https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a128%2FKauffman_Polynomial 2026-06-05T11:38:27Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a128/Kauffman_Polynomial&diff=1717583&oldid=prev 2013-02-20T21:25:46Z

<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 17:25, 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;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9+</del>a z^<del style="font-weight: bold; text-decoration: none;">9</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;">8</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;">8+</del>4 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">8</del>+2 a^5 z^7<del style="font-weight: bold; text-decoration: none;">+</del>5 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;">10</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>+<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;">7</del> a^{-1} +a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">4</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;">7 </del>z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +4 z^<del style="font-weight: bold; text-decoration: none;">6-5</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">14</del> a^3 z^5<del style="font-weight: bold; text-decoration: none;">-19</del> a z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">6 z^5</del> a^<del style="font-weight: bold; text-decoration: none;">{-1}</del> +4 z^5 a^{-3} <del style="font-weight: bold; text-decoration: none;">-</del>4 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;">13</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4</del> <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;">16</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^4</del>-<del style="font-weight: bold; text-decoration: none;">8 z^4</del> a^<del style="font-weight: bold; text-decoration: none;">{-2}</del> <del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;">^4 a</del>^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-16 z^4</del>+<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>4 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;">4 a</del> z^<del style="font-weight: bold; text-decoration: none;">3-z^3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">3</del> <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;">{</del>-<del style="font-weight: bold; text-decoration: none;">3} +6 a^6</del> z^<del style="font-weight: bold; text-decoration: none;">2+18</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z^2</del>+19 a^2 z^2+3 z^2 a^{-2} +<del style="font-weight: bold; text-decoration: none;">10</del> z^2<del style="font-weight: bold; text-decoration: none;">+3</del> a^<del style="font-weight: bold; text-decoration: none;">5 z</del>+<del style="font-weight: bold; text-decoration: none;">5 </del>a<del style="font-weight: bold; text-decoration: none;">^3</del> z+<del style="font-weight: bold; text-decoration: none;">3</del> a z+z a^{-1} -<del style="font-weight: bold; text-decoration: none;">4</del> a<del style="font-weight: bold; text-decoration: none;">^6-9</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">8</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">2-2-2</del> a<del style="font-weight: bold; text-decoration: none;">^5 z</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a^3<del style="font-weight: bold; text-decoration: none;"> </del>z^{-1} +a<del style="font-weight: bold; text-decoration: none;">^6</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^4 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;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6-4 </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;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>+a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-2} -</ins>4 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">6</ins>+2 a^5 z^7<ins style="font-weight: bold; text-decoration: none;">-</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<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> 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>^<ins style="font-weight: bold; text-decoration: none;">5 z-2</ins> a<ins style="font-weight: bold; text-decoration: none;">^5 z</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">2 </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;">13</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</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;">18 a^</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">2+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<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;">-9 a^4+</ins>a^3 z^<ins style="font-weight: bold; text-decoration: none;">9+</ins>5 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;">14</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z^5</ins>+4 z^5 a^{-3} <ins style="font-weight: bold; text-decoration: none;">+</ins>4 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;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins> <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;">3} +5</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z-<ins style="font-weight: bold; text-decoration: none;">2</ins> 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;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-</ins>4 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">7</ins> 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;">16</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;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> +19 a^2 z^2+3 z^2 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">a^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} -8</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins>+a z<ins style="font-weight: bold; text-decoration: none;">^9</ins>+<ins style="font-weight: bold; text-decoration: none;">10</ins> a z<ins style="font-weight: bold; text-decoration: none;">^7</ins>+<ins style="font-weight: bold; text-decoration: none;">7 </ins>z<ins style="font-weight: bold; text-decoration: none;">^7</ins> a^{-1} -<ins style="font-weight: bold; text-decoration: none;">19</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;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">+4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">-</ins>z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">3 </ins>a z<ins style="font-weight: bold; text-decoration: none;">+z a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</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;">8+</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">16</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4+10</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-2&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-71886:rev-1717583:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10a128/Kauffman_Polynomial&diff=71886&oldid=prev 2005-08-26T11:08:48Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^3 z^9+a z^9+2 a^4 z^8+6 a^2 z^8+4 z^8+2 a^5 z^7+5 a^3 z^7+10 a z^7+7 z^7 a^{-1} +a^6 z^6-4 a^2 z^6+7 z^6 a^{-2} +4 z^6-5 a^5 z^5-14 a^3 z^5-19 a z^5-6 z^5 a^{-1} +4 z^5 a^{-3} -4 a^6 z^4-13 a^4 z^4-16 a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} -16 z^4+2 a^5 z^3+4 a^3 z^3+4 a z^3-z^3 a^{-1} -3 z^3 a^{-3} +6 a^6 z^2+18 a^4 z^2+19 a^2 z^2+3 z^2 a^{-2} +10 z^2+3 a^5 z+5 a^3 z+3 a z+z a^{-1} -4 a^6-9 a^4-8 a^2-2-2 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