https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a53%2FKauffman_Polynomial 2026-06-13T11:04:35Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a53/Kauffman_Polynomial&diff=1719036&oldid=prev 2013-02-20T21:56:12Z

<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 17:56, 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;">-3 </del>a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">9-3</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;">9</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^8<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;">15 z^8-11</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;">12 a</del> z^<del style="font-weight: bold; text-decoration: none;">7-5 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-</del>4 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;">-8 a^4 z^6</del>+11 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;">14</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;">z^6</del> a^<del style="font-weight: bold; text-decoration: none;">{-4} +34</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">4 a^5</del> z^5<del style="font-weight: bold; text-decoration: none;">+16</del> a^3 <del style="font-weight: bold; text-decoration: none;">z^5</del>+<del style="font-weight: bold; text-decoration: none;">39</del> a z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">29</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;">+10</del> z<del style="font-weight: bold; text-decoration: none;">^5</del> a^{-3} -a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-2 a^2 z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-2} +2 <del style="font-weight: bold; text-decoration: none;">z</del>^<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;">{-</del>4<del style="font-weight: bold; text-decoration: none;">} -19</del> z^4<del style="font-weight: bold; text-decoration: none;">+2</del> a^<del style="font-weight: bold; text-decoration: none;">5 z^3</del>-<del style="font-weight: bold; text-decoration: none;">9</del> a^3<del style="font-weight: bold; text-decoration: none;"> z^3-29</del> a z^3<del style="font-weight: bold; text-decoration: none;">-25</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>7 z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -a<del style="font-weight: bold; text-decoration: none;">^4</del> z^<del style="font-weight: bold; text-decoration: none;">2</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;">2</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">a</del>^3 <del style="font-weight: bold; text-decoration: none;">z+</del>5 a z<del style="font-weight: bold; text-decoration: none;">+</del>6 z a^{-1} <del style="font-weight: bold; text-decoration: none;">+2</del> z<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;">-a^2</del>+<del style="font-weight: bold; text-decoration: none;">a^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;">a</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;a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+4</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z^5</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+</ins>8<ins style="font-weight: bold; text-decoration: none;"> a^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+z^6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">7</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> 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;">+a^</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">2+z^2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +11 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> 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;">16</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">10</ins> z^5 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;">9</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-a^3 z-2</ins> z a^{-3} -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;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+6 z^8 a^{</ins>-2<ins style="font-weight: bold; text-decoration: none;">} -11</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} +2 <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>^4<ins style="font-weight: bold; text-decoration: none;">+7</ins> z^4 a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">2+</ins>3 a z^<ins style="font-weight: bold; text-decoration: none;">9+</ins>3 z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">+12 a z^</ins>7<ins style="font-weight: bold; text-decoration: none;">+5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">39 </ins>a z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">29 </ins>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;">29 a</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+<ins style="font-weight: bold; text-decoration: none;">25 z</ins>^3 <ins style="font-weight: bold; text-decoration: none;">a^{-1} -</ins>5 a z<ins style="font-weight: bold; text-decoration: none;">-</ins>6 z a^{-1} <ins style="font-weight: bold; text-decoration: none;">-a</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">15</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">34</ins> <ins style="font-weight: bold; text-decoration: none;">z^6</ins>+<ins style="font-weight: bold; text-decoration: none;">19</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">2</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:L10a53/Kauffman_Polynomial&diff=71136&oldid=prev 2005-08-26T10:26:14Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-3 a z^9-3 z^9 a^{-1} -9 a^2 z^8-6 z^8 a^{-2} -15 z^8-11 a^3 z^7-12 a z^7-5 z^7 a^{-1} -4 z^7 a^{-3} -8 a^4 z^6+11 a^2 z^6+14 z^6 a^{-2} -z^6 a^{-4} +34 z^6-4 a^5 z^5+16 a^3 z^5+39 a z^5+29 z^5 a^{-1} +10 z^5 a^{-3} -a^6 z^4+7 a^4 z^4-2 a^2 z^4-7 z^4 a^{-2} +2 z^4 a^{-4} -19 z^4+2 a^5 z^3-9 a^3 z^3-29 a z^3-25 z^3 a^{-1} -7 z^3 a^{-3} -a^4 z^2-z^2 a^{-4} +2 z^2+a^3 z+5 a z+6 z a^{-1} +2 z a^{-3} -a^2+a^3 z^{-1} +a z^{-1} &lt;/math&gt;</div>

ScottDataRobot