K13n4981

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n4981

Polynomial invariants

Jones polynomial	Data:K13n4981/Jones Polynomial
Alexander polynomial	$2t^{4}-11t^{3}+26t^{2}-42t+51-42t^{-1}+26t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	Data:K13n4981/Conway Polynomial
Determinant	213
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+3z^{6}-3a^{2}z^{4}+6z^{4}a^{-2}-3z^{4}a^{-4}+a^{4}z^{2}-2a^{2}z^{2}+4z^{2}a^{-2}-2z^{2}a^{-4}-6z^{2}+a^{4}+a^{2}+a^{-2}+a^{-4}-3$
Kauffman polynomial	$3z^{11}a^{-1}+3z^{11}a^{-3}+16z^{10}a^{-2}+7z^{10}a^{-4}+9z^{10}+12az^{9}+14z^{9}a^{-1}+9z^{9}a^{-3}+7z^{9}a^{-5}+9a^{2}z^{8}-33z^{8}a^{-2}-13z^{8}a^{-4}+4z^{8}a^{-6}-7z^{8}+3a^{3}z^{7}-15az^{7}-36z^{7}a^{-1}-39z^{7}a^{-3}-20z^{7}a^{-5}+z^{7}a^{-7}-7a^{2}z^{6}+20z^{6}a^{-2}-3z^{6}a^{-4}-13z^{6}a^{-6}+3z^{6}+6a^{3}z^{5}+6az^{5}+19z^{5}a^{-1}+39z^{5}a^{-3}+17z^{5}a^{-5}-3z^{5}a^{-7}+6a^{4}z^{4}+3a^{2}z^{4}-11z^{4}a^{-2}+17z^{4}a^{-4}+13z^{4}a^{-6}-18z^{4}-6a^{3}z^{3}+4az^{3}-4z^{3}a^{-1}-21z^{3}a^{-3}-5z^{3}a^{-5}+2z^{3}a^{-7}-6a^{4}z^{2}+a^{2}z^{2}+3z^{2}a^{-2}-11z^{2}a^{-4}-4z^{2}a^{-6}+17z^{2}-3az+za^{-1}+6za^{-3}+2za^{-5}+a^{4}-a^{2}-a^{-2}+a^{-4}-3$

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