https://katlas.org/index.php?action=history&feed=atom&title=Data%3A8_10%2FKhovanov_Rozansky_Polynomial 2026-04-12T02:38:11Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:8_10/Khovanov_Rozansky_Polynomial&diff=120924&oldid=prev 2006-05-12T02:57:09Z

<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 22:57, 11 May 2006</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;">\left(\frac</del>{<del style="font-weight: bold; text-decoration: none;">{q</del>} <del style="font-weight: bold; text-decoration: none;">{</del>t}<del style="font-weight: bold; text-decoration: none;">+1</del>}{<del style="font-weight: bold; text-decoration: none;">1-t</del>}<del style="font-weight: bold; text-decoration: none;">\right)</del> <del style="font-weight: bold; text-decoration: none;">(</del>{<del style="font-weight: bold; text-decoration: none;">q</del>} s^{<del style="font-weight: bold; text-decoration: none;">3</del>}<del style="font-weight: bold; text-decoration: none;"> </del>t^{<del style="font-weight: bold; text-decoration: none;">4</del>}+<del style="font-weight: bold; text-decoration: none;">q</del>^{2}<del style="font-weight: bold; text-decoration: none;"> {s</del>} t^{4}+<del style="font-weight: bold; text-decoration: none;">{</del>q<del style="font-weight: bold; text-decoration: none;">} s</del>^{2} <del style="font-weight: bold; text-decoration: none;">t^{3}+</del>s^{<del style="font-weight: bold; text-decoration: none;">3</del>} t^{<del style="font-weight: bold; text-decoration: none;">2</del>}+q^{2} t^{<del style="font-weight: bold; text-decoration: none;">3</del>}+4 <del style="font-weight: bold; text-decoration: none;">{</del>q} <del style="font-weight: bold; text-decoration: none;">{</del>s} t^{2}+<del style="font-weight: bold; text-decoration: none;">s</del>^{2}<del style="font-weight: bold; text-decoration: none;"> {t</del>}+<del style="font-weight: bold; text-decoration: none;">3</del> q^{2} s^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}} t^{2}<del style="font-weight: bold; text-decoration: none;">+2 {q} {t}+2 s</del>+q^{2} s^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}} {<del style="font-weight: bold; text-decoration: none;">t</del>}+<del style="font-weight: bold; text-decoration: none;">4 {</del>q} s^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}<del style="font-weight: bold; text-decoration: none;">+</del>t^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}<del style="font-weight: bold; text-decoration: none;">+q</del>^{2} <del style="font-weight: bold; text-decoration: none;">s</del>^{{-{<del style="font-weight: bold; text-decoration: none;">3</del>}}}+<del style="font-weight: bold; text-decoration: none;">{</del>q<del style="font-weight: bold; text-decoration: none;">} s</del>^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}} t^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}+<del style="font-weight: bold; text-decoration: none;">s</del>^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}} <del style="font-weight: bold; text-decoration: none;">t</del>^{{-{2}}}+<del style="font-weight: bold; text-decoration: none;">{</del>q} s^{{-{<del style="font-weight: bold; text-decoration: none;">3</del>}}} t^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}}<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; <ins style="font-weight: bold; text-decoration: none;">s^</ins>{<ins style="font-weight: bold; text-decoration: none;">6</ins>} t<ins style="font-weight: bold; text-decoration: none;">^{{-{4</ins>}}<ins style="font-weight: bold; text-decoration: none;">}+s^</ins>{<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">t^</ins>{<ins style="font-weight: bold; text-decoration: none;">{-{2</ins>}<ins style="font-weight: bold; text-decoration: none;">}}+2</ins> s^{<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;">+</ins>t^{<ins style="font-weight: bold; text-decoration: none;">2</ins>}+<ins style="font-weight: bold; text-decoration: none;">s</ins>^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2}<ins style="font-weight: bold; text-decoration: none;">}</ins>} t^{4}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{<ins style="font-weight: bold; text-decoration: none;">6</ins>} t^{<ins style="font-weight: bold; text-decoration: none;">{-{6}}</ins>}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}} s^{4</ins>} t^{<ins style="font-weight: bold; text-decoration: none;">{-{4}}</ins>}+4 q<ins style="font-weight: bold; text-decoration: none;">^{{-{2}}</ins>} s<ins style="font-weight: bold; text-decoration: none;">^{2</ins>} t^<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;">2 q</ins>^<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> q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{{-<ins style="font-weight: bold; text-decoration: none;">{2}</ins>}} t^{2}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} <ins style="font-weight: bold; text-decoration: none;">t^</ins>{<ins style="font-weight: bold; text-decoration: none;">4</ins>}+q<ins style="font-weight: bold; text-decoration: none;">^{{-{2}}</ins>} s^{{-<ins style="font-weight: bold; text-decoration: none;">{6</ins>}}<ins style="font-weight: bold; text-decoration: none;">} </ins>t<ins style="font-weight: bold; text-decoration: none;">^{6}+q</ins>^{{-<ins style="font-weight: bold; text-decoration: none;">{4</ins>}}<ins style="font-weight: bold; text-decoration: none;">} s</ins>^{2} <ins style="font-weight: bold; text-decoration: none;">t</ins>^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}}+q^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} t^{{-<ins style="font-weight: bold; text-decoration: none;">{2}</ins>}}+<ins style="font-weight: bold; text-decoration: none;">3 q</ins>^{{-<ins style="font-weight: bold; text-decoration: none;">{4}</ins>}} <ins style="font-weight: bold; text-decoration: none;">s</ins>^{{-{2}}}+q<ins style="font-weight: bold; text-decoration: none;">^{{-{4}}</ins>} s^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} t<ins style="font-weight: bold; text-decoration: none;">^{2}+q</ins>^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}}<ins style="font-weight: bold; text-decoration: none;"> s^{{-{6}}} t^{4}</ins>&lt;/math&gt;</div></td> </tr> </table>

Scott https://katlas.org/index.php?title=Data:8_10/Khovanov_Rozansky_Polynomial&diff=49756&oldid=prev 2006-05-12T02:55:36Z

<p>Reverted edit of Scott-KR-Robot, changed back to last version by Scott</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 22:55, 11 May 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></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; \left(\frac{{q} {t}+1}{1-t}\right) ({q} s^{3} t^{4}+q^{2} {s} t^{4}+{q} s^{2} t^{3}+s^{3} t^{2}+q^{2} t^{3}+4 {q} {s} t^{2}+s^{2} {t}+3 q^{2} s^{{-1}} t^{2}+2 {q} {t}+2 s+q^{2} s^{{-{2}}} {t}+4 {q} s^{{-1}}+t^{{-1}}+q^{2} s^{{-{3}}}+{q} s^{{-{2}}} t^{{-1}}+s^{{-1}} t^{{-{2}}}+{q} s^{{-{3}}} t^{{-{2}}})&lt;/math&gt;</div></td> </tr> </table>

Scott https://katlas.org/index.php?title=Data:8_10/Khovanov_Rozansky_Polynomial&diff=49755&oldid=prev 2006-05-12T02:52:12Z

<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 22:52, 11 May 2006</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; s^{6} t^{{-{4}}}+s^{4} t^{{-{2}}}+2 s^{2}+t^{2}+s^{{-{2}}} t^{4}+q^{{-{2}}} s^{6} t^{{-{6}}}+q^{{-{2}}} s^{4} t^{{-{4}}}+4 q^{{-{2}}} s^{2} t^{{-{2}}}+2 q^{{-{2}}}+4 q^{{-{2}}} s^{{-{2}}} t^{2}+q^{{-{2}}} s^{{-{4}}} t^{4}+q^{{-{2}}} s^{{-{6}}} t^{6}+q^{{-{4}}} s^{2} t^{{-{4}}}+q^{{-{4}}} t^{{-{2}}}+3 q^{{-{4}}} s^{{-{2}}}+q^{{-{4}}} s^{{-{4}}} t^{2}+q^{{-{4}}} s^{{-{6}}} t^{4}&lt;/math&gt;</div></td> <td colspan="2" class="diff-empty diff-side-added"></td> </tr> </table>

Scott-KR-Robot https://katlas.org/index.php?title=Data:8_10/Khovanov_Rozansky_Polynomial&diff=49754&oldid=prev 2006-05-10T20:14:00Z

<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 16:14, 10 May 2006</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;">\left(\frac</del>{<del style="font-weight: bold; text-decoration: none;">{q</del>} <del style="font-weight: bold; text-decoration: none;">{</del>t}<del style="font-weight: bold; text-decoration: none;">+1</del>}{<del style="font-weight: bold; text-decoration: none;">1-t</del>}<del style="font-weight: bold; text-decoration: none;">\right)</del> <del style="font-weight: bold; text-decoration: none;">(</del>{<del style="font-weight: bold; text-decoration: none;">q</del>} s^{<del style="font-weight: bold; text-decoration: none;">3</del>}<del style="font-weight: bold; text-decoration: none;"> </del>t^{<del style="font-weight: bold; text-decoration: none;">4</del>}+<del style="font-weight: bold; text-decoration: none;">q</del>^{2}<del style="font-weight: bold; text-decoration: none;"> {s</del>} t^{4}+<del style="font-weight: bold; text-decoration: none;">{</del>q<del style="font-weight: bold; text-decoration: none;">} s</del>^{2} <del style="font-weight: bold; text-decoration: none;">t^{3}+</del>s^{<del style="font-weight: bold; text-decoration: none;">3</del>} t^{<del style="font-weight: bold; text-decoration: none;">2</del>}+q^{2} t^{<del style="font-weight: bold; text-decoration: none;">3</del>}+4 <del style="font-weight: bold; text-decoration: none;">{</del>q} <del style="font-weight: bold; text-decoration: none;">{</del>s} t^{2}+<del style="font-weight: bold; text-decoration: none;">s</del>^{2}<del style="font-weight: bold; text-decoration: none;"> {t</del>}+<del style="font-weight: bold; text-decoration: none;">3</del> q^{2} s^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}} t^{2}<del style="font-weight: bold; text-decoration: none;">+2 {q} {t}+2 s</del>+q^{2} s^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}} {<del style="font-weight: bold; text-decoration: none;">t</del>}+<del style="font-weight: bold; text-decoration: none;">4 {</del>q} s^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}<del style="font-weight: bold; text-decoration: none;">+</del>t^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}<del style="font-weight: bold; text-decoration: none;">+q</del>^{2} <del style="font-weight: bold; text-decoration: none;">s</del>^{{-{<del style="font-weight: bold; text-decoration: none;">3</del>}}}+<del style="font-weight: bold; text-decoration: none;">{</del>q<del style="font-weight: bold; text-decoration: none;">} s</del>^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}} t^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}}+<del style="font-weight: bold; text-decoration: none;">s</del>^{{-<del style="font-weight: bold; text-decoration: none;">1</del>}} <del style="font-weight: bold; text-decoration: none;">t</del>^{{-{2}}}+<del style="font-weight: bold; text-decoration: none;">{</del>q} s^{{-{<del style="font-weight: bold; text-decoration: none;">3</del>}}} t^{{-{<del style="font-weight: bold; text-decoration: none;">2</del>}}}<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; <ins style="font-weight: bold; text-decoration: none;">s^</ins>{<ins style="font-weight: bold; text-decoration: none;">6</ins>} t<ins style="font-weight: bold; text-decoration: none;">^{{-{4</ins>}}<ins style="font-weight: bold; text-decoration: none;">}+s^</ins>{<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">t^</ins>{<ins style="font-weight: bold; text-decoration: none;">{-{2</ins>}<ins style="font-weight: bold; text-decoration: none;">}}+2</ins> s^{<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;">+</ins>t^{<ins style="font-weight: bold; text-decoration: none;">2</ins>}+<ins style="font-weight: bold; text-decoration: none;">s</ins>^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2}<ins style="font-weight: bold; text-decoration: none;">}</ins>} t^{4}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{<ins style="font-weight: bold; text-decoration: none;">6</ins>} t^{<ins style="font-weight: bold; text-decoration: none;">{-{6}}</ins>}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}} s^{4</ins>} t^{<ins style="font-weight: bold; text-decoration: none;">{-{4}}</ins>}+4 q<ins style="font-weight: bold; text-decoration: none;">^{{-{2}}</ins>} s<ins style="font-weight: bold; text-decoration: none;">^{2</ins>} t^<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;">2 q</ins>^<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> q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{{-<ins style="font-weight: bold; text-decoration: none;">{2}</ins>}} t^{2}+q^<ins style="font-weight: bold; text-decoration: none;">{{-</ins>{2<ins style="font-weight: bold; text-decoration: none;">}}</ins>} s^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} <ins style="font-weight: bold; text-decoration: none;">t^</ins>{<ins style="font-weight: bold; text-decoration: none;">4</ins>}+q<ins style="font-weight: bold; text-decoration: none;">^{{-{2}}</ins>} s^{{-<ins style="font-weight: bold; text-decoration: none;">{6</ins>}}<ins style="font-weight: bold; text-decoration: none;">} </ins>t<ins style="font-weight: bold; text-decoration: none;">^{6}+q</ins>^{{-<ins style="font-weight: bold; text-decoration: none;">{4</ins>}}<ins style="font-weight: bold; text-decoration: none;">} s</ins>^{2} <ins style="font-weight: bold; text-decoration: none;">t</ins>^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}}+q^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} t^{{-<ins style="font-weight: bold; text-decoration: none;">{2}</ins>}}+<ins style="font-weight: bold; text-decoration: none;">3 q</ins>^{{-<ins style="font-weight: bold; text-decoration: none;">{4}</ins>}} <ins style="font-weight: bold; text-decoration: none;">s</ins>^{{-{2}}}+q<ins style="font-weight: bold; text-decoration: none;">^{{-{4}}</ins>} s^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}} t<ins style="font-weight: bold; text-decoration: none;">^{2}+q</ins>^{{-{<ins style="font-weight: bold; text-decoration: none;">4</ins>}}}<ins style="font-weight: bold; text-decoration: none;"> s^{{-{6}}} t^{4}</ins>&lt;/math&gt;</div></td> </tr> </table>

Scott-KR-Robot https://katlas.org/index.php?title=Data:8_10/Khovanov_Rozansky_Polynomial&diff=49736&oldid=prev 2005-11-30T20:49:45Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt; \left(\frac{{q} {t}+1}{1-t}\right) ({q} s^{3} t^{4}+q^{2} {s} t^{4}+{q} s^{2} t^{3}+s^{3} t^{2}+q^{2} t^{3}+4 {q} {s} t^{2}+s^{2} {t}+3 q^{2} s^{{-1}} t^{2}+2 {q} {t}+2 s+q^{2} s^{{-{2}}} {t}+4 {q} s^{{-1}}+t^{{-1}}+q^{2} s^{{-{3}}}+{q} s^{{-{2}}} t^{{-1}}+s^{{-1}} t^{{-{2}}}+{q} s^{{-{3}}} t^{{-{2}}})&lt;/math&gt;</div>

Scott