格子LAMBDA(F)
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日星期五13:17:37
索引文件|缩写
此文件的内容
名称
尺寸
格拉姆
DET公司
最小_形式
MINVECS公司
亲吻_编号
密度
HERMITE_NUMBER公司
组订单(_O)
发电机组
学士_心理学
属性
参考文献
注释
最后一行
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名称
兰巴达(F)
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尺寸
32
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格拉姆
32 0
4
-2 4
-2 0 4
-2 0 2 4
1 -2 1 -1 4
-2 1 2 0 0 4
-2 0 2 2 1 0 4
1 -2 -1 -1 0 -1 -1 4
-2 2 1 0 1 2-1 4
-2 2 0 1 -2 0 0 -1 0 4
-2 0 2 1 1 2 2 0 2 0 4
1 1 0 0 0 -1 -1 -1 0 0 -1 4
-2 0 1 1 1 1 2 -1 1 0 2 -1 4
-2 1 2 1 0 2 1 -1 2 1 2 0 1 4
1 0 -2 -2 0 0 -2 1 -1 0 0 0 -1 0 4
-2 1 1 1 -1 1 1 -1 0 2 1 -1 1 1 -1 4
-2 2 1 0-1 1 0 1 2 0 0 0 1 0 1 1 4
1 -2 1 0 1 1 -1 0 -1 -1 0 0 0 1 0 0 -1 4
-1 0 1 1 1 1 1 -1 1 0 2 0 1 2 1 0 0 1 4
-1 1 -1 -1 -1 0 0 1 0 1 0 -1 0 -1 0 1 1 -2 -1 4
-1 1 -1 0 -2 0 0 1 0 1 0 -1 0 -1 0 1 1 -2 -1 2 4
1 1 -2 -1 -1 -1 -2 0 -1 0 -2 1 -1 -1 1 0 0 0 -1 0 0 4
1 -2 1 0 1 1 -1 0 -1 -1 0 0 0 0 0 -1 -1 2 0 -1 -1 -1 4
-2 1 1 0 0 2 1 -1 1 1 2 -1 1 2 1 1 1 0 2 0 0 -1 0 4
1 -2 1 1 2 0 1 0 0 -2 1 0 0 0 -1 -1 -2 1 1 -1 -2 -1 1 -1 4
1 0 -1 0 0 -1 -1 -1 -1 1 -1 1 -1 -1 0 0 -1 0 0 0 0 0 1 -1 0 4
-2 2 1 1 0 0 2 -2 2 1 1 1 2 1 -1 1 1 -1 1 0 0 0 -1 1 -1 0 4
0 0 1 0 1 1 0 -1 0 0 1 0 0 1 0 1 0 1 1 -1 -2 0 0 1 1 0 0 4
1 1 -2 -2 0 -1 -1 0 0 0 -1 1 -1 -1 1 -1 0 -1 -1 1 0 1 -1 0 -1 1 0 0 4
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0 0 1 0 0 0 0 0 0 1 0 1 -1 0 -1 0 0 0 -1 0 0 -1 1 0 0 1 0 -1 0 1 0 4
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DET公司
1
-
最小_形式
4
-
MINVECS公司
-
亲吻_编号
146880
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密度
-
HERMITE_NUMBER公司
4
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组订单(_O)
2^31 * 3^5 * 5^2 * 7
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发电机组
4
32 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
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3 -1 -3 2 1 5 3 3 4 3 -4 2 1 -2 1 2 -1 0 1 0 0 0 1 0 0 -1 0 1 0 0 0 0
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1 6 0 2 1-3 0-3 2-2 0 1 1 0 1 2-1 0-1 1 0 0 0 0 0 0 0 0 1
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0 -3 0 -1 0 3 0 1 2 3 -2 1 0 -1 0 0 -1 -1 0 -1 0 0 -1 0 1 0 1 0 0 0 0 -1
4 -11 -3 -1 0 13 3 5 10 10 -9 5 2 -4 0 3 -3 -5 3 -2 -1 1 -1 0 0 -1 1 0 0 -1 0 -1
3 0 0 1 1 3 1 2 2 2 -3 1 1 0 1 1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
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10 -16 -5 1 0 24 8 11 18 17 -18 9 5 -8 2 6 -5 -7 5 -3 -1 2 -1 1 1 -1 1 1 1 -1 0 -1
-11 18 6 -1 0 -25 -7 -10 -19 -17 18 -9 -4 7 -2 -7 5 8 -5 3 1 -2 1 0 -1 2 -2 -1 -1 1 -1 0
1 0 -1 0 0 3 2 3 2 3 -2 2 1 -2 0 1 -1 0 0 -1 0 0 1 1 1 0 0 0 0 0 -1 -1
32 32
-36 55 18 -3 -1 -81 -23 -35 -61 -56 60 -29 -15 25 -6 -23 17 27 -18 10 4 -6 2 -2 -4 6 -6 -2 -4 4 -2 2
33 -43 -15 5 2 69 20 32 51 47 -52 24 13 -21 5 20 -15 -22 15 -8 -4 5 -1 3 3 -5 5 2 4 -2 2 -2
21-31-11 2 1 47 13 21 36 33-36 17 9-15 4 14-10-15 10-6-2 3-1 2 4-4 1 2-2 1-1
18 -28 -8 1 0 41 12 18 31 29 -31 15 8 -13 4 12 -9 -14 9 -5 -2 3 -1 1 3 -3 3 1 2 -2 1 -1
-11 16 4 -1 0 -23 -6 -10 -17 -16 16 -8 -4 7 -1 -7 5 9 -6 3 2 -2 0 0 0 2 -1 0 -2 1 -1 1
20 -31 -11 2 1 45 12 19 34 31 -33 16 8 -14 3 13 -9 -15 10 -6 -2 3 -1 1 2 -4 4 1 2 -2 1 -1
22 -39 -13 0 0 55 16 24 43 39 -42 21 10 -18 4 16 -12 -18 12 -7 -3 4 -1 2 4 -4 4 2 2 -2 1 -2
-22 28 12 -4 -2 -47 -15 -22 -35 -32 36 -17 -9 15 -4 -14 10 14 -10 5 3 -3 0 -2 -2 4 -3 -2 -2 1 -1 1
30 -44 -14 2 1 67 19 31 51 47 -52 24 13 -21 5 20 -15 -22 15 -9 -3 5 -1 3 5 -5 5 2 4 -2 2 -2
17 -28 -11 2 1 41 12 17 31 28 -29 15 6 -13 2 12 -9 -14 10 -5 -3 3 0 0 0 -4 2 1 2 -2 1 -1
15 -32 -10 -1 0 41 10 16 32 29 -30 15 6 -13 2 12 -9 -15 10 -6 -2 3 -1 0 2 -4 4 1 2 -2 1 -1
-1 9 2 3 1 -8 -2 -2 -7 -7 5 -4 -1 3 1 -2 2 4 -3 2 0 -1 0 1 0 1 0 0 0 1 0 1
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20 -27 -10 3 1 42 12 19 32 29 -31 15 8 -13 3 12 -9 -13 9 -5 -2 3 -1 2 2 -3 3 1 2 -2 1 -1
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9 -14 -6 1 1 22 6 10 17 15 -17 8 4 -7 2 7 -5 -7 5 -3 -1 1 0 0 1 -2 2 1 1 -1 1 0
6 -15 -3 -1 -1 16 3 5 13 11 -11 6 2 -4 0 4 -3 -7 4 -2 -1 2 -1 0 0 -1 1 0 1 -1 1 -1
6 -15 -3 -1 -1 16 3 5 13 11 -10 6 2 -5 0 4 -3 -7 4 -2 -1 2 -1 0 0 -1 1 0 1 -1 1 -1
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32 32
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-1 0 0 0 0 -2 -1 -2 -2 -2 3 -1 -1 1 -1 -1 1 0 0 0 0 0 0 -1 -1 0 0 0 0 0 0 0
3 -4 -4 1 1 7 2 3 6 5 -5 3 1 -3 0 3 -1 -2 2 -1 -1 0 1 0 0 -1 0 0 0 0 0 0
-1 3 0 0 0 -2 1 0 -1 -1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 -1 0 0 0 0 0
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10 -14 -7 2 1 23 7 11 18 16 -18 9 4 -8 2 7 -5 -6 4 -3 -1 1 0 2 2 -2 2 1 1 0 0 -1
16-24-7 1 0 36 11 16 27 25-27 13 7-11 3 10-8-12 8-4-2 3-1 1 2-2 2 2-1 1 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
6 -7 -3 1 0 12 5 6 9 8 -9 5 3 -4 1 3 -2 -3 2 -1 -1 1 0 1 0 0 0 1 0 0 0 0
32 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
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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
1 0 0 1 1 2 1 2 2 2 -3 1 1 -1 1 1 -1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
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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 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 0 0-1-1-3-2-2-2 3-1-1 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 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 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 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 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 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 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 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 0 0 1 0 0 0 0 0 0 0 0 0
-3 -1 1 -2 -2 -3 -1 -3 -2 -2 3 -1 -1 1 0 -1 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
4 1 -1 3 2 4 2 3 2 2 -3 1 1 -1 1 1 -1 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 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 0 0 1 0 0 0 0 0
-6 10 5-1 0-15-5-7-12-10 12-6-3 5-1-4 3 4-3 1 1-1 0-1 1 0 0 0
-8 5 1 -2 -1 -12 -3 -7 -8 -8 10 -3 -3 3 -1 -4 3 4 -3 1 1 -1 0 -1 -1 1 -1 0 -1 0 -1 0
5 -11 -4 0 0 13 3 4 10 9 -8 5 2 -4 0 3 -2 -5 3 -1 -1 1 -1 0 0 -1 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 0 0 0 0 0 1 0
4 -12 -4 -1 -1 14 4 5 11 10 -9 6 1 -5 0 4 -3 -5 3 -2 -2 1 0 0 0 -1 1 0 0 0 0 -1
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学士_心理学
1 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
x ^5544*120 x ^4968*1120(69120x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
x^5544*1240(4320x)
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属性
单一模块=1
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参考文献
H.Koch、B.B.Venkov、,
\“Uber ganzzahlige unimodulare euklidische记事本。
期刊f“ur die reine und angewandte Mathematik 398(1989),144-168
H.Koch,B.B.Venkov,“Uber gerade unimodulare”
Gitter der Dimension 32,III型
马塞姆。纳克里斯。152 (1991), 191-213
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注释
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最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布