K13n157

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n157/Jones Polynomial
Alexander polynomial	$2t^{3}-12t^{2}+31t-41+31t^{-1}-12t^{-2}+2t^{-3}$
Conway polynomial	Data:K13n157/Conway Polynomial
Determinant	131
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-2}+z^{6}a^{-4}+z^{4}a^{-2}+2z^{4}a^{-4}-z^{4}a^{-6}-2z^{4}+a^{2}z^{2}+3z^{2}a^{-4}-3z^{2}+a^{2}+a^{-4}+a^{-6}-a^{-8}-1$
Kauffman polynomial	$z^{11}a^{-3}+z^{11}a^{-5}+3z^{10}a^{-2}+6z^{10}a^{-4}+3z^{10}a^{-6}+4z^{9}a^{-1}+6z^{9}a^{-3}+5z^{9}a^{-5}+3z^{9}a^{-7}-2z^{8}a^{-2}-14z^{8}a^{-4}-7z^{8}a^{-6}+z^{8}a^{-8}+4z^{8}+3az^{7}-4z^{7}a^{-1}-21z^{7}a^{-3}-22z^{7}a^{-5}-8z^{7}a^{-7}+a^{2}z^{6}-z^{6}a^{-2}+13z^{6}a^{-4}+9z^{6}a^{-6}+2z^{6}a^{-8}-6z^{6}-8az^{5}-4z^{5}a^{-1}+32z^{5}a^{-3}+38z^{5}a^{-5}+13z^{5}a^{-7}+3z^{5}a^{-9}-3a^{2}z^{4}-2z^{4}a^{-2}+5z^{4}a^{-4}-4z^{4}a^{-6}-10z^{4}a^{-8}-4z^{4}+6az^{3}-22z^{3}a^{-3}-22z^{3}a^{-5}-14z^{3}a^{-7}-8z^{3}a^{-9}+3a^{2}z^{2}-z^{2}a^{-2}-7z^{2}a^{-4}+3z^{2}a^{-6}+6z^{2}a^{-8}+6z^{2}-az+za^{-1}+5za^{-3}+5za^{-5}+5za^{-7}+3za^{-9}-a^{2}+a^{-4}-a^{-6}-a^{-8}-1$