晶格L_20,4
格目录中的条目,这是一个联合项目
Gabriele Nebe,亚琛RWTH大学(nebe@math.rwth-aachen.de)和
尼尔·J·A·斯隆(njasloane@gmail.com)
上次修改时间:2014年7月18日星期五13:17:53 CEST
索引文件|缩写
此文件的内容
名称
尺寸
格拉姆
分流器
最小_形式
亲吻_编号
组订单(_O)
组_名称
发电机组
属性
参考文献
笔记
最后一行
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名称
L_20,4岁
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尺寸
20
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格拉姆
20 0
6
-2 6
1 0 6
-2 2 1 6
1 -1 0 1 6
-2 2 1 1 -3 6
-2 3 1 3 1 2 6
0 -1 -2 -3 1 -3 -3 6
-1 2 -2 0 -1 1 2 -1 6
1 -1 -2 -2 -2 1 -2 1 0 6
1 2 -2 1 -1 1 1 -2 2 2 6
2 2 1-2-1 0-1 0 1-1 0 6
-3 0 2 1 -2 3 2 -1 -1 0 -1 -3 6
1 2 -2 -2 0 0 1 1 1 2 1 1 -1 6
-1 -1 -3 1 -1 0 0 0 0 3 1 -2 0 0 6
1 2 2 1 -2 2 0 -1 -2 2 2 1 1 0 0 6
-1 1-2 1-2 2-1 0 2 1 2-1 0-1 0 0 6
-1 0 2 2 -1 2 1 -1 1 -2 -2 -1 2 -2 -1 -1 2 6
1 -2 0 0 0 -3 -1 1 -2 -2 -2 -1 0 -1 0 -1 -1 1 6
1 2 0 1 -1 -1 1 0 2 -2 0 2 -1 1 -1 0 0 2 2 6
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分流器
2^10 11^4
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最小_形式
6
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亲吻_编号
1320
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组订单(_O)
2^6 * 3^2 * 5 * 11
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组_名称
(SL_2(11)o SL_2(3))。2
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发电机组
三
20 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 0 -1 1 -1 0 1 1 -1 1 0 0 0 -1 -1 -1 -1 0 -1 0
1 1 -1 0 -1 0 1 0 -1 1 0 0 0 -1 -1 -1 -1 0 0 0
-1 -1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0
0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0
0 1 0 -1 0 0 -1 -1 0 -1 0 -1 0 0 0 0 0 0 0 0
0 0 0 0 1 -1 0 -1 0 1 0 1 1 0 0 0 1 0 0 0
0 0 1 0 0 0 -1 0 0 -1 0 0 0 1 1 0 1 0 0 0
0 -1 -1 1 -1 -1 1 0 -1 1 0 1 0 0 -1 0 0 1 -1 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
-1 -1 1 -1 1 0 0 0 0 -1 0 0 0 1 1 1 1 0 0 0
-1 0 3 -1 2 2 -2 0 1 -1 1 0 0 1 2 0 1 -1 1 1
0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 1 -1 0 0 1 0 -1 0 0 0 1 0 0 0 0 -1 0
0 0 -1 0 0 -1 0 -1 -1 0 0 0 0 0 0 0 0 1 -1 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 -1 0 1 -1 0 -1 0 0 0 1 -1 0 0 0
0 0 1 0 1 1 -1 0 1 0 0 -1 0 0 0 0 0 -1 0 1
20 20
-2 -2 2 -1 1 0 0 0 0 -1 1 0 -1 1 1 1 1 0 0 1
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1 1 0
0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0
1 1 -1 0 0 1 -1 0 0 -1 0 -1 0 0 0 0 -1 0 0 0
-1 0 3 -1 2 2 -2 0 1 -1 1 -1 -1 1 2 0 1 -1 1 1
1 0 -2 1 -1 -1 1 0 0 0 -1 1 1 0 -1 0 0 0 0 -1
1 0 0 1 0 2 0 1 0 0 0 0 0 0-1 0-1 1 0
-1 0 1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0
0 0 0 -1 0 0 1 0 -1 0 0 0 0 0 0 0 1 0 0 0
-1 -1 -1 0 0 -1 1 0 0 1 0 1 0 0 -1 1 0 1 0 0
0 -1 -1 0 0 0 1 0 0 0 0 0 0 0 -1 1 0 0 0 0
-1-1 1-1 0-1 0-1 0-1 0 0 1 1 1 1 0 0 0
2 1 -2 2 -1 0 1 1 0 1 -1 1 1 -1 -1 -1 -1 0 0 -1
-1 -1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 -1 1 1
0 0 -1 0 0 0 0 0 0 1 0 0 0 0 -1 0 -1 1 0 0
0 -1 -2 1 -1 -1 1 0 0 0 0 1 0 0 -1 1 -1 1 0 -1
0 0 -1 0 -1 -1 1 0 -1 0 0 0 0 0 -1 0 0 0 -1 0
0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0
0 0 1 1 0 1 -1 1 0 0 1 0 0 0 0 -1 -1 0 0 0
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
20 20
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 -1 0 0 1 0 -1 1 0 0 0 -1 0 -1 0 0 0 0
0 0 0 0 0 -1 0 0 0 0 0 1 1 0 0 0 0 0 0 0
0 0 -1 0 0 -1 0 0 0 0 0 1 1 0 0 0 0 1 0 -1
1 0 -2 1 0 0 0 0 0 0 0 1 1 0 -1 0 -1 1 0 -1
-1 0 1 -1 1 0 0 0 0 0 0 0 0 0 1 0 1 -1 0 1
-1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 -1 0 0 1 0
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
-1 -1 1 0 0 1 1 1 -1 1 1 0 -1 0 0 -1 0 0 0 1
0 0 1 -1 0 1 0 0 0 -1 0 -1 -1 0 1 0 1 -1 0 1
0 0 1 -1 0 1 0 1 0 -1 1 -1 -1 0 1 0 0 0 0 0
1 0 -1 0 -1 -1 2 0 -1 1 -1 0 0 -1 -1 0 0 0 -1 0
-2 0 3 -1 2 1 -2 0 1 -1 1 0 0 1 2 0 1 -1 1 1
0 1 1 -1 1 2 0 0 0 1 0 -1 -1 -1 0 -1 0 -1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 1 -1 0 0 0 0 0 -1 0 0 0 0 1 0 1 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 1 0 -1 0 0 0 1 0 1 1 0 0 -1 0 0 0 0
0 0 1 1 0 0 -1 0 1 0 0 0 0 1 0 0 0 0 1 -1
0 0 1 0 0 0 0 0 1 0 0 0 0 0-1 0 0 0 0 0
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属性
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参考文献
W.Plesken,G.Nebe,有限有理矩阵群。
AMS-备忘录第556号,第116卷(1995年),第49页。
G.Nebe,《一些环四元数晶格》,J.Alg。199(1998),472-498。
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笔记
Delta4型环四元离子晶格
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最后一行
Haftungsauschluss/免责声明
加布里埃尔·内布