https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a416%2FKauffman_Polynomial 2026-08-07T10:49:24Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a416/Kauffman_Polynomial&diff=1714265&oldid=prev 2013-02-20T20:15:16Z

<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 16:15, 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;a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">{10}+a^</del>2<del style="font-weight: bold; text-decoration: none;"> z^{10}+3</del> 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<del style="font-weight: bold; text-decoration: none;">^3 z</del>^9<del style="font-weight: bold; text-decoration: none;">+4 a</del> z<del style="font-weight: bold; text-decoration: none;">^9</del>+<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8+9</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>+<del style="font-weight: bold; text-decoration: none;">11</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8+6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^8+4 a^7 z^7<del style="font-weight: bold; text-decoration: none;">+4</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">5</del> a<del style="font-weight: bold; text-decoration: none;">^3 z</del>^7<del style="font-weight: bold; text-decoration: none;">-a</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>+<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^7 <del style="font-weight: bold; text-decoration: none;">a^{-1} </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;">6</del>+2 a^6 z^6-<del style="font-weight: bold; text-decoration: none;">13</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">6-27</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;">z</del>^6 <del style="font-weight: bold; text-decoration: none;">a</del>^{-2} -<del style="font-weight: bold; text-decoration: none;">14</del> <del style="font-weight: bold; text-decoration: none;">z</del>^6+a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">5-3</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>-9 a^5 z^5<del style="font-weight: bold; text-decoration: none;">-8 </del>a^<del style="font-weight: bold; text-decoration: none;">3</del> z^5<del style="font-weight: bold; text-decoration: none;">-13</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">-10</del> z^5 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-6 </del>a^<del style="font-weight: bold; text-decoration: none;">8</del> z^4-<del style="font-weight: bold; text-decoration: none;">15</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-4 a^4 z^4+<del style="font-weight: bold; text-decoration: none;">15</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">4-</del>2 <del style="font-weight: bold; text-decoration: none;">z</del>^4 <del style="font-weight: bold; text-decoration: none;">a</del>^{-2} <del style="font-weight: bold; text-decoration: none;">+8</del> <del style="font-weight: bold; text-decoration: none;">z</del>^4<del style="font-weight: bold; text-decoration: none;">-2</del> a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<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;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3+</del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>+4 a^3 z^3+<del style="font-weight: bold; text-decoration: none;">8</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3<del style="font-weight: bold; text-decoration: none;">+6</del> z^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">5 </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;">18</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">2+16</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^2+a^2 z^2<del style="font-weight: bold; text-decoration: none;">+</del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} <del style="font-weight: bold; text-decoration: none;">-z^2</del>+a^<del style="font-weight: bold; text-decoration: none;">9</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;">z</del>+<del style="font-weight: bold; text-decoration: none;">5 </del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z<del style="font-weight: bold; text-decoration: none;">+3 a</del>^<del style="font-weight: bold; text-decoration: none;">3 z</del>-2 <del style="font-weight: bold; text-decoration: none;">a^8</del>-<del style="font-weight: bold; text-decoration: none;">8</del> a^<del style="font-weight: bold; text-decoration: none;">6-9</del> a<del style="font-weight: bold; text-decoration: none;">^4-4</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<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;">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} +a^6 z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">2 a^4</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<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;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-2<del style="font-weight: bold; text-decoration: none;">} </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;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">5-</ins>2 a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+a^9 z+<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;">6-6</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2-2</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^8+4 a^7 z^7<ins style="font-weight: bold; text-decoration: none;">-3</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> a^7 z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^7 <ins style="font-weight: bold; text-decoration: none;">z</ins>+<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>+2 a^6 z^6-<ins style="font-weight: bold; text-decoration: none;">15</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+18</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;">a</ins>^6 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-2} -<ins style="font-weight: bold; text-decoration: none;">8</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+4</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-9 a^5 z^5<ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+</ins>5 a^5 z<ins style="font-weight: bold; text-decoration: none;">-2 a</ins>^5 <ins style="font-weight: bold; text-decoration: none;">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;">^{10}+9 a</ins>^4<ins style="font-weight: bold; text-decoration: none;"> z^8</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-4 a^4 z^4+<ins style="font-weight: bold; text-decoration: none;">16</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+</ins>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^4 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-2} <ins style="font-weight: bold; text-decoration: none;">-9</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^4<ins style="font-weight: bold; text-decoration: none;">+7</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-8 </ins>a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+4 a^3 z^3+<ins style="font-weight: bold; text-decoration: none;">3</ins> a^3 z<ins style="font-weight: bold; text-decoration: none;">-2 a</ins>^3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} +a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins>+<ins style="font-weight: bold; text-decoration: none;">11</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-27</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+z^6 a^{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} </ins>+<ins style="font-weight: bold; text-decoration: none;">15 </ins>a^2 z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>2<ins style="font-weight: bold; text-decoration: none;"> </ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-2} +a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z<ins style="font-weight: bold; text-decoration: none;">^2</ins>+<ins style="font-weight: bold; text-decoration: none;">z^2</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> +a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-2<ins style="font-weight: bold; text-decoration: none;">}</ins> -<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">2+4</ins> a <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">9</ins>-a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7+4</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;">5-10</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">8 </ins>a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+</ins>6 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;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">6+8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">z^</ins>2&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a416/Kauffman_Polynomial&diff=78046&oldid=prev 2005-08-26T18:20:20Z

<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+9 a^4 z^8+11 a^2 z^8+6 z^8+4 a^7 z^7+4 a^5 z^7-5 a^3 z^7-a z^7+4 z^7 a^{-1} +3 a^8 z^6+2 a^6 z^6-13 a^4 z^6-27 a^2 z^6+z^6 a^{-2} -14 z^6+a^9 z^5-3 a^7 z^5-9 a^5 z^5-8 a^3 z^5-13 a z^5-10 z^5 a^{-1} -6 a^8 z^4-15 a^6 z^4-4 a^4 z^4+15 a^2 z^4-2 z^4 a^{-2} +8 z^4-2 a^9 z^3-3 a^7 z^3+a^5 z^3+4 a^3 z^3+8 a z^3+6 z^3 a^{-1} +5 a^8 z^2+18 a^6 z^2+16 a^4 z^2+a^2 z^2+z^2 a^{-2} -z^2+a^9 z+3 a^7 z+5 a^5 z+3 a^3 z-2 a^8-8 a^6-9 a^4-4 a^2-2 a^5 z^{-1} -2 a^3 z^{-1} +a^6 z^{-2} +2 a^4 z^{-2} +a^2 z^{-2} &lt;/math&gt;</div>

ScottDataRobot