^{4}+5z^{4}a^{4}+4z^{2}a^{4}-a^{4}+7z^{9}a^{3}-z^{7}a^{3}-13z^{5}a^{3}+12z^{3}a^{3}-3za^{3}+8z^{8}a^{2}-5z^{6}a^{2}-8z^{4}a^{2}+9z^{2}a^{2}-2a^{2}+7z^{7}a-9z^{5}a+4z^{3}a-za+4z^{6}-6z^{4}+3z^{2}+z^{5}a^{-1}-z^{3}a^{-1}$