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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Bugs</id>
	<title>Bugs - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Bugs"/>
	<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Bugs&amp;action=history"/>
	<updated>2026-11-02T18:41:56Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.6</generator>
	<entry>
		<id>https://katlas.org/index.php?title=Bugs&amp;diff=1719461&amp;oldid=prev</id>
		<title>Turion at 15:49, 25 April 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Bugs&amp;diff=1719461&amp;oldid=prev"/>
		<updated>2013-04-25T15:49:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:49, 25 April 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Manual TOC Sidebar}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Manual TOC Sidebar}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. You can define [[Braid_Representatives|braids]] with kinks, though: &amp;lt;code&amp;gt;Kink = BR[2, {1}]&amp;lt;/code&amp;gt;. All knot invariants defined for braid representatives will be correctly evaluated. For example, the previously defined &amp;lt;code&amp;gt;Kink&amp;lt;/code&amp;gt; will of course have the same invariants as the unknot. However, don&#039;t try to transform the braid into a planar diagram (&amp;lt;code&amp;gt;PD[BR[2, {1}]]&amp;lt;/code&amp;gt;), as mathematica might hang up on that&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Many knot invariants (including &amp;lt;code&amp;gt;Jones&amp;lt;/code&amp;gt;) do not understand the (artificial but necessary) &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; construct &quot;&amp;lt;code&amp;gt;Loop&amp;lt;/code&amp;gt;&quot;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Many knot invariants (including &amp;lt;code&amp;gt;Jones&amp;lt;/code&amp;gt;) do not understand the (artificial but necessary) &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; construct &quot;&amp;lt;code&amp;gt;Loop&amp;lt;/code&amp;gt;&quot;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Mathematica 9 defines its own tensor product, which causes bugs with the QuantumGroups` package. Stick with Mathematica 7 or 8 until Scott has it fixed.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* For some unexplicable bugs (in Mathematica 8 only?), it appears helpful to state the &quot;context&quot; explicitly, e.g. &amp;lt;code&amp;gt;KnotTheory`BR&amp;lt;/code&amp;gt; instead of &amp;lt;code&amp;gt;BR&amp;lt;/code&amp;gt;, or &amp;lt;code&amp;gt;MirrorTrefoil = PD[KnotTheory`X[1, 5, 2, 4], KnotTheory`X[3, 1, 4, 6], KnotTheory`X[5, 3, 6, 2]]&amp;lt;/code&amp;gt; instead of &amp;lt;code&amp;gt;MirrorTrefoil = PD[X[1, 5, 2, 4], X[3, 1, 4, 6], X[5, 3, 6, 2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-1689157:rev-1719461:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>Turion</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Bugs&amp;diff=1689157&amp;oldid=prev</id>
		<title>Drorbn: Sorry, edits from 128.100.68.249 are mine (Dror).</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Bugs&amp;diff=1689157&amp;oldid=prev"/>
		<updated>2007-08-23T19:24:32Z</updated>

		<summary type="html">&lt;p&gt;Sorry, edits from 128.100.68.249 are mine (Dror).&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:24, 23 August 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Many knot invariants (including &amp;lt;code&amp;gt;Jones&amp;lt;/code&amp;gt;) do not understand the (artificial but necessary) &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; construct &quot;&amp;lt;code&amp;gt;Loop&amp;lt;/code&amp;gt;&quot;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Many knot invariants (including &amp;lt;code&amp;gt;Jones&amp;lt;/code&amp;gt;) do not understand the (artificial but necessary) &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; construct &quot;&amp;lt;code&amp;gt;Loop&amp;lt;/code&amp;gt;&quot;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Drorbn</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Bugs&amp;diff=1689156&amp;oldid=prev</id>
		<title>128.100.68.249 at 18:52, 23 August 2007</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Bugs&amp;diff=1689156&amp;oldid=prev"/>
		<updated>2007-08-23T18:52:50Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:52, 23 August 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Many knot invariants (including &amp;lt;code&amp;gt;Jones&amp;lt;/code&amp;gt;) do not understand the (artificial but necessary) &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; construct &quot;&amp;lt;code&amp;gt;Loop&amp;lt;/code&amp;gt;&quot;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-1689155:rev-1689156:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>128.100.68.249</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Bugs&amp;diff=1689155&amp;oldid=prev</id>
		<title>128.100.68.249: New page: {{Manual TOC Sidebar}}  * The &lt;code&gt;PD&lt;/code&gt; notation used by &lt;code&gt;KnotTheory`&lt;/code&gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientati...</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Bugs&amp;diff=1689155&amp;oldid=prev"/>
		<updated>2007-08-23T18:51:13Z</updated>

		<summary type="html">&lt;p&gt;New page: {{Manual TOC Sidebar}}  * The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientati...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Manual TOC Sidebar}}&lt;br /&gt;
&lt;br /&gt;
* The &amp;lt;code&amp;gt;PD&amp;lt;/code&amp;gt; notation used by &amp;lt;code&amp;gt;KnotTheory`&amp;lt;/code&amp;gt; is inadequate when a knot diagram contains kinks. For example, there is no way to tell the orientation of &amp;lt;code&amp;gt;PD[X[1,1,2,2]]&amp;lt;/code&amp;gt;.&lt;/div&gt;</summary>
		<author><name>128.100.68.249</name></author>
	</entry>
</feed>