Net topology

cnd

Ingested production record from rcsr+mofplus. Per-field provenance in field_sources.

JSON · mfpx

204 vertices and 408 edges in the unit cell. 106 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
P63/mmc (No. 194)
Cell lengths
a = 4.4356 Å, b = 4.4356 Å, c = 21.3465 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell
204
Transitivity pqrs
19, 29, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 14 0 0 0 5 15 0 0 0 5 16 0 0 0 6 11 0 0 0 6 17 0 0 0 6 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 14 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 26 0 0 0 10 27 0 0 0 10 28 0 0 0 11 29 0 0 0 11 30 0 0 0 12 22 1 0 0 12 24 0 0 0 12 31 0 0 0 13 15 0 0 0 13 32 0 0 0 13 33 0 0 0 14 31 -1 0 0 14 34 0 0 0 15 35 0 0 0 15 36 0 0 0 16 17 0 1 0 16 28 0 0 0 16 29 0 1 0 17 31 -1 -1 0 17 37 0 0 0 18 21 0 0 0 18 33 -1 -1 0 18 38 0 0 0 19 23 0 0 0 19 37 0 0 0 19 39 0 0 0 20 26 0 0 0 20 40 0 0 0 20 41 0 0 0 21 36 -1 -1 0 21 42 0 0 0 22 29 -1 0 0 22 41 0 0 0 23 43 0 0 0 23 44 0 0 0 24 41 1 0 0 24 45 0 0 0 25 27 0 0 0 25 46 0 0 0 25 47 0 0 0 26 45 -1 0 0 26 48 0 0 0 27 49 0 0 0 27 50 0 0 0 28 37 0 1 0 28 43 0 1 0 29 36 0 -1 0 30 32 0 0 0 30 38 0 0 0 30 51 0 0 0 31 33 0 0 0 32 52 0 0 0 32 53 0 0 0 33 54 0 0 0 34 35 0 0 0 34 42 0 0 0 34 54 -1 0 0 35 52 0 0 0 35 55 0 0 0 36 51 0 1 0 37 45 -1 -1 0 38 56 0 0 0 38 57 0 0 0 39 40 0 0 0 39 47 -1 -1 0 39 58 0 0 0 40 50 -1 -1 0 40 59 0 0 0 41 43 -1 0 0 42 57 0 0 0 42 60 0 0 0 43 50 0 -1 0 44 46 0 0 0 44 58 0 0 0 44 61 0 0 0 45 47 0 0 0 46 62 0 0 0 46 63 0 0 0 47 64 0 0 0 48 49 0 0 0 48 59 0 0 0 48 64 -1 0 0 49 62 0 0 0 49 65 0 0 0 50 61 0 1 0 51 55 0 -1 0 51 60 1 0 0 52 57 0 0 0 52 66 0 0 0 53 54 0 0 0 53 60 1 0 0 53 67 0 0 0 54 56 1 1 0 55 56 0 1 0 55 68 0 0 0 56 69 0 0 0 57 70 0 0 0 58 71 0 0 0 58 72 0 0 0 59 72 0 0 0 59 73 0 0 0 60 74 0 0 0 61 65 0 -1 0 61 73 1 0 0 62 72 0 0 0 62 75 0 0 0 63 64 0 0 0 63 73 1 0 0 63 76 0 0 0 64 71 1 1 0 65 71 0 1 0 65 77 0 0 0 66 70 0 0 0 66 78 0 0 0 66 79 0 0 0 67 74 1 0 0 67 78 0 0 0 67 80 0 0 0 68 69 0 1 0 68 79 0 0 0 68 81 0 0 0 69 80 -1 -1 0 69 82 0 0 0 70 82 0 0 0 70 83 0 0 0 71 84 0 0 0 72 85 0 0 0 73 86 0 0 0 74 81 -1 -1 0 74 83 0 0 0 75 76 0 0 0 75 87 0 0 0 75 88 0 0 0 76 89 0 0 0 76 90 0 0 0 77 86 1 1 0 77 88 0 0 0 77 91 0 0 0 78 92 0 0 0 78 93 0 0 0 79 94 0 0 0 79 95 0 0 0 80 94 1 0 0 80 96 0 0 0 81 92 0 1 0 81 97 0 0 0 82 92 0 0 0 82 98 0 0 0 83 94 0 0 0 83 99 0 0 0 84 85 0 0 0 84 90 -1 -1 0 84 91 0 -1 0 85 87 0 0 0 85 100 0 0 0 86 89 -1 0 0 86 100 0 0 0 87 101 0 0 0 87 102 0 0 0 88 103 0 0 0 88 104 0 0 0 89 101 0 0 0 89 105 0 0 0 90 104 0 0 0 90 106 0 0 0 91 101 0 1 0 91 107 0 0 0 92 108 0 0 0 93 95 0 0 0 93 96 0 0 0 93 109 0 0 0 94 110 0 0 0 95 97 0 0 0 95 111 0 0 0 96 98 1 1 0 96 112 0 0 0 97 99 1 1 0 97 113 0 0 0 98 99 0 0 0 98 114 0 0 0 99 115 0 0 0 100 104 -1 -1 0 100 116 0 0 0 101 117 0 0 0 102 103 0 0 0 102 116 0 0 0 102 118 0 0 0 103 107 0 0 0 103 119 0 0 0 104 120 0 0 0 105 106 0 0 0 105 116 1 0 0 105 121 0 0 0 106 107 1 0 0 106 122 0 0 0 107 123 0 0 0 108 109 0 0 0 108 113 0 -1 0 108 114 0 0 0 109 124 0 0 0 109 125 0 0 0 110 111 0 0 0 110 112 -1 0 0 110 115 0 0 0 111 124 0 0 0 111 126 0 0 0 112 125 0 0 0 112 127 0 0 0 113 126 0 0 0 113 128 0 0 0 114 127 -1 -1 0 114 129 0 0 0 115 128 -1 -1 0 115 129 0 0 0 116 130 0 0 0 117 118 0 0 0 117 121 0 0 0 117 123 0 -1 0 118 131 0 0 0 118 132 0 0 0 119 120 0 0 0 119 132 0 0 0 119 133 0 0 0 120 122 0 0 0 120 130 1 1 0 121 134 0 0 0 121 135 0 0 0 122 135 0 0 0 122 136 0 0 0 123 133 0 0 0 123 136 -1 0 0 124 129 0 0 0 124 137 0 0 0 125 128 0 -1 0 125 138 0 0 0 126 127 -1 0 0 126 139 0 0 0 127 140 0 0 0 128 141 0 0 0 129 142 0 0 0 130 131 0 0 0 130 134 -1 0 0 131 136 -1 -1 0 131 143 0 0 0 132 135 0 0 0 132 144 0 0 0 133 134 0 1 0 133 145 0 0 0 134 146 0 0 0 135 147 0 0 0 136 148 0 0 0 137 138 0 0 0 137 149 0 0 0 137 150 0 0 0 138 151 0 0 0 138 152 0 0 0 139 141 0 0 0 139 150 0 0 0 139 153 0 0 0 140 142 1 1 0 140 152 0 0 0 140 153 1 0 0 141 151 0 1 0 141 154 0 0 0 142 149 0 0 0 142 154 -1 -1 0 143 148 -1 -1 0 143 155 0 0 0 143 156 0 0 0 144 147 0 0 0 144 156 0 0 0 144 157 0 0 0 145 146 0 1 0 145 157 0 0 0 145 158 0 0 0 146 155 1 0 0 146 159 0 0 0 147 159 0 0 0 147 160 0 0 0 148 158 1 0 0 148 160 0 0 0 149 161 0 0 0 149 162 0 0 0 150 163 0 0 0 150 164 0 0 0 151 161 0 0 0 151 165 0 0 0 152 164 0 0 0 152 166 0 0 0 153 161 0 1 0 153 167 0 0 0 154 164 0 0 0 154 168 0 0 0 155 169 0 0 0 155 170 0 0 0 156 171 0 0 0 156 172 0 0 0 157 169 1 1 0 157 173 0 0 0 158 171 0 1 0 158 174 0 0 0 159 171 0 0 0 159 175 0 0 0 160 169 1 1 0 160 176 0 0 0 161 177 0 0 0 162 163 0 0 0 162 168 -1 -1 0 162 178 0 0 0 163 167 0 0 0 163 179 0 0 0 164 180 0 0 0 165 166 0 0 0 165 168 0 -1 0 165 181 0 0 0 166 167 1 0 0 166 182 0 0 0 167 183 0 0 0 168 184 0 0 0 169 185 0 0 0 170 172 0 0 0 170 175 -1 0 0 170 186 0 0 0 171 187 0 0 0 172 173 0 0 0 172 188 0 0 0 173 174 0 0 0 173 189 0 0 0 174 176 -1 0 0 174 190 0 0 0 175 176 0 0 0 175 191 0 0 0 176 192 0 0 0 177 178 0 0 0 177 181 0 0 0 177 183 0 -1 0 178 193 0 0 0 178 194 0 0 0 179 180 0 0 0 179 194 0 0 0 179 195 0 0 0 180 182 0 0 0 180 184 0 0 0 181 196 0 0 0 181 197 0 0 0 182 197 0 0 0 182 198 0 0 0 183 195 0 0 0 183 198 -1 0 0 184 193 1 1 0 184 196 0 1 0 185 186 0 0 0 185 189 -1 -1 0 185 192 -1 -1 0 186 199 0 0 0 186 200 0 0 0 187 188 0 0 0 187 190 0 -1 0 187 191 0 0 0 188 200 0 0 0 188 201 0 0 0 189 201 0 0 0 189 202 0 0 0 190 202 0 0 0 190 203 0 0 0 191 199 1 0 0 191 204 0 0 0 192 203 1 0 0 192 204 0 0 0 193 198 -1 -1 0 193 200 0 0 1 194 197 0 0 0 194 201 0 0 1 195 196 0 1 0 195 202 0 0 1 196 199 1 0 1 197 204 0 0 1 198 203 1 0 1 199 202 -1 -1 0 200 203 0 -1 0 201 204 0 0 0
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
6c705d1bd01701ff3a9c601075c6f35d (rcsr)

Vertices

The mapping of coordination sequences onto vertex classes that the source supplied was checked against a walk over the periodic topology of the net itself, one walk per vertex class, and agreed. The sequences are the values the source supplied; the walk settled nothing but which class each one describes.

Corroborated: 204 of 204 stored symbols were recomputed from the topology of the net itself and agree, entry for entry. A vertex symbol of this collection names the shortest cycle at each angle of a vertex, and mofpp.rings v2 (mofplus-deposit) walks those cycles on the deposit graph. The strings shown are still the values the source supplied; what was checked is that they are the values this net has.

Site symmetry. 204 of 204 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in P63/mmc, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
1 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
2 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
3 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
4 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
5 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
6 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
7 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
8 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
9 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
10 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
11 4 m5.5.5.5.5.64 12 23 41 64 92 128 169 205 263
12 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
13 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
14 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
15 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
16 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
17 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
18 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
19 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
20 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
21 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
22 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
23 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
24 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
25 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
26 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
27 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
28 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
29 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
30 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
31 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
32 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
33 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
34 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
35 4 14.5.5.5.6.64 11 24 41 63 92 128 173 216 264
36 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
37 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
38 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
39 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
40 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
41 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
42 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
43 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
44 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
45 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
46 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
47 4 m5.5.5.5.5.64 12 25 43 66 93 129 171 215 272
48 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
49 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
50 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
51 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
52 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
53 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
54 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
55 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
56 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
57 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
58 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
59 4 m5.5.5.5.5.64 12 25 42 70 92 126 173 216 272
60 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
61 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
62 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
63 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
64 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
65 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
66 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
67 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
68 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
69 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
70 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
71 4 m5.5.5.5.5.64 12 23 41 65 91 130 170 213 260
72 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
73 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
74 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
75 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
76 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
77 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
78 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
79 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
80 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
81 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
82 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
83 4 m5.5.5.5.5.64 12 23 41 64 92 128 168 208 263
84 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
85 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
86 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
87 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
88 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
89 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 212 266
90 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
91 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
92 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
93 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
94 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
95 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
96 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
97 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
98 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
99 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
100 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
101 4 m5.5.5.5.5.64 12 23 41 64 95 130 166 213 268
102 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
103 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
104 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
105 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
106 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
107 4 mm25.5.5.5.5.64 12 25 42 68 90 122 167 214 264
108 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
109 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
110 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
111 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
112 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
113 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
114 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
115 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
116 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
117 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
118 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
119 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
120 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
121 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
122 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
123 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
124 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
125 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
126 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
127 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
128 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
129 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
130 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
131 4 15.5.5.5.5.64 12 25 43 68 94 132 176 219 267
132 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
133 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
134 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
135 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
136 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
137 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
138 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
139 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
140 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
141 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
142 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
143 4 m5.5.5.5.5.64 12 25 43 67 96 131 173 218 269
144 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
145 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
146 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
147 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
148 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
149 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
150 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
151 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
152 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
153 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
154 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
155 4 m5.5.5.5.5.54 12 24 39 66 100 128 168 211 263
156 4 3m5.5.5.5.5.54 12 24 36 61 107 136 156 207 256
157 4 3m5.5.5.5.5.54 12 24 36 61 107 136 156 207 256
158 4 3m5.5.5.5.5.54 12 24 36 61 107 136 156 207 256
159 4 3m5.5.5.5.5.54 12 24 36 61 107 136 156 207 256
160 4 3m5.5.5.5.5.54 12 24 36 61 101 133 162 204 262
161 4 3m5.5.5.5.5.54 12 24 36 61 101 133 162 204 262
162 4 3m5.5.5.5.5.54 12 24 36 61 101 133 162 204 262
163 4 3m5.5.5.5.5.54 12 24 36 61 101 133 162 204 262
164 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 207 258
165 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 207 258
166 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 207 258
167 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 207 258
168 4 3m5.5.5.5.5.54 12 24 36 64 106 129 156 216 262
169 4 3m5.5.5.5.5.54 12 24 36 64 106 129 156 216 262
170 4 3m5.5.5.5.5.54 12 24 36 64 106 129 156 216 262
171 4 3m5.5.5.5.5.54 12 24 36 64 106 129 156 216 262
172 4 3m5.5.5.5.5.54 12 24 39 66 103 130 162 213 270
173 4 3m5.5.5.5.5.54 12 24 39 66 103 130 162 213 270
174 4 3m5.5.5.5.5.54 12 24 39 66 103 130 162 213 270
175 4 3m5.5.5.5.5.54 12 24 39 66 103 130 162 213 270
176 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
177 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
178 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
179 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
180 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
181 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
182 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
183 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
184 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
185 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
186 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
187 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
188 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
189 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
190 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
191 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
192 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
193 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
194 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
195 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
196 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
197 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
198 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
199 4 14.5.5.5.6.64 11 24 41 63 91 129 171 216 261
200 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 204 262
201 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 204 262
202 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 204 262
203 4 3m5.5.5.5.5.54 12 24 36 61 101 133 156 204 262

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the MOF+ deposit, the graph of the uploaded topology file and the RCSR archive key, the canonical key the archive states, by mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2, mofpp.site_symmetry spglib-2.7.0 systre-19.6.0 v1 and systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2. Each basis is analysed on its own and the results are never merged, because a MOF+ deposit and an RCSR archive key are two different graphs that usually describe the same net and sometimes do not. The transitivity r and s are computed by nothing in this project: they count the faces and the tiles of a natural tiling, and none is derived here. That is a measured limit rather than a job not yet done. The Gavrog library this project runs Systre from was tried on 2026-09-12: for a 3-periodic net it has no route from a net to a tiling at all, and for a 2-periodic net it has one that works, whose result is a plane tiling with faces and no tiles and so a transitivity triple rather than an r and an s. This block therefore states p and q and leaves r and s unknown rather than filling them. Every entry carries the tool, its version and input_checksum, the checksum of the graph that was actually analysed, so that a result computed from the graph this record holds now can be told from one computed before it changed. Nothing here rebuilds a graph to check that, so no entry below is claimed to be current.

Periodicity — the MOF+ deposit, the graph of the uploaded topology file

Periodicity (mofplus-deposit)
3-periodic
One connected net (mofplus-deposit)
yes
Interpenetration (mofplus-deposit)
1 copy
Computed by (mofplus-deposit)
mofpp.periodicity 1 — ok

Periodicity — the RCSR archive key, the canonical key the archive states

Periodicity (rcsr-archive-key)
3-periodic
One connected net (rcsr-archive-key)
yes
Interpenetration (rcsr-archive-key)
1 copy
Computed by (rcsr-archive-key)
mofpp.periodicity 1 — ok

Symmetry — the MOF+ deposit, the graph of the uploaded topology file

Systre found one connected net in the repeat unit, so the group, the kinds of node and edge, and the key below describe that net.

Ideal space group (mofplus-deposit)
P63/mmc (No. 194)
Transitivity p, q (mofplus-deposit)
19, 29 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
24
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
cnd
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 14 0 0 0 5 15 0 0 0 5 16 0 0 0 6 11 0 0 0 6 17 0 0 0 6 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 14 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 26 0 0 0 10 27 0 0 0 10 28 0 0 0 11 29 0 0 0 11 30 0 0 0 12 22 1 0 0 12 24 0 0 0 12 31 0 0 0 13 15 0 0 0 13 32 0 0 0 13 33 0 0 0 14 31 -1 0 0 14 34 0 0 0 15 35 0 0 0 15 36 0 0 0 16 17 0 1 0 16 28 0 0 0 16 29 0 1 0 17 31 -1 -1 0 17 37 0 0 0 18 21 0 0 0 18 33 -1 -1 0 18 38 0 0 0 19 23 0 0 0 19 37 0 0 0 19 39 0 0 0 20 26 0 0 0 20 40 0 0 0 20 41 0 0 0 21 36 -1 -1 0 21 42 0 0 0 22 29 -1 0 0 22 41 0 0 0 23 43 0 0 0 23 44 0 0 0 24 41 1 0 0 24 45 0 0 0 25 27 0 0 0 25 46 0 0 0 25 47 0 0 0 26 45 -1 0 0 26 48 0 0 0 27 49 0 0 0 27 50 0 0 0 28 37 0 1 0 28 43 0 1 0 29 36 0 -1 0 30 32 0 0 0 30 38 0 0 0 30 51 0 0 0 31 33 0 0 0 32 52 0 0 0 32 53 0 0 0 33 54 0 0 0 34 35 0 0 0 34 42 0 0 0 34 54 -1 0 0 35 52 0 0 0 35 55 0 0 0 36 51 0 1 0 37 45 -1 -1 0 38 56 0 0 0 38 57 0 0 0 39 40 0 0 0 39 47 -1 -1 0 39 58 0 0 0 40 50 -1 -1 0 40 59 0 0 0 41 43 -1 0 0 42 57 0 0 0 42 60 0 0 0 43 50 0 -1 0 44 46 0 0 0 44 58 0 0 0 44 61 0 0 0 45 47 0 0 0 46 62 0 0 0 46 63 0 0 0 47 64 0 0 0 48 49 0 0 0 48 59 0 0 0 48 64 -1 0 0 49 62 0 0 0 49 65 0 0 0 50 61 0 1 0 51 55 0 -1 0 51 60 1 0 0 52 57 0 0 0 52 66 0 0 0 53 54 0 0 0 53 60 1 0 0 53 67 0 0 0 54 56 1 1 0 55 56 0 1 0 55 68 0 0 0 56 69 0 0 0 57 70 0 0 0 58 71 0 0 0 58 72 0 0 0 59 72 0 0 0 59 73 0 0 0 60 74 0 0 0 61 65 0 -1 0 61 73 1 0 0 62 72 0 0 0 62 75 0 0 0 63 64 0 0 0 63 73 1 0 0 63 76 0 0 0 64 71 1 1 0 65 71 0 1 0 65 77 0 0 0 66 70 0 0 0 66 78 0 0 0 66 79 0 0 0 67 74 1 0 0 67 78 0 0 0 67 80 0 0 0 68 69 0 1 0 68 79 0 0 0 68 81 0 0 0 69 80 -1 -1 0 69 82 0 0 0 70 82 0 0 0 70 83 0 0 0 71 84 0 0 0 72 85 0 0 0 73 86 0 0 0 74 81 -1 -1 0 74 83 0 0 0 75 76 0 0 0 75 87 0 0 0 75 88 0 0 0 76 89 0 0 0 76 90 0 0 0 77 86 1 1 0 77 88 0 0 0 77 91 0 0 0 78 92 0 0 0 78 93 0 0 0 79 94 0 0 0 79 95 0 0 0 80 94 1 0 0 80 96 0 0 0 81 92 0 1 0 81 97 0 0 0 82 92 0 0 0 82 98 0 0 0 83 94 0 0 0 83 99 0 0 0 84 85 0 0 0 84 90 -1 -1 0 84 91 0 -1 0 85 87 0 0 0 85 100 0 0 0 86 89 -1 0 0 86 100 0 0 0 87 101 0 0 0 87 102 0 0 0 88 103 0 0 0 88 104 0 0 0 89 101 0 0 0 89 105 0 0 0 90 104 0 0 0 90 106 0 0 0 91 101 0 1 0 91 107 0 0 0 92 108 0 0 0 93 95 0 0 0 93 96 0 0 0 93 109 0 0 0 94 110 0 0 0 95 97 0 0 0 95 111 0 0 0 96 98 1 1 0 96 112 0 0 0 97 99 1 1 0 97 113 0 0 0 98 99 0 0 0 98 114 0 0 0 99 115 0 0 0 100 104 -1 -1 0 100 116 0 0 0 101 117 0 0 0 102 103 0 0 0 102 116 0 0 0 102 118 0 0 0 103 107 0 0 0 103 119 0 0 0 104 120 0 0 0 105 106 0 0 0 105 116 1 0 0 105 121 0 0 0 106 107 1 0 0 106 122 0 0 0 107 123 0 0 0 108 109 0 0 0 108 113 0 -1 0 108 114 0 0 0 109 124 0 0 0 109 125 0 0 0 110 111 0 0 0 110 112 -1 0 0 110 115 0 0 0 111 124 0 0 0 111 126 0 0 0 112 125 0 0 0 112 127 0 0 0 113 126 0 0 0 113 128 0 0 0 114 127 -1 -1 0 114 129 0 0 0 115 128 -1 -1 0 115 129 0 0 0 116 130 0 0 0 117 118 0 0 0 117 121 0 0 0 117 123 0 -1 0 118 131 0 0 0 118 132 0 0 0 119 120 0 0 0 119 132 0 0 0 119 133 0 0 0 120 122 0 0 0 120 130 1 1 0 121 134 0 0 0 121 135 0 0 0 122 135 0 0 0 122 136 0 0 0 123 133 0 0 0 123 136 -1 0 0 124 129 0 0 0 124 137 0 0 0 125 128 0 -1 0 125 138 0 0 0 126 127 -1 0 0 126 139 0 0 0 127 140 0 0 0 128 141 0 0 0 129 142 0 0 0 130 131 0 0 0 130 134 -1 0 0 131 136 -1 -1 0 131 143 0 0 0 132 135 0 0 0 132 144 0 0 0 133 134 0 1 0 133 145 0 0 0 134 146 0 0 0 135 147 0 0 0 136 148 0 0 0 137 138 0 0 0 137 149 0 0 0 137 150 0 0 0 138 151 0 0 0 138 152 0 0 0 139 141 0 0 0 139 150 0 0 0 139 153 0 0 0 140 142 1 1 0 140 152 0 0 0 140 153 1 0 0 141 151 0 1 0 141 154 0 0 0 142 149 0 0 0 142 154 -1 -1 0 143 148 -1 -1 0 143 155 0 0 0 143 156 0 0 0 144 147 0 0 0 144 156 0 0 0 144 157 0 0 0 145 146 0 1 0 145 157 0 0 0 145 158 0 0 0 146 155 1 0 0 146 159 0 0 0 147 159 0 0 0 147 160 0 0 0 148 158 1 0 0 148 160 0 0 0 149 161 0 0 0 149 162 0 0 0 150 163 0 0 0 150 164 0 0 0 151 161 0 0 0 151 165 0 0 0 152 164 0 0 0 152 166 0 0 0 153 161 0 1 0 153 167 0 0 0 154 164 0 0 0 154 168 0 0 0 155 169 0 0 0 155 170 0 0 0 156 171 0 0 0 156 172 0 0 0 157 169 1 1 0 157 173 0 0 0 158 171 0 1 0 158 174 0 0 0 159 171 0 0 0 159 175 0 0 0 160 169 1 1 0 160 176 0 0 0 161 177 0 0 0 162 163 0 0 0 162 168 -1 -1 0 162 178 0 0 0 163 167 0 0 0 163 179 0 0 0 164 180 0 0 0 165 166 0 0 0 165 168 0 -1 0 165 181 0 0 0 166 167 1 0 0 166 182 0 0 0 167 183 0 0 0 168 184 0 0 0 169 185 0 0 0 170 172 0 0 0 170 175 -1 0 0 170 186 0 0 0 171 187 0 0 0 172 173 0 0 0 172 188 0 0 0 173 174 0 0 0 173 189 0 0 0 174 176 -1 0 0 174 190 0 0 0 175 176 0 0 0 175 191 0 0 0 176 192 0 0 0 177 178 0 0 0 177 181 0 0 0 177 183 0 -1 0 178 193 0 0 0 178 194 0 0 0 179 180 0 0 0 179 194 0 0 0 179 195 0 0 0 180 182 0 0 0 180 184 0 0 0 181 196 0 0 0 181 197 0 0 0 182 197 0 0 0 182 198 0 0 0 183 195 0 0 0 183 198 -1 0 0 184 193 1 1 0 184 196 0 1 0 185 186 0 0 0 185 189 -1 -1 0 185 192 -1 -1 0 186 199 0 0 0 186 200 0 0 0 187 188 0 0 0 187 190 0 -1 0 187 191 0 0 0 188 200 0 0 0 188 201 0 0 0 189 201 0 0 0 189 202 0 0 0 190 202 0 0 0 190 203 0 0 0 191 199 1 0 0 191 204 0 0 0 192 203 1 0 0 192 204 0 0 0 193 198 -1 -1 0 193 200 0 0 1 194 197 0 0 0 194 201 0 0 1 195 196 0 1 0 195 202 0 0 1 196 199 1 0 1 197 204 0 0 1 198 203 1 0 1 199 202 -1 -1 0 200 203 0 -1 0 201 204 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1018
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

Invariants — the MOF+ deposit, the graph of the uploaded topology file

TD10, exact (mofplus-deposit)
1018.1176470588235
Genus (mofplus-deposit)
205
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

Invariants — the RCSR archive key, the canonical key the archive states

TD10, exact (rcsr-archive-key)
1018.1176470588235
Genus (rcsr-archive-key)
205
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(4.5^3.6^2)4(5^5.6)10(5^6)3
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 115.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 92 128 169 205 263
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 354.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 24 41 63 92 128 173 216 264
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 475.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 66 93 129 171 215 272
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 595.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 70 92 126 173 216 272
60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 715.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 65 91 130 170 213 260
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 835.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 92 128 168 208 263
84, 85, 86, 87, 88, 895.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 90 122 167 212 266
90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1015.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 95 130 166 213 268
102, 103, 104, 105, 106, 1075.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 90 122 167 214 264
108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 1315.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 94 132 176 219 267
132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1435.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 67 96 131 173 218 269
144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 1555.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 100 128 168 211 263
156, 157, 158, 1595.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 107 136 156 207 256
160, 161, 162, 1635.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 162 204 262
164, 165, 166, 1675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 156 207 258
168, 169, 170, 1715.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 64 106 129 156 216 262
172, 173, 174, 1755.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 103 130 162 213 270
176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 1994.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 24 41 63 91 129 171 216 261
200, 201, 202, 2035.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 156 204 262

Rings — the RCSR archive key, the canonical key the archive states

Net point symbol (rcsr-archive-key)
(4.5^3.6^2)4(5^5.6)10(5^6)3
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 11, 15, 16, 21, 51, 52, 54, 55, 56, 59, 142, 143, 144, 145, 146, 147, 198, 199, 200, 201, 202, 2034.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 24 41 63 91 129 171 216 261
2, 6, 23, 27, 36, 40, 65, 66, 67, 68, 69, 73, 130, 131, 132, 133, 134, 135, 192, 193, 194, 195, 196, 1974.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 24 41 63 92 128 173 216 264
3, 5, 28, 31, 37, 50, 155, 157, 158, 187, 189, 1905.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 92 128 168 208 263
4, 7, 30, 34, 41, 53, 154, 156, 159, 185, 188, 1915.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 92 128 169 205 263
8, 18, 42, 77, 80, 81, 117, 120, 122, 177, 180, 1825.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 65 91 130 170 213 260
9, 19, 44, 78, 79, 82, 118, 121, 129, 178, 181, 1835.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 23 41 64 95 130 166 213 268
10, 29, 170, 1865.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 156 204 262
12, 17, 35, 171, 173, 1745.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 90 122 167 212 266
13, 33, 168, 1845.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 156 207 258
14, 20, 32, 169, 172, 1755.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 90 122 167 214 264
22, 91, 116, 1765.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 162 204 262
24, 38, 49, 92, 96, 97, 101, 104, 106, 161, 164, 1665.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 66 93 129 171 215 272
25, 93, 119, 1795.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 64 106 129 156 216 262
26, 39, 46, 94, 95, 98, 102, 105, 115, 162, 165, 1675.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 70 92 126 173 216 272
43, 100, 107, 1605.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 107 136 156 207 256
45, 57, 60, 86, 88, 90, 108, 112, 113, 148, 150, 1525.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 100 128 168 211 263
47, 103, 109, 1635.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 103 130 162 213 270
48, 58, 63, 87, 89, 99, 110, 111, 114, 149, 151, 1535.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 67 96 131 173 218 269
61, 62, 64, 70, 71, 72, 74, 75, 76, 83, 84, 85, 123, 124, 125, 126, 127, 128, 136, 137, 138, 139, 140, 1415.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 94 132 176 219 267

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 204 of 204 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 204 of 204 vertex rows agree with mofpp.invariants v2 (mofplus-deposit), compared on the stored length.
Catenation against the name heuristic
No; agrees with the computed value

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
cnd
Retrieved
2026-09-09
Licence
CC BY 4.0 — verified from MOF++ project decision, CONTEXT §6 (Licensing): MOF+ is this group's own service, so nets retrieved from it are the project's own data to license, and the project licenses its data CC BY 4.0. No third-party grant is claimed..
Published
yes

Position in the collection

RCSR index
342 (derived) Derived by this site, not published by RCSR: the 1-based position of the symbol in the ascending ASCII-lexicographic ordering of the 2930 symbols in the RCSR Systre archive of 2019-06-01. RCSR does not number its nets; this is our ordering of their symbols and nothing more.
Complexity rank
2344 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.