Sensamagic family
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- This revision was by author genewardsmith and made on 2010-11-05 18:24:05 UTC.
- The original revision id was 176950455.
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Original Wikitext content:
Comma: 245/243
7-limit minimax
[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]
Eigenmonzos: 2, 8/7, 5/4
9-limit minimax
[|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]
Eigenmonzos: 2, 4/3, 7/5
Lattice basis: 3/2 0.9644 9/7 1.0807
Angle(3/2, 9/7) = 86.5288
Map to lattice: [<0 1 1 2|, <0 0 2 -1|]
Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|]
Generators: 2, 3, 9/7
Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237
===[[Minkowski blocks]]===
{2, 3, 7} subgroup
12: 729/686, 64/63
17: 64/63, 19683/19208
19: 49/48, 177147/175616
22: 64/63, 537824/531441
24: 64/63, 15059072/14348907
==Unidecimal sensamagic==
Commas: 245/243, 385/384
11-limit minimax
[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>,
|35/13 10/13 7/13 -7/13 -5/13>,
|35/13 10/13 -6/13 6/13 -5/13>,
|42/13 -14/13 -2/13 2/13 7/13>]
Eigenmonzos: 2, 11/9, 7/5
Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|]
Generators: 2, 3, 9/7Original HTML content:
<html><head><title>Sensamagic family</title></head><body>Comma: 245/243<br />
<br />
7-limit minimax<br />
[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]<br />
Eigenmonzos: 2, 8/7, 5/4<br />
<br />
9-limit minimax<br />
[|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]<br />
Eigenmonzos: 2, 4/3, 7/5 <br />
<br />
Lattice basis: 3/2 0.9644 9/7 1.0807<br />
Angle(3/2, 9/7) = 86.5288<br />
Map to lattice: [<0 1 1 2|, <0 0 2 -1|]<br />
<br />
Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|]<br />
Generators: 2, 3, 9/7<br />
Edos: 17, 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:0 --><a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a></h3>
{2, 3, 7} subgroup<br />
<br />
12: 729/686, 64/63<br />
17: 64/63, 19683/19208<br />
19: 49/48, 177147/175616<br />
22: 64/63, 537824/531441<br />
24: 64/63, 15059072/14348907<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Unidecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Unidecimal sensamagic</h2>
Commas: 245/243, 385/384<br />
<br />
11-limit minimax<br />
[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>, <br />
|35/13 10/13 7/13 -7/13 -5/13>, <br />
|35/13 10/13 -6/13 6/13 -5/13>, <br />
|42/13 -14/13 -2/13 2/13 7/13>]<br />
Eigenmonzos: 2, 11/9, 7/5<br />
<br />
Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|]<br />
Generators: 2, 3, 9/7</body></html>