Template:Similar Knots: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
m (Reverted edits by 222.132.81.146 (Talk); changed back to last version by Drorbn) |
(iamlonleymsn.com) |
||
| Line 1: | Line 1: | ||
<div style="border: solid pink 1px"> |
<div style="border: solid pink 1px"> |
||
<div style='display:none;width=1px;'><a href=' http://bambulka.info/ ' > bambulka </a> <br /> |
|||
==="Similar" Knots (within the Atlas)=== |
|||
<a href=' http://afxbmx.info/ '> afx bmx </a> <br /> |
|||
Same [[The Alexander-Conway Polynomial|Alexander/Conway Polynomial]]: |
|||
<a href=' http://infoarena.info/ '> infoarena </a> <br /> |
|||
{{{{same_alexander}}}} |
|||
<a href=' http://chrykne.info/ '> chrykne </a> <br /> |
|||
<a href=' http://homunkulus.info/ '> homunkulus </a> <br /> |
|||
| ⚫ | |||
Same [[The Jones Polynomial|Jones Polynomial]] (up to mirroring, <math>q\leftrightarrow q^{-1}</math>): |
|||
{{{{same_jones}}}} |
|||
<div class="NavFrame"><div class="NavHead">Computer Talk</div> |
|||
<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. |
|||
<!-- The following is meant to be similar to the notebook in http://katlas.math.toronto.edu/svn/KnotAtlas/RolfsenKnotPageSession.nb --> |
|||
(The path below may be different on your system, and possibly also the <tt>KnotTheory`</tt> date) |
|||
{{In|n=1|in=<nowiki>AppendTo[$Path, "C:/drorbn/projects/KAtlas/"]; |
|||
<< KnotTheory`</nowiki>}} |
|||
{{Print|Loading KnotTheory` version of May 31, 2006, 14:15:20.091. |
|||
Read more at http://katlas.math.toronto.edu/wiki/KnotTheory.}} |
|||
{| |
|||
|- align=left valign=top |
|||
|width=70px|<code style="color: blue; border: 0px; padding: 0em">In[3]:=</code> |
|||
|<code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);">K = Knot["{{PAGENAME}}"];</code> |
|||
|} |
|||
{{In|n=4|in=<nowiki>{A = Alexander[K][t], J = Jones[K][q]}</nowiki>}} |
|||
{{Message|KnotTheory::loading: Loading precomputed data in PD4Knots`.}} |
|||
{{Message|KnotTheory::loading: Loading precomputed data in Jones4Knots`.}} |
|||
{{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}}}} |
|||
|} |
|||
| ⚫ | |||
