K13a3934

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a3934

Polynomial invariants

Jones polynomial	Data:K13a3934/Jones Polynomial
Alexander polynomial	$2t^{4}-16t^{3}+56t^{2}-114t+145-114t^{-1}+56t^{-2}-16t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a3934/Conway Polynomial
Determinant	521
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+2z^{6}a^{-2}-z^{6}a^{-4}+z^{6}+a^{4}z^{4}-2a^{2}z^{4}+2z^{4}a^{-2}-z^{4}a^{-4}-z^{2}a^{-2}-z^{2}+a^{2}-a^{-2}+a^{-4}$
Kauffman polynomial	$7z^{12}a^{-2}+7z^{12}+22az^{11}+42z^{11}a^{-1}+20z^{11}a^{-3}+32a^{2}z^{10}+41z^{10}a^{-2}+24z^{10}a^{-4}+49z^{10}+29a^{3}z^{9}-63z^{9}a^{-1}-18z^{9}a^{-3}+16z^{9}a^{-5}+17a^{4}z^{8}-42a^{2}z^{8}-126z^{8}a^{-2}-49z^{8}a^{-4}+6z^{8}a^{-6}-130z^{8}+6a^{5}z^{7}-44a^{3}z^{7}-64az^{7}-14z^{7}a^{-1}-34z^{7}a^{-3}-33z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-21a^{4}z^{6}+5a^{2}z^{6}+99z^{6}a^{-2}+27z^{6}a^{-4}-10z^{6}a^{-6}+89z^{6}-4a^{5}z^{5}+21a^{3}z^{5}+53az^{5}+50z^{5}a^{-1}+43z^{5}a^{-3}+20z^{5}a^{-5}-z^{5}a^{-7}+7a^{4}z^{4}+7a^{2}z^{4}-21z^{4}a^{-2}-z^{4}a^{-4}+4z^{4}a^{-6}-16z^{4}-3a^{3}z^{3}-11az^{3}-20z^{3}a^{-1}-15z^{3}a^{-3}-3z^{3}a^{-5}+a^{2}z^{2}-4z^{2}a^{-2}-3z^{2}a^{-4}+2za^{-1}+2za^{-3}-a^{2}+a^{-2}+a^{-4}$

Modifying This Page

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