Template:Similar Knots: Difference between revisions

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==="Similar" Knots (within the Atlas)===
<a href=' http://wwwxtracum.klinger.dtdns.net '> wwwxtracum </a> <br />
Same [[The Alexander-Conway Polynomial|Alexander/Conway Polynomial]]:
<a href=' http://www-xtracum.klinger.dtdns.net '> www xtracum </a> <br />
{{{{same_alexander}}}}
<a href=' http://hangoff.klinger.dtdns.net '> hangoff </a> <br />

<a href=' http://hangoffnet.klinger.dtdns.net '> hangoffnet </a> <br />
Same [[The Jones Polynomial|Jones Polynomial]] (up to mirroring, <math>q\leftrightarrow q^{-1}</math>):
<a href=' http://hangoff-net.klinger.dtdns.net '> hangoff net </a> <br />
{{{{same_jones}}}}
<a href=' http://wwwhangoffnet.klinger.dtdns.net '> wwwhangoffnet </a> <br />

<a href=' http://www-hangoff-net.klinger.dtdns.net '> www hangoff net </a> <br />
<div class="NavFrame"><div class="NavHead">Computer Talk</div>
<a href=' http://wwwhangoff.klinger.dtdns.net '> wwwhangoff </a> <br />
<div class="NavContent">The above data is available with the [http://www.wolfram.com/ Mathematica] package [[The Mathematica Package KnotTheory`|<code>KnotTheory`</code>]]. Your input (in <font color=red>red</font>) is realistic; all else should have the same content as in a real mathematica session, but with different formatting.
<a href=' http://www-hangoff.klinger.dtdns.net '> www hangoff </a> <br />
<!-- The following is meant to be similar to the notebook in http://katlas.math.toronto.edu/svn/KnotAtlas/RolfsenKnotPageSession.nb -->
<a href=' http://maxpassion.klinger.dtdns.net '> maxpassion </a> <br />

<a href=' http://maxpassionbiz.klinger.dtdns.net '> maxpassionbiz </a> <br />
(The path below may be different on your system, and possibly also the <tt>KnotTheory`</tt> date)
<a href=' http://maxpassion-biz.klinger.dtdns.net '> maxpassion biz </a> <br />

<a href=' http://wwwmaxpassionbiz.klinger.dtdns.net '> wwwmaxpassionbiz </a> <br />
{{In|n=1|in=<nowiki>AppendTo[$Path, "C:/drorbn/projects/KAtlas/"];
<a href=' http://www-maxpassion-biz.klinger.dtdns.net '> www maxpassion biz </a> <br />
<< KnotTheory`</nowiki>}}
<a href=' http://wwwmaxpassion.klinger.dtdns.net '> wwwmaxpassion </a> <br />

<a href=' http://www-maxpassion.klinger.dtdns.net '> www maxpassion </a> <br />
{{Print|Loading KnotTheory` version of May 31, 2006, 14:15:20.091.
<a href=' http://acnope.klinger.dtdns.net '> acnope </a> <br />
Read more at http://katlas.math.toronto.edu/wiki/KnotTheory.}}
<a href=' http://acnopecom.klinger.dtdns.net '> acnopecom </a> <br />

<a href=' http://acnope-com.klinger.dtdns.net '> acnope com </a> <br />
{|
<a href=' http://wwwacnopecom.klinger.dtdns.net '> wwwacnopecom </a> <br />
|- align=left valign=top
<a href=' http://www-acnope-com.klinger.dtdns.net '> www acnope com </a> <br />
|width=70px|<code style="color: blue; border: 0px; padding: 0em">In[3]:=</code>
<a href=' http://wwwacnope.klinger.dtdns.net '> wwwacnope </a> <br />
|<code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);">K = Knot["{{PAGENAME}}"];</code>
<a href=' http://www-acnope.klinger.dtdns.net '> www acnope </a> <br />
|}
<a href=' http://herbalzilla.klinger.dtdns.net '> herbalzilla </a> <br />

<a href=' http://herbalzillacom.klinger.dtdns.net '> herbalzillacom </a> <br />
{{In|n=4|in=<nowiki>{A = Alexander[K][t], J = Jones[K][q]}</nowiki>}}
<a href=' http://herbalzilla-com.klinger.dtdns.net '> herbalzilla com </a> <br />

<a href=' http://wwwherbalzillacom.klinger.dtdns.net '> wwwherbalzillacom </a> <br />
{{Message|KnotTheory::loading: Loading precomputed data in PD4Knots`.}}
<a href=' http://www-herbalzilla-com.klinger.dtdns.net '> www herbalzilla com </a> <br />

<a href=' http://wwwherbalzilla.klinger.dtdns.net '> wwwherbalzilla </a> <br />
{{Message|KnotTheory::loading: Loading precomputed data in Jones4Knots`.}}
<a href=' http://www-herbalzilla.klinger.dtdns.net '> www herbalzilla </a> <br />

<a href=' http://freepepills.klinger.dtdns.net '> freepepills </a> <br />
{{FreeStyleOut|4}}
<a href=' http://freepepillscom.klinger.dtdns.net '> freepepillscom </a> <br />
| { {{Data:{{PAGENAME}}/Alexander Polynomial}}, {{Data:{{PAGENAME}}/Jones Polynomial}} }
<a href=' http://freepepills-com.klinger.dtdns.net '> freepepills com </a> <br />
|}
<a href=' http://wwwfreepepillscom.klinger.dtdns.net '> wwwfreepepillscom </a> <br />

<a href=' http://www-freepepills-com.klinger.dtdns.net '> www freepepills com </a> <br />
{{In|n=5|in=<nowiki>DeleteCases[Select[AllKnots[], (A === Alexander[#][t]) &], K]</nowiki>}}
<a href=' http://wwwfreepepills.klinger.dtdns.net '> wwwfreepepills </a> <br />

<a href=' http://www-freepepills.klinger.dtdns.net '> www freepepills </a> <br />
{{Message|KnotTheory::loading: Loading precomputed data in DTCode4KnotsTo11`.}}
<a href=' http://wowpills.klinger.dtdns.net '> wowpills </a> <br />

<a href=' http://wowpillscom.klinger.dtdns.net '> wowpillscom </a> <br />
{{Message|KnotTheory::credits: The GaussCode to PD conversion was written by Siddarth Sankaran at the University of Toronto in the summer of 2005.}}
<a href=' http://wowpills-com.klinger.dtdns.net '> wowpills com </a> <br />

{{FreeStyleOut|5}}
| {{{{same_alexander}}}}
|}

{{In|n=6|in=<nowiki>DeleteCases[
Select[
AllKnots[],
(J === Jones[#][q] || (J /. q -> 1/q) === Jones[#][q]) &
],
K
]</nowiki>}}

{{Message|KnotTheory::loading: Loading precomputed data in Jones4Knots11`.}}

{{FreeStyleOut|6}}
| {{{{same_jones}}}}
|}
</div></div>

Latest revision as of 10:21, 13 August 2007

"Similar" Knots (within the Atlas)

Same Alexander/Conway Polynomial: {{{{same_alexander}}}}

Same Jones Polynomial (up to mirroring, ): {{{{same_jones}}}}