https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n349%2FKauffman_Polynomial 2026-04-17T16:51:43Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n349/Kauffman_Polynomial&diff=1718336&oldid=prev 2013-02-20T21:41:40Z

<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 17:41, 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;z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</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;">+6 </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;">+3 z^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+3 z^8</del>+2<del style="font-weight: bold; text-decoration: none;"> a z^7+5</del> z^7 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">5 </del>z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">2 </del>z<del style="font-weight: bold; text-decoration: none;">^7</del> a^{-5} +<del style="font-weight: bold; text-decoration: none;">a^2</del> z^<del style="font-weight: bold; text-decoration: none;">6-14 z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -5 z^6 a^{-4} <del style="font-weight: bold; text-decoration: none;">-</del>8 z^<del style="font-weight: bold; text-decoration: none;">6-5 a z^5-20 z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">15</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;">4</del> a^<del style="font-weight: bold; text-decoration: none;">2 z^</del>4<del style="font-weight: bold; text-decoration: none;">+14</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;">8 </del>z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +5 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;">+7</del> z^<del style="font-weight: bold; text-decoration: none;">4+2</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3+<del style="font-weight: bold; text-decoration: none;">17</del> z^3 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+15</del> z<del style="font-weight: bold; text-decoration: none;">^3</del> a^{-3} +<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;">5</del>} +z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">5 </del>a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">16</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} -<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2 <del style="font-weight: bold; text-decoration: none;">a</del>^<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>z^<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;">-6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2<del style="font-weight: bold; text-decoration: none;">+a</del> z-<del style="font-weight: bold; text-decoration: none;">8</del> z a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">8 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;"> a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -2 a^2+9 a^{-2} +<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-</del>2 a<del style="font-weight: bold; text-decoration: none;">^{-6}</del> +<del style="font-weight: bold; text-decoration: none;">3+2</del> a^{-1} z^{-1} +2 a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} z^{-<del style="font-weight: bold; text-decoration: none;">2</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>-<del style="font-weight: bold; text-decoration: none;">4}</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> - z^{-2} &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;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</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;">-</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;">-2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +2 z^7 a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +z a^{-5} +<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -5 z^6 a^{-4} <ins style="font-weight: bold; text-decoration: none;">+</ins>8 z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</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;">4</ins>} - a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4<ins style="font-weight: bold; text-decoration: none;">}</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-2} +3</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>} +5 z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-15</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</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;">15</ins> z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-8</ins> z a^{-3} +<ins style="font-weight: bold; text-decoration: none;">2 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>} +<ins style="font-weight: bold; text-decoration: none;">6 </ins>z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} -<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^2 <ins style="font-weight: bold; text-decoration: none;">z</ins>^4<ins style="font-weight: bold; text-decoration: none;">+14</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> <ins style="font-weight: bold; text-decoration: none;">a</ins>^2 z<ins style="font-weight: bold; text-decoration: none;">^2</ins>-<ins style="font-weight: bold; text-decoration: none;">16</ins> z<ins style="font-weight: bold; text-decoration: none;">^2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</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;">2</ins>} -2 a^2+9 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">z^9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a <ins style="font-weight: bold; text-decoration: none;">z^7</ins>+<ins style="font-weight: bold; text-decoration: none;">5 z^7</ins> a^{-1}<ins style="font-weight: bold; text-decoration: none;"> -5 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^5-20 z^5 a</ins>^{-1} +2<ins style="font-weight: bold; text-decoration: none;"> a z^3+17 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>}<ins style="font-weight: bold; text-decoration: none;"> +a</ins> z<ins style="font-weight: bold; text-decoration: none;">-8 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <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;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+7 z^4</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>- z^{-2} <ins style="font-weight: bold; text-decoration: none;">+3</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n349/Kauffman_Polynomial&diff=92686&oldid=prev 2005-08-27T04:40:12Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;z^9 a^{-1} +z^9 a^{-3} +6 z^8 a^{-2} +3 z^8 a^{-4} +3 z^8+2 a z^7+5 z^7 a^{-1} +5 z^7 a^{-3} +2 z^7 a^{-5} +a^2 z^6-14 z^6 a^{-2} -5 z^6 a^{-4} -8 z^6-5 a z^5-20 z^5 a^{-1} -15 z^5 a^{-3} -4 a^2 z^4+14 z^4 a^{-2} +8 z^4 a^{-4} +5 z^4 a^{-6} +7 z^4+2 a z^3+17 z^3 a^{-1} +15 z^3 a^{-3} +z^3 a^{-5} +z^3 a^{-7} +5 a^2 z^2-16 z^2 a^{-2} -6 z^2 a^{-4} -z^2 a^{-6} -6 z^2+a z-8 z a^{-1} -8 z a^{-3} +z a^{-5} -2 a^2+9 a^{-2} +3 a^{-4} -2 a^{-6} +3+2 a^{-1} z^{-1} +2 a^{-3} z^{-1} -2 a^{-2} z^{-2} - a^{-4} z^{-2} - z^{-2} &lt;/math&gt;</div>

ScottDataRobot