格D1（1+i）^8
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日星期五13:11:36 CEST
索引文件|缩写
此文件的内容
名称
尺寸
亲吻_编号
格拉姆
除数（初等除数）
最小_形式
HERMITE_NUMBER公司
HERMITIAN_集团_订单
HERMITIAN_集团_发电机
HERMITIAN_结构
属性
参考文献
笔记
最后一行
-
名称
D1（1+i）^8
-
尺寸
32
-
亲吻_编号
192
-
格拉姆
32 32
4 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 1 0 1 0 2 1 1 1
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2 2 4 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 2 0 1 1 1 2
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1 1 2 0 0 0 0 0 -1 -1 0 3 0 0 3 0 2 3 2 2 -2 3 3 2 2 -2 6 2 3 2 1 2
0 0 0 2 0 -1 0 0 0 -2 -2 3 1 -1 3 1 3 3 2 3 -1 2 2 3 2 -2 2 6 2 2 2 2
2 1 1 0 1 0 0 0 1 0 -2 3 0 -2 2 0 2 2 3 2 -2 3 2 2 3 -1 3 2 6 2 2 2
1 0 1 0 1 -1 0 0 0 -1 -2 3 -1 -1 1 -1 3 0 1 3 -1 2 2 2 2 -1 2 2 2 6 2 2
1 2 1 0 1 0 0 0 0 -1 -2 3 0 -2 1 0 2 1 2 1 0 1 1 2 2 -1 1 2 2 2 6 2
1 1 2 -1 0 0 0 -1 0 0 -2 3 0 -1 2 0 2 2 2 2 -1 2 2 3 3 -1 2 2 2 2 2 6
-
除数（初等除数）
2016年2月
-
最小_形式
4
-
HERMITE_NUMBER公司
2.83
-
HERMITIAN_集团_订单
2^19 * 3^2
-
HERMITIAN_集团_发电机
三
32 32
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0-3 4-1 2 1 3-2 1 2-1 2 0 1-1-2 1-2 2-1 1-1 2-3-2 0 2-1-2 0-2
-2 5 0 -5 -8 -2 3 -6 -33 -8 20 1 -3 5 2 9 9 19 -13 -7 -10 8 -5 -17 7 0 -31 -1 20 12 2 3
3 -9 5 3 10 4 0 3 36 12 -22 2 3 -3 -2 -12 -8 -22 16 6 9 -8 4 20 -12 -2 32 4 -22 -14 -2 -6
-2 4 0 -3 -6 -2 3 -5 -30 -9 17 0 -3 4 1 8 8 18 -12 -6 -9 8 -5 -16 6 -1 -28 -2 18 10 2 4
-3 8 -3 -4 -10 -3 1 -4 -38 -11 24 -2 -4 4 2 10 9 23 -16 -7 -11 9 -4 -20 11 2 -35 -2 23 14 3 5
-1 0 4 -2 -2 -1 3 -4 -14 -3 8 1 -2 3 0 3 5 8 -4 -4 -6 5 -3 -6 1 -2 -15 0 8 4 1 0
-3 7 -2 -5 -9 -2 2 -5 -34 -9 22 -1 -2 4 3 9 8 20 -15 -6 -10 8 -4 -18 9 2 -32 -1 21 13 3 4
0 -1 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
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-1-1 5-3-1 0 4-5-12-1 6 3-1 4 0 2 5 5-3-3-5 4-3-5-1-3-13 1 7 2 1-1
-2 3 1 -4 -5 -1 3 -5 -25 -6 15 1 -2 4 1 6 7 14 -10 -5 -8 7 -4 -13 5 0 -24 0 15 8 2 2
-2 3 0 -3 -6 -2 2 -4 -24 -6 14 1 -2 4 1 7 6 13 -10 -5 -7 6 -3 -13 5 0 -22 -1 15 8 2 3
-2 -1 4 -3 0 1 3 -4 -8 0 4 1 0 2 1 1 3 3 -3 -2 -3 3 -2 -4 -1 -1 -8 2 5 2 1 -1
2 -5 6 0 4 1 1 1 15 7 -8 1 0 -1 -1 -6 -3 -9 9 0 1 -2 1 11 -5 -1 11 4 -11 -6 -1 -5
32 32
-3 5 -3 -3 -6 -1 0 -3 -23 -7 14 0 0 3 2 7 6 12 -12 -2 -5 4 -2 -14 6 1 -20 -2 16 8 2 4
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-2 6 -3 -3 -7 -2 0 -3 -26 -8 17 -2 -2 2 2 7 6 16 -12 -4 -7 6 -2 -14 8 2 -24 -2 16 10 2 4
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0 -2 3 -1 2 1 1 -1 3 2 -2 0 0 0 0 -2 0 -2 2 0 0 0 0 2 -2 0 2 2 -2 -2 0 -2
-2 6 -2 -4 -8 -2 2 -5 -33 -9 20 0 -3 3 2 9 8 20 -14 -6 -8 8 -4 -18 8 1 -30 -2 20 12 2 4
3 -9 5 3 10 4 0 3 36 12 -22 2 3 -3 -2 -12 -8 -22 16 6 9 -8 4 20 -12 -2 32 4 -22 -14 -2 -6
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
-1 4 -2 -2 -5 -2 0 -2 -18 -6 11 -1 -1 1 1 6 4 11 -8 -3 -4 4 -2 -10 6 1 -16 -2 11 7 1 3
-1 4 -4 -1 -3 0 -2 1 -5 -2 5 -2 0 -1 2 2 0 4 -4 0 0 0 0 -4 4 3 -4 0 4 4 0 2
0 1 -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
1 1 -3 2 0 -1 -3 4 10 1 -5 -2 1 -3 0 -1 -4 -5 3 2 4 -3 2 5 1 2 10 -1 -6 -2 -1 0
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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
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0 2 -2 -1 -3 -1 -1 0 -5 -1 4 -1 0 0 1 2 0 3 -3 -1 -1 1 0 -3 3 2 -4 0 3 3 1 1
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0 -3 2 0 2 1 0 0 7 3 -5 2 2 0 0 -2 -1 -7 2 2 3 -2 1 3 -3 -1 7 1 -3 -4 0 -1
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1 -4 1 2 4 1 -1 2 18 5 -12 2 3 -1 -1 -4 -4 -12 7 4 6 -5 2 9 -5 -1 17 0 -10 -7 -1 -2
32 32
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1 -2 3 -1 1 1 1 -1 2 3 -1 2 0 1 0 -2 0 -2 2 0 -1 0 0 2 -2 -1 0 2 -2 -1 0 -2
2 -5 4 2 5 1 0 2 19 7 -12 2 1 -1 -2 -6 -4 -12 10 2 4 -4 2 12 -6 -2 16 2 -12 -8 -1 -4
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
-
HERMITIAN_结构
4
32 32
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32 32
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
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3 -11 8 2 11 4 1 2 39 15 -24 4 4 -2 -2 -12 -8 -26 18 6 9 -8 4 22 -14 -3 34 6 -24 -16 -2 -8
-3 5 -3 -3 -6 -1 1 -4 -23 -7 14 0 0 3 2 7 6 12 -12 -2 -5 4 -2 -14 6 1 -20 -2 16 8 2 4
-2 6 -3 -3 -7 -2 1 -3 -26 -8 17 -2 -2 2 2 7 6 16 -12 -4 -7 6 -2 -14 8 2 -24 -2 16 10 2 4
2 -4 0 3 6 2 -3 5 30 9 -17 0 3 -4 0 -8 -8 -18 12 6 9 -8 4 16 -6 1 28 2 -18 -10 -2 -4
-1 3 -1 -3 -4 0 1 -3 -17 -4 11 0 -1 2 2 4 4 10 -8 -2 -5 4 -2 -10 4 1 -16 0 10 6 2 2
2-6 2 4 8 2-2 5 33 9-19 0 3-4-2-9-8-20 14 6 8-8 4 18-8-1 30 2-20 12-2-4
0 0 0 0 0 0 0 0 0 0 -1 0 0 -1 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 -1 0
2 -8 3 5 9 2 -1 4 34 10 -22 2 3 -3 -2 -9 -8 -22 14 6 10 -8 4 18 -10 -2 32 2 -20 -14 -2 -4
0 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
2 -6 4 2 6 1 1 1 20 7 -14 2 1 -2 -2 -6 -4 -13 10 2 6 -4 2 12 -7 -2 19 2 -13 -9 -2 -4
0 -2 3 -1 1 0 1 -1 3 3 -2 2 1 1 0 -1 0 -4 2 0 0 0 0 2 -2 -1 2 2 -2 -2 0 -2
-1 1 1 -2 -1 0 2 -3 -10 -2 5 0 -1 1 1 2 3 6 -4 -2 -2 3 -2 -5 1 0 -9 0 6 3 0 1
0 2 -1 -1 -3 -1 0 -1 -9 -2 5 0 -1 0 1 3 2 5 -4 -2 -1 2 -1 -5 3 1 -7 0 5 3 0 1
-1 0 -1 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 -1 0 2 -1 0 -1 0 0 2 0 1 0 0 1
-5 13 -5 -8 -16 -4 3 -9 -65 -19 39 -2 -5 7 4 18 16 39 -28 -11 -17 15 -8 -36 17 2 -59 -4 40 24 4 9
2 -6 2 4 8 2 -2 5 33 9 -19 0 3 -3 -2 -9 -8 -20 14 6 8 -8 4 18 -8 -1 30 2 -20 -12 -2 -4
1 -4 5 -1 4 2 2 -1 10 6 -6 1 0 -1 0 -5 -2 -6 6 0 2 -1 0 7 -5 -1 8 4 -7 -4 -1 -4
0 0 1 -1 -1 -1 1 -2 -6 -1 3 0 -1 0 0 2 2 4 -2 -2 -1 2 -1 -3 1 0 -5 0 3 2 0 0
1 -2 4 -1 1 0 2 -2 -1 2 -1 2 -1 1 -1 -1 1 0 2 -2 -1 2 -1 1 -2 -2 -2 2 -1 -1 -1 -2
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32 32
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32 32
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0 -2 1 1 3 1 0 1 9 2 -6 0 1 -1 -1 -3 -2 -5 4 2 3 -2 1 5 -3 -1 8 0 -5 -4 -1 -1
2 -6 2 4 8 2 -2 5 33 9 -20 0 3 -4 -2 -9 -8 -20 14 6 10 -8 4 18 -8 -1 31 2 -20 -12 -3 -4
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属性
模块化=1
单模埃尔米特=1
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参考文献
Bachoc，Nebe：两类32维晶格的分类
超过赫尔维茨命令
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笔记
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最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布