晶格A_11.otimes(3)。A_2类
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日星期五13:12:24 CEST
索引文件|缩写
此文件的内容
名称
尺寸
克
分流器
最小_形式
亲吻_编号
HERMITE_NUMBER公司
组订单(_O)
组_名称
发电机组
属性
参考文献
笔记
最后一行
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名称
A_11.otimes(3)。A_2类
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尺寸
20
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克
20 0
4
-2 4
-2 0 4
-2 2 0 4
1 -2 -1 -2 4
1 1 -2 -1 0 4
1 -2 -1 0 0 -1 4
-2 1 1 0 -1 0 -1 4
-2 2 1 2 -2 -1 0 0 4
-1 -1 2 -1 1 -2 0 0 1 4
-2 0 2 1 -1 -2 1 0 2 1 4
1 1 -2 -1 0 2 -1 0 0 -1 -1 4
-2 1 2 1 -2 0 -1 1 1 0 1 -1 4
-2 2 2 1 -1 -1 -1 0 2 1 1 -1 1 4
-2 2 1 0 0 0 -2 2 0 0 0 0 1 2 4
-2 2 1 2 -2 -1 -1 2 1 0 0 0 1 1 1 4
1 -2 1 -1 0 0 0 -1 -1 0 1 0 1 -1 -1 -1 4
-2 1 1 0 -1 1 0 2 0 0 1 0 1 0 1 1 0 4
-1 -1 1 1 -1 -2 1 1 0 0 2 -1 1 0 0 1 1 0 4
1 -2 -1 0 0 0 2 0 -1 0 0 -1 0 -2 -2 -1 1 0 1 4
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分流器
11^2
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最小_形式
4
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亲吻_编号
12540
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HERMITE_NUMBER公司
3.14717
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组订单(_O)
2^5 * 3^2 * 5 * 11
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组_名称
(L_2(11)音符D_12)。2
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发电机组
三
20 20
-1 0-3-1-1-1 1-1 0 1-1 0 1-1 0 1 0 1 0-1-1
1-1 2 1 1 1 1 1 1 0 0 1 0-1 2 1-1 0 0 1
2-1 0 1 1 0-1 0 1 0 0 1 0 0 0 0-1 1 1 0
-1 1 2 0 0 0 1 -1 1 0 -2 1 -1 -1 1 -1 0 0 1 1
0 2 0 0 0 1 1 1 -1 1 0 -1 0 0 -1 0 1 -1 0 -1
0 -1 1 1 0 1 1 0 -1 0 1 1 0 0 1 1 0 -1 -1 0
-1 2 -1 -1 0 -1 0 1 -1 0 0 0 0 1 -2 -1 1 0 0 0
-2 -3 -1 -1 -2 -1 -1 -1 0 -1 0 0 0 0 0 0 -1 0 -1 0
2 1 3 1 2 1 1 0 1 0 0 1 0 -1 1 0 -1 0 1 1
1 1 1 0 1 1 0 0 1 0 0 -1 0 -1 0 0 0 0 1 0
3 1 2 1 2 0 0 0 1 0 0 1 1 0 0 0 -1 1 1 1
1 -1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 -1 0
1 -1 2 1 1 0 0 -1 1 -1 -1 1 0 0 1 0 -1 1 1 1
1 0 1 0 1 1 0 -1 1 0 0 0 0 -1 1 1 -1 0 1 1
-1 -1 1 -1 0 0 0 -2 1 -1 -1 0 0 -1 1 1 -1 0 0 1
0 -3 -1 0 -1 0 -1 -1 1 0 0 0 0 0 1 0 -1 1 0 0
0 0 0 -1 0 -1 -1 -1 1 -1 -1 0 0 0 0 0 0 1 1 0
1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0
0 -2 -1 -1 -1 -1 -2 -1 1 -1 0 0 0 1 0 0 -1 1 0 1
-2 1 0 -1 -1 -1 0 0 0 -1 -1 0 -1 0 -1 -1 1 0 0 0
20 20
1 -1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 -1 0 0 1
-1 1 -2 -1 -1 -2 0 0 0 0 -1 -1 0 0 -1 -1 1 1 0 -1
-1 -1 -1 -1 -1 -1 -1 0 0 -1 0 0 0 1 -1 0 0 0 -1 0
0 0 1 0 0 0 1 -1 1 0 -1 0 0 -1 1 0 0 0 0 0
-3 0 -1 -2 -2 0 -1 -1 -1 0 0 -1 -1 -1 0 0 0 -1 0 0
0 1 0 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 0 1 1 0
4 -2 1 3 2 2 0 1 0 1 2 1 1 1 1 1 -1 0 0 0
1 2 0 1 1 0 1 2 -1 1 0 0 1 1 -2 -1 1 0 0 -1
-2 0 -1 -2 -1 -1 0 -1 1 -1 -1 -1 -1 0 0 0 1 0 0 0
-4 0 -2 -3 -2 -1 -1 -1 0 -1 -1 -1 -1 0 -1 0 1 -1 0 0
1 0 1 0 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0
-1 2 1 0 0 0 1 0 0 0 -1 0 -1 -1 0 -1 1 0 1 0
3 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0
-1 -1 -3 -1 -2 -1 -1 0 -1 0 1 -1 0 1 -1 0 0 0 -1 -1
0 1 -3 0 -1 -1 0 2 -2 1 1 -1 1 1 -2 -1 1 0 -1 -2
0 1 0 1 0 0 1 1 0 1 -1 0 0 0 -1 -1 1 0 0 -1
1 -1 2 1 1 1 0 0 1 -1 0 1 0 0 1 0 -1 0 0 1
1-1-1 1 0-1 1 0 0 0 1 1 1-1 0 1 0-1
4 2 3 3 2 2 0 1 1 1 1 0 0 0 0-1 0 0 0
3 0 3 2 3 2 1 0 1 0 1 1 0 1 1 1 1-1 0 1 1
20 20
-1 1 0 0 0 0 1 1 0 0 -1 0 0 0 -1 -1 1 -1 0 -1
0 -1 1 0 0 -1 -1 -1 0 -1 0 1 0 0 0 0 -1 1 0 1
-1 1 1 -1 0 0 0 -1 1 0 -1 0 -1 -1 1 0 0 0 1 1
0 -2 -1 -1 -1 -1 -2 -1 0 -1 1 0 0 1 0 1 -1 1 -1 1
0 1 0 1 0 1 2 1 -1 1 0 0 0 0 0 0 1 -1 0 -1
3 0 2 2 2 1 1 1 0 0 1 1 1 0 0 0 -1 0 0 0
-1 1 -3 -2 -1 -1 -1 0 0 0 0 -2 0 0 -1 0 1 0 0 -1
2 -2 0 2 0 1 -1 0 0 1 1 0 0 0 1 0 -1 1 0 0
0 0 0 -1 1 -1 -1 -1 1 -1 0 0 0 0 0 1 0 1 0 1
0 2 0 0 1 0 1 0 0 1 -1 0 0 0 0 0 1 0 1 0
0 0 -1 -1 0 0 -1 0 0 0 1 -1 0 0 0 1 0 0 0 0
2 0 2 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0
0 -1 0 -1 0 -1 -1 -1 1 -1 0 0 0 0 1 0 -1 1 0 1
-4 0 -1 -3 -2 -2 -1 -2 0 -1 -1 0 -1 -1 0 0 0 0 0 1
-3 0 0 -1 -2 -1 0 -1 -1 0 -1 0 -1 -1 0 -1 0 0 0 0
1 -1 1 1 0 0 -1 -1 0 0 0 1 0 0 1 0 -1 1 0 1
0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0
4 1 1 2 2 1 0 1 0 1 1 0 1 0 0 0 -1 1 1 0
-1 -3 -2 -1 -2 0 -2 -1 0 0 1 -1 0 0 1 1 -1 0 -1 0
2 -1 -3 1 0 0 -1 2 -1 1 2 -1 1 2 -1 0 0 0 -1 -1
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属性
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参考文献
T.Shioda,Mordell-Weil格子和球形填料,
阿默尔。数学杂志。113 (1991), 931-948.
W.Plesken,G.Nebe,有限有理矩阵群。
AMS-备忘录第556号,第116卷(1995年),第50页。
G.Nebe,一些循环四元数格,J.Alg。199 (1998), 472-498.
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笔记
Delta6型环四元离子晶格
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最后一行
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