格子(4+sqrt(5))x水蛭
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日星期五13:17:57 CEST
索引文件|缩写
此文件的内容
名称
尺寸
DET公司
格拉姆
分流器
最小_形式
亲吻_编号
组订单(_O)
组_名称
发电机组
属性
笔记
最后一行
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名称
(4+平方米(5))x水蛭
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尺寸
24
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DET公司
11^12
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格拉姆
24
12 -1 3 0 6 -2 -1 -2 2 -2 4 3 3 -6 4 5 0 0 -3 5 0 6 1 2
-1 12 -1 6 -2 -1 0 6 5 -3 1 -1 0 -3 -3 0 -6 0 -6 0 -3 -3 3 3
3 -1 12 -1 3 3 0 -3 -3 -2 -3 0 6 -5 -2 1 -2 -3 4 6 -3 3 -6 5
0 6 -1 12 -2 0 0 3 3 -4 5 2 2 -1 -3 0 -6 2 -4 0 -3 -3 3 0
6 -2 3 -2 12 -3 -1 -2 0 -3 -2 0 4 -6 0 5 2 -2 -3 3 -1 6 1 3
-2-1 3 0-3 12 3 0-3 3-2-2-3 1-2-4 0 0 4 6-6-3-1
-1 0 0 0 -1 3 12 -3 3 -3 -3 -6 -2 1 -6 -1 -1 -6 -2 3 5 -6 -6 6
-2 6 -3 3 -2 0 -3 12 2 3 2 -1 -3 -1 3 -5 -3 0 -4 -2 -2 -3 6 -3
2 5 -3 3 0 -3 3 2 12 -4 5 -1 -2 0 -1 0 -4 -3 -5 0 0 -3 3 4
-2 -3 -2 -4 -3 3 -3 3 -4 12 0 1 -3 5 6 -5 6 3 3 0 3 -2 0 -6
4 1 -3 5 -2 -2 -3 2 5 0 12 6 0 2 3 1 -2 3 -3 -3 -2 1 6 -3
3 -1 0 2 0 -2 -6 -1 -1 1 6 12 2 0 3 3 -1 6 3 -3 -5 6 5 -6
3 0 6 2 4 -3 -2 -3 -2 -3 0 2 12 -3 -3 2 -3 2 3 3 -6 6 0 4
-6 -3 -5 -1 -6 1 1 -1 0 5 2 0 -3 12 2 -5 3 3 3 -2 4 -6 -1 -5
4 -3 -2 -3 0 -2 -6 3 -1 6 3 3 -3 2 12 -2 3 3 2 0 1 3 3 -6
5 0 1 0 5 -4 -1 -5 0 -5 1 3 2 -5 -2 12 1 1 -3 -2 0 6 1 2
0-6-2-6 2 0-1-3-4 6-2-1-3 3 1 12 1 1-1 5 1-3-4
0 0 -3 2 -2 0 -6 0 -3 3 3 6 2 3 3 1 1 12 2 0 1 3 6 -6
-3 -6 4 -4 -3 0 -2 -4 -5 3 -3 3 3 3 2 -3 1 2 12 0 -3 3 -4 -2
5 0 6 0 3 4 3 -2 0 0 -3 -3 3 -2 0 -2 -1 0 0 12 3 -1 -5 5
0 -3 -3 -3 -1 6 5 -2 0 3 -2 -5 -6 4 1 0 5 1 -3 3 12 -6 -2 -1
6 -3 3 -3 6 -6 -6 -3 -3 -2 1 6 6 -6 3 6 1 3 3 -1 -6 12 3 0
1 3 -6 3 1 -3 -6 6 3 0 6 5 0 -1 3 1 -3 6 -4 -5 -2 3 12 -5
2 3 5 0 3 -1 6 -3 4 -6 -3 -6 4 -5 -6 2 -4 -6 -2 5 -1 0 -5 12
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分流器
11^12
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最小_形式
12
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亲吻_编号
37800
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组订单(_O)
72576000 = 2^10 * 3^4 * 5^3 * 7
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组_名称
2.J2 Y SL(2,5)
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发电机组
#3
24
-1 -1 0 -1 0 0 -1 0 1 0 0 1 1 -1 0 -1 -1 1 -2 -1 1 0 -2 0
2 0 1 1 -1 0 0 -1 -1 1 -1 -2 -2 2 -1 1 1 -1 1 1 -2 0 4 1
-1 -1 0 -1 -1 0 0 0 0 -1 0 1 1 -1 1 1 1 0 -1 1 -1 -2 0 0
-1 0 0 1 0 -1 -1 0 0 1 1 0 0 -1 -1 -1 -1 -1 0 0 3 2 -1 0
0 -1 1 -1 -1 1 1 -1 0 -1 -1 0 0 0 2 2 2 0 0 1 -4 -4 4 1
-2 1-1 0 1-2-2 0 0 2 1 1-2-1-2-1 0 5 2-4-2
0 0 -1 0 0 1 0 0 -1 -1 0 0 0 0 1 1 2 -1 1 1 -2 -2 2 1
1 1 0 2 1 -1 -2 1 1 2 0 -1 -2 2 -4 -2 -3 -1 1 -1 5 7 -3 -1
1 0 0 1 0 1 0 -1 0 1 -1 -1 -1 1 0 0 0 0 0 -1 -1 1 1 1
0 1 0 0 2 -1 -1 1 1 1 1 0 0 0 -2 -2 -3 1 0 -2 4 3 -5 -2
0 0 0 1 1 0 -1 0 1 1 0 0 0 0 -1 -2 -2 1 -1 -2 3 3 -3 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 1 -1 -1 1 1 -1 0
1 -2 1 -1 -1 1 1 0 0 -1 -1 0 0 0 2 2 2 2 -1 0 -5 -5 2 2
0 0 0 0 1 0 1 0 0 0 0 0 0 -1 1 0 0 2 0 -1 -1 -2 -1 0
0 0 0 0 1 -1 -1 1 1 1 0 1 0 0 -2 -2 -3 1 -1 -2 4 3 -4 -1
-1 0 0 -1 -1 1 1 -1 -1 -1 0 0 1 0 2 2 2 -1 0 2 -3 -3 4 1
-2 0 0-1 1 0 1 0 1 0 1 0 1-1 1 0-1 1-1 0 0-2-2
0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 -1 -1 1 -1 -1 1 0 -1 0
0 -1 0 -1 0 0 1 1 0 -1 0 1 1 -1 1 0 0 2 -1 -1 -1 -2 -2 0
-1 -1 0 -1 0 -1 -1 0 1 0 0 1 1 -2 0 -1 -1 1 -2 -1 1 -1 -3 -1
-2 1 -1 0 1 -1 -1 0 0 0 1 1 1 -1 0 -1 -1 -1 0 0 3 1 -2 -1
1 -1 1 -1 -1 1 1 0 0 -1 -1 0 0 1 1 1 1 1 -1 0 -3 -2 2 1
2 1 1 2 0 0 -1 0 0 1 -1 -1 -2 3 -2 -1 -1 -1 1 -1 2 4 1 1
1 -1 0 -1 -1 1 1 -1 -1 -1 -1 0 0 0 2 2 3 0 0 1 -5 -5 4 2
24
0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 0 0 0 1 1
1 0 1 0 0 0 0 0 0 1 0 -1 -1 1 -1 0 0 0 0 0 -1 0 1 0
0 0 0 -1 0 0 0 0 0 -1 0 1 1 -1 1 0 1 1 0 -1 0 -3 0 1
-1 0 0 1-1-1 1 1 1 0-1-2-2 1-1-1 3-4-1
0 0 0 0 -1 0 1 0 -1 -1 0 0 0 0 1 2 3 -1 2 2 -2 -3 4 1
-2 1 -2 -1 1 -1 -2 1 1 0 2 1 2 -2 -1 -2 -3 0 -1 -1 5 3 -6 -2
0 0 -1 0 1 0 -1 2 1 0 0 1 1 0 -1 -2 -2 1 -1 -2 3 3 -5 -1
0 -1 0 0 0 0 -1 0 1 1 0 -1 0 0 -1 0 -1 0 -1 0 0 1 -1 -1
-1 -1 0 -1 1 0 1 0 0 0 1 0 0 -1 1 0 0 2 -1 0 -2 -2 -1 0
0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 1 -1 0
-2 -1 0 0 1 -1 0 0 1 1 1 0 0 -2 0 -1 -2 2 -2 -1 1 1 -4 -1
0 0 1 1 -1 0 1 -1 -1 0 -1 0 -1 1 1 1 2 -1 0 1 -2 -1 4 2
1 0 1 0 -1 1 1 0 -1 -1 -1 0 -1 1 1 2 3 0 1 1 -3 -3 4 2
-2 0 -1 0 1 -1 -1 1 1 1 1 1 1 -1 -1 -2 -4 0 -2 -1 5 5 -6 -2
0 0 0 1 0 -1 -1 -1 0 1 0 0 -1 0 -1 -1 -1 -1 0 0 2 2 0 0
0 0 1 0 -1 0 2 -1 -1 -1 0 0 0 -1 2 1 3 0 1 1 -3 -4 4 1
-1 0 -1 0 0 0 0 0 1 0 0 0 1 -1 1 0 -1 0 0 0 1 1 -2 -1
0 0 1 0 -1 0 1 -1 -1 0 0 -1 -1 0 1 1 1 0 0 1 -2 -1 3 1
2 0 1 0 -1 1 1 -1 -1 -1 -2 0 -1 2 1 1 2 0 0 0 -3 -2 4 2
0 1-1 0 1 0-1 1 0 1 0 0 0 0-1-1-1 0 1-1 3 2-2 0
-2 0 -2 -1 1 -1 -1 1 1 0 2 1 2 -3 0 -2 -3 1 -1 -1 4 2 -6 -2
2 0 2 1 -2 1 2 -2 -2 -1 -2 -1 -2 2 2 3 5 -1 2 2 -6 -5 9 3
0 -1 1 0 -1 0 1 -1 -1 0 0 -1 -1 0 1 2 2 0 0 2 -4 -3 4 1
1 0 0 -1 0 1 1 0 -1 -1 0 0 0 0 1 1 2 1 1 0 -3 -4 2 1
24
1 0 0 1 0 0 0 0 0 1 0 -1 -1 1 -1 -1 -1 0 0 -1 1 3 -1 0
0 0 1 1 0 0 0 0 0 0 0 -1 -1 1 0 0 0 0 0 0 0 1 1 0
2 0 1 1 0 0 0 0 0 1 -1 -1 -1 2 -2 -1 0 0 0 -1 0 2 1 0
-1 -1 1 0 0 -1 0 0 1 1 0 0 0 -1 0 -1 -2 1 -2 -1 1 1 -2 -1
0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 -1
2 0 1 1 -1 1 0 0 -1 0 -2 0 -1 2 0 1 2 -1 1 0 -2 -1 4 2
2-1 0 1 0 1 0 1 0-2 0-1 2 0 1 1 0 1 0-2-1 2 2
0 1 0 1 0 0 -1 1 1 0 0 0 0 1 -1 -1 -1 -1 0 -1 3 4 -2 -1
0 1 0 1 0 0 0 0 -1 0 0 0 -1 2 0 0 0 -2 1 1 1 2 2 1
-1 0 -1 -1 0 0 -1 1 0 -1 1 1 1 -1 0 0 0 0 0 0 1 0 -2 0
0 0 1 0 -1 0 1 -1 -1 0 0 0 -1 1 1 1 1 -1 0 1 -2 -1 3 1
0 0 1 -1 0 -1 1 -1 -1 0 1 0 -1 -1 0 0 0 1 0 0 -1 -2 1 0
1 -1 1 -1 0 0 1 0 0 0 0 -1 0 0 0 0 0 2 -1 -1 -2 -2 0 0
0 0 0 -1 0 0 0 0 -1 -1 0 1 0 0 1 1 1 0 0 1 -2 -3 1 1
0 1 -1 0 0 0 -1 0 0 0 1 0 0 0 -1 -1 -1 -1 0 0 2 3 -2 -1
-1 -1 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 1 -1 0 -1 -1 0 0
-2 0 -1 -1 0 0 0 0 0 -1 1 1 1 -2 1 0 1 0 0 1 0 -1 -1 0
-1 0 0-1 0 0 0 0 1 0-1 0 0-1 1-1 0 0-2-1
1 0 0 -1 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 -1 -1 0 0
2 0 0 1 0 0 -1 1 0 1 -1 -1 -1 2 -2 -1 -1 0 0 -1 1 3 -1 0
0 0 -1 1 0 1 -1 1 0 0 -1 1 0 1 0 0 0 -1 0 0 1 2 -1 1
0 0 0 -1 0 0 1 -1 0 0 1 -1 0 -1 0 0 0 1 0 0 -1 -1 0 -1
-1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 -1 0 0 2 2 -1 -1
1 -1 0 0 0 1 1 0 0 0 -1 -1 0 1 1 1 1 1 0 0 -3 -2 2 1
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属性
积分=1
模块=11
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笔记
2.J2 Y SL(2,5)的不变形式空间
包含水蛭晶格。在这个空间中,可以构建一个
水平模格序列(n^2+5n+5)和最小模格序列2(2n+4)
n=0,1,2,。。。其中密度趋向于
水蛭格子。
对于n=0,我们发现了众所周知的极值5-模格
对于n=1,我们得到这个格子。
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最后一行
Haftungsausschluss/免责声明
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