K13n5027

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n5027

Polynomial invariants

Jones polynomial	Data:K13n5027/Jones Polynomial
Alexander polynomial	$-t^{4}+3t^{3}+2t^{2}-14t+21-14t^{-1}+2t^{-2}+3t^{-3}-t^{-4}$
Conway polynomial	Data:K13n5027/Conway Polynomial
Determinant	45
Signature	4
HOMFLY-PT polynomial	$-z^{8}a^{-6}+z^{6}a^{-4}-7z^{6}a^{-6}+z^{6}a^{-8}+6z^{4}a^{-4}-14z^{4}a^{-6}+8z^{4}a^{-8}+8z^{2}a^{-4}-11z^{2}a^{-6}+12z^{2}a^{-8}-4z^{2}a^{-10}+2a^{-4}-2a^{-6}+4a^{-8}-4a^{-10}+a^{-12}$
Kauffman polynomial	$2z^{10}a^{-8}+2z^{10}a^{-10}+z^{9}a^{-5}+3z^{9}a^{-7}+6z^{9}a^{-9}+4z^{9}a^{-11}+z^{8}a^{-4}+z^{8}a^{-6}-10z^{8}a^{-8}-6z^{8}a^{-10}+4z^{8}a^{-12}-8z^{7}a^{-5}-22z^{7}a^{-7}-32z^{7}a^{-9}-15z^{7}a^{-11}+3z^{7}a^{-13}-7z^{6}a^{-4}-10z^{6}a^{-6}+9z^{6}a^{-8}-2z^{6}a^{-10}-13z^{6}a^{-12}+z^{6}a^{-14}+18z^{5}a^{-5}+48z^{5}a^{-7}+52z^{5}a^{-9}+12z^{5}a^{-11}-10z^{5}a^{-13}+14z^{4}a^{-4}+21z^{4}a^{-6}+12z^{4}a^{-8}+15z^{4}a^{-10}+7z^{4}a^{-12}-3z^{4}a^{-14}-15z^{3}a^{-5}-35z^{3}a^{-7}-24z^{3}a^{-9}+2z^{3}a^{-11}+6z^{3}a^{-13}-10z^{2}a^{-4}-13z^{2}a^{-6}-11z^{2}a^{-8}-11z^{2}a^{-10}-2z^{2}a^{-12}+z^{2}a^{-14}+2za^{-5}+7za^{-7}+za^{-9}-6za^{-11}-2za^{-13}+2a^{-4}+2a^{-6}+4a^{-8}+4a^{-10}+a^{-12}$

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