K14n25716

Knot presentations

Dowker-Thistlethwaite code

6 -12 -20 28 24 -18 -2 -26 -22 -4 -10 -16 8 -14

Notes on presentations of K14n25716

Polynomial invariants

Jones polynomial	Data:K14n25716/Jones Polynomial
Alexander polynomial	$-t^{4}+4t^{3}-9t^{2}+12t-11+12t^{-1}-9t^{-2}+4t^{-3}-t^{-4}$
Conway polynomial	Data:K14n25716/Conway Polynomial
Determinant	Data:K14n25716/Determinant
Signature	Data:K14n25716/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-6z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-13z^{4}a^{-2}+4z^{4}a^{-4}+4z^{4}-12z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}+5z^{2}-3a^{-2}+a^{-4}-a^{-6}+a^{-8}+3$
Kauffman polynomial	$z^{10}a^{-2}-z^{10}a^{-6}+4z^{9}a^{-1}+3z^{9}a^{-3}-z^{9}a^{-5}+3z^{8}a^{-2}+4z^{8}a^{-4}+7z^{8}a^{-6}+z^{8}a^{-8}+5z^{8}+3az^{7}-13z^{7}a^{-1}-6z^{7}a^{-3}+8z^{7}a^{-5}-2z^{7}a^{-7}+a^{2}z^{6}-20z^{6}a^{-2}-10z^{6}a^{-4}-17z^{6}a^{-6}-8z^{6}a^{-8}-18z^{6}-9az^{5}+12z^{5}a^{-1}+3z^{5}a^{-3}-8z^{5}a^{-5}+10z^{5}a^{-7}-3a^{2}z^{4}+32z^{4}a^{-2}+16z^{4}a^{-4}+25z^{4}a^{-6}+19z^{4}a^{-8}+19z^{4}+4az^{3}-3z^{3}a^{-1}+3z^{3}a^{-3}-2z^{3}a^{-5}-12z^{3}a^{-7}+a^{2}z^{2}-19z^{2}a^{-2}-10z^{2}a^{-4}-15z^{2}a^{-6}-13z^{2}a^{-8}-10z^{2}-za^{-1}-za^{-3}+5za^{-5}+5za^{-7}+3a^{-2}+a^{-4}+a^{-6}+a^{-8}+3$

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