https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a174%2FKauffman_Polynomial 2026-04-05T09:13:23Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a174/Kauffman_Polynomial&diff=1717213&oldid=prev 2013-02-20T21:17:52Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:17, 20 February 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="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;"><div>&lt;math&gt;-<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">{10}-</del>2 a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}-4</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-9 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-</del>5 a z^<del style="font-weight: bold; text-decoration: none;">9</del>-4 a^6 z^8-3 a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8-7</del> z^<del style="font-weight: bold; text-decoration: none;">8-3</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">7+</del>9 a^5 z^7+<del style="font-weight: bold; text-decoration: none;">26</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7+</del>8 a z^<del style="font-weight: bold; text-decoration: none;">7-6</del> z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-a^8 z^6</del>+<del style="font-weight: bold; text-decoration: none;">9</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6+</del>4 a^4 z^6+<del style="font-weight: bold; text-decoration: none;">14</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">3 z^6</del> a^<del style="font-weight: bold; text-decoration: none;">{-2} +17</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+9 a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">9</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">5-</del>35 a^3<del style="font-weight: bold; text-decoration: none;"> z^5-2 a</del> z^5+<del style="font-weight: bold; text-decoration: none;">14 </del>z^5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">z^5</del> a^<del style="font-weight: bold; text-decoration: none;">{-</del>3<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">+</del>3<del style="font-weight: bold; text-decoration: none;"> a^8</del> z^<del style="font-weight: bold; text-decoration: none;">4-</del>3 a^<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">z^4</del>-2 a^<del style="font-weight: bold; text-decoration: none;">4</del> z<del style="font-weight: bold; text-decoration: none;">^4-19</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^4+5 z^4 a</del>^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-18 z^4-7</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>+<del style="font-weight: bold; text-decoration: none;">8 a^5 z^</del>3<del style="font-weight: bold; text-decoration: none;">+18</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">11</del> a z^3<del style="font-weight: bold; text-decoration: none;">-12</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +2 z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^2<del style="font-weight: bold; text-decoration: none;">-</del>a<del style="font-weight: bold; text-decoration: none;">^6 z</del>^2+<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^4</del> z^<del style="font-weight: bold; text-decoration: none;">2+7</del> a<del style="font-weight: bold; text-decoration: none;">^2</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+6 z<del style="font-weight: bold; text-decoration: none;">^2+a</del>^7<del style="font-weight: bold; text-decoration: none;"> z+2</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z</del>+<del style="font-weight: bold; text-decoration: none;">8</del> a z<del style="font-weight: bold; text-decoration: none;">+</del>5 z a^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>a^<del style="font-weight: bold; text-decoration: none;">2-a^5</del> z^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del> a^{-1} z^{-1} &lt;/math&gt;</div></td> <td class="diff-marker" data-marker="+"></td> <td style="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;"><div>&lt;math&gt;<ins style="font-weight: bold; text-decoration: none;">a^8 z^6</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+</ins>2 a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+3</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-9 a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^5<ins style="font-weight: bold; text-decoration: none;">+7</ins> a<ins style="font-weight: bold; text-decoration: none;">^7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">a^7 z+</ins>4 a^6 z^8-<ins style="font-weight: bold; text-decoration: none;">9 a^6 z^6+</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+a^6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+4</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">9-</ins>9 a^5 z^7+<ins style="font-weight: bold; text-decoration: none;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5-</ins>8 a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+a^5</ins> z^{-1} +<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}-</ins>4 a^4 z^6+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>+9 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">26</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7+</ins>35 a^3 z^5+z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">18</ins> a^3 <ins style="font-weight: bold; text-decoration: none;">z^</ins>3<ins style="font-weight: bold; text-decoration: none;">-2</ins> z^3 a^<ins style="font-weight: bold; text-decoration: none;">{-3}</ins> -2 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins>+3 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+</ins>3 z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">19 a^</ins>2 z^<ins style="font-weight: bold; text-decoration: none;">4-5 z^4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>a^2+<ins style="font-weight: bold; text-decoration: none;">5</ins> a z^<ins style="font-weight: bold; text-decoration: none;">9-8</ins> a z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+6 z^7 a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> +<ins style="font-weight: bold; text-decoration: none;">2</ins> a z<ins style="font-weight: bold; text-decoration: none;">^</ins>5<ins style="font-weight: bold; text-decoration: none;">-14</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">+11 </ins>a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+12</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">8</ins> a z<ins style="font-weight: bold; text-decoration: none;">-5 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+7 z^8-17 z^6+18 z^4-6 z^2</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-75066:rev-1717213:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a174/Kauffman_Polynomial&diff=75066&oldid=prev 2005-08-26T14:27:12Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-2 a^4 z^{10}-2 a^2 z^{10}-4 a^5 z^9-9 a^3 z^9-5 a z^9-4 a^6 z^8-3 a^2 z^8-7 z^8-3 a^7 z^7+9 a^5 z^7+26 a^3 z^7+8 a z^7-6 z^7 a^{-1} -a^8 z^6+9 a^6 z^6+4 a^4 z^6+14 a^2 z^6-3 z^6 a^{-2} +17 z^6+9 a^7 z^5-9 a^5 z^5-35 a^3 z^5-2 a z^5+14 z^5 a^{-1} -z^5 a^{-3} +3 a^8 z^4-3 a^6 z^4-2 a^4 z^4-19 a^2 z^4+5 z^4 a^{-2} -18 z^4-7 a^7 z^3+8 a^5 z^3+18 a^3 z^3-11 a z^3-12 z^3 a^{-1} +2 z^3 a^{-3} -2 a^8 z^2-a^6 z^2+2 a^4 z^2+7 a^2 z^2+6 z^2+a^7 z+2 a^3 z+8 a z+5 z a^{-1} -a^2-a^5 z^{-1} -2 a^3 z^{-1} -2 a z^{-1} - a^{-1} z^{-1} &lt;/math&gt;</div>

ScottDataRobot