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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3A10_1%2FA-polynomial</id>
	<title>Data:10 1/A-polynomial - Revision history</title>
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	<updated>2026-07-15T10:27:02Z</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:10_1/A-polynomial&amp;diff=1713494&amp;oldid=prev</id>
		<title>ScottDataRobot at 02:27, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:10_1/A-polynomial&amp;diff=1713494&amp;oldid=prev"/>
		<updated>2013-02-20T02:27:55Z</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 22:27, 19 February 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;
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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;L^8 M^{16}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M&lt;/del&gt;^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{16}+L&lt;/del&gt; \left(-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 &lt;/del&gt;M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7 &lt;/del&gt;M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/del&gt;}+5 M^{16}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M^2-1\right)+L^2 \left(6&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/del&gt;}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;21&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3 M^{20}+25 M^{18}+15 M^{16}+5 M^6+M^4-9 M^2+3&lt;/del&gt;\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; \left(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;28&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+21&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;26&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-24 &lt;/del&gt;M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-25&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;45&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;35&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+15&lt;/del&gt; M^{10}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-15 M^6-16 M^4+15 M^2-3&lt;/del&gt;\right)+L^5 \left(-3 M^{32}+15 M^{30}-16 M^{28}-15 M^{26}+4 M^{24}+15 M^{22}+35 M^{16}+45 M^{14}+8 M^{12}-25 M^{10}-24 M^8+21 M^6-4 M^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\right)+L^7 \left(-M^{32}+M^{30}+5 M^{16}+7 M^{14}-4 M^{12}&lt;/del&gt;\right)+L^4 \left(M^{32}-7 M^{30}+19 M^{28}-15 M^{26}-9 M^{24}-13 M^{22}-11 M^{20}+35 M^{18}+70 M^{16}+35 M^{14}-11 M^{12}-13 M^{10}-9 M^8-15 M^6+19 M^4-7 M^2+1\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt; \left(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;32&lt;/del&gt;}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;30&lt;/del&gt;}+M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;28&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;26&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/del&gt; M^{16}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;25&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/del&gt;}+3 M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/del&gt;}-21 M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10&lt;/del&gt;}+6 M^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/del&gt;\right)&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;L^8 M^{16}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;L&lt;/ins&gt;^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt; \left(-M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;32&lt;/ins&gt;}+M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;30&lt;/ins&gt;}+5 M^{16}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/ins&gt;}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/ins&gt;}\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; \left(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;32&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;30&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;28&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;26&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;25&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-21&lt;/ins&gt; M^{10}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; M^8\right)+L^5 \left(-3 M^{32}+15 M^{30}-16 M^{28}-15 M^{26}+4 M^{24}+15 M^{22}+35 M^{16}+45 M^{14}+8 M^{12}-25 M^{10}-24 M^8+21 M^6-4 M^4\right)+L^4 \left(M^{32}-7 M^{30}+19 M^{28}-15 M^{26}-9 M^{24}-13 M^{22}-11 M^{20}+35 M^{18}+70 M^{16}+35 M^{14}-11 M^{12}-13 M^{10}-9 M^8-15 M^6+19 M^4-7 M^2+1\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; \left(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;28}+21 M^{26&lt;/ins&gt;}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24}-25 M^{22&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8 &lt;/ins&gt;M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;45&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;35&lt;/ins&gt; M^{16}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 M^8-15 M^6-16 M^4+15 M^2-&lt;/ins&gt;3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\right)+L^2 \left(6&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/ins&gt;}-21 M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 M^{20}+25 M^{18}+15 M^{16}+5 M^&lt;/ins&gt;6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+M^4-9&lt;/ins&gt; M^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+3&lt;/ins&gt;\right)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+L \left(-4 M^{20}+7 M^{18}+5 M^{16}+M^2-1\right)+M^{16}&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:10_1/A-polynomial&amp;diff=146989&amp;oldid=prev</id>
		<title>ScottDataRobot at 23:33, 25 May 2006</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:10_1/A-polynomial&amp;diff=146989&amp;oldid=prev"/>
		<updated>2006-05-25T23:33:47Z</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;L^8 M^{16}+M^{16}+L \left(-4 M^{20}+7 M^{18}+5 M^{16}+M^2-1\right)+L^2 \left(6 M^{24}-21 M^{22}+3 M^{20}+25 M^{18}+15 M^{16}+5 M^6+M^4-9 M^2+3\right)+L^3 \left(-4 M^{28}+21 M^{26}-24 M^{24}-25 M^{22}+8 M^{20}+45 M^{18}+35 M^{16}+15 M^{10}+4 M^8-15 M^6-16 M^4+15 M^2-3\right)+L^5 \left(-3 M^{32}+15 M^{30}-16 M^{28}-15 M^{26}+4 M^{24}+15 M^{22}+35 M^{16}+45 M^{14}+8 M^{12}-25 M^{10}-24 M^8+21 M^6-4 M^4\right)+L^7 \left(-M^{32}+M^{30}+5 M^{16}+7 M^{14}-4 M^{12}\right)+L^4 \left(M^{32}-7 M^{30}+19 M^{28}-15 M^{26}-9 M^{24}-13 M^{22}-11 M^{20}+35 M^{18}+70 M^{16}+35 M^{14}-11 M^{12}-13 M^{10}-9 M^8-15 M^6+19 M^4-7 M^2+1\right)+L^6 \left(3 M^{32}-9 M^{30}+M^{28}+5 M^{26}+15 M^{16}+25 M^{14}+3 M^{12}-21 M^{10}+6 M^8\right)&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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