Epimorphic Euler genera: Difference between revisions
Wikispaces>genewardsmith **Imported revision 477465950 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 477603960 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-15 15:46:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>477603960</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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==Rank three== | ==Rank three== | ||
Genus(7^4*5*11), Genus(7^4*11*13) | Genus(7^4*5*11), Genus(7^4*11*13) | ||
=Twenty-one notes= | |||
==Rank one== | |||
Genus(7^20) | |||
==Rank two== | |||
Genus(3^6*7^2), Genus(7^6*5^2), Genus(13^6*5^2) | |||
=Twenty-two notes= | =Twenty-two notes= | ||
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Genus(7^4*5*11), Genus(7^4*11*13)<br /> | Genus(7^4*5*11), Genus(7^4*11*13)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Twenty- | <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Twenty-one notes"></a><!-- ws:end:WikiTextHeadingRule:48 -->Twenty-one notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Twenty-two notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Twenty-one notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:50 -->Rank one</h2> | ||
Genus(7^20)<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Twenty-one notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:52 -->Rank two</h2> | |||
Genus(3^6*7^2), Genus(7^6*5^2), Genus(13^6*5^2)<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:54:&lt;h1&gt; --><h1 id="toc27"><a name="Twenty-two notes"></a><!-- ws:end:WikiTextHeadingRule:54 -->Twenty-two notes</h1> | |||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Twenty-two notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:56 -->Rank one</h2> | |||
Genus(5^21)<br /> | Genus(5^21)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Twenty-two notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:58 -->Rank two</h2> | ||
Genus(5^10*7), Genus(7^10*3), Genus(11^10*5), Genus(11^10*13)<br /> | Genus(5^10*7), Genus(7^10*3), Genus(11^10*5), Genus(11^10*13)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:60:&lt;h1&gt; --><h1 id="toc30"><a name="Twenty-four notes"></a><!-- ws:end:WikiTextHeadingRule:60 -->Twenty-four notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Twenty-four notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:62 -->Rank one</h2> | ||
Genus(11^23)<br /> | Genus(11^23)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:64:&lt;h2&gt; --><h2 id="toc32"><a name="Twenty-four notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:64 -->Rank two</h2> | ||
Genus(3^11*7) (patent), Genus(3^11*11), Genus(3^11*13)<br /> | Genus(3^11*7) (patent), Genus(3^11*11), Genus(3^11*13)<br /> | ||
Genus(5^2*11^7), Genus(5^2*13^7)<br /> | Genus(5^2*11^7), Genus(5^2*13^7)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Twenty-four notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:66 -->Rank three</h2> | ||
Genus(3^3*5^2*7) (patent), Genus(3^3*5^2*11), Genus(3^3*5^2*13)<br /> | Genus(3^3*5^2*7) (patent), Genus(3^3*5^2*11), Genus(3^3*5^2*13)<br /> | ||
Genus(3^2*7*13^3) (24d)<br /> | Genus(3^2*7*13^3) (24d)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="Twenty-four notes-Rank four"></a><!-- ws:end:WikiTextHeadingRule:68 -->Rank four</h2> | ||
Genus(3*5^2*7*13) (24d)<br /> | Genus(3*5^2*7*13) (24d)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:70:&lt;h1&gt; --><h1 id="toc35"><a name="Twenty-five notes"></a><!-- ws:end:WikiTextHeadingRule:70 -->Twenty-five notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:72:&lt;h2&gt; --><h2 id="toc36"><a name="Twenty-five notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:72 -->Rank one</h2> | ||
Genus(5^24)<br /> | Genus(5^24)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:74:&lt;h2&gt; --><h2 id="toc37"><a name="Twenty-five notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:74 -->Rank two</h2> | ||
Genus(5^4*7^4)<br /> | Genus(5^4*7^4)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:76:&lt;h1&gt; --><h1 id="toc38"><a name="Twenty-six notes"></a><!-- ws:end:WikiTextHeadingRule:76 -->Twenty-six notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:78:&lt;h2&gt; --><h2 id="toc39"><a name="Twenty-six notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:78 -->Rank one</h2> | ||
Genus(7^25)<br /> | Genus(7^25)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:80:&lt;h2&gt; --><h2 id="toc40"><a name="Twenty-six notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:80 -->Rank two</h2> | ||
Genus(7^12*5), Genus(11^12*3), Genus(11^12*7)<br /> | Genus(7^12*5), Genus(11^12*3), Genus(11^12*7)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:82:&lt;h1&gt; --><h1 id="toc41"><a name="Twenty-seven notes"></a><!-- ws:end:WikiTextHeadingRule:82 -->Twenty-seven notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:84:&lt;h2&gt; --><h2 id="toc42"><a name="Twenty-seven notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:84 -->Rank one</h2> | ||
Genus(13^26)<br /> | Genus(13^26)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:86:&lt;h2&gt; --><h2 id="toc43"><a name="Twenty-seven notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:86 -->Rank two</h2> | ||
Genus(5^2*13^8)<br /> | Genus(5^2*13^8)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:88:&lt;h2&gt; --><h2 id="toc44"><a name="Twenty-seven notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:88 -->Rank three</h2> | ||
Genus(5^2*11^2*13^2) (patent)<br /> | Genus(5^2*11^2*13^2) (patent)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:90:&lt;h1&gt; --><h1 id="toc45"><a name="Twenty-eight notes"></a><!-- ws:end:WikiTextHeadingRule:90 -->Twenty-eight notes</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:92:&lt;h2&gt; --><h2 id="toc46"><a name="Twenty-eight notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:92 -->Rank one</h2> | ||
Genus(5^27)<br /> | Genus(5^27)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:94:&lt;h2&gt; --><h2 id="toc47"><a name="Twenty-eight notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:94 -->Rank two</h2> | ||
Genus(5^3*13^6)</body></html></pre></div> | Genus(5^3*13^6)</body></html></pre></div> | ||