Hemimean family: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 165313403 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 165314143 - Original comment: **
Line 1: Line 1:
<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>2010-09-25 00:42:12 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 00:55:59 UTC</tt>.<br>
: The original revision id was <tt>165313403</tt>.<br>
: The original revision id was <tt>165314143</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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11 limit minimax
11 limit minimax
 
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |8/5 3/5 1/5 0 -1/5&gt;,
|1 3/2 1/2 0 -1/2&gt;, |8/5 3/5 -4/5 0 4/5&gt;]
Eigenmonzos: 2, 11/10, 4/3
Eigenmonzos: 2, 11/10, 4/3


Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]
Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]
Generators: 2, 3, 768/343</pre></div>
Generators: 2, 3, 768/343
Edos: 130, 241</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hemimean family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 3136/3125, hemimean&lt;br /&gt;
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hemimean family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 3136/3125, hemimean&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
11 limit minimax&lt;br /&gt;
11 limit minimax&lt;br /&gt;
&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |8/5 3/5 1/5 0 -1/5&amp;gt;, &lt;br /&gt;
|1 3/2 1/2 0 -1/2&amp;gt;, |8/5 3/5 -4/5 0 4/5&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/10, 4/3&lt;br /&gt;
Eigenmonzos: 2, 11/10, 4/3&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 8|, &amp;lt;0 1 0 0 3|, &amp;lt;0 0 2 5 -8|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3 8|, &amp;lt;0 1 0 0 3|, &amp;lt;0 0 2 5 -8|]&lt;br /&gt;
Generators: 2, 3, 768/343&lt;/body&gt;&lt;/html&gt;</pre></div>
Generators: 2, 3, 768/343&lt;br /&gt;
Edos: 130, 241&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:55, 25 September 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2010-09-25 00:55:59 UTC.
The original revision id was 165314143.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Comma: 3136/3125, hemimean

7 and 9 limit minimax
[|1 0 0 0>, |0 1 0 0>, |6/5 0 0 2/5>, |0 0 0 1>]
Eigenmonzos: 2, 7/6, 4/3

Lattice basis: 28/25 length 0.5055 3/2 length 1.5849
Angle(28/25, 3/2) = 90 degrees
Map to lattice: [<0 0 2 5|, <0 1 0 0|]

Map: [<1 0 0 -3|, <0 1 0 0|, <0 0 2 5|] 
Generators: 2, 3, 56/25
Edos: 217, 229, 328, 359, 446

==11 limit children==

===Belobog===
Commas: 3136/3125, 441/440

11 limit minimax
[|1 0 0 0 0>, |27/22 6/11 -5/22 -3/11 5/22>, 
|24/11 -4/11 -2/11 2/11 2/11>, 
|27/11 -10/11 -5/11 5/11 5/11>, 
|24/11 -4/11 -13/11 2/11 13/11>]
Eigenmonzos: 2, 11/10, 9/7

Map: [<1 0 0 -3 -9|, <0 1 0 0 2|, [0 0 2 5 8|]
Generators: 2, 3, 56/25
Edos: 248, 378, 626

===Siebog===
Commas: 3136/3125, 540/539

11 limit minimax
[|1 0 0 0 0>, |0 1 0 0 0>, |8/5 3/5 1/5 0 -1/5>, 
|1 3/2 1/2 0 -1/2>, |8/5 3/5 -4/5 0 4/5>]
Eigenmonzos: 2, 11/10, 4/3

Map: [<1 0 0 -3 8|, <0 1 0 0 3|, <0 0 2 5 -8|]
Generators: 2, 3, 768/343
Edos: 130, 241

Original HTML content:

<html><head><title>Hemimean family</title></head><body>Comma: 3136/3125, hemimean<br />
<br />
7 and 9 limit minimax<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |6/5 0 0 2/5&gt;, |0 0 0 1&gt;]<br />
Eigenmonzos: 2, 7/6, 4/3<br />
<br />
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849<br />
Angle(28/25, 3/2) = 90 degrees<br />
Map to lattice: [&lt;0 0 2 5|, &lt;0 1 0 0|]<br />
<br />
Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|] <br />
Generators: 2, 3, 56/25<br />
Edos: 217, 229, 328, 359, 446<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-11 limit children-Belobog"></a><!-- ws:end:WikiTextHeadingRule:2 -->Belobog</h3>
Commas: 3136/3125, 441/440<br />
<br />
11 limit minimax<br />
[|1 0 0 0 0&gt;, |27/22 6/11 -5/22 -3/11 5/22&gt;, <br />
|24/11 -4/11 -2/11 2/11 2/11&gt;, <br />
|27/11 -10/11 -5/11 5/11 5/11&gt;, <br />
|24/11 -4/11 -13/11 2/11 13/11&gt;]<br />
Eigenmonzos: 2, 11/10, 9/7<br />
<br />
Map: [&lt;1 0 0 -3 -9|, &lt;0 1 0 0 2|, [0 0 2 5 8|]<br />
Generators: 2, 3, 56/25<br />
Edos: 248, 378, 626<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11 limit children-Siebog"></a><!-- ws:end:WikiTextHeadingRule:4 -->Siebog</h3>
Commas: 3136/3125, 540/539<br />
<br />
11 limit minimax<br />
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |8/5 3/5 1/5 0 -1/5&gt;, <br />
|1 3/2 1/2 0 -1/2&gt;, |8/5 3/5 -4/5 0 4/5&gt;]<br />
Eigenmonzos: 2, 11/10, 4/3<br />
<br />
Map: [&lt;1 0 0 -3 8|, &lt;0 1 0 0 3|, &lt;0 0 2 5 -8|]<br />
Generators: 2, 3, 768/343<br />
Edos: 130, 241</body></html>