K13a31

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a31/Jones Polynomial
Alexander polynomial	$t^{4}-9t^{3}+36t^{2}-81t+107-81t^{-1}+36t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	Data:K13a31/Conway Polynomial
Determinant	361
Signature	0
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-2z^{6}a^{-2}+4z^{6}+3a^{4}z^{4}-8a^{2}z^{4}-5z^{4}a^{-2}+z^{4}a^{-4}+11z^{4}-a^{6}z^{2}+4a^{4}z^{2}-11a^{2}z^{2}-7z^{2}a^{-2}+z^{2}a^{-4}+12z^{2}+2a^{4}-5a^{2}-3a^{-2}+a^{-4}+6$
Kauffman polynomial	$a^{2}z^{12}+z^{12}+5a^{3}z^{11}+11az^{11}+6z^{11}a^{-1}+10a^{4}z^{10}+29a^{2}z^{10}+14z^{10}a^{-2}+33z^{10}+10a^{5}z^{9}+24a^{3}z^{9}+30az^{9}+33z^{9}a^{-1}+17z^{9}a^{-3}+5a^{6}z^{8}-9a^{4}z^{8}-54a^{2}z^{8}-4z^{8}a^{-2}+12z^{8}a^{-4}-56z^{8}+a^{7}z^{7}-25a^{5}z^{7}-94a^{3}z^{7}-141az^{7}-107z^{7}a^{-1}-29z^{7}a^{-3}+5z^{7}a^{-5}-13a^{6}z^{6}-26a^{4}z^{6}-7a^{2}z^{6}-37z^{6}a^{-2}-21z^{6}a^{-4}+z^{6}a^{-6}-9z^{6}-2a^{7}z^{5}+21a^{5}z^{5}+102a^{3}z^{5}+165az^{5}+112z^{5}a^{-1}+19z^{5}a^{-3}-7z^{5}a^{-5}+11a^{6}z^{4}+38a^{4}z^{4}+58a^{2}z^{4}+46z^{4}a^{-2}+13z^{4}a^{-4}-z^{4}a^{-6}+63z^{4}+a^{7}z^{3}-8a^{5}z^{3}-47a^{3}z^{3}-79az^{3}-52z^{3}a^{-1}-9z^{3}a^{-3}+2z^{3}a^{-5}-3a^{6}z^{2}-16a^{4}z^{2}-33a^{2}z^{2}-21z^{2}a^{-2}-5z^{2}a^{-4}-36z^{2}+a^{5}z+8a^{3}z+14az+10za^{-1}+3za^{-3}+2a^{4}+5a^{2}+3a^{-2}+a^{-4}+6$