K13a2686

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a2686

Polynomial invariants

Jones polynomial	Data:K13a2686/Jones Polynomial
Alexander polynomial	$2t^{4}-11t^{3}+31t^{2}-51t+59-51t^{-1}+31t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a2686/Conway Polynomial
Determinant	249
Signature	4
HOMFLY-PT polynomial	$z^{8}a^{-4}+z^{8}a^{-6}-z^{6}a^{-2}+4z^{6}a^{-4}+4z^{6}a^{-6}-2z^{6}a^{-8}-3z^{4}a^{-2}+6z^{4}a^{-4}+8z^{4}a^{-6}-7z^{4}a^{-8}+z^{4}a^{-10}-2z^{2}a^{-2}+4z^{2}a^{-4}+10z^{2}a^{-6}-8z^{2}a^{-8}+2z^{2}a^{-10}+4a^{-6}-3a^{-8}$
Kauffman polynomial	$z^{12}a^{-6}+z^{12}a^{-8}+4z^{11}a^{-5}+8z^{11}a^{-7}+4z^{11}a^{-9}+7z^{10}a^{-4}+13z^{10}a^{-6}+13z^{10}a^{-8}+7z^{10}a^{-10}+7z^{9}a^{-3}+2z^{9}a^{-5}-10z^{9}a^{-7}+3z^{9}a^{-9}+8z^{9}a^{-11}+4z^{8}a^{-2}-15z^{8}a^{-4}-40z^{8}a^{-6}-36z^{8}a^{-8}-8z^{8}a^{-10}+7z^{8}a^{-12}+z^{7}a^{-1}-21z^{7}a^{-3}-25z^{7}a^{-5}+z^{7}a^{-7}-13z^{7}a^{-9}-13z^{7}a^{-11}+4z^{7}a^{-13}-13z^{6}a^{-2}+4z^{6}a^{-4}+53z^{6}a^{-6}+53z^{6}a^{-8}-16z^{6}a^{-12}+z^{6}a^{-14}-3z^{5}a^{-1}+18z^{5}a^{-3}+28z^{5}a^{-5}+7z^{5}a^{-7}+11z^{5}a^{-9}+z^{5}a^{-11}-10z^{5}a^{-13}+12z^{4}a^{-2}+4z^{4}a^{-4}-47z^{4}a^{-6}-46z^{4}a^{-8}+6z^{4}a^{-10}+11z^{4}a^{-12}-2z^{4}a^{-14}+2z^{3}a^{-1}-5z^{3}a^{-3}-14z^{3}a^{-5}-12z^{3}a^{-7}-z^{3}a^{-9}+10z^{3}a^{-11}+6z^{3}a^{-13}-3z^{2}a^{-2}-z^{2}a^{-4}+22z^{2}a^{-6}+19z^{2}a^{-8}-3z^{2}a^{-10}-2z^{2}a^{-12}+za^{-3}+3za^{-5}+5za^{-7}-za^{-9}-4za^{-11}-4a^{-6}-3a^{-8}$

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