格子B45
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日星期五13:10:49 CEST
索引文件|缩写
此文件的内容
名称
尺寸
DET公司
BASIS(岩浆)
GRAM(岩浆中)
最小_形式
属性
评论
最后一行
-
名称
B45型
-
尺寸
45
-
DET公司
1
-
基底(岩浆中)
B45:=LatticeWithBasis(45,\[IntegerRing()|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, -1, 0, -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, 1, 0, 0, 2, 0, 1, 1, -3, 5, 0, 3, 1, -1, 0, -1, 0, -1, 2, 0,
-1, -1, 1, -1, -1, 1, 0, -1, 0, -1, 1, -1, -1, -1, -1, -1, 0, -2, 0, 1, 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 1, -1,
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, 2, -1, 1, 0, -1, 0, -3, -1, 1, 0, -1, -1, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0,
-1, 0, 0, 1, 1, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,
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, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 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, 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, 0, 0, 0, -3, -2, 0, 1, 0, -1, 1, -2, 0, -4, 0, 3, 1, -1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 2, -2, 0, 1, 1, 0, 0,
-2, 0, 0, 0, 1, 2, -1, -1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, -1, 0, 1, -1, 2, 1, 3, 0, -2, -1, 1, 1, 0, 1, 0, 1,
0, 0, 0, 0, 0, -1, 2, 0, -1, -1, 0, 0, 2, 0, 1, 0, -1, -2, 1, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,
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, -2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 2, 1, 1, -3, 4, 0, 2, 1, -5, 2, 1, -1, -4, 3, 0, 5, -3, 1, -2, -1, -1, -1, 2, 0,
-3, 0, 0, -2, -2, -1, -1, 0, -1, 0, 1, -1, -1, -2, 0, -1, 2, 0, 2, 1, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, -2, -1, 1, 1, 2, 2,
0, 0, -1, 2, 1, 3, -1, 0, 0, 0, -2, 1, 2, -2, 1, 0, -1, -1, -2, 0, 1, 0, 1, 0, 0, -2, 0, -1, 0, -1, 2, -2, 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, 0, 0, 0, 0, 0,
0, -2, 0, 0, 1, -1, 1, 0, -1, 1, -2, 0, 1, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 0, 1, 1,
1, 0, -1, 0, 0, 1, 1, 0, 1, 3, 0, 0, -1, 0, 1, -1, 1, 0, 2, 0, -1, 1, 1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0,
0, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 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, 2, 0, 1, 1, 1, 1, 0, -1, 0, 0, -3, -1, 0, 1, -2, 0, -2, 0,
0, 0, -1, 2, 0, -3, 2, -1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, -1, -1, 4, -1, -1, -2, 1, -2, -1, 0, -2, 5,
0,0,1,2,-2,0,-1,1,1,1,0,0,1,0,4,0,-2,0,0,1,2,0,0,-1,-1,0,2,0,-2,-1,0,-2,-1,0,-2,-7,0,0,
1, 0, -4, 1, 0, 3, -3, 2, 2, -1, -2, 2, 0, 4, -1, -1, -1, 0, -2, 0, 3, -1, -3, 0, 1, 0, -2, -1, -2, 0, 0, 0, 1, 0, -1, -2,
1, -1, 2, 0, 1, 3, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 2, 0, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 0,
-1, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 1, -1, 3, 1, 0, 1, -4, -1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0,
-1, 1, -3, 0, 1, -1, 0, -1, -1, 0, -1, 0, 1, 1, 0, -1, 0, 0, 1, 1, 0, 1, 5, 1, 0, 0, 0, 3, 0, 2, 1, 1, -1, -3, -1, 1, 1,
0, -1, 0, 1, 0, -1, 1, 0, -2, 0, 1, 0, 0, -1, 1, 0, 2, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, -3, 1, 0, -1, 1, -2, 1,
1, 2, 0, 2, -1, 0, 0, 4, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 1, 0, -1, 1, -1, 1, 0, -1, -2, 0, 0, 1, -1, 2, -2, -1,
1, 0, 0, 0, 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, 0, 0, 0, 0,
0,0,0,0,0,1,0,0,0,1,1,0,0,2,-2,-2,0,-2,1,0,0,0,1,0,
1, 0, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 4, -1, 0, -1, 0, 1, 0, 1, -1, 3, 0, -1, 0, 1, 0, 0, -2, 1, 1, 1, 0, 1, 0, -1, 1, 2,
0, -2, -1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -2, -1, 0, -1, 1, 1, 0, -1, 1, 0, 0, 1, -1, 3, -1, -3, 0, 2, 1, 0, -2, 1,
0, 1, 0, 1, 1, -2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 0, 0, 1, 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, -2, 0, 0, 0, 0, -1, 0,
0, -1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,
1, 0, 0, 2, 0, 1, 1, 2, -2, -4, -1, 2, 2, 0, -1, 0, 0, 0, 0, 1, 2, -2, -2, -1, 0, 1, -1, 1, -1, 1, 0, 1, 0, -1, -1, 1, 0,
0, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 1, 0, 1, -1, 0, 1, 1, 4, -5, 1, -1, 0, -1, 4, 0, 2, -2, -1, -2, -1, -1, 1, 1, -1, -4,
0, 3, 0, 0, -1, 0, -1, 1, 1, 0, -1, 1, -2, 1, -1, 5, -1, -1, 3, 5, 0, 0, 0, 0, 5, 0, 0, -1, 1, -2, -2, -1, 1, 0, 0, -3, 2,
1,1,0,2,-1,-3,0,1,0,0,0,2,0,0,0-1,0,1,1,-1,1,-2,0,-1,-2],矩阵环(整数环(),45)!
\[整数环()|4,0,0,1,0,-2,1,-1,-2,-1,1,-1,1,-1,-1,-1,0,0,1,-1,0,1,
0, 1, 2, 1, 1, 1, 1, -2, 2, 1, -1, -2, 1, 2, 0, 4, 0, -1, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, -1, -1, -2, 2, 2, 0, -1, 2, 1,
1, -1, 0, 0, -1, 0, -1, 0, -2, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 0, 0, -1, 0, 0, 5, 0, 1, -1, -1, 0, -1, -2, 0, 0, -1, 0, 0,
0, -2, -1, 1, 0, 0, 0, -2, 1, -2, 1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 1, -1, 0, 5, 0, 0, 0, 0,
1,1,2,0,2,0,1,1,0,-1,2,1,1,0,0,-1,-2,1,1,-1,0,2,0,-1,0,0,-1,1,0,-1,1,0,-1,-1,1,0,0,0,
0, 1, 0, 5, 2, -1, 2, -1, -1, -1, 1, -1, 2, 0, 0, 0, -1, -1, 1, 1, -1, -1, 2, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0,
-2, 0, 1, 0, -1, 0, 0, -2, -1, -1, 0, 2, 5, 0, 2, 2, 2, 0, 0, -1, 2, -2, 2, 1, 0, -1, 2, 2, -2, 1, 2, 3, 0, -1, -1, 1, 2,
2, 0, -1, 0, -2, 0, 0, -2, -1, -2, 1, 2, 0, 1, 1, 1, 0, -1, 0, -1, 0, 5, -2, 0, 1, -1, 0, 1, -1, 1, 0, 2, 1, -1, -2, 0, 1,
2, -1, 1, 2, 0, 1, 0, -1, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 2, 1, -1, 0, 0, 0, 2, 2, -2, 5, -1, 0, 0, 2, -1, 2,
-1, 1, 0, 1, 1, 2, 0, -1, 0, 3, 0, -1, -2, 0, 0, 3, -1, 0, 1, 1, 0, 1, 1, -1, -1, 0, 0, 0, 0, -2, 0, -2, 0, -1, 1, -1, 2,
0, -1, 5, 1, 1, -1, 1, 0, -2, 0, 0, 0, -1, 1, 0, -1, 2, -1, 2, -1, -1, -1, 1, -1, 3, 1, -1, -2, -2, -1, -2, -2, 2, -3, -1,
0, 1, 1, -2, -1, -2, -2, 1, -1, 2, 1, 0, 1, 5, 1, 0, 1, -1, 0, 2, 2, -1, 0, 1, 1, -1, 0, 0, 3, -1, 0, 2, 0, 2, 1, 1, 0,
-2, -3, -2, 0, 0, -1, -2, 2, 1, 1, 0, 2, 1, 0, 0, 2, -1, 0, -1, 0, 1, 1, 5, 0, 1, 1, -2, 1, 0, 0, 1, 2, 0, 1, 0, -1, -1,
-3, -2, -1, 2, 0, -2, 2, 1, 0, -1, -1, 1, 0, -1, 0, -1, 0, 1, -1, 1, -1, 0, 0, 0, 1, 0, 0, 2, -1, 0, 0, 5, -1, 1, 2, -1,
0, 0, 1, 0, -1, 0, 1, -1, -1, 1, 0, 1, -2, 1, -1, 1, 0, -1, 2, -1, 1, 2, 0, 0, -1, -1, 1, -1, -1, 1, 0, -1, 2, -1, -1, 1,
-1, 1, 1, 1, -1, 5, -1, 1, 0, 2, 1, -1, 0, -1, 0, 1, -1, -1, -2, -1, 1, 0, -1, 0, 2, -1, -1, 0, 0, 0, 1, 0, 1, 0, -3, 2,
0, -1, 0, 0, 0, 0, 2, 2, -1, 2, 0, -1, 1, 1, -1, 5, -1, 1, 1, 1, 0, 1, 0, -1, 0, 1, 0, -1, -1, -2, 1, 1, -1, 0, -1, 1, 0,
1, 2, -1, -1, -1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -2, 1, -1, -2, 0, -2, 2, 1, -1, 5, -1, 1, -1, 0, -2, 0, 0, 0, -2, -1, 2,
2, 2, -3, -1, 0, 1, -1, -1, 2, 0, 1, 3, 1, 2, 0, -2, 2, 0, -1, 0, -1, 0, 1, 0, 2, 0, 1, 0, 2, 1, -1, 0, 1, -1, 6, 2, 2, 0,
1,1,1,0,2,3,0,-1,1,1,2,1,-1,2,0,-2,-1,-1,0,2,2,-1,1,3,1,-2,-2,1,0,1,2,0,0,2,
2, 1, 1, 2, 6, 1, -2, -1, 0, 0, 2, -1, 2, -1, 0, 1, 2, 0, 0, 1, -1, 0, 0, -1, 2, 1, -1, -1, 3, -2, -2, 0, 1, 1, 2, -1, 0,
-1, 0, 1, 1, 0, -1, 0, 0, 1, 1, -1, 2, 1, 6, 1, 0, -2, 2, 3, 2, 1, 0, -1, 1, 1, 0, 0, -2, 2, 1, 0, 0, 0, -1, 0, 2, 0, 1,
-1, 2, 0, -1, 2, 1, -1, -1, -1, -1, 1, -1, 0, 1, 1, -1, 0, 0, 0, -2, 1, 6, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 1, -1, -1, 2, 0,
-1, -1, 1, -1, 1, 1, -1, 2, 2, -2, 1, 0, 0, 0, 2, 1, 2, -2, 2, 1, 1, 2, 0, 0, 1, -2, 1, -1, 0, 1, 6, 0, -2, 0, 2, 0, -2,
-1, 0, 1, 2, 0, 1, 1, -1, -1, 0, -1, -1, -1, 0, 0, 1, 2, 0, 2, -1, -1, 0, 1, 1, 2, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1, 0, -2,
0, 0, 6, 1, -1, 0, 2, 2, 0, -1, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, -1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, -1, -2, 1, -1, -1, -1,
1, 0, 0, -1, 0, 1, 0, 2, 1, -2, 1, 6, 1, 0, 0, 1, -1, 0, 1, -2, -1, -1, 2, 0, 0, -1, 0, 1, 0, 2, -1, 1, -1, 0, 0, 0, 1,
-2,1,-1,1,2,0,2,0,0,1,1,0,0,0,2,3,0,0,-1,1,6,0,2,0,0,1,2,-2,2,0,1,0,0,-1,0,2,0,-1,
-1, 0, 1, -1, 0, 1, 1, 0, 2, 2, -1, 3, -1, 0, -1, -1, -1, 1, -2, 2, -1, 2, 1, 2, 0, 0, 0, 6, 1, -1, -1, 0, 1, 2, 1, -2, 2,
1, -2, 1, 0, -1, -1, 1, 1, 2, -1, 0, 1, -2, -1, -2, 0, -1, 3, 1, 0, 2, 3, -1, -1, -1, 0, -1, 3, 2, 1, 0, 0, 2, 0, 2, 1, 6,
1, 1, 1, 1, 1, 3, -1, 1, -1, -3, -2, -1, -2, 1, -3, 2, 3, -1, 2, 2, -1, 0, 1, -1, 0, 0, 2, -1, -1, -1, -3, 1, -2, -1, 2,
0, -1, 0, 0, -2, 2, 1, 0, -1, 1, 6, 1, 1, -3, 0, 1, -2, -1, 1, 1, 1, -1, 0, 1, 1, -1, 2, 0, 2, 1, 0, 0, 0, -2, 0, -1, 0,
-2, -1, 0, -2, 0, -1, -1, 2, -1, 0, -1, 1, -1, 0, -1, 0, -1, 1, 1, 6, 1, -1, -1, 1, 0, 0, -1, 1, -2, 1, 0, 1, 0, 2, 1, 0,
1, 1, 1, -1, -1, 1, -1, -1, 1, 0, -1, 2, -1, 1, 1, -2, 2, 1, 1, 1, 0, 0, -1, 0, 1, 0, 1, 1, 1, 6, -1, 0, 1, 0, 2, -1, 0,
0, -1, 1, 0, 1, 1, -1, 0, 1, 1, 2, 0, -1, 1, 0, 1, 0, 0, 1, 0, 2, -2, 0, 1, -3, 1, 2, 1, -1, 1, 0, 1, 2, 1, 1, -3, -1, -1,
6, -1, 0, 0, 2, 1, -1, 0, 0, -1, -1, -1, 1, 0, -3, 0, 1, -1, -1, 0, -1, 1, 2, -1, 3, -1, 2, 0, 1, -1, 1, -1, 2, 0, 0, 1,
2, 0, -2, -2, 2, 1, 0, -1, 0, -1, 6, -1, -1, 1, 0, -2, 0, 0, -1, -2, -1, 1, 2, 0, 0, 3, -2, 0, 0, 0, 0, 2, 1, -1, 3, 1,
-2, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, 2, 1, 3, 1, 1, 1, 0, -1, 6, -1, 0, -2, -2, -1, -2, -1, 3, -2, 1, 1, 0, 2, -1, 0,
-2, 0, 2, 0, 0, -1, 0, 1, 1, 2, 1, 2, 0, 1, -1, 1, -2, -1, 1, 1, -1, 0, -2, -1, -2, 0, 0, 0, -1, -1, 6, -1, -1, 1, -1, 1,
1, -1, 0, 0, -3, 3, -1, 0, 1, 1, 0, 0, -1, -1, -1, 1, -1, 0, 1, 0, -1, -1, -1, 2, -1, 2, 2, 1, -1, 2, 1, 2, 1, -1, 0, 2,
2, 1, 0, -1, 6, 0, -1, -1, -1, 0, 0, 1, 0, 1, -1, 0, 2, 2, 0, 1, -1, 0, 0, 1, 1, -2, -2, 0, -1, -1, 1, -1, 0, 0, 1, 0, -1,
1, 0, 0, 1, -1, 1, -1, -1, 1, 0, -2, -1, 0, 6, 1, 3, 2, -1, -1, 2, 0, 0, -2, 0, 2, 1, 0, 1, 0, 1, -2, 0, 0, -2, -3, -1, 2,
0、0、2、-2、0、0、-1、-1、-1、0、0、-2、-3、1、1、0、-1、-2、-2、1、-1、1、6、1、0、2、0、2、-1、-3、0、-1、-2、1、0、1、,
0, 1, 0, 0, 1, -1, -2, -1, -1, 0, 1, 0, -1, -1, 0, -1, 0, 1, -1, -1, 1, -2, 1, -2, 0, 0, 0, -1, -1, -1, 3, 1, 6, -1, 0, 0,
2, -2, -1, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0, 1, -2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, -2,
1, -1, 2, 0, -1, 6, 0, -1, 1, 2, 0, -1, -1, 1, 1, -1, 1, 1, 0, -2, 1, -1, -2, 0, 0, 2, 1, -1, 3, -1, 1, -1, -1, -1, -1, 1,
0, -1, -2, 0, 0, 1, -1, -1, -1, 1, 0, -1, 2, 0, 0, 6, 0, 2, -1, -3, 1, -1, -1, -2, 1, 1, 0, -2, -1, 0, -1, 2, -1, -1, 0,
0, -1, 1, -1, -1, 0, 1, -1, -1, 0, 2, -1, 1, 1, 1, 0, -1, -2, 3, -1, 0, -1, 0, 0, -1, 0, 6, -1, -2, 0, 1, 0, -3, 2, 1, 1,
0, 0, -2, 0, 0, -3, -2, 0, 0, 1, -1, 2, 0, -1, 2, 1, 0, 0, 2, 0, 1, -3, 1, 0, 1, -1, -1, -2, 0, 1, 2, 2, 2, 1, 2, -1, 7,
-1, -1, 2, 0, 0, 1, -1, -1, -1, 1, 1, 1, 0, -1, 2, -1, -1, 0, 0, 0, 2, 3, 0, -1, 0, 0, -1, -1, 1, 2, -1, 2, 1, 1, 1, 1, 0,
0, 0, -1, -2, 2, -1, -2, -1, 7, 1, -3, 1, 3, -1, 1, 0, -1, 0, 2, 0, 0, 0, 1, 0, -1, -3, 1, -2, 2, -2, 1, 2, 1, 2, 1, -1,
2, 3, 2, 1, -1, 0, 2, 1, -3, 1, 0, -3, -1, 0, -3, 0, -1, 1, 7, -1, 3, 3, -2, 0, 0, 1, -1, 0, -1, 0, 1, 1, 1, 1, 2, -1, 2,
-1, -2, -1, 2, 2, 1, -1, 0, -1, -1, 0, 0, 0, -3, 0, 0, 3, -1, -2, 0, 0, -1, 1, 1, 2, -3, -1, 7, -1, -1, 1, 0, -1, 0, 0, 1,
2, -2, 1, 0, -1, -1, 0, 1, 0, 1, 0, 2, -2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, -1, 0, 0, -1, 0, -1, -1, 0, 0, 1, 3, -1, 7,
2, 2, -1, 0, 0, 0, 1, 1, 0, -2, 2, 1, -1, -1, 0, -1, 3, 1, 0, 1, 2, 2, 0, -1, 1, 2, 1, 1, 1, 1, 3, -1, 0, 2, 2, -2, -1, 1,
-1, -3, 0, 3, 3, -1, 2, 8 ]);
-
GRAM(岩浆中)
G45:=矩阵代数(IntegerRing(),45)\[ 4, -1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, -1, -1, -1, 0, 0, -1, 1, 0,
0, -1, -1, 0, 1, 1, 1, -1, -1, -1, 1, -1, 1, 0, 1, 0, -1, 0, -1, -1, -1, 4, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 1, 0,
0, 2, 1, 0, 0, 1, -2, -1, 0, -1, 1, 0, 0, 1, -1, 0, 1, 1, -1, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 1, 4, -2, 0, -1, 1, 1, -1,
0, 1, 1, 1, 0, -1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, 0, -2, 1, 1, -1, 0, -1, 1, -1, 1, 1, 1, -1,
-2, 4, -1, 0, 0, -1, 1, -1, -1, -1, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, -1, 0, -1, 1, 1, 1, 1, -1, 0, 0, 2, -1, 0,
1, 1, -1, 0, 1, -1, -1, 0, 0, 0, -1, 4, 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 0,
0, 0, 0, 1, -2, 0, 0, -2, -1, -1, 1, 0, 0, 1, -2, 1, 0, -1, 0, 1, 4, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 1, -1, 0, -2, -2, 1,
1,0,-1,-1,-1,-1,0,-2,0,2,-1,-1,-1,-1,-2,1,-2,1,-2,2,-2,-2,0,0,1,0,1,1,0,4,-1,-1,-2,1,0,
-2, 0, -1, 1, -1, -2, 1, 1, -1, 0, -1, 1, -2, 0, -1, 0, 1, 1, 0, 1, 1, 2, -2, 2, 1, -1, -1, 2, -2, 2, 2, 1, -2, 0, 0, 1,
-1, -1, -1, -1, 5, -1, 1, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, -1, 2, -1, 0, -2, 0, 3, 0, 0,
0, 0, -2, 2, 0, 0, 0, -1, 1, 0, 0, -1, -1, 5, 0, -1, -2, -1, 0, 0, 0, -1, -1, -2, 0, -1, 1, 1, -2, -1, -1, 2, -1, -1, 2,
0, 0, -2, -1, 1, 1, -2, 0, 2, 0, 2, -1, 1, 0, -1, 0, 0, 0, -1, -1, -1, -2, 1, 0, 5, 1, 1, 1, -1, 1, -1, 0, 1, 0, 1, 2, -1,
-1, 0, 2, 2, -1, 1, -1, -1, -1, -1, -1, -1, 2, -2, 0, 1, 0, 0, 0, 0, -1, 0, 2, 0, 1, 1, -1, 1, 0, 1, -1, -1, 1, 5, 1, 1,
-1, 0, 0, -1, 0, 1, 2, 1, -1, -1, 1, 1, 1, -2, 1, -1, -1, 0, 1, 0, 1, 0, -2, 0, 0, -1, 0, -1, 2, -1, 0, 0, 1, 1, 1, -1, 0,
1, 0, 1, -2, 1, 1, 5, 2, -2, 0, -1, -1, 0, 2, 0, 0, -2, 0, 1, 0, 0, -2, 2, 0, -2, -1, 0, 1, 1, 0, -1, 0, 0, -2, -2, -2,
-2, -1, 0, 1, -1, 0, 1, -1, 0, 0, -2, 1, -1, 1, 1, 2, 5, 0, 0, -1, 0, 1, 1, 0, 1, -2, 2, 1, 2, -1, 1, 2, -1, -2, 0, 0, 1,
1, 1, -3, -1, 1, -2, -2, -1, -2, -3, 0, 3, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, -2, 0, 5, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2,
0, 1, -1, -1, 1, 1, 0, 1, -1, -1, -1, 1, 1, 0, 2, 0, 1, -2, 1, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 5, 1, 1,
1, 0, 0, 0, -1, 1, -1, 2, 1, -1, 1, -2, -1, -2, -1, -2, 1, 0, -1, 1, -1, 0, -1, -1, -1, -1, -1, 2, 0, 1, 0, 0, 0, 0, 1, 0,
0, -1, 0, -1, -1, 1, 1, 5, 0, -1, 0, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, 1, -2, 0, 1, 0, 0, 1, -1, 2, 0, -1, 1,
-1, 0, 0, -1, 1, 1, -1, 0, -1, 0, -1, -1, 0, 1, 1, 0, 5, 2, 1, -2, 1, 1, 1, -1, 1, 1, 0, -2, 1, 0, -1, -2, 0, -2, 1, -1,
2, -2, 1, -2, 2, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, -2, 1, -1, 1, 0, 0, 1, 0, 1, -1, 2, 5, 0, 0, 2, 0, -1, 0, 2, 1, 0, -1,
1,-1,-1,-1,0,-2,2,-2,1,0,0,-1,0,-2,0,1,-1,2,2,0,0,1,0,-2,0,
1, -1, 1, 0, 0, 0, -1, 1, 0, -1, 0, -1, 1, 1, 1, -1, 2, 0, -1, -1, 0, 0, 0, 0, 2, -1, 1, 1, 0, -1, -2, 1, 0, 0, 1, 2, 0,
0, 0, 0, 0, -2, 0, 1, 5, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, 1, -2, 1, 0, 1, 1, 0, 0, 1, 0, -1,
-2, -1, 1, -1, 2, 1, 0, 1, 0, 0, -1, 1, 2, 1, 1, 5, -1, -1, 1, 2, 1, -1, -1, 0, 1, 1, -2, -1, -1, 2, -3, 1, 2, 0, 1, 0, 1,
-2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2, -2, 0, -1, 1, 1, 0, -1, -1, -1, 5, -1, 0, -1, 0, 0, -2, 1, 0, 0, 1, 1,
-2, -1, 1, 0, 0, 1, 0, 2, 1, 2, -1, -2, -1, 1, 0, -1, 1, 1, -1, -1, 1, -1, -1, 0, 2, 0, 1, 0, 1, -1, 1, -1, -1, -1, 5, -2,
-1, -2, 2, 1, -1, 0, 1, -1, -1, 2, 1, 0, -1, -1, 0, -3, 1, -3, -1, -1, 2, 1, -2, 1, 0, 0, 0, 1, 2, -2, 0, 1, 1, 1, 0, -1,
0, -1, 0, 0, 0, 1, 0, -2, 5, 1, 0, -1, 0, 0, -1, 0, 2, 1, 0, -2, -1, 0, 2, -2, 2, -2, 1, -1, 0, -1, 0, -1, 0, 0, -1, -1,
-2, 0, -1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, -1, -1, 1, 5, 1, -1, 1, -2, -1, -1, 0, 0, -1, 0, -3, 1, 1, -1, 1, -1, 1,
-3, -1, 3, 0, 0, 0, -1, 1, -1, 0, 0, -1, 2, 1, 0, -1, 0, 1, 0, 1, 1, 0, 1, 1, 0, -2, 0, 1, 5, -1, 0, 1, 0, -2, -1, 0, -1,
0, -1, 2, -1, -1, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, 2, -1, -2, -2, 1, 1, -1, -1, 0, 0, -1, 0, -1, 0, 2, -1,
-1, -1, 6, 0, 0, 2, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 2, -1, 0, 1, 0, -1, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 2, 2, -1, 1, 1,
-2, -1, 1, 1, -1, -2, 1, 0, 1, 0, 0, 6, -2, -1, 0, -1, 1, 3, -1, 0, -1, 0, -3, 0, -1, 0, -1, 0, 3, 0, 0, 0, 1, 0, 0, 1, 1,
-1, -1, -1, 0, -1, -1, -2, 0, 1, 1, 0, 0, 0, 1, -1, 0, -2, 1, 0, -2, 6, 0, -1, 0, 2, 0, 1, 2, 2, -1, 0, -1, -1, 1, 2, 0,
-1, 1, 0, 0, 1, 0, -2, 1, 0, 2, -1, -1, -2, -2, 1, -1, 1, 0, -1, -1, 0, 1, 0, 0, -1, -1, 0, 2, -1, 0, 6, 1, -2, -1, 0, 0,
1,0,1,1,2,1,0,1,-1,1,-1,1,0,0,0,0,-1,0,-1,0,1,-2,0,-1,-1,-1,0,0,1,0,1,
-1, 1, 6, 0, -1, 0, 0, 0, -2, 2, 1, 1, 2, 0, -1, 0, -1, 1, -1, 0, 1, 0, 2, 1, -1, 0, -1, 1, 0, 0, 0, -1, 1, -2, -1, -1, 0,
-2, 1, -1, 2, 0, -1, -1, -1, 0, -2, 0, 6, 0, 0, -2, 1, -1, 0, 0, 1, -2, 0, 1, -1, -2, -1, 0, 2, -1, 0, -1, 1, 2, -2, -1,
0, 1, 1, 1, -2, 0, 0, 0, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, 2, -1, -1, 0, 6, 1, -1, 0, 2, 1, -2, 0, -1, 2, -1, 2, 0, -1, 1,
1, 0, 1, -1, 2, -1, -1, -1, 1, 1, 1, -1, 1, 1, -2, -2, 1, 1, -1, -2, 2, 0, -1, -1, 0, 3, 0, 0, 0, 0, 1, 6, -1, 1, 0, 0,
-2, 0, -3, 0, -1, 1, 2, -1, 1, 0, 0, -2, -1, -2, 0, 1, 2, 0, 0, 1, -1, 0, -2, 1, 2, 1, 1, 2, -1, 1, -2, 0, 0, 1, -1, 1, 0,
0, -2, -1, -1, 6, -1, 0, 0, 2, -2, 1, -1, 0, 0, 2, 1, -1, -2, 2, 0, 1, 2, -2, 1, -2, -2, -1, -3, -1, -1, 0, -1, -2, -1,
-1, -3, 1, 0, -1, -3, -1, 1, 0, 2, 1, 0, 1, 0, 1, -1, 6, 0, -2, 0, 1, 0, 0, 4, -1, -2, -1, 0, 1, -1, 0, -1, 1, 0, -2, 0,
0,0,-1,1,1,2,1,2,0,1,0,-1,0,1,2,-1,-1,2,0,-2,-1,2,0,0,0,6,-1,-1,0,-1,-1,-1,-1,3,0,0,1,1,1,0,1,
0, -2, -2, -1, 3, 0, 1, 0, 0, 1, 1, -1, 0, -2, 0, 0, 1, 2, 0, -1, 2, 1, -1, 0, 0, -1, 1, 2, 0, 1, 0, 0, -2, -1, 6, 0, 2,
0, 0, -3, 1, 1, 0, 1, -1, 1, -1, 1, -1, 0, 2, 0, -1, -2, -2, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, -2, -1, -1, 0, -3, 0, 1, 1,
0, -2, -2, 2, 0, -1, 0, 6, 0, 3, 0, 1, 1, -2, 1, -2, 0, 1, -1, -2, 2, 0, 0, 0, 0, -2, -2, 2, -1, 1, -2, -1, -1, 1, 1, 0,
-3, 2, 1, 0, 0, 0, -1, 2, 1, 1, 0, 0, -2, 1, 0, 2, 0, 6, -1, 3, 0, 2, -1, 0, 1, -1, -1, 1, 1, -2, 0, 2, 0, -1, -2, -1, 0,
-1, -1, 2, 0, 0, -2, 0, 2, 1, -2, -1, 0, 2, -1, -1, 1, 2, -2, -1, -3, 1, 0, -1, 0, 3, -1, 7, 0, 1, 0, -2, -1, 0, 1, 0, 0,
-2, 2, 0, -1, 0, 2, -2, -2, 1, -1, 2, 0, 0, 0, 1, 1, 1, -3, 1, 1, 1, -1, 0, 1, 1, 0, 0, 2, 0, -1, 0, 3, 0, 0, 3, 0, 7, 0,
1, -1, 0, 0, -1, 1, 0, 2, 2, -2, 1, -1, -1, -1, -3, -2, -1, 0, 0, -2, 0, 0, -2, 2, -1, -1, -3, 1, 0, -1, 2, 0, -1, 1, -1,
-1, 0, 4, 0, -3, 1, 0, 1, 0, 7, -2, -2, -1, 0, 1, -1, 1, -2, 1, 2, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 1, 0, -1, -1, 0,
-1, 0, 1, 0, 0, 1, 0, -1, 2, 1, 0, -1, 0, 1, 1, 2, 0, 1, -2, 7, -2, -1, 1, 1, -1, -2, -2, -2, 0, -1, 2, 0, 1, 3, 0, 2, 1,
0, 1, 2, 1, 2, -2, 2, -1, 3, 0, 0, 3, -1, -1, -1, -2, 0, 2, 2, -2, 1, 1, -2, -1, -2, -1, -2, -2, 8 ];
-
最小_形式
4
-
属性
单模=1
极端=1
-
评论
日期:2001年6月27日星期三18:00:18+0200(MET DST)
发件人:gaborit@unilim.fr(菲利普·加博利特)
这是一个极值45维单模格。
构造在环Z/25Z上使用自对偶码。
这将是即将发表的一篇论文“构造具有
自对偶代码”。
-
最后一行
Haftungsausschluss/免责声明
加布里埃尔·内布