K12a1055

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{5}+4q^{4}-9q^{3}+17q^{2}-25q+31-33q^{-1}+31q^{-2}-25q^{-3}+18q^{-4}-10q^{-5}+4q^{-6}-q^{-7}$
Alexander polynomial	$-2t^{3}+17t^{2}-50t+71-50t^{-1}+17t^{-2}-2t^{-3}$
Conway polynomial	$-2z^{6}+5z^{4}+1$
Determinant	209
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{6}+2z^{4}a^{4}-a^{4}-z^{6}a^{2}+z^{4}a^{2}+3z^{2}a^{2}+3a^{2}-z^{6}-2z^{2}-2+2z^{4}a^{-2}+z^{2}a^{-2}+a^{-2}-z^{2}a^{-4}$
Kauffman polynomial	$3a^{3}z^{11}+3az^{11}+8a^{4}z^{10}+17a^{2}z^{10}+9z^{10}+8a^{5}z^{9}+11a^{3}z^{9}+15az^{9}+12z^{9}a^{-1}+4a^{6}z^{8}-19a^{4}z^{8}-43a^{2}z^{8}+11z^{8}a^{-2}-9z^{8}+a^{7}z^{7}-25a^{5}z^{7}-55a^{3}z^{7}-54az^{7}-17z^{7}a^{-1}+8z^{7}a^{-3}-12a^{6}z^{6}+9a^{4}z^{6}+37a^{2}z^{6}-13z^{6}a^{-2}+4z^{6}a^{-4}-z^{6}-3a^{7}z^{5}+25a^{5}z^{5}+66a^{3}z^{5}+59az^{5}+10z^{5}a^{-1}-10z^{5}a^{-3}+z^{5}a^{-5}+10a^{6}z^{4}-2a^{4}z^{4}-21a^{2}z^{4}+3z^{4}a^{-2}-5z^{4}a^{-4}-z^{4}+2a^{7}z^{3}-13a^{5}z^{3}-34a^{3}z^{3}-28az^{3}-4z^{3}a^{-1}+4z^{3}a^{-3}-z^{3}a^{-5}-3a^{6}z^{2}+3a^{4}z^{2}+12a^{2}z^{2}+2z^{2}a^{-2}+2z^{2}a^{-4}+6z^{2}+3a^{5}z+7a^{3}z+5az+za^{-1}-a^{4}-3a^{2}-a^{-2}-2$