K13n2980

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n2980

Polynomial invariants

Jones polynomial	Data:K13n2980/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-21t^{2}+38t-45+38t^{-1}-21t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K13n2980/Conway Polynomial
Determinant	179
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-6z^{4}a^{-2}+2z^{4}a^{-4}+6z^{4}-2a^{2}z^{2}-4z^{2}a^{-2}+z^{2}a^{-4}+6z^{2}-a^{2}-a^{-2}+3$
Kauffman polynomial	$2z^{11}a^{-1}+2z^{11}a^{-3}+11z^{10}a^{-2}+5z^{10}a^{-4}+6z^{10}+7az^{9}+12z^{9}a^{-1}+9z^{9}a^{-3}+4z^{9}a^{-5}+4a^{2}z^{8}-15z^{8}a^{-2}-4z^{8}a^{-4}+z^{8}a^{-6}-6z^{8}+a^{3}z^{7}-18az^{7}-40z^{7}a^{-1}-21z^{7}a^{-3}-12a^{2}z^{6}-12z^{6}a^{-2}+4z^{6}a^{-4}+8z^{6}a^{-6}-20z^{6}-3a^{3}z^{5}+10az^{5}+23z^{5}a^{-1}+7z^{5}a^{-3}+2z^{5}a^{-5}+5z^{5}a^{-7}+12a^{2}z^{4}+16z^{4}a^{-2}-4z^{4}a^{-4}-5z^{4}a^{-6}+z^{4}a^{-8}+26z^{4}+3a^{3}z^{3}+2az^{3}+2z^{3}a^{-3}-z^{3}a^{-5}-2z^{3}a^{-7}-5a^{2}z^{2}-6z^{2}a^{-2}+z^{2}a^{-4}+z^{2}a^{-6}-11z^{2}-a^{3}z-2az-2za^{-1}-za^{-3}+a^{2}+a^{-2}+3$

Modifying This Page

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