https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n36%2FKauffman_Polynomial 2026-04-05T14:32:18Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n36/Kauffman_Polynomial&diff=1717811&oldid=prev 2013-02-20T21:30:34Z

<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 17:30, 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>a z^<del style="font-weight: bold; text-decoration: none;">9</del>-<del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-1} <del style="font-weight: bold; text-decoration: none;">-3 </del>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8-2 </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 z^8-3</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">3 a</del> z^<del style="font-weight: bold; text-decoration: none;">7-2 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -2<del style="font-weight: bold; text-decoration: none;"> z^7</del> <del style="font-weight: bold; text-decoration: none;">a^{-3} -</del>a^4 z<del style="font-weight: bold; text-decoration: none;">^6+8 a</del>^2<del style="font-weight: bold; text-decoration: none;"> z^6</del>+4 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;">z^6</del> a^{-4} +<del style="font-weight: bold; text-decoration: none;">14</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+7 a^3 <del style="font-weight: bold; text-decoration: none;">z^5+15</del> a z^5<del style="font-weight: bold; text-decoration: none;">+15</del> z^5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +7 z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-3} -<del style="font-weight: bold; text-decoration: none;">2</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">14</del> <del style="font-weight: bold; text-decoration: none;">a^</del>2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4+</del>3 z<del style="font-weight: bold; text-decoration: none;">^4 a</del>^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">4 z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>}<del style="font-weight: bold; text-decoration: none;"> -13</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-3 a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3-13</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<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;">3</del>-<del style="font-weight: bold; text-decoration: none;">24</del> a z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">21</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;">-7</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">3</del> <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;">+2 a</del>^4 <del style="font-weight: bold; text-decoration: none;">z</del>^2<del style="font-weight: bold; text-decoration: none;">+</del>9 a^2 z^2<del style="font-weight: bold; text-decoration: none;">-</del>6 z^2 a^{-2} <del style="font-weight: bold; text-decoration: none;">-4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">4 a</del>^<del style="font-weight: bold; text-decoration: none;">5 z+</del>9 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;">15</del> a z+<del style="font-weight: bold; text-decoration: none;">14</del> z a^{-1} <del style="font-weight: bold; text-decoration: none;">+4 z</del> a^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">3}</del> <del style="font-weight: bold; text-decoration: none;">-2 a</del>^<del style="font-weight: bold; text-decoration: none;">2+2</del> a^{-<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;">-a</del>^<del style="font-weight: bold; text-decoration: none;">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>3 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>3 a^{-1} z^{-1} <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;">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;<ins style="font-weight: bold; text-decoration: none;">3 </ins>a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">4 a</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z+</ins>a<ins style="font-weight: bold; text-decoration: none;">^5 z</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+</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;">+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;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -2 a^4 z^2+4 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} - a^{-4} +<ins style="font-weight: bold; text-decoration: none;">3 a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">2 z^</ins>7 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;">-7</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^5<ins style="font-weight: bold; text-decoration: none;">-7</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+13 a^3 z^3</ins>+7 z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-3} -<ins style="font-weight: bold; text-decoration: none;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">3 z-</ins>4 z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">3}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^3 z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} + a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+2</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;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} -8</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">4</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;">+14</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>-3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^4 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} -</ins>9 a^2 z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>6 z^2 a^{-2} <ins style="font-weight: bold; text-decoration: none;">+2</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">2-</ins>2 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;">9</ins>+<ins style="font-weight: bold; text-decoration: none;">z</ins>^9 a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> +<ins style="font-weight: bold; text-decoration: none;">3</ins> a z<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;">^7</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">-15</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">15</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<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;">24</ins> a <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+21</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">15</ins> a z<ins style="font-weight: bold; text-decoration: none;">-14 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>3 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>3 a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+5</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;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+13 z^4</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n36/Kauffman_Polynomial&diff=82357&oldid=prev 2005-08-26T19:51:39Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a z^9-z^9 a^{-1} -3 a^2 z^8-2 z^8 a^{-2} -5 z^8-3 a^3 z^7-3 a z^7-2 z^7 a^{-1} -2 z^7 a^{-3} -a^4 z^6+8 a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +14 z^6+7 a^3 z^5+15 a z^5+15 z^5 a^{-1} +7 z^5 a^{-3} -2 a^4 z^4-14 a^2 z^4+3 z^4 a^{-2} +4 z^4 a^{-4} -13 z^4-3 a^5 z^3-13 a^3 z^3-24 a z^3-21 z^3 a^{-1} -7 z^3 a^{-3} +2 a^4 z^2+9 a^2 z^2-6 z^2 a^{-2} -4 z^2 a^{-4} +5 z^2+4 a^5 z+9 a^3 z+15 a z+14 z a^{-1} +4 z a^{-3} -2 a^2+2 a^{-2} + a^{-4} -a^5 z^{-1} -2 a^3 z^{-1} -3 a z^{-1} -3 a^{-1} z^{-1} - a^{-3} z^{-1} &lt;/math&gt;</div>

ScottDataRobot