K13n1548

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1548

Polynomial invariants

Jones polynomial	Data:K13n1548/Jones Polynomial
Alexander polynomial	$-t^{3}+5t^{2}-11t+15-11t^{-1}+5t^{-2}-t^{-3}$
Conway polynomial	Data:K13n1548/Conway Polynomial
Determinant	49
Signature	0
HOMFLY-PT polynomial	$-z^{6}a^{-4}+2z^{4}a^{-2}-4z^{4}a^{-4}+z^{4}a^{-6}+5z^{2}a^{-2}-6z^{2}a^{-4}+2z^{2}a^{-6}-z^{2}+3a^{-2}-3a^{-4}+a^{-6}$
Kauffman polynomial	$z^{11}a^{-3}+z^{11}a^{-5}+2z^{10}a^{-2}+5z^{10}a^{-4}+3z^{10}a^{-6}+z^{9}a^{-1}-z^{9}a^{-3}+z^{9}a^{-5}+3z^{9}a^{-7}-11z^{8}a^{-2}-26z^{8}a^{-4}-14z^{8}a^{-6}+z^{8}a^{-8}-6z^{7}a^{-1}-16z^{7}a^{-3}-26z^{7}a^{-5}-16z^{7}a^{-7}+19z^{6}a^{-2}+39z^{6}a^{-4}+15z^{6}a^{-6}-5z^{6}a^{-8}+11z^{5}a^{-1}+36z^{5}a^{-3}+50z^{5}a^{-5}+25z^{5}a^{-7}-19z^{4}a^{-2}-26z^{4}a^{-4}-2z^{4}a^{-6}+7z^{4}a^{-8}-2z^{4}-az^{3}-11z^{3}a^{-1}-29z^{3}a^{-3}-33z^{3}a^{-5}-14z^{3}a^{-7}+11z^{2}a^{-2}+11z^{2}a^{-4}-3z^{2}a^{-8}+3z^{2}+az+4za^{-1}+8za^{-3}+8za^{-5}+3za^{-7}-3a^{-2}-3a^{-4}-a^{-6}$

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