K13n1598

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1598

Polynomial invariants

Jones polynomial	Data:K13n1598/Jones Polynomial
Alexander polynomial	$3t^{2}-12t+19-12t^{-1}+3t^{-2}$
Conway polynomial	Data:K13n1598/Conway Polynomial
Determinant	49
Signature	0
HOMFLY-PT polynomial	$2z^{4}a^{-2}+z^{4}a^{-4}+4z^{2}a^{-2}-z^{2}a^{-6}-3z^{2}+a^{2}+3a^{-2}-a^{-4}-2$
Kauffman polynomial	$z^{11}a^{-1}+z^{11}a^{-3}+4z^{10}a^{-2}+3z^{10}a^{-4}+z^{10}-5z^{9}a^{-1}-z^{9}a^{-3}+4z^{9}a^{-5}-23z^{8}a^{-2}-13z^{8}a^{-4}+3z^{8}a^{-6}-7z^{8}+6z^{7}a^{-1}-13z^{7}a^{-3}-18z^{7}a^{-5}+z^{7}a^{-7}+44z^{6}a^{-2}+14z^{6}a^{-4}-13z^{6}a^{-6}+17z^{6}-az^{5}+z^{5}a^{-1}+27z^{5}a^{-3}+21z^{5}a^{-5}-4z^{5}a^{-7}-a^{2}z^{4}-38z^{4}a^{-2}-7z^{4}a^{-4}+13z^{4}a^{-6}-19z^{4}+2az^{3}-4z^{3}a^{-1}-19z^{3}a^{-3}-10z^{3}a^{-5}+3z^{3}a^{-7}+2a^{2}z^{2}+16z^{2}a^{-2}+3z^{2}a^{-4}-3z^{2}a^{-6}+12z^{2}+2za^{-1}+4za^{-3}+2za^{-5}-a^{2}-3a^{-2}-a^{-4}-2$

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