格子R20
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日星期五13:26:37 CEST
索引文件|缩写
此文件的内容
名称
尺寸
除数
克
最小_形式
亲吻_编号
HERMITIAN_集团_名称
HERMITIAN_集团_订单
HERMITIAN_集团_发电机
埃尔米特结构
属性
参考文献
笔记
最后一行
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名称
20兰特
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尺寸
20
-
除数
2^10
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克
20 0
4
0 4
0 0 4
2 2 2 4
0 0 -2 -1 4
0 0 0 1 0 4
2 0 0 1 0 4
1 -1 -1 0 2 2 2 4
1 -1 -1 0 1 1 1 1 4
1 1 1 2 -1 1 -1 -1 0 4
1 -1 1 0 -1 1 1 1 0 0 4
1-1 1 0 2 0 1 2 2 2 4
-1 1 1 0 -1 -1 -1 -2 -2 0 0 -1 4
-1 -1 -1 -2 1 -1 -1 0 0 -2 0 -1 0 4
-1 1 -1 0 1 1 -1 0 0 0 -2 -1 0 0 4
-1 1 -1 -1 1 -1 -1 -1 -1 -1 -1 -2 2 2 2 4
1-1 1 0 0 0 1 1-1 1-2 0 0-1 4
1 1 1 1 0 0 0 0 -1 1 1 1 0 -2 0 -1 0 4
-1 -1 1 -1 0 0 0 0 1 -1 1 1 0 0 -2 -1 0 0 4
0 0 2 1 0 0 0 0 0 0 0 1 -1 -1 -1 -2 2 2 2 4
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最小_形式
4
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亲吻_编号
3960
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HERMITIAN_集团_名称
SU_5(2)
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HERMITIAN_集团_订单
2^11 * 3^5 * 5 * 11
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HERMITIAN_集团_发电机
2
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 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 -1 0 0 0 -1 -1 -1 2 -1 -1 -1 2 0 0 0 0
0 0 0 0 0 -1 0 0 0 0 1 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 -1 0 0 -1 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0 0 0 -1 -1 -1 0 1 -1 -1 0 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 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 0 0 1 0 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 1 0 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 0 0 1 0 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 -1 0 -1 1 -1 0 -1 1 -1 0 0 0
0 0 0 0 0 0 0 0 -1 -1 0 1 -1 -1 0 1 0 -1 0 0
0 0 0 0 0 0 0 0 0 -1 -1 1 0 -1 -1 1 0 0 -1 0
0 0 0 0 0 0 0-1-1 1-1-1 1 0 0 0-1
20 20
0 0 1 0 1 1 0 -1 0 -1 0 -1 0 0 0 -1 1 1 0 -2
1 1 1 -2 -1 0 -1 1 1 -1 -1 1 0 -1 -1 1 -1 -1 -2 2
-1 0 0 0 0 0 0 1 2 2 1 -3 1 1 0 -1 1 1 0 0
0 1 1-1 0-1 1 2 0 1-2 1 0-1 1 0-1 0-1 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 0 0 1 0 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 0 0 1 0 0 0 0
-1-1-1 2 1 0-1 0 0 1-1 1 1 1-2 1 1-2
0 0 1 0 0 0 -1 1 1 0 0 -1 0 0 -1 0 0 0 -1 0
0 -1 0 0 1 1 1 -1 0 1 0 -1 0 1 0 0 0 1 0 0
-1 -1 0 1 1 0 0 0 1 1 1 -2 1 1 0 -1 1 1 0 -1
1 1 1 -2 -1 0 0 1 0 0 -1 1 0 0 0 0 0 0 0 0
0 0 -1 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 -1 -1 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0
1 1 0 -1 -1 0 0 0 -1 -1 -1 2 0 0 0 0 0 0 0 0
-1 0 0 1 1 0 0 -1 0 0 1 -1 0 0 0 -1 1 0 0 -1
0 0 1 -1 0 0 -1 1 1 0 0 -1 0 -1 -1 1 0 0 -1 1
-1 -1 -1 1 1 1 1 -1 0 1 0 -1 1 1 0 -1 1 1 1 -1
-1 0 0 0 1 0 0 0 1 1 1 -2 1 0 0 -1 1 0 0 0
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埃尔米特结构
4
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 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1 0 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 0 0 1
20 20个
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 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 -1 0 0 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 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 -1 0 0 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 0 0 0 0
0 0 0 0 0 0 0 0 1 1 1 -2 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 1 -1 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 -2 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 -2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -1
20 20
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 -1 -1 2 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 0
-1 -1 0 1 0 0 0 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 -1 -1 -1 2 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 0 -1 -1 0 1 0 0 0 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 -1 -1 -1 2 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 1 0 0 0 0 0 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 -1 -1 -1 2 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 0 -1 -1 0 1 0 0 0 0
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 -1 -1 -1 2
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 0 -1 -1 0 1
20 20
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 1 0 0 0 0 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 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 -1 0 0 1 0 0 0 0 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 -1 0 -1 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 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 -1 0 -1 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0
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 -1 0 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1
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属性
模块化=1
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参考文献
C.Bachoc,Voisinage au sens de Kneser pour les r \'eseaux四元数。
注释。数学。Helvetici 70(1995),350-374。
Bachoc,Nebe:两类32维晶格的分类
超过赫尔维茨命令
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笔记
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最后一行
Haftungsauschluss/免责声明
加布里埃尔·内布