格SL2(5)2^1+6.O6-(2).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日星期五13:13:47 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
亲吻_编号
组订单
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(5)2^1+6.O6-(2).2
-
尺寸
32
-
GRAM(浮点或整数GRAM矩阵)
32 0个
8
4 8
4 2 8
2 2 1 8
4 3 3 2 8
4 3 3 3 4 8
4 3 3 2 4 4 8
4 3 3 4 4 4 4 8
4 3 3 2 4 4 4 4 8
4 4 2 3 4 4 4 4 4 8
2 2 1 4 2 2 2 2 2 3 8
1 1 4 3 2 0 2 2 3 1 2 8
4 3 3 3 4 4 4 4 4 4 2 3 8
2 2 2 4 3 3 3 3 3 2 4 2 3 8
2 4 4 1 2 2 2 2 2 4 1 3 2 -2 8
3 4 2 3 2 3 2 2 1 2 2 2 0 1 4 8
4 3 3 2 4 4 4 4 4 4 1 2 4 3 2 2 8
4 3 3 2 4 4 4 4 4 4 4 2 4 3 2 2 4 8
3 2 4 0 2 1 2 0 3 2 0 4 2 -1 3 3 2 2 8
4 3 2 4 4 4 4 4 2 2 4 2 2 2 2 4 2 8
2 4 1 2 1 2 2 1 0 2 2 1 1 1 2 4 3 2 2 1 8
2 1 4 1 3 0 2 1 2 1 0 4 1 1 2 2 0 2 4 1 2 8
1 1 4 2 2 1 2 1 2 1 2 4 0 2 3 4 2 2 4 2 2 4 8
3 4 2 2 2 2 1 2 2 2 1 2 2 1 4 4 3 2 1 2 2 2 2 8
3 4 2 2 2 2 2 2 2 2 2 2 2 1 4 4 4 1 1 2 4 0 2 4 8
3 4 2 2 3 2 2 2 2 2 2 2 2 1 4 4 2 2 1 4 0 0 2 4 4 8
2 2 1 4 1 2 2 2 2 3 4 2 2 4 1 2 2 2 0 3 2 1 2 2 2 1 8
2 4 1 2 3 2 3 1 0 2 2 1 1 1 2 4 1 1 2 1 4 1 2 0 2 2 2 8
1 1 1 4 0 2 2 3 2 1 0 2 1 4 -1 2 2 0 0 1 2 2 2 2 1 1 2 0 8
3 4 2 2 2 2 4 2 2 2 3 2 2 1 4 4 2 1 1 2 2 0 2 4 4 4 2 4 0 8
1 0 2 2 2 1 1 1 3 2 2 4 2 0 2 1 1 3 4 0 1 4 2 2 1 0 2 0 1 0 8
1 4 1 0 2 2 3 2 2 3 1 1 2 -1 4 2 4 2 2 2 4 0 1 4 4 2 0 2 0 4 2 8
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除数(初等除数)
1^16 5^16
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最小_形式
8
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亲吻_编号
21600
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组订单
2^16*3^5*5^2
-
发电机组
2
32
0 0 0 0 0 0 0 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
-2 1 1 0 0 0 1 0 0 1 1 0 0 -2 -2 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 -1
0 -1 -1 0 -1 1 0 2 0 0 -1 0 -1 2 0 -2 -1 0 2 -1 2 0 0 1 0 2 0 0 -2 0 0 0
1 1 1 0 1 -1 -1 -2 0 0 0 0 1 -1 0 2 -1 1 -2 1 -2 0 0 -2 1 -2 0 0 2 0 0 2
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 0 0 0 0 0 0 0 0 0 0
3 1 -1 1 1 -1 -1 -2 -1 -2 0 0 0 1 3 1 0 1 -1 1 -2 0 0 -3 0 -2 0 -1 2 0 0 3
-1 1 1 0 0 0 0 0 0 1 0 0 0 -1 -2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
-2 0 2 0 -1 0 1 1 1 2 0 0 0 -1 -3 0 0 -1 0 -1 2 0 0 2 0 2 0 0 -2 -1 0 -1
-2 0 2 0 -1 0 1 1 1 2 0 0 0 -1 -3 0 0 -1 0 -1 2 0 0 1 0 2 0 0 -2 0 0 -1
2 -1 -2 0 0 0 -1 0 -1 -2 0 -1 0 3 4 0 0 0 1 0 -1 1 -1 -2 0 0 0 0 1 0 0 2
2 -1 -1 0 0 0 -1 0 0 -1 0 0 0 2 2 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 -1 0 2
1 0 -1 0 0 0 0 0 0 -1 0 0 0 1 2 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 -1 0 1
0 -1 0 0 -1 0 1 1 1 1 -1 0 0 1 -1 0 -1 -1 0 -1 2 0 0 1 0 2 0 0 -2 -1 0 0
-1 1 1 0 0 0 0 0 0 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 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 1
1 -1 -2 0 0 0 0 1 0 -2 0 -1 -1 3 4 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0
0 -1 -1 0 0 0 0 1 0 -1 0 -1 -1 2 2 -1 0 0 2 0 1 0 -1 0 0 1 0 0 0 0 0 0
0 -2 -1 0 -1 1 0 2 0 0 -1 0 -1 3 1 -2 -1 0 2 -1 2 0 0 1 0 2 0 0 -2 0 0 0
7 -3 -8 1 1 1 -3 -1 -3 -7 0 -1 -3 9 14 -4 0 3 5 1 -4 2 -3 -4 1 -3 0 1 4 0 -2 5
-3 1 2 -1 -1 0 1 1 1 3 0 0 1 -2 -5 1 0 -1 -1 -1 2 0 1 1 0 2 0 -1 -2 1 1 -2
-1 -1 1 0 -1 0 0 1 1 2 -1 0 0 0 -3 0 -1 0 0 -1 2 0 1 1 0 2 0 0 -2 0 0 0
-1 -1 1 0 -1 0 0 1 1 1 -1 0 0 1 -2 0 -1 0 0 -1 2 0 0 1 0 2 0 0 -2 0 0 0
3 0 -2 1 3 -1 -2 -3 -1 -4 1 -1 0 1 6 0 -1 3 1 1 -4 0 -1 -3 1 -4 1 0 5 0 -2 4
2 2 0 0 2 -1 -1 -3 -1 -2 1 0 1 -1 2 2 0 1 -2 1 -3 0 0 -3 0 -3 1 -1 3 0 0 3
6 0 -4 1 4 -1 -3 -4 -3 -6 1 0 -1 3 10 0 -1 4 1 2 -6 0 -2 -5 1 -6 1 0 7 0 -2 6
2 0 -1 0 0 0 -1 -1 0 -1 0 0 0 1 2 0 0 0 -1 0 -1 1 0 -2 0 0 0 0 1 0 0 2
-1 2 2 0 0 0 0 -1 0 2 0 1 1 -3 -4 2 0 0 -3 0 0 0 1 -1 0 0 0 -1 0 1 1 0
-1 1 3 0 1 -1 0 -1 1 3 -1 1 1 -3 -5 2 -2 1 -2 -1 0 -1 1 0 1 0 1 -1 0 0 -1 1
2 2 0 1 2 -1 -1 -3 -1 -2 1 0 1 -1 2 2 0 1 -2 1 -3 0 0 -3 0 -3 0 -1 3 0 0 3
1 1 2 0 2 -1 -1 -2 0 0 0 0 1 -2 -1 2 -1 1 -2 0 -1 -1 1 -2 0 -1 1 -1 2 0 0 2
3 1 -2 1 3 -1 -2 -3 -2 -4 1 -1 0 1 6 0 0 3 1 1 -4 0 -1 -4 1 -4 1 -1 5 1 -1 3
32
-12 0 8 -2 -5 1 6 7 5 11 -1 1 1 -6 -18 0 0 -6 -1 -4 11 -1 2 10 -1 10 -1 0 -11 -1 2 -10
-7 1 6 -2 -3 0 4 3 3 7 0 1 2 -5 -12 2 0 -4 -3 -2 6 -1 2 6 -1 5 -1 0 -6 -1 2 -6
-6 0 5 -1 -2 0 3 3 3 5 0 0 1 -4 -9 0 0 -3 -1 -2 6 -1 1 5 -1 5 0 0 -5 -1 1 -5
-2 0 2 0 1-1 1 0 1 0 1-2 1-1 0-1 0 1-1 0 0 0 0 0-1
-3-2-1-1-3 1 2 4 1 1 1 1-1 2 0-3 1-2 3-1 3 1-1 4 0 3-1 2-3-1 0-4
-6 0 4-1-3 0 3 3 5 0 1-3-8 0 0-3-1-1 5 0 1 5 0 4-1 1-5-1 1-5
-7 2 6 -1 -2 -1 4 2 3 6 1 0 2 -6 -11 2 1 -4 -3 -1 5 -1 2 5 -1 4 -1 0 -5 -1 2 -6
-10 2 8 -2 -3 0 5 4 4 8 1 1 2 -8 -15 2 1 -5 -3 -2 7 -1 2 7 -1 6 -1 0 -7 -1 2 -8
-7 -2 2 -2 -5 1 4 7 3 5 0 -1 0 0 -7 -3 1 -5 2 -2 8 0 1 8 -1 7 -2 2 -8 -1 2 -8
-3 -1 1 -1 -2 0 2 3 1 2 0 -1 0 1 -2 -1 0 -2 1 -1 3 0 0 3 0 3 -1 1 -3 -1 1 -3
0 -2 -2 0 0 0 0 1 0 -1 0 -1 -1 3 4 -2 0 0 2 0 1 0 -1 1 0 0 -1 1 0 0 0 -1
-1 -2 0 0 -1 0 1 2 1 0 0 -1 0 1 0 -1 0 -1 1 -1 2 0 0 2 -1 2 0 1 -2 -1 0 -1
-6 -1 4 -1 -3 0 4 4 3 5 0 0 1 -2 -8 0 0 -4 0 -2 6 -1 1 6 -1 5 -1 1 -6 -2 1 -5
-1 -2 -2 0 -1 0 1 2 0 -1 0 -1 -1 3 3 -3 0 0 3 0 2 0 -1 2 0 1 -1 1 -1 0 0 -2
-1 0 2 -1 -1 0 1 1 1 2 0 0 1 -1 -3 1 0 -2 -2 -1 2 0 1 1 -1 2 0 0 -2 -1 1 -1
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 0 0 0 0 0 0 0
-5 -1 1 -1 -3 1 2 4 1 3 0 -1 0 0 -4 -2 1 -2 2 -1 4 1 0 4 0 4 -1 1 -4 0 1 -5
-5 -2 1 -1 -4 1 3 5 2 3 0 -1 -1 2 -3 -3 1 -4 2 -1 6 0 0 6 -1 5 -2 2 -6 -1 2 -6
-2 -1 1 0 -1 0 1 2 1 1 0 -1 0 0 -2 -1 0 -1 1 -1 2 0 0 3 0 2 0 1 -2 -1 0 -2
-6 0 4 -1 -2 0 2 3 2 5 0 0 1 -3 -8 0 0 -2 0 -2 4 0 1 4 0 4 0 0 -4 0 0 -4
0 -1 -1 0 0 0 0 0 0 -1 0 -1 0 2 2 0 0 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0
0 -2 -1 0 -1 0 1 2 1 -1 0 -1 -1 3 2 -2 0 -1 2 -1 2 0 -1 2 -1 2 0 1 -2 -1 0 -1
5 -3 -6 1 1 0 -2 0 -2 -6 0 -2 -2 7 12 -4 0 2 4 1 -2 1 -2 -2 0 -2 0 1 3 0 -1 2
-4 0 4 -1 -2 0 2 2 2 5 -1 1 1 -3 -8 1 0 -2 -2 -2 4 0 1 3 -1 4 0 0 -4 0 1 -3
-2 -1 0 -1 -1 1 1 2 0 2 0 0 0 0 -2 -1 0 -1 1 -1 2 1 0 2 0 2 0 0 -2 0 0 -2
-3 0 3 -1 -1 0 1 1 1 4 0 1 1 -3 -6 1 0 -1 -2 -1 2 0 1 2 0 2 0 0 -2 0 0 -2
0 -1 -1 0 0 0 0 1 0 0 -1 0 0 2 1 -1 -1 0 1 -1 1 0 0 0 0 1 0 0 -1 0 0 0
1 1 0 0 1 -1 0 -2 0 -1 1 0 1 -1 1 2 0 0 -2 1 -2 0 0 -1 0 -2 0 0 2 -1 0 1
-2 0 2 0 0 -1 1 0 1 1 0 0 1 -2 -3 1 0 0 -1 0 1 0 0 1 0 1 0 0 -1 0 0 -1
-4 2 5 -1 0 -1 2 0 2 5 0 1 2 -6 -9 3 0 -2 -4 -1 3 -1 2 2 -1 2 0 -1 -2 0 1 -3
1 -2 -2 0 0 0 0 1 0 -2 0 -1 -1 3 4 -2 0 0 2 0 0 0 -1 1 0 0 0 2 0 -1 0 0
-3 2 4 -1 0 -1 1 -1 1 3 1 0 2 -5 -6 3 1 -1 -3 0 0 0 1 1 0 0 0 0 0 0 1 -2
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属性
积分=1
模块化=5
-
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