K13a4159

Dowker-Thistlethwaite code

6 12 20 16 26 22 2 24 8 10 4 14 18

Jones polynomial	Data:K13a4159/Jones Polynomial
Alexander polynomial	$-3t^{4}+17t^{3}-45t^{2}+78t-93+78t^{-1}-45t^{-2}+17t^{-3}-3t^{-4}$
Conway polynomial	Data:K13a4159/Conway Polynomial
Determinant	379
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-3z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+11z^{4}a^{6}+13z^{2}a^{6}+4a^{6}-2z^{8}a^{4}-9z^{6}a^{4}-16z^{4}a^{4}-12z^{2}a^{4}-3a^{4}-z^{8}a^{2}-2z^{6}a^{2}+z^{4}a^{2}+4z^{2}a^{2}+2a^{2}+z^{6}+2z^{4}+z^{2}$
Kauffman polynomial	$4a^{6}z^{12}+4a^{4}z^{12}+10a^{7}z^{11}+24a^{5}z^{11}+14a^{3}z^{11}+11a^{8}z^{10}+17a^{6}z^{10}+28a^{4}z^{10}+22a^{2}z^{10}+8a^{9}z^{9}-15a^{7}z^{9}-53a^{5}z^{9}-9a^{3}z^{9}+21az^{9}+4a^{10}z^{8}-24a^{8}z^{8}-67a^{6}z^{8}-93a^{4}z^{8}-41a^{2}z^{8}+13z^{8}+a^{11}z^{7}-19a^{9}z^{7}+3a^{7}z^{7}+47a^{5}z^{7}-21a^{3}z^{7}-40az^{7}+5z^{7}a^{-1}-11a^{10}z^{6}+18a^{8}z^{6}+95a^{6}z^{6}+119a^{4}z^{6}+31a^{2}z^{6}+z^{6}a^{-2}-21z^{6}-3a^{11}z^{5}+12a^{9}z^{5}+4a^{7}z^{5}-18a^{5}z^{5}+26a^{3}z^{5}+27az^{5}-6z^{5}a^{-1}+9a^{10}z^{4}-12a^{8}z^{4}-74a^{6}z^{4}-82a^{4}z^{4}-18a^{2}z^{4}-z^{4}a^{-2}+10z^{4}+3a^{11}z^{3}-2a^{9}z^{3}-6a^{7}z^{3}-a^{5}z^{3}-10a^{3}z^{3}-9az^{3}+z^{3}a^{-1}-2a^{10}z^{2}+8a^{8}z^{2}+28a^{6}z^{2}+29a^{4}z^{2}+9a^{2}z^{2}-2z^{2}-a^{11}z+a^{9}z+2a^{7}z+a^{5}z+2a^{3}z+az-2a^{8}-4a^{6}-3a^{4}-2a^{2}$