L5a1
From Knot Atlas



(Knotscape image) 
See the full Thistlethwaite Link Table (up to 11 crossings). 
L5a1 is in Rolfsen's Table of Links. It is also known as the "Whitehead Link". 
Link Presentations
[edit Notes on L5a1's Link Presentations]
Planar diagram presentation  X_{6172} X_{10,7,5,8} X_{4516} X_{2,10,3,9} X_{8493} 
Gauss code  {1, 4, 5, 3}, {3, 1, 2, 5, 4, 2} 
A Braid Representative   
A Morse Link Presentation 
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...)  (db) 
Jones polynomial  (db) 
Signature  1 (db) 
HOMFLYPT polynomial  (db) 
Kauffman polynomial  (db) 
Khovanov Homology
The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). 

Integral Khovanov Homology
(db, data source) 

Computer Talk
Much of the above data can be recomputed by Mathematica using the package KnotTheory`
. See A Sample KnotTheory` Session.
Modifying This Page
Read me first: Modifying Knot Pages
See/edit the Link Page master template (intermediate). See/edit the Link_Splice_Base (expert). Back to the top. 
