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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL10n108%2FKauffman_Polynomial</id>
	<title>Data:L10n108/Kauffman Polynomial - Revision history</title>
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	<updated>2026-06-16T01:58:19Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L10n108/Kauffman_Polynomial&amp;diff=1716953&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:12, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L10n108/Kauffman_Polynomial&amp;diff=1716953&amp;oldid=prev"/>
		<updated>2013-02-20T21:12:23Z</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 17:12, 20 February 2013&lt;/td&gt;
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  &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;-z &lt;/del&gt;a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2 &lt;/del&gt;a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^3 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 &lt;/del&gt;a^9 z^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/del&gt;} +a^9 z^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt;} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;2 z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; z^4 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8-&lt;/del&gt;3 a^8 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;10 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 z^7 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+16&lt;/del&gt; z^5 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-28&lt;/del&gt; z^3 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+25&lt;/del&gt; z a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;12 a^7 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3} -z^8&lt;/del&gt; a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z^6 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; z^4 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-23&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^6-&lt;/del&gt;6 a^6 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;19 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;4 z^7 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+22&lt;/del&gt; z^5 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-37&lt;/del&gt; z^3 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+27&lt;/del&gt; z a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;12 a^5 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3} -z^8&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4+&lt;/del&gt;4 z^6 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^4-&lt;/del&gt;3 a^4 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;10 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^7 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; z^5 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; 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;+11&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;^3-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; a^3 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-1}&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;a^3 z^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt;} &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^{11}&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^{10} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;3 a^9 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;-a^9 z^{-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8 a^9 z&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 &lt;/ins&gt;a^9 z^{-&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&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8&lt;/ins&gt; z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; a^8 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/ins&gt; a^8 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;3 a^8 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;10 a^8&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; a^7&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-16&lt;/ins&gt; a^7 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+28&lt;/ins&gt; a^7 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;3 a^7 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -25&lt;/ins&gt; a^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;12 a^7 z^{-1} +a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; a^6 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; a^6 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+23&lt;/ins&gt; a^6 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;6 a^6 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;19 a^6&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; a^5&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-22&lt;/ins&gt; a^5 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+37&lt;/ins&gt; a^5 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;3 a^5 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -27&lt;/ins&gt; a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;12 a^5 z^{-1} +a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; a^4 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&lt;/ins&gt; a^4 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;3 a^4 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;10 a^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a^3 &lt;/ins&gt;z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; a^3 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/ins&gt; a^3 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^3 z^&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;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11&lt;/ins&gt; a^3 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/ins&gt; a^3 z^{-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/ins&gt;} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L10n108/Kauffman_Polynomial&amp;diff=73425&amp;oldid=prev</id>
		<title>ScottDataRobot at 12:42, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L10n108/Kauffman_Polynomial&amp;diff=73425&amp;oldid=prev"/>
		<updated>2005-08-26T12:42:23Z</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;-z a^{11}-z^2 a^{10}-3 z^3 a^9+8 z a^9-5 a^9 z^{-1} +a^9 z^{-3} -2 z^6 a^8+9 z^4 a^8-13 z^2 a^8-3 a^8 z^{-2} +10 a^8-3 z^7 a^7+16 z^5 a^7-28 z^3 a^7+25 z a^7-12 a^7 z^{-1} +3 a^7 z^{-3} -z^8 a^6+2 z^6 a^6+9 z^4 a^6-23 z^2 a^6-6 a^6 z^{-2} +19 a^6-4 z^7 a^5+22 z^5 a^5-37 z^3 a^5+27 z a^5-12 a^5 z^{-1} +3 a^5 z^{-3} -z^8 a^4+4 z^6 a^4-11 z^2 a^4-3 a^4 z^{-2} +10 a^4-z^7 a^3+6 z^5 a^3-12 z^3 a^3+11 z a^3-5 a^3 z^{-1} +a^3 z^{-3} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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