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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3A8_9%2FKauffman_Polynomial</id>
	<title>Data:8 9/Kauffman Polynomial - Revision history</title>
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	<updated>2026-04-05T19:52:12Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:8_9/Kauffman_Polynomial&amp;diff=61570&amp;oldid=prev</id>
		<title>ScottDataRobot at 18:01, 24 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:8_9/Kauffman_Polynomial&amp;diff=61570&amp;oldid=prev"/>
		<updated>2005-08-24T18:01:08Z</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 14:01, 24 August 2005&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; 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;math&amp;gt;a z^7+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a}+2 a^2 z^6+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2 z^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^2}+4 z^6+2 a^3 z^5+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2 z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^3}+a^4 z^4-4 a^2 z^4-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;4 z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^2}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^4}-10 z^4-4 a^3 z^3-a z^3-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;4 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^3}-2 a^4 z^2+4 a^2 z^2+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;4 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^2}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^4}+12 z^2+a^3 z+a z+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^3}-2 a^2-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^2}-3&amp;lt;/math&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;math&amp;gt;a z^7+z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-1&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+2 a^2 z^6+2 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+4 z^6+2 a^3 z^5+2 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;3}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+a^4 z^4-4 a^2 z^4-4 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;4}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-10 z^4-4 a^3 z^3-a z^3-z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-1&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-4 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;3}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-2 a^4 z^2+4 a^2 z^2+4 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-2 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;4}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+12 z^2+a^3 z+a z+z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-1&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;3}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-2 a^2-2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-3&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:8_9/Kauffman_Polynomial&amp;diff=1455&amp;oldid=prev</id>
		<title>ScottDataRobot at 15:32, 24 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:8_9/Kauffman_Polynomial&amp;diff=1455&amp;oldid=prev"/>
		<updated>2005-08-24T15:32:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt;a z^7+\frac{z^7}{a}+2 a^2 z^6+\frac{2 z^6}{a^2}+4 z^6+2 a^3 z^5+\frac{2 z^5}{a^3}+a^4 z^4-4 a^2 z^4-\frac{4 z^4}{a^2}+\frac{z^4}{a^4}-10 z^4-4 a^3 z^3-a z^3-\frac{z^3}{a}-\frac{4 z^3}{a^3}-2 a^4 z^2+4 a^2 z^2+\frac{4 z^2}{a^2}-\frac{2 z^2}{a^4}+12 z^2+a^3 z+a z+\frac{z}{a}+\frac{z}{a^3}-2 a^2-\frac{2}{a^2}-3&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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