Hemimean family: Difference between revisions

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**Imported revision 165299437 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 165312609 - 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>2010-09-24 21:49:56 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 00:28:09 UTC</tt>.<br>
: The original revision id was <tt>165299437</tt>.<br>
: The original revision id was <tt>165312609</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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Eigenmonzos: 2, 7/6, 4/3
Eigenmonzos: 2, 7/6, 4/3


Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|]
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849
Angle(28/25, 3/2) = 90 degrees
Map to lattice: [&lt;0 0 2 5|, &lt;0 1 0 0|]
 
Map: [&lt;1 0 0 -3|, &lt;0 1 0 0|, &lt;0 0 2 5|]  
Generators: 2, 3, 56/25
Generators: 2, 3, 56/25
Edos: 217, 229, 328, 359, 446
Edos: 217, 229, 328, 359, 446
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Eigenmonzos: 2, 7/6, 4/3&lt;br /&gt;
Eigenmonzos: 2, 7/6, 4/3&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3|, &amp;lt;0 1 0 0|, &amp;lt;0 0 2 5|]&lt;br /&gt;
Lattice basis: 28/25 length 0.5055 3/2 length 1.5849&lt;br /&gt;
Angle(28/25, 3/2) = 90 degrees&lt;br /&gt;
Map to lattice: [&amp;lt;0 0 2 5|, &amp;lt;0 1 0 0|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -3|, &amp;lt;0 1 0 0|, &amp;lt;0 0 2 5|] &lt;br /&gt;
Generators: 2, 3, 56/25&lt;br /&gt;
Generators: 2, 3, 56/25&lt;br /&gt;
Edos: 217, 229, 328, 359, 446&lt;br /&gt;
Edos: 217, 229, 328, 359, 446&lt;br /&gt;

Revision as of 00:28, 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 00:28:09 UTC.
The original revision id was 165312609.
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

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

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

11 limit minimax

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

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 />
<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 />
<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 />
<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</body></html>