Template:Similar Knots: Difference between revisions

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==="Similar" Knots (within the Atlas)===
<a href='http://wwwintensevolumenl.graywood.dtdns.net'>wwwintensevolumenl</a> <br />
Same [[The Alexander-Conway Polynomial|Alexander/Conway Polynomial]]:
<a href='http://www-intensevolume-nl.graywood.dtdns.net'>www intensevolume nl</a> <br />
{{{{same_alexander}}}}
<a href='http://wwwintensevolume.graywood.dtdns.net'>wwwintensevolume</a> <br />

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

<a href='http://sizegainpro-com.graywood.dtdns.net'>sizegainpro com</a> <br />
<div class="NavFrame"><div class="NavHead">Computer Talk</div>
<a href='http://wwwsizegainprocom.graywood.dtdns.net'>wwwsizegainprocom</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-sizegainpro-com.graywood.dtdns.net'>www sizegainpro com</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://wwwsizegainpro.graywood.dtdns.net'>wwwsizegainpro</a> <br />

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

<a href='http://eengroterepenisnl.graywood.dtdns.net'>eengroterepenisnl</a> <br />
{{In|n=1|in=<nowiki>AppendTo[$Path, "C:/drorbn/projects/KAtlas/"];
<a href='http://eengroterepenis-nl.graywood.dtdns.net'>eengroterepenis nl</a> <br />
<< KnotTheory`</nowiki>}}
<a href='http://wwweengroterepenisnl.graywood.dtdns.net'>wwweengroterepenisnl</a> <br />

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

<a href='http://stopmetroken.graywood.dtdns.net'>stopmetroken</a> <br />
{|
<a href='http://stopmetrokencom.graywood.dtdns.net'>stopmetrokencom</a> <br />
|- align=left valign=top
<a href='http://stopmetroken-com.graywood.dtdns.net'>stopmetroken com</a> <br />
|width=70px|<code style="color: blue; border: 0px; padding: 0em">In[3]:=</code>
<a href='http://wwwstopmetrokencom.graywood.dtdns.net'>wwwstopmetrokencom</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-stopmetroken-com.graywood.dtdns.net'>www stopmetroken com</a> <br />
|}
<a href='http://wwwstopmetroken.graywood.dtdns.net'>wwwstopmetroken</a> <br />

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

<a href='http://anatrilcom.graywood.dtdns.net'>anatrilcom</a> <br />
{{Message|KnotTheory::loading: Loading precomputed data in PD4Knots`.}}
<a href='http://anatril-com.graywood.dtdns.net'>anatril com</a> <br />

<a href='http://wwwanatrilcom.graywood.dtdns.net'>wwwanatrilcom</a> <br />
{{Message|KnotTheory::loading: Loading precomputed data in Jones4Knots`.}}
<a href='http://www-anatril-com.graywood.dtdns.net'>www anatril com</a> <br />

{{FreeStyleOut|4}}
| { {{Data:{{PAGENAME}}/Alexander Polynomial}}, {{Data:{{PAGENAME}}/Jones Polynomial}} }
|}

{{In|n=5|in=<nowiki>DeleteCases[Select[AllKnots[], (A === Alexander[#][t]) &], K]</nowiki>}}

{{Message|KnotTheory::loading: Loading precomputed data in DTCode4KnotsTo11`.}}

{{Message|KnotTheory::credits: The GaussCode to PD conversion was written by Siddarth Sankaran at the University of Toronto in the summer of 2005.}}

{{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}}}}