K13n865

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n865

Polynomial invariants

Jones polynomial	Data:K13n865/Jones Polynomial
Alexander polynomial	$-4t^{3}+20t^{2}-42t+53-42t^{-1}+20t^{-2}-4t^{-3}$
Conway polynomial	Data:K13n865/Conway Polynomial
Determinant	185
Signature	4
HOMFLY-PT polynomial	$-2z^{6}a^{-6}-2z^{6}a^{-8}+3z^{4}a^{-4}-5z^{4}a^{-6}-5z^{4}a^{-8}+3z^{4}a^{-10}+7z^{2}a^{-4}-5z^{2}a^{-6}-5z^{2}a^{-8}+6z^{2}a^{-10}-z^{2}a^{-12}+4a^{-4}-3a^{-6}-2a^{-8}+3a^{-10}-a^{-12}$
Kauffman polynomial	$2z^{11}a^{-9}+2z^{11}a^{-11}+6z^{10}a^{-8}+12z^{10}a^{-10}+6z^{10}a^{-12}+8z^{9}a^{-7}+12z^{9}a^{-9}+11z^{9}a^{-11}+7z^{9}a^{-13}+7z^{8}a^{-6}-2z^{8}a^{-8}-24z^{8}a^{-10}-11z^{8}a^{-12}+4z^{8}a^{-14}+3z^{7}a^{-5}-8z^{7}a^{-7}-32z^{7}a^{-9}-44z^{7}a^{-11}-22z^{7}a^{-13}+z^{7}a^{-15}-10z^{6}a^{-6}-6z^{6}a^{-8}+13z^{6}a^{-10}-4z^{6}a^{-12}-13z^{6}a^{-14}-z^{5}a^{-7}+21z^{5}a^{-9}+46z^{5}a^{-11}+21z^{5}a^{-13}-3z^{5}a^{-15}+6z^{4}a^{-4}+15z^{4}a^{-6}-z^{4}a^{-8}-11z^{4}a^{-10}+11z^{4}a^{-12}+12z^{4}a^{-14}+2z^{3}a^{-5}+11z^{3}a^{-7}-4z^{3}a^{-9}-23z^{3}a^{-11}-8z^{3}a^{-13}+2z^{3}a^{-15}-10z^{2}a^{-4}-11z^{2}a^{-6}+8z^{2}a^{-8}+9z^{2}a^{-10}-3z^{2}a^{-12}-3z^{2}a^{-14}-4za^{-5}-6za^{-7}+4za^{-11}+2za^{-13}+4a^{-4}+3a^{-6}-2a^{-8}-3a^{-10}-a^{-12}$

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