格子M23
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公司)和
尼尔·J·A·斯隆(njasloane@gmail.com)
上次修改时间:2019年5月17日星期五15:11:42 CEST
索引文件|缩写
此文件的内容
名称
尺寸
DET公司
最小_形式
亲吻_编号
格拉姆
组订单(_O)
组_名称
发电机组
属性
笔记
参考文献
最后一行
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名称
M23型
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尺寸
23
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DET公司
6
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最小_形式
4
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亲吻_编号
75900
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格拉姆
23 23
4 2 1 -2 1 -2 -1 -2 -2 2 -1 -2 1 0 -1 -1 1 -2 -1 -2 -1 -2 -2
2 4 2 0 2 -2 -1 0 -2 2 0 -2 -1 -1 1 1 -1 -2 1 0 -1 0 0
1 2 4 0 2 0 -2 1 -2 1 1 -2 0 1 1 1 -2 -2 -1 -1 -2 -1 1
-2 0 0 4 0 0 -1 2 2 -2 0 2 0 -1 2 1 -1 0 1 2 1 2 2
1 2 2 0 4 -1 0 0 -2 1 -1 -2 -1 -1 2 2 -2 -1 0 -1 0 0 0
-2 -2 0 0 -1 4 1 0 1 -2 2 1 1 2 -1 1 0 1 -1 1 -1 0 1
-1 -1 -2 -1 0 1 4 -1 0 -1 -1 0 0 0 -1 1 1 1 0 1 1 0 0
-2 0 1 2 0 0 -1 4 1 0 1 1 -1 -1 2 1 -2 1 0 1 1 2 1
-2 -2 -2 2 -2 1 0 1 4 -2 1 2 0 -1 0 -1 0 2 0 1 1 2 1
2 2 1 -2 1 -2 -1 0 -2 4 0 -2 -1 -1 0 -1 -1 -1 0 -1 0 -1 -2
-1 0 1 0 -1 2 -1 1 1 0 4 0 0 1 0 0 -1 0 0 0 -1 0 1
-2 -2 -2 2 -2 1 0 1 2 -2 0 4 1 0 0 0 1 1 1 2 1 1 0
1 -1 0 0 -1 1 0 -1 0 -1 0 1 4 1 -2 -1 2 -1 -2 0 -1 -2 0
0 -1 1 -1 -1 2 0 -1 -1 -1 1 0 1 4 -1 0 1 -1 -1 0 -1 -2 0
-1 1 1 2 2 -1 -1 2 0 0 0 0 -2 -1 4 2 -2 0 1 0 1 2 1
-1 1 1 1 2 1 1 1 -1 -1 0 0 -1 0 2 4 -1 0 1 1 0 1 1
1 -1 -2 -1 -2 0 1 -2 0 -1 -1 1 2 1 -2 -1 4 0 0 0 0 -1 -1
-2 -2 -2 0 -1 1 1 1 2 -1 0 1 -1 -1 0 0 0 4 0 0 1 2 0
-1 1 -1 1 0 -1 0 0 0 0 0 1 -2 -1 1 1 0 0 4 1 1 1 0
-2 0 -1 2 -1 1 1 1 1 -1 0 2 0 0 0 1 0 0 1 4 1 1 1
-1 -1 -2 1 0 -1 1 1 1 0 -1 1 -1 -1 1 0 0 1 1 1 4 1 -1
-2 0 -1 2 0 0 0 2 2 -1 0 1 -2 -2 2 1 -1 2 1 1 1 4 1
-2 0 1 2 0 1 0 1 1 -2 1 0 0 0 1 1 -1 0 0 1 -1 1 4
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组订单(_O)
991533312000=2^11 3^7 5^3 7 11 23
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组_名称
2.二氧化碳
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发电机组
三
23 23
2 -3 3 3 -1 -1 2 -2 -2 1 2 1 -2 -1 0 0 1 1 -1 1 0 1 0
1-2 2 3-1 0 1-2-2 1 1-2-1 0 0 1 1-1 0 0 0 0
-1 1 -2 0 0 0 -1 0 -1 -1 0 0 -1 0 0 0 0 0 -1 0 0 -1 0
-6 5 -1 -6 -1 0 -3 0 3 -2 -3 -1 3 0 1 1 -1 -1 0 -1 1 -1 -1
0 0 0 1 0 1 0 0 -1 0 0 0 -1 0 0 -1 1 0 0 0 0 0 0
3-2-2 2 0 1 2-1 1 1 0-1 1-1 0 1 0-1 0-1 0 1
4 -3 -1 3 2 1 1 2 -1 2 1 0 -1 1 -1 -1 1 0 1 0 -1 1 1
-3 3 -3 -3 0 0 -2 1 2 -1 -2 -1 2 1 0 1 -1 -1 0 -1 0 -1 0
-4 3 0 -6 -1 -1 -2 0 3 -2 -2 -1 4 0 1 1 -2 -1 1 0 1 0 -1
2 -2 2 4 -1 0 2 -2 -2 1 2 1 -2 -1 0 0 1 1 -1 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 -1 0
-2 2 -1 -3 0 0 -1 1 3 0 -2 -1 2 1 0 1 -1 -1 1 -1 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 1 -2 -1 1 0 -1 1 0 -1 0 0 -1 0 0 0 0 -1 -1 0 0 -1 0
-5 4 0 -3 -1 0 -2 -1 2 -1 -2 0 1 0 0 1 0 -1 -1 -1 1 -1 -1
2 -1 -1 3 1 1 1 1 -1 2 0 1 -2 1 -1 -1 1 0 0 -1 -1 0 1
1 -1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
-1 1 -1 -2 0 0 -1 1 1 -1 -1 -1 2 0 0 0 -1 -1 1 0 0 0 0
-1 1 1 0 0 1 0 -1 1 1 -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 0 0 0 0 0 -1 0 0 0
-3 2 0 -3 0 0 -1 0 2 -1 -1 -1 2 0 1 0 0 -1 0 0 0 0 -1
0 0 1 -1 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 1 0 0 0 0
-2 2 -2 -2 0 0 -2 1 0 -2 -1 -1 1 0 0 0 -1 0 0 0 0 -1 -1
23 23
4 -3 0 4 1 0 2 0 0 3 1 0 -1 2 -1 0 0 1 1 0 -1 1 1
2 -1 0 2 1 0 1 0 0 2 0 0 0 2 -1 0 0 1 1 0 0 1 1
1 0 1 0 0 0 0 -1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1
-3 3 -1 -5 -1 0 -2 1 1 -3 -2 -1 3 0 1 0 -2 -1 1 0 1 0 -1
0 1 -1 -2 1 1 -1 1 1 -1 -1 -1 1 1 1 -1 0 0 1 1 0 0 0
-2 2 -1 -3 -1 1 -2 0 0 -2 -1 0 0 -2 1 0 0 -1 -1 0 1 -1 0
1 -1 -1 1 1 0 0 1 -1 -1 1 -1 -1 -1 0 -1 1 0 0 1 -1 -1 0
-2 2 0 -3 -1 0 -1 0 0 -1 -1 0 2 0 1 0 -1 0 0 0 1 0 0
-2 1 -1 -2 -1 0 -1 1 0 -2 -1 -1 1 -1 1 0 -1 -1 0 0 0 -1 -1
2 -2 2 3 1 0 2 -1 0 3 1 1 -1 1 -1 0 1 1 0 0 0 1 1
-1 0 0 0 -1 0 -1 -1 -1 0 0 0 0 -1 0 1 0 0 -1 0 1 0 0
-5 5 -2 -6 -2 1 -3 1 2 -3 -3 -1 3 -1 1 1 -2 -2 0 -1 1 -1 -1
1 -1 0 0 -1 0 0 0 0 0 0 -1 1 0 0 0 -1 0 1 0 0 1 0
3-2 1 3 0 1-1-2 2-3-1-1 0 1 1-1 0 0 1
-4 4 -2 -5 0 1 -3 1 1 -3 -2 -1 2 0 1 0 -1 -1 0 0 1 -1 -1
-3 4 -3 -5 0 1 -3 1 1 -3 -2 -1 2 0 1 0 -1 -1 0 0 1 -1 0
1-1-1 3 0 1 0-1 1 1 0-1 0 0 0 0 0-1-1 0 0
-2 2 -2 -1 1 0 -1 1 1 0 -1 0 1 1 -1 1 0 -1 0 -1 0 0 0
-2 2 0 -3 -1 0 -1 0 0 -2 -1 0 1 -1 0 0 -1 -1 0 0 1 0 0
2 -2 0 1 1 0 1 1 -1 0 1 0 0 0 0 -1 0 0 1 1 -1 0 0
-4 3-2-4 0 0-2 1 1-2-1 2 0 1 0-1-1 0 0-1-1
-2 1 1 -1 -1 -1 -1 -1 -1 -2 0 0 0 -1 0 0 0 0 -1 0 1 0 -1
23 23
2 -1 2 0 0 0 1 -1 -1 -1 1 1 -1 -1 1 -1 0 1 0 1 0 0 0
6 -5 3 6 0 0 4 -1 -4 1 3 1 -3 -1 0 -2 1 2 0 1 -1 1 0
4 -3 2 3 0 1 2 0 -2 1 1 1 -2 -1 0 -1 1 1 0 0 0 0 1
1 -2 0 2 0 -1 1 0 0 2 0 0 0 1 -1 1 0 0 0 0 -1 1 0
5 -4 1 6 1 0 3 0 -3 2 2 1 -3 0 -1 -1 1 2 0 0 -1 0 1
-2 2 -2 -3 0 1 -2 2 2 -1 -2 -2 2 0 1 0 0 -1 1 0 0 -1 0
0 1 -1 1 1 1 0 1 0 0 0 0 -1 0 0 -1 1 0 0 0 0 -1 0
3 -3 0 4 1 0 2 1 -1 3 1 1 -2 1 -2 0 1 0 0 -1 -1 1 1
-1 0 -2 -1 1 -1 -1 1 2 1 -1 -1 2 2 -1 1 -1 -1 1 0 -1 1 0
2 -2 2 2 0 -1 2 -1 -2 0 2 1 -1 0 0 -1 0 1 0 0 0 1 0
3 -2 -1 1 1 1 1 2 0 1 0 -1 1 1 0 -1 0 0 2 0 -1 1 1
-5 3 -3 -5 0 -1 -3 1 3 -1 -2 -2 3 1 0 2 -1 -2 0 0 0 0 -1
-3 3 0 -5 0 0 -2 0 3 -1 -2 0 2 0 1 1 0 -1 0 0 1 0 0
-2 3 -1 -4 -1 2 -2 1 2 -2 -2 -1 1 -1 2 0 0 -1 0 0 1 -2 0
6 -6 1 8 1 -1 4 0 -3 4 3 1 -3 1 -2 0 1 2 0 0 -2 1 1
3 -2 0 4 0 1 2 1 -2 1 1 0 -2 -1 0 -1 1 1 0 0 -1 -1 0
-4 4 0 -4 -1 0 -2 -1 2 -2 -1 0 1 -1 1 1 0 -1 -1 0 1 -1 -1
-2 2 -3 -1 0 0 -2 1 1 0 -1 -1 1 1 -1 1 -1 -1 0 -1 0 0 0
-1 1 -1 0 -1 0 0 0 -1 -1 0 -1 1 0 0 0 -1 0 0 0 0 0 -1
-2 1 0 -1 -1 0 0 0 1 0 -1 -1 1 0 1 0 0 -1 0 0 0 0 -1
1 0 -2 2 1 0 1 1 0 2 0 1 -1 2 -1 0 0 0 0 -1 -1 0 1
3 -4 0 6 1 -1 2 0 -2 3 2 0 -2 1 -2 0 1 1 0 0 -2 1 0
3 -3 2 4 0 0 2 -1 -1 3 1 1 -1 0 -1 0 1 1 0 0 0 1 1
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属性
积分=1
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笔记
水蛭中范数6向量的正交
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参考文献
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最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布