K13n915

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n915

Polynomial invariants

Jones polynomial	Data:K13n915/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-16t^{2}+23t-25+23t^{-1}-16t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K13n915/Conway Polynomial
Determinant	119
Signature	6
HOMFLY-PT polynomial	$-z^{8}a^{-8}+2z^{6}a^{-6}-4z^{6}a^{-8}+z^{6}a^{-10}+8z^{4}a^{-6}-4z^{4}a^{-8}+2z^{4}a^{-10}+9z^{2}a^{-6}-z^{2}a^{-8}-2z^{2}a^{-10}+3a^{-6}-3a^{-10}+a^{-12}$
Kauffman polynomial	$z^{10}a^{-8}+z^{10}a^{-10}+z^{9}a^{-7}+7z^{9}a^{-9}+6z^{9}a^{-11}+4z^{8}a^{-8}+17z^{8}a^{-10}+13z^{8}a^{-12}+z^{7}a^{-7}-6z^{7}a^{-9}+7z^{7}a^{-11}+14z^{7}a^{-13}+3z^{6}a^{-6}-13z^{6}a^{-8}-44z^{6}a^{-10}-19z^{6}a^{-12}+9z^{6}a^{-14}-6z^{5}a^{-7}-21z^{5}a^{-9}-40z^{5}a^{-11}-21z^{5}a^{-13}+4z^{5}a^{-15}-9z^{4}a^{-6}+6z^{4}a^{-8}+29z^{4}a^{-10}+6z^{4}a^{-12}-7z^{4}a^{-14}+z^{4}a^{-16}+3z^{3}a^{-7}+24z^{3}a^{-9}+35z^{3}a^{-11}+13z^{3}a^{-13}-z^{3}a^{-15}+9z^{2}a^{-6}+z^{2}a^{-8}-10z^{2}a^{-10}+2z^{2}a^{-14}+za^{-7}-7za^{-9}-11za^{-11}-3za^{-13}-3a^{-6}+3a^{-10}+a^{-12}$

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