K13n1487

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1487

Polynomial invariants

Jones polynomial	Data:K13n1487/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+15t^{2}-24t+29-24t^{-1}+15t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K13n1487/Conway Polynomial
Determinant	121
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+5z^{6}a^{-2}-z^{6}a^{-4}-2z^{6}+a^{2}z^{4}+9z^{4}a^{-2}-3z^{4}a^{-4}-8z^{4}+3a^{2}z^{2}+7z^{2}a^{-2}-2z^{2}a^{-4}-10z^{2}+2a^{2}+2a^{-2}-3$
Kauffman polynomial	$z^{11}a^{-1}+z^{11}a^{-3}+6z^{10}a^{-2}+4z^{10}a^{-4}+2z^{10}+az^{9}+3z^{9}a^{-1}+8z^{9}a^{-3}+6z^{9}a^{-5}-14z^{8}a^{-2}-6z^{8}a^{-4}+4z^{8}a^{-6}-4z^{8}+2az^{7}-11z^{7}a^{-1}-34z^{7}a^{-3}-20z^{7}a^{-5}+z^{7}a^{-7}+6a^{2}z^{6}+9z^{6}a^{-2}-13z^{6}a^{-4}-14z^{6}a^{-6}+14z^{6}+3a^{3}z^{5}+az^{5}+15z^{5}a^{-1}+37z^{5}a^{-3}+17z^{5}a^{-5}-3z^{5}a^{-7}+a^{4}z^{4}-8a^{2}z^{4}-6z^{4}a^{-2}+19z^{4}a^{-4}+13z^{4}a^{-6}-21z^{4}-3a^{3}z^{3}-3az^{3}-12z^{3}a^{-1}-19z^{3}a^{-3}-5z^{3}a^{-5}+2z^{3}a^{-7}-a^{4}z^{2}+6a^{2}z^{2}+5z^{2}a^{-2}-6z^{2}a^{-4}-3z^{2}a^{-6}+15z^{2}+a^{3}z+2az+4za^{-1}+4za^{-3}+za^{-5}-2a^{2}-2a^{-2}-3$

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