<?xml version="1.0"?>
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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=10_161</id>
	<title>10 161 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=10_161"/>
	<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;action=history"/>
	<updated>2026-04-06T01:17:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=61287&amp;oldid=prev</id>
		<title>ScottTestRobot at 21:57, 1 September 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=61287&amp;oldid=prev"/>
		<updated>2005-09-01T21:57:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_161&amp;amp;diff=61287&amp;amp;oldid=42769&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=42769&amp;oldid=prev</id>
		<title>DrorsRobot at 22:41, 31 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=42769&amp;oldid=prev"/>
		<updated>2005-08-31T22:41:18Z</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 18:41, 31 August 2005&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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  &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;&amp;lt;!-- This page was generated from the splice template &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Rolfsen_Splice_Base]]&lt;/ins&gt;. Please do not edit!&lt;/div&gt;&lt;/td&gt;
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  &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;&amp;lt;!-- You probably want to edit the template referred to immediately below. (See [[Category:Knot Page Template]].)&lt;/div&gt;&lt;/td&gt;
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  &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;&amp;lt;!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Rolfsen_Splice_Base]]. --&amp;gt;&lt;/div&gt;&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
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  &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;
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  &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;{{Rolfsen Knot Page|&lt;/div&gt;&lt;/td&gt;
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  &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;{{Rolfsen Knot Page|&lt;/div&gt;&lt;/td&gt;
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  &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;n = 10 |&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 47:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 50:&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;         &amp;lt;td align=left&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;amp;lt;&amp;amp;lt; KnotTheory`&amp;lt;/pre&amp;gt;&amp;lt;/td&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;         &amp;lt;td align=left&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;amp;lt;&amp;amp;lt; KnotTheory`&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;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;div&gt;         &amp;lt;/tr&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;         &amp;lt;/tr&amp;gt;&lt;/div&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td colspan=2&amp;gt;Loading KnotTheory` (version of August 29, 2005, 15:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;33&lt;/del&gt;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11&lt;/del&gt;)...&amp;lt;/td&amp;gt;&amp;lt;/tr&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td colspan=2&amp;gt;Loading KnotTheory` (version of August 29, 2005, 15:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;27&lt;/ins&gt;:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;48&lt;/ins&gt;)...&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[2]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[Knot[10, 161]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[2]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[Knot[10, 161]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[2]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[X[1, 4, 2, 5], X[3, 12, 4, 13], X[7, 14, 8, 15], X[18, 9, 19, 10], &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;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[2]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[X[1, 4, 2, 5], X[3, 12, 4, 13], X[7, 14, 8, 15], X[18, 9, 19, 10], &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 67:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 70:&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;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[7]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;3&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&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;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[7]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;3&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;         &amp;lt;tr  valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: blue; border: 0px; padding:  0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[8]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red;  border: 0px; padding:  0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Show[DrawMorseLink[Knot[10, 161]]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td  align=left&amp;gt;[[Image:10_161_ML.gif]]&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;tt&amp;gt;&amp;lt;font  color=blue&amp;gt;Out[8]=&amp;lt;/font&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;td&amp;gt;&amp;lt;tt&amp;gt;&amp;lt;font  color=black&amp;gt;-Graphics-&amp;lt;/font&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[9]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;(#[Knot[10, 161]]&amp;amp;) /@ {&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;SymmetryType, UnknottingNumber, ThreeGenus, BridgeIndex, SuperBridgeIndex, NakanishiIndex}&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/del&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[9]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;(#[Knot[10, 161]]&amp;amp;) /@ {&lt;/div&gt;&lt;/td&gt;
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&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;                    SymmetryType, UnknottingNumber, ThreeGenus,&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;                    BridgeIndex, SuperBridgeIndex, NakanishiIndex&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;                   }&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[9]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;{Reversible, 3, 3, 3, NotAvailable, 1}&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&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;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[9]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;{Reversible, 3, 3, 3, NotAvailable, 1}&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[10]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;alex = Alexander[Knot[10, 161]][t]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&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;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[10]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;alex = Alexander[Knot[10, 161]][t]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-41861:rev-42769:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=41861&amp;oldid=prev</id>
		<title>ScottKnotPageRobot at 14:33, 30 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=41861&amp;oldid=prev"/>
		<updated>2005-08-30T14:33:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_161&amp;amp;diff=41861&amp;amp;oldid=36698&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottKnotPageRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=36698&amp;oldid=prev</id>
		<title>DrorsRobot at 01:00, 30 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=36698&amp;oldid=prev"/>
		<updated>2005-08-30T01:00:35Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&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 21:00, 29 August 2005&lt;/td&gt;
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&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
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  &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; [[Category:Knot Page]]&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; [[Category:Knot Page]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-36342:rev-36698:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=36342&amp;oldid=prev</id>
		<title>DrorsRobot at 21:59, 29 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=36342&amp;oldid=prev"/>
		<updated>2005-08-29T21:59:19Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_161&amp;amp;diff=36342&amp;amp;oldid=36072&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=36072&amp;oldid=prev</id>
		<title>ScottTestRobot at 00:06, 29 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=36072&amp;oldid=prev"/>
		<updated>2005-08-29T00:06:10Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&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 20:06, 28 August 2005&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
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&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;&amp;lt;!-- this relies on transclusion for next and previous links --&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;&amp;lt;!-- this relies on transclusion for next and previous links --&amp;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;div&gt;{{Knot Navigation Links|ext=gif}}&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;{{Knot Navigation Links|ext=gif}}&lt;/div&gt;&lt;/td&gt;
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  &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 colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-right&quot; title=&quot;Paragraph was moved. Click to jump to old location.&quot; href=&quot;#movedpara_10_2_lhs&quot;&gt;&amp;#x26AB;&lt;/a&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;&lt;a name=&quot;movedpara_8_0_rhs&quot;&gt;&lt;/a&gt;{{Rolfsen Knot &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Page&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Header&lt;/ins&gt;|n=10|k=161|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,6,-5,-3,8,4,-7,-10,2,-8,3,9,-6,7,-4,5,-9/goTop.html}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
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&lt;/tr&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-left&quot; title=&quot;Paragraph was moved. Click to jump to new location.&quot; href=&quot;#movedpara_8_0_rhs&quot;&gt;&amp;#x26AB;&lt;/a&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;&lt;a name=&quot;movedpara_10_2_lhs&quot;&gt;&lt;/a&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;{{Rolfsen Knot &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Site&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Links&lt;/del&gt;|n=10|k=161|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,6,-5,-3,8,4,-7,-10,2,-8,3,9,-6,7,-4,5,-9/goTop.html}}&lt;/div&gt;&lt;/td&gt;
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&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;|{{:{{PAGENAME}} Quick Notes}}&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
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  &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;|}&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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&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;&amp;lt;br style=&quot;clear:both&quot; /&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;&amp;lt;br style=&quot;clear:both&quot; /&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 21:&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;{{Vassiliev Invariants}}&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;{{Vassiliev Invariants}}&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===[[&lt;/del&gt;Khovanov Homology&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]=&lt;/del&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{&lt;/ins&gt;Khovanov Homology&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|table&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;table border&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&amp;gt;&lt;/ins&gt;&lt;/div&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;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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 coefficients of the monomials &amp;lt;math&amp;gt;t^rq^j&amp;lt;/math&amp;gt; are shown, along with their alternating sums &amp;lt;math&amp;gt;\chi&amp;lt;/math&amp;gt; (fixed &amp;lt;math&amp;gt;j&amp;lt;/math&amp;gt;, alternation over &amp;lt;math&amp;gt;r&amp;lt;/math&amp;gt;). The squares with &amp;lt;font class=HLYellow&amp;gt;yellow&amp;lt;/font&amp;gt; highlighting are those on the &quot;critical diagonals&quot;, where &amp;lt;math&amp;gt;j-2r=s+1&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;j-2r=s+1&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;s=&amp;lt;/math&amp;gt;{{Data:{{PAGENAME}}/Signature}} is the signature of {{PAGENAME}}. Nonzero entries off the critical diagonals (if any exist) are highlighted in &amp;lt;font class=HLRed&amp;gt;red&amp;lt;/font&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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;&amp;lt;center&amp;gt;&amp;lt;table border=1&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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;&amp;lt;tr align=center&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;&amp;lt;tr align=center&amp;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;div&gt;&amp;lt;td width=14.2857%&amp;gt;&amp;lt;table cellpadding=0 cellspacing=0&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;&amp;lt;td width=14.2857%&amp;gt;&amp;lt;table cellpadding=0 cellspacing=0&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 46:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 39:&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;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-21&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;0&amp;lt;/td&amp;gt;&amp;lt;/tr&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;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-21&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;0&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-23&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;1&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;-1&amp;lt;/td&amp;gt;&amp;lt;/tr&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;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-23&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;1&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;-1&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&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;&amp;lt;/table&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/center&amp;gt;&lt;/del&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;&amp;lt;/table&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&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;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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;{{Computer Talk Header}}&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;{{Computer Talk Header}}&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 colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 112:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 104:&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;  q   t    q   t    q   t    q   t    q   t    q  t    q  t&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&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;  q   t    q   t    q   t    q   t    q   t    q  t    q  t&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;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;div&gt;&amp;lt;/table&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;&amp;lt;/table&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 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; [[Category:Knot Page]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-25723:rev-36072:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=25723&amp;oldid=prev</id>
		<title>ScottTestRobot at 01:44, 28 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=25723&amp;oldid=prev"/>
		<updated>2005-08-28T01:44:50Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_161&amp;amp;diff=25723&amp;amp;oldid=4297&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_161&amp;diff=4297&amp;oldid=prev</id>
		<title>ScottKnotPageRobot: Resetting knot page to basic template.</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_161&amp;diff=4297&amp;oldid=prev"/>
		<updated>2005-08-23T22:51:47Z</updated>

		<summary type="html">&lt;p&gt;Resetting knot page to basic template.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Template:Basic Knot Invariants|name=10_161}}&lt;/div&gt;</summary>
		<author><name>ScottKnotPageRobot</name></author>
	</entry>
</feed>