K13a502

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a502

Polynomial invariants

Jones polynomial	Data:K13a502/Jones Polynomial
Alexander polynomial	$2t^{4}-11t^{3}+29t^{2}-46t+53-46t^{-1}+29t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a502/Conway Polynomial
Determinant	229
Signature	4
HOMFLY-PT polynomial	$z^{8}a^{-4}+z^{8}a^{-6}-z^{6}a^{-2}+4z^{6}a^{-4}+4z^{6}a^{-6}-2z^{6}a^{-8}-3z^{4}a^{-2}+6z^{4}a^{-4}+7z^{4}a^{-6}-8z^{4}a^{-8}+z^{4}a^{-10}-2z^{2}a^{-2}+5z^{2}a^{-4}+8z^{2}a^{-6}-11z^{2}a^{-8}+3z^{2}a^{-10}+a^{-4}+4a^{-6}-6a^{-8}+2a^{-10}$
Kauffman polynomial	$z^{12}a^{-6}+z^{12}a^{-8}+4z^{11}a^{-5}+7z^{11}a^{-7}+3z^{11}a^{-9}+7z^{10}a^{-4}+11z^{10}a^{-6}+9z^{10}a^{-8}+5z^{10}a^{-10}+7z^{9}a^{-3}-9z^{9}a^{-7}+4z^{9}a^{-9}+6z^{9}a^{-11}+4z^{8}a^{-2}-16z^{8}a^{-4}-35z^{8}a^{-6}-24z^{8}a^{-8}-4z^{8}a^{-10}+5z^{8}a^{-12}+z^{7}a^{-1}-21z^{7}a^{-3}-20z^{7}a^{-5}-2z^{7}a^{-7}-18z^{7}a^{-9}-11z^{7}a^{-11}+3z^{7}a^{-13}-13z^{6}a^{-2}+6z^{6}a^{-4}+46z^{6}a^{-6}+35z^{6}a^{-8}-4z^{6}a^{-10}-11z^{6}a^{-12}+z^{6}a^{-14}-3z^{5}a^{-1}+17z^{5}a^{-3}+23z^{5}a^{-5}+15z^{5}a^{-7}+27z^{5}a^{-9}+7z^{5}a^{-11}-8z^{5}a^{-13}+12z^{4}a^{-2}+2z^{4}a^{-4}-41z^{4}a^{-6}-34z^{4}a^{-8}+7z^{4}a^{-10}+7z^{4}a^{-12}-3z^{4}a^{-14}+2z^{3}a^{-1}-4z^{3}a^{-3}-13z^{3}a^{-5}-18z^{3}a^{-7}-18z^{3}a^{-9}-z^{3}a^{-11}+6z^{3}a^{-13}-3z^{2}a^{-2}-2z^{2}a^{-4}+19z^{2}a^{-6}+23z^{2}a^{-8}+z^{2}a^{-10}-2z^{2}a^{-12}+2z^{2}a^{-14}+za^{-3}+2za^{-5}+7za^{-7}+7za^{-9}-za^{-11}-2za^{-13}+a^{-4}-4a^{-6}-6a^{-8}-2a^{-10}$

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