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Net topology

dnu-a

Ingested production record from rcsr. Per-field provenance in field_sources. No geometry: the RCSR archive carries none.

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384 vertices and 624 edges in the unit cell. 72 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.
Computed drawing, not a deposit. This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.

Crystallographic description

Spacegroup
Im-3m (No. 229)
Cell lengths
a = 11.4477, b = 11.4477, c = 11.4477
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.
Vertices in cell
384
Transitivity pqrs
4, 10, *, *
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 RCSR archive key, the canonical key the archive states. 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 8 0 0 0 4 9 0 0 0 4 11 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 17 0 0 0 8 18 0 0 0 9 17 0 0 0 9 19 0 0 0 10 20 0 0 0 10 21 0 0 0 11 22 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 33 0 0 0 18 34 0 0 0 19 35 0 0 0 19 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 38 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 41 0 0 0 23 42 0 0 0 24 29 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 26 39 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 29 50 0 0 0 29 51 0 0 0 30 48 0 0 0 30 52 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 60 0 0 0 36 61 0 0 0 37 53 0 0 0 37 62 0 0 0 37 63 0 0 0 38 64 0 0 0 39 65 0 0 0 40 58 0 0 0 40 66 0 0 0 41 67 0 0 0 42 61 0 0 0 42 68 0 0 0 42 69 0 0 0 43 50 0 0 0 43 70 0 0 0 43 71 0 0 0 44 51 0 0 0 44 70 0 0 0 44 72 0 0 0 45 73 0 0 0 45 74 0 0 0 46 65 0 0 0 46 75 0 0 0 47 76 0 0 0 47 77 0 0 0 48 77 0 0 0 49 78 0 0 0 49 79 0 0 0 50 80 0 0 0 50 81 0 0 0 51 81 0 0 0 51 82 0 0 0 52 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 86 0 0 0 54 87 0 0 0 55 87 0 0 0 55 88 0 0 0 56 86 0 0 0 56 89 0 0 0 56 90 0 0 0 57 91 0 0 0 58 92 0 0 0 59 88 0 0 0 59 93 0 0 0 60 94 0 0 0 61 95 0 0 0 61 96 0 0 0 62 84 0 0 0 62 97 0 0 0 62 98 0 0 0 63 85 0 0 0 63 97 0 0 0 63 99 0 0 0 64 100 0 0 0 64 101 0 0 0 65 102 0 0 0 66 92 0 0 0 66 103 0 0 0 67 104 0 0 0 67 105 0 0 0 68 95 0 0 0 68 106 0 0 0 68 107 0 0 0 69 96 0 0 0 69 107 0 0 0 69 108 0 0 0 70 81 0 0 0 70 109 0 0 0 71 110 0 0 0 71 111 0 0 0 72 103 0 0 0 72 112 0 0 0 73 111 0 0 0 73 113 0 0 0 74 113 0 0 0 74 114 0 0 0 75 108 0 0 0 75 115 0 0 0 76 116 0 0 0 76 117 0 0 0 77 118 0 0 0 78 94 1 0 0 78 119 0 0 0 79 94 1 0 0 79 120 0 0 0 80 120 0 0 0 80 121 0 0 0 81 122 0 0 0 82 123 0 0 0 82 124 0 0 0 83 104 0 1 0 83 105 0 1 0 84 125 0 0 0 84 126 0 0 0 85 126 0 0 0 85 127 0 0 0 86 128 0 0 0 86 129 0 0 0 87 113 0 0 1 88 130 0 0 0 89 117 0 0 0 89 128 0 0 0 89 131 0 0 0 90 129 0 0 0 90 131 0 0 0 90 132 0 0 0 91 100 1 -1 1 91 101 1 -1 1 92 124 0 0 0 93 130 0 0 0 93 133 0 0 0 95 134 0 0 0 95 135 0 0 0 96 135 0 0 0 96 136 0 0 0 97 126 0 0 0 97 137 0 0 0 98 138 0 0 0 98 139 0 0 0 99 133 0 0 0 99 140 0 0 0 100 139 0 0 0 101 141 0 0 0 102 136 0 0 0 102 142 0 0 0 103 143 0 0 0 104 144 0 0 0 105 145 0 0 0 106 144 0 0 0 106 146 0 0 0 107 135 0 0 0 107 147 0 0 0 108 148 0 0 0 109 149 0 0 0 109 150 0 0 0 110 151 0 0 0 110 152 0 0 0 111 152 0 0 0 112 143 0 0 0 112 153 0 0 0 114 154 0 0 0 114 155 0 0 0 115 148 0 0 0 115 156 0 0 0 116 137 1 -1 1 116 157 0 0 0 117 137 1 -1 1 118 149 0 0 1 118 150 0 0 1 119 134 1 0 0 119 158 0 0 0 120 159 0 0 0 121 159 0 0 0 121 160 0 0 0 122 136 1 0 0 122 142 1 0 0 123 135 1 0 0 123 161 0 0 0 124 161 0 0 0 125 145 0 1 0 125 162 0 0 0 126 148 0 1 0 127 147 0 1 0 127 163 0 0 0 128 150 0 0 1 128 153 0 0 1 129 153 0 0 1 129 154 0 0 1 130 163 0 0 0 131 140 1 -1 1 131 153 0 0 1 132 141 1 -1 1 132 164 0 0 0 133 165 0 0 0 134 166 0 0 0 138 167 0 0 0 138 168 0 0 0 139 168 0 0 0 140 165 0 0 0 141 169 0 0 0 142 170 0 0 0 143 171 0 0 0 144 172 0 0 0 145 173 0 0 0 146 172 0 0 0 146 174 0 0 0 147 175 0 0 0 149 176 0 0 0 151 160 0 0 0 151 167 0 0 0 151 174 0 1 -1 152 177 0 0 0 154 178 0 0 0 155 178 0 0 0 155 179 0 0 0 156 157 -1 0 -1 156 179 0 0 0 157 180 0 0 0 158 166 1 0 0 158 180 0 0 0 159 181 0 0 0 160 182 0 0 0 160 183 0 0 0 161 184 0 0 0 162 173 0 1 0 162 183 0 0 0 163 175 0 1 0 164 169 1 -1 1 164 182 0 -1 1 165 185 0 0 0 166 186 0 0 0 167 183 0 0 0 167 186 0 1 -1 168 187 0 0 0 169 188 0 0 0 170 176 -1 0 0 170 188 0 0 0 171 185 1 -1 0 171 189 0 0 0 172 190 0 0 0 173 189 0 0 0 174 182 0 -1 1 174 186 0 0 0 175 191 0 0 0 176 190 0 1 -1 177 187 0 0 0 177 191 0 1 -1 178 192 0 0 0 179 180 -1 0 -1 181 185 1 0 0 181 189 0 1 0 182 192 0 1 0 183 192 0 1 0 184 187 1 -1 1 184 191 1 0 0 186 192 0 0 1 188 190 -1 1 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01, and re-canonicalised here. Systre 19.6.0 was run on the RCSR archive key, the canonical key the archive states — on this very text, which is the only graph this record carries — and returned the same key, character for character. That is a check on the copy and not a second source: the input was the archive key itself, so the two statements are not independent, and what the run establishes is that the text is a well-formed canonical key which Systre reproduces unchanged. A deposited graph of this net would be the independent statement; this record holds none. 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
e0cb5b1e824b8bf9d908abb0da907158 (rcsr)

Vertices

No coordination sequence is recorded for this net: the source stores none. Every sequence below is absent — which is a different fact from a sequence of length zero, and is why the field is null rather than an empty list.

Site symmetry. 384 of 384 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, rcsr-archive-key). 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 Im-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the rcsr-archive-key. 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 1——
1 4 1——
2 4 1——
3 4 1——
4 4 1——
5 4 1——
6 4 1——
7 4 1——
8 4 1——
9 4 1——
10 4 1——
11 4 1——
12 4 1——
13 4 1——
14 4 1——
15 4 1——
16 4 1——
17 4 1——
18 4 1——
19 4 1——
20 4 1——
21 4 1——
22 4 1——
23 4 1——
24 4 1——
25 4 1——
26 4 1——
27 4 1——
28 4 1——
29 4 1——
30 4 1——
31 4 1——
32 4 1——
33 4 1——
34 4 1——
35 4 1——
36 4 1——
37 4 1——
38 4 1——
39 4 1——
40 4 1——
41 4 1——
42 4 1——
43 4 1——
44 4 1——
45 4 1——
46 4 1——
47 4 1——
48 4 1——
49 4 1——
50 4 1——
51 4 1——
52 4 1——
53 4 1——
54 4 1——
55 4 1——
56 4 1——
57 4 1——
58 4 1——
59 4 1——
60 4 1——
61 4 1——
62 4 1——
63 4 1——
64 4 1——
65 4 1——
66 4 1——
67 4 1——
68 4 1——
69 4 1——
70 4 1——
71 4 1——
72 4 1——
73 4 1——
74 4 1——
75 4 1——
76 4 1——
77 4 1——
78 4 1——
79 4 1——
80 4 1——
81 4 1——
82 4 1——
83 4 1——
84 4 1——
85 4 1——
86 4 1——
87 4 1——
88 4 1——
89 4 1——
90 4 1——
91 4 1——
92 4 1——
93 4 1——
94 4 1——
95 4 1——
96 3 1——
97 3 1——
98 3 1——
99 3 1——
100 3 1——
101 3 1——
102 3 1——
103 3 1——
104 3 1——
105 3 1——
106 3 1——
107 3 1——
108 3 1——
109 3 1——
110 3 1——
111 3 1——
112 3 1——
113 3 1——
114 3 1——
115 3 1——
116 3 1——
117 3 1——
118 3 1——
119 3 1——
120 3 1——
121 3 1——
122 3 1——
123 3 1——
124 3 1——
125 3 1——
126 3 1——
127 3 1——
128 3 1——
129 3 1——
130 3 1——
131 3 1——
132 3 1——
133 3 1——
134 3 1——
135 3 1——
136 3 1——
137 3 1——
138 3 1——
139 3 1——
140 3 1——
141 3 1——
142 3 1——
143 3 1——
144 3 1——
145 3 1——
146 3 1——
147 3 1——
148 3 1——
149 3 1——
150 3 1——
151 3 1——
152 3 1——
153 3 1——
154 3 1——
155 3 1——
156 3 1——
157 3 1——
158 3 1——
159 3 1——
160 3 1——
161 3 1——
162 3 1——
163 3 1——
164 3 1——
165 3 1——
166 3 1——
167 3 1——
168 3 1——
169 3 1——
170 3 1——
171 3 1——
172 3 1——
173 3 1——
174 3 1——
175 3 1——
176 3 1——
177 3 1——
178 3 1——
179 3 1——
180 3 1——
181 3 1——
182 3 1——
183 3 1——
184 3 1——
185 3 1——
186 3 1——
187 3 1——
188 3 1——
189 3 1——
190 3 1——
191 3 1——
192 3 1——
193 3 1——
194 3 1——
195 3 1——
196 3 1——
197 3 1——
198 3 1——
199 3 1——
200 3 1——
201 3 1——
202 3 1——
203 3 1——
204 3 1——
205 3 1——
206 3 1——
207 3 1——
208 3 1——
209 3 1——
210 3 1——
211 3 1——
212 3 1——
213 3 1——
214 3 1——
215 3 1——
216 3 1——
217 3 1——
218 3 1——
219 3 1——
220 3 1——
221 3 1——
222 3 1——
223 3 1——
224 3 1——
225 3 1——
226 3 1——
227 3 1——
228 3 1——
229 3 1——
230 3 1——
231 3 1——
232 3 1——
233 3 1——
234 3 1——
235 3 1——
236 3 1——
237 3 1——
238 3 1——
239 3 1——
240 3 1——
241 3 1——
242 3 1——
243 3 1——
244 3 1——
245 3 1——
246 3 1——
247 3 1——
248 3 1——
249 3 1——
250 3 1——
251 3 1——
252 3 1——
253 3 1——
254 3 1——
255 3 1——
256 3 1——
257 3 1——
258 3 1——
259 3 1——
260 3 1——
261 3 1——
262 3 1——
263 3 1——
264 3 1——
265 3 1——
266 3 1——
267 3 1——
268 3 1——
269 3 1——
270 3 1——
271 3 1——
272 3 1——
273 3 1——
274 3 1——
275 3 1——
276 3 1——
277 3 1——
278 3 1——
279 3 1——
280 3 1——
281 3 1——
282 3 1——
283 3 1——
284 3 1——
285 3 1——
286 3 1——
287 3 1——
288 3 1——
289 3 1——
290 3 1——
291 3 1——
292 3 1——
293 3 1——
294 3 1——
295 3 1——
296 3 1——
297 3 1——
298 3 1——
299 3 1——
300 3 1——
301 3 1——
302 3 1——
303 3 1——
304 3 1——
305 3 1——
306 3 1——
307 3 1——
308 3 1——
309 3 1——
310 3 1——
311 3 1——
312 3 1——
313 3 1——
314 3 1——
315 3 1——
316 3 1——
317 3 1——
318 3 1——
319 3 1——
320 3 1——
321 3 1——
322 3 1——
323 3 1——
324 3 1——
325 3 1——
326 3 1——
327 3 1——
328 3 1——
329 3 1——
330 3 1——
331 3 1——
332 3 1——
333 3 1——
334 3 1——
335 3 1——
336 3 1——
337 3 1——
338 3 1——
339 3 1——
340 3 1——
341 3 1——
342 3 1——
343 3 1——
344 3 1——
345 3 1——
346 3 1——
347 3 1——
348 3 1——
349 3 1——
350 3 1——
351 3 1——
352 3 1——
353 3 1——
354 3 1——
355 3 1——
356 3 1——
357 3 1——
358 3 1——
359 3 1——
360 3 1——
361 3 1——
362 3 1——
363 3 1——
364 3 1——
365 3 1——
366 3 1——
367 3 1——
368 3 1——
369 3 1——
370 3 1——
371 3 1——
372 3 1——
373 3 1——
374 3 1——
375 3 1——
376 3 1——
377 3 1——
378 3 1——
379 3 1——
380 3 1——
381 3 1——
382 3 1——
383 3 1——

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the RCSR archive key, the canonical key the archive states, by mofpp.embedding 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--fullUnitCell wrapper:2 embedding:1, 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 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 RCSR archive key, the canonical key the archive states

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 (rcsr-archive-key)
Im-3m (No. 229)
Transitivity p, q (rcsr-archive-key)
4, 10 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 (rcsr-archive-key)
48
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
dnu-a
Computed Systre key (rcsr-archive-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 8 0 0 0 4 9 0 0 0 4 11 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 17 0 0 0 8 18 0 0 0 9 17 0 0 0 9 19 0 0 0 10 20 0 0 0 10 21 0 0 0 11 22 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 33 0 0 0 18 34 0 0 0 19 35 0 0 0 19 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 38 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 41 0 0 0 23 42 0 0 0 24 29 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 26 39 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 29 50 0 0 0 29 51 0 0 0 30 48 0 0 0 30 52 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 60 0 0 0 36 61 0 0 0 37 53 0 0 0 37 62 0 0 0 37 63 0 0 0 38 64 0 0 0 39 65 0 0 0 40 58 0 0 0 40 66 0 0 0 41 67 0 0 0 42 61 0 0 0 42 68 0 0 0 42 69 0 0 0 43 50 0 0 0 43 70 0 0 0 43 71 0 0 0 44 51 0 0 0 44 70 0 0 0 44 72 0 0 0 45 73 0 0 0 45 74 0 0 0 46 65 0 0 0 46 75 0 0 0 47 76 0 0 0 47 77 0 0 0 48 77 0 0 0 49 78 0 0 0 49 79 0 0 0 50 80 0 0 0 50 81 0 0 0 51 81 0 0 0 51 82 0 0 0 52 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 86 0 0 0 54 87 0 0 0 55 87 0 0 0 55 88 0 0 0 56 86 0 0 0 56 89 0 0 0 56 90 0 0 0 57 91 0 0 0 58 92 0 0 0 59 88 0 0 0 59 93 0 0 0 60 94 0 0 0 61 95 0 0 0 61 96 0 0 0 62 84 0 0 0 62 97 0 0 0 62 98 0 0 0 63 85 0 0 0 63 97 0 0 0 63 99 0 0 0 64 100 0 0 0 64 101 0 0 0 65 102 0 0 0 66 92 0 0 0 66 103 0 0 0 67 104 0 0 0 67 105 0 0 0 68 95 0 0 0 68 106 0 0 0 68 107 0 0 0 69 96 0 0 0 69 107 0 0 0 69 108 0 0 0 70 81 0 0 0 70 109 0 0 0 71 110 0 0 0 71 111 0 0 0 72 103 0 0 0 72 112 0 0 0 73 111 0 0 0 73 113 0 0 0 74 113 0 0 0 74 114 0 0 0 75 108 0 0 0 75 115 0 0 0 76 116 0 0 0 76 117 0 0 0 77 118 0 0 0 78 94 1 0 0 78 119 0 0 0 79 94 1 0 0 79 120 0 0 0 80 120 0 0 0 80 121 0 0 0 81 122 0 0 0 82 123 0 0 0 82 124 0 0 0 83 104 0 1 0 83 105 0 1 0 84 125 0 0 0 84 126 0 0 0 85 126 0 0 0 85 127 0 0 0 86 128 0 0 0 86 129 0 0 0 87 113 0 0 1 88 130 0 0 0 89 117 0 0 0 89 128 0 0 0 89 131 0 0 0 90 129 0 0 0 90 131 0 0 0 90 132 0 0 0 91 100 1 -1 1 91 101 1 -1 1 92 124 0 0 0 93 130 0 0 0 93 133 0 0 0 95 134 0 0 0 95 135 0 0 0 96 135 0 0 0 96 136 0 0 0 97 126 0 0 0 97 137 0 0 0 98 138 0 0 0 98 139 0 0 0 99 133 0 0 0 99 140 0 0 0 100 139 0 0 0 101 141 0 0 0 102 136 0 0 0 102 142 0 0 0 103 143 0 0 0 104 144 0 0 0 105 145 0 0 0 106 144 0 0 0 106 146 0 0 0 107 135 0 0 0 107 147 0 0 0 108 148 0 0 0 109 149 0 0 0 109 150 0 0 0 110 151 0 0 0 110 152 0 0 0 111 152 0 0 0 112 143 0 0 0 112 153 0 0 0 114 154 0 0 0 114 155 0 0 0 115 148 0 0 0 115 156 0 0 0 116 137 1 -1 1 116 157 0 0 0 117 137 1 -1 1 118 149 0 0 1 118 150 0 0 1 119 134 1 0 0 119 158 0 0 0 120 159 0 0 0 121 159 0 0 0 121 160 0 0 0 122 136 1 0 0 122 142 1 0 0 123 135 1 0 0 123 161 0 0 0 124 161 0 0 0 125 145 0 1 0 125 162 0 0 0 126 148 0 1 0 127 147 0 1 0 127 163 0 0 0 128 150 0 0 1 128 153 0 0 1 129 153 0 0 1 129 154 0 0 1 130 163 0 0 0 131 140 1 -1 1 131 153 0 0 1 132 141 1 -1 1 132 164 0 0 0 133 165 0 0 0 134 166 0 0 0 138 167 0 0 0 138 168 0 0 0 139 168 0 0 0 140 165 0 0 0 141 169 0 0 0 142 170 0 0 0 143 171 0 0 0 144 172 0 0 0 145 173 0 0 0 146 172 0 0 0 146 174 0 0 0 147 175 0 0 0 149 176 0 0 0 151 160 0 0 0 151 167 0 0 0 151 174 0 1 -1 152 177 0 0 0 154 178 0 0 0 155 178 0 0 0 155 179 0 0 0 156 157 -1 0 -1 156 179 0 0 0 157 180 0 0 0 158 166 1 0 0 158 180 0 0 0 159 181 0 0 0 160 182 0 0 0 160 183 0 0 0 161 184 0 0 0 162 173 0 1 0 162 183 0 0 0 163 175 0 1 0 164 169 1 -1 1 164 182 0 -1 1 165 185 0 0 0 166 186 0 0 0 167 183 0 0 0 167 186 0 1 -1 168 187 0 0 0 169 188 0 0 0 170 176 -1 0 0 170 188 0 0 0 171 185 1 -1 0 171 189 0 0 0 172 190 0 0 0 173 189 0 0 0 174 182 0 -1 1 174 186 0 0 0 175 191 0 0 0 176 190 0 1 -1 177 187 0 0 0 177 191 0 1 -1 178 192 0 0 0 179 180 -1 0 -1 181 185 1 0 0 181 189 0 1 0 182 192 0 1 0 183 192 0 1 0 184 187 1 -1 1 184 191 1 0 0 186 192 0 0 1 188 190 -1 1 -1
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
401
Computed by (symmetry, rcsr-archive-key)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

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

TD10, exact (rcsr-archive-key)
400.5
Genus (rcsr-archive-key)
121
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

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

Net point symbol (rcsr-archive-key)
(4.8.10)2(4.8^2)(4^3.8^2.10)
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, 6, 7, 8, 16, 23, 28, 36, 41, 42, 43, 49, 50, 52, 55, 60, 61, 62, 67, 68, 69, 80, 83, 84, 85, 88, 89, 94, 95, 96, 106, 125, 127, 128, 130, 134, 150, 152, 159, 166, 173, 181, 182, 185, 1914.4.4.8.8.10(2) 4.4.4.8.8.12(2) 4^3.8^2.10 4 8 13 20 29 40 52 66 83 100
4, 5, 9, 10, 11, 14, 15, 17, 18, 19, 22, 30, 31, 32, 35, 53, 70, 71, 79, 81, 97, 98, 105, 107, 108, 109, 111, 116, 120, 121, 122, 124, 126, 131, 133, 135, 136, 137, 139, 145, 146, 147, 149, 153, 161, 163, 165, 1774.8.8 4.8.8 4.8^2 3 6 12 19 27 38 50 66 85 102
12, 13, 20, 21, 24, 27, 29, 33, 34, 37, 40, 51, 54, 56, 59, 74, 75, 86, 101, 102, 110, 113, 114, 115, 117, 118, 119, 123, 132, 138, 140, 141, 142, 143, 144, 148, 151, 154, 157, 158, 160, 162, 164, 167, 168, 171, 172, 1744.8.10 4.8.12 4.8.10 3 5 9 16 24 34 48 65 84 102
25, 26, 38, 39, 44, 45, 46, 47, 48, 57, 58, 63, 64, 65, 66, 72, 73, 76, 77, 78, 82, 87, 90, 91, 92, 93, 99, 100, 103, 104, 112, 129, 155, 156, 169, 170, 175, 176, 178, 179, 180, 183, 184, 186, 187, 188, 189, 1904.8.10 4.8.12(2) 4.8.10 3 5 8 13 22 35 49 65 83 102

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
dnu-a
Retrieved
not recorded
Licence
© 2019 RCSR.net — verified from © 2019 RCSR.net. Redistributed by MOF++ under a private agreement with the rights holder. This permits redistribution by MOF++; it grants the reader no onward licence. Confirmed by the repository owner, 2026-09-09..
Published
yes

Position in the collection

RCSR index
521 (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
2618 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.