K13n3429

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n3429

Polynomial invariants

Jones polynomial	Data:K13n3429/Jones Polynomial
Alexander polynomial	$t^{4}-3t^{3}+5t^{2}-5t+5-5t^{-1}+5t^{-2}-3t^{-3}+t^{-4}$
Conway polynomial	Data:K13n3429/Conway Polynomial
Determinant	33
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+6z^{6}a^{-2}-z^{6}a^{-4}-a^{2}z^{4}+12z^{4}a^{-2}-4z^{4}a^{-4}-2a^{2}z^{2}+11z^{2}a^{-2}-5z^{2}a^{-4}-a^{2}+5a^{-2}-3a^{-4}$
Kauffman polynomial	$z^{10}a^{-2}+z^{10}a^{-4}+az^{9}+z^{9}a^{-1}+3z^{9}a^{-3}+3z^{9}a^{-5}+2a^{2}z^{8}-5z^{8}a^{-2}+3z^{8}a^{-6}+a^{3}z^{7}-6az^{7}-8z^{7}a^{-1}-12z^{7}a^{-3}-10z^{7}a^{-5}+z^{7}a^{-7}-11a^{2}z^{6}+7z^{6}a^{-2}-11z^{6}a^{-4}-12z^{6}a^{-6}-5z^{6}-5a^{3}z^{5}+5az^{5}+14z^{5}a^{-1}+11z^{5}a^{-3}+3z^{5}a^{-5}-4z^{5}a^{-7}+14a^{2}z^{4}-9z^{4}a^{-2}+7z^{4}a^{-4}+12z^{4}a^{-6}+10z^{4}+6a^{3}z^{3}+4az^{3}-8z^{3}a^{-1}-7z^{3}a^{-3}+4z^{3}a^{-5}+5z^{3}a^{-7}-5a^{2}z^{2}+9z^{2}a^{-2}+4z^{2}a^{-4}-3z^{2}a^{-6}-3z^{2}-2a^{3}z-2az+2za^{-1}+4za^{-3}-2za^{-7}+a^{2}-5a^{-2}-3a^{-4}$

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