https://katlas.org/index.php?action=history&feed=atom&title=Data%3A7_7%2FKauffman_Polynomial 2026-05-17T07:44:10Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:7_7/Kauffman_Polynomial&diff=1719289&oldid=prev 2013-02-20T22:00:57Z

<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 18:00, 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;z^<del style="font-weight: bold; text-decoration: none;">6</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;">6+3</del> a <del style="font-weight: bold; text-decoration: none;">z^5</del>+<del style="font-weight: bold; text-decoration: none;">5 z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +2 z^5 a^{-3} +<del style="font-weight: bold; text-decoration: none;">3 </del>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^4<del style="font-weight: bold; text-decoration: none;">+2</del> z^<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;">^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">4 </del>z^<del style="font-weight: bold; text-decoration: none;">4+a^3 z^3-3</del> a<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;">8</del> <del style="font-weight: bold; text-decoration: none;">z^</del>3 a^<del style="font-weight: bold; text-decoration: none;">{-1}</del> <del style="font-weight: bold; text-decoration: none;">-</del>4 z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -3 a^2 z^2-6 z^2 a^{-2} <del style="font-weight: bold; text-decoration: none;">-2 z^</del>2 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-7 z^2</del>+a z+<del style="font-weight: bold; text-decoration: none;">3</del> z a^{-1} <del style="font-weight: bold; text-decoration: none;">+2</del> z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<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>4<del style="font-weight: bold; text-decoration: none;">}</del> +2&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;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">-2 </ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a<ins style="font-weight: bold; text-decoration: none;">^{-4}</ins> + a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +2 z^5 a^{-3} +a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">2 </ins>z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^<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;">+</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z^</ins>4<ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -3 a^2 z^2-6 z^2 a^{-2} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">3 </ins>a z<ins style="font-weight: bold; text-decoration: none;">^5</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">-3 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^3-8 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">a z+3 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">z^6+4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^4<ins style="font-weight: bold; text-decoration: none;">-7</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>+2&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:7_7/Kauffman_Polynomial&diff=61421&oldid=prev 2005-08-24T16:47:24Z

<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 12:47, 24 August 2005</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;">\frac{</del>z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^2}+z^6+3 a z^5+<del style="font-weight: bold; text-decoration: none;">\frac{</del>5 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^3}+3 a^2 z^4+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^2}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^4}+4 z^4+a^3 z^3-3 a z^3-<del style="font-weight: bold; text-decoration: none;">\frac{</del>8 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>4 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^3}-3 a^2 z^2-<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^2}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^4}-7 z^2+a z+<del style="font-weight: bold; text-decoration: none;">\frac{</del>3 z<del style="font-weight: bold; text-decoration: none;">}{</del>a}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z<del style="font-weight: bold; text-decoration: none;">}{</del>a^3}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2<del style="font-weight: bold; text-decoration: none;">}{</del>a^2}+<del style="font-weight: bold; text-decoration: none;">\frac{1}{</del>a^4}+2&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^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^6+3 a z^5+5 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a<ins style="font-weight: bold; text-decoration: none;">^{-1</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3}<ins style="font-weight: bold; text-decoration: none;"> </ins>+3 a^2 z^4+2 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>+4 z^4+a^3 z^3-3 a z^3-8 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a<ins style="font-weight: bold; text-decoration: none;">^{-1</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>-4 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3}<ins style="font-weight: bold; text-decoration: none;"> </ins>-3 a^2 z^2-6 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2}<ins style="font-weight: bold; text-decoration: none;"> </ins>-2 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>-7 z^2+a z+3 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a<ins style="font-weight: bold; text-decoration: none;">^{-1</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<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;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:7_7/Kauffman_Polynomial&diff=1356&oldid=prev 2005-08-24T00:35:50Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;\frac{z^6}{a^2}+z^6+3 a z^5+\frac{5 z^5}{a}+\frac{2 z^5}{a^3}+3 a^2 z^4+\frac{2 z^4}{a^2}+\frac{z^4}{a^4}+4 z^4+a^3 z^3-3 a z^3-\frac{8 z^3}{a}-\frac{4 z^3}{a^3}-3 a^2 z^2-\frac{6 z^2}{a^2}-\frac{2 z^2}{a^4}-7 z^2+a z+\frac{3 z}{a}+\frac{2 z}{a^3}+\frac{2}{a^2}+\frac{1}{a^4}+2&lt;/math&gt;</div>

ScottDataRobot