Template:Link Page: Difference between revisions

Revision as of 20:23, 24 August 2007

See the full Thistlethwaite Link Table (up to 11 crossings).

Visit [{{{KnotilusURL}}} Link Page's page] at Knotilus.

Planar diagram presentation	Data:Link Page/PD Presentation
Gauss code	Data:Link Page/Gauss Code

A Braid Representative	{{{braid_table}}}
A Morse Link Presentation	File:Link Page ML.gif

Multivariable Alexander Polynomial (in $u$ , $v$ , $w$ , ...)	Data:Link Page/Multivariable Alexander (db)
Jones polynomial	Data:Link Page/Jones Polynomial (db)
Signature	Data:Link Page/Signature (db)
HOMFLY-PT polynomial	Data:Link Page/HOMFLYPT Polynomial (db)
Kauffman polynomial	Data:Link Page/Kauffman Polynomial (db)

The coefficients of the monomials

t^{r}q^{j}

are shown, along with their alternating sums

\chi

(fixed

j

, alternation over

r

). The squares with yellow highlighting are those on the "critical diagonals", where

j-2r=s+1

or

j-2r=s-1

, where

s=

Data:Link Page/Signature is the signature of Link Page. Nonzero entries off the critical diagonals (if any exist) are highlighted in red.

Much of the above data can be recomputed by Mathematica using the package KnotTheory`. See A Sample KnotTheory` Session.

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-=== Modifying This Page ===
-{| width=100%
-|- valign=bottom
-|align=left|'''Read me first:''' [[Modifying Knot Pages]]
-See/edit the [[Template:Link Page|Link Page]] master template (intermediate).
-See/edit the [[Link_Splice_Base]] (expert).
-Back to the [[#top|top]].
-|align=right|{{Knot Navigation Links|ext=gif}}
-|}
-</div>
-[[Category:Knot Page]]