格子SL2(7)SL2(9).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)
最后修改时间:2014年7月18日星期五13:14:05
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(_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(7)SL2(9).2
-
尺寸
32
-
GRAM(浮点或整数GRAM矩阵)
32 0
6
3 6
1 1 6
2 1 2 6
2 3 1 1 6
2 2 3 2 3 6
3 3 2 2 3 2 6
2 1 2 3 1 3 1 6
2 2 1 3 2 2 1 2 6
1 2 2 3 2 2 2 3 2 6
2 2 1 3 1 1 2 2 3 3 6
1 1 2 2 1 2 2 2 2 2 2 6
3 2 2 2 1 2 3 2 1 3 3 1 6
2 2 2 2 2 3 1 3 1 2 2 1 3 6
2 2 2 3 1 2 3 2 2 3 2 3 1 6
2 2 2 2 2 2 2 1 1 2 2 3 2 1 2 6
2 1 3 3 1 2 2 1 1 2 2 2 3 2 3 2 6
1 3 1 2 2 3 1 2 2 2 3 1 2 3 3 2 2 6
2 1 1 3 3 3 2 2 2 2 2 2 2 2 3 2 2 3 6
2 2 1 3 1 0 2 2 3 3 2 2 2 2 2 1 1 1 1 6
3 3 1 3 2 3 3 1 2 2 2 1 3 1 3 3 2 2 3 1 6
3 2 2 2 1 2 2 2 2 1 2 0 3 2 2 1 1 2 1 2 2 6
2 2 2 2 2 3 1 2 3 3 2 0 2 2 0 1 1 2 1 1 2 3 6
1 2 1 1 3 2 2 3 3 2 1 1 1 1 0 2 3 2 1 1 3 6
1 2 1 2 3 2 2 2 3 3 1 1 2 1 2 0 1 1 2 2 2 1 2 3 6
3 2 0 2 2 2 3 2 2 2 1 1 1 0 2 2 3 2 2 3 2 6
1 2 2 3 1 3 3 3 2 3 2 3 3 2 3 2 2 2 2 2 3 1 2 2 3 2 6
1 1 2 1 1 2 2 1 1 2 3 3 2 1 3 3 3 3 2 0 1 1 1 1 0 0 2 6
3 2 1 1 3 2 3 1 2 1 1 0 2 2 2 0 2 2 2 2 1 1 2 3 2 2 1 1 6
1 1 2 1 3 3 1 2 1 2 1 2 2 2 0 3 2 2 2 0 1 1 2 1 1 1 1 2 1 6
1 3 2 2 3 2 2 2 2 1 1 0 1 2 3 0 1 3 2 2 1 2 1 2 3 1 1 0 3 1 6
2 2 0 0 3 2 1 0 2 1 2 1 1 1 0 2 0 2 1 0 1 2 2 1 1 1 -1 2 1 3 1 6
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除数(初等除数)
1^24 7^8
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最小_形式
6
-
亲吻_编号
26880
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组订单(_O)
2^8 * 3^3 * 5 * 7
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发电机组
三
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
-6 5 1 1 1 1 2 6 -3 -8 1 -1 2 -2 3 0 1 0 2 5 -1 -3 5 -1 3 -1 -5 -1 0 -1 -7 2
-3 2 0 2 1 1 3 3 -2 -8 -1 0 3 0 4 0 0 2 -1 4 -1 -4 5 2 3 -1 -6 0 -3 0 -5 0
2 -2 -1 -1 -1 0 -1 -3 2 4 0 0 -1 1 -2 1 1 -1 -1 -3 0 2 -3 1 -2 1 3 0 0 0 4 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
-2 1 0 1 1 1 2 2 -1 -5 0 0 2 0 2 0 0 1 -1 3 0 -3 3 1 2 -1 -4 0 -2 0 -3 0
-1 1 0 1 1 1 1 2 -1 -4 0 0 2 -1 1 0 0 1 -1 2 0 -2 2 1 1 -1 -3 0 -1 0 -2 0
-2 1 -1 3 1 2 3 3 -3 -8 -1 1 4 0 4 0 0 2 -3 4 0 -5 5 4 3 -2 -7 0 -4 0 -4 0
1 -1 0 -1 -1 -1 -1 -2 1 3 0 0 -2 1 -1 1 1 -1 0 -2 0 2 -2 0 -1 1 3 -1 1 0 2 1
-3 2 0 1 1 1 1 3 -2 -5 0 0 2 -1 1 0 1 0 0 3 0 -2 3 1 1 -1 -3 0 -1 -1 -3 1
-3 2 0 1 0 1 2 3 -2 -5 0 0 1 -1 2 0 1 1 0 3 0 -2 3 1 2 -1 -4 -1 -1 0 -4 1
-3 2 0 2 0 2 4 4 -3 -9 0 0 3 -1 3 0 0 2 -1 5 0 -5 6 2 4 -2 -7 0 -3 0 -5 0
-3 2 0 2 1 2 3 4-3-8 0 3-1 3 0 0 2-1 5 0-4 5 2 3-2-7 0-3 0-5 0
-1 1 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 -1 0 0 0 -1 0
-3 2 0 3 1 2 3 4 -2 -8 -1 0 4 -1 3 0 0 2 -2 4 0 -4 4 3 3 -2 -7 0 -3 0 -5 0
-2 1 0 1 0 1 2 2 -1 -4 0 0 1 0 2 0 0 1 -1 2 0 -2 3 1 2 -1 -4 0 -1 0 -3 0
0 0 0 0 0 0 0 -1 1 1 0 0 0 0 -1 0 0 0 0 -1 0 1 -1 0 -1 0 1 0 0 0 1 0
-5 4 0 3 1 2 3 5 -3 -9 0 0 3 -1 4 0 0 1 -1 5 0 -4 5 2 4 -2 -8 0 -2 0 -7 0
1 -1 -1 1 0 1 2 0 0 -2 -1 0 1 1 1 0 0 1 -3 1 1 -2 1 3 1 -1 -3 1 -3 1 0 -1
1 -1 0 -2 -1 -1 -3 -2 1 5 1 0 -2 0 -4 1 1 -2 1 -3 1 4 -4 -1 -2 1 5 0 3 -1 4 1
-2 1 0 2 1 1 3 3 -1 -6 -1 0 3 0 3 0 0 2 -2 3 0 -4 4 2 2 -1 -6 0 -3 0 -4 0
-3 2-1 2 0 2 3 3-2-7-1 0 3 0 4 1 0 1-1 4-4 5 2 3-1-7 0-3 0-4 0
-4 3 0 3 1 1 3 4 -3 -9 -1 0 3 0 5 0 0 1 -1 5 -1 -5 6 2 3 -1 -7 0 -3 0 -6 1
0 0 0-1 0-1 0 0 1 0-1 0-1 0 1-1 0 1 1 1 1 0-1 0 2 0 1 0 1 1 1
-4 3 0 4 2 2 4 5 -4 -11 -1 0 5 -1 5 0 0 2 -2 6 -1 -6 7 3 4 -2 -9 0 -4 0 -7 0
-1 0 -1 2 1 1 3 3 -2 -6 -1 1 3 0 3 0 0 2 -3 3 1 -4 4 3 2 -2 -6 0 -3 0 -3 0
-3 2 0 3 1 2 3 4 -3 -9 0 0 4 -1 3 0 0 2 -2 5 0 -5 5 3 3 -2 -7 0 -3 0 -5 0
-4 3 0 2 0 2 3 4 -2 -7 0 0 2 -1 2 0 0 1 0 4 0 -3 4 1 3 -2 -6 0 -1 0 -5 0
2 -1 1 -2 0 -2 -4 -3 2 7 1 0 -3 0 -4 0 0 -2 1 -4 1 5 -6 -2 -3 1 7 0 4 0 4 1
-2 1 0 1 1 1 2 2 -2 -5 0 0 1 0 3 0 0 1 -1 3 0 -3 4 1 2 -1 -4 0 -2 0 -3 0
-5 4 0 4 2 2 4 6 -4 -12 -1 0 5 -1 6 0 0 2 -2 6 -1 -6 7 3 5 -2 -10 0 -4 0 -8 0
-4 3 0 2 1 2 3 4 -3 -8 0 0 2 -1 4 0 0 1 0 5 -1 -4 6 0 4 -1 -7 0 -2 0 -6 0
32
-2 1 0 0 0 0 1 2 -2 -3 1 0 0 -1 1 0 1 0 1 2 0 -1 2 0 1 -1 -1 -1 0 0 -2 1
-4 2 0 3 1 2 4 5 -4 -10 0 0 3 -1 4 0 0 2 -1 6 0 -5 6 2 4 -2 -8 0 -3 0 -6 0
3 -3 0 -3 -1 -2 -2 -3 3 7 0 0 -3 1 -4 0 1 -1 1 -4 1 4 -5 -1 -3 1 6 0 2 0 5 0
1 -1 0 -2 0 -1 -3 -2 1 4 1 0 -2 0 -2 0 1 -2 1 -2 1 3 -3 -1 -2 1 4 0 2 0 3 0
-6 4 0 8 3 3 7 9 -7 -20 -2 1 8 -1 10 -1 -2 5 -5 10 0 -11 12 6 8 -4 -17 1 -7 1 -13 -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
-3 2 0 2 1 1 2 4 -3 -7 0 0 2 -1 3 0 0 1 0 4 0 -3 4 1 3 -2 -5 0 -1 0 -5 0
-3 2 0 3 2 1 3 4 -3 -9 -1 0 4 -1 5 -1 0 2 -1 5 -1 -5 6 2 3 -1 -7 0 -4 0 -6 0
3 -3 0 -4 -1 -2 -5 -5 4 11 2 0 -4 0 -7 1 1 -3 2 -6 1 7 -8 -3 -5 2 10 0 5 -1 8 0
-6 4 0 6 3 2 6 8 -6 -17 -2 1 7 -1 8 -1 -1 4 -3 9 0 -9 11 4 7 -3 -15 1 -6 0 -11 -1
-3 2 -1 2 1 2 3 4 -3 -8 0 0 3 -1 3 0 0 1 -1 5 0 -4 5 2 3 -2 -7 1 -3 0 -4 -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 -1
-2 1 0 0 1 0 1 3 -2 -4 0 0 1 -1 1 0 1 0 1 3 0 -2 3 0 1 -1 -2 0 -1 -1 -2 1
-2 1 -1 5 2 2 4 4 -4 -11 -2 1 5 0 6 -1 -1 3 -4 6 0 -7 7 5 4 -2 -10 1 -6 1 -6 -1
1 -1 0 -4 -1 -1 -3 -2 2 7 2 -1 -4 0 -4 1 2 -3 3 -3 0 5 -5 -3 -3 1 7 -1 4 -1 4 1
2 -2 0 -3 -1 -1 -2 -2 1 5 1 0 -3 0 -3 0 1 -1 1 -2 1 3 -3 -2 -2 1 5 0 2 0 4 0
1 -1 0 -2 0 -1 -2 -1 1 4 1 0 -2 0 -3 0 1 -2 1 -2 1 3 -3 -1 -2 0 4 0 2 0 3 0
-1 0 -1 2 1 2 2 2 -2 -5 0 0 2 0 2 0 0 1 -2 3 0 -3 3 2 2 -1 -5 1 -3 0 -2 -1
0 0 0 1 1 0-1 0-1 0 0 0 1 0 0-1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0-1 0
0 0 0 1 1 0 0 0 -1 -2 0 1 1 0 1 0 0 1 -1 1 0 -1 1 1 1 0 -2 0 -1 0 -1 -1
3 -3 1 -7 -2 -3 -7 -6 4 15 3 -1 -8 0 -8 1 2 -5 5 -7 1 10 -10 -6 -6 3 15 -1 8 -1 9 2
3 -3 -1 -2 -1 -1 -1 -3 2 5 0 0 -2 1 -2 1 1 -1 0 -3 0 2 -3 0 -2 1 4 0 0 0 5 0
0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0
-4 3 0 5 2 2 4 5 -4 -12 -1 0 5 -1 5 0 -1 3 -2 6 -1 -6 7 3 5 -2 -10 1 -4 0 -8 -1
-4 3 1 2 1 0 1 4 -2 -6 0 0 2 -1 2 0 0 0 1 3 0 -2 3 0 2 -1 -4 0 0 -1 -5 1
-3 2 0 2 1 1 2 3 -3 -7 0 0 2 -1 4 0 0 1 0 4 -1 -3 5 1 3 -1 -5 0 -2 0 -5 0
0 0 1 -2 0 -1 -3 -1 1 4 1 -1 -2 -1 -3 0 1 -2 3 -1 0 3 -3 -3 -2 1 5 0 3 -1 2 1
0 0-1 1 0 1 1-1-2 0 1 0 0 0 0-1 1 0-1 1 1 1 1-1 1-1 0-1
-3 2 0 2 1 1 2 4 -3 -7 1 0 2 -1 2 0 0 1 0 4 0 -3 4 1 3 -2 -5 0 -1 0 -5 0
-1 0 0 3 2 1 3 4-3-8-1 1 4-1 3-1 3-3 4 1-5 5 3-2-7 1-4 0-4-1
-2 1 0 2 1 1 2 3 -2 -6 0 0 2 0 3 0 0 1 -1 3 0 -3 3 2 2 -1 -5 0 -2 0 -4 0
-5 3 -1 5 1 3 6 7 -5 -14 -1 1 6 -1 6 0 -1 3 -3 7 0 -8 9 4 6 -3 -13 1 -5 0 -8 -1
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
6 -4 0 -6 -3 -2 -6 -8 5 16 2 -1 -7 1 -7 1 1 -4 3 -8 0 9 -10 -4 -6 3 14 -1 6 0 10 1
-1 1 0 2 0 1 2 1 -1 -4 -1 0 2 0 2 0 0 2 -1 2 -1 -3 3 1 2 0 -4 0 -2 0 -3 0
-2 2 -1 7 2 3 6 5 -5 -15 -3 2 8 0 8 -1 -2 5 -6 7 0 -10 10 7 6 -3 -15 1 -8 1 -8 -2
3 -2 0 -2 -1 -1 -2 -3 2 6 0 0 -2 0 -3 0 0 -1 1 -3 0 3 -3 -2 -2 1 5 0 2 0 4 0
3 -2 0 -1 -1 -1 -1 -3 2 5 0 0 -1 0 -3 0 0 0 0 -3 0 2 -3 -1 -2 1 4 0 1 0 4 0
1 0 0 1 0 1 1 0 -1 -2 -1 0 1 0 2 0 0 1 -1 1 -1 -2 2 1 1 0 -2 0 -2 0 -1 0
3 -2 0 0 0 0 -1 -3 1 3 0 1 0 0 -2 0 -1 1 -1 -2 0 1 -2 0 -1 1 2 0 0 0 3 -1
-4 3 -1 7 2 4 7 7 -6 -17 -2 1 8 -1 8 -1 -2 5 -5 9 0 -10 11 6 7 -4 -16 1 -7 1 -10 -2
9 -7 -1 -4 -2 -2 -6 -10 6 17 0 1 -5 2 -8 1 0 -2 -1 -10 1 8 -11 -1 -7 3 13 0 4 0 13 -1
1 0 -1 4 0 2 2 0 -1 -4 -2 1 3 1 3 0 -2 2 -4 1 0 -3 2 4 2 -1 -6 1 -3 1 -2 -2
-1 1 0 2 0 1 2 2 -2 -5 -1 0 2 -1 2 0 0 2 -1 3 0 -3 3 2 2 -1 -4 0 -2 0 -3 0
5 -3 0 -2 -1 -1 -3 -5 3 9 0 0 -3 1 -4 0 0 -1 0 -5 0 4 -6 -1 -4 2 7 0 2 0 6 0
4 -2 0 -2 -1 -1 -4 -5 3 9 1 0 -3 0 -5 0 0 -2 1 -5 0 5 -6 -2 -4 2 8 0 3 0 6 0
1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0
3 -2 0 -1 -1 -1 -1 -3 2 4 -1 0 -1 1 -1 0 0 0 0 -2 0 1 -2 0 -2 1 3 0 0 0 3 0
1 0 0 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 -1 0 -1 0 0 0
6 -4 0 -4 -2 -2 -6 -8 5 15 1 0 -5 1 -7 0 0 -3 1 -8 1 8 -10 -3 -6 3 12 0 5 0 10 0
2 -1 0 1 0 0 0 -1 0 0 -1 1 1 0 0 -1 -1 1 -2 0 1 -1 0 1 0 0 -1 1 -1 1 1 -1
2 -1 -1 0 0 1 -1 -2 0 2 0 1 0 0 -1 0 0 0 -1 -1 0 1 -1 1 -1 0 1 0 0 0 2 -1
2 -1 0 -1 -1 0 0 -1 1 2 0 0 0 0 -1 0 0 0 0 -1 0 0 -1 0 -1 0 1 0 0 0 2 0
-1 1 0 3 1 1 2 2 -2 -5 -1 1 3 0 3 -1 -1 2 -2 2 0 -3 3 2 2 -1 -5 0 -2 0 -4 0
3 -3 -1 1 0 0 0 -2 1 2 -1 1 1 1 -1 0 -1 1 -3 -2 1 0 -1 2 -1 0 0 1 -1 0 3 -1
5 -4 -1 -1 -1 0 -2 -5 2 7 0 1 -2 1 -3 0 -1 0 -2 -4 1 3 -4 0 -2 1 4 1 1 1 6 -2
4-3 0-3-1-1-3-4 2 8 1 0-3 0-5 0-1 1-4 1 4-5-2-3 1 7 0 3 0 6 0
2 -1 0 0 0 0 0 -1 0 1 0 1 0 0 0 0 -1 1 -1 -1 0 0 0 0 0 0 0 0 0 0 1 -1
3 -2 0 -1 -1 0 -1 -3 1 4 0 0 -1 0 -2 0 0 0 0 -2 0 1 -2 0 -2 1 3 0 0 0 4 0
4 -3 0 -1 -1 -1 -2 -4 3 7 -1 0 -2 1 -3 0 0 0 -1 -4 1 3 -5 0 -3 1 5 0 1 0 5 0
2 -1 -1 0 0 1 0 -1 0 1 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 1 -1 0 2 -1
4 -3 0 -2 -1 -2 -2 -4 3 7 -1 0 -2 1 -3 0 0 0 0 -4 0 3 -4 -1 -3 2 6 0 1 0 5 0
2 -1 0 -2 -1 0 -2 -3 1 5 1 0 -2 0 -3 0 0 -1 1 -2 0 3 -3 -2 -1 1 4 0 2 0 3 0
4 -3 0 -2 -1 -2 -3 -4 3 8 0 0 -3 1 -4 0 0 -1 0 -5 1 5 -6 -1 -3 1 7 0 3 0 5 0
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属性
积分=1
-
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
-
URL(指向此晶格的其他网站的链接)
所有四元数矩阵群
-
最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布