K12a411

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+4-8q^{-1}+13q^{-2}-18q^{-3}+23q^{-4}-23q^{-5}+22q^{-6}-18q^{-7}+12q^{-8}-7q^{-9}+3q^{-10}-q^{-11}$
Alexander polynomial	$2t^{4}-9t^{3}+21t^{2}-29t+31-29t^{-1}+21t^{-2}-9t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+7z^{6}+7z^{4}+6z^{2}+1$
Determinant	153
Signature	-4
HOMFLY-PT polynomial	$-z^{6}a^{8}-4z^{4}a^{8}-5z^{2}a^{8}-3a^{8}+z^{8}a^{6}+5z^{6}a^{6}+10z^{4}a^{6}+11z^{2}a^{6}+4a^{6}+z^{8}a^{4}+4z^{6}a^{4}+4z^{4}a^{4}+z^{2}a^{4}-z^{6}a^{2}-3z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	$z^{5}a^{13}-2z^{3}a^{13}+za^{13}+3z^{6}a^{12}-5z^{4}a^{12}+2z^{2}a^{12}+5z^{7}a^{11}-7z^{5}a^{11}+3z^{3}a^{11}-za^{11}+6z^{8}a^{10}-7z^{6}a^{10}+2z^{4}a^{10}+6z^{9}a^{9}-8z^{7}a^{9}+6z^{5}a^{9}-4z^{3}a^{9}+2za^{9}+5z^{10}a^{8}-9z^{8}a^{8}+14z^{6}a^{8}-17z^{4}a^{8}+11z^{2}a^{8}-3a^{8}+2z^{11}a^{7}+5z^{9}a^{7}-26z^{7}a^{7}+39z^{5}a^{7}-25z^{3}a^{7}+6za^{7}+11z^{10}a^{6}-37z^{8}a^{6}+49z^{6}a^{6}-34z^{4}a^{6}+14z^{2}a^{6}-4a^{6}+2z^{11}a^{5}+6z^{9}a^{5}-40z^{7}a^{5}+54z^{5}a^{5}-25z^{3}a^{5}+3za^{5}+6z^{10}a^{4}-18z^{8}a^{4}+11z^{6}a^{4}+z^{4}a^{4}-z^{2}a^{4}+7z^{9}a^{3}-26z^{7}a^{3}+26z^{5}a^{3}-8z^{3}a^{3}+za^{3}+4z^{8}a^{2}-14z^{6}a^{2}+11z^{4}a^{2}-2z^{2}a^{2}+z^{7}a-3z^{5}a+z^{3}a$