Обобщенные симметрии в ДЛК

Размерность задачи: N=4

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



№ ДЛК Код симметрии Перестановки Структура циклов
Парастрофический срез 1 (X Y V)
1
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(1,1,1)
Px=[0,1,2,3]
Py=[0,1,2,3]
Pv=[0,1,2,3]
{1,1,1,1}
{1,1,1,1}
{1,1,1,1}
2
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(1,4,4)
Px=[0,1,2,3]
Py=[1,0,3,2]
Pv=[1,0,3,2]
{1,1,1,1}
{2,2}
{2,2}
3
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(2,2,2)
Px=[0,1,3,2]
Py=[0,2,1,3]
Pv=[0,2,1,3]
{1,1,2}
{1,1,2}
{1,1,2}
4
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(2,5,5)
Px=[0,1,3,2]
Py=[1,3,0,2]
Pv=[1,3,0,2]
{1,1,2}
{4}
{4}
5
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(3,3,3)
Px=[0,2,3,1]
Py=[0,2,3,1]
Pv=[0,2,3,1]
{1,3}
{1,3}
{1,3}
6
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(4,1,4)
Px=[1,0,3,2]
Py=[0,1,2,3]
Pv=[3,2,1,0]
{2,2}
{1,1,1,1}
{2,2}
7
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(4,4,1)
Px=[1,0,3,2]
Py=[3,2,1,0]
Pv=[0,1,2,3]
{2,2}
{2,2}
{1,1,1,1}
8
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(4,4,4)
Px=[1,0,3,2]
Py=[1,0,3,2]
Pv=[2,3,0,1]
{2,2}
{2,2}
{2,2}
9
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(5,2,5)
Px=[1,2,3,0]
Py=[0,1,3,2]
Pv=[3,2,0,1]
{4}
{1,1,2}
{4}
10
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
1-(5,5,2)
Px=[1,2,3,0]
Py=[2,3,1,0]
Pv=[1,0,2,3]
{4}
{4}
{1,1,2}
Парастрофический срез 2 (X V Y)
11
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(1,1,1)
Px=[0,1,2,3]
Py=[0,1,2,3]
Pv=[0,1,2,3]
{1,1,1,1}
{1,1,1,1}
{1,1,1,1}
12
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(1,4,4)
Px=[0,1,2,3]
Py=[1,0,3,2]
Pv=[1,0,3,2]
{1,1,1,1}
{2,2}
{2,2}
13
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(2,2,2)
Px=[0,1,3,2]
Py=[0,2,1,3]
Pv=[0,2,1,3]
{1,1,2}
{1,1,2}
{1,1,2}
14
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(2,5,5)
Px=[0,1,3,2]
Py=[1,3,0,2]
Pv=[1,3,0,2]
{1,1,2}
{4}
{4}
15
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(3,3,3)
Px=[0,2,3,1]
Py=[0,2,3,1]
Pv=[0,2,3,1]
{1,3}
{1,3}
{1,3}
16
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(4,1,4)
Px=[1,0,3,2]
Py=[0,1,2,3]
Pv=[3,2,1,0]
{2,2}
{1,1,1,1}
{2,2}
17
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(4,4,1)
Px=[1,0,3,2]
Py=[3,2,1,0]
Pv=[0,1,2,3]
{2,2}
{2,2}
{1,1,1,1}
18
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(4,4,4)
Px=[1,0,3,2]
Py=[1,0,3,2]
Pv=[2,3,0,1]
{2,2}
{2,2}
{2,2}
19
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(5,2,5)
Px=[1,2,3,0]
Py=[0,1,3,2]
Pv=[3,2,0,1]
{4}
{1,1,2}
{4}
20
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
2-(5,5,2)
Px=[1,2,3,0]
Py=[2,3,1,0]
Pv=[1,0,2,3]
{4}
{4}
{1,1,2}
Парастрофический срез 3 (Y X V)
21
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(1,3,3)
Px=[0,1,2,3]
Py=[0,2,3,1]
Pv=[0,3,1,2]
{1,1,1,1}
{1,3}
{1,3}
22
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(2,2,2)
Px=[0,1,3,2]
Py=[0,1,3,2]
Pv=[0,3,2,1]
{1,1,2}
{1,1,2}
{1,1,2}
23
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(2,2,5)
Px=[0,1,3,2]
Py=[1,0,2,3]
Pv=[1,2,3,0]
{1,1,2}
{1,1,2}
{4}
24
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(2,5,2)
Px=[0,1,3,2]
Py=[2,3,1,0]
Pv=[2,1,0,3]
{1,1,2}
{4}
{1,1,2}
25
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(2,5,5)
Px=[0,1,3,2]
Py=[3,2,0,1]
Pv=[3,0,1,2]
{1,1,2}
{4}
{4}
26
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(3,1,3)
Px=[0,3,1,2]
Py=[0,1,2,3]
Pv=[0,2,3,1]
{1,3}
{1,1,1,1}
{1,3}
27
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(3,3,1)
Px=[0,2,3,1]
Py=[0,3,1,2]
Pv=[0,1,2,3]
{1,3}
{1,3}
{1,1,1,1}
28
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(3,3,4)
Px=[0,2,3,1]
Py=[1,2,0,3]
Pv=[1,0,3,2]
{1,3}
{1,3}
{2,2}
29
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(3,4,3)
Px=[0,3,1,2]
Py=[1,0,3,2]
Pv=[1,3,2,0]
{1,3}
{2,2}
{1,3}
30
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(4,3,3)
Px=[1,0,3,2]
Py=[0,2,3,1]
Pv=[3,0,2,1]
{2,2}
{1,3}
{1,3}
31
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(5,2,2)
Px=[1,2,3,0]
Py=[0,3,2,1]
Pv=[3,1,2,0]
{4}
{1,1,2}
{1,1,2}
32
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(5,2,5)
Px=[1,2,3,0]
Py=[2,1,0,3]
Pv=[1,3,0,2]
{4}
{1,1,2}
{4}
33
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(5,5,2)
Px=[1,2,3,0]
Py=[3,0,1,2]
Pv=[0,2,1,3]
{4}
{4}
{1,1,2}
34
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
3-(5,5,5)
Px=[1,2,3,0]
Py=[1,2,3,0]
Pv=[2,0,3,1]
{4}
{4}
{4}
Парастрофический срез 4 (Y V X)
35
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(1,3,3)
Px=[0,1,2,3]
Py=[0,3,1,2]
Pv=[0,2,3,1]
{1,1,1,1}
{1,3}
{1,3}
36
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(2,2,2)
Px=[0,1,3,2]
Py=[0,3,2,1]
Pv=[0,1,3,2]
{1,1,2}
{1,1,2}
{1,1,2}
37
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(2,2,5)
Px=[0,1,3,2]
Py=[2,1,0,3]
Pv=[2,3,1,0]
{1,1,2}
{1,1,2}
{4}
38
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(2,5,2)
Px=[0,1,3,2]
Py=[1,2,3,0]
Pv=[1,0,2,3]
{1,1,2}
{4}
{1,1,2}
39
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(2,5,5)
Px=[0,1,3,2]
Py=[3,0,1,2]
Pv=[3,2,0,1]
{1,1,2}
{4}
{4}
40
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(3,1,3)
Px=[0,2,3,1]
Py=[0,1,2,3]
Pv=[0,3,1,2]
{1,3}
{1,1,1,1}
{1,3}
41
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(3,3,1)
Px=[0,3,1,2]
Py=[0,2,3,1]
Pv=[0,1,2,3]
{1,3}
{1,3}
{1,1,1,1}
42
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(3,3,4)
Px=[0,3,1,2]
Py=[1,3,2,0]
Pv=[1,0,3,2]
{1,3}
{1,3}
{2,2}
43
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(3,4,3)
Px=[0,2,3,1]
Py=[1,0,3,2]
Pv=[1,2,0,3]
{1,3}
{2,2}
{1,3}
44
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(4,3,3)
Px=[1,0,3,2]
Py=[0,3,1,2]
Pv=[3,1,0,2]
{2,2}
{1,3}
{1,3}
45
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(5,2,2)
Px=[1,2,3,0]
Py=[3,1,2,0]
Pv=[0,3,2,1]
{4}
{1,1,2}
{1,1,2}
46
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(5,2,5)
Px=[1,2,3,0]
Py=[0,2,1,3]
Pv=[3,0,1,2]
{4}
{1,1,2}
{4}
47
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(5,5,2)
Px=[1,2,3,0]
Py=[1,3,0,2]
Pv=[2,1,0,3]
{4}
{4}
{1,1,2}
48
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
4-(5,5,5)
Px=[1,2,3,0]
Py=[2,0,3,1]
Pv=[1,2,3,0]
{4}
{4}
{4}
Парастрофический срез 5 (V X Y)
49
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(1,3,3)
Px=[0,1,2,3]
Py=[0,2,3,1]
Pv=[0,3,1,2]
{1,1,1,1}
{1,3}
{1,3}
50
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(2,2,2)
Px=[0,1,3,2]
Py=[0,1,3,2]
Pv=[0,3,2,1]
{1,1,2}
{1,1,2}
{1,1,2}
51
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(2,2,5)
Px=[0,1,3,2]
Py=[1,0,2,3]
Pv=[1,2,3,0]
{1,1,2}
{1,1,2}
{4}
52
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(2,5,2)
Px=[0,1,3,2]
Py=[2,3,1,0]
Pv=[2,1,0,3]
{1,1,2}
{4}
{1,1,2}
53
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(2,5,5)
Px=[0,1,3,2]
Py=[3,2,0,1]
Pv=[3,0,1,2]
{1,1,2}
{4}
{4}
54
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(3,1,3)
Px=[0,3,1,2]
Py=[0,1,2,3]
Pv=[0,2,3,1]
{1,3}
{1,1,1,1}
{1,3}
55
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(3,3,1)
Px=[0,2,3,1]
Py=[0,3,1,2]
Pv=[0,1,2,3]
{1,3}
{1,3}
{1,1,1,1}
56
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(3,3,4)
Px=[0,2,3,1]
Py=[1,2,0,3]
Pv=[1,0,3,2]
{1,3}
{1,3}
{2,2}
57
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(3,4,3)
Px=[0,3,1,2]
Py=[1,0,3,2]
Pv=[1,3,2,0]
{1,3}
{2,2}
{1,3}
58
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(4,3,3)
Px=[1,0,3,2]
Py=[0,2,3,1]
Pv=[3,0,2,1]
{2,2}
{1,3}
{1,3}
59
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(5,2,2)
Px=[1,2,3,0]
Py=[0,3,2,1]
Pv=[3,1,2,0]
{4}
{1,1,2}
{1,1,2}
60
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(5,2,5)
Px=[1,2,3,0]
Py=[2,1,0,3]
Pv=[1,3,0,2]
{4}
{1,1,2}
{4}
61
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(5,5,2)
Px=[1,2,3,0]
Py=[3,0,1,2]
Pv=[0,2,1,3]
{4}
{4}
{1,1,2}
62
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
5-(5,5,5)
Px=[1,2,3,0]
Py=[1,2,3,0]
Pv=[2,0,3,1]
{4}
{4}
{4}
Парастрофический срез 6 (V Y X)
63
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(1,3,3)
Px=[0,1,2,3]
Py=[0,3,1,2]
Pv=[0,2,3,1]
{1,1,1,1}
{1,3}
{1,3}
64
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(2,2,2)
Px=[0,1,3,2]
Py=[0,3,2,1]
Pv=[0,1,3,2]
{1,1,2}
{1,1,2}
{1,1,2}
65
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(2,2,5)
Px=[0,1,3,2]
Py=[2,1,0,3]
Pv=[2,3,1,0]
{1,1,2}
{1,1,2}
{4}
66
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(2,5,2)
Px=[0,1,3,2]
Py=[1,2,3,0]
Pv=[1,0,2,3]
{1,1,2}
{4}
{1,1,2}
67
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(2,5,5)
Px=[0,1,3,2]
Py=[3,0,1,2]
Pv=[3,2,0,1]
{1,1,2}
{4}
{4}
68
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(3,1,3)
Px=[0,2,3,1]
Py=[0,1,2,3]
Pv=[0,3,1,2]
{1,3}
{1,1,1,1}
{1,3}
69
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(3,3,1)
Px=[0,3,1,2]
Py=[0,2,3,1]
Pv=[0,1,2,3]
{1,3}
{1,3}
{1,1,1,1}
70
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(3,3,4)
Px=[0,3,1,2]
Py=[1,3,2,0]
Pv=[1,0,3,2]
{1,3}
{1,3}
{2,2}
71
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(3,4,3)
Px=[0,2,3,1]
Py=[1,0,3,2]
Pv=[1,2,0,3]
{1,3}
{2,2}
{1,3}
72
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(4,3,3)
Px=[1,0,3,2]
Py=[0,3,1,2]
Pv=[3,1,0,2]
{2,2}
{1,3}
{1,3}
73
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(5,2,2)
Px=[1,2,3,0]
Py=[3,1,2,0]
Pv=[0,3,2,1]
{4}
{1,1,2}
{1,1,2}
74
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(5,2,5)
Px=[1,2,3,0]
Py=[0,2,1,3]
Pv=[3,0,1,2]
{4}
{1,1,2}
{4}
75
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(5,5,2)
Px=[1,2,3,0]
Py=[1,3,0,2]
Pv=[2,1,0,3]
{4}
{4}
{1,1,2}
76
 0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1
6-(5,5,5)
Px=[1,2,3,0]
Py=[2,0,3,1]
Pv=[1,2,3,0]
{4}
{4}
{4}