格子SL2(19)SS3.2
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)和
尼尔·J·A·斯隆(njasloane@gmail.com)
上次修改时间:2014年7月18日星期五13:14:57 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)
除数(初等除数)
最小_形式
接吻次数
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
SL2(19)SS3.2
-
尺寸
40
-
GRAM(浮点或整数GRAM矩阵)
40 0
10
2 10
5 2 10
0 2 1 10
2 4 2 3 10
4 2 1 2 1 10
1 2 2 3 2 5 10
4 4 3 0 3 3 1 10
3 4 3 4 1 1 0 0 10
2 0 1 3 1 4 4 0 3 10
1 1 0 -1 0 -1 -1 -2 3 1 10
1 4 0 3 3 2 2 2 4 5 4 10
1 3 2 5 4 2 2 2 3 0 -4 0 10
3 1 4 3 2 2 0 2 2 0 -1 0 4 10
1 1 0 -1 -1 2 -1 1 0 -1 0 -1 0 4 10
-1 -1 0 1 0 -2 -2 -1 3 2 5 2 -2 1 0 10
3 1 3 2 3 0 4 0 2 3 1 3 2 4 1 -1 10
0 0 0 -4 1 2 2 2 -3 0 0 3 -3 -1 0 0 1 10
0 -1 0 -2 0 -2 -1 0 -2 -1 2 -1 -2 2 3 1 2 1 10
0 4 3 3 0 4 4 1 5 5 0 3 3 1 0 0 2 0 -2 10
3 1 2 4 1 2 2 1 3 3 1 4 0 1 -1 -1 4 -1 -1 1 10
3 4 5 0 5 0 2 3 4 3 1 3 1 1 1 2 3 3 0 4 0 10
1 3 -4 1 0 0 -2 -1 3 2 2 2 1 -2 -1 1 0 -3 0 0 -1 -1 10
0 3 1 2 3 1 4 5 0 4 -2 4 2 0 -1 -1 3 1 -1 2 2 3 1 10
0 0 0 4 1 0 2 -2 -2 0 -4 1 1 2 -1 -2 2 0 -2 -2 2 -2 0 1 10
1 2 -1 1 1 1 2 1 1 1 0 1 1 0 -1 0 1 0 0 1 1 1 1 1 0 10
2 0 2 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 1 3 10
0 2 -1 0 1 0 0 0 1 0 -1 1 2 -2 0 -2 0 0 -1 1 0 1 2 2 0 4 4 10
2 2 2 1 2 2 0 3 1 2 0 3 0 0 -2 0 0 2 0 2 3 2 0 1 0 3 3 2 10
0-1 0-2-4 1 0 0-1 0-2-1 0 2 0-1 1 0-1 0-2 1 3 2 2 10
0 -1 0 -1 -2 0 1 -1 0 1 1 0 -1 -1 1 -1 2 -1 2 0 3 -1 0 0 -1 4 4 2 3 3 10
1 2 2 -1 0 -1 0 3 0 -2 0 0 0 0 1 0 -1 1 0 0 -1 2 -2 0 -1 3 5 3 4 3 2 10
-1 1 -2 2 0 1 1 0 1 3 0 4 0 -1 0 0 1 2 -1 2 0 1 2 2 1 2 2 4 4 2 3 4 10
0 -1 0 -1 -3 0 -1 -1 0 -1 0 -2 0 0 1 0 -1 -1 1 0 1 -1 0 -2 -1 2 3 3 5 5 5 4 4 10
0 0 0 -1 -1 -1 -2 0 0 -1 2 0 -2 1 3 1 0 1 4 -1 -1 1 0 0 -2 4 4 3 2 5 4 4 3 3 10
0 1 0 -1 0 0 -1 0 -1 -1 -1 -2 1 1 3 1 0 -1 0 0 -1 0 0 -2 0 1 3 1 2 4 3 4 2 4 3 10
1 0 0 -2 0 -1 0 0 0 0 1 -1 -1 -3 -4 -1 0 -1 -1 0 -1 0 2 -1 -2 3 4 2 4 2 5 3 3 3 1 3 10
1 3 2 2 3 0 0 2 3 0 0 1 4 3 -1 0 2 -1 2 2 2 2 1 3 -1 4 2 4 4 3 3 2 2 3 4 2 2 10
1 0 1 0 0 0 0 0 0 0 0 1 0 2 0 0 2 1 0 0 0 0 0 0 2 3 5 5 3 0 2 4 4 3 2 0 2 1 10
3 1 1 1 0 1 1 2 0 1 0 1 0 1 0 0 1 0 0 0 2 1 1 2 2 1 4 2 4 2 4 3 3 3 2 2 4 3 2 10
-
除数(初等除数)
1^20 3^12(3*19)^8
-
最小_形式
10
-
亲吻_编号
4104
-
组订单(_O)
2^5 * 3^3 * 5 * 19
-
发电机组
5
40
-1 1 -1 -2 0 0 0 2 0 2 2 -3 3 -1 1 1 0 0 0 0 2 0 -1 -1 3 -1 0 0 0 0 -1 0 1 0 2 -2 2 0 0 -1
0 0 -1 -2 0 -1 0 1 1 1 3 -3 3 0 1 0 -2 1 1 1 2 0 -1 1 3 0 0 0 0 0 -1 -1 1 0 1 0 2 -1 0 -1
0 0 0 -2 1 -2 2 1 -1 1 -1 0 1 0 2 1 -1 0 -1 1 2 -1 1 -2 1 -1 0 0 0 0 -1 0 0 0 2 -2 2 1 0 -1
0 0 0 0 0 0 0 0 0 -1 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 -1 -1 -1 1 -1 1 1 0 3 -3 2 0 0 0 0 0 1 0 1 1 -1 1 3 0 0 1 1 0 0 0 1 -1 0 0 1 -1 -1 -1
-1 1 -2 -1 -1 1 -2 2 1 2 4 -4 4 -1 0 0 0 1 1 0 1 1 -2 1 4 -1 0 0 0 0 0 0 0 0 1 -1 2 -1 0 -1
2 -1 1 3 2 -2 0 -2 0 -1 -1 1 -2 2 0 -1 -2 3 0 2 -1 -2 2 2 -2 0 -1 1 -1 0 2 1 -2 1 -1 1 0 -1 0 0
0 1 -1 -1 0 -1 1 1 -2 1 0 0 1 0 1 1 0 -1 -1 0 1 1 0 -2 1 -1 0 0 0 1 0 0 0 0 1 -2 1 1 0 -1
-2 1 -1 -3 -1 2 -1 2 2 1 3 -4 3 -1 -1 0 1 -1 1 -1 1 1 -2 0 3 0 0 0 1 0 -1 -1 2 -1 1 0 0 -1 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
-2 0 0 -2 -1 2 -2 1 3 1 4 -4 3 -1 -1 -1 0 0 2 -1 1 1 -2 2 3 1 0 0 1 0 -1 -1 2 -1 0 1 0 -2 0 0
0 0 0 0 0 0 -1 0 2 0 2 -2 1 0 0 -1 -1 1 1 0 0 0 -1 2 1 1 0 0 0 0 0 -1 1 0 -1 1 0 -1 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 1 -2 0 -1 2 1 -2 0 -1 1 1 -1 2 1 0 -1 -1 0 2 0 1 -3 0 0 1 -1 0 0 -2 -1 1 0 1 -2 1 2 0 0
-1 0 0 -2 0 -1 1 1 0 1 1 -1 2 0 1 0 -1 0 0 0 2 0 0 -1 1 0 1 -1 0 0 -1 -1 1 0 1 -1 1 0 0 0
-2 0 0 -2 -1 1 0 2 1 1 2 -2 2 -1 0 0 1 -1 0 -1 1 1 -1 -1 2 0 0 0 1 0 -1 -1 1 -1 1 0 0 0 0 0
1 -1 3 1 2 -2 2 -2 -2 -2 -4 4 -3 1 1 0 -1 0 -1 1 0 -2 3 -1 -4 1 0 0 -1 0 0 0 0 1 -1 0 -1 1 0 1
1 0 1 2 1 -1 0 -1 -1 0 -2 2 -2 0 1 0 0 1 -1 0 -1 -1 1 0 -2 0 0 0 -1 0 1 0 -1 1 -1 0 0 1 0 0
2 -2 3 0 4 -4 3 -2 -3 -2 -5 5 -3 1 2 1 -2 0 -2 3 1 -3 4 -2 -4 1 0 -1 -1 1 0 0 0 1 0 -1 -1 1 0 1
0 0 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 0 0 0 0 0 0
0 0 0 0 1 -1 0 1 1 1 1 -1 0 0 0 -1 -1 1 0 1 0 -1 0 0 1 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0
-1 1 -1 -2 -1 1 0 1 0 1 1 -2 2 0 0 1 1 -1 0 -1 1 1 -1 -1 2 -1 0 1 1 0 0 0 1 -1 1 -1 1 0 -1 -1
-1 1 -1 -2 -2 2 -1 1 0 0 2 -2 3 -1 -1 1 1 -2 1 -1 1 2 -2 0 2 0 0 0 1 0 -1 -1 2 -1 1 0 0 -1 0 0
1 0 1 0 1 -2 2 -1 -3 -1 -3 3 -1 1 1 1 -1 -1 -1 1 1 0 2 -2 -2 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 0
2 -1 1 2 1 -3 2 -1 -1 -1 -2 2 -2 1 2 0 -2 2 -1 2 0 -2 2 0 -2 0 0 0 -1 -1 0 0 -1 1 0 0 1 1 0 0
0 0 0 1 0 1 -1 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 -1 0 -1 0 0 1 -1 1 0 0 1 0 0 0
-2 1 -1 -3 -2 2 0 2 -1 1 1 -1 3 -1 0 2 1 -2 0 -1 2 2 -1 -2 3 -1 0 0 0 0 -1 0 1 -1 2 -2 2 1 0 -1
-2 1 -1 -1 -2 3 -2 1 1 1 2 -2 2 -1 -1 0 1 -1 1 -2 0 2 -2 0 2 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0
1 0 -1 -1 0 -1 1 0 -1 0 0 0 1 0 1 1 -1 0 -1 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 -1 1 1 0 -1
1 0 1 -1 1 -1 2 -1 -4 -1 -4 4 -1 0 1 2 0 -2 -2 1 1 0 2 -3 -2 -1 0 -1 -1 1 0 0 0 0 1 -2 0 2 1 0
2 -1 1 1 2 -2 1 -2 -1 -1 -2 2 -2 2 0 0 -2 1 -1 2 0 -2 2 1 -2 0 -1 0 -1 0 1 1 -1 1 0 0 0 0 0 0
0 0 0-1 0-1 2 0-1 0-1 1 1 1-1 0-1 0 1 1 0-1 0 0 0 0 0 0 0 1 1 1 1 1 0-1
1 0 1 1 0 0 1 -2 -2 -2 -3 3 -2 1 0 1 0 -1 -1 0 -1 0 1 0 -3 0 0 0 0 0 1 0 0 0 -1 0 -1 1 0 0
0 0 0 -1 0 0 1 0 -1 0 -1 1 0 0 0 1 0 -1 -1 0 0 0 0 -1 0 -1 0 0 0 0 0 0 0 0 1 -1 0 1 0 0
0 0 1 -2 1 0 1 -1 -3 -1 -3 3 0 0 1 2 0 -2 -1 1 2 0 1 -2 -1 0 0 -1 -1 1 -1 0 1 0 1 -2 1 1 0 0
1 -1 0 -1 0 -1 2 0 -2 -1 -1 2 0 1 1 1 -1 -1 -1 1 1 0 1 -1 0 -1 0 0 0 0 0 0 0 0 1 -1 1 1 0 -1
1 0 -1 0 -1 1 0 -1 -1 -1 0 0 0 1 -1 1 0 -1 0 0 0 1 0 1 0 -1 -1 1 1 0 1 1 0 -1 0 0 0 0 0 -1
1 -1 2 -2 2 -2 3 -1 -4 -2 -4 4 -1 0 2 2 -1 -2 -2 2 2 -1 3 -3 -2 0 0 -1 -1 1 -1 0 1 0 1 -2 0 2 0 0
-1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0
1 0 0 -1 0 -2 2 0 -2 0 0 0 1 1 1 1 -2 0 -1 1 2 0 1 -1 0 -1 0 0 0 0 0 0 1 -1 1 -1 1 1 0 -1
40
0 1 -1 0 -1 0 0 0 1 1 1 -2 1 0 0 0 0 1 0 -1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 1 0 1 0 0 -1
0 0 -2 -1 -1 0 0 1 0 1 2 -2 2 0 0 0 0 0 0 0 1 1 -1 0 2 -1 0 0 1 0 0 0 0 -1 1 0 1 0 0 -1
0 0 0 -1 0 -2 2 1 -1 1 0 -1 1 0 2 1 -1 1 -1 1 2 -1 1 -1 1 -1 0 0 0 -1 -1 0 0 0 2 -1 2 1 0 -1
0 0 0 -1 1 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
2 -1 0 0 1 -2 1 -1 -1 -1 0 0 0 1 1 0 -2 1 0 2 1 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1
0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 -1 0 1 0 -1 -1 0 0 1 -1 0 0 0 1 -1 0 0 -1 0 0 1 0 0 0 0
1 -1 1 -1 1 -2 2 -1 -2 -1 -2 2 0 0 2 1 -1 0 -1 2 1 -1 2 -1 -1 0 0 -1 0 0 -1 0 0 0 1 -1 1 1 0 0
1 0 -2 2 -1 0 -2 0 3 1 4 -4 1 1 -1 -2 -1 3 1 0 -1 0 -2 4 2 0 -1 1 1 -1 1 0 -1 0 0 2 1 -2 0 -1
-1 1 0 -1 0 1 0 1 -1 1 -1 0 0 -1 0 1 2 -1 -1 -1 0 0 0 -2 0 -1 0 0 0 0 0 0 0 0 1 -1 0 1 0 0
0 0 1 0 0 0 0 -1 -1 0 -1 1 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 1 0 0 0 1 0 -2 0 -3 3 -1 -1 1 1 1 -1 -1 -1 0 0 1 -2 -2 0 1 -1 -1 0 -1 0 0 1 0 -1 0 2 0 0
1 0 0 0 0 0 0 -1 -1 0 -1 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
-1 0 0 -2 0 0 1 1 0 0 1 -1 1 0 0 0 0 -1 0 0 1 0 0 -1 1 0 0 0 1 0 -1 -1 1 -1 1 0 0 0 0 0
0 0 0 1 0 0 0 0 1 0 0 0 -1 0 0 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 -1 0 0 -1 1 0 1 0 0 0 0
0 -1 0 1 0 0 0 0 2 0 0 0 -1 0 0 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 -1 0 0 -1 1 0 1 0 0 0 0
-2 1 -1 -1 -2 3 -2 2 1 1 2 -2 2 -2 -1 0 2 -1 1 -2 0 2 -2 0 2 0 1 0 0 0 -1 -1 1 0 0 0 0 0 0 0
1-1 2-1 2-2-1-2-1-3-1 0 2 1-1 0-1 2 1-2 2-1-1 0 0-1-1 0 0 1 1-1 1 1 0 0
1 0 0 1 -1 0 0 -1 -1 -1 -1 1 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 1 0 1 -1 0 0 0 -1 1 -1 0 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0
0 0 1 0 0 -1 2 0 -3 0 -3 3 -1 0 1 1 1 -1 -2 0 0 0 2 -3 -2 -1 0 0 0 0 0 0 -1 0 1 -1 0 2 0 0
0 0 0 0 0 0 -1 0 2 1 2 -2 1 0 0 -1 -1 2 1 0 0 -1 -1 2 1 0 0 0 0 -1 0 0 0 0 0 1 1 -1 0 0
1 0 0 0 0 -1 1 0 -2 0 -1 0 0 0 1 1 0 0 -1 1 1 0 1 -1 0 -1 0 0 0 0 0 0 0 0 1 -1 1 1 0 -1
-2 1 -1 -2 -1 3 -2 1 1 1 2 -2 2 -1 -2 0 2 -2 1 -2 0 2 -2 0 2 0 0 0 1 1 0 0 1 -1 0 0 -1 -1 0 0
1 -1 0 0 1 -1 -1 -1 1 0 2 -2 1 1 0 -1 -2 2 1 2 1 -1 0 3 1 1 -1 0 0 0 0 0 0 0 0 1 1 -2 0 0
0 0 -1 -2 0 0 0 0 1 0 2 -2 2 0 0 0 -1 0 1 1 1 0 -1 1 2 0 0 0 1 0 0 0 1 -1 0 0 0 -1 0 0
1 -1 1 2 1 0 0 -2 0 -2 -2 2 -3 1 -1 -1 0 0 0 0 -2 0 1 1 -3 1 0 0 0 0 1 0 0 0 -2 2 -2 0 0 1
1 -1 1 0 1 -1 2 -1 -2 -2 -3 3 -2 1 0 1 -1 -1 -1 1 0 0 2 -1 -2 0 0 0 0 0 1 0 0 0 0 0 -1 1 0 0
0 -1 1 1 1 0 0 -1 0 -1 -1 1 -2 1 -1 -1 0 0 0 0 -1 0 1 0 -2 1 0 0 0 0 1 0 0 0 -1 1 -2 0 0 1
0 0 0 1-1 0 0 0 0 0 0-1 1-1 0 0-1-1 1 0 0-1 0 0 1 1 0-1 1 0-1 1 1 0-1 1 0 0 0
-2 0 1 1 -1 2 -1 0 1 0 0 0 -1 0 -1 -1 1 0 0 -2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1
0 -1 2 1 1 0 0 -1 0 -1 -2 2 -2 0 0 0 0 0 0 0 -1 -1 1 0 -2 1 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1
2 -2 1 1 2 -3 3 -1 -2 -2 -3 3 -3 2 1 0 -2 0 -2 2 0 -1 3 -1 -3 0 0 0 0 0 1 0 0 0 0 0 -1 1 0 0
1 -1 2 1 2 -1 1 -2 -2 -2 -4 4 -3 1 0 0 0 -1 -1 1 -1 -1 2 -1 -4 1 0 0 0 1 1 0 0 0 -1 0 -2 0 0 1
-2 0 1 0 -1 1 0 1 1 0 0 0 -1 0 -1 -1 1 -1 0 -2 -1 1 0 -1 -1 1 1 0 1 0 0 -1 1 -1 -1 1 -2 0 0 1
1 -1 2 3 1 1 0 -3 -2 -3 -5 5 -5 1 -1 0 1 -1 -1 0 -2 0 2 0 -5 1 0 0 -1 0 1 1 -1 1 -2 1 -2 1 0 1
-2 0 0 -1 -2 2 0 1 0 0 1 0 1 -1 0 0 1 -2 0 -2 0 2 -1 -1 1 0 1 0 1 0 -1 -1 1 -1 0 0 0 1 0 0
0 0 1 0 1 -1 1 0 -2 0 -2 2 -1 0 1 1 0 -1 -1 0 0 0 1 -2 -1 0 0 0 0 1 0 0 0 0 0 -1 0 1 0 0
-1 0 1 1 0 1 -1 0 0 0 0 0 -1 0 -1 -1 1 0 0 -1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1
2 -2 2 2 3 -3 2 -2 -1 -2 -4 4 -4 1 1 -1 -2 1 -1 2 -1 -2 3 0 -4 1 0 -1 -1 0 1 0 -1 1 -1 1 -2 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 1 0 0 0 0 0 0 0 0 0 0 0
40
-1 0 0 -1 0 0 0 1 0 1 0 0 1 -1 1 0 0 0 0 0 1 0 0 -1 1 0 1 -1 -1 0 -1 0 0 1 0 -1 1 1 0 0
0 -1 0 0 1 -2 1 1 1 1 1 -1 0 1 1 -1 -2 2 0 1 1 -1 1 0 1 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0
0 -1 1 -3 2 -3 3 1 -2 0 -2 2 1 -1 3 1 -2 -1 -1 2 3 -1 2 -3 0 0 1 -2 -1 1 -2 -1 1 0 1 -2 1 2 1 0
-1 0 -1 -1 0 0 -1 2 3 2 3 -3 2 -1 0 -1 0 1 1 0 0 -1 -2 1 3 0 0 0 0 0 -1 0 0 0 1 0 1 -1 0 0
1 -1 0 -1 2 -3 2 1 0 1 0 0 0 0 2 0 -2 1 -1 2 1 -2 1 -1 1 0 0 -1 -1 0 -1 0 0 1 1 -1 1 1 0 0
-1 0 0 -1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 0 -1 0 -1 0 0 1 1 -1 1 0 0 0
0 -1 0 -1 1 -2 1 1 1 1 1 0 1 0 1 -1 -2 1 0 1 1 -1 0 0 1 0 0 -1 -1 0 -1 -1 0 1 1 0 1 0 1 0
-2 0 -1 -1 -1 1 -1 2 2 2 3 -3 2 -1 0 -1 0 1 1 -1 1 1 -1 0 3 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0
-1 0 0 -1 0 0 0 1 0 1 0 0 1 -1 1 0 0 0 0 0 1 0 0 -1 1 0 1 -1 -1 0 -1 0 0 0 1 -1 1 1 0 0
-2 1 -2 -2 -2 2 -2 3 2 3 4 -4 4 -2 0 0 1 0 1 -1 1 1 -3 0 5 -1 0 0 0 -1 -1 0 0 0 2 -1 2 0 0 -1
2 0 1 2 1 -1 1 -2 -3 -1 -4 4 -3 1 1 1 0 0 -2 1 -1 -1 2 -1 -3 -1 0 0 -1 0 1 1 -2 1 0 -1 0 2 0 0
0 -1 0 0 1 -2 0 1 2 2 2 -2 1 0 2 -1 -2 3 0 1 1 -2 0 1 2 0 0 0 -1 -1 -1 0 -1 1 1 0 2 0 0 0
0 -1 1 0 2 -2 1 0 1 0 -1 1 -1 0 1 -1 -1 1 0 1 0 -2 1 0 -1 1 0 -1 -1 0 -1 0 0 1 0 0 0 0 0 1
0 0 1-1 2-2 1-1 1-2 1 0-1 1 1-2 1-2 0 0 0-1-1 1-1 0 1 1-2 1 1 0 0
0 0 1 1 1 0 0 0 0 0 -1 0 -1 0 0 0 0 1 0 0 0 -1 1 0 -1 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0
0 1 0 1 -1 1 -1 0 0 1 0 0 0 -1 0 0 1 0 0 -1 -1 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0
1 -1 1 0 3 -3 1 0 0 1 -1 1 0 -1 3 0 -2 2 -1 2 1 -3 1 0 0 0 0 -2 -2 0 -1 0 -1 2 1 -1 2 1 1 0
1 -1 2 0 2 -3 2 -1 -1 0 -2 2 -1 0 2 0 -2 1 -1 1 1 -2 2 -1 -2 1 0 -1 -1 0 -1 -1 0 1 0 0 0 1 1 1
1 0 1 2 1 0 0 -1 -1 -1 -2 2 -3 0 0 0 1 0 -1 0 -2 -1 1 0 -2 0 0 0 0 0 1 0 -1 1 -1 0 -1 1 0 0
-1 0 0 -1 0 0 0 1 0 1 0 0 1 -1 1 0 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 0 -1 0 0 0 1 -1 1 1 1 0
-1 0 -2 -2 0 0 -1 2 2 2 4 -4 4 -1 1 0 -1 1 1 1 2 0 -2 1 5 -1 0 0 0 0 -1 0 0 0 2 -1 3 -1 0 -1
-1 0 0 -2 0 -1 1 2 0 2 1 -1 2 -2 2 0 -1 0 0 0 2 0 0 -2 2 0 1 -2 -1 0 -2 -1 1 0 1 -1 1 2 1 0
-1 1 -1 2 -2 3 -3 0 2 1 2 -2 0 0 -2 -1 2 1 1 -2 -2 1 -2 2 1 0 0 1 0 -1 1 1 -1 0 -1 1 0 -1 -1 0
-3 1 -3 -3 -3 2 -2 4 4 4 7 -7 6 -2 0 -1 0 1 2 -2 2 2 -4 1 7 -1 0 0 1 -1 -2 -1 1 -1 2 0 3 -1 0 -1
0 -1 0 -1 1 -2 0 1 3 1 3 -3 2 0 1 -1 -2 2 1 1 1 -2 -1 2 2 1 0 0 0 0 -1 -1 1 0 0 1 1 -2 0 0
-1 0 0 0-1 0 1 0 1 2-1 1 0 0-1 0 0 0-1 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
-1 0 0 -1 0 0 0 1 0 1 1 -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 0 0 0 0
0 -1 0 0 0 -1 1 0 1 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 1 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0
-2 0 0 -2 0 0 0 2 1 2 2 -2 2 -1 1 0 0 0 0 0 1 0 0 -1 3 0 0 0 0 0 -1 0 0 0 1 -1 1 0 0 0
0 0 1 0 0 0 0 -1 -1 0 -1 1 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
-1 -1 1 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 -1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 1 -1 1 -2 2 0 0 0 0 0 0 1 1 0 -2 1 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 -1 0 -1 1 1 1 1 1 -1 1 0 1 0 -1 1 0 0 1 -1 1 0 1 0 0 0 0 -1 -1 0 0 0 1 0 1 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 1 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 -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
2 -2 2 2 3 -3 1 -2 0 -1 -1 1 -2 2 1 -1 -3 3 0 3 0 -3 3 2 -2 1 -1 0 -1 0 1 1 -1 1 -1 1 0 -1 0 0
0 -1 1 1 0 0 1 -1 -2 -1 -2 3 -2 1 0 0 0 -1 -1 0 -1 1 2 -1 -2 0 0 0 0 0 1 1 -1 0 -1 0 -1 1 0 0
0 -1 1 -1 1 -2 2 0 -1 0 -1 1 0 0 2 0 -1 0 -1 1 1 -1 2 -1 0 0 0 -1 0 0 -1 0 0 0 1 -1 1 1 0 0
-1 0 0 -1 0 0 0 1 1 1 1 -1 1 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 0 0 -1 -1 2 -1 1 1 1 1 -1 1 -1 0 0 1 -1 1 -1 0 1 -1 0 2 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0
40
1 -1 2 2 2 -1 0 -2 -1 -1 -4 4 -3 0 1 0 0 1 -1 1 -1 -2 2 0 -3 1 0 -1 -2 0 0 1 -2 2 -1 0 0 1 0 1
1 -1 1 -1 2 -2 2 0 -2 -1 -3 3 -2 1 1 1 -1 -1 -1 2 1 -1 2 -2 -1 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 0
2 -2 3 0 4 -4 3 -2 -3 -2 -6 6 -3 0 3 1 -2 0 -2 3 1 -3 4 -2 -4 1 0 -2 -2 1 -1 0 -1 2 0 -1 0 2 1 1
0 -1 0 0 1 -1 0 1 2 0 1 -1 0 0 0 -1 -1 1 1 1 0 -1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0
1 -1 0 0 2 -1 0 0 1 0 0 0 -1 0 1 0 -1 1 0 2 0 -2 0 1 1 0 -1 0 -1 0 0 1 -1 1 0 0 1 0 0 0
0 0 0 1 0 1 -1 0 0 0 -1 1 -1 0 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0
2 -2 3 2 3 -3 2 -2 -1 -2 -4 5 -4 1 1 -1 -2 1 -1 2 -1 -3 3 0 -4 1 0 -1 -2 0 0 0 -1 2 -1 1 -1 1 1 1
-2 1 -1 -1 -2 3 -2 1 1 1 1 -1 1 -1 -1 0 2 -1 1 -2 0 2 -2 0 2 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0
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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
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5 -2 3 4 5 -4 2 -5 -3 -4 -7 7 -7 2 1 0 -2 1 -2 4 -2 -4 4 1 -7 1 -1 -1 -2 1 2 1 -2 2 -2 1 -2 1 1 1
2-1 1 1 0 1-2-2-3 3-3 2-1 1 0-1 1-1 0 2 0-3 0 1 0 2 1 0 0-1 0-2 0-1 0-1 0
0 0 1 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 0 0 0 0 0 0 0 0 0 0
3 0 1 1 3 -3 1 -2 -2 -1 -3 2 -2 1 1 1 -1 1 -1 3 0 -3 2 0 -2 0 -1 0 -1 1 1 1 -1 1 0 -1 0 0 0 0
1 -1 1 2 2 -3 1 0 0 1 -1 1 -1 0 2 -1 -2 3 -1 1 0 -2 2 0 -1 0 0 -1 -2 0 0 0 -2 2 0 0 1 1 1 0
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2 0 2 1 2 -2 2 -2 -3 -1 -5 5 -3 0 1 1 0 -1 -2 1 -1 -2 2 -2 -4 0 0 -1 -1 1 0 0 -1 1 0 -1 -1 2 1 1
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3-1 2 1 3-3 2-3-2-2-4 3-3 2 1 1-2 1-1 3 0-3 1-3 0-1 0-1 1 1 0 0 0 0 0 0 0
0 1 1 0 0 1 0 0 -2 0 -2 2 -1 -1 0 1 2 -2 -1 -1 -1 0 0 -2 -1 0 0 0 0 1 0 0 0 0 0 -1 -1 1 0 0
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3 -1 3 3 3 -2 2 -4 -4 -4 -7 7 -6 2 0 1 0 -1 -2 2 -2 -2 4 -1 -7 1 0 0 -1 1 2 1 -1 1 -2 0 -3 1 0 1
-2 2 -1 -2 -2 4 -1 1 -2 0 -1 1 1 -2 -1 2 4 -5 0 -2 0 3 -2 -3 1 -1 0 0 1 1 -1 0 1 -1 1 -2 0 1 0 0
2 -1 0 2 1 -1 0 -2 0 -1 -1 1 -2 1 0 -1 -1 1 0 1 -1 -1 1 2 -2 0 0 0 0 0 1 1 -1 0 -1 1 -1 0 0 0
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1 0 2 0 2 -1 2 -2 -4 -2 -6 5 -3 0 1 2 1 -2 -2 1 0 -1 3 -3 -4 0 0 -1 -1 1 0 1 0 0 0 -2 -1 2 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
-1 0 0 -1 0 0 0 1 0 1 0 0 1 -1 1 0 0 0 0 0 1 0 0 -1 1 0 1 -1 -1 0 -1 0 0 0 1 -1 1 1 0 0
-1 1 -2 -2 -3 3 -1 1 0 0 2 -2 3 -1 -1 1 1 -2 1 -1 1 3 -2 0 3 -1 0 0 1 0 0 0 1 -2 1 -1 1 0 0 -1
1 -1 0 1 0 -1 1 -1 1 -1 0 0 -1 1 0 -1 -1 1 0 0 -1 0 1 1 -1 0 0 0 1 0 1 0 0 -1 -1 1 -1 0 0 0
1 -1 1 1 1 -1 1 -1 -1 -1 -2 2 -2 1 0 0 0 0 -1 1 -1 -1 2 0 -2 0 0 0 0 0 1 1 -1 0 0 0 -1 0 0 0
-1 1 0 1 -1 3 -2 -1 0 0 -1 1 -1 -1 -1 0 3 -1 0 -2 -2 1 -1 0 -1 0 0 0 0 0 0 1 -1 0 -1 0 -1 1 0 1
0 0 0 -1 0 1 0 0 -1 -1 -1 1 0 0 0 1 1 -2 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 1 -1 0 -1 0 0 0 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2,106-223(1998年4月)
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笔记
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URL(指向此晶格的其他网站的链接)
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