K13n4302

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n4302

Polynomial invariants

Jones polynomial	Data:K13n4302/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-12t^{3}+21t^{2}-29t+33-29t^{-1}+21t^{-2}-12t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K13n4302/Conway Polynomial
Determinant	169
Signature	0
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+z^{8}a^{-2}-7z^{8}+5a^{2}z^{6}+6z^{6}a^{-2}-18z^{6}+8a^{2}z^{4}+13z^{4}a^{-2}-z^{4}a^{-4}-21z^{4}+4a^{2}z^{2}+12z^{2}a^{-2}-3z^{2}a^{-4}-11z^{2}+4a^{-2}-2a^{-4}-1$
Kauffman polynomial	$3az^{11}+3z^{11}a^{-1}+7a^{2}z^{10}+7z^{10}a^{-2}+14z^{10}+8a^{3}z^{9}+3az^{9}+5z^{9}a^{-3}+7a^{4}z^{8}-14a^{2}z^{8}-28z^{8}a^{-2}+z^{8}a^{-4}-50z^{8}+4a^{5}z^{7}-14a^{3}z^{7}-24az^{7}-22z^{7}a^{-1}-16z^{7}a^{-3}+a^{6}z^{6}-14a^{4}z^{6}+12a^{2}z^{6}+57z^{6}a^{-2}+4z^{6}a^{-4}+80z^{6}-9a^{5}z^{5}+a^{3}z^{5}+37az^{5}+53z^{5}a^{-1}+29z^{5}a^{-3}+3z^{5}a^{-5}-2a^{6}z^{4}+4a^{4}z^{4}-10a^{2}z^{4}-52z^{4}a^{-2}-14z^{4}a^{-4}-54z^{4}+5a^{5}z^{3}+3a^{3}z^{3}-18az^{3}-37z^{3}a^{-1}-29z^{3}a^{-3}-8z^{3}a^{-5}+a^{6}z^{2}+4a^{2}z^{2}+21z^{2}a^{-2}+8z^{2}a^{-4}+18z^{2}-a^{5}z-2a^{3}z+2az+8za^{-1}+9za^{-3}+4za^{-5}-4a^{-2}-2a^{-4}-1$

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