https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n250%2FKauffman_Polynomial 2026-05-13T16:18:02Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n250/Kauffman_Polynomial&diff=1715740&oldid=prev 2013-02-20T20:46:48Z

<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 16:46, 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>z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-2</del> z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">8 </del>z<del style="font-weight: bold; text-decoration: none;">^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-5</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">3 </del>z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">a</del> <del style="font-weight: bold; text-decoration: none;">z^7</del>+<del style="font-weight: bold; text-decoration: none;">4 </del>z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-</del>5 z^7 a^{-5} <del style="font-weight: bold; text-decoration: none;">+30</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">15</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +<del style="font-weight: bold; text-decoration: none;">13 z^6+4</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">+7</del> z<del style="font-weight: bold; text-decoration: none;">^5 a</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">17</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">+14</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-29</del> z^4 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">12</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-4} <del style="font-weight: bold; text-decoration: none;">+z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} <del style="font-weight: bold; text-decoration: none;">-16</del> z^<del style="font-weight: bold; text-decoration: none;">4-5</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3-<del style="font-weight: bold; text-decoration: none;">13</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-</del>18 z^3 a^{-3} -<del style="font-weight: bold; text-decoration: none;">14</del> z<del style="font-weight: bold; text-decoration: none;">^3</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +8 z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} <del style="font-weight: bold; text-decoration: none;">+3</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-</del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -z^2 a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} +<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">2+2</del> a <del style="font-weight: bold; text-decoration: none;">z</del>+4 z a^{-1} <del style="font-weight: bold; text-decoration: none;">+</del>7 z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">6 z</del> a^<del style="font-weight: bold; text-decoration: none;">{-5}</del> <del style="font-weight: bold; text-decoration: none;">+</del>z a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+</del> a<del style="font-weight: bold; text-decoration: none;">^{</del>-4<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">-</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</del> <del style="font-weight: bold; text-decoration: none;">-</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{</del>-5<del style="font-weight: bold; text-decoration: none;">}</del> z^<del style="font-weight: bold; text-decoration: none;">{-1} </del>&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;z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+4</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} -z a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} -z^<ins style="font-weight: bold; text-decoration: none;">4 a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">6}</ins> +z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 z^7 a^{-5} <ins style="font-weight: bold; text-decoration: none;">-14</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -<ins style="font-weight: bold; text-decoration: none;">6</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} + a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5<ins style="font-weight: bold; text-decoration: none;">}</ins> z^{-1} +<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">-15</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+12</ins> z^4 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-4} <ins style="font-weight: bold; text-decoration: none;">-</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">} </ins>-<ins style="font-weight: bold; text-decoration: none;">17</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>18 z^3 a^{-3} -<ins style="font-weight: bold; text-decoration: none;">7</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">}</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +8 z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-2} <ins style="font-weight: bold; text-decoration: none;">-30</ins> 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;">+29 </ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">8 </ins>z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a<ins style="font-weight: bold; text-decoration: none;">^{-1}</ins> +<ins style="font-weight: bold; text-decoration: none;">a z^7-</ins>4 z<ins style="font-weight: bold; text-decoration: none;">^7</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">-4 a z^5-</ins>7 z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+13</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-<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;"> z</ins>-4 <ins style="font-weight: bold; text-decoration: none;">z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>}<ins style="font-weight: bold; text-decoration: none;"> +3</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> <ins style="font-weight: bold; text-decoration: none;">z^6+16</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>-5 z^<ins style="font-weight: bold; text-decoration: none;">2</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-91498:rev-1715740:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n250/Kauffman_Polynomial&diff=91498&oldid=prev 2005-08-27T03:38:24Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-2 z^9 a^{-1} -2 z^9 a^{-3} -8 z^8 a^{-2} -5 z^8 a^{-4} -3 z^8-a z^7+4 z^7 a^{-1} -5 z^7 a^{-5} +30 z^6 a^{-2} +15 z^6 a^{-4} -2 z^6 a^{-6} +13 z^6+4 a z^5+7 z^5 a^{-1} +17 z^5 a^{-3} +14 z^5 a^{-5} -29 z^4 a^{-2} -12 z^4 a^{-4} +z^4 a^{-6} -16 z^4-5 a z^3-13 z^3 a^{-1} -18 z^3 a^{-3} -14 z^3 a^{-5} -4 z^3 a^{-7} +8 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +5 z^2+2 a z+4 z a^{-1} +7 z a^{-3} +6 z a^{-5} +z a^{-7} + a^{-4} - a^{-3} z^{-1} - a^{-5} z^{-1} &lt;/math&gt;</div>

ScottDataRobot