Inversions in sequences

From Wikiversity
Jump to navigation Jump to search
Inversion (discrete mathematics) Rdrup.svg

This page shows the 44 = 256 sequences of length 4 with possible entries from 0...3. These are the integers 0...255 in base 4.

It shows their place-based and element based inversion sets, and all four possible vectors related to them.
l and r are the left and right inversion counts, and v is the inversion vector. The fourth possible vector is unused, but added as u for completeness' sake.

While inversion sets and the related vectors uniquely define permutations, this is not true for sequences in general.

The place-based inversion sets are the same as those of permutations.
There are 35 sequences with the inversion set of permutation , while that of is unique.
The inversion sets of the permutations , , , , , , , , , and appear 15 times each, while those of , , , , , , , , , and appear 5 times each.

The element-based inversion sets are multisets, as different pairs of places can have the same pair of elements.
There are 103 different multisets, corresponding to 40 different inversion vectors v.
So there are 40 − 24 = 16 inversion vectors that permutations can not have — e.g. (4, 0, 0, 0), (0, 3, 0, 0) and (0, 0, 2, 0).

Permutations[edit | edit source]

Place based inversion sets[edit | edit source]

List[edit | edit source]

All sequences
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
S # # l p-b r u e-b v
0

[1,0,0,0;
1,0,0,0;
1,0,0,0;
1,0,0,0]

0000 0000 0 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
1

[1,0,0,0;
1,0,0,0;
1,0,0,0;
0,1,0,0]

0001 1000 1 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
2

[1,0,0,0;
1,0,0,0;
1,0,0,0;
0,0,1,0]

0002 2000 2 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
3

[1,0,0,0;
1,0,0,0;
1,0,0,0;
0,0,0,1]

0003 3000 3 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
4

[1,0,0,0;
1,0,0,0;
0,1,0,0;
1,0,0,0]

0010 0100 1 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 0010 0100 1 .. ... ... .. 1 1000 0001
5

[1,0,0,0;
1,0,0,0;
0,1,0,0;
0,1,0,0]

0011 1100 2 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
6

[1,0,0,0;
1,0,0,0;
0,1,0,0;
0,0,1,0]

0012 2100 3 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
7

[1,0,0,0;
1,0,0,0;
0,1,0,0;
0,0,0,1]

0013 3100 4 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
8

[1,0,0,0;
1,0,0,0;
0,0,1,0;
1,0,0,0]

0020 0200 2 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 0100 0010 . 1. ... ... .1 . 1000 0001
9

[1,0,0,0;
1,0,0,0;
0,0,1,0;
0,1,0,0]

0021 1200 3 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 0100 0010 . .1 ... ... 1. . 0100 0010
10

[1,0,0,0;
1,0,0,0;
0,0,1,0;
0,0,1,0]

0022 2200 4 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
11

[1,0,0,0;
1,0,0,0;
0,0,1,0;
0,0,0,1]

0023 3200 5 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
12

[1,0,0,0;
1,0,0,0;
0,0,0,1;
1,0,0,0]

0030 0300 3 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. 1.. ..1 .. . 1000 0001
13

[1,0,0,0;
1,0,0,0;
0,0,0,1;
0,1,0,0]

0031 1300 4 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. .1. .1. .. . 0100 0010
14

[1,0,0,0;
1,0,0,0;
0,0,0,1;
0,0,1,0]

0032 2300 5 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
15

[1,0,0,0;
1,0,0,0;
0,0,0,1;
0,0,0,1]

0033 3300 6 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
16

[1,0,0,0;
0,1,0,0;
1,0,0,0;
1,0,0,0]

0100 0010 1 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 0020 0200 2 .. ... ... .. 2 2000 0002
17

[1,0,0,0;
0,1,0,0;
1,0,0,0;
0,1,0,0]

0101 1010 2 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0010 0100 1 .. ... ... .. 1 1000 0001
18

[1,0,0,0;
0,1,0,0;
1,0,0,0;
0,0,1,0]

0102 2010 3 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0010 0100 1 .. ... ... .. 1 1000 0001
19

[1,0,0,0;
0,1,0,0;
1,0,0,0;
0,0,0,1]

0103 3010 4 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0010 0100 1 .. ... ... .. 1 1000 0001
20

[1,0,0,0;
0,1,0,0;
0,1,0,0;
1,0,0,0]

0110 0110 2 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 0020 0200 2 .. ... ... .. 2 2000 0002
21

[1,0,0,0;
0,1,0,0;
0,1,0,0;
0,1,0,0]

0111 1110 3 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
22

[1,0,0,0;
0,1,0,0;
0,1,0,0;
0,0,1,0]

0112 2110 4 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
23

[1,0,0,0;
0,1,0,0;
0,1,0,0;
0,0,0,1]

0113 3110 5 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
24

[1,0,0,0;
0,1,0,0;
0,0,1,0;
1,0,0,0]

0120 0210 3 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 0110 0110 1 1. ... ... .1 1 2000 0002
25

[1,0,0,0;
0,1,0,0;
0,0,1,0;
0,1,0,0]

0121 1210 4 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 0100 0010 . .1 ... ... 1. . 0100 0010
26

[1,0,0,0;
0,1,0,0;
0,0,1,0;
0,0,1,0]

0122 2210 5 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
27

[1,0,0,0;
0,1,0,0;
0,0,1,0;
0,0,0,1]

0123 3210 6 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
28

[1,0,0,0;
0,1,0,0;
0,0,0,1;
1,0,0,0]

0130 0310 4 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 1010 0101 1 .. 1.. ..1 .. 1 2000 0002
29

[1,0,0,0;
0,1,0,0;
0,0,0,1;
0,1,0,0]

0131 1310 5 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. .1. .1. .. . 0100 0010
30

[1,0,0,0;
0,1,0,0;
0,0,0,1;
0,0,1,0]

0132 2310 6 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
31

[1,0,0,0;
0,1,0,0;
0,0,0,1;
0,0,0,1]

0133 3310 7 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
32

[1,0,0,0;
0,0,1,0;
1,0,0,0;
1,0,0,0]

0200 0020 2 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 0200 0020 . 2. ... ... .2 . 2000 0002
33

[1,0,0,0;
0,0,1,0;
1,0,0,0;
0,1,0,0]

0201 1020 3 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 0200 0020 . 11 ... ... 11 . 1100 0011
34

[1,0,0,0;
0,0,1,0;
1,0,0,0;
0,0,1,0]

0202 2020 4 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . 1. ... ... .1 . 1000 0001
35

[1,0,0,0;
0,0,1,0;
1,0,0,0;
0,0,0,1]

0203 3020 5 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . 1. ... ... .1 . 1000 0001
36

[1,0,0,0;
0,0,1,0;
0,1,0,0;
1,0,0,0]

0210 0120 3 3 2100 0012 . .1 .11 4-el perm invset 14.svg 11. 1. . 0210 0120 0210 0120 1 11 ... ... 11 1 2100 0012
37

[1,0,0,0;
0,0,1,0;
0,1,0,0;
0,1,0,0]

0211 1120 4 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 0200 0020 . .2 ... ... 2. . 0200 0020
38

[1,0,0,0;
0,0,1,0;
0,1,0,0;
0,0,1,0]

0212 2120 5 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . .1 ... ... 1. . 0100 0010
39

[1,0,0,0;
0,0,1,0;
0,1,0,0;
0,0,0,1]

0213 3120 6 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . .1 ... ... 1. . 0100 0010
40

[1,0,0,0;
0,0,1,0;
0,0,1,0;
1,0,0,0]

0220 0220 4 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 0200 0020 . 2. ... ... .2 . 2000 0002
41

[1,0,0,0;
0,0,1,0;
0,0,1,0;
0,1,0,0]

0221 1220 5 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 0200 0020 . .2 ... ... 2. . 0200 0020
42

[1,0,0,0;
0,0,1,0;
0,0,1,0;
0,0,1,0]

0222 2220 6 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
43

[1,0,0,0;
0,0,1,0;
0,0,1,0;
0,0,0,1]

0223 3220 7 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
44

[1,0,0,0;
0,0,1,0;
0,0,0,1;
1,0,0,0]

0230 0320 5 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 1100 0011 . 1. 1.. ..1 .1 . 2000 0002
45

[1,0,0,0;
0,0,1,0;
0,0,0,1;
0,1,0,0]

0231 1320 6 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 1100 0011 . .1 .1. .1. 1. . 0200 0020
46

[1,0,0,0;
0,0,1,0;
0,0,0,1;
0,0,1,0]

0232 2320 7 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
47

[1,0,0,0;
0,0,1,0;
0,0,0,1;
0,0,0,1]

0233 3320 8 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
48

[1,0,0,0;
0,0,0,1;
1,0,0,0;
1,0,0,0]

0300 0030 3 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. 2.. ..2 .. . 2000 0002
49

[1,0,0,0;
0,0,0,1;
1,0,0,0;
0,1,0,0]

0301 1030 4 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. 11. .11 .. . 1100 0011
50

[1,0,0,0;
0,0,0,1;
1,0,0,0;
0,0,1,0]

0302 2030 5 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. 1.1 1.1 .. . 1010 0101
51

[1,0,0,0;
0,0,0,1;
1,0,0,0;
0,0,0,1]

0303 3030 6 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. 1.. ..1 .. . 1000 0001
52

[1,0,0,0;
0,0,0,1;
0,1,0,0;
1,0,0,0]

0310 0130 4 3 2100 0012 . .1 .11 4-el perm invset 14.svg 11. 1. . 0210 0120 2010 0102 1 .. 11. .11 .. 1 2100 0012
53

[1,0,0,0;
0,0,0,1;
0,1,0,0;
0,1,0,0]

0311 1130 5 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. .2. .2. .. . 0200 0020
54

[1,0,0,0;
0,0,0,1;
0,1,0,0;
0,0,1,0]

0312 2130 6 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. .11 11. .. . 0110 0110
55

[1,0,0,0;
0,0,0,1;
0,1,0,0;
0,0,0,1]

0313 3130 7 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. .1. .1. .. . 0100 0010
56

[1,0,0,0;
0,0,0,1;
0,0,1,0;
1,0,0,0]

0320 0230 5 3 2100 0012 . .1 .11 4-el perm invset 14.svg 11. 1. . 0210 0120 2100 0012 . 1. 1.1 1.1 .1 . 2010 0102
57

[1,0,0,0;
0,0,0,1;
0,0,1,0;
0,1,0,0]

0321 1230 6 3 2100 0012 . .1 .11 4-el perm invset 14.svg 11. 1. . 0210 0120 2100 0012 . .1 .11 11. 1. . 0210 0120
58

[1,0,0,0;
0,0,0,1;
0,0,1,0;
0,0,1,0]

0322 2230 7 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. ..2 2.. .. . 0020 0200
59

[1,0,0,0;
0,0,0,1;
0,0,1,0;
0,0,0,1]

0323 3230 8 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. ..1 1.. .. . 0010 0100
60

[1,0,0,0;
0,0,0,1;
0,0,0,1;
1,0,0,0]

0330 0330 6 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. 2.. ..2 .. . 2000 0002
61

[1,0,0,0;
0,0,0,1;
0,0,0,1;
0,1,0,0]

0331 1330 7 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. .2. .2. .. . 0200 0020
62

[1,0,0,0;
0,0,0,1;
0,0,0,1;
0,0,1,0]

0332 2330 8 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. ..2 2.. .. . 0020 0200
63

[1,0,0,0;
0,0,0,1;
0,0,0,1;
0,0,0,1]

0333 3330 9 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
64

[0,1,0,0;
1,0,0,0;
1,0,0,0;
1,0,0,0]

1000 0001 1 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 0030 0300 3 .. ... ... .. 3 3000 0003
65

[0,1,0,0;
1,0,0,0;
1,0,0,0;
0,1,0,0]

1001 1001 2 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0020 0200 2 .. ... ... .. 2 2000 0002
66

[0,1,0,0;
1,0,0,0;
1,0,0,0;
0,0,1,0]

1002 2001 3 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0020 0200 2 .. ... ... .. 2 2000 0002
67

[0,1,0,0;
1,0,0,0;
1,0,0,0;
0,0,0,1]

1003 3001 4 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0020 0200 2 .. ... ... .. 2 2000 0002
68

[0,1,0,0;
1,0,0,0;
0,1,0,0;
1,0,0,0]

1010 0101 2 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 0030 0300 3 .. ... ... .. 3 3000 0003
69

[0,1,0,0;
1,0,0,0;
0,1,0,0;
0,1,0,0]

1011 1101 3 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
70

[0,1,0,0;
1,0,0,0;
0,1,0,0;
0,0,1,0]

1012 2101 4 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
71

[0,1,0,0;
1,0,0,0;
0,1,0,0;
0,0,0,1]

1013 3101 5 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
72

[0,1,0,0;
1,0,0,0;
0,0,1,0;
1,0,0,0]

1020 0201 3 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 0120 0210 2 1. ... ... .1 2 3000 0003
73

[0,1,0,0;
1,0,0,0;
0,0,1,0;
0,1,0,0]

1021 1201 4 2 1010 0101 1 .. ..1 4-el perm invset 07.svg 1.. .. 1 1010 0101 0110 0110 1 .1 ... ... 1. 1 1100 0011
74

[0,1,0,0;
1,0,0,0;
0,0,1,0;
0,0,1,0]

1022 2201 5 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
75

[0,1,0,0;
1,0,0,0;
0,0,1,0;
0,0,0,1]

1023 3201 6 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
76

[0,1,0,0;
1,0,0,0;
0,0,0,1;
1,0,0,0]

1030 0301 4 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 1020 0201 2 .. 1.. ..1 .. 2 3000 0003
77

[0,1,0,0;
1,0,0,0;
0,0,0,1;
0,1,0,0]

1031 1301 5 2 1010 0101 1 .. ..1 4-el perm invset 07.svg 1.. .. 1 1010 0101 1010 0101 1 .. .1. .1. .. 1 1100 0011
78

[0,1,0,0;
1,0,0,0;
0,0,0,1;
0,0,1,0]

1032 2301 6 2 1010 0101 1 .. ..1 4-el perm invset 07.svg 1.. .. 1 1010 0101 1010 0101 1 .. ..1 1.. .. 1 1010 0101
79

[0,1,0,0;
1,0,0,0;
0,0,0,1;
0,0,0,1]

1033 3301 7 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0010 0100 1 .. ... ... .. 1 1000 0001
80

[0,1,0,0;
0,1,0,0;
1,0,0,0;
1,0,0,0]

1100 0011 2 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 0040 0400 4 .. ... ... .. 4 4000 0004
81

[0,1,0,0;
0,1,0,0;
1,0,0,0;
0,1,0,0]

1101 1011 3 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0020 0200 2 .. ... ... .. 2 2000 0002
82

[0,1,0,0;
0,1,0,0;
1,0,0,0;
0,0,1,0]

1102 2011 4 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0020 0200 2 .. ... ... .. 2 2000 0002
83

[0,1,0,0;
0,1,0,0;
1,0,0,0;
0,0,0,1]

1103 3011 5 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0020 0200 2 .. ... ... .. 2 2000 0002
84

[0,1,0,0;
0,1,0,0;
0,1,0,0;
1,0,0,0]

1110 0111 3 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 0030 0300 3 .. ... ... .. 3 3000 0003
85

[0,1,0,0;
0,1,0,0;
0,1,0,0;
0,1,0,0]

1111 1111 4 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
86

[0,1,0,0;
0,1,0,0;
0,1,0,0;
0,0,1,0]

1112 2111 5 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
87

[0,1,0,0;
0,1,0,0;
0,1,0,0;
0,0,0,1]

1113 3111 6 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
88

[0,1,0,0;
0,1,0,0;
0,0,1,0;
1,0,0,0]

1120 0211 4 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 0120 0210 2 1. ... ... .1 2 3000 0003
89

[0,1,0,0;
0,1,0,0;
0,0,1,0;
0,1,0,0]

1121 1211 5 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 0100 0010 . .1 ... ... 1. . 0100 0010
90

[0,1,0,0;
0,1,0,0;
0,0,1,0;
0,0,1,0]

1122 2211 6 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
91

[0,1,0,0;
0,1,0,0;
0,0,1,0;
0,0,0,1]

1123 3211 7 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
92

[0,1,0,0;
0,1,0,0;
0,0,0,1;
1,0,0,0]

1130 0311 5 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 1020 0201 2 .. 1.. ..1 .. 2 3000 0003
93

[0,1,0,0;
0,1,0,0;
0,0,0,1;
0,1,0,0]

1131 1311 6 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. .1. .1. .. . 0100 0010
94

[0,1,0,0;
0,1,0,0;
0,0,0,1;
0,0,1,0]

1132 2311 7 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
95

[0,1,0,0;
0,1,0,0;
0,0,0,1;
0,0,0,1]

1133 3311 8 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
96

[0,1,0,0;
0,0,1,0;
1,0,0,0;
1,0,0,0]

1200 0021 3 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 0220 0220 2 2. ... ... .2 2 4000 0004
97

[0,1,0,0;
0,0,1,0;
1,0,0,0;
0,1,0,0]

1201 1021 4 3 1200 0021 . 11 .1. 4-el perm invset 10.svg .1. 11 . 1200 0021 0210 0120 1 11 ... ... 11 1 2100 0012
98

[0,1,0,0;
0,0,1,0;
1,0,0,0;
0,0,1,0]

1202 2021 5 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0110 0110 1 1. ... ... .1 1 2000 0002
99

[0,1,0,0;
0,0,1,0;
1,0,0,0;
0,0,0,1]

1203 3021 6 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0110 0110 1 1. ... ... .1 1 2000 0002
100

[0,1,0,0;
0,0,1,0;
0,1,0,0;
1,0,0,0]

1210 0121 4 4 3100 0013 . .1 111 4-el perm invset 20.svg 111 1. . 1210 0121 0220 0220 2 11 ... ... 11 2 3100 0013
101

[0,1,0,0;
0,0,1,0;
0,1,0,0;
0,1,0,0]

1211 1121 5 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 0200 0020 . .2 ... ... 2. . 0200 0020
102

[0,1,0,0;
0,0,1,0;
0,1,0,0;
0,0,1,0]

1212 2121 6 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . .1 ... ... 1. . 0100 0010
103

[0,1,0,0;
0,0,1,0;
0,1,0,0;
0,0,0,1]

1213 3121 7 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 0100 0010 . .1 ... ... 1. . 0100 0010
104

[0,1,0,0;
0,0,1,0;
0,0,1,0;
1,0,0,0]

1220 0221 5 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 0210 0120 1 2. ... ... .2 1 3000 0003
105

[0,1,0,0;
0,0,1,0;
0,0,1,0;
0,1,0,0]

1221 1221 6 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 0200 0020 . .2 ... ... 2. . 0200 0020
106

[0,1,0,0;
0,0,1,0;
0,0,1,0;
0,0,1,0]

1222 2221 7 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
107

[0,1,0,0;
0,0,1,0;
0,0,1,0;
0,0,0,1]

1223 3221 8 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
108

[0,1,0,0;
0,0,1,0;
0,0,0,1;
1,0,0,0]

1230 0321 6 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 1110 0111 1 1. 1.. ..1 .1 1 3000 0003
109

[0,1,0,0;
0,0,1,0;
0,0,0,1;
0,1,0,0]

1231 1321 7 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 1100 0011 . .1 .1. .1. 1. . 0200 0020
110

[0,1,0,0;
0,0,1,0;
0,0,0,1;
0,0,1,0]

1232 2321 8 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
111

[0,1,0,0;
0,0,1,0;
0,0,0,1;
0,0,0,1]

1233 3321 9 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
112

[0,1,0,0;
0,0,0,1;
1,0,0,0;
1,0,0,0]

1300 0031 4 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 2020 0202 2 .. 2.. ..2 .. 2 4000 0004
113

[0,1,0,0;
0,0,0,1;
1,0,0,0;
0,1,0,0]

1301 1031 5 3 1200 0021 . 11 .1. 4-el perm invset 10.svg .1. 11 . 1200 0021 2010 0102 1 .. 11. .11 .. 1 2100 0012
114

[0,1,0,0;
0,0,0,1;
1,0,0,0;
0,0,1,0]

1302 2031 6 3 1200 0021 . 11 .1. 4-el perm invset 10.svg .1. 11 . 1200 0021 2010 0102 1 .. 1.1 1.1 .. 1 2010 0102
115

[0,1,0,0;
0,0,0,1;
1,0,0,0;
0,0,0,1]

1303 3031 7 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 1010 0101 1 .. 1.. ..1 .. 1 2000 0002
116

[0,1,0,0;
0,0,0,1;
0,1,0,0;
1,0,0,0]

1310 0131 5 4 3100 0013 . .1 111 4-el perm invset 20.svg 111 1. . 1210 0121 2020 0202 2 .. 11. .11 .. 2 3100 0013
117

[0,1,0,0;
0,0,0,1;
0,1,0,0;
0,1,0,0]

1311 1131 6 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. .2. .2. .. . 0200 0020
118

[0,1,0,0;
0,0,0,1;
0,1,0,0;
0,0,1,0]

1312 2131 7 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. .11 11. .. . 0110 0110
119

[0,1,0,0;
0,0,0,1;
0,1,0,0;
0,0,0,1]

1313 3131 8 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. .1. .1. .. . 0100 0010
120

[0,1,0,0;
0,0,0,1;
0,0,1,0;
1,0,0,0]

1320 0231 6 4 3100 0013 . .1 111 4-el perm invset 20.svg 111 1. . 1210 0121 2110 0112 1 1. 1.1 1.1 .1 1 3010 0103
121

[0,1,0,0;
0,0,0,1;
0,0,1,0;
0,1,0,0]

1321 1231 7 3 2100 0012 . .1 .11 4-el perm invset 14.svg 11. 1. . 0210 0120 2100 0012 . .1 .11 11. 1. . 0210 0120
122

[0,1,0,0;
0,0,0,1;
0,0,1,0;
0,0,1,0]

1322 2231 8 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. ..2 2.. .. . 0020 0200
123

[0,1,0,0;
0,0,0,1;
0,0,1,0;
0,0,0,1]

1323 3231 9 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. ..1 1.. .. . 0010 0100
124

[0,1,0,0;
0,0,0,1;
0,0,0,1;
1,0,0,0]

1330 0331 7 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 2010 0102 1 .. 2.. ..2 .. 1 3000 0003
125

[0,1,0,0;
0,0,0,1;
0,0,0,1;
0,1,0,0]

1331 1331 8 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. .2. .2. .. . 0200 0020
126

[0,1,0,0;
0,0,0,1;
0,0,0,1;
0,0,1,0]

1332 2331 9 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. ..2 2.. .. . 0020 0200
127

[0,1,0,0;
0,0,0,1;
0,0,0,1;
0,0,0,1]

1333 3331 10 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
128

[0,0,1,0;
1,0,0,0;
1,0,0,0;
1,0,0,0]

2000 0002 2 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 0300 0030 . 3. ... ... .3 . 3000 0003
129

[0,0,1,0;
1,0,0,0;
1,0,0,0;
0,1,0,0]

2001 1002 3 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 0300 0030 . 21 ... ... 12 . 2100 0012
130

[0,0,1,0;
1,0,0,0;
1,0,0,0;
0,0,1,0]

2002 2002 4 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . 2. ... ... .2 . 2000 0002
131

[0,0,1,0;
1,0,0,0;
1,0,0,0;
0,0,0,1]

2003 3002 5 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . 2. ... ... .2 . 2000 0002
132

[0,0,1,0;
1,0,0,0;
0,1,0,0;
1,0,0,0]

2010 0102 3 4 2110 0112 1 1. 1.1 4-el perm invset 15.svg 1.1 .1 1 3010 0103 0310 0130 1 21 ... ... 12 1 3100 0013
133

[0,0,1,0;
1,0,0,0;
0,1,0,0;
0,1,0,0]

2011 1102 4 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 0300 0030 . 12 ... ... 21 . 1200 0021
134

[0,0,1,0;
1,0,0,0;
0,1,0,0;
0,0,1,0]

2012 2102 5 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . 11 ... ... 11 . 1100 0011
135

[0,0,1,0;
1,0,0,0;
0,1,0,0;
0,0,0,1]

2013 3102 6 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . 11 ... ... 11 . 1100 0011
136

[0,0,1,0;
1,0,0,0;
0,0,1,0;
1,0,0,0]

2020 0202 4 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 0300 0030 . 3. ... ... .3 . 3000 0003
137

[0,0,1,0;
1,0,0,0;
0,0,1,0;
0,1,0,0]

2021 1202 5 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 0300 0030 . 12 ... ... 21 . 1200 0021
138

[0,0,1,0;
1,0,0,0;
0,0,1,0;
0,0,1,0]

2022 2202 6 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . 1. ... ... .1 . 1000 0001
139

[0,0,1,0;
1,0,0,0;
0,0,1,0;
0,0,0,1]

2023 3202 7 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . 1. ... ... .1 . 1000 0001
140

[0,0,1,0;
1,0,0,0;
0,0,0,1;
1,0,0,0]

2030 0302 5 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 1200 0021 . 2. 1.. ..1 .2 . 3000 0003
141

[0,0,1,0;
1,0,0,0;
0,0,0,1;
0,1,0,0]

2031 1302 6 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 1200 0021 . 11 .1. .1. 11 . 1200 0021
142

[0,0,1,0;
1,0,0,0;
0,0,0,1;
0,0,1,0]

2032 2302 7 2 1010 0101 1 .. ..1 4-el perm invset 07.svg 1.. .. 1 1010 0101 1100 0011 . 1. ..1 1.. .1 . 1010 0101
143

[0,0,1,0;
1,0,0,0;
0,0,0,1;
0,0,0,1]

2033 3302 8 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . 1. ... ... .1 . 1000 0001
144

[0,0,1,0;
0,1,0,0;
1,0,0,0;
1,0,0,0]

2100 0012 3 5 2210 0122 1 11 11. 4-el perm invset 17.svg .11 11 1 3200 0023 0320 0230 2 21 ... ... 12 2 4100 0014
145

[0,0,1,0;
0,1,0,0;
1,0,0,0;
0,1,0,0]

2101 1012 4 4 1210 0121 1 11 1.. 4-el perm invset 11.svg ..1 11 1 3100 0013 0310 0130 1 12 ... ... 21 1 2200 0022
146

[0,0,1,0;
0,1,0,0;
1,0,0,0;
0,0,1,0]

2102 2012 5 3 0210 0120 1 11 ... 4-el perm invset 05.svg ... 11 1 2100 0012 0210 0120 1 11 ... ... 11 1 2100 0012
147

[0,0,1,0;
0,1,0,0;
1,0,0,0;
0,0,0,1]

2103 3012 6 3 0210 0120 1 11 ... 4-el perm invset 05.svg ... 11 1 2100 0012 0210 0120 1 11 ... ... 11 1 2100 0012
148

[0,0,1,0;
0,1,0,0;
0,1,0,0;
1,0,0,0]

2110 0112 4 5 3110 0113 1 1. 111 4-el perm invset 21.svg 111 .1 1 3110 0113 0320 0230 2 12 ... ... 21 2 3200 0023
149

[0,0,1,0;
0,1,0,0;
0,1,0,0;
0,1,0,0]

2111 1112 5 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 0300 0030 . .3 ... ... 3. . 0300 0030
150

[0,0,1,0;
0,1,0,0;
0,1,0,0;
0,0,1,0]

2112 2112 6 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . .2 ... ... 2. . 0200 0020
151

[0,0,1,0;
0,1,0,0;
0,1,0,0;
0,0,0,1]

2113 3112 7 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 0200 0020 . .2 ... ... 2. . 0200 0020
152

[0,0,1,0;
0,1,0,0;
0,0,1,0;
1,0,0,0]

2120 0212 5 4 3010 0103 1 .. 111 4-el perm invset 19.svg 111 .. 1 2110 0112 0310 0130 1 21 ... ... 12 1 3100 0013
153

[0,0,1,0;
0,1,0,0;
0,0,1,0;
0,1,0,0]

2121 1212 6 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 0300 0030 . .3 ... ... 3. . 0300 0030
154

[0,0,1,0;
0,1,0,0;
0,0,1,0;
0,0,1,0]

2122 2212 7 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . .1 ... ... 1. . 0100 0010
155

[0,0,1,0;
0,1,0,0;
0,0,1,0;
0,0,0,1]

2123 3212 8 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . .1 ... ... 1. . 0100 0010
156

[0,0,1,0;
0,1,0,0;
0,0,0,1;
1,0,0,0]

2130 0312 6 4 3010 0103 1 .. 111 4-el perm invset 19.svg 111 .. 1 2110 0112 1210 0121 1 11 1.. ..1 11 1 3100 0013
157

[0,0,1,0;
0,1,0,0;
0,0,0,1;
0,1,0,0]

2131 1312 7 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 1200 0021 . .2 .1. .1. 2. . 0300 0030
158

[0,0,1,0;
0,1,0,0;
0,0,0,1;
0,0,1,0]

2132 2312 8 2 1010 0101 1 .. ..1 4-el perm invset 07.svg 1.. .. 1 1010 0101 1100 0011 . .1 ..1 1.. 1. . 0110 0110
159

[0,0,1,0;
0,1,0,0;
0,0,0,1;
0,0,0,1]

2133 3312 9 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 0100 0010 . .1 ... ... 1. . 0100 0010
160

[0,0,1,0;
0,0,1,0;
1,0,0,0;
1,0,0,0]

2200 0022 4 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 0400 0040 . 4. ... ... .4 . 4000 0004
161

[0,0,1,0;
0,0,1,0;
1,0,0,0;
0,1,0,0]

2201 1022 5 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 0400 0040 . 22 ... ... 22 . 2200 0022
162

[0,0,1,0;
0,0,1,0;
1,0,0,0;
0,0,1,0]

2202 2022 6 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0200 0020 . 2. ... ... .2 . 2000 0002
163

[0,0,1,0;
0,0,1,0;
1,0,0,0;
0,0,0,1]

2203 3022 7 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0200 0020 . 2. ... ... .2 . 2000 0002
164

[0,0,1,0;
0,0,1,0;
0,1,0,0;
1,0,0,0]

2210 0122 5 5 3200 0023 . 11 111 4-el perm invset 22.svg 111 11 . 2210 0122 0410 0140 1 22 ... ... 22 1 3200 0023
165

[0,0,1,0;
0,0,1,0;
0,1,0,0;
0,1,0,0]

2211 1122 6 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 0400 0040 . .4 ... ... 4. . 0400 0040
166

[0,0,1,0;
0,0,1,0;
0,1,0,0;
0,0,1,0]

2212 2122 7 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0200 0020 . .2 ... ... 2. . 0200 0020
167

[0,0,1,0;
0,0,1,0;
0,1,0,0;
0,0,0,1]

2213 3122 8 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 0200 0020 . .2 ... ... 2. . 0200 0020
168

[0,0,1,0;
0,0,1,0;
0,0,1,0;
1,0,0,0]

2220 0222 6 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 0300 0030 . 3. ... ... .3 . 3000 0003
169

[0,0,1,0;
0,0,1,0;
0,0,1,0;
0,1,0,0]

2221 1222 7 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 0300 0030 . .3 ... ... 3. . 0300 0030
170

[0,0,1,0;
0,0,1,0;
0,0,1,0;
0,0,1,0]

2222 2222 8 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
171

[0,0,1,0;
0,0,1,0;
0,0,1,0;
0,0,0,1]

2223 3222 9 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
172

[0,0,1,0;
0,0,1,0;
0,0,0,1;
1,0,0,0]

2230 0322 7 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 1200 0021 . 2. 1.. ..1 .2 . 3000 0003
173

[0,0,1,0;
0,0,1,0;
0,0,0,1;
0,1,0,0]

2231 1322 8 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 1200 0021 . .2 .1. .1. 2. . 0300 0030
174

[0,0,1,0;
0,0,1,0;
0,0,0,1;
0,0,1,0]

2232 2322 9 1 1000 0001 . .. ..1 4-el perm invset 06.svg 1.. .. . 0010 0100 1000 0001 . .. ..1 1.. .. . 0010 0100
175

[0,0,1,0;
0,0,1,0;
0,0,0,1;
0,0,0,1]

2233 3322 10 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
176

[0,0,1,0;
0,0,0,1;
1,0,0,0;
1,0,0,0]

2300 0032 5 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 2200 0022 . 2. 2.. ..2 .2 . 4000 0004
177

[0,0,1,0;
0,0,0,1;
1,0,0,0;
0,1,0,0]

2301 1032 6 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 2200 0022 . 11 11. .11 11 . 2200 0022
178

[0,0,1,0;
0,0,0,1;
1,0,0,0;
0,0,1,0]

2302 2032 7 3 1200 0021 . 11 .1. 4-el perm invset 10.svg .1. 11 . 1200 0021 2100 0012 . 1. 1.1 1.1 .1 . 2010 0102
179

[0,0,1,0;
0,0,0,1;
1,0,0,0;
0,0,0,1]

2303 3032 8 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 1100 0011 . 1. 1.. ..1 .1 . 2000 0002
180

[0,0,1,0;
0,0,0,1;
0,1,0,0;
1,0,0,0]

2310 0132 6 5 3200 0023 . 11 111 4-el perm invset 22.svg 111 11 . 2210 0122 2210 0122 1 11 11. .11 11 1 3200 0023
181

[0,0,1,0;
0,0,0,1;
0,1,0,0;
0,1,0,0]

2311 1132 7 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 2200 0022 . .2 .2. .2. 2. . 0400 0040
182

[0,0,1,0;
0,0,0,1;
0,1,0,0;
0,0,1,0]

2312 2132 8 3 1200 0021 . 11 .1. 4-el perm invset 10.svg .1. 11 . 1200 0021 2100 0012 . .1 .11 11. 1. . 0210 0120
183

[0,0,1,0;
0,0,0,1;
0,1,0,0;
0,0,0,1]

2313 3132 9 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 1100 0011 . .1 .1. .1. 1. . 0200 0020
184

[0,0,1,0;
0,0,0,1;
0,0,1,0;
1,0,0,0]

2320 0232 7 4 3100 0013 . .1 111 4-el perm invset 20.svg 111 1. . 1210 0121 2200 0022 . 2. 1.1 1.1 .2 . 3010 0103
185

[0,0,1,0;
0,0,0,1;
0,0,1,0;
0,1,0,0]

2321 1232 8 4 3100 0013 . .1 111 4-el perm invset 20.svg 111 1. . 1210 0121 2200 0022 . .2 .11 11. 2. . 0310 0130
186

[0,0,1,0;
0,0,0,1;
0,0,1,0;
0,0,1,0]

2322 2232 9 2 1100 0011 . .1 .1. 4-el perm invset 08.svg .1. 1. . 0200 0020 2000 0002 . .. ..2 2.. .. . 0020 0200
187

[0,0,1,0;
0,0,0,1;
0,0,1,0;
0,0,0,1]

2323 3232 10 1 0100 0010 . .1 ... 4-el perm invset 02.svg ... 1. . 0100 0010 1000 0001 . .. ..1 1.. .. . 0010 0100
188

[0,0,1,0;
0,0,0,1;
0,0,0,1;
1,0,0,0]

2330 0332 8 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 2100 0012 . 1. 2.. ..2 .1 . 3000 0003
189

[0,0,1,0;
0,0,0,1;
0,0,0,1;
0,1,0,0]

2331 1332 9 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 2100 0012 . .1 .2. .2. 1. . 0300 0030
190

[0,0,1,0;
0,0,0,1;
0,0,0,1;
0,0,1,0]

2332 2332 10 2 2000 0002 . .. .11 4-el perm invset 12.svg 11. .. . 0110 0110 2000 0002 . .. ..2 2.. .. . 0020 0200
191

[0,0,1,0;
0,0,0,1;
0,0,0,1;
0,0,0,1]

2333 3332 11 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000
192

[0,0,0,1;
1,0,0,0;
1,0,0,0;
1,0,0,0]

3000 0003 3 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 3.. ..3 .. . 3000 0003
193

[0,0,0,1;
1,0,0,0;
1,0,0,0;
0,1,0,0]

3001 1003 4 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 21. .12 .. . 2100 0012
194

[0,0,0,1;
1,0,0,0;
1,0,0,0;
0,0,1,0]

3002 2003 5 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 2.1 1.2 .. . 2010 0102
195

[0,0,0,1;
1,0,0,0;
1,0,0,0;
0,0,0,1]

3003 3003 6 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. 2.. ..2 .. . 2000 0002
196

[0,0,0,1;
1,0,0,0;
0,1,0,0;
1,0,0,0]

3010 0103 4 4 2110 0112 1 1. 1.1 4-el perm invset 15.svg 1.1 .1 1 3010 0103 3010 0103 1 .. 21. .12 .. 1 3100 0013
197

[0,0,0,1;
1,0,0,0;
0,1,0,0;
0,1,0,0]

3011 1103 5 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 12. .21 .. . 1200 0021
198

[0,0,0,1;
1,0,0,0;
0,1,0,0;
0,0,1,0]

3012 2103 6 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 111 111 .. . 1110 0111
199

[0,0,0,1;
1,0,0,0;
0,1,0,0;
0,0,0,1]

3013 3103 7 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. 11. .11 .. . 1100 0011
200

[0,0,0,1;
1,0,0,0;
0,0,1,0;
1,0,0,0]

3020 0203 5 4 2110 0112 1 1. 1.1 4-el perm invset 15.svg 1.1 .1 1 3010 0103 3100 0013 . 1. 2.1 1.2 .1 . 3010 0103
201

[0,0,0,1;
1,0,0,0;
0,0,1,0;
0,1,0,0]

3021 1203 6 4 2110 0112 1 1. 1.1 4-el perm invset 15.svg 1.1 .1 1 3010 0103 3100 0013 . .1 111 111 1. . 1210 0121
202

[0,0,0,1;
1,0,0,0;
0,0,1,0;
0,0,1,0]

3022 2203 7 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. 1.2 2.1 .. . 1020 0201
203

[0,0,0,1;
1,0,0,0;
0,0,1,0;
0,0,0,1]

3023 3203 8 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. 1.1 1.1 .. . 1010 0101
204

[0,0,0,1;
1,0,0,0;
0,0,0,1;
1,0,0,0]

3030 0303 6 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. 3.. ..3 .. . 3000 0003
205

[0,0,0,1;
1,0,0,0;
0,0,0,1;
0,1,0,0]

3031 1303 7 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. 12. .21 .. . 1200 0021
206

[0,0,0,1;
1,0,0,0;
0,0,0,1;
0,0,1,0]

3032 2303 8 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. 1.2 2.1 .. . 1020 0201
207

[0,0,0,1;
1,0,0,0;
0,0,0,1;
0,0,0,1]

3033 3303 9 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 1000 0001 . .. 1.. ..1 .. . 1000 0001
208

[0,0,0,1;
0,1,0,0;
1,0,0,0;
1,0,0,0]

3100 0013 4 5 2210 0122 1 11 11. 4-el perm invset 17.svg .11 11 1 3200 0023 3020 0203 2 .. 21. .12 .. 2 4100 0014
209

[0,0,0,1;
0,1,0,0;
1,0,0,0;
0,1,0,0]

3101 1013 5 4 1210 0121 1 11 1.. 4-el perm invset 11.svg ..1 11 1 3100 0013 3010 0103 1 .. 12. .21 .. 1 2200 0022
210

[0,0,0,1;
0,1,0,0;
1,0,0,0;
0,0,1,0]

3102 2013 6 4 1210 0121 1 11 1.. 4-el perm invset 11.svg ..1 11 1 3100 0013 3010 0103 1 .. 111 111 .. 1 2110 0112
211

[0,0,0,1;
0,1,0,0;
1,0,0,0;
0,0,0,1]

3103 3013 7 3 0210 0120 1 11 ... 4-el perm invset 05.svg ... 11 1 2100 0012 2010 0102 1 .. 11. .11 .. 1 2100 0012
212

[0,0,0,1;
0,1,0,0;
0,1,0,0;
1,0,0,0]

3110 0113 5 5 3110 0113 1 1. 111 4-el perm invset 21.svg 111 .1 1 3110 0113 3020 0203 2 .. 12. .21 .. 2 3200 0023
213

[0,0,0,1;
0,1,0,0;
0,1,0,0;
0,1,0,0]

3111 1113 6 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. .3. .3. .. . 0300 0030
214

[0,0,0,1;
0,1,0,0;
0,1,0,0;
0,0,1,0]

3112 2113 7 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. .21 12. .. . 0210 0120
215

[0,0,0,1;
0,1,0,0;
0,1,0,0;
0,0,0,1]

3113 3113 8 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. .2. .2. .. . 0200 0020
216

[0,0,0,1;
0,1,0,0;
0,0,1,0;
1,0,0,0]

3120 0213 6 5 3110 0113 1 1. 111 4-el perm invset 21.svg 111 .1 1 3110 0113 3110 0113 1 1. 111 111 .1 1 3110 0113
217

[0,0,0,1;
0,1,0,0;
0,0,1,0;
0,1,0,0]

3121 1213 7 4 2110 0112 1 1. 1.1 4-el perm invset 15.svg 1.1 .1 1 3010 0103 3100 0013 . .1 .21 12. 1. . 0310 0130
218

[0,0,0,1;
0,1,0,0;
0,0,1,0;
0,0,1,0]

3122 2213 8 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. .12 21. .. . 0120 0210
219

[0,0,0,1;
0,1,0,0;
0,0,1,0;
0,0,0,1]

3123 3213 9 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. .11 11. .. . 0110 0110
220

[0,0,0,1;
0,1,0,0;
0,0,0,1;
1,0,0,0]

3130 0313 7 4 3010 0103 1 .. 111 4-el perm invset 19.svg 111 .. 1 2110 0112 3010 0103 1 .. 21. .12 .. 1 3100 0013
221

[0,0,0,1;
0,1,0,0;
0,0,0,1;
0,1,0,0]

3131 1313 8 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. .3. .3. .. . 0300 0030
222

[0,0,0,1;
0,1,0,0;
0,0,0,1;
0,0,1,0]

3132 2313 9 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. .12 21. .. . 0120 0210
223

[0,0,0,1;
0,1,0,0;
0,0,0,1;
0,0,0,1]

3133 3313 10 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 1000 0001 . .. .1. .1. .. . 0100 0010
224

[0,0,0,1;
0,0,1,0;
1,0,0,0;
1,0,0,0]

3200 0023 5 5 2210 0122 1 11 11. 4-el perm invset 17.svg .11 11 1 3200 0023 3200 0023 . 2. 2.1 1.2 .2 . 4010 0104
225

[0,0,0,1;
0,0,1,0;
1,0,0,0;
0,1,0,0]

3201 1023 6 5 2210 0122 1 11 11. 4-el perm invset 17.svg .11 11 1 3200 0023 3200 0023 . 11 111 111 11 . 2210 0122
226

[0,0,0,1;
0,0,1,0;
1,0,0,0;
0,0,1,0]

3202 2023 7 4 1210 0121 1 11 1.. 4-el perm invset 11.svg ..1 11 1 3100 0013 3100 0013 . 1. 1.2 2.1 .1 . 2020 0202
227

[0,0,0,1;
0,0,1,0;
1,0,0,0;
0,0,0,1]

3203 3023 8 3 0210 0120 1 11 ... 4-el perm invset 05.svg ... 11 1 2100 0012 2100 0012 . 1. 1.1 1.1 .1 . 2010 0102
228

[0,0,0,1;
0,0,1,0;
0,1,0,0;
1,0,0,0]

3210 0123 6 6 3210 0123 1 11 111 4-el perm invset 23.svg 111 11 1 3210 0123 3210 0123 1 11 111 111 11 1 3210 0123
229

[0,0,0,1;
0,0,1,0;
0,1,0,0;
0,1,0,0]

3211 1123 7 5 2210 0122 1 11 11. 4-el perm invset 17.svg .11 11 1 3200 0023 3200 0023 . .2 .21 12. 2. . 0410 0140
230

[0,0,0,1;
0,0,1,0;
0,1,0,0;
0,0,1,0]

3212 2123 8 4 1210 0121 1 11 1.. 4-el perm invset 11.svg ..1 11 1 3100 0013 3100 0013 . .1 .12 21. 1. . 0220 0220
231

[0,0,0,1;
0,0,1,0;
0,1,0,0;
0,0,0,1]

3213 3123 9 3 0210 0120 1 11 ... 4-el perm invset 05.svg ... 11 1 2100 0012 2100 0012 . .1 .11 11. 1. . 0210 0120
232

[0,0,0,1;
0,0,1,0;
0,0,1,0;
1,0,0,0]

3220 0223 7 5 3110 0113 1 1. 111 4-el perm invset 21.svg 111 .1 1 3110 0113 3200 0023 . 2. 1.2 2.1 .2 . 3020 0203
233

[0,0,0,1;
0,0,1,0;
0,0,1,0;
0,1,0,0]

3221 1223 8 5 3110 0113 1 1. 111 4-el perm invset 21.svg 111 .1 1 3110 0113 3200 0023 . .2 .12 21. 2. . 0320 0230
234

[0,0,0,1;
0,0,1,0;
0,0,1,0;
0,0,1,0]

3222 2223 9 3 1110 0111 1 1. 1.. 4-el perm invset 09.svg ..1 .1 1 3000 0003 3000 0003 . .. ..3 3.. .. . 0030 0300
235

[0,0,0,1;
0,0,1,0;
0,0,1,0;
0,0,0,1]

3223 3223 10 2 0110 0110 1 1. ... 4-el perm invset 03.svg ... .1 1 2000 0002 2000 0002 . .. ..2 2.. .. . 0020 0200
236

[0,0,0,1;
0,0,1,0;
0,0,0,1;
1,0,0,0]

3230 0323 8 4 3010 0103 1 .. 111 4-el perm invset 19.svg 111 .. 1 2110 0112 3100 0013 . 1. 2.1 1.2 .1 . 3010 0103
237

[0,0,0,1;
0,0,1,0;
0,0,0,1;
0,1,0,0]

3231 1323 9 4 3010 0103 1 .. 111 4-el perm invset 19.svg 111 .. 1 2110 0112 3100 0013 . .1 .21 12. 1. . 0310 0130
238

[0,0,0,1;
0,0,1,0;
0,0,0,1;
0,0,1,0]

3232 2323 10 3 2010 0102 1 .. 1.1 4-el perm invset 13.svg 1.1 .. 1 2010 0102 3000 0003 . .. ..3 3.. .. . 0030 0300
239

[0,0,0,1;
0,0,1,0;
0,0,0,1;
0,0,0,1]

3233 3323 11 1 0010 0100 1 .. ... 4-el perm invset 01.svg ... .. 1 1000 0001 1000 0001 . .. ..1 1.. .. . 0010 0100
240

[0,0,0,1;
0,0,0,1;
1,0,0,0;
1,0,0,0]

3300 0033 6 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. 4.. ..4 .. . 4000 0004
241

[0,0,0,1;
0,0,0,1;
1,0,0,0;
0,1,0,0]

3301 1033 7 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. 22. .22 .. . 2200 0022
242

[0,0,0,1;
0,0,0,1;
1,0,0,0;
0,0,1,0]

3302 2033 8 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. 2.2 2.2 .. . 2020 0202
243

[0,0,0,1;
0,0,0,1;
1,0,0,0;
0,0,0,1]

3303 3033 9 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 2000 0002 . .. 2.. ..2 .. . 2000 0002
244

[0,0,0,1;
0,0,0,1;
0,1,0,0;
1,0,0,0]

3310 0133 7 5 3200 0023 . 11 111 4-el perm invset 22.svg 111 11 . 2210 0122 4010 0104 1 .. 22. .22 .. 1 3200 0023
245

[0,0,0,1;
0,0,0,1;
0,1,0,0;
0,1,0,0]

3311 1133 8 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. .4. .4. .. . 0400 0040
246

[0,0,0,1;
0,0,0,1;
0,1,0,0;
0,0,1,0]

3312 2133 9 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. .22 22. .. . 0220 0220
247

[0,0,0,1;
0,0,0,1;
0,1,0,0;
0,0,0,1]

3313 3133 10 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 2000 0002 . .. .2. .2. .. . 0200 0020
248

[0,0,0,1;
0,0,0,1;
0,0,1,0;
1,0,0,0]

3320 0233 8 5 3200 0023 . 11 111 4-el perm invset 22.svg 111 11 . 2210 0122 4100 0014 . 1. 2.2 2.2 .1 . 3020 0203
249

[0,0,0,1;
0,0,0,1;
0,0,1,0;
0,1,0,0]

3321 1233 9 5 3200 0023 . 11 111 4-el perm invset 22.svg 111 11 . 2210 0122 4100 0014 . .1 .22 22. 1. . 0320 0230
250

[0,0,0,1;
0,0,0,1;
0,0,1,0;
0,0,1,0]

3322 2233 10 4 2200 0022 . 11 11. 4-el perm invset 16.svg .11 11 . 2200 0022 4000 0004 . .. ..4 4.. .. . 0040 0400
251

[0,0,0,1;
0,0,0,1;
0,0,1,0;
0,0,0,1]

3323 3233 11 2 0200 0020 . 11 ... 4-el perm invset 04.svg ... 11 . 1100 0011 2000 0002 . .. ..2 2.. .. . 0020 0200
252

[0,0,0,1;
0,0,0,1;
0,0,0,1;
1,0,0,0]

3330 0333 9 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 3000 0003 . .. 3.. ..3 .. . 3000 0003
253

[0,0,0,1;
0,0,0,1;
0,0,0,1;
0,1,0,0]

3331 1333 10 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 3000 0003 . .. .3. .3. .. . 0300 0030
254

[0,0,0,1;
0,0,0,1;
0,0,0,1;
0,0,1,0]

3332 2333 11 3 3000 0003 . .. 111 4-el perm invset 18.svg 111 .. . 1110 0111 3000 0003 . .. ..3 3.. .. . 0030 0300
255

[0,0,0,1;
0,0,0,1;
0,0,0,1;
0,0,0,1]

3333 3333 12 0 0000 0000 . .. ... 4-el perm invset 00.svg ... .. . 0000 0000 0000 0000 . .. ... ... .. . 0000 0000