格子LAMBDA(RM)=BW32
《格目录》中的一个条目,该目录是
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日星期五13:17:48 CEST
索引文件|缩写
此文件的内容
名称
尺寸
格拉姆
DET公司
最小_形式
MINVECS公司
亲吻_编号
密度
HERMITE_NUMBER公司
组订单(_O)
发电机组
学士_心理学
属性
参考文献
笔记
最后一行
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名称
兰巴达(RM)=BW32
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尺寸
32
-
格拉姆
32 0个
4
-2 4
-2 0 4
-2 0 0 4
1 -2 0 0 4
1 1 -1 -1 1 4
-1 1 1 0 -2 0 4
-1 1 0 0 -2 0 0 4
0 1 0 0 -2 -1 0 0 4
-1 1 0 0 -2 0 0 2 0 4
-2 0 2 0 0 -1 0 0 0 1 4
-1 -1 1 1 1 0 -1 0 0 1 1 4
-1 -1 1 1 0 -2 -1 0 1 1 2 2 4
1 1 -1 -1 0 2 1 0 -1 -1 -2 -2 -2 4
-2 0 0 2 0 -1 1 0 -1 0 0 1 0 0 4
0 1 1 -1 1 2 -1 0 -1 0 0 0 -1 1 -1 4
1 1 0 -2 0 2 0 1 0 0 -1 -1 -2 1 -2 1 4
-1 -1 2 0 1 0 0 1 -1 0 1 2 1 -1 0 0 0 4
1 1 0 -2 -1 0 0 1 1 0 -1 -1 0 1 -2 0 2 0 4
1 1 -2 0 0 2 0 -1 0 0 -1 -1 -1 2 0 1 0 -2 0 4
-2 0 1 1 0 0 1 1 -1 1 1 1 1 0 2 0 -1 1 -1 0 4
-1 -1 0 2 0 -1 1 0 -1 0 1 1 1 -1 2 -1 -2 0 -2 0 1 4
-1 2 -1 0 -1 0 0 0 1 1 1 0 1 0 0 0 -1 -1 0 1 0 0 4
1-1 0 2 0-2 0-2-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1-2 1 0 1 0 1-1-1-1 0 0 0 1 0 0 1 0-1 0 1-2 1 4
1 -2 -1 0 1 -1 -1 -1 0 0 1 1 1 -2 0 -2 -1 0 -1 -1 -1 1 0 0 0 4
1 -1 0 0 2 1 -2 0 0 -1 0 1 1 0 -1 1 0 1 0 0 0 0 0 1 0 0 4
1 0 0 -2 1 0 0 -1 -1 -1 0 -1 0 1 -1 0 1 0 2 0 -1 -1 0 1 0 0 0 4
1 -2 1 0 2 0 0 -1 -1 -2 -1 1 0 0 0 0 0 2 0 -1 0 0 -2 2 2 0 1 1 4
-1 1 -1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 2 0 1 0 -1 -1 0 0 -1 4
-2 1 1 1 -2 -1 1 2 0 2 1 1 1 -1 1 0 -1 1 0 -1 1 1 1 -1 0 -1 -1 -1 -1 0 4
-1 -1 1 1 1 0 -1 1 -1 0 1 2 1 -1 1 1 -1 2 -1 -1 1 1 -1 -1 1 0 1 -1 1 0 1 4
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DET公司
1
-
最小_形式
4
-
MINVECS公司
-
亲吻_编号
146880
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密度
-
HERMITE_NUMBER公司
4
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组订单(_O)
2^31 * 3^5 * 5^2 * 7 * 17 * 31
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发电机组
4
32 32
1 2 2 -1 0 -1 0 0 -2 -1 -1 1 1 0 -1 -2 1 -1 -1 1 0 0 0 0 -1 0 0 -1 0 0 0 1
0 0 0 0 0 0 0 2 0 -1 0 0 0 -1 0 0 -1 0 -1 1 0 -1 0 0 1 0 0 1 0 0 0 -1
0 0 -1 0 1 0 1 1 0 0 1 1 0 0 0 0 -1 0 0 0 -1 -1 -1 1 0 -1 0 0 -1 0 0 0
0 -2 -1 2 -2 3 -2 -1 2 1 1 -2 -1 0 2 2 -1 2 2 -2 1 1 1 0 1 0 -1 1 0 -1 -1 -1
-3 -1 -1 -1 0 -1 1 0 -1 0 0 1 0 0 -1 0 0 -1 0 1 -1 -1 -1 0 0 0 1 -1 0 0 0 0
0 1 1-1-1 1 0-3-1-1 1 1-1-1 0-1 1-1 1-1 0-1 0 1-1 0 0
2 1 -1 1 -3 1 -1 0 -1 -1 2 0 1 0 2 1 0 1 0 -1 0 -1 0 1 1 0 0 0 0 0 -1 -1
-1 -1 1 -1 4 0 3 0 1 1 -3 -1 1 -1 -1 0 0 -1 0 0 -1 1 0 -1 -2 0 0 0 0 1 1 1
2 2 2 0 0 1 -2 2 0 -1 0 0 0 0 0 -2 -1 0 -1 1 1 0 0 1 1 0 -1 1 -1 -1 0 0
4 1 1 2 -1 -1 -1 -4 1 2 0 -2 -1 1 1 1 2 2 1 -2 1 2 1 -1 -1 1 0 0 1 2 1 1
1 -1 -2 2 -2 1 -2 -2 2 1 3 -1 -2 1 2 2 0 2 2 -2 1 1 0 0 1 0 0 1 0 0 0 -1
0 0 -1 0 4 -1 2 -1 2 3 0 -1 0 1 0 1 0 0 1 -1 -1 1 -1 -1 -1 0 0 -1 1 1 1 0
0 -1 -1 1 1 0 0 -1 2 2 1 -1 -1 1 1 1 0 1 2 -1 0 1 0 0 0 0 0 0 0 0 0 0
-1 0 1 -1 -2 -1 1 2 -3 -2 -1 2 1 -1 -1 -1 0 -1 -2 2 -1 -2 0 1 0 0 1 0 -1 0 -1 0
0 -2 -2 2 -1 1 -1 -2 3 2 1 -2 -1 1 2 3 1 2 1 -2 1 1 1 -1 1 1 0 1 1 0 0 -1
-1 0 0 -1 2 -1 2 2 -1 -1 -1 2 0 -1 -2 -1 -1 -1 -1 1 -1 -1 -1 0 -1 -1 0 0 -1 0 0 0
0 2 2 -2 2 -2 2 1 -2 -1 -2 1 1 -1 -2 -2 0 -2 -2 2 -1 -1 -1 0 -1 0 1 -1 0 1 1 1
-4 -1 -1 -3 5 -1 5 1 -1 1 -2 1 2 -1 -2 -1 -1 -3 0 1 -3 -1 -2 0 -2 -1 1 -2 0 1 1 1
0 2 2 -2 4 -3 4 3 -2 -1 -2 2 2 -1 -2 -2 0 -3 -2 3 -2 -2 -1 0 -1 0 1 -1 0 1 1 1
5 2 1 3 -5 0 -3 -1 -1 -1 2 0 -1 0 2 1 1 2 0 -1 2 0 1 0 1 1 0 1 0 0 -1 -1
0 -1 -1 1 -2 0 0 -2 0 1 0 -1 0 0 1 2 1 1 1 -1 0 0 0 0 0 1 1 0 0 1 0 0
1 -2 -3 3 -1 3 -2 -2 4 2 3 -3 -1 1 4 4 0 3 3 -4 1 2 1 -1 1 0 -1 1 1 -1 -1 -2
0 0 -1 1 -1 -1 -1 0 1 0 1 0 -1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 -1
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0 1 -1 -1 3 -1 3 1 -1 0 0 1 2 0 0 0 0 -1 0 0 -2 -1 -1 0 -1 -1 0 -2 0 0 0 0
0 0 -1 1 -2 0 -2 -2 1 1 2 -1 -1 2 1 1 1 1 1 -1 1 1 0 0 1 1 0 0 1 0 0 0
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0 0 0 0 0 -2 1 0 -1 0 1 1 0 0 0 0 1 -1 0 1 -1 -1 0 0 0 0 1 -1 1 1 0 0
-2 0 0-2 4 0 3 2-1 0-1 1 2-1-1-1-2 0 1-2-1 0-1 0-1 0-2 0 0 0 0
1 0 0 1-2-1 0-1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0
-1 -1 -1 0 3 0 2 -1 2 2 -1 -1 0 0 0 1 0 0 1 -1 -1 1 0 -1 -1 0 0 0 1 1 1 0
-4 -3 -1 -2 5 1 4 1 1 1 -2 0 1 -1 -1 0 -1 -2 1 0 -2 0 -1 -1 -2 -1 0 -1 0 0 1 0
32 32
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 0 0 0 0 0 0 0
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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 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 0 0 0 0 0 0 0
-5 -1 1 -4 1 0 2 2 -3 -2 -3 2 2 -1 -3 -3 -1 -3 -2 3 -2 -2 -2 1 -1 0 1 -1 -1 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 0 0 0 0 0
6 2 0 4 -3 0 -2 -1 1 0 3 -1 -1 1 3 3 1 3 1 -2 2 1 1 0 1 1 -1 1 0 0 -1 -1
-1 -1 -1 0 3 0 1 0 2 2 0 -1 -1 0 0 0 0 0 1 -1 0 1 1 -1 0 -1 0 0 1 0 0 0
7 3 1 4 -1 -2 -1 -3 1 2 2 -1 -1 1 2 2 2 2 1 -2 1 1 1 -1 0 1 0 0 1 2 0 0
-2 -2 -2 0 1 2 -1 1 3 1 1 -1 -1 0 1 1 -1 1 1 -1 1 1 1 0 1 -1 -1 1 0 -2 -1 -1
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
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 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 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 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
-6 -2 0 -4 3 0 3 1 -1 0 -3 1 1 -1 -3 -2 -1 -3 -1 2 -2 -1 -1 0 -1 -1 1 -1 0 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 0 0 0 0 0 0 0
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-1 1 -1 -1 2 -1 2 2 0 0 0 1 1 0 -1 0 -1 -1 -1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0
1 2 1 -1 1 -1 2 3 -2 -2 -1 2 2 -1 -1 -1 -1 -1 -2 2 -1 -2 -2 1 0 0 0 0 -2 0 0 0
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0 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
-1 1 1 -2 4 -1 2 0 0 1 -2 0 1 0 -2 -2 0 -2 -1 1 -1 0 -1 -1 -1 0 1 -1 1 1 2 1
-2 0 0 -2 -1 1 0 3 -2 -3 0 1 2 -1 0 -1 -1 -1 -1 2 -1 -2 -1 1 1 0 0 0 -1 -1 0 -1
2 1 2 0-1 0 1-2-1 1 1-1 0-1 0 0-1 1 0-1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
-1 -1 -3 1 1 0 1 1 2 1 2 0 -1 0 1 2 -1 1 1 -1 0 0 0 0 1 -1 0 1 0 -1 -1 -1
-3 -2 0 -2 3 0 3 -1 -1 1 -2 0 1 -1 -1 -1 0 -2 1 0 -2 0 0 -1 -2 -1 1 -2 1 1 1 1
32 32
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 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 0 0 0 0 0 0 0 0 0
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-3 0 -1 -1 0 -1 1 2 -1 -1 0 1 1 0 -1 0 0 -1 -1 2 -1 -2 -1 1 1 1 0 0 0 0 0 0
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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 0
1 1 0 0 0 -1 0 0 0 0 0 1 -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 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
3 2 0 1 2 -1 0 0 2 1 1 0 -1 1 0 1 0 1 0 -1 1 1 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
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3 2 0 1 0 -1 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
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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 -2 1 0 -1 2 -1 -1 0 0 -1 -1 0 -1 1 0 0 0 1 -1 0 1 1 0 -1 -1 0 0 0 0 0 0
0 -1 1 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 0 0 0
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0 0 0 0 1 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 0 0
3 0 1 1 1 1 -1 -1 2 1 0 -1 -1 0 1 0 0 1 1 -2 1 2 1 -1 -1 -1 -1 1 0 0 0 0
0 -1 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
-5 -1 -1 -3 3 -1 2 2 0 0 -2 1 0 -1 -2 -1 -1 -2 -1 2 -1 -1 -1 0 0 0 1 0 0 0 1 0
2 1 0 2-3-1-1-1 0 2 0 1 1 1 1 1 1 0 0-1 0 1 1 1 1 0 0 0
0 1 0 1-2 1 1 0 0 1 0 1 1-1 0 0-1 1 0-1 1 0-1 1 0 1 0-1 0 0 1
32 32
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 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 0 0 0 0 0 0 0 0 0
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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 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 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 0 0 0 0
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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 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 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 -1 0 0 1 0 0 0 1 1 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 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 0
1 1 0 0 -1 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 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 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 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
-2 -1 1 -1 1 1 0 1 0 0 -1 0 0 0 -1 -1 -1 -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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 -1 1 -1 1 0 -1 0 0 1 0 0 0 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
-1 -1 -1 0 0 1 0 -1 1 1 0 -1 0 0 1 1 0 1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0
3 1 -1 2 -1 -1 0 -1 0 0 2 0 0 1 1 1 1 1 0 -1 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 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 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 0 1 -1 -1 0 -1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 1 -1 0 1 0 0 1 0 0 0 0 -1 0 0 -1 1 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 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
-1 0 1 -1 1 0 1 2 -1 -1 -1 1 1 0 -1 -1 -1 -1 -1 1 -1 -1 -1 1 0 0 0 0 -1 0 0 0
-3 -2 -2 -1 2 1 1 -1 2 1 -1 -1 0 0 0 1 0 0 1 -1 0 1 0 -1 -1 0 0 0 1 0 1 0
2 0 1 2 -3 0 -2 -2 0 1 1 -1 -1 1 1 1 1 1 1 -1 1 1 1 0 0 1 0 0 1 1 0 0
1 0 0 1 0 1 -1 2 1 -1 1 0 0 0 1 1 -1 1 0 0 1 0 0 0 1 0 -1 1 -1 -1 -1 -1
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学士_心理学
x^5544*1240(73440x)
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属性
单模块=1
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参考文献
H.Koch、B.B.Venkov、,
\“Uber ganzzahlige unimodulare euklidische记事本。
期刊f“ur die reine und angewandte Mathematik 398(1989),144-168
H.Koch,B.B.Venkov,“Uber gerade unimodulare”
Gitter der Dimension 32,III型
马塞姆。纳克里斯。152 (1991), 191-213
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笔记
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最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布