格子2.Alt7SS3.2
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:2014年7月18日星期五13:14:59 CEST
索引文件|缩写
此文件的内容
名称
尺寸
GRAM(浮点或整数GRAM矩阵)
最小_形式
组订单(_O)
发电机组
属性
参考文献
笔记
URL(指向此晶格的其他站点的链接)
最后一行
-
名称
2.备选方案7S3.2
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尺寸
40
-
GRAM(浮点或整数GRAM矩阵)
40 0
12
2 12
-2 2 12
3 1 2 12
3 2 1 3 12
2 3 3 6 3 12
2 4 3 2 2 0 12
2 3 0 5 -1 4 0 12
3 1 3 6 0 2 6 6 12
6 3 -1 1 1 2 3 3 0 12
3 -1 0 1 0 -1 0 3 3 3 12
1 2 1 6 3 6 1 6 4 3 3 12
-2 2 3 4 3 3 0 2 1 -1 4 2 12
2 2 0 2 0 1 1 2 2 -1 3 0 6 12
2 4 6 2 1 3 1 2 2 0 1 1 3 3 12
6 1 2 4 3 2 1 1 3 3 6 3 1 3 4 12
4 3-2 3 2-2 3 3-3 3 3 5 6 12
0 1 3 1 1 2 -1 3 2 -2 4 3 0 0 2 3 0 12
-2 1 6 1 1 2 3 3 3 -2 0 3 1 1 2 2 2 6 12
2 2 4 1 0 2 0 1 2 0 3 0 2 3 6 6 6 3 2 12
3 1 3 2 2 3 2 4 1 4 0 1 2 0 3 4 1 12
0 3 -1 1 3 2 1 3 1 4 -1 3 0 2 1 0 0 2 1 3 2 12
-2 1 0 3 1 0 3 3 3 0 3 3 3 1 0 -1 -1 5 3 -1 3 4 12
3 2 4 5 3 4 2 2 3 3 3 6 2 3 5 6 3 3 4 3 4 3 1 12
-1 1 -1 -3 1 -1 1 -2 0 -1 -1 -2 -1 0 -2 0 1 -1 -2 -1 -4 0 -3 -3 12
0 3 2 1 1 1 1 2 2 2 -1 1 2 1 3 -2 -1 0 1 0 3 4 2 -1 -1 12
0 2 -2 0 -6 0 -1 2 0 1 -3 0 -3 0 1 0 -3 -2 -2 0 -1 0 -2 -3 1 1 12
-1 0 -2 0 -6 -3 0 2 1 1 -2 0 -4 -2 -2 -3 -6 0 0 -3 0 0 0 -3 1 1 6 12
3 1 1 3 3 3 2 4 4 2 5 3 2 2 1 6 3 6 3 3 2 3 3 3 -2 1 -3 -3 12
-2 -2 0 -1 -5 -2 -2 1 0 -2 -2 0 -3 -3 1 -3 -3 0 2 0 0 -1 1 -3 -3 2 4 6 -3 12
5 3 -1 1 2 1 -1 4 -2 6 3 1 2 2 0 2 3 1 0 1 1 1 -1 1 -2 0 -1 1 1 -2 12
-1 -2 -2 0 0 0 -2 -2 -3 2 0 0 1 1 1 1 1 -3 -3 1 -2 1 -1 -1 2 0 3 0 -3 1 -1 12
1 -6 0 -2 1 -4 -3 -3 0 -3 0 -3 -2 1 -2 2 -1 0 0 -1 1 -3 -3 -2 2 -2 1 1 -1 2 -1 2 12
3 -2 -3 1 -1 1 1 -1 -1 1 -2 -2 -4 -2 -3 0 1 -3 -1 -1 0 -2 0 -3 -2 -3 2 2 0 4 0 1 1 12
0 -1 -3 -2 -1 -1 -1 0 -1 2 -1 0 -4 -2 -3 -2 -2 0 -2 -2 -3 3 -2 -1 6 0 2 2 -2 1 1 3 0 0 12
0 -1 0 1 0 1 1 -1 2 -1 -1 1 1 -1 -2 -2 -1 -3 0 0 0 -1 -1 -1 2 0 0 1 -2 2 -3 1 1 3 0 12
2 -1 -4 1 0 -2 0 1 2 0 1 1 -2 1 -3 1 -1 -1 -1 0 -1 2 1 -1 1 -1 0 1 1 1 1 1 2 3 2 6 12
-2-2 0-1 1 1 0-3-1-3 0-1 1-2-1-2 0-1 1-3-2 0 1 0 0-2 1 3 1 4 3 12
0 -2 0 -1 0 -1 -1 1 1 -2 1 -1 2 1 -1 -1 1 0 3 0 0 -2 1 -2 1 3 0 -1 -1 1 0 -1 2 0 0 6 3 2 12
1 -3 1 1 0 -2 0 2 1 2 2 1 0 0 -1 2 0 1 1 1 2 0 2 1 -2 -3 0 1 1 1 3 1 4 2 -1 3 3 0 3 12
-
最小_形式
12
-
组订单(_O)
2^6 * 3^3 * 5 * 7
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发电机组
5
40
-1 0 -2 -1 3 0 -2 0 3 5 -2 1 3 1 -1 -1 3 4 1 2 -2 -4 -1 -1 -3 2 0 2 -4 -2 -5 -2 0 1 2 -2 2 1 -2 2
2 0 1 -2 1 2 0 1 -2 -2 1 -3 0 -1 -1 0 -4 -4 1 2 1 -2 3 3 2 0 1 0 2 1 1 1 -1 -1 0 -1 1 0 0 0
1 1 0 1 -1 0 0 -1 -1 -1 2 -1 0 -1 1 -2 -2 -2 1 0 1 1 0 1 2 -1 0 -1 2 1 1 1 0 0 -1 -1 0 0 1 0
-4 0 -2 2 1 -3 -1 0 4 6 -3 4 2 2 0 -1 7 8 -2 -1 -2 -1 -5 -3 -4 1 -1 1 -5 -2 -5 -2 1 2 1 -1 1 0 0 1
-3 0 -1 1 0 -2 0 1 2 2 -2 3 1 1 0 0 5 5 -2 -1 -1 0 -3 -2 -3 1 -1 1 -3 -2 -2 -1 1 2 1 0 0 0 0 0
-4 0 -2 1 2 -3 -3 -1 6 7 -3 3 2 2 0 -2 6 7 -1 0 -2 -3 -3 -2 -3 1 0 1 -4 -2 -4 -2 0 2 1 -1 1 1 -1 1
-3 0 -1 3 -2 -4 1 1 1 2 -3 5 1 1 1 1 6 6 -3 -2 0 2 -4 -4 -3 0 -2 0 -3 -2 -2 -1 2 2 1 1 -1 -1 1 -1
5 1 2 -2 -2 5 3 1 -7 -7 4 -5 -1 -3 0 2 -9 -9 2 1 2 1 4 3 3 -1 0 -1 5 2 3 2 0 -3 0 0 0 -1 1 0
1 1 0 0 -2 1 2 1 -3 -1 0 0 1 -1 1 2 -2 -1 0 0 0 1 0 -1 -1 0 -2 0 0 -1 -1 0 2 0 1 0 0 -1 1 0
2 0 1 -1 0 1 1 1 -2 -3 1 -1 0 -1 -1 1 -2 -2 0 0 1 0 1 1 1 0 0 0 1 1 1 1 -1 -1 0 0 0 0 0 0
-6 0 -4 4 2 -5 -3 -2 7 10 -4 7 2 4 1 -3 11 11 -1 -1 -3 -2 -6 -6 -6 1 -1 2 -7 -4 -7 -4 2 3 2 -1 1 0 -1 1
-3 0 -1 2 1 -3 -2 -1 4 4 -2 3 0 2 0 -2 5 5 -1 -1 -1 -1 -3 -2 -2 0 0 0 -2 -1 -2 -1 0 1 0 0 0 0 0 0
-9-1-4 2-7-2 1 8 12-7 9 3 5 0-1 16-5-2-4-2-8-7-9 2-2 3-10-5-9-5 3 3 0 1 0-1 0
-7 -1 -4 2 4 -4 -3 0 7 13 -6 6 3 5 0 -2 11 12 -2 1 -4 -5 -5 -5 -7 2 -1 3 -8 -4 -9 -5 2 3 3 -1 2 0 -2 1
2 1 0 -1 -1 2 1 1 -3 -3 2 -2 0 -2 0 0 -3 -4 1 1 1 0 2 2 1 0 0 0 2 0 1 1 1 -1 0 0 0 0 0 0
-3 0 -2 1 2 -2 -2 -1 4 6 -2 3 2 2 0 -2 5 6 0 0 -2 -2 -3 -2 -3 1 0 1 -4 -2 -4 -2 1 2 1 -1 1 0 -1 1
-7-1-4 3-6-4-1 9 11-5 7 3 4 0-3 13 13-2-1-3-3-6-5-6 2 0 2-8-4-7-4 1 4 2-1 1 1-2 1
2 1 0 0 0 2 -1 -2 -1 -2 3 -3 -1 -1 1 -2 -5 -5 3 1 1 0 2 2 3 -1 1 -1 3 1 2 1 -1 -1 -1 -1 0 0 0 1
4 1 2 0 -4 3 3 0 -6 -8 4 -4 -2 -3 1 1 -8 -8 1 -1 3 4 3 3 5 -2 0 -3 6 3 6 3 0 -2 -2 1 -2 -1 2 -1
-7 0 -4 4 2 -5 -4 -2 8 11 -4 7 2 4 1 -3 12 11 -1 -1 -3 -2 -6 -6 -6 1 -1 2 -7 -4 -7 -4 2 3 2 -1 1 0 -1 1
6 1 2 -3 -2 5 2 0 -6 -7 4 -6 0 -4 0 1 -12 -10 3 2 2 1 5 5 6 -1 0 -2 6 3 5 3 -1 -2 -2 -1 0 0 1 0
-1 0 0 0 1 0 -1 0 1 1 0 0 -1 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
-5 -1 -2 4 1 -5 -2 -1 5 6 -3 5 0 3 1 -2 8 8 -2 -2 -1 0 -5 -4 -3 0 0 0 -4 -2 -3 -2 0 2 0 0 0 0 0 0
-5 0 -3 3 2 -5 -4 -2 8 8 -3 5 1 3 0 -4 9 9 -1 -1 -2 -2 -5 -3 -3 1 0 0 -5 -2 -4 -2 0 3 0 -1 0 1 -1 1
1 0 1 -2 1 1 0 1 -1 -1 0 -1 0 0 0 1 -2 -2 0 1 0 -1 2 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0
8 1 4 -5 -3 8 6 4 -12 -12 5 -8 -1 -5 -1 5 -14 -13 1 2 3 2 7 6 5 -1 -1 0 7 3 5 4 0 -4 -1 0 0 -1 2 -1
4 0 3 -3 -1 4 3 2 -6 -6 2 -4 -1 -2 -1 3 -7 -7 0 1 2 1 4 3 2 -1 0 0 4 2 3 2 0 -3 0 1 0 -1 1 -1
10 1 5 -5 -4 8 6 3 -12 -15 6 -9 -2 -6 -1 5 -16 -16 2 1 4 4 8 7 7 -2 0 -2 9 5 8 5 -1 -5 -2 1 -1 -1 2 -1
-3 0 -2 1 2 -2 -2 -1 4 6 -2 2 2 2 0 -1 4 6 0 0 -2 -2 -3 -2 -3 1 0 1 -4 -2 -4 -2 0 2 1 -1 1 0 -1 1
9 1 4 -4 -4 8 5 1 -11 -14 7 -9 -3 -6 0 3 -16 -16 3 1 4 4 8 7 8 -2 1 -3 10 5 9 5 -1 -5 -3 1 -1 -1 2 -1
2 0 0 -1 0 2 1 1 -2 -2 1 -1 1 -1 -1 0 -1 -2 1 1 0 -1 1 1 0 1 0 1 0 0 -1 0 0 -1 1 -1 1 0 -1 1
-3 -1 0 1 0 -2 1 2 0 1 -2 3 -1 2 0 2 5 4 -3 -2 0 1 -2 -3 -3 0 -1 1 -2 -1 -1 -1 1 0 1 3 -1 -1 0 -1
7 1 3 -4 -2 7 4 1 -9 -9 5 -7 -1 -4 0 2 -13 -12 3 2 2 2 6 5 5 -1 0 -1 7 3 5 3 0 -3 -1 0 0 -1 1 0
-3-1-2 1 2-3-2 6 7-3 2 0-2 5 7 0-2-2-3-2-2 1 0-4-1-3-2-1 2 0-1 1 1 1 1
1 0 1 -1 0 1 0 0 -1 -3 1 -1 -2 0 0 1 -2 -3 0 0 1 0 2 1 1 0 0 0 2 1 2 1 -1 -1 0 1 -1 0 0 0
-8 -1 -4 3 3 -7 -4 -1 10 13 -7 8 3 5 0 -2 14 15 -3 -1 -4 -3 -7 -6 -7 2 -1 2 -9 -4 -8 -5 1 4 2 -1 1 1 -1 1
-3 -1 -3 0 4 -2 -4 -2 6 9 -3 2 2 3 0 -3 4 6 2 2 -3 -5 -2 -1 -2 2 1 1 -4 -2 -5 -3 -1 2 1 -2 2 1 -2 2
-3 0 -1 1 1 -2 -1 -1 3 4 -2 2 0 2 0 -1 3 4 -1 0 -1 -1 -2 -1 -1 0 0 0 -1 0 -1 -1 0 1 0 0 0 0 0 0
-5 -1 -2 2 0 -4 0 1 4 6 -5 6 2 3 0 1 10 10 -4 -2 -2 0 -5 -5 -6 1 -2 2 -6 -3 -5 -3 2 2 2 0 0 0 0 0
-4 -1 -2 2 2 -4 -2 -1 5 7 -3 5 2 3 0 -2 8 8 -1 -1 -2 -1 -5 -4 -4 1 0 1 -5 -2 -5 -3 0 2 1 -1 1 0 -1 1
40
0 0 0 -1 1 1 0 1 0 0 0 -1 0 0 -1 1 0 -1 0 1 0 -1 1 0 -1 0 0 1 0 0 -1 0 0 -1 1 0 0 0 0 0
2 0 1 -2 1 2 0 1 -1 -2 1 -3 0 -1 -1 1 -3 -3 1 1 0 -1 3 2 1 0 1 0 1 1 1 1 -1 -1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 0 -2 -1 2 2 0 -1 0 1 -1 -2 0 0 1 1 0 -2 0 1 1 0 1 0 0 1 -1 0 -2 0 0 -2 1 1 0 1
-4 -1 -1 2 2 -3 -1 1 3 4 -2 3 0 3 -1 0 7 6 -2 -1 -1 -1 -3 -3 -3 1 0 1 -4 -1 -3 -2 0 1 1 1 0 0 -1 0
2 0 1 -2 0 2 1 2 -2 -3 1 -3 0 -1 -1 2 -3 -3 0 0 1 0 2 2 1 0 0 0 1 1 1 1 -1 -1 0 0 0 1 0 0
8 1 4 -4 -3 7 5 3 -11 -12 5 -8 -2 -5 -1 4 -14 -14 2 2 3 2 8 6 6 -1 0 -2 8 4 7 4 0 -4 -1 1 -1 -1 1 -1
3 0 1 -3 2 3 -1 0 -1 -1 1 -4 1 -1 -1 0 -5 -4 2 2 0 -2 3 3 2 0 1 1 2 1 0 1 -2 -1 0 -2 1 1 0 1
7 1 3 -4 -1 6 2 1 -7 -8 4 -7 -1 -4 -1 1 -12 -12 3 3 2 0 7 6 6 -1 1 -1 7 3 5 3 -1 -3 -1 -1 0 0 1 0
4 0 2 -4 0 4 2 2 -4 -5 2 -5 0 -2 -1 3 -7 -6 1 1 1 0 4 3 2 0 0 0 3 2 2 2 -1 -2 0 0 0 0 0 0
-7-1-3 3 3-7-5-2 10 11-6 7 1 5 0-3 12-2-1-3-3-5-5 1 0 1-6-3-5-3 0 1 0 1-1 0
-6 -2 -2 1 5 -6 -5 0 10 10 -6 5 2 5 -2 -2 12 12 -3 -1 -3 -4 -5 -3 -5 2 1 2 -7 -2 -6 -3 -2 3 1 -1 1 2 -2 1
-1 0 1 1 0 -1 0 0 0 -1 0 0 -2 1 0 0 0 0 -1 -1 1 1 0 0 1 -1 0 -1 1 1 2 1 -1 0 -1 1 -1 0 1 -1
4 1 3 -1 -3 4 3 1 -7 -9 4 -5 -4 -3 0 2 -9 -10 1 0 3 3 5 4 5 -2 0 -2 7 3 7 4 0 -3 -2 2 -2 -1 2 -2
-4-1-2 1 2-3-2 0 5 6-3 1 2 0-1 6-1 0-2-2-2-2-3 1 0 1-4-2-3-2 0 2 1 0 1-1 0
-5 -1 -2 2 2 -5 -3 0 7 7 -4 5 1 3 -1 -2 10 9 -2 -1 -2 -2 -4 -3 -4 1 0 1 -5 -2 -4 -2 0 2 1 0 0 1 -1 0
2 0 2 -1 -3 2 4 3 -6 -7 2 -2 -2 -2 0 4 -4 -5 -1 -1 2 3 3 1 1 -1 -1 -1 3 1 4 2 1 -2 0 3 -2 -1 1 -2
-10 -1 -6 5 6 -9 -9 -4 15 19 -7 9 3 7 1 -7 17 17 0 0 -5 -6 -8 -7 -7 2 1 2 -10 -5 -10 -6 0 5 2 -2 2 2 -3 2
0 0 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
-3 -1 -1 1 2 -3 -3 -1 5 5 -2 2 0 2 0 -2 4 4 0 0 -1 -2 -1 -1 -1 0 1 0 -2 -1 -1 -1 -1 1 0 0 0 1 -1 0
0 0 0 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 0 0 0 0 0
6 0 3 -4 0 6 1 0 -6 -7 5 -8 -2 -3 0 1 -13 -12 4 2 2 0 7 6 7 -1 2 -2 7 4 6 3 -2 -3 -2 0 0 0 0 0
2 0 1 0 1 1 -2 -2 -1 -1 2 -3 -2 0 1 -2 -5 -5 3 1 1 -1 3 2 4 -1 2 -2 4 2 3 1 -2 -1 -1 0 0 0 0 0
-3 -1 -1 0 2 -2 -2 0 4 4 -2 1 0 2 -1 -1 4 4 -1 0 -1 -2 -1 0 -1 1 1 0 -2 0 -1 -1 -1 1 0 0 0 1 -1 0
4 1 2 -1 -3 3 4 2 -7 -8 3 -2 -1 -3 0 2 -5 -7 0 0 2 3 3 2 2 -1 -1 0 4 1 3 2 2 -2 0 1 -1 -1 1 -1
2 0 1 -2 0 2 1 1 -2 -2 1 -2 0 -1 0 1 -4 -3 1 1 0 0 2 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0
0 0 0 0 -1 0 1 1 0 -1 -1 1 1 -1 0 1 2 1 -1 -1 0 1 -1 -1 -2 0 -1 1 -1 -1 -1 0 1 0 1 0 0 0 0 0
0 1 -1 0 0 0 -1 -1 1 3 -1 1 2 0 1 -1 0 1 1 1 -1 -1 -1 -1 -1 0 -1 1 -1 -1 -3 -1 1 1 1 -2 1 0 0 1
1 0 0 -2 2 1 -2 0 1 2 0 -2 1 0 -1 -1 -2 -1 2 2 -1 -3 2 2 1 1 1 0 0 0 -1 0 -1 0 0 -1 1 1 -1 1
-6 -1 -3 3 2 -5 -3 -1 7 10 -5 7 2 4 1 -2 11 11 -2 -1 -3 -2 -6 -6 -6 1 -1 2 -7 -4 -7 -4 1 3 2 -1 1 0 -1 1
-3 0 -1 1 1 -2 -1 0 3 4 -2 2 1 2 0 1 4 5 -1 -1 -1 0 -3 -3 -3 0 -1 1 -3 -1 -3 -1 0 1 1 0 0 0 0 0
-6-1-2 3 2-5-2 0 6 7-4 6 0-4 0-1 11 10-3-2-2-1-5-6 1-1 2-6-3-5-3 1 2 1 0-1 0
-7 0 -2 6 -2 -6 1 1 3 5 -4 9 0 3 1 0 14 11 -5 -4 -1 3 -8 -8 -7 0 -3 2 -6 -4 -5 -3 4 2 2 2 -1 -2 1 -1
5 1 2 -2 -2 5 3 1 -7 -7 4 -5 -1 -3 0 2 -9 -9 2 1 2 1 4 3 3 -1 0 -1 5 2 3 2 0 -3 0 0 0 -1 1 0
0 0 -1 -1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 -1 -1 0 0 -1 1 0 1 -1 -1 -2 -1 1 0 1 -1 1 0 -1 1
4 0 3 -3 -1 4 4 3 -7 -7 2 -4 -1 -2 -1 3 -7 -7 -1 1 2 1 4 3 2 -1 0 0 4 2 3 2 0 -3 0 1 0 -1 1 -1
4 0 3 -3 -1 4 3 2 -6 -6 2 -4 -1 -2 -1 3 -7 -7 0 1 1 1 4 3 2 -1 0 0 4 2 3 2 0 -3 0 1 0 -1 1 -1
0 0 1 1 -3 0 4 3 -4 -4 0 1 -1 -1 0 3 1 0 -3 -2 1 3 -1 -1 -1 0 -2 0 0 0 1 1 2 -1 0 2 -1 -1 1 -1
3 0 2 -2 -1 3 3 2 -6 -6 2 -3 -1 -2 0 2 -6 -6 0 1 2 1 3 2 2 -1 0 0 4 1 3 2 0 -2 0 1 0 -1 1 -1
-4 -1 -1 2 2 -3 -1 0 3 6 -3 3 1 3 0 -1 6 7 -2 -1 -1 -1 -4 -3 -3 0 0 1 -3 -1 -4 -2 0 1 1 0 1 -1 0 0
40
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 0 0
-7 -1 -3 5 2 -7 -3 -1 8 10 -5 9 1 5 0 -3 15 13 -3 -2 -3 -1 -7 -7 -7 1 -1 2 -8 -4 -7 -4 2 3 2 0 0 0 -1 0
7 1 3 -4 -1 6 2 0 -7 -8 5 -7 -1 -4 0 1 -13 -13 4 3 2 0 7 6 6 -1 1 -1 7 3 5 3 -1 -3 -1 -1 0 0 1 0
8 1 4 -3 -4 7 6 2 -12 -13 6 -7 -2 -5 0 4 -14 -14 2 1 4 4 6 5 6 -2 0 -2 8 4 7 4 0 -4 -1 1 -1 -2 2 -1
4 1 2 -1 -3 3 3 1 -6 -7 3 -3 -2 -3 0 1 -7 -8 1 1 2 2 4 3 4 -1 0 -2 5 2 5 2 1 -2 -1 1 -1 -1 1 -1
6 1 2 -2 -2 5 3 1 -8 -7 4 -5 -1 -3 0 2 -10 -10 3 2 2 1 5 3 4 -1 0 -1 5 2 3 2 0 -3 0 0 0 -1 1 0
8 1 4 -4 -2 7 3 0 -9 -11 6 -8 -3 -4 0 2 -15 -15 4 2 3 2 8 6 7 -2 1 -2 9 4 8 4 -1 -4 -2 1 -1 -1 1 -1
0 0 0 1 -1 0 2 1 -2 -1 0 1 0 0 0 1 1 1 -1 -1 0 2 -2 -1 -1 0 -1 0 -1 0 -1 0 1 0 0 0 0 -1 1 0
7 1 3-4-2 7 4 1-9 5-7-1-4 0 3-13-12 3 2 6 5-1 0-1 6 3 5 0-3 0-1 0-1 1 0
1 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
-2 0 -2 1 3 -2 -4 -3 6 7 -2 2 2 2 0 -4 4 5 1 1 -2 -3 -3 -1 -1 1 1 1 -3 -1 -4 -2 -1 2 0 -3 2 1 -1 2
5 1 2 -1 -2 4 3 1 -7 -7 4 -4 -1 -3 0 1 -8 -8 2 1 2 2 3 3 4 -1 0 -1 4 2 3 2 0 -2 -1 0 0 -1 1 0
-2 0-1 2-2-3-3 4 5-1 2 0 2 0-4 3 1 1 1-1-2-2-1 0 1 0-1 0-2 1 0 0 0 1
-2 0 -1 2 1 -2 -2 -2 4 4 -1 2 0 2 0 -2 4 4 0 -1 -1 0 -3 -2 -1 0 0 0 -2 0 -2 -1 -1 1 0 -1 0 0 0 1
0 0 1 1 -2 -1 2 2 -2 -1 -1 2 0 0 0 2 2 1 -2 -1 0 2 -1 -2 -2 0 -2 1 -1 -1 -1 0 2 0 1 1 -1 -1 1 -1
5 1 1 -2 -1 4 1 0 -4 -4 3 -4 1 -3 0 0 -7 -7 3 2 1 0 3 3 3 0 0 0 3 1 1 1 0 -1 0 -2 1 0 0 1
-2 0 -2 1 2 -3 -4 -2 6 7 -3 3 2 2 0 -3 5 5 1 1 -2 -3 -2 -2 -2 1 0 1 -3 -2 -4 -2 0 2 1 -2 1 1 -1 1
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 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
5 1 1 -2 -1 4 1 0 -4 -5 3 -4 0 -3 0 0 -7 -8 3 2 1 0 4 3 3 0 0 0 4 1 2 2 0 -2 0 -1 0 0 0 1
0 0 0 0 0 0 0 0 0 -1 0 0 -1 0 0 1 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 -1 0 0 0
4 1 2 -1 -4 3 4 2 -6 -9 3 -3 -2 -3 0 3 -6 -7 0 -1 2 4 3 2 3 -1 -1 -2 4 2 5 3 1 -2 -1 2 -2 -1 1 -1
0 0 1 0 -1 0 1 0 -1 -2 0 0 -1 0 0 1 -1 -1 -1 -1 1 2 0 0 1 -1 0 -1 1 1 2 1 0 0 -1 1 -1 -1 1 -1
1 0 1 -1 0 0 1 2 -1 -1 -1 0 1 0 -1 2 0 0 -1 0 0 0 0 0 -1 0 -1 1 -1 0 -1 0 0 0 1 0 0 0 0 0
1 1 0 0 -2 1 0 -1 -1 -1 1 0 0 -1 1 0 -2 -2 1 0 0 1 1 0 1 0 -1 -1 1 0 1 0 1 0 0 0 0 0 0 0
-4 0 -1 5 -2 -4 0 -1 2 2 -1 5 -2 2 2 -1 7 5 -2 -3 0 3 -4 -5 -2 -1 -1 -1 -2 -1 0 -1 2 1 0 2 -2 -1 1 -1
0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 -1 0 1 -1 -1 -1 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0
-7 -1 -3 4 1 -6 -2 -1 7 8 -4 7 1 4 1 -1 12 12 -3 -3 -2 0 -7 -6 -6 1 -1 1 -7 -3 -5 -3 1 3 1 1 0 0 -1 0
8 1 2 -4 0 7 1 -1 -7 -7 6 -9 -1 -4 0 -1 -15 -14 6 4 2 -1 7 7 8 -1 2 -2 8 4 5 3 -2 -3 -2 -2 1 0 0 1
-7-1-3 4 2-6-3-1 7 9-4 6 1 4 1-2 11-2-2-2-1-6-5-5 1 0 1-6-3-5-3 1 3 1 0 0-1 0
-7 -1 -3 5 1 -7 -2 -1 8 8 -5 8 1 4 0 -2 14 13 -4 -3 -2 0 -8 -6 -6 1 -1 1 -7 -3 -5 -3 1 3 1 0 0 0 0 0
1 0 0 0 -1 0 0 0 0 -1 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 0
-1 0 -1 -1 2 0 -2 -1 3 3 0 -1 1 0 0 -1 0 1 1 1 -1 -2 0 1 0 1 1 0 -1 0 -1 -1 -1 1 0 -1 1 1 -1 1
4 0 1 -2 0 3 0 -1 -3 -4 3 -5 -1 -2 0 0 -8 -7 3 1 2 0 4 4 5 -1 2 -2 5 3 4 2 -2 -2 -2 0 0 0 0 0
-1 0 0 1 -2 -1 1 1 0 -1 -1 1 0 0 0 2 2 2 -2 -2 0 2 -1 -1 -1 0 -1 -1 -1 0 1 0 1 0 0 2 -1 0 0 -1
3 0 0 -3 2 3 -2 -2 0 0 2 -4 0 -1 0 -2 -7 -5 4 3 0 -3 4 4 4 0 2 -1 3 2 2 1 -2 -1 -1 -1 1 1 -1 1
2 0 0 -2 -1 2 1 0 -1 -2 1 -2 1 -2 0 1 -4 -2 1 0 0 1 1 2 2 0 0 -1 1 1 2 1 0 0 -1 0 0 0 0 0
8 1 3 -4 -2 7 2 0 -8 -11 7 -9 -3 -5 0 1 -15 -15 5 2 3 1 8 7 8 -1 2 -3 9 4 8 4 -2 -4 -2 1 -1 0 0 0
-4 -1 -2 1 3 -3 -4 -2 7 8 -3 3 1 3 0 -3 6 7 0 0 -2 -3 -3 -2 -2 1 1 0 -4 -1 -3 -2 -1 2 0 -1 1 1 -1 1
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40
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0 0 1 0 -1 0 1 1 -1 -2 1 -1 -1 -1 0 1 -1 -1 -1 -1 1 2 0 1 1 -1 0 -1 1 1 2 1 0 0 -1 1 -1 0 1 -1
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3 1 0 -3 1 3 -1 -1 -1 -1 2 -4 1 -2 0 -1 -7 -5 3 3 0 -2 3 4 3 0 1 0 3 1 1 1 -1 0 -1 -2 1 1 0 1
40
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 0 0
8 2 3 -3 -3 7 3 -1 -9 -10 7 -8 -2 -5 1 1 -16 -15 5 2 3 2 7 6 8 -2 1 -3 9 4 7 4 -1 -3 -2 -1 0 -1 2 0
11 1 5 -6 -4 8 4 1 -11 -15 7 -10 -2 -7 0 3 -19 -18 4 2 4 3 10 9 10 -2 1 -3 11 5 10 6 -2 -4 -3 0 -1 0 2 -1
9 1 2 -6 0 8 1 -1 -6 -8 6 -10 0 -5 0 0 -17 -14 6 4 2 -1 8 8 8 -1 2 -2 8 4 6 4 -3 -3 -2 -2 1 1 0 1
5 0 1-4 1 4 0-1-2-4 3-6 1-3-1 0-9-7 3 2 1-1 4 6 5 0 2-1 4 3 2-3-1-2-2 1 0 1
11 2 3 -6 -3 10 4 0 -11 -13 8 -11 -1 -7 0 2 -20 -18 6 4 3 1 10 9 9 -1 1 -2 10 4 8 5 -1 -4 -2 -1 0 0 1 0
6 1 3 -2 -3 4 2 -1 -5 -9 5 -5 -2 -4 0 0 -10 -10 2 0 3 3 4 5 7 -2 1 -3 7 4 7 4 -2 -2 -3 -1 -1 0 2 0
0 1 0 1 -2 0 1 0 -1 -2 1 0 -1 -1 1 1 -1 -1 0 -1 1 2 0 -1 0 -1 -1 -1 1 0 2 1 1 0 0 1 -1 0 1 -1
6 1 3-3-3 4 3 1-6-9 4-5-1-4 0 2-10-9 1 0 3 4 5-2 0-2 6 3 4-1-2 0-1 0 2-1
0 0 0 1 0 0 0 0 0 0 1 0 -1 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
5 1 3 -1 -3 4 4 2 -8 -9 4 -4 -2 -3 0 3 -7 -8 0 -1 3 4 3 2 3 -2 -1 -1 5 3 4 3 0 -3 -1 1 -1 -1 2 -1
9 1 4 -4 -4 8 6 2 -12 -14 7 -9 -2 -6 0 4 -16 -15 3 1 4 4 7 6 7 -2 0 -2 9 4 8 5 -1 -4 -2 1 -1 -1 2 -1
7 1 2 -5 0 6 1 0 -5 -6 4 -7 1 -4 -1 1 -12 -10 4 3 1 -1 6 6 5 0 1 -1 5 3 3 3 -2 -2 -1 -2 1 1 0 1
1 0 0 -2 2 1 -1 0 1 1 0 -1 1 0 -1 0 -1 0 1 1 -1 -2 1 1 0 1 1 0 -1 0 -1 0 -1 0 0 -1 1 1 -1 1
5 1 2 -2 -4 4 4 1 -7 -8 3 -4 -1 -4 1 3 -9 -8 1 0 2 3 4 3 4 -1 -1 -2 5 2 5 3 1 -2 -1 1 -1 -1 2 -1
8 1 4 -3 -4 6 5 2 -10 -14 6 -7 -3 -5 0 4 -12 -13 1 -1 4 5 6 5 6 -2 0 -2 8 4 8 5 -1 -4 -2 2 -2 -1 2 -1
5 1 2 -1 -2 3 1 -1 -4 -7 4 -4 -2 -3 0 0 -7 -8 2 0 2 2 4 4 5 -1 1 -2 5 3 5 3 -1 -2 -2 0 -1 0 1 0
5 1 3 -2 -2 4 3 1 -7 -9 4 -5 -2 -3 0 3 -9 -9 1 0 3 3 4 3 4 -2 0 -1 6 3 5 3 -1 -3 -1 1 -1 -1 2 -1
7 1 4 -2 -4 4 3 0 -7 -13 6 -6 -3 -5 0 2 -11 -12 2 -1 4 5 5 5 7 -2 1 -3 8 4 9 5 -2 -3 -3 1 -2 0 2 -1
8 1 4 -3 -3 6 4 1 -10 -13 6 -7 -3 -5 0 2 -13 -14 2 1 4 3 7 6 7 -2 1 -2 9 4 8 5 -1 -4 -2 1 -1 -1 2 -1
7 0 4 -4 -2 5 4 2 -8 -11 5 -7 -2 -4 -1 3 -12 -11 1 1 3 2 6 6 6 -1 1 -2 7 4 7 4 -2 -3 -2 1 -1 0 1 -1
-4 -1 -2 1 5 -3 -4 -2 7 8 -2 2 1 3 -1 -4 6 7 0 1 -2 -4 -3 -1 -2 1 2 1 -4 -1 -4 -2 -2 2 0 -2 2 1 -1 1
0 0 0 0 3 0 -3 -3 3 3 1 -2 0 1 0 -3 -2 0 2 1 0 -2 0 1 2 -1 2 -1 1 2 0 0 -3 0 -1 -2 1 1 0 1
13 1 6 -7 -4 11 7 3 -15 -19 9 -13 -3 -8 -1 5 -22 -21 4 2 5 4 11 10 10 -2 1 -3 12 6 11 7 -2 -6 -3 1 -1 -1 2 -1
-3 0 -1 1 1 -2 -2 -1 4 4 -2 3 0 2 0 -1 5 4 -1 -1 -1 -1 -2 -2 -2 0 0 1 -2 -1 -2 -1 0 1 0 0 0 0 0 0
0 0-1-1 2 0-2-1 2 4 0-1 2 0-2-1 2-1-3 0 1 1 1 0-1 0-2-1 1 0-2 1-1
-4 0 -1 3 -1 -3 0 0 2 3 -2 4 -1 2 1 0 6 5 -2 -2 -1 1 -3 -4 -3 0 -1 0 -2 -2 -1 -1 2 1 1 2 -1 -1 0 -1
-3 0 -1 2 1 -2 -2 -1 3 4 -1 2 -1 2 1 -2 3 3 0 0 -1 -1 -2 -2 -1 0 0 0 -1 -1 -1 -1 0 1 0 0 0 0 0 0
3 1 1 -1 -1 2 1 0 -3 -5 3 -3 -1 -2 0 1 -5 -5 1 0 2 2 2 2 3 -1 0 -1 3 2 3 2 -1 -1 -1 0 -1 0 1 0
-2 0 -1 2 0 -2 -1 -1 2 3 -1 2 0 1 1 -2 3 3 0 0 -1 0 -2 -2 -1 0 0 0 -1 -1 -1 -1 1 1 0 0 0 0 0 0
-3 0 -2 2 2 -3 -3 -1 5 6 -2 3 1 2 0 -2 6 6 0 0 -2 -2 -3 -2 -3 1 0 1 -4 -2 -4 -2 0 2 1 -1 1 1 -1 1
-4 -1 -2 2 1 -3 -1 0 4 5 -3 4 1 2 0 -1 8 7 -2 -1 -2 -1 -3 -3 -4 1 0 1 -4 -2 -3 -2 1 1 1 1 0 0 -1 0
-6 -2 -2 1 3 -6 -3 1 8 8 -6 6 2 4 -1 0 12 12 -4 -2 -3 -2 -5 -4 -6 2 0 2 -7 -3 -5 -3 0 3 1 1 0 1 -2 0
-2 0 -2 2 2 -2 -4 -4 5 5 0 1 -1 2 1 -5 2 2 2 1 -1 -2 -1 0 1 0 2 -1 0 0 0 -1 -1 1 -1 -1 0 1 -1 1
-10 -1 -4 5 3 -8 -4 -1 11 14 -7 10 2 6 0 -3 18 17 -4 -2 -4 -2 -9 -8 -9 1 -1 3 -10 -5 -9 -5 2 4 2 0 1 0 -1 0
3 0 0 -2 2 2 -2 -2 0 0 2 -3 0 -1 0 -3 -5 -5 4 3 0 -3 3 3 3 0 2 0 3 1 1 1 -2 -1 -1 -2 1 1 -1 1
-11 -2 -6 5 7 -10 -8 -3 16 19 -8 10 3 8 0 -6 20 20 -2 -1 -5 -6 -10 -8 -9 2 1 3 -12 -5 -11 -6 -1 5 2 -2 2 2 -3 2
-5 -1 -3 1 3 -4 -3 -1 7 8 -4 5 2 3 0 -2 9 9 -1 0 -3 -3 -4 -3 -4 2 0 2 -6 -3 -5 -3 0 3 1 -1 1 1 -2 1
0 0 0 0 1 -1 -2 -1 2 1 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 1 -1 0
-3 -1 -1 2 2 -4 -3 -1 5 4 -2 3 -1 2 0 -2 6 5 -1 -1 -1 -1 -2 -2 -2 0 1 0 -2 -1 -1 -1 -1 1 0 1 -1 1 -1 0
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属性
积分=1
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参考文献
G.Nebe,有限四元数矩阵群,
表征理论2106-223(1998年4月)
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笔记
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URL(指向此晶格的其他站点的链接)
所有四元数矩阵群
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最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布