MOF++

Data › Nets › kgt

Net topology

kgt

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

JSON · mfpx

448 vertices and 672 edges in the unit cell. 120 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
I432 (No. 211)
Cell lengths
a = 11.9509 Å, b = 11.9509 Å, c = 11.9509 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
448
Transitivity pqrs
10, 16, *, *
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 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 15 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 19 0 0 0 14 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 27 0 0 0 17 32 0 0 0 18 22 0 0 0 18 33 0 0 0 19 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 26 0 0 0 25 44 0 0 0 26 45 0 0 0 27 46 0 0 0 28 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 32 0 0 0 31 53 0 0 0 32 54 0 0 0 33 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 37 0 0 0 35 59 0 0 0 36 60 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 42 0 0 0 41 69 0 0 0 42 70 0 0 0 43 71 0 0 0 43 72 0 0 0 44 73 0 0 0 44 74 0 0 0 45 54 0 0 0 45 75 0 0 0 46 48 0 0 0 46 55 0 0 0 47 76 0 0 0 47 77 0 0 0 48 78 0 0 0 49 51 0 0 0 49 79 0 0 0 50 68 0 0 0 50 80 0 0 0 51 81 0 0 0 52 82 0 0 0 52 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 86 0 0 0 55 87 0 0 0 56 88 0 0 0 56 89 0 0 0 57 60 0 0 0 57 90 0 0 0 58 76 0 0 0 58 91 0 0 0 59 92 0 0 0 59 93 0 0 0 60 94 0 0 0 61 95 0 0 0 61 96 0 0 0 62 97 0 0 0 62 98 0 0 0 63 69 1 0 0 63 99 0 0 0 64 65 0 0 0 64 100 0 0 0 65 101 0 0 0 66 88 0 0 0 66 102 0 0 0 67 103 0 0 0 67 104 0 0 0 68 105 0 0 0 69 106 0 0 0 70 107 0 0 0 70 108 0 0 0 71 109 0 0 0 71 110 0 0 0 72 73 0 0 0 72 111 0 0 0 73 112 0 0 0 74 113 0 0 0 74 114 0 0 0 75 113 0 0 0 75 115 0 0 0 76 116 0 0 0 77 117 0 0 0 77 118 0 0 0 78 119 0 0 0 78 120 0 0 0 79 121 0 0 0 79 122 0 0 0 80 123 0 0 0 80 124 0 0 0 81 125 0 0 0 81 126 0 0 0 82 127 0 0 0 82 128 0 0 0 83 84 0 0 0 83 129 0 0 0 84 130 0 0 0 85 131 0 0 0 85 132 0 0 0 86 132 0 0 0 86 133 0 0 0 87 134 0 0 0 87 135 0 0 0 88 136 0 0 0 89 125 0 1 0 89 137 0 0 0 90 114 0 0 1 90 138 0 0 0 91 139 0 0 0 91 140 0 0 0 92 141 0 0 0 92 142 0 0 0 93 95 0 0 0 93 100 0 0 0 94 143 0 0 0 94 144 0 0 0 95 145 0 0 0 96 146 0 0 0 96 147 0 0 0 97 141 0 0 0 97 148 0 0 0 98 99 0 0 0 98 149 0 0 0 99 107 1 0 0 100 150 0 0 0 101 145 0 0 0 101 151 0 0 0 102 152 0 0 0 102 153 0 0 0 103 154 0 0 0 103 155 0 0 0 104 106 0 0 0 104 156 0 0 0 105 108 0 0 0 105 157 0 0 0 106 150 -1 0 0 107 158 0 0 0 108 109 0 0 0 109 123 0 0 0 110 159 0 0 0 110 160 0 0 0 111 161 0 0 0 111 162 0 0 0 112 163 0 0 0 112 164 0 0 0 113 165 0 0 0 114 166 0 0 0 115 167 0 0 0 115 168 0 0 0 116 144 0 0 0 116 169 0 0 0 117 146 0 0 0 117 170 0 0 0 118 119 0 0 0 118 171 0 0 0 119 172 0 0 0 120 135 0 0 0 120 173 0 0 0 121 174 0 0 0 121 175 0 0 0 122 124 0 0 0 122 129 0 0 0 123 176 0 0 0 124 177 0 0 0 125 174 0 0 0 126 127 0 0 0 126 178 0 0 0 127 179 0 0 0 128 169 1 -1 -1 128 180 0 0 0 129 181 0 0 0 130 177 0 0 0 130 182 0 0 0 131 183 0 0 0 131 184 0 0 0 132 185 0 0 0 133 168 0 0 0 133 186 0 0 0 134 137 0 0 0 134 187 0 0 0 135 188 0 0 0 136 189 0 0 0 136 190 0 0 0 137 191 0 0 0 138 139 0 0 0 138 192 0 0 0 139 193 0 0 0 140 175 -1 1 1 140 181 -1 1 1 141 194 0 0 0 142 186 0 0 1 142 195 0 0 0 143 166 0 0 1 143 180 -1 1 1 144 146 0 0 0 145 196 0 0 0 147 176 0 1 1 147 197 0 0 0 148 184 0 0 1 148 198 0 0 0 149 179 0 0 0 149 199 0 0 0 150 195 0 0 0 151 152 0 0 0 151 200 0 0 0 152 191 0 0 0 153 162 1 0 0 153 163 1 0 0 154 157 0 0 0 154 188 0 -1 0 155 201 0 0 0 155 202 0 0 0 156 193 0 0 0 156 203 0 0 0 157 204 0 0 0 158 204 0 0 0 158 205 0 0 0 159 206 0 0 0 159 207 0 0 0 160 161 0 0 0 160 167 0 0 0 161 165 0 0 0 162 189 -1 0 0 163 208 0 0 0 164 166 0 0 0 164 209 0 0 0 165 192 0 0 -1 167 210 0 0 0 168 194 0 0 -1 169 181 -1 1 1 170 206 0 1 1 170 211 0 0 0 171 201 0 1 0 171 212 0 0 0 172 185 -1 1 1 172 213 0 0 0 173 204 0 1 0 173 214 0 0 0 174 190 0 -1 0 175 203 1 -1 -1 176 206 0 0 0 177 197 0 -1 -1 178 191 0 -1 0 178 208 1 -1 0 179 198 0 0 0 180 199 0 0 0 182 183 0 0 0 182 210 0 0 0 183 194 0 0 -1 184 213 1 -1 -1 185 215 0 0 0 186 216 0 0 0 187 200 0 0 0 187 211 0 0 0 188 212 0 0 0 189 217 0 0 0 190 218 0 0 0 192 217 -1 0 1 193 202 0 0 0 195 219 0 0 0 196 197 0 0 0 196 220 0 0 0 198 221 0 0 0 199 205 1 0 0 200 207 0 1 1 201 215 -1 0 1 202 222 0 0 0 203 219 -1 0 0 205 209 0 -1 0 207 220 0 -1 -1 208 221 -1 1 0 209 223 0 0 0 210 220 0 -1 -1 211 212 0 0 0 213 214 0 0 0 214 223 0 0 0 215 216 0 0 0 216 224 0 0 0 217 222 1 0 -1 218 219 0 0 -1 218 224 0 0 0 221 223 1 -1 0 222 224 -1 0 1
(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
2c89c17c3fa8e50b8218647706717443 (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: 448 of 448 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. 448 of 448 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 I432, 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 3 17.7.73 6 12 18 29 39 54 75 100 120
1 3 17.7.73 6 12 18 29 39 54 75 100 120
2 3 17.7.73 6 12 18 29 39 54 75 100 120
3 3 17.7.73 6 12 18 29 39 54 75 100 120
4 3 17.7.73 6 12 18 29 39 54 75 100 120
5 3 17.7.73 6 12 18 29 39 54 75 100 120
6 3 17.7.73 6 12 18 29 39 54 75 100 120
7 3 17.7.73 6 12 18 29 39 54 75 100 120
8 3 17.7.73 6 12 18 29 39 54 75 100 120
9 3 17.7.73 6 12 18 29 39 54 75 100 120
10 3 17.7.73 6 12 18 29 39 54 75 100 120
11 3 17.7.73 6 12 18 29 39 54 75 100 120
12 3 17.7.73 6 12 18 29 39 54 75 100 120
13 3 17.7.73 6 12 18 29 39 54 75 100 120
14 3 17.7.73 6 12 18 29 39 54 75 100 120
15 3 17.7.73 6 12 18 29 39 54 75 100 120
16 3 17.7.73 6 12 18 29 39 54 75 100 120
17 3 17.7.73 6 12 18 29 39 54 75 100 120
18 3 17.7.73 6 12 18 29 39 54 75 100 120
19 3 17.7.73 6 12 18 29 39 54 75 100 120
20 3 17.7.73 6 12 18 29 39 54 75 100 120
21 3 17.7.73 6 12 18 29 39 54 75 100 120
22 3 17.7.73 6 12 18 29 39 54 75 100 120
23 3 17.7.73 6 12 18 29 39 54 75 100 120
24 3 17.7.73 6 12 18 29 39 54 75 100 120
25 3 17.7.73 6 12 18 29 39 54 75 100 120
26 3 17.7.73 6 12 18 29 39 54 75 100 120
27 3 17.7.73 6 12 18 29 39 54 75 100 120
28 3 17.7.73 6 12 18 29 39 54 75 100 120
29 3 17.7.73 6 12 18 29 39 54 75 100 120
30 3 17.7.73 6 12 18 29 39 54 75 100 120
31 3 17.7.73 6 12 18 29 39 54 75 100 120
32 3 17.7.73 6 12 18 29 39 54 75 100 120
33 3 17.7.73 6 12 18 29 39 54 75 100 120
34 3 17.7.73 6 12 18 29 39 54 75 100 120
35 3 17.7.73 6 12 18 29 39 54 75 100 120
36 3 17.7.73 6 12 18 29 39 54 75 100 120
37 3 17.7.73 6 12 18 29 39 54 75 100 120
38 3 17.7.73 6 12 18 29 39 54 75 100 120
39 3 17.7.73 6 12 18 29 39 54 75 100 120
40 3 17.7.73 6 12 18 29 39 54 75 100 120
41 3 17.7.73 6 12 18 29 39 54 75 100 120
42 3 17.7.73 6 12 18 29 39 54 75 100 120
43 3 17.7.73 6 12 18 29 39 54 75 100 120
44 3 17.7.73 6 12 18 29 39 54 75 100 120
45 3 17.7.73 6 12 18 29 39 54 75 100 120
46 3 17.7.73 6 12 18 29 39 54 75 100 120
47 3 17.7.73 6 12 18 29 39 54 75 100 120
48 3 17.7.73 6 12 17 27 37 57 70 89 117
49 3 17.7.73 6 12 17 27 37 57 70 89 117
50 3 17.7.73 6 12 17 27 37 57 70 89 117
51 3 17.7.73 6 12 17 27 37 57 70 89 117
52 3 17.7.73 6 12 17 27 37 57 70 89 117
53 3 17.7.73 6 12 17 27 37 57 70 89 117
54 3 17.7.73 6 12 17 27 37 57 70 89 117
55 3 17.7.73 6 12 17 27 37 57 70 89 117
56 3 17.7.73 6 12 17 27 37 57 70 89 117
57 3 17.7.73 6 12 17 27 37 57 70 89 117
58 3 17.7.73 6 12 17 27 37 57 70 89 117
59 3 17.7.73 6 12 17 27 37 57 70 89 117
60 3 17.7.73 6 12 17 27 37 57 70 89 117
61 3 17.7.73 6 12 17 27 37 57 70 89 117
62 3 17.7.73 6 12 17 27 37 57 70 89 117
63 3 17.7.73 6 12 17 27 37 57 70 89 117
64 3 17.7.73 6 12 17 27 37 57 70 89 117
65 3 17.7.73 6 12 17 27 37 57 70 89 117
66 3 17.7.73 6 12 17 27 37 57 70 89 117
67 3 17.7.73 6 12 17 27 37 57 70 89 117
68 3 17.7.73 6 12 17 27 37 57 70 89 117
69 3 17.7.73 6 12 17 27 37 57 70 89 117
70 3 17.7.73 6 12 17 27 37 57 70 89 117
71 3 17.7.73 6 12 17 27 37 57 70 89 117
72 3 17.7.73 6 12 17 27 37 57 70 89 117
73 3 17.7.73 6 12 17 27 37 57 70 89 117
74 3 17.7.73 6 12 17 27 37 57 70 89 117
75 3 17.7.73 6 12 17 27 37 57 70 89 117
76 3 17.7.73 6 12 17 27 37 57 70 89 117
77 3 17.7.73 6 12 17 27 37 57 70 89 117
78 3 17.7.73 6 12 17 27 37 57 70 89 117
79 3 17.7.73 6 12 17 27 37 57 70 89 117
80 3 17.7.73 6 12 17 27 37 57 70 89 117
81 3 17.7.73 6 12 17 27 37 57 70 89 117
82 3 17.7.73 6 12 17 27 37 57 70 89 117
83 3 17.7.73 6 12 17 27 37 57 70 89 117
84 3 17.7.73 6 12 17 27 37 57 70 89 117
85 3 17.7.73 6 12 17 27 37 57 70 89 117
86 3 17.7.73 6 12 17 27 37 57 70 89 117
87 3 17.7.73 6 12 17 27 37 57 70 89 117
88 3 17.7.73 6 12 17 27 37 57 70 89 117
89 3 17.7.73 6 12 17 27 37 57 70 89 117
90 3 17.7.73 6 12 17 27 37 57 70 89 117
91 3 17.7.73 6 12 17 27 37 57 70 89 117
92 3 17.7.73 6 12 17 27 37 57 70 89 117
93 3 17.7.73 6 12 17 27 37 57 70 89 117
94 3 17.7.73 6 12 17 27 37 57 70 89 117
95 3 17.7.73 6 12 17 27 37 57 70 89 117
96 3 37.7.73 6 12 18 30 36 51 78 106 123
97 3 37.7.73 6 12 18 30 36 51 78 106 123
98 3 37.7.73 6 12 18 30 36 51 78 106 123
99 3 37.7.73 6 12 18 30 36 51 78 106 123
100 3 37.7.73 6 12 18 30 36 51 78 106 123
101 3 37.7.73 6 12 18 30 36 51 78 106 123
102 3 37.7.73 6 12 18 30 36 51 78 106 123
103 3 37.7.73 6 12 18 30 36 51 78 106 123
104 3 37.7.73 6 12 18 30 36 51 78 106 123
105 3 37.7.73 6 12 18 30 36 51 78 106 123
106 3 37.7.73 6 12 18 30 36 51 78 106 123
107 3 37.7.73 6 12 18 30 36 51 78 106 123
108 3 37.7.73 6 12 18 30 36 51 78 106 123
109 3 37.7.73 6 12 18 30 36 51 78 106 123
110 3 37.7.73 6 12 18 30 36 51 78 106 123
111 3 37.7.73 6 12 18 30 36 51 78 106 123
112 3 17.7.73 6 12 18 30 36 51 78 99 124
113 3 17.7.73 6 12 18 30 36 51 78 99 124
114 3 17.7.73 6 12 18 30 36 51 78 99 124
115 3 17.7.73 6 12 18 30 36 51 78 99 124
116 3 17.7.73 6 12 18 30 36 51 78 99 124
117 3 17.7.73 6 12 18 30 36 51 78 99 124
118 3 17.7.73 6 12 18 30 36 51 78 99 124
119 3 17.7.73 6 12 18 30 36 51 78 99 124
120 3 17.7.73 6 12 18 30 36 51 78 99 124
121 3 17.7.73 6 12 18 30 36 51 78 99 124
122 3 17.7.73 6 12 18 30 36 51 78 99 124
123 3 17.7.73 6 12 18 30 36 51 78 99 124
124 3 17.7.73 6 12 18 30 36 51 78 99 124
125 3 17.7.73 6 12 18 30 36 51 78 99 124
126 3 17.7.73 6 12 18 30 36 51 78 99 124
127 3 17.7.73 6 12 18 30 36 51 78 99 124
128 3 17.7.73 6 12 18 30 36 51 78 99 124
129 3 17.7.73 6 12 18 30 36 51 78 99 124
130 3 17.7.73 6 12 18 30 36 51 78 99 124
131 3 17.7.73 6 12 18 30 36 51 78 99 124
132 3 17.7.73 6 12 18 30 36 51 78 99 124
133 3 17.7.73 6 12 18 30 36 51 78 99 124
134 3 17.7.73 6 12 18 30 36 51 78 99 124
135 3 17.7.73 6 12 18 30 36 51 78 99 124
136 3 17.7.73 6 12 18 30 36 51 78 99 124
137 3 17.7.73 6 12 18 30 36 51 78 99 124
138 3 17.7.73 6 12 18 30 36 51 78 99 124
139 3 17.7.73 6 12 18 30 36 51 78 99 124
140 3 17.7.73 6 12 18 30 36 51 78 99 124
141 3 17.7.73 6 12 18 30 36 51 78 99 124
142 3 17.7.73 6 12 18 30 36 51 78 99 124
143 3 17.7.73 6 12 18 30 36 51 78 99 124
144 3 17.7.73 6 12 18 30 36 51 78 99 124
145 3 17.7.73 6 12 18 30 36 51 78 99 124
146 3 17.7.73 6 12 18 30 36 51 78 99 124
147 3 17.7.73 6 12 18 30 36 51 78 99 124
148 3 17.7.73 6 12 18 30 36 51 78 99 124
149 3 17.7.73 6 12 18 30 36 51 78 99 124
150 3 17.7.73 6 12 18 30 36 51 78 99 124
151 3 17.7.73 6 12 18 30 36 51 78 99 124
152 3 17.7.73 6 12 18 30 36 51 78 99 124
153 3 17.7.73 6 12 18 30 36 51 78 99 124
154 3 17.7.73 6 12 18 30 36 51 78 99 124
155 3 17.7.73 6 12 18 30 36 51 78 99 124
156 3 17.7.73 6 12 18 30 36 51 78 99 124
157 3 17.7.73 6 12 18 30 36 51 78 99 124
158 3 17.7.73 6 12 18 30 36 51 78 99 124
159 3 17.7.73 6 12 18 30 36 51 78 99 124
160 3 17.7.73 6 12 18 29 39 54 75 99 117
161 3 17.7.73 6 12 18 29 39 54 75 99 117
162 3 17.7.73 6 12 18 29 39 54 75 99 117
163 3 17.7.73 6 12 18 29 39 54 75 99 117
164 3 17.7.73 6 12 18 29 39 54 75 99 117
165 3 17.7.73 6 12 18 29 39 54 75 99 117
166 3 17.7.73 6 12 18 29 39 54 75 99 117
167 3 17.7.73 6 12 18 29 39 54 75 99 117
168 3 17.7.73 6 12 18 29 39 54 75 99 117
169 3 17.7.73 6 12 18 29 39 54 75 99 117
170 3 17.7.73 6 12 18 29 39 54 75 99 117
171 3 17.7.73 6 12 18 29 39 54 75 99 117
172 3 17.7.73 6 12 18 29 39 54 75 99 117
173 3 17.7.73 6 12 18 29 39 54 75 99 117
174 3 17.7.73 6 12 18 29 39 54 75 99 117
175 3 17.7.73 6 12 18 29 39 54 75 99 117
176 3 17.7.73 6 12 18 29 39 54 75 99 117
177 3 17.7.73 6 12 18 29 39 54 75 99 117
178 3 17.7.73 6 12 18 29 39 54 75 99 117
179 3 17.7.73 6 12 18 29 39 54 75 99 117
180 3 17.7.73 6 12 18 29 39 54 75 99 117
181 3 17.7.73 6 12 18 29 39 54 75 99 117
182 3 17.7.73 6 12 18 29 39 54 75 99 117
183 3 17.7.73 6 12 18 29 39 54 75 99 117
184 3 17.7.73 6 12 18 29 39 54 75 99 117
185 3 17.7.73 6 12 18 29 39 54 75 99 117
186 3 17.7.73 6 12 18 29 39 54 75 99 117
187 3 17.7.73 6 12 18 29 39 54 75 99 117
188 3 17.7.73 6 12 18 29 39 54 75 99 117
189 3 17.7.73 6 12 18 29 39 54 75 99 117
190 3 17.7.73 6 12 18 29 39 54 75 99 117
191 3 17.7.73 6 12 18 29 39 54 75 99 117
192 3 17.7.73 6 12 18 29 39 54 75 99 117
193 3 17.7.73 6 12 18 29 39 54 75 99 117
194 3 17.7.73 6 12 18 29 39 54 75 99 117
195 3 17.7.73 6 12 18 29 39 54 75 99 117
196 3 17.7.73 6 12 18 29 39 54 75 99 117
197 3 17.7.73 6 12 18 29 39 54 75 99 117
198 3 17.7.73 6 12 18 29 39 54 75 99 117
199 3 17.7.73 6 12 18 29 39 54 75 99 117
200 3 17.7.73 6 12 18 29 39 54 75 99 117
201 3 17.7.73 6 12 18 29 39 54 75 99 117
202 3 17.7.73 6 12 18 29 39 54 75 99 117
203 3 17.7.73 6 12 18 29 39 54 75 99 117
204 3 17.7.73 6 12 18 29 39 54 75 99 117
205 3 17.7.73 6 12 18 29 39 54 75 99 117
206 3 17.7.73 6 12 18 29 39 54 75 99 117
207 3 17.7.73 6 12 18 29 39 54 75 99 117
208 3 17.7.73 6 12 18 29 39 54 75 98 118
209 3 17.7.73 6 12 18 29 39 54 75 98 118
210 3 17.7.73 6 12 18 29 39 54 75 98 118
211 3 17.7.73 6 12 18 29 39 54 75 98 118
212 3 17.7.73 6 12 18 29 39 54 75 98 118
213 3 17.7.73 6 12 18 29 39 54 75 98 118
214 3 17.7.73 6 12 18 29 39 54 75 98 118
215 3 17.7.73 6 12 18 29 39 54 75 98 118
216 3 17.7.73 6 12 18 29 39 54 75 98 118
217 3 17.7.73 6 12 18 29 39 54 75 98 118
218 3 17.7.73 6 12 18 29 39 54 75 98 118
219 3 17.7.73 6 12 18 29 39 54 75 98 118
220 3 17.7.73 6 12 18 29 39 54 75 98 118
221 3 17.7.73 6 12 18 29 39 54 75 98 118
222 3 17.7.73 6 12 18 29 39 54 75 98 118
223 3 17.7.73 6 12 18 29 39 54 75 98 118
224 3 17.7.73 6 12 18 29 39 54 75 98 118
225 3 17.7.73 6 12 18 29 39 54 75 98 118
226 3 17.7.73 6 12 18 29 39 54 75 98 118
227 3 17.7.73 6 12 18 29 39 54 75 98 118
228 3 17.7.73 6 12 18 29 39 54 75 98 118
229 3 17.7.73 6 12 18 29 39 54 75 98 118
230 3 17.7.73 6 12 18 29 39 54 75 98 118
231 3 17.7.73 6 12 18 29 39 54 75 98 118
232 3 17.7.73 6 12 18 29 39 54 75 98 118
233 3 17.7.73 6 12 18 29 39 54 75 98 118
234 3 17.7.73 6 12 18 29 39 54 75 98 118
235 3 17.7.73 6 12 18 29 39 54 75 98 118
236 3 17.7.73 6 12 18 29 39 54 75 98 118
237 3 17.7.73 6 12 18 29 39 54 75 98 118
238 3 17.7.73 6 12 18 29 39 54 75 98 118
239 3 17.7.73 6 12 18 29 39 54 75 98 118
240 3 17.7.73 6 12 18 29 39 54 75 98 118
241 3 17.7.73 6 12 18 29 39 54 75 98 118
242 3 17.7.73 6 12 18 29 39 54 75 98 118
243 3 17.7.73 6 12 18 29 39 54 75 98 118
244 3 17.7.73 6 12 18 29 39 54 75 98 118
245 3 17.7.73 6 12 18 29 39 54 75 98 118
246 3 17.7.73 6 12 18 29 39 54 75 98 118
247 3 17.7.73 6 12 18 29 39 54 75 98 118
248 3 17.7.73 6 12 18 29 39 54 75 98 118
249 3 17.7.73 6 12 18 29 39 54 75 98 118
250 3 17.7.73 6 12 18 29 39 54 75 98 118
251 3 17.7.73 6 12 18 29 39 54 75 98 118
252 3 17.7.73 6 12 18 29 39 54 75 98 118
253 3 17.7.73 6 12 18 29 39 54 75 98 118
254 3 17.7.73 6 12 18 29 39 54 75 98 118
255 3 17.7.73 6 12 18 29 39 54 75 98 118
256 3 17.7.73 6 12 18 29 39 54 75 99 115
257 3 17.7.73 6 12 18 29 39 54 75 99 115
258 3 17.7.73 6 12 18 29 39 54 75 99 115
259 3 17.7.73 6 12 18 29 39 54 75 99 115
260 3 17.7.73 6 12 18 29 39 54 75 99 115
261 3 17.7.73 6 12 18 29 39 54 75 99 115
262 3 17.7.73 6 12 18 29 39 54 75 99 115
263 3 17.7.73 6 12 18 29 39 54 75 99 115
264 3 17.7.73 6 12 18 29 39 54 75 99 115
265 3 17.7.73 6 12 18 29 39 54 75 99 115
266 3 17.7.73 6 12 18 29 39 54 75 99 115
267 3 17.7.73 6 12 18 29 39 54 75 99 115
268 3 17.7.73 6 12 18 29 39 54 75 99 115
269 3 17.7.73 6 12 18 29 39 54 75 99 115
270 3 17.7.73 6 12 18 29 39 54 75 99 115
271 3 17.7.73 6 12 18 29 39 54 75 99 115
272 3 17.7.73 6 12 18 29 39 54 75 99 115
273 3 17.7.73 6 12 18 29 39 54 75 99 115
274 3 17.7.73 6 12 18 29 39 54 75 99 115
275 3 17.7.73 6 12 18 29 39 54 75 99 115
276 3 17.7.73 6 12 18 29 39 54 75 99 115
277 3 17.7.73 6 12 18 29 39 54 75 99 115
278 3 17.7.73 6 12 18 29 39 54 75 99 115
279 3 17.7.73 6 12 18 29 39 54 75 99 115
280 3 17.7.73 6 12 18 29 39 54 75 99 115
281 3 17.7.73 6 12 18 29 39 54 75 99 115
282 3 17.7.73 6 12 18 29 39 54 75 99 115
283 3 17.7.73 6 12 18 29 39 54 75 99 115
284 3 17.7.73 6 12 18 29 39 54 75 99 115
285 3 17.7.73 6 12 18 29 39 54 75 99 115
286 3 17.7.73 6 12 18 29 39 54 75 99 115
287 3 17.7.73 6 12 18 29 39 54 75 99 115
288 3 17.7.73 6 12 18 29 39 54 75 99 115
289 3 17.7.73 6 12 18 29 39 54 75 99 115
290 3 17.7.73 6 12 18 29 39 54 75 99 115
291 3 17.7.73 6 12 18 29 39 54 75 99 115
292 3 17.7.73 6 12 18 29 39 54 75 99 115
293 3 17.7.73 6 12 18 29 39 54 75 99 115
294 3 17.7.73 6 12 18 29 39 54 75 99 115
295 3 17.7.73 6 12 18 29 39 54 75 99 115
296 3 17.7.73 6 12 18 29 39 54 75 99 115
297 3 17.7.73 6 12 18 29 39 54 75 99 115
298 3 17.7.73 6 12 18 29 39 54 75 99 115
299 3 17.7.73 6 12 18 29 39 54 75 99 115
300 3 17.7.73 6 12 18 29 39 54 75 99 115
301 3 17.7.73 6 12 18 29 39 54 75 99 115
302 3 17.7.73 6 12 18 29 39 54 75 99 115
303 3 17.7.73 6 12 18 29 39 54 75 99 115
304 3 17.7.73 6 12 17 27 37 57 70 88 119
305 3 17.7.73 6 12 17 27 37 57 70 88 119
306 3 17.7.73 6 12 17 27 37 57 70 88 119
307 3 17.7.73 6 12 17 27 37 57 70 88 119
308 3 17.7.73 6 12 17 27 37 57 70 88 119
309 3 17.7.73 6 12 17 27 37 57 70 88 119
310 3 17.7.73 6 12 17 27 37 57 70 88 119
311 3 17.7.73 6 12 17 27 37 57 70 88 119
312 3 17.7.73 6 12 17 27 37 57 70 88 119
313 3 17.7.73 6 12 17 27 37 57 70 88 119
314 3 17.7.73 6 12 17 27 37 57 70 88 119
315 3 17.7.73 6 12 17 27 37 57 70 88 119
316 3 17.7.73 6 12 17 27 37 57 70 88 119
317 3 17.7.73 6 12 17 27 37 57 70 88 119
318 3 17.7.73 6 12 17 27 37 57 70 88 119
319 3 17.7.73 6 12 17 27 37 57 70 88 119
320 3 17.7.73 6 12 17 27 37 57 70 88 119
321 3 17.7.73 6 12 17 27 37 57 70 88 119
322 3 17.7.73 6 12 17 27 37 57 70 88 119
323 3 17.7.73 6 12 17 27 37 57 70 88 119
324 3 17.7.73 6 12 17 27 37 57 70 88 119
325 3 17.7.73 6 12 17 27 37 57 70 88 119
326 3 17.7.73 6 12 17 27 37 57 70 88 119
327 3 17.7.73 6 12 17 27 37 57 70 88 119
328 3 17.7.73 6 12 17 27 37 57 70 88 119
329 3 17.7.73 6 12 17 27 37 57 70 88 119
330 3 17.7.73 6 12 17 27 37 57 70 88 119
331 3 17.7.73 6 12 17 27 37 57 70 88 119
332 3 17.7.73 6 12 17 27 37 57 70 88 119
333 3 17.7.73 6 12 17 27 37 57 70 88 119
334 3 17.7.73 6 12 17 27 37 57 70 88 119
335 3 17.7.73 6 12 17 27 37 57 70 88 119
336 3 17.7.73 6 12 17 27 37 57 70 88 119
337 3 17.7.73 6 12 17 27 37 57 70 88 119
338 3 17.7.73 6 12 17 27 37 57 70 88 119
339 3 17.7.73 6 12 17 27 37 57 70 88 119
340 3 17.7.73 6 12 17 27 37 57 70 88 119
341 3 17.7.73 6 12 17 27 37 57 70 88 119
342 3 17.7.73 6 12 17 27 37 57 70 88 119
343 3 17.7.73 6 12 17 27 37 57 70 88 119
344 3 17.7.73 6 12 17 27 37 57 70 88 119
345 3 17.7.73 6 12 17 27 37 57 70 88 119
346 3 17.7.73 6 12 17 27 37 57 70 88 119
347 3 17.7.73 6 12 17 27 37 57 70 88 119
348 3 17.7.73 6 12 17 27 37 57 70 88 119
349 3 17.7.73 6 12 17 27 37 57 70 88 119
350 3 17.7.73 6 12 17 27 37 57 70 88 119
351 3 17.7.73 6 12 17 27 37 57 70 88 119
352 3 17.7.73 6 12 17 27 37 57 70 89 118
353 3 17.7.73 6 12 17 27 37 57 70 89 118
354 3 17.7.73 6 12 17 27 37 57 70 89 118
355 3 17.7.73 6 12 17 27 37 57 70 89 118
356 3 17.7.73 6 12 17 27 37 57 70 89 118
357 3 17.7.73 6 12 17 27 37 57 70 89 118
358 3 17.7.73 6 12 17 27 37 57 70 89 118
359 3 17.7.73 6 12 17 27 37 57 70 89 118
360 3 17.7.73 6 12 17 27 37 57 70 89 118
361 3 17.7.73 6 12 17 27 37 57 70 89 118
362 3 17.7.73 6 12 17 27 37 57 70 89 118
363 3 17.7.73 6 12 17 27 37 57 70 89 118
364 3 17.7.73 6 12 17 27 37 57 70 89 118
365 3 17.7.73 6 12 17 27 37 57 70 89 118
366 3 17.7.73 6 12 17 27 37 57 70 89 118
367 3 17.7.73 6 12 17 27 37 57 70 89 118
368 3 17.7.73 6 12 17 27 37 57 70 89 118
369 3 17.7.73 6 12 17 27 37 57 70 89 118
370 3 17.7.73 6 12 17 27 37 57 70 89 118
371 3 17.7.73 6 12 17 27 37 57 70 89 118
372 3 17.7.73 6 12 17 27 37 57 70 89 118
373 3 17.7.73 6 12 17 27 37 57 70 89 118
374 3 17.7.73 6 12 17 27 37 57 70 89 118
375 3 17.7.73 6 12 17 27 37 57 70 89 118
376 3 17.7.73 6 12 17 27 37 57 70 89 118
377 3 17.7.73 6 12 17 27 37 57 70 89 118
378 3 17.7.73 6 12 17 27 37 57 70 89 118
379 3 17.7.73 6 12 17 27 37 57 70 89 118
380 3 17.7.73 6 12 17 27 37 57 70 89 118
381 3 17.7.73 6 12 17 27 37 57 70 89 118
382 3 17.7.73 6 12 17 27 37 57 70 89 118
383 3 17.7.73 6 12 17 27 37 57 70 89 118
384 3 17.7.73 6 12 17 27 37 57 70 89 118
385 3 17.7.73 6 12 17 27 37 57 70 89 118
386 3 17.7.73 6 12 17 27 37 57 70 89 118
387 3 17.7.73 6 12 17 27 37 57 70 89 118
388 3 17.7.73 6 12 17 27 37 57 70 89 118
389 3 17.7.73 6 12 17 27 37 57 70 89 118
390 3 17.7.73 6 12 17 27 37 57 70 89 118
391 3 17.7.73 6 12 17 27 37 57 70 89 118
392 3 17.7.73 6 12 17 27 37 57 70 89 118
393 3 17.7.73 6 12 17 27 37 57 70 89 118
394 3 17.7.73 6 12 17 27 37 57 70 89 118
395 3 17.7.73 6 12 17 27 37 57 70 89 118
396 3 17.7.73 6 12 17 27 37 57 70 89 118
397 3 17.7.73 6 12 17 27 37 57 70 89 118
398 3 17.7.73 6 12 17 27 37 57 70 89 118
399 3 17.7.73 6 12 17 27 37 57 70 89 118
400 3 17.7.73 6 12 17 27 37 57 70 87 119
401 3 17.7.73 6 12 17 27 37 57 70 87 119
402 3 17.7.73 6 12 17 27 37 57 70 87 119
403 3 17.7.73 6 12 17 27 37 57 70 87 119
404 3 17.7.73 6 12 17 27 37 57 70 87 119
405 3 17.7.73 6 12 17 27 37 57 70 87 119
406 3 17.7.73 6 12 17 27 37 57 70 87 119
407 3 17.7.73 6 12 17 27 37 57 70 87 119
408 3 17.7.73 6 12 17 27 37 57 70 87 119
409 3 17.7.73 6 12 17 27 37 57 70 87 119
410 3 17.7.73 6 12 17 27 37 57 70 87 119
411 3 17.7.73 6 12 17 27 37 57 70 87 119
412 3 17.7.73 6 12 17 27 37 57 70 87 119
413 3 17.7.73 6 12 17 27 37 57 70 87 119
414 3 17.7.73 6 12 17 27 37 57 70 87 119
415 3 17.7.73 6 12 17 27 37 57 70 87 119
416 3 17.7.73 6 12 17 27 37 57 70 87 119
417 3 17.7.73 6 12 17 27 37 57 70 87 119
418 3 17.7.73 6 12 17 27 37 57 70 87 119
419 3 17.7.73 6 12 17 27 37 57 70 87 119
420 3 17.7.73 6 12 17 27 37 57 70 87 119
421 3 17.7.73 6 12 17 27 37 57 70 87 119
422 3 17.7.73 6 12 17 27 37 57 70 87 119
423 3 17.7.73 6 12 17 27 37 57 70 87 119
424 3 17.7.73 6 12 17 27 37 57 70 87 119
425 3 17.7.73 6 12 17 27 37 57 70 87 119
426 3 17.7.73 6 12 17 27 37 57 70 87 119
427 3 17.7.73 6 12 17 27 37 57 70 87 119
428 3 17.7.73 6 12 17 27 37 57 70 87 119
429 3 17.7.73 6 12 17 27 37 57 70 87 119
430 3 17.7.73 6 12 17 27 37 57 70 87 119
431 3 17.7.73 6 12 17 27 37 57 70 87 119
432 3 17.7.73 6 12 17 27 37 57 70 87 119
433 3 17.7.73 6 12 17 27 37 57 70 87 119
434 3 17.7.73 6 12 17 27 37 57 70 87 119
435 3 17.7.73 6 12 17 27 37 57 70 87 119
436 3 17.7.73 6 12 17 27 37 57 70 87 119
437 3 17.7.73 6 12 17 27 37 57 70 87 119
438 3 17.7.73 6 12 17 27 37 57 70 87 119
439 3 17.7.73 6 12 17 27 37 57 70 87 119
440 3 17.7.73 6 12 17 27 37 57 70 87 119
441 3 17.7.73 6 12 17 27 37 57 70 87 119
442 3 17.7.73 6 12 17 27 37 57 70 87 119
443 3 17.7.73 6 12 17 27 37 57 70 87 119
444 3 17.7.73 6 12 17 27 37 57 70 87 119
445 3 17.7.73 6 12 17 27 37 57 70 87 119
446 3 17.7.73 6 12 17 27 37 57 70 87 119
447 3 17.7.73 6 12 17 27 37 57 70 87 119

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)
I432 (No. 211)
Transitivity p, q (mofplus-deposit)
10, 16 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)
2
RCSR identification (mofplus-deposit)
kgt
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 15 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 19 0 0 0 14 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 27 0 0 0 17 32 0 0 0 18 22 0 0 0 18 33 0 0 0 19 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 26 0 0 0 25 44 0 0 0 26 45 0 0 0 27 46 0 0 0 28 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 32 0 0 0 31 53 0 0 0 32 54 0 0 0 33 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 37 0 0 0 35 59 0 0 0 36 60 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 42 0 0 0 41 69 0 0 0 42 70 0 0 0 43 71 0 0 0 43 72 0 0 0 44 73 0 0 0 44 74 0 0 0 45 54 0 0 0 45 75 0 0 0 46 48 0 0 0 46 55 0 0 0 47 76 0 0 0 47 77 0 0 0 48 78 0 0 0 49 51 0 0 0 49 79 0 0 0 50 68 0 0 0 50 80 0 0 0 51 81 0 0 0 52 82 0 0 0 52 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 86 0 0 0 55 87 0 0 0 56 88 0 0 0 56 89 0 0 0 57 60 0 0 0 57 90 0 0 0 58 76 0 0 0 58 91 0 0 0 59 92 0 0 0 59 93 0 0 0 60 94 0 0 0 61 95 0 0 0 61 96 0 0 0 62 97 0 0 0 62 98 0 0 0 63 69 1 0 0 63 99 0 0 0 64 65 0 0 0 64 100 0 0 0 65 101 0 0 0 66 88 0 0 0 66 102 0 0 0 67 103 0 0 0 67 104 0 0 0 68 105 0 0 0 69 106 0 0 0 70 107 0 0 0 70 108 0 0 0 71 109 0 0 0 71 110 0 0 0 72 73 0 0 0 72 111 0 0 0 73 112 0 0 0 74 113 0 0 0 74 114 0 0 0 75 113 0 0 0 75 115 0 0 0 76 116 0 0 0 77 117 0 0 0 77 118 0 0 0 78 119 0 0 0 78 120 0 0 0 79 121 0 0 0 79 122 0 0 0 80 123 0 0 0 80 124 0 0 0 81 125 0 0 0 81 126 0 0 0 82 127 0 0 0 82 128 0 0 0 83 84 0 0 0 83 129 0 0 0 84 130 0 0 0 85 131 0 0 0 85 132 0 0 0 86 132 0 0 0 86 133 0 0 0 87 134 0 0 0 87 135 0 0 0 88 136 0 0 0 89 125 0 1 0 89 137 0 0 0 90 114 0 0 1 90 138 0 0 0 91 139 0 0 0 91 140 0 0 0 92 141 0 0 0 92 142 0 0 0 93 95 0 0 0 93 100 0 0 0 94 143 0 0 0 94 144 0 0 0 95 145 0 0 0 96 146 0 0 0 96 147 0 0 0 97 141 0 0 0 97 148 0 0 0 98 99 0 0 0 98 149 0 0 0 99 107 1 0 0 100 150 0 0 0 101 145 0 0 0 101 151 0 0 0 102 152 0 0 0 102 153 0 0 0 103 154 0 0 0 103 155 0 0 0 104 106 0 0 0 104 156 0 0 0 105 108 0 0 0 105 157 0 0 0 106 150 -1 0 0 107 158 0 0 0 108 109 0 0 0 109 123 0 0 0 110 159 0 0 0 110 160 0 0 0 111 161 0 0 0 111 162 0 0 0 112 163 0 0 0 112 164 0 0 0 113 165 0 0 0 114 166 0 0 0 115 167 0 0 0 115 168 0 0 0 116 144 0 0 0 116 169 0 0 0 117 146 0 0 0 117 170 0 0 0 118 119 0 0 0 118 171 0 0 0 119 172 0 0 0 120 135 0 0 0 120 173 0 0 0 121 174 0 0 0 121 175 0 0 0 122 124 0 0 0 122 129 0 0 0 123 176 0 0 0 124 177 0 0 0 125 174 0 0 0 126 127 0 0 0 126 178 0 0 0 127 179 0 0 0 128 169 1 -1 -1 128 180 0 0 0 129 181 0 0 0 130 177 0 0 0 130 182 0 0 0 131 183 0 0 0 131 184 0 0 0 132 185 0 0 0 133 168 0 0 0 133 186 0 0 0 134 137 0 0 0 134 187 0 0 0 135 188 0 0 0 136 189 0 0 0 136 190 0 0 0 137 191 0 0 0 138 139 0 0 0 138 192 0 0 0 139 193 0 0 0 140 175 -1 1 1 140 181 -1 1 1 141 194 0 0 0 142 186 0 0 1 142 195 0 0 0 143 166 0 0 1 143 180 -1 1 1 144 146 0 0 0 145 196 0 0 0 147 176 0 1 1 147 197 0 0 0 148 184 0 0 1 148 198 0 0 0 149 179 0 0 0 149 199 0 0 0 150 195 0 0 0 151 152 0 0 0 151 200 0 0 0 152 191 0 0 0 153 162 1 0 0 153 163 1 0 0 154 157 0 0 0 154 188 0 -1 0 155 201 0 0 0 155 202 0 0 0 156 193 0 0 0 156 203 0 0 0 157 204 0 0 0 158 204 0 0 0 158 205 0 0 0 159 206 0 0 0 159 207 0 0 0 160 161 0 0 0 160 167 0 0 0 161 165 0 0 0 162 189 -1 0 0 163 208 0 0 0 164 166 0 0 0 164 209 0 0 0 165 192 0 0 -1 167 210 0 0 0 168 194 0 0 -1 169 181 -1 1 1 170 206 0 1 1 170 211 0 0 0 171 201 0 1 0 171 212 0 0 0 172 185 -1 1 1 172 213 0 0 0 173 204 0 1 0 173 214 0 0 0 174 190 0 -1 0 175 203 1 -1 -1 176 206 0 0 0 177 197 0 -1 -1 178 191 0 -1 0 178 208 1 -1 0 179 198 0 0 0 180 199 0 0 0 182 183 0 0 0 182 210 0 0 0 183 194 0 0 -1 184 213 1 -1 -1 185 215 0 0 0 186 216 0 0 0 187 200 0 0 0 187 211 0 0 0 188 212 0 0 0 189 217 0 0 0 190 218 0 0 0 192 217 -1 0 1 193 202 0 0 0 195 219 0 0 0 196 197 0 0 0 196 220 0 0 0 198 221 0 0 0 199 205 1 0 0 200 207 0 1 1 201 215 -1 0 1 202 222 0 0 0 203 219 -1 0 0 205 209 0 -1 0 207 220 0 -1 -1 208 221 -1 1 0 209 223 0 0 0 210 220 0 -1 -1 211 212 0 0 0 213 214 0 0 0 214 223 0 0 0 215 216 0 0 0 216 224 0 0 0 217 222 1 0 -1 218 219 0 0 -1 218 224 0 0 0 221 223 1 -1 0 222 224 -1 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
447
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)
447.07142857142856
Genus (mofplus-deposit)
113
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)
447.07142857142856
Genus (rcsr-archive-key)
113
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)
(7^3)
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, 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, 477.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 100 120
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, 957.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 89 117
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 1117.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 106 123
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, 1597.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 99 124
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, 2077.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 99 117
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, 2557.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 98 118
256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 3037.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 99 115
304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 3517.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 88 119
352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 3997.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 89 118
400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 4477.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 87 119

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

Net point symbol (rcsr-archive-key)
(7^3)
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, 5, 7, 26, 39, 40, 50, 51, 69, 72, 73, 78, 104, 110, 128, 130, 131, 132, 146, 164, 193, 195, 205, 2067.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 87 119
1, 2, 12, 16, 22, 29, 41, 43, 48, 67, 71, 82, 84, 85, 107, 112, 121, 158, 160, 167, 175, 182, 196, 2197.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 89 117
3, 13, 17, 45, 66, 68, 80, 81, 95, 106, 111, 113, 120, 140, 144, 156, 161, 169, 180, 183, 184, 185, 191, 1997.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 98 118
4, 6, 10, 15, 23, 24, 25, 28, 31, 42, 49, 52, 53, 74, 83, 108, 109, 114, 122, 123, 159, 176, 181, 2097.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 100 120
8, 21, 27, 54, 60, 96, 98, 100, 102, 105, 116, 125, 127, 137, 139, 141, 162, 165, 173, 186, 188, 203, 212, 2147.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 99 124
9, 18, 32, 47, 62, 89, 91, 94, 103, 124, 126, 145, 147, 150, 152, 153, 157, 163, 168, 171, 174, 210, 215, 2167.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 99 117
11, 14, 30, 44, 70, 79, 129, 1667.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 106 123
19, 35, 38, 46, 61, 64, 76, 86, 90, 97, 133, 135, 138, 142, 149, 154, 172, 177, 179, 189, 194, 200, 207, 2137.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 99 115
20, 33, 37, 55, 56, 58, 77, 88, 92, 101, 115, 118, 143, 151, 155, 178, 187, 197, 202, 204, 208, 211, 221, 2237.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 88 119
34, 36, 57, 59, 63, 65, 75, 87, 93, 99, 117, 119, 134, 136, 148, 170, 190, 192, 198, 201, 217, 218, 220, 2227.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 89 118

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 448 of 448 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 448 of 448 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
kgt
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
1126 (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
2415 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.