Обобщенные симметрии в ДЛК

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
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
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
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(1,7,7)
Px=[0,1,2,3,4]
Py=[1,3,0,4,2]
Pv=[1,3,0,4,2]
{1,1,1,1,1}
{5}
{5}
3
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
1-(3,3,3)
Px=[0,3,2,4,1]
Py=[1,4,2,3,0]
Pv=[1,4,2,3,0]
{1,1,3}
{1,1,3}
{1,1,3}
4
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(4,4,4)
Px=[0,2,1,4,3]
Py=[0,2,1,4,3]
Pv=[0,2,1,4,3]
{1,2,2}
{1,2,2}
{1,2,2}
5
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(5,5,5)
Px=[0,3,4,2,1]
Py=[0,3,4,2,1]
Pv=[0,3,4,2,1]
{1,4}
{1,4}
{1,4}
6
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(7,1,7)
Px=[1,3,0,4,2]
Py=[0,1,2,3,4]
Pv=[4,2,3,0,1]
{5}
{1,1,1,1,1}
{5}
7
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(7,7,1)
Px=[1,3,0,4,2]
Py=[3,4,1,2,0]
Pv=[0,1,2,3,4]
{5}
{5}
{1,1,1,1,1}
8
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
1-(7,7,7)
Px=[1,3,0,4,2]
Py=[1,3,0,4,2]
Pv=[2,0,4,1,3]
{5}
{5}
{5}
Парастрофический срез 2 (X V Y)
9
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(1,4,4)
Px=[0,1,2,3,4]
Py=[0,2,1,4,3]
Pv=[0,2,1,4,3]
{1,1,1,1,1}
{1,2,2}
{1,2,2}
10
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
2-(2,4,4)
Px=[0,1,2,4,3]
Py=[4,1,3,2,0]
Pv=[4,1,3,2,0]
{1,1,1,2}
{1,2,2}
{1,2,2}
11
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
2-(2,7,7)
Px=[1,0,2,3,4]
Py=[3,0,4,2,1]
Pv=[1,4,3,0,2]
{1,1,1,2}
{5}
{5}
12
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(4,1,1)
Px=[0,2,1,4,3]
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}
13
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(4,1,7)
Px=[1,0,3,2,4]
Py=[0,1,2,3,4]
Pv=[4,2,3,0,1]
{1,2,2}
{1,1,1,1,1}
{5}
14
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(4,7,1)
Px=[1,0,3,2,4]
Py=[3,4,1,2,0]
Pv=[0,1,2,3,4]
{1,2,2}
{5}
{1,1,1,1,1}
15
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(4,7,7)
Px=[0,2,1,4,3]
Py=[1,3,0,4,2]
Pv=[1,3,0,4,2]
{1,2,2}
{5}
{5}
16
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
2-(5,3,7)
Px=[1,3,2,4,0]
Py=[0,1,4,2,3]
Pv=[4,2,3,0,1]
{1,4}
{1,1,3}
{5}
17
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(5,5,5)
Px=[0,3,4,2,1]
Py=[0,4,3,1,2]
Pv=[0,4,3,1,2]
{1,4}
{1,4}
{1,4}
18
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
2-(5,7,3)
Px=[1,4,2,0,3]
Py=[1,3,4,2,0]
Pv=[2,1,3,0,4]
{1,4}
{5}
{1,1,3}
19
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
2-(7,4,4)
Px=[1,3,0,4,2]
Py=[0,2,1,4,3]
Pv=[4,3,2,1,0]
{5}
{1,2,2}
{1,2,2}
Парастрофический срез 3 (Y X V)
20
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(1,4,5)
Px=[0,1,2,3,4]
Py=[0,2,1,4,3]
Pv=[0,4,3,1,2]
{1,1,1,1,1}
{1,2,2}
{1,4}
21
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
3-(2,2,2)
Px=[0,4,2,3,1]
Py=[0,4,2,3,1]
Pv=[0,2,1,3,4]
{1,1,1,2}
{1,1,1,2}
{1,1,1,2}
22
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
3-(2,2,5)
Px=[0,1,2,4,3]
Py=[1,0,2,3,4]
Pv=[1,2,4,3,0]
{1,1,1,2}
{1,1,1,2}
{1,4}
23
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(4,1,5)
Px=[0,2,1,4,3]
Py=[0,1,2,3,4]
Pv=[0,3,4,2,1]
{1,2,2}
{1,1,1,1,1}
{1,4}
24
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(4,7,5)
Px=[0,2,1,4,3]
Py=[1,3,0,4,2]
Pv=[1,4,2,0,3]
{1,2,2}
{5}
{1,4}
25
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(5,5,1)
Px=[0,3,4,2,1]
Py=[0,4,3,1,2]
Pv=[0,1,2,3,4]
{1,4}
{1,4}
{1,1,1,1,1}
26
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
3-(5,5,2)
Px=[1,4,2,0,3]
Py=[3,0,2,4,1]
Pv=[1,0,2,3,4]
{1,4}
{1,4}
{1,1,1,2}
27
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(5,5,4)
Px=[0,4,3,1,2]
Py=[0,3,4,2,1]
Pv=[0,2,1,4,3]
{1,4}
{1,4}
{1,2,2}
28
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
3-(5,5,5)
Px=[1,3,2,4,0]
Py=[1,3,2,4,0]
Pv=[2,0,4,3,1]
{1,4}
{1,4}
{1,4}
29
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(5,5,7)
Px=[0,3,4,2,1]
Py=[1,2,4,3,0]
Pv=[1,3,0,4,2]
{1,4}
{1,4}
{5}
30
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
3-(7,4,5)
Px=[1,3,0,4,2]
Py=[0,2,1,4,3]
Pv=[4,1,0,2,3]
{5}
{1,2,2}
{1,4}
Парастрофический срез 4 (Y V X)
31
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(1,5,1)
Px=[0,1,2,3,4]
Py=[0,3,4,2,1]
Pv=[0,1,2,3,4]
{1,1,1,1,1}
{1,4}
{1,1,1,1,1}
32
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(1,5,6)
Px=[0,1,2,3,4]
Py=[1,3,0,2,4]
Pv=[1,4,3,2,0]
{1,1,1,1,1}
{1,4}
{2,3}
33
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(1,5,7)
Px=[0,1,2,3,4]
Py=[1,4,2,0,3]
Pv=[1,3,0,4,2]
{1,1,1,1,1}
{1,4}
{5}
34
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(3,2,5)
Px=[4,1,2,0,3]
Py=[0,1,3,2,4]
Pv=[2,1,3,4,0]
{1,1,3}
{1,1,1,2}
{1,4}
35
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(3,5,2)
Px=[0,4,2,1,3]
Py=[0,3,4,2,1]
Pv=[0,1,3,2,4]
{1,1,3}
{1,4}
{1,1,1,2}
36
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(3,5,6)
Px=[3,1,2,4,0]
Py=[3,0,1,2,4]
Pv=[4,2,3,1,0]
{1,1,3}
{1,4}
{2,3}
37
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(3,6,5)
Px=[1,4,2,3,0]
Py=[3,4,0,2,1]
Pv=[1,2,3,0,4]
{1,1,3}
{2,3}
{1,4}
38
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(3,6,6)
Px=[0,3,2,4,1]
Py=[4,3,1,2,0]
Pv=[4,0,3,2,1]
{1,1,3}
{2,3}
{2,3}
39
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(4,5,4)
Px=[0,2,1,4,3]
Py=[0,4,3,1,2]
Pv=[0,2,1,4,3]
{1,2,2}
{1,4}
{1,2,2}
40
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(4,5,5)
Px=[1,0,2,4,3]
Py=[0,4,1,2,3]
Pv=[4,1,3,0,2]
{1,2,2}
{1,4}
{1,4}
41
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
4-(4,6,5)
Px=[3,4,2,0,1]
Py=[4,0,3,2,1]
Pv=[2,0,3,1,4]
{1,2,2}
{2,3}
{1,4}
42
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(5,1,5)
Px=[0,4,3,1,2]
Py=[0,1,2,3,4]
Pv=[0,4,3,1,2]
{1,4}
{1,1,1,1,1}
{1,4}
43
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(5,4,5)
Px=[0,3,4,2,1]
Py=[0,2,1,4,3]
Pv=[0,3,4,2,1]
{1,4}
{1,2,2}
{1,4}
44
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(5,7,5)
Px=[0,4,3,1,2]
Py=[1,3,0,4,2]
Pv=[1,2,4,3,0]
{1,4}
{5}
{1,4}
45
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(7,5,1)
Px=[1,3,0,4,2]
Py=[3,2,0,1,4]
Pv=[0,1,2,3,4]
{5}
{1,4}
{1,1,1,1,1}
46
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
4-(7,5,7)
Px=[1,3,0,4,2]
Py=[0,3,4,2,1]
Pv=[4,2,3,0,1]
{5}
{1,4}
{5}
Парастрофический срез 5 (V X Y)
47
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(1,1,5)
Px=[0,1,2,3,4]
Py=[0,1,2,3,4]
Pv=[0,4,3,1,2]
{1,1,1,1,1}
{1,1,1,1,1}
{1,4}
48
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(1,7,5)
Px=[0,1,2,3,4]
Py=[1,3,0,4,2]
Pv=[1,2,4,3,0]
{1,1,1,1,1}
{5}
{1,4}
49
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(2,3,5)
Px=[0,1,3,2,4]
Py=[0,3,2,4,1]
Pv=[0,4,3,1,2]
{1,1,1,2}
{1,1,3}
{1,4}
50
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(4,4,5)
Px=[0,2,1,4,3]
Py=[0,2,1,4,3]
Pv=[0,3,4,2,1]
{1,2,2}
{1,2,2}
{1,4}
51
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(5,3,2)
Px=[4,1,0,2,3]
Py=[3,1,2,4,0]
Pv=[0,1,3,2,4]
{1,4}
{1,1,3}
{1,1,1,2}
52
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(5,3,6)
Px=[0,3,4,2,1]
Py=[1,3,2,0,4]
Pv=[1,0,3,4,2]
{1,4}
{1,1,3}
{2,3}
53
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(5,4,5)
Px=[0,4,1,2,3]
Py=[4,3,2,1,0]
Pv=[4,1,3,0,2]
{1,4}
{1,2,2}
{1,4}
54
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(5,4,6)
Px=[1,3,0,2,4]
Py=[3,4,2,0,1]
Pv=[1,4,3,2,0]
{1,4}
{1,2,2}
{2,3}
55
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(5,5,1)
Px=[0,3,4,2,1]
Py=[0,3,4,2,1]
Pv=[0,1,2,3,4]
{1,4}
{1,4}
{1,1,1,1,1}
56
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(5,5,4)
Px=[0,4,3,1,2]
Py=[0,4,3,1,2]
Pv=[0,2,1,4,3]
{1,4}
{1,4}
{1,2,2}
57
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(5,5,7)
Px=[0,3,4,2,1]
Py=[1,4,2,0,3]
Pv=[1,3,0,4,2]
{1,4}
{1,4}
{5}
58
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(6,1,5)
Px=[4,0,3,2,1]
Py=[0,1,2,3,4]
Pv=[2,0,3,1,4]
{2,3}
{1,1,1,1,1}
{1,4}
59
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(6,3,5)
Px=[1,0,4,2,3]
Py=[1,4,2,3,0]
Pv=[2,1,3,4,0]
{2,3}
{1,1,3}
{1,4}
60
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
5-(6,3,6)
Px=[1,4,3,2,0]
Py=[0,4,2,1,3]
Pv=[4,2,3,1,0]
{2,3}
{1,1,3}
{2,3}
61
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(7,1,5)
Px=[1,3,0,4,2]
Py=[0,1,2,3,4]
Pv=[4,1,0,2,3]
{5}
{1,1,1,1,1}
{1,4}
62
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
5-(7,7,5)
Px=[1,3,0,4,2]
Py=[1,3,0,4,2]
Pv=[2,3,1,0,4]
{5}
{5}
{1,4}
Парастрофический срез 6 (V Y X)
63
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(1,5,4)
Px=[0,1,2,3,4]
Py=[0,3,4,2,1]
Pv=[0,2,1,4,3]
{1,1,1,1,1}
{1,4}
{1,2,2}
64
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
6-(3,2,3)
Px=[0,3,1,2,4]
Py=[0,1,2,4,3]
Pv=[0,2,3,1,4]
{1,1,3}
{1,1,1,2}
{1,1,3}
65
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
6-(3,5,7)
Px=[0,1,4,2,3]
Py=[4,0,2,1,3]
Pv=[4,2,3,0,1]
{1,1,3}
{1,4}
{5}
66
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
6-(4,2,4)
Px=[1,0,3,2,4]
Py=[3,1,2,0,4]
Pv=[1,0,3,2,4]
{1,2,2}
{1,1,1,2}
{1,2,2}
67
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(4,5,1)
Px=[0,2,1,4,3]
Py=[0,4,3,1,2]
Pv=[0,1,2,3,4]
{1,2,2}
{1,4}
{1,1,1,1,1}
68
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(4,5,7)
Px=[0,2,1,4,3]
Py=[1,2,4,3,0]
Pv=[1,3,0,4,2]
{1,2,2}
{1,4}
{5}
69
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(5,1,5)
Px=[0,4,3,1,2]
Py=[0,1,2,3,4]
Pv=[0,3,4,2,1]
{1,4}
{1,1,1,1,1}
{1,4}
70
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(5,4,5)
Px=[0,3,4,2,1]
Py=[0,2,1,4,3]
Pv=[0,4,3,1,2]
{1,4}
{1,2,2}
{1,4}
71
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(5,7,5)
Px=[0,4,3,1,2]
Py=[1,3,0,4,2]
Pv=[1,4,2,0,3]
{1,4}
{5}
{1,4}
72
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
6-(7,2,7)
Px=[1,3,4,2,0]
Py=[0,3,2,1,4]
Pv=[4,0,3,1,2]
{5}
{1,1,1,2}
{5}
73
 0 1 2 3 4
4 2 0 1 3
1 4 3 2 0
3 0 1 4 2
2 3 4 0 1
6-(7,5,3)
Px=[3,4,1,2,0]
Py=[1,3,2,4,0]
Pv=[0,1,3,4,2]
{5}
{1,4}
{1,1,3}
74
 0 1 2 3 4
4 2 3 0 1
3 4 1 2 0
1 3 0 4 2
2 0 4 1 3
6-(7,5,4)
Px=[1,3,0,4,2]
Py=[0,3,4,2,1]
Pv=[4,3,2,1,0]
{5}
{1,4}
{1,2,2}