K12a680

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{9}-5q^{8}+11q^{7}-19q^{6}+26q^{5}-30q^{4}+32q^{3}-28q^{2}+22q-14+7q^{-1}-3q^{-2}+q^{-3}$
Alexander polynomial	$-2t^{4}+10t^{3}-24t^{2}+40t-47+40t^{-1}-24t^{-2}+10t^{-3}-2t^{-4}$
Conway polynomial	$-2z^{8}-6z^{6}-4z^{4}+2z^{2}+1$
Determinant	199
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-5z^{6}a^{-2}-3z^{6}a^{-4}+z^{6}a^{-6}+z^{6}-11z^{4}a^{-2}+z^{4}a^{-4}+2z^{4}a^{-6}+4z^{4}-12z^{2}a^{-2}+10z^{2}a^{-4}-z^{2}a^{-6}+5z^{2}-5a^{-2}+7a^{-4}-3a^{-6}+2$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+5z^{10}a^{-2}+12z^{10}a^{-4}+7z^{10}a^{-6}+6z^{9}a^{-1}+10z^{9}a^{-3}+15z^{9}a^{-5}+11z^{9}a^{-7}-3z^{8}a^{-2}-19z^{8}a^{-4}-z^{8}a^{-6}+10z^{8}a^{-8}+5z^{8}+3az^{7}-10z^{7}a^{-1}-30z^{7}a^{-3}-40z^{7}a^{-5}-18z^{7}a^{-7}+5z^{7}a^{-9}+a^{2}z^{6}-11z^{6}a^{-2}+z^{6}a^{-4}-21z^{6}a^{-6}-20z^{6}a^{-8}+z^{6}a^{-10}-11z^{6}-8az^{5}+3z^{5}a^{-1}+31z^{5}a^{-3}+31z^{5}a^{-5}+2z^{5}a^{-7}-9z^{5}a^{-9}-3a^{2}z^{4}+26z^{4}a^{-2}+24z^{4}a^{-4}+19z^{4}a^{-6}+9z^{4}a^{-8}-z^{4}a^{-10}+8z^{4}+6az^{3}+5z^{3}a^{-1}-5z^{3}a^{-3}-5z^{3}a^{-5}+2z^{3}a^{-7}+3z^{3}a^{-9}+2a^{2}z^{2}-19z^{2}a^{-2}-21z^{2}a^{-4}-10z^{2}a^{-6}-z^{2}a^{-8}-5z^{2}-2az-4za^{-1}-3za^{-3}-3za^{-5}-za^{-7}+za^{-9}+5a^{-2}+7a^{-4}+3a^{-6}+2$