K13n791

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n791/Jones Polynomial
Alexander polynomial	$-t^{5}+4t^{4}-9t^{3}+16t^{2}-21t+23-21t^{-1}+16t^{-2}-9t^{-3}+4t^{-4}-t^{-5}$
Conway polynomial	Data:K13n791/Conway Polynomial
Determinant	125
Signature	4
HOMFLY-PT polynomial	$-z^{10}a^{-4}+z^{8}a^{-2}-8z^{8}a^{-4}+z^{8}a^{-6}+6z^{6}a^{-2}-25z^{6}a^{-4}+7z^{6}a^{-6}+13z^{4}a^{-2}-38z^{4}a^{-4}+18z^{4}a^{-6}-z^{4}a^{-8}+12z^{2}a^{-2}-27z^{2}a^{-4}+19z^{2}a^{-6}-3z^{2}a^{-8}+4a^{-2}-7a^{-4}+6a^{-6}-2a^{-8}$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+4z^{10}a^{-2}+10z^{10}a^{-4}+6z^{10}a^{-6}+3z^{9}a^{-1}+4z^{9}a^{-5}+7z^{9}a^{-7}-16z^{8}a^{-2}-39z^{8}a^{-4}-18z^{8}a^{-6}+4z^{8}a^{-8}+z^{8}-14z^{7}a^{-1}-23z^{7}a^{-3}-30z^{7}a^{-5}-20z^{7}a^{-7}+z^{7}a^{-9}+19z^{6}a^{-2}+56z^{6}a^{-4}+28z^{6}a^{-6}-4z^{6}a^{-8}-5z^{6}+21z^{5}a^{-1}+36z^{5}a^{-3}+38z^{5}a^{-5}+28z^{5}a^{-7}+5z^{5}a^{-9}-11z^{4}a^{-2}-57z^{4}a^{-4}-41z^{4}a^{-6}+z^{4}a^{-8}+4z^{4}a^{-10}+8z^{4}-11z^{3}a^{-1}-20z^{3}a^{-3}-28z^{3}a^{-5}-24z^{3}a^{-7}-4z^{3}a^{-9}+z^{3}a^{-11}+10z^{2}a^{-2}+35z^{2}a^{-4}+26z^{2}a^{-6}+4z^{2}a^{-8}-z^{2}a^{-10}-4z^{2}+2za^{-1}+6za^{-3}+8za^{-5}+7za^{-7}+3za^{-9}-4a^{-2}-7a^{-4}-6a^{-6}-2a^{-8}$