https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a160%2FKauffman_Polynomial 2026-04-05T09:28:21Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a160/Kauffman_Polynomial&diff=1715810&oldid=prev 2013-02-20T20:48:18Z

<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 16:48, 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>a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del>-a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}-</del>3 a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-<del style="font-weight: bold; text-decoration: none;">7 </del>a^3<del style="font-weight: bold; text-decoration: none;"> z^9-4</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">9-4 a^6</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">10 a^4 z^</del>8<del style="font-weight: bold; text-decoration: none;">-13</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8-</del>7<del style="font-weight: bold; text-decoration: none;"> z^8-3</del> a^7 z^<del style="font-weight: bold; text-decoration: none;">7</del>-3 a^<del style="font-weight: bold; text-decoration: none;">5</del> z<del style="font-weight: bold; text-decoration: none;">^7-7 </del>a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">7-</del>7 z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">6+</del>6 a^6 z^6<del style="font-weight: bold; text-decoration: none;">+22</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">25</del> 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;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^6 a^<del style="font-weight: bold; text-decoration: none;">{-2} +6</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">8</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5+</del>21 a^5 z^5+<del style="font-weight: bold; text-decoration: none;">27</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">5+26</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">+11</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;">-</del>z<del style="font-weight: bold; text-decoration: none;">^5 a</del>^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">3 </del>a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">3</del> 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;">9</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">4-11</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^4+<del style="font-weight: bold; text-decoration: none;">6 z^</del>4 a^<del style="font-weight: bold; text-decoration: none;">{-2} +</del>4 z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">7</del> a^7 <del style="font-weight: bold; text-decoration: none;">z</del>^3-<del style="font-weight: bold; text-decoration: none;">23</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-33 a^3 z^3-<del style="font-weight: bold; text-decoration: none;">24</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3-<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^3 a^{-1} +<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;">-3</del>}<del style="font-weight: bold; text-decoration: none;"> -3</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">7</del> a^6 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">4</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">2</del>-2 a^2 z^2<del style="font-weight: bold; text-decoration: none;">-</del>2 z^2 a^{-2} <del style="font-weight: bold; text-decoration: none;">-</del>4 z^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">3</del> a<del style="font-weight: bold; text-decoration: none;">^7</del> z+<del style="font-weight: bold; text-decoration: none;">12</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">5 z+15</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z+8</del> a z<del style="font-weight: bold; text-decoration: none;">+2</del> z a^{-1} +a^<del style="font-weight: bold; text-decoration: none;">8+</del>3 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">6+</del>3 a<del style="font-weight: bold; text-decoration: none;">^4-a^7 z</del>^{-1} -<del style="font-weight: bold; text-decoration: none;">3</del> a<del style="font-weight: bold; text-decoration: none;">^5</del> 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;a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">3 </ins>a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-a^<ins style="font-weight: bold; text-decoration: none;">8+</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-8 a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+</ins>7 a^7 z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-3 a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z<ins style="font-weight: bold; text-decoration: none;">+</ins>a^7 z^{-1} <ins style="font-weight: bold; text-decoration: none;">+4 </ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-</ins>6 a^6 z^6<ins style="font-weight: bold; text-decoration: none;">-3</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<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;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^6<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;">9</ins>+<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;">7-</ins>21 a^5 z^5+<ins style="font-weight: bold; text-decoration: none;">23</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-12</ins> a^5 z<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;">1</ins>} +a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins>+<ins style="font-weight: bold; text-decoration: none;">10</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">22</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">6+9</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^4+4 a^4 z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">4+</ins>7 <ins style="font-weight: bold; text-decoration: none;">a</ins>^3<ins style="font-weight: bold; text-decoration: none;"> z^9</ins>-<ins style="font-weight: bold; text-decoration: none;">27</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+z^5 a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">3} +</ins>33 a^3 z^3-<ins style="font-weight: bold; text-decoration: none;">z^3</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> <ins style="font-weight: bold; text-decoration: none;">a</ins>^3<ins style="font-weight: bold; text-decoration: none;"> z+2</ins> a<ins style="font-weight: bold; text-decoration: none;">^3 z</ins>^{-1} +<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;">10</ins>}<ins style="font-weight: bold; text-decoration: none;">+13</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">25</ins> a<ins style="font-weight: bold; text-decoration: none;">^2 z</ins>^6<ins style="font-weight: bold; text-decoration: none;">+4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6 a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +11</ins> a<ins style="font-weight: bold; text-decoration: none;">^2 z</ins>^4<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;">2} +</ins>2 a^2 z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>2 z^2 a^{-2} <ins style="font-weight: bold; text-decoration: none;">+</ins>4<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;">7</ins> a z<ins style="font-weight: bold; text-decoration: none;">^7</ins>+<ins style="font-weight: bold; text-decoration: none;">7</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<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;">-26</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5-11</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">24 </ins>a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">+6</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^3 a^{-1} -<ins style="font-weight: bold; text-decoration: none;">8</ins> a z<ins style="font-weight: bold; text-decoration: none;">-2 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+7</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8-6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z^4+4 z^2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a160/Kauffman_Polynomial&diff=75035&oldid=prev 2005-08-26T14:22:25Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a^4 z^{10}-a^2 z^{10}-3 a^5 z^9-7 a^3 z^9-4 a z^9-4 a^6 z^8-10 a^4 z^8-13 a^2 z^8-7 z^8-3 a^7 z^7-3 a^5 z^7-7 a z^7-7 z^7 a^{-1} -a^8 z^6+6 a^6 z^6+22 a^4 z^6+25 a^2 z^6-4 z^6 a^{-2} +6 z^6+8 a^7 z^5+21 a^5 z^5+27 a^3 z^5+26 a z^5+11 z^5 a^{-1} -z^5 a^{-3} +3 a^8 z^4+3 a^6 z^4-9 a^4 z^4-11 a^2 z^4+6 z^4 a^{-2} +4 z^4-7 a^7 z^3-23 a^5 z^3-33 a^3 z^3-24 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -3 a^8 z^2-7 a^6 z^2-4 a^4 z^2-2 a^2 z^2-2 z^2 a^{-2} -4 z^2+3 a^7 z+12 a^5 z+15 a^3 z+8 a z+2 z a^{-1} +a^8+3 a^6+3 a^4-a^7 z^{-1} -3 a^5 z^{-1} -2 a^3 z^{-1} &lt;/math&gt;</div>

ScottDataRobot