https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10n99%2FKauffman_Polynomial 2026-04-15T00:41:44Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10n99/Kauffman_Polynomial&diff=1717087&oldid=prev 2013-02-20T21:15:12Z

<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 17:15, 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;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">3</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;">7-3</del> z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>3 a^4 z^6-<del style="font-weight: bold; text-decoration: none;">8</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6-2</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-2} -<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;">6</del>+<del style="font-weight: bold; text-decoration: none;">9</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">5+15</del> a z^5+<del style="font-weight: bold; text-decoration: none;">5 z^5 a^{-1} -</del>z^5 a^{-3} +<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4+24 a^2</del> z^<del style="font-weight: bold; text-decoration: none;">4+</del>3<del style="font-weight: bold; text-decoration: none;"> z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">+21 z^4</del>-<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^3-<del style="font-weight: bold; text-decoration: none;">19</del> a^3 z<del style="font-weight: bold; text-decoration: none;">^</del>3<del style="font-weight: bold; text-decoration: none;">-19</del> <del style="font-weight: bold; text-decoration: none;">a</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">3</del>-3 <del style="font-weight: bold; text-decoration: none;">z</del>^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">+3 z^3</del> a^{-3} -<del style="font-weight: bold; text-decoration: none;">15</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">2-33</del> a^2 z^2<del style="font-weight: bold; text-decoration: none;">-18</del> z^<del style="font-weight: bold; text-decoration: none;">2+10</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">z+23</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z<del style="font-weight: bold; text-decoration: none;">+20 a z+</del>4<del style="font-weight: bold; text-decoration: none;"> z a^{-1} </del>-3 z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">13</del> a^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">24</del> a^2<del style="font-weight: bold; text-decoration: none;">-</del> <del style="font-weight: bold; text-decoration: none;">a</del>^{-2} <del style="font-weight: bold; text-decoration: none;">+11</del>-<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">z</del>^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-14</del> a^3 z^{-1} -<del style="font-weight: bold; text-decoration: none;">12</del> a 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;">-3</del> a<del style="font-weight: bold; text-decoration: none;">^{-1} z</del>^{-1} + a^<del style="font-weight: bold; text-decoration: none;">{-</del>3<del style="font-weight: bold; text-decoration: none;">}</del> z^{-1} -3 a<del style="font-weight: bold; text-decoration: none;">^4</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">6</del> 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;">3</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +a<del style="font-weight: bold; text-decoration: none;">^5</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +3 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">3 a</del> z^<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;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-1}</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</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;">6 </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;">a^5 </ins>z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">3} -10</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z<ins style="font-weight: bold; text-decoration: none;">+6</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>3 a^4 z^6-<ins style="font-weight: bold; text-decoration: none;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+15 a^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+3</ins> a<ins style="font-weight: bold; text-decoration: none;">^4 z</ins>^{-2} -<ins style="font-weight: bold; text-decoration: none;">13</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> a^3 z^<ins style="font-weight: bold; text-decoration: none;">7-9</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^5+z^5 a^{-3} +<ins style="font-weight: bold; text-decoration: none;">19</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-3</ins> z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<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;">23</ins> a^3 z<ins style="font-weight: bold; text-decoration: none;">+</ins>3 <ins style="font-weight: bold; text-decoration: none;">z</ins> <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;">}</ins> <ins style="font-weight: bold; text-decoration: none;">+14 a</ins>^3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-</ins> a^{-3} <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>a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+8</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">6+</ins>2 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;">-24</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z<ins style="font-weight: bold; text-decoration: none;">^</ins>4-3 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;">33</ins> a^<ins style="font-weight: bold; text-decoration: none;">2 z^2</ins>+<ins style="font-weight: bold; text-decoration: none;">6</ins> a^2 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-2} -<ins style="font-weight: bold; text-decoration: none;">24</ins> a^<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>} <ins style="font-weight: bold; text-decoration: none;">+7</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7+</ins>3 z<ins style="font-weight: bold; text-decoration: none;">^7 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">15</ins> a z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z^5</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">19</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">+3</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} -3 a z^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} - a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">20 a</ins> z<ins style="font-weight: bold; text-decoration: none;">-4 z a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">12 </ins>a z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +3 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;">z^8+7</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">21</ins> <ins style="font-weight: bold; text-decoration: none;">z^4</ins>+<ins style="font-weight: bold; text-decoration: none;">18</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">2+3</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-11</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-73335:rev-1717087:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10n99/Kauffman_Polynomial&diff=73335&oldid=prev 2005-08-26T12:36:27Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a^2 z^8-z^8-4 a^3 z^7-7 a z^7-3 z^7 a^{-1} -3 a^4 z^6-8 a^2 z^6-2 z^6 a^{-2} -7 z^6+9 a^3 z^5+15 a z^5+5 z^5 a^{-1} -z^5 a^{-3} +6 a^4 z^4+24 a^2 z^4+3 z^4 a^{-2} +21 z^4-6 a^5 z^3-19 a^3 z^3-19 a z^3-3 z^3 a^{-1} +3 z^3 a^{-3} -15 a^4 z^2-33 a^2 z^2-18 z^2+10 a^5 z+23 a^3 z+20 a z+4 z a^{-1} -3 z a^{-3} +13 a^4+24 a^2- a^{-2} +11-6 a^5 z^{-1} -14 a^3 z^{-1} -12 a z^{-1} -3 a^{-1} z^{-1} + a^{-3} z^{-1} -3 a^4 z^{-2} -6 a^2 z^{-2} -3 z^{-2} +a^5 z^{-3} +3 a^3 z^{-3} +3 a z^{-3} + a^{-1} z^{-3} &lt;/math&gt;</div>

ScottDataRobot