https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n59%2FKauffman_Polynomial 2026-04-05T09:29:39Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n59/Kauffman_Polynomial&diff=1718667&oldid=prev 2013-02-20T21:48:35Z

<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 17:48, 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;">-</del>z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-</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;">-4</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> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} <del style="font-weight: bold; text-decoration: none;">-a</del> z^<del style="font-weight: bold; text-decoration: none;">7+</del>3<del style="font-weight: bold; text-decoration: none;"> z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -z<del style="font-weight: bold; text-decoration: none;">^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-</del>3 z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+5</del> z^6 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;">+9</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-6} <del style="font-weight: bold; text-decoration: none;">-z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} +<del style="font-weight: bold; text-decoration: none;">7</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">+4</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> z^5 a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">11</del> z^5 a^{-5} +<del style="font-weight: bold; text-decoration: none;">10</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-</del>19 z^4 a^{-4} -<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +<del style="font-weight: bold; text-decoration: none;">3 </del>z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">+4</del> z^<del style="font-weight: bold; text-decoration: none;">4-14</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3<del style="font-weight: bold; text-decoration: none;">-16</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>3 z^3 a^{-3} -<del style="font-weight: bold; text-decoration: none;">8</del> z^3 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -5 z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} +<del style="font-weight: bold; text-decoration: none;">10</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;">3</del> z^2 a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">2 z^2</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">-10</del> z^<del style="font-weight: bold; text-decoration: none;">2+11</del> a z<del style="font-weight: bold; text-decoration: none;">+14</del> z a^{-1} +<del style="font-weight: bold; text-decoration: none;">3</del> z<del style="font-weight: bold; text-decoration: none;"> a</del>^<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>z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">+z a^{</del>-<del style="font-weight: bold; text-decoration: none;">7} +5</del> a<del style="font-weight: bold; text-decoration: none;">^{-2}</del> - a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +<del style="font-weight: bold; text-decoration: none;">5-</del>3 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>5 a^{-1} z^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<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>&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;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -<ins style="font-weight: bold; text-decoration: none;">3 </ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+2 </ins>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;">+3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} -<ins style="font-weight: bold; text-decoration: none;">10</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+7</ins> z^3 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;">+</ins>3 z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-9</ins> z^6 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-3</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-6} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +<ins style="font-weight: bold; text-decoration: none;">z^9</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5<ins style="font-weight: bold; text-decoration: none;">}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -<ins style="font-weight: bold; text-decoration: none;">11</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">3 a^{-</ins>5<ins style="font-weight: bold; text-decoration: none;">} -z</ins> a^{-5} +<ins style="font-weight: bold; text-decoration: none;">4</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;">+</ins>19 z^4 a^{-4} -<ins style="font-weight: bold; text-decoration: none;">10</ins> z^<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;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">} +2</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>3 z^3 a^{-3} -<ins style="font-weight: bold; text-decoration: none;">3</ins> z<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;">} +2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">z^{</ins>-<ins style="font-weight: bold; text-decoration: none;">1}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -5 z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} +<ins style="font-weight: bold; text-decoration: none;">7</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;">5</ins> z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+a</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-7</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5-4</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">14 a</ins> z^3<ins style="font-weight: bold; text-decoration: none;">+16</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;">11</ins> a <ins style="font-weight: bold; text-decoration: none;">z</ins>-<ins style="font-weight: bold; text-decoration: none;">14 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +3 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 a^{-1} z^{-1} -<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4+10</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-89164:rev-1718667:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n59/Kauffman_Polynomial&diff=89164&oldid=prev 2005-08-27T02:12:39Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^9 a^{-3} -z^9 a^{-5} -z^8 a^{-2} -4 z^8 a^{-4} -3 z^8 a^{-6} -a z^7+3 z^7 a^{-3} -z^7 a^{-5} -3 z^7 a^{-7} +5 z^6 a^{-2} +15 z^6 a^{-4} +9 z^6 a^{-6} -z^6 a^{-8} +7 a z^5+4 z^5 a^{-1} -2 z^5 a^{-3} +11 z^5 a^{-5} +10 z^5 a^{-7} -7 z^4 a^{-2} -19 z^4 a^{-4} -5 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4-14 a z^3-16 z^3 a^{-1} -3 z^3 a^{-3} -8 z^3 a^{-5} -7 z^3 a^{-7} -5 z^2 a^{-2} +10 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -10 z^2+11 a z+14 z a^{-1} +3 z a^{-3} +z a^{-5} +z a^{-7} +5 a^{-2} - a^{-6} +5-3 a z^{-1} -5 a^{-1} z^{-1} -2 a^{-3} z^{-1} &lt;/math&gt;</div>

ScottDataRobot