Обобщенные симметрии в ОДЛК

Размерность задачи: N=5

Коды симметрий:
1 - {1,1,1,1,1}
2 - {1,1,1,2}
3 - {1,1,3}
4 - {1,2,2}
5 - {1,4}
6 - {2,3}
7 - {5}



№ ДЛК Код симметрии Перестановки Структура циклов
Парастрофический срез 1 (X Y V)
1
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(1,1,1)
Px=[0,1,2,3,4]
Py=[0,1,2,3,4]
Pv=[0,1,2,3,4]
{1,1,1,1,1}
{1,1,1,1,1}
{1,1,1,1,1}
2
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(1,7,7)
Px=[0,1,2,3,4]
Py=[1,2,3,4,0]
Pv=[1,2,3,4,0]
{1,1,1,1,1}
{5}
{5}
3
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(4,4,4)
Px=[0,4,3,2,1]
Py=[0,4,3,2,1]
Pv=[0,4,3,2,1]
{1,2,2}
{1,2,2}
{1,2,2}
4
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(5,5,5)
Px=[0,2,4,1,3]
Py=[0,2,4,1,3]
Pv=[0,2,4,1,3]
{1,4}
{1,4}
{1,4}
5
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(7,1,7)
Px=[1,2,3,4,0]
Py=[0,1,2,3,4]
Pv=[2,3,4,0,1]
{5}
{1,1,1,1,1}
{5}
6
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(7,7,1)
Px=[1,2,3,4,0]
Py=[3,4,0,1,2]
Pv=[0,1,2,3,4]
{5}
{5}
{1,1,1,1,1}
7
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
1-(7,7,7)
Px=[1,2,3,4,0]
Py=[1,2,3,4,0]
Pv=[3,4,0,1,2]
{5}
{5}
{5}
Парастрофический срез 2 (X V Y)
8
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(1,4,4)
Px=[0,1,2,3,4]
Py=[0,4,3,2,1]
Pv=[0,4,3,2,1]
{1,1,1,1,1}
{1,2,2}
{1,2,2}
9
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(4,1,1)
Px=[0,4,3,2,1]
Py=[0,1,2,3,4]
Pv=[0,1,2,3,4]
{1,2,2}
{1,1,1,1,1}
{1,1,1,1,1}
10
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(4,1,7)
Px=[1,0,4,3,2]
Py=[0,1,2,3,4]
Pv=[2,3,4,0,1]
{1,2,2}
{1,1,1,1,1}
{5}
11
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(4,7,1)
Px=[1,0,4,3,2]
Py=[3,4,0,1,2]
Pv=[0,1,2,3,4]
{1,2,2}
{5}
{1,1,1,1,1}
12
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(4,7,7)
Px=[0,4,3,2,1]
Py=[1,2,3,4,0]
Pv=[1,2,3,4,0]
{1,2,2}
{5}
{5}
13
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(5,5,5)
Px=[0,2,4,1,3]
Py=[0,3,1,4,2]
Pv=[0,3,1,4,2]
{1,4}
{1,4}
{1,4}
14
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
2-(7,4,4)
Px=[1,2,3,4,0]
Py=[0,4,3,2,1]
Pv=[2,1,0,4,3]
{5}
{1,2,2}
{1,2,2}
Парастрофический срез 3 (Y X V)
15
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(1,4,5)
Px=[0,1,2,3,4]
Py=[0,4,3,2,1]
Pv=[0,2,4,1,3]
{1,1,1,1,1}
{1,2,2}
{1,4}
16
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(4,1,5)
Px=[0,4,3,2,1]
Py=[0,1,2,3,4]
Pv=[0,3,1,4,2]
{1,2,2}
{1,1,1,1,1}
{1,4}
17
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(4,7,5)
Px=[0,4,3,2,1]
Py=[1,2,3,4,0]
Pv=[1,4,2,0,3]
{1,2,2}
{5}
{1,4}
18
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(5,5,1)
Px=[0,3,1,4,2]
Py=[0,2,4,1,3]
Pv=[0,1,2,3,4]
{1,4}
{1,4}
{1,1,1,1,1}
19
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(5,5,4)
Px=[0,2,4,1,3]
Py=[0,3,1,4,2]
Pv=[0,4,3,2,1]
{1,4}
{1,4}
{1,2,2}
20
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(5,5,7)
Px=[0,3,1,4,2]
Py=[1,3,0,2,4]
Pv=[1,2,3,4,0]
{1,4}
{1,4}
{5}
21
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
3-(7,4,5)
Px=[1,2,3,4,0]
Py=[0,4,3,2,1]
Pv=[2,4,1,3,0]
{5}
{1,2,2}
{1,4}
Парастрофический срез 4 (Y V X)
22
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(1,5,1)
Px=[0,1,2,3,4]
Py=[0,3,1,4,2]
Pv=[0,1,2,3,4]
{1,1,1,1,1}
{1,4}
{1,1,1,1,1}
23
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(1,5,7)
Px=[0,1,2,3,4]
Py=[1,4,2,0,3]
Pv=[1,2,3,4,0]
{1,1,1,1,1}
{1,4}
{5}
24
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(4,5,4)
Px=[0,4,3,2,1]
Py=[0,2,4,1,3]
Pv=[0,4,3,2,1]
{1,2,2}
{1,4}
{1,2,2}
25
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(5,1,5)
Px=[0,2,4,1,3]
Py=[0,1,2,3,4]
Pv=[0,2,4,1,3]
{1,4}
{1,1,1,1,1}
{1,4}
26
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(5,4,5)
Px=[0,3,1,4,2]
Py=[0,4,3,2,1]
Pv=[0,3,1,4,2]
{1,4}
{1,2,2}
{1,4}
27
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(5,7,5)
Px=[0,2,4,1,3]
Py=[1,2,3,4,0]
Pv=[1,3,0,2,4]
{1,4}
{5}
{1,4}
28
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(7,5,1)
Px=[1,2,3,4,0]
Py=[3,1,4,2,0]
Pv=[0,1,2,3,4]
{5}
{1,4}
{1,1,1,1,1}
29
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
4-(7,5,7)
Px=[1,2,3,4,0]
Py=[0,3,1,4,2]
Pv=[2,3,4,0,1]
{5}
{1,4}
{5}
Парастрофический срез 5 (V X Y)
30
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(1,1,5)
Px=[0,1,2,3,4]
Py=[0,1,2,3,4]
Pv=[0,2,4,1,3]
{1,1,1,1,1}
{1,1,1,1,1}
{1,4}
31
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(1,7,5)
Px=[0,1,2,3,4]
Py=[1,2,3,4,0]
Pv=[1,3,0,2,4]
{1,1,1,1,1}
{5}
{1,4}
32
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(4,4,5)
Px=[0,4,3,2,1]
Py=[0,4,3,2,1]
Pv=[0,3,1,4,2]
{1,2,2}
{1,2,2}
{1,4}
33
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(5,5,1)
Px=[0,3,1,4,2]
Py=[0,3,1,4,2]
Pv=[0,1,2,3,4]
{1,4}
{1,4}
{1,1,1,1,1}
34
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(5,5,4)
Px=[0,2,4,1,3]
Py=[0,2,4,1,3]
Pv=[0,4,3,2,1]
{1,4}
{1,4}
{1,2,2}
35
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(5,5,7)
Px=[0,3,1,4,2]
Py=[1,4,2,0,3]
Pv=[1,2,3,4,0]
{1,4}
{1,4}
{5}
36
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(7,1,5)
Px=[1,2,3,4,0]
Py=[0,1,2,3,4]
Pv=[2,4,1,3,0]
{5}
{1,1,1,1,1}
{1,4}
37
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
5-(7,7,5)
Px=[1,2,3,4,0]
Py=[1,2,3,4,0]
Pv=[3,0,2,4,1]
{5}
{5}
{1,4}
Парастрофический срез 6 (V Y X)
38
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(1,5,4)
Px=[0,1,2,3,4]
Py=[0,3,1,4,2]
Pv=[0,4,3,2,1]
{1,1,1,1,1}
{1,4}
{1,2,2}
39
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(4,5,1)
Px=[0,4,3,2,1]
Py=[0,2,4,1,3]
Pv=[0,1,2,3,4]
{1,2,2}
{1,4}
{1,1,1,1,1}
40
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(4,5,7)
Px=[0,4,3,2,1]
Py=[1,3,0,2,4]
Pv=[1,2,3,4,0]
{1,2,2}
{1,4}
{5}
41
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(5,1,5)
Px=[0,2,4,1,3]
Py=[0,1,2,3,4]
Pv=[0,3,1,4,2]
{1,4}
{1,1,1,1,1}
{1,4}
42
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(5,4,5)
Px=[0,3,1,4,2]
Py=[0,4,3,2,1]
Pv=[0,2,4,1,3]
{1,4}
{1,2,2}
{1,4}
43
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(5,7,5)
Px=[0,2,4,1,3]
Py=[1,2,3,4,0]
Pv=[1,4,2,0,3]
{1,4}
{5}
{1,4}
44
 0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
6-(7,5,4)
Px=[1,2,3,4,0]
Py=[0,3,1,4,2]
Pv=[2,1,0,4,3]
{5}
{1,4}
{1,2,2}