K13n553

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n553

Polynomial invariants

Jones polynomial	Data:K13n553/Jones Polynomial
Alexander polynomial	$2t^{4}-9t^{3}+22t^{2}-34t+39-34t^{-1}+22t^{-2}-9t^{-3}+2t^{-4}$
Conway polynomial	Data:K13n553/Conway Polynomial
Determinant	173
Signature	4
HOMFLY-PT polynomial	$2z^{8}a^{-6}-2z^{6}a^{-4}+12z^{6}a^{-6}-3z^{6}a^{-8}-7z^{4}a^{-4}+27z^{4}a^{-6}-13z^{4}a^{-8}+z^{4}a^{-10}-6z^{2}a^{-4}+26z^{2}a^{-6}-18z^{2}a^{-8}+3z^{2}a^{-10}-a^{-4}+8a^{-6}-8a^{-8}+2a^{-10}$
Kauffman polynomial	$2z^{11}a^{-7}+2z^{11}a^{-9}+6z^{10}a^{-6}+12z^{10}a^{-8}+6z^{10}a^{-10}+5z^{9}a^{-5}+8z^{9}a^{-7}+11z^{9}a^{-9}+8z^{9}a^{-11}+z^{8}a^{-4}-20z^{8}a^{-6}-34z^{8}a^{-8}-6z^{8}a^{-10}+7z^{8}a^{-12}-14z^{7}a^{-5}-40z^{7}a^{-7}-44z^{7}a^{-9}-14z^{7}a^{-11}+4z^{7}a^{-13}+6z^{6}a^{-4}+45z^{6}a^{-6}+47z^{6}a^{-8}-7z^{6}a^{-10}-14z^{6}a^{-12}+z^{6}a^{-14}+3z^{5}a^{-3}+26z^{5}a^{-5}+74z^{5}a^{-7}+63z^{5}a^{-9}+3z^{5}a^{-11}-9z^{5}a^{-13}-18z^{4}a^{-4}-55z^{4}a^{-6}-35z^{4}a^{-8}+9z^{4}a^{-10}+5z^{4}a^{-12}-2z^{4}a^{-14}-6z^{3}a^{-3}-27z^{3}a^{-5}-55z^{3}a^{-7}-39z^{3}a^{-9}+5z^{3}a^{-13}+10z^{2}a^{-4}+33z^{2}a^{-6}+24z^{2}a^{-8}-z^{2}a^{-10}-z^{2}a^{-12}+z^{2}a^{-14}+2za^{-3}+7za^{-5}+15za^{-7}+11za^{-9}-za^{-13}-a^{-4}-8a^{-6}-8a^{-8}-2a^{-10}$

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