K13n1502

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1502

Polynomial invariants

Jones polynomial	Data:K13n1502/Jones Polynomial
Alexander polynomial	$3t^{3}-12t^{2}+26t-33+26t^{-1}-12t^{-2}+3t^{-3}$
Conway polynomial	Data:K13n1502/Conway Polynomial
Determinant	115
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-4}+2z^{6}a^{-6}-z^{4}a^{-2}+3z^{4}a^{-4}+7z^{4}a^{-6}-3z^{4}a^{-8}-2z^{2}a^{-2}+5z^{2}a^{-4}+8z^{2}a^{-6}-7z^{2}a^{-8}+z^{2}a^{-10}-a^{-2}+3a^{-4}+2a^{-6}-4a^{-8}+a^{-10}$
Kauffman polynomial	$2z^{11}a^{-7}+2z^{11}a^{-9}+6z^{10}a^{-6}+11z^{10}a^{-8}+5z^{10}a^{-10}+6z^{9}a^{-5}+6z^{9}a^{-7}+4z^{9}a^{-9}+4z^{9}a^{-11}+3z^{8}a^{-4}-20z^{8}a^{-6}-43z^{8}a^{-8}-19z^{8}a^{-10}+z^{8}a^{-12}+z^{7}a^{-3}-21z^{7}a^{-5}-51z^{7}a^{-7}-47z^{7}a^{-9}-18z^{7}a^{-11}-7z^{6}a^{-4}+17z^{6}a^{-6}+43z^{6}a^{-8}+15z^{6}a^{-10}-4z^{6}a^{-12}+25z^{5}a^{-5}+75z^{5}a^{-7}+75z^{5}a^{-9}+25z^{5}a^{-11}+3z^{4}a^{-2}+9z^{4}a^{-4}-7z^{4}a^{-6}-15z^{4}a^{-8}+3z^{4}a^{-10}+5z^{4}a^{-12}+z^{3}a^{-1}+2z^{3}a^{-3}-11z^{3}a^{-5}-42z^{3}a^{-7}-43z^{3}a^{-9}-13z^{3}a^{-11}-3z^{2}a^{-2}-7z^{2}a^{-4}+5z^{2}a^{-6}+8z^{2}a^{-8}-3z^{2}a^{-10}-2z^{2}a^{-12}-za^{-1}-2za^{-3}+9za^{-7}+10za^{-9}+2za^{-11}+a^{-2}+3a^{-4}-2a^{-6}-4a^{-8}-a^{-10}$

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.