https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a508%2FKauffman_Polynomial 2026-06-05T00:54:31Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a508/Kauffman_Polynomial&diff=1717181&oldid=prev 2013-02-20T21:17:10Z

<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 17:17, 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;">2 </del>z^<del style="font-weight: bold; text-decoration: none;">{10}</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">+2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del> a^{-<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;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">12</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;">+5</del> z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +<del style="font-weight: bold; text-decoration: none;">14</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;">+7</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">4 z^8</del> a^{-6}<del style="font-weight: bold; text-decoration: none;"> +11</del> z^<del style="font-weight: bold; text-decoration: none;">8+11</del> <del style="font-weight: bold; text-decoration: none;">a z^7</del>-<del style="font-weight: bold; text-decoration: none;">3 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-30</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -15 z^7 a^{-5} +z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">8 a^</del>2 z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">49</del> <del style="font-weight: bold; text-decoration: none;">z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">41</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-4} <del style="font-weight: bold; text-decoration: none;">-15</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">15</del> z^6<del style="font-weight: bold; text-decoration: none;">+4</del> a^<del style="font-weight: bold; text-decoration: none;">3 z^5</del>-<del style="font-weight: bold; text-decoration: none;">13</del> a z^<del style="font-weight: bold; text-decoration: none;">5-16</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>14 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;">10</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -3<del style="font-weight: bold; text-decoration: none;"> z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">a^4</del> z^<del style="font-weight: bold; text-decoration: none;">4-7</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z^4+42</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;">47 z^</del>4 a^<del style="font-weight: bold; text-decoration: none;">{-4}</del> +<del style="font-weight: bold; text-decoration: none;">17</del> 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;">+4 z^4</del>-2 a^3 z^3+<del style="font-weight: bold; text-decoration: none;">4 a</del> z^3+<del style="font-weight: bold; text-decoration: none;">10</del> z^3 a^{-1} +2 z^<del style="font-weight: bold; text-decoration: none;">3</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;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">11</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} -<del style="font-weight: bold; text-decoration: none;">14</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;">} -5</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +2<del style="font-weight: bold; text-decoration: none;"> z</del> a^<del style="font-weight: bold; text-decoration: none;">{-3} +</del>2 z<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;">5}</del> <del style="font-weight: bold; text-decoration: none;">-</del>2 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;">-2 a</del>^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -2 a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} z^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">5}</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">+</del> a^<del style="font-weight: bold; text-decoration: none;">{</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;">2</del> 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;">a</del>^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">6}</del> z^<del style="font-weight: bold; text-decoration: none;">{-2}</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;z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">-3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<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;">3</ins> a^{-<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;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-15</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +<ins style="font-weight: bold; text-decoration: none;">17</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;">-5</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} + a^{-6} z^<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;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">+5</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -15 z^7 a^{-5} +<ins style="font-weight: bold; text-decoration: none;">10 </ins>z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +2 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;">5}</ins> <ins style="font-weight: bold; text-decoration: none;">-2</ins> a^{-<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;">1} +2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-4} <ins style="font-weight: bold; text-decoration: none;">+7</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">41</ins> z^6 a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">4}</ins> <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;">4+47</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;">-</ins>14 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<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;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-4}</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -3 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +<ins style="font-weight: bold; text-decoration: none;">12</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-3}</ins> <ins style="font-weight: bold; text-decoration: none;">-30</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +4 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z^5</ins>+<ins style="font-weight: bold; text-decoration: none;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -2 a^3 z^3+<ins style="font-weight: bold; text-decoration: none;">2</ins> z^3<ins style="font-weight: bold; text-decoration: none;"> a^{-3} </ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> z<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;">} -2</ins> a<ins style="font-weight: bold; text-decoration: none;">^{-3} z</ins>^{-1} +2 z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">8</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">49</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} -<ins style="font-weight: bold; text-decoration: none;">7</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;">+42</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +2 a^2 z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">11</ins> <ins style="font-weight: bold; text-decoration: none;">z^</ins>2 a^{-2} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-<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;">2</ins>} -2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;"> +7</ins> z<ins style="font-weight: bold; text-decoration: none;">^9 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+11</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> z<ins style="font-weight: bold; text-decoration: none;">^7 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-13</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;">16</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+10</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">11</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;">15</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+4</ins> <ins style="font-weight: bold; text-decoration: none;">z^4</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-80989:rev-1717181:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a508/Kauffman_Polynomial&diff=80989&oldid=prev 2005-08-26T19:05:12Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;2 z^{10} a^{-2} +2 z^{10} a^{-4} +7 z^9 a^{-1} +12 z^9 a^{-3} +5 z^9 a^{-5} +14 z^8 a^{-2} +7 z^8 a^{-4} +4 z^8 a^{-6} +11 z^8+11 a z^7-3 z^7 a^{-1} -30 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +8 a^2 z^6-49 z^6 a^{-2} -41 z^6 a^{-4} -15 z^6 a^{-6} -15 z^6+4 a^3 z^5-13 a z^5-16 z^5 a^{-1} +14 z^5 a^{-3} +10 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-7 a^2 z^4+42 z^4 a^{-2} +47 z^4 a^{-4} +17 z^4 a^{-6} +4 z^4-2 a^3 z^3+4 a z^3+10 z^3 a^{-1} +2 z^3 a^{-3} +2 z^3 a^{-7} +2 a^2 z^2-11 z^2 a^{-2} -14 z^2 a^{-4} -5 z^2 a^{-6} +2 z a^{-3} +2 z a^{-5} -2 a^{-2} -3 a^{-4} -2 a^{-6} -2 a^{-3} z^{-1} -2 a^{-5} z^{-1} + a^{-2} z^{-2} +2 a^{-4} z^{-2} + a^{-6} z^{-2} &lt;/math&gt;</div>

ScottDataRobot