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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3A7_4%2FKauffman_Polynomial</id>
	<title>Data:7 4/Kauffman Polynomial - Revision history</title>
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	<updated>2026-04-05T21:15:15Z</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=Data:7_4/Kauffman_Polynomial&amp;diff=61391&amp;oldid=prev</id>
		<title>ScottDataRobot at 16:47, 24 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:7_4/Kauffman_Polynomial&amp;diff=61391&amp;oldid=prev"/>
		<updated>2005-08-24T16:47:43Z</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 12:47, 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;
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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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^6}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^8}+&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^5}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;3 z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^7}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^9}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;3 z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^4}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;3 z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^8}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^3}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;2 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^5}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;8 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^7}-&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^9}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;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;4 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^4}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;3 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^6}+&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^8}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;4 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^7}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{&lt;/del&gt;4 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;a^9}+&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^4}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{1}{&lt;/del&gt;a^8}&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;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;6}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+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;8}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+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;5}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+3 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;7}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+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;9}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+3 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;-3 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;8}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+2 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 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;5}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-8 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;7}&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;9}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+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;-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;4}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;-3 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;6}&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;8}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+4 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;7}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;+4 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;9}&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;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;-&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;8}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;&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:7_4/Kauffman_Polynomial&amp;diff=1362&amp;oldid=prev</id>
		<title>ScottDataRobot at 00:30, 24 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:7_4/Kauffman_Polynomial&amp;diff=1362&amp;oldid=prev"/>
		<updated>2005-08-24T00:30:03Z</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;\frac{z^6}{a^6}+\frac{z^6}{a^8}+\frac{2 z^5}{a^5}+\frac{3 z^5}{a^7}+\frac{z^5}{a^9}+\frac{3 z^4}{a^4}-\frac{3 z^4}{a^8}+\frac{2 z^3}{a^3}-\frac{2 z^3}{a^5}-\frac{8 z^3}{a^7}-\frac{4 z^3}{a^9}+\frac{z^2}{a^2}-\frac{4 z^2}{a^4}-\frac{3 z^2}{a^6}+\frac{2 z^2}{a^8}+\frac{4 z}{a^7}+\frac{4 z}{a^9}+\frac{2}{a^4}-\frac{1}{a^8}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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