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{|
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| valign="top" rowspan=2 | [[Image:{{PAGENAME}}.gif]]
| valign="top" rowspan=2 align=center| [[Image:{{PAGENAME}}.gif]]<br><font size=-2>([[Further_Knot_Theory_Software#Knotscape|Knotscape]] image)</font>
|See the full [[The Thistlethwaite Link Table|Thistlethwaite Link Table]] (up to 11 crossings).
| Visit [{{{KnotilusURL}}} {{PAGENAME}}'s page] at [http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/html/start.html Knotilus]!
Visit [http://knotilus.math.uwo.ca/draw.php?knot={{Data:{{PAGENAME}}/KnotilusGaussCode}} {{PAGENAME}}] at [http://knotilus.math.uwo.ca/ Knotilus]!

Visit [http://www.math.toronto.edu/~drorbn/KAtlas/Links/{{{n}}}{{{t}}}{{{k}}}.html {{PAGENAME}}'s page] at the original [http://www.math.toronto.edu/~drorbn/KAtlas/index.html Knot Atlas]!
|-
|-
| valign="top" | [{{SERVER}}{{localurl:{{PAGENAME}} Quick Notes|action=edit}} edit or add a short note]
| valign="top" | {{floating edit link|{{PAGENAME}} Quick Notes}}
{{#ifexist:{{PAGENAME}} Quick Notes|{{:{{PAGENAME}} Quick Notes}}|}}

<ifpageexists>{{:{{PAGENAME}} Quick Notes}}</ifpageexists>
|}
|}


[{{SERVER}}{{localurl:{{PAGENAME}} Further Notes and Views|action=edit}} edit or add notes]
{{floating edit link|{{PAGENAME}} Further Notes and Views}}
<ifpageexists>{{:{{PAGENAME}} Further Notes and Views}}</ifpageexists>
{{#ifexist:{{PAGENAME}} Further Notes and Views|{{:{{PAGENAME}} Further Notes and Views}}|}}

<br style="clear:both" />

===Knot presentations===


<div style="border: solid pink 1px">
===Link Presentations===
<!-- first some comments, and an 'edit comments' link -->
{{edit link|Notes on {{PAGENAME}}'s Link Presentations}}
{{#ifexist:Notes on {{PAGENAME}}'s Link Presentations|{{:Notes on {{PAGENAME}}'s Link Presentations}}|}}
{|
{|
|- valign=top
|'''[[Planar Diagrams|Planar diagram presentation]]'''
|'''[[Planar Diagrams|Planar diagram presentation]]'''
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/PD Presentation}}
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/PD Presentation}}
|- valign=top
|-
|'''[[Gauss Codes|Gauss code]]'''
|'''[[Gauss Codes|Gauss code]]'''
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/Gauss Code}}
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/Gauss Code}}
|-
|}
{|
|'''[[Lightly_Documented_Features|A Morse Link Presentation]]'''
|- valign=top
|'''[[Braid Representatives|A Braid Representative]]'''
|style="padding-left: 1em;" | {{{braid_table}}}
|- valign=top
|'''[[MorseLink Presentations|A Morse Link Presentation]]'''
|style="padding-left: 1em;" | [[Image:{{PAGENAME}}_ML.gif]]
|style="padding-left: 1em;" | [[Image:{{PAGENAME}}_ML.gif]]
|}
|}
</div>

{{Link Polynomial Invariants}}
{{Link Polynomial Invariants}}
{{Link Khovanov Homology|table={{{khovanov_table}}}}}
{{Vassiliev Invariants}}

{{Khovanov Homology|table={{{khovanov_table}}}}}

{{Computer Talk Header}}
{{Computer Talk Header}}
<div style="border: solid pink 1px">
{{{computer_talk}}}


=== Modifying This Page ===
{| width=100%
{| width=100%
|- valign=bottom
|- valign=bottom
|align=left|See/edit the [[Template:Link Page|Link Page]] template.
|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]].
See/edit the [[Link_Splice_Base]] (expert).


Back to the [[#top|top]].
Back to the [[#top|top]].
|align=right|{{Knot Navigation Links|ext=gif}}
|align=right|{{Knot Navigation Links|ext=gif}}
|}
|}
</div>


[[Category:Knot Page]]
[[Category:Knot Page]]

Latest revision as of 01:30, 3 July 2015

[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]]

[[Data:Link Page/Previous Knot]]

[[Image:Data:Link Page/Next Knot.gif|80px|link=Data:Link Page/Next Knot]]

[[Data:Link Page/Next Knot]]

File:Link Page.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit Data:Link Page/KnotilusGaussCode Link Page at Knotilus!


Khovanov Homology

The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ).    Data:Link Page/KhovanovTable
Integral Khovanov Homology

(db, data source)

   Data:Link Page/Integral Khovanov Homology

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.

[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]]

[[Data:Link Page/Previous Knot]]

[[Image:Data:Link Page/Next Knot.gif|80px|link=Data:Link Page/Next Knot]]

[[Data:Link Page/Next Knot]]