MOF++

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Net topology

gat-a

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

JSON · mfpx

576 vertices and 1008 edges in the unit cell. 144 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
Ia-3d (No. 230)
Cell lengths
a = 13.3326 Å, b = 13.3326 Å, c = 13.3326 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
576
Transitivity pqrs
6, 12, *, *
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 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 24 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 25 42 0 0 0 26 43 0 0 0 26 44 0 0 0 27 28 0 0 0 27 45 0 0 0 28 46 0 0 0 29 47 0 0 0 29 48 0 0 0 29 49 0 0 0 30 50 0 0 0 30 51 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 32 56 0 0 0 33 57 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 34 61 0 0 0 35 36 0 0 0 35 37 0 0 0 35 62 0 0 0 36 37 0 0 0 36 63 0 0 0 37 64 0 0 0 38 65 0 0 0 38 66 0 0 0 39 66 0 0 0 39 67 0 0 0 40 41 0 0 0 40 42 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 72 0 0 0 44 73 0 0 0 45 74 0 0 0 45 75 0 0 0 46 76 0 0 0 46 77 0 0 0 46 78 0 0 0 47 48 0 0 0 47 49 0 0 0 47 79 0 0 0 48 49 0 0 0 48 80 0 0 0 49 81 0 0 0 50 82 0 0 0 50 83 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 53 85 0 0 0 53 87 0 0 0 54 55 0 0 0 54 56 0 0 0 54 88 0 0 0 55 56 0 0 0 55 89 0 0 0 56 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 92 0 0 0 58 93 0 0 0 59 60 0 0 0 59 61 0 0 0 59 94 0 0 0 60 61 0 0 0 60 95 0 0 0 61 96 0 0 0 62 97 0 0 0 62 98 0 0 0 63 82 0 0 0 63 99 0 0 0 64 100 0 0 0 64 101 0 0 0 65 102 0 0 0 65 103 0 0 0 66 104 0 0 0 67 95 0 0 0 67 105 0 0 0 68 106 0 0 0 68 107 0 0 0 69 108 0 0 0 69 109 0 0 0 70 110 0 0 0 70 111 0 0 0 71 81 0 0 0 71 112 0 0 0 72 113 0 0 0 73 114 0 0 0 73 115 0 0 0 74 109 0 0 0 74 116 0 0 0 75 116 0 0 0 75 117 0 0 0 76 77 0 0 0 76 78 0 0 0 76 118 0 0 0 77 78 0 0 0 77 119 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 81 112 0 0 0 82 99 0 0 0 83 125 0 0 0 84 126 0 0 0 84 127 0 0 0 85 128 0 0 0 86 129 0 0 0 86 130 0 0 0 87 119 0 0 0 87 131 0 0 0 88 93 0 0 0 88 132 0 0 0 89 133 0 0 0 89 134 0 0 0 90 135 0 0 0 90 136 0 0 0 91 137 0 0 0 91 138 0 0 0 92 139 0 0 0 93 132 0 0 0 94 140 0 0 0 94 141 0 0 0 95 105 0 0 0 96 142 0 0 0 96 143 0 0 0 97 98 0 0 0 97 144 0 0 0 98 145 0 0 0 99 146 0 0 0 100 101 0 0 0 100 147 0 0 0 101 148 0 0 0 102 103 0 0 0 102 149 0 0 0 103 150 0 0 0 104 151 0 0 0 104 152 0 0 0 105 153 0 0 0 106 107 0 0 0 106 154 0 0 0 107 155 0 0 0 108 109 0 0 0 108 156 0 0 0 110 111 0 0 0 110 157 0 0 0 111 158 0 0 0 112 159 0 0 0 113 160 0 0 0 113 161 0 0 0 114 115 0 0 0 114 162 0 0 0 115 163 0 0 0 116 164 0 0 0 117 165 0 0 0 117 166 0 0 0 118 167 0 0 0 118 168 0 0 0 119 131 0 0 0 120 169 0 0 0 120 170 0 0 0 121 122 0 0 0 121 171 0 0 0 122 172 0 0 0 123 124 0 0 0 123 173 0 0 0 124 174 0 0 0 125 175 0 0 0 125 176 0 0 0 126 127 0 0 0 126 177 0 0 0 127 178 0 0 0 128 179 0 0 0 128 180 0 0 0 129 130 0 0 0 129 181 0 0 0 130 182 0 0 0 131 183 0 0 0 132 184 0 0 0 133 134 0 0 0 133 185 0 0 0 134 186 0 0 0 135 136 0 0 0 135 187 0 0 0 136 188 0 0 0 137 138 0 0 0 137 189 0 0 0 138 190 0 0 0 139 191 0 0 0 139 192 0 0 0 140 141 0 0 0 140 193 0 0 0 141 194 0 0 0 142 143 0 0 0 142 195 0 0 0 143 196 0 0 0 144 196 1 0 0 144 197 0 0 0 145 198 0 0 0 145 199 0 0 0 145 200 0 0 0 145 201 0 0 0 146 174 0 0 0 146 185 0 1 0 146 202 0 0 0 146 203 0 0 0 147 172 0 0 1 147 204 0 0 0 148 153 0 0 0 148 156 0 0 1 148 205 0 0 0 148 206 0 0 0 149 162 0 0 0 149 177 1 -1 1 149 182 0 0 0 149 190 1 -1 1 150 207 0 0 0 150 208 0 0 0 150 209 0 0 0 151 152 0 0 0 151 210 0 0 0 152 211 0 0 0 153 205 0 0 0 153 206 0 0 0 153 212 0 0 0 154 213 0 0 0 154 214 0 0 0 155 159 0 0 0 155 184 1 0 0 155 215 0 0 0 155 216 0 0 0 156 205 0 0 -1 156 206 0 0 -1 156 212 0 0 -1 157 217 0 0 0 157 218 0 0 0 157 219 0 0 0 157 220 0 0 0 158 173 0 -1 0 158 221 0 0 0 159 195 1 0 0 159 215 0 0 0 159 216 0 0 0 160 161 0 0 0 160 199 0 0 0 161 222 0 0 0 162 177 1 -1 1 162 182 0 0 0 162 223 0 0 0 163 224 0 0 0 163 225 0 0 0 163 226 0 0 0 164 227 0 0 0 164 228 0 0 0 165 166 0 0 0 165 229 0 0 0 166 223 -1 1 -1 167 168 0 0 0 167 212 0 0 -1 168 230 0 0 0 169 170 0 0 0 169 231 0 0 0 170 213 -1 0 0 171 211 0 1 -1 171 232 0 0 0 171 233 0 0 0 171 234 0 0 0 172 235 0 0 0 173 236 0 0 0 174 183 0 1 0 174 202 0 0 0 174 203 0 0 0 175 176 0 0 0 175 225 -1 1 -1 176 217 -1 1 0 177 190 0 0 0 177 223 -1 1 -1 178 210 -1 1 -1 178 237 0 0 0 178 238 0 0 0 179 180 0 0 0 179 220 0 0 0 180 239 0 0 0 181 240 0 0 0 181 241 0 0 0 181 242 0 0 0 182 190 1 -1 1 182 223 0 0 0 183 185 0 0 0 183 202 0 -1 0 183 203 0 -1 0 184 195 0 0 0 184 215 -1 0 0 184 216 -1 0 0 185 202 0 -1 0 185 203 0 -1 0 186 193 0 -1 0 186 243 0 0 0 187 230 0 0 1 187 244 0 0 0 188 211 0 0 0 188 232 0 -1 1 188 233 0 -1 1 188 234 0 -1 1 189 239 -1 1 -1 189 245 0 0 0 189 246 0 0 0 190 223 -1 1 -1 191 192 0 0 0 191 208 -1 1 -1 192 200 -1 0 -1 193 247 0 0 0 194 217 -1 1 0 194 218 -1 1 0 194 219 -1 1 0 194 220 -1 1 0 195 215 -1 0 0 195 216 -1 0 0 196 248 0 0 0 197 248 1 0 0 197 249 0 0 0 198 199 0 0 0 198 200 0 0 0 198 231 1 0 1 198 250 0 0 0 199 201 0 0 0 199 231 1 0 1 200 201 0 0 0 200 231 1 0 1 201 231 1 0 1 201 251 0 0 0 202 252 0 0 0 203 253 0 0 0 204 235 0 0 1 204 254 0 0 0 205 212 0 0 0 205 255 0 0 0 206 212 0 0 0 206 256 0 0 0 207 208 0 0 0 207 209 0 0 0 207 257 0 0 0 208 209 0 0 0 209 258 0 0 0 210 237 1 -1 1 210 238 1 -1 1 211 232 0 -1 1 211 234 0 -1 1 213 259 0 0 0 214 259 0 0 0 214 260 0 0 0 215 261 0 0 0 216 262 0 0 0 217 218 0 0 0 217 219 0 0 0 218 220 0 0 0 218 263 0 0 0 219 220 0 0 0 219 264 0 0 0 221 236 0 -1 0 221 265 0 0 0 222 229 1 -1 1 222 266 0 0 0 222 267 0 0 0 224 225 0 0 0 224 226 0 0 0 224 268 0 0 0 225 226 0 0 0 226 269 0 0 0 227 228 0 0 0 227 233 0 0 0 228 242 -1 1 -1 229 266 -1 1 -1 229 267 -1 1 -1 230 270 0 0 0 232 233 0 0 0 232 271 0 0 0 233 234 0 0 0 234 272 0 0 0 235 273 0 0 0 236 274 0 0 0 237 238 0 0 0 237 275 0 0 0 238 276 0 0 0 239 245 1 -1 1 239 246 1 -1 1 240 241 0 0 0 240 242 0 0 0 240 277 0 0 0 241 242 0 0 0 241 278 0 0 0 243 247 0 -1 0 243 279 0 0 0 244 270 0 0 1 244 280 0 0 0 245 246 0 0 0 245 281 0 0 0 246 282 0 0 0 247 283 0 0 0 248 284 0 0 0 249 253 0 0 0 249 257 0 1 0 250 282 1 0 1 250 285 0 0 0 251 254 0 0 0 251 268 0 0 0 252 286 0 0 0 252 287 0 0 0 253 257 0 1 0 254 268 0 0 0 255 281 0 0 1 255 283 0 0 0 256 265 0 0 1 256 269 0 0 0 258 271 0 -1 1 258 279 0 0 0 259 287 1 -1 0 260 263 0 0 0 260 277 0 0 0 261 273 0 0 0 261 275 1 0 0 262 278 0 0 0 262 280 1 0 0 263 277 0 0 0 264 276 1 -1 0 264 284 1 -1 0 265 269 0 0 -1 266 267 0 0 0 266 288 0 0 0 267 286 1 -1 1 270 285 -1 0 -1 271 279 0 1 -1 272 274 0 0 0 272 288 -1 1 -1 273 275 1 0 0 274 288 -1 1 -1 276 284 0 0 0 278 280 1 0 0 281 283 0 0 -1 282 285 -1 0 -1 286 287 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
ab4fc52574c6ac0e8df52ab9fdbd13e3 (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: 576 of 576 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. 576 of 576 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 Ia-3d, 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 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
1 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
2 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
3 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
4 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
5 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
6 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
7 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
8 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
9 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
10 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
11 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
12 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
13 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
14 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
15 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
16 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
17 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
18 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
19 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
20 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
21 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
22 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
23 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
24 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
25 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
26 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
27 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
28 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
29 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
30 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
31 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
32 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
33 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
34 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
35 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
36 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
37 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
38 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
39 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
40 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
41 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
42 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
43 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
44 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
45 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
46 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
47 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
48 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
49 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
50 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
51 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
52 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
53 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
54 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
55 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
56 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
57 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
58 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
59 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
60 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
61 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
62 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
63 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
64 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
65 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
66 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
67 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
68 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
69 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
70 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
71 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
72 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
73 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
74 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
75 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
76 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
77 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
78 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
79 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
80 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
81 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
82 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
83 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
84 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
85 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
86 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
87 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
88 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
89 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
90 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
91 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
92 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
93 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
94 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
95 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 15 28 38 48 65 102 125
96 3 13.12.123 6 10 15 21 32 52 70 80 112
97 3 13.12.123 6 10 15 21 32 52 70 80 112
98 3 13.12.123 6 10 15 21 32 52 70 80 112
99 3 13.12.123 6 10 15 21 32 52 70 80 112
100 3 13.12.123 6 10 15 21 32 52 70 80 112
101 3 13.12.123 6 10 15 21 32 52 70 80 112
102 3 13.12.123 6 10 15 21 32 52 70 80 112
103 3 13.12.123 6 10 15 21 32 52 70 80 112
104 3 13.12.123 6 10 15 21 32 52 70 80 112
105 3 13.12.123 6 10 15 21 32 52 70 80 112
106 3 13.12.123 6 10 15 21 32 52 70 80 112
107 3 13.12.123 6 10 15 21 32 52 70 80 112
108 3 13.12.123 6 10 15 21 32 52 70 80 112
109 3 13.12.123 6 10 15 21 32 52 70 80 112
110 3 13.12.123 6 10 15 21 32 52 70 80 112
111 3 13.12.123 6 10 15 21 32 52 70 80 112
112 3 13.12.123 6 10 15 21 32 52 70 80 112
113 3 13.12.123 6 10 15 21 32 52 70 80 112
114 3 13.12.123 6 10 15 21 32 52 70 80 112
115 3 13.12.123 6 10 15 21 32 52 70 80 112
116 3 13.12.123 6 10 15 21 32 52 70 80 112
117 3 13.12.123 6 10 15 21 32 52 70 80 112
118 3 13.12.123 6 10 15 21 32 52 70 80 112
119 3 13.12.123 6 10 15 21 32 52 70 80 112
120 3 13.12.123 6 10 15 21 32 52 70 80 112
121 3 13.12.123 6 10 15 21 32 52 70 80 112
122 3 13.12.123 6 10 15 21 32 52 70 80 112
123 3 13.12.123 6 10 15 21 32 52 70 80 112
124 3 13.12.123 6 10 15 21 32 52 70 80 112
125 3 13.12.123 6 10 15 21 32 52 70 80 112
126 3 13.12.123 6 10 15 21 32 52 70 80 112
127 3 13.12.123 6 10 15 21 32 52 70 80 112
128 3 13.12.123 6 10 15 21 32 52 70 80 112
129 3 13.12.123 6 10 15 21 32 52 70 80 112
130 3 13.12.123 6 10 15 21 32 52 70 80 112
131 3 13.12.123 6 10 15 21 32 52 70 80 112
132 3 13.12.123 6 10 15 21 32 52 70 80 112
133 3 13.12.123 6 10 15 21 32 52 70 80 112
134 3 13.12.123 6 10 15 21 32 52 70 80 112
135 3 13.12.123 6 10 15 21 32 52 70 80 112
136 3 13.12.123 6 10 15 21 32 52 70 80 112
137 3 13.12.123 6 10 15 21 32 52 70 80 112
138 3 13.12.123 6 10 15 21 32 52 70 80 112
139 3 13.12.123 6 10 15 21 32 52 70 80 112
140 3 13.12.123 6 10 15 21 32 52 70 80 112
141 3 13.12.123 6 10 15 21 32 52 70 80 112
142 3 13.12.123 6 10 15 21 32 52 70 80 112
143 3 13.12.123 6 10 15 21 32 52 70 80 112
144 3 13.12.123 6 10 15 21 32 52 70 80 112
145 3 13.12.123 6 10 15 21 32 52 70 80 112
146 3 13.12.123 6 10 15 21 32 52 70 80 112
147 3 13.12.123 6 10 15 21 32 52 70 80 112
148 3 13.12.123 6 10 15 21 32 52 70 80 112
149 3 13.12.123 6 10 15 21 32 52 70 80 112
150 3 13.12.123 6 10 15 21 32 52 70 80 112
151 3 13.12.123 6 10 15 21 32 52 70 80 112
152 3 13.12.123 6 10 15 21 32 52 70 80 112
153 3 13.12.123 6 10 15 21 32 52 70 80 112
154 3 13.12.123 6 10 15 21 32 52 70 80 112
155 3 13.12.123 6 10 15 21 32 52 70 80 112
156 3 13.12.123 6 10 15 21 32 52 70 80 112
157 3 13.12.123 6 10 15 21 32 52 70 80 112
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541 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
542 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
543 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
544 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
545 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
546 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
547 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
548 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
549 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
550 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
551 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
552 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
553 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
554 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
555 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
556 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
557 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
558 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
559 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
560 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
561 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
562 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
563 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
564 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
565 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
566 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
567 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
568 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
569 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
570 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
571 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
572 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
573 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
574 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144
575 4 13.3.3.12.12.13(2)4 5 8 12 26 36 46 65 107 144

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)
Ia-3d (No. 230)
Transitivity p, q (mofplus-deposit)
6, 12 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)
48
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
gat-a
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 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 24 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 25 42 0 0 0 26 43 0 0 0 26 44 0 0 0 27 28 0 0 0 27 45 0 0 0 28 46 0 0 0 29 47 0 0 0 29 48 0 0 0 29 49 0 0 0 30 50 0 0 0 30 51 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 32 56 0 0 0 33 57 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 34 61 0 0 0 35 36 0 0 0 35 37 0 0 0 35 62 0 0 0 36 37 0 0 0 36 63 0 0 0 37 64 0 0 0 38 65 0 0 0 38 66 0 0 0 39 66 0 0 0 39 67 0 0 0 40 41 0 0 0 40 42 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 72 0 0 0 44 73 0 0 0 45 74 0 0 0 45 75 0 0 0 46 76 0 0 0 46 77 0 0 0 46 78 0 0 0 47 48 0 0 0 47 49 0 0 0 47 79 0 0 0 48 49 0 0 0 48 80 0 0 0 49 81 0 0 0 50 82 0 0 0 50 83 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 53 85 0 0 0 53 87 0 0 0 54 55 0 0 0 54 56 0 0 0 54 88 0 0 0 55 56 0 0 0 55 89 0 0 0 56 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 92 0 0 0 58 93 0 0 0 59 60 0 0 0 59 61 0 0 0 59 94 0 0 0 60 61 0 0 0 60 95 0 0 0 61 96 0 0 0 62 97 0 0 0 62 98 0 0 0 63 82 0 0 0 63 99 0 0 0 64 100 0 0 0 64 101 0 0 0 65 102 0 0 0 65 103 0 0 0 66 104 0 0 0 67 95 0 0 0 67 105 0 0 0 68 106 0 0 0 68 107 0 0 0 69 108 0 0 0 69 109 0 0 0 70 110 0 0 0 70 111 0 0 0 71 81 0 0 0 71 112 0 0 0 72 113 0 0 0 73 114 0 0 0 73 115 0 0 0 74 109 0 0 0 74 116 0 0 0 75 116 0 0 0 75 117 0 0 0 76 77 0 0 0 76 78 0 0 0 76 118 0 0 0 77 78 0 0 0 77 119 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 81 112 0 0 0 82 99 0 0 0 83 125 0 0 0 84 126 0 0 0 84 127 0 0 0 85 128 0 0 0 86 129 0 0 0 86 130 0 0 0 87 119 0 0 0 87 131 0 0 0 88 93 0 0 0 88 132 0 0 0 89 133 0 0 0 89 134 0 0 0 90 135 0 0 0 90 136 0 0 0 91 137 0 0 0 91 138 0 0 0 92 139 0 0 0 93 132 0 0 0 94 140 0 0 0 94 141 0 0 0 95 105 0 0 0 96 142 0 0 0 96 143 0 0 0 97 98 0 0 0 97 144 0 0 0 98 145 0 0 0 99 146 0 0 0 100 101 0 0 0 100 147 0 0 0 101 148 0 0 0 102 103 0 0 0 102 149 0 0 0 103 150 0 0 0 104 151 0 0 0 104 152 0 0 0 105 153 0 0 0 106 107 0 0 0 106 154 0 0 0 107 155 0 0 0 108 109 0 0 0 108 156 0 0 0 110 111 0 0 0 110 157 0 0 0 111 158 0 0 0 112 159 0 0 0 113 160 0 0 0 113 161 0 0 0 114 115 0 0 0 114 162 0 0 0 115 163 0 0 0 116 164 0 0 0 117 165 0 0 0 117 166 0 0 0 118 167 0 0 0 118 168 0 0 0 119 131 0 0 0 120 169 0 0 0 120 170 0 0 0 121 122 0 0 0 121 171 0 0 0 122 172 0 0 0 123 124 0 0 0 123 173 0 0 0 124 174 0 0 0 125 175 0 0 0 125 176 0 0 0 126 127 0 0 0 126 177 0 0 0 127 178 0 0 0 128 179 0 0 0 128 180 0 0 0 129 130 0 0 0 129 181 0 0 0 130 182 0 0 0 131 183 0 0 0 132 184 0 0 0 133 134 0 0 0 133 185 0 0 0 134 186 0 0 0 135 136 0 0 0 135 187 0 0 0 136 188 0 0 0 137 138 0 0 0 137 189 0 0 0 138 190 0 0 0 139 191 0 0 0 139 192 0 0 0 140 141 0 0 0 140 193 0 0 0 141 194 0 0 0 142 143 0 0 0 142 195 0 0 0 143 196 0 0 0 144 196 1 0 0 144 197 0 0 0 145 198 0 0 0 145 199 0 0 0 145 200 0 0 0 145 201 0 0 0 146 174 0 0 0 146 185 0 1 0 146 202 0 0 0 146 203 0 0 0 147 172 0 0 1 147 204 0 0 0 148 153 0 0 0 148 156 0 0 1 148 205 0 0 0 148 206 0 0 0 149 162 0 0 0 149 177 1 -1 1 149 182 0 0 0 149 190 1 -1 1 150 207 0 0 0 150 208 0 0 0 150 209 0 0 0 151 152 0 0 0 151 210 0 0 0 152 211 0 0 0 153 205 0 0 0 153 206 0 0 0 153 212 0 0 0 154 213 0 0 0 154 214 0 0 0 155 159 0 0 0 155 184 1 0 0 155 215 0 0 0 155 216 0 0 0 156 205 0 0 -1 156 206 0 0 -1 156 212 0 0 -1 157 217 0 0 0 157 218 0 0 0 157 219 0 0 0 157 220 0 0 0 158 173 0 -1 0 158 221 0 0 0 159 195 1 0 0 159 215 0 0 0 159 216 0 0 0 160 161 0 0 0 160 199 0 0 0 161 222 0 0 0 162 177 1 -1 1 162 182 0 0 0 162 223 0 0 0 163 224 0 0 0 163 225 0 0 0 163 226 0 0 0 164 227 0 0 0 164 228 0 0 0 165 166 0 0 0 165 229 0 0 0 166 223 -1 1 -1 167 168 0 0 0 167 212 0 0 -1 168 230 0 0 0 169 170 0 0 0 169 231 0 0 0 170 213 -1 0 0 171 211 0 1 -1 171 232 0 0 0 171 233 0 0 0 171 234 0 0 0 172 235 0 0 0 173 236 0 0 0 174 183 0 1 0 174 202 0 0 0 174 203 0 0 0 175 176 0 0 0 175 225 -1 1 -1 176 217 -1 1 0 177 190 0 0 0 177 223 -1 1 -1 178 210 -1 1 -1 178 237 0 0 0 178 238 0 0 0 179 180 0 0 0 179 220 0 0 0 180 239 0 0 0 181 240 0 0 0 181 241 0 0 0 181 242 0 0 0 182 190 1 -1 1 182 223 0 0 0 183 185 0 0 0 183 202 0 -1 0 183 203 0 -1 0 184 195 0 0 0 184 215 -1 0 0 184 216 -1 0 0 185 202 0 -1 0 185 203 0 -1 0 186 193 0 -1 0 186 243 0 0 0 187 230 0 0 1 187 244 0 0 0 188 211 0 0 0 188 232 0 -1 1 188 233 0 -1 1 188 234 0 -1 1 189 239 -1 1 -1 189 245 0 0 0 189 246 0 0 0 190 223 -1 1 -1 191 192 0 0 0 191 208 -1 1 -1 192 200 -1 0 -1 193 247 0 0 0 194 217 -1 1 0 194 218 -1 1 0 194 219 -1 1 0 194 220 -1 1 0 195 215 -1 0 0 195 216 -1 0 0 196 248 0 0 0 197 248 1 0 0 197 249 0 0 0 198 199 0 0 0 198 200 0 0 0 198 231 1 0 1 198 250 0 0 0 199 201 0 0 0 199 231 1 0 1 200 201 0 0 0 200 231 1 0 1 201 231 1 0 1 201 251 0 0 0 202 252 0 0 0 203 253 0 0 0 204 235 0 0 1 204 254 0 0 0 205 212 0 0 0 205 255 0 0 0 206 212 0 0 0 206 256 0 0 0 207 208 0 0 0 207 209 0 0 0 207 257 0 0 0 208 209 0 0 0 209 258 0 0 0 210 237 1 -1 1 210 238 1 -1 1 211 232 0 -1 1 211 234 0 -1 1 213 259 0 0 0 214 259 0 0 0 214 260 0 0 0 215 261 0 0 0 216 262 0 0 0 217 218 0 0 0 217 219 0 0 0 218 220 0 0 0 218 263 0 0 0 219 220 0 0 0 219 264 0 0 0 221 236 0 -1 0 221 265 0 0 0 222 229 1 -1 1 222 266 0 0 0 222 267 0 0 0 224 225 0 0 0 224 226 0 0 0 224 268 0 0 0 225 226 0 0 0 226 269 0 0 0 227 228 0 0 0 227 233 0 0 0 228 242 -1 1 -1 229 266 -1 1 -1 229 267 -1 1 -1 230 270 0 0 0 232 233 0 0 0 232 271 0 0 0 233 234 0 0 0 234 272 0 0 0 235 273 0 0 0 236 274 0 0 0 237 238 0 0 0 237 275 0 0 0 238 276 0 0 0 239 245 1 -1 1 239 246 1 -1 1 240 241 0 0 0 240 242 0 0 0 240 277 0 0 0 241 242 0 0 0 241 278 0 0 0 243 247 0 -1 0 243 279 0 0 0 244 270 0 0 1 244 280 0 0 0 245 246 0 0 0 245 281 0 0 0 246 282 0 0 0 247 283 0 0 0 248 284 0 0 0 249 253 0 0 0 249 257 0 1 0 250 282 1 0 1 250 285 0 0 0 251 254 0 0 0 251 268 0 0 0 252 286 0 0 0 252 287 0 0 0 253 257 0 1 0 254 268 0 0 0 255 281 0 0 1 255 283 0 0 0 256 265 0 0 1 256 269 0 0 0 258 271 0 -1 1 258 279 0 0 0 259 287 1 -1 0 260 263 0 0 0 260 277 0 0 0 261 273 0 0 0 261 275 1 0 0 262 278 0 0 0 262 280 1 0 0 263 277 0 0 0 264 276 1 -1 0 264 284 1 -1 0 265 269 0 0 -1 266 267 0 0 0 266 288 0 0 0 267 286 1 -1 1 270 285 -1 0 -1 271 279 0 1 -1 272 274 0 0 0 272 288 -1 1 -1 273 275 1 0 0 274 288 -1 1 -1 276 284 0 0 0 278 280 1 0 0 281 283 0 0 -1 282 285 -1 0 -1 286 287 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
420
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)
419.5
Genus (mofplus-deposit)
217
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)
419.5
Genus (rcsr-archive-key)
217
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)
(3.12^2)3(4.12.14)(3^3.12^2.13)(3^4.4^2.12^2.13^2)
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, 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, 953.3.3.3.4(3).4(3).12.12.13.13 3.3.3.3.4.4.12.12.16.16 3^4.4^2.12^2.13^2 5 7 11 15 28 38 48 65 102 125
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, 1913.12.12 3.12.12 3.12^2 3 6 10 15 21 32 52 70 80 112
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, 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, 2874.12(2).14(2) 4.12(2).16(2) 4.12.14 3 5 7 13 24 36 46 66 97 124
288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 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, 351, 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, 3833.12.12 3.12.12 3.12^2 3 4 10 13 21 30 52 71 81 105
384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 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, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 4793.12.12 3.12.12 3.12^2 3 5 9 14 20 32 50 71 82 116
480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 5753.3.3.12.12.13(2) 3.3.3.12.12.17(2) 3^3.12^2.13 4 5 8 12 26 36 46 65 107 144

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

Net point symbol (rcsr-archive-key)
(3.12^2)3(4.12.14)(3^3.12^2.13)(3^4.4^2.12^2.13^2)
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, 2, 3, 4, 7, 144, 145, 147, 148, 152, 154, 155, 156, 158, 161, 170, 173, 176, 181, 182, 183, 184, 187, 189, 193, 194, 197, 198, 199, 200, 201, 202, 204, 205, 210, 211, 214, 215, 216, 217, 218, 219, 222, 230, 231, 232, 2333.3.3.3.4(3).4(3).12.12.13.13 3.3.3.3.4.4.12.12.16.16 3^4.4^2.12^2.13^2 5 7 11 15 28 38 48 65 102 125
5, 6, 8, 9, 10, 15, 97, 98, 100, 101, 104, 106, 107, 109, 111, 113, 120, 123, 125, 129, 130, 131, 132, 135, 137, 140, 141, 151, 159, 165, 166, 168, 175, 178, 191, 226, 249, 250, 251, 252, 254, 255, 260, 261, 262, 263, 270, 2713.12.12 3.12.12 3.12^2 3 6 10 15 21 32 52 70 80 112
11, 13, 16, 19, 21, 27, 61, 62, 63, 67, 68, 69, 78, 79, 80, 87, 88, 89, 93, 94, 95, 102, 114, 117, 118, 119, 126, 128, 136, 150, 160, 164, 174, 179, 190, 227, 256, 257, 267, 268, 274, 275, 276, 277, 280, 281, 285, 2873.12.12 3.12.12 3.12^2 3 5 9 14 20 32 50 71 82 116
12, 14, 17, 18, 20, 26, 64, 66, 70, 72, 81, 83, 85, 86, 90, 92, 96, 99, 103, 105, 108, 110, 112, 116, 121, 122, 124, 127, 133, 134, 138, 139, 142, 163, 167, 169, 248, 253, 259, 264, 272, 273, 278, 279, 282, 283, 284, 2863.12.12 3.12.12 3.12^2 3 4 10 13 21 30 52 71 81 105
22, 24, 28, 31, 33, 34, 35, 36, 39, 40, 41, 45, 46, 47, 48, 53, 54, 55, 58, 59, 60, 75, 76, 77, 149, 162, 177, 180, 188, 206, 207, 208, 209, 221, 223, 224, 225, 228, 236, 237, 238, 239, 240, 241, 244, 245, 265, 2663.3.3.12.12.13(2) 3.3.3.12.12.17(2) 3^3.12^2.13 4 5 8 12 26 36 46 65 107 144
23, 25, 29, 30, 32, 37, 38, 42, 43, 44, 49, 50, 51, 52, 56, 57, 65, 71, 73, 74, 82, 84, 91, 115, 143, 146, 153, 157, 171, 172, 185, 186, 192, 195, 196, 203, 212, 213, 220, 229, 234, 235, 242, 243, 246, 247, 258, 2694.12(2).14(2) 4.12(2).16(2) 4.12.14 3 5 7 13 24 36 46 66 97 124

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 576 of 576 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 576 of 576 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
gat-a
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
886 (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
2430 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.