K13a2737

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a2737/Jones Polynomial
Alexander polynomial	$2t^{4}-13t^{3}+39t^{2}-73t+91-73t^{-1}+39t^{-2}-13t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a2737/Conway Polynomial
Determinant	345
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}+a^{4}z^{4}-4a^{2}z^{4}+8z^{4}a^{-2}-3z^{4}a^{-4}-z^{4}+a^{4}z^{2}-a^{2}z^{2}+7z^{2}a^{-2}-3z^{2}a^{-4}-6z^{2}+2a^{2}+2a^{-2}-3$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}+8az^{11}+15z^{11}a^{-1}+7z^{11}a^{-3}+15a^{2}z^{10}+22z^{10}a^{-2}+10z^{10}a^{-4}+27z^{10}+17a^{3}z^{9}+15az^{9}-10z^{9}a^{-1}+8z^{9}a^{-5}+12a^{4}z^{8}-13a^{2}z^{8}-64z^{8}a^{-2}-22z^{8}a^{-4}+4z^{8}a^{-6}-63z^{8}+5a^{5}z^{7}-29a^{3}z^{7}-60az^{7}-37z^{7}a^{-1}-34z^{7}a^{-3}-22z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-21a^{4}z^{6}-15a^{2}z^{6}+63z^{6}a^{-2}+12z^{6}a^{-4}-12z^{6}a^{-6}+46z^{6}-7a^{5}z^{5}+16a^{3}z^{5}+54az^{5}+56z^{5}a^{-1}+48z^{5}a^{-3}+20z^{5}a^{-5}-3z^{5}a^{-7}-a^{6}z^{4}+12a^{4}z^{4}+17a^{2}z^{4}-27z^{4}a^{-2}+3z^{4}a^{-4}+11z^{4}a^{-6}-15z^{4}+2a^{5}z^{3}-5a^{3}z^{3}-19az^{3}-29z^{3}a^{-1}-28z^{3}a^{-3}-9z^{3}a^{-5}+2z^{3}a^{-7}-3a^{4}z^{2}-2a^{2}z^{2}+6z^{2}a^{-2}-5z^{2}a^{-4}-4z^{2}a^{-6}+8z^{2}+a^{3}z+3az+7za^{-1}+7za^{-3}+2za^{-5}-2a^{2}-2a^{-2}-3$