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Net topology

flg-a

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

JSON · mfpx

384 vertices and 672 edges in the unit cell. 112 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
I41/acd (No. 142)
Cell lengths
a = 8.2910, b = 8.2910, c = 16.6836
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
12, 21, *, *
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 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 47 0 0 0 28 48 0 0 0 28 49 0 0 0 29 43 0 0 0 29 50 0 0 0 29 51 0 0 0 30 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 55 0 0 0 31 56 0 0 0 31 57 0 0 0 32 33 0 0 0 32 54 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 35 61 0 0 0 36 37 0 0 0 36 62 0 0 0 37 63 0 0 0 38 64 0 0 0 38 65 0 0 0 39 66 0 0 0 39 67 0 0 0 40 41 0 0 0 40 68 0 0 0 41 69 0 0 0 42 58 0 0 0 42 68 0 0 0 42 70 0 0 0 43 71 0 0 0 43 72 0 0 0 44 45 0 0 0 44 73 0 0 0 45 74 0 0 0 46 63 0 0 0 46 70 1 0 0 46 73 0 0 0 47 75 0 0 0 47 76 0 0 0 48 75 0 0 0 48 77 0 0 0 48 78 0 0 0 49 78 0 0 0 49 79 0 0 0 49 80 0 0 0 50 81 0 0 0 50 82 0 0 0 50 83 0 0 0 51 72 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 52 87 0 0 0 53 86 0 0 0 53 88 0 0 0 53 89 0 0 0 54 88 0 0 0 54 90 0 0 0 55 91 0 0 0 55 92 0 0 0 55 93 0 0 0 56 92 0 0 0 56 94 0 0 0 56 95 0 0 0 57 95 0 0 0 57 96 0 0 0 57 97 0 0 0 58 98 0 0 0 58 99 0 0 0 59 60 0 0 0 59 100 0 0 0 60 99 0 0 0 61 101 0 0 0 61 102 0 0 0 62 103 0 0 0 62 104 0 0 0 62 105 0 0 0 63 98 1 0 0 63 106 0 0 0 64 65 0 0 0 64 107 0 0 0 65 106 0 0 0 66 67 0 0 0 66 108 0 0 0 67 109 0 0 0 68 99 0 0 0 68 110 0 0 0 69 109 0 0 0 69 111 0 0 0 69 112 0 0 0 70 110 0 0 0 70 113 0 0 0 71 114 0 0 0 71 115 0 0 0 71 116 0 0 0 72 116 0 0 0 72 117 0 0 0 73 106 0 0 0 73 110 1 0 0 74 92 0 1 0 74 93 0 1 0 74 118 0 0 0 75 119 0 0 0 75 120 0 0 0 76 120 0 0 0 76 121 0 0 0 76 122 0 0 0 77 81 0 0 0 77 97 0 0 0 78 102 0 0 1 78 107 0 0 1 79 107 0 0 1 79 122 0 0 0 79 123 0 0 0 80 84 0 0 0 80 124 0 0 0 81 97 0 0 0 82 100 0 0 1 82 115 0 0 0 82 125 0 0 0 83 100 0 0 1 83 101 0 0 1 84 124 0 0 0 85 126 0 0 0 85 127 0 0 0 85 128 0 0 0 86 126 0 0 0 86 129 0 0 0 87 94 0 0 0 87 130 0 0 0 88 131 0 0 0 88 132 0 0 0 89 91 0 0 0 89 133 0 0 0 90 127 0 0 0 90 131 0 0 0 90 134 0 0 0 91 133 0 0 0 92 135 0 0 0 93 136 0 0 0 93 137 0 0 0 94 130 0 0 0 95 138 0 0 0 95 139 0 0 0 96 137 0 0 0 96 139 0 0 0 96 140 0 0 0 98 141 0 0 0 98 142 0 0 0 99 142 0 0 0 100 143 0 0 0 101 102 0 0 0 103 144 0 0 0 103 145 0 0 0 103 146 0 0 0 104 130 0 0 0 104 145 0 0 0 104 147 0 0 0 105 147 0 0 0 105 148 0 0 0 105 149 0 0 0 106 142 1 0 0 107 150 0 0 0 108 147 -1 1 0 108 148 -1 1 0 108 151 0 0 0 109 152 0 0 0 109 153 0 0 0 110 154 0 0 0 111 152 0 0 0 111 155 0 0 0 111 156 0 0 0 112 156 0 0 0 112 157 0 0 0 112 158 0 0 0 113 114 0 0 0 113 121 -1 0 0 114 121 -1 0 0 115 143 0 0 1 115 159 0 0 0 116 143 0 0 1 116 160 0 0 0 117 157 0 0 0 117 161 0 0 0 118 137 0 1 0 118 139 0 1 0 118 162 0 0 0 119 149 0 0 0 119 163 0 0 0 120 150 0 0 1 120 164 0 0 0 122 150 0 0 1 122 165 0 0 0 123 129 0 1 1 123 135 0 1 1 124 151 0 0 1 125 134 0 0 1 125 140 0 0 0 126 166 0 0 0 126 167 0 0 0 127 167 0 0 0 127 168 0 0 0 128 169 0 0 0 128 170 0 0 0 129 135 0 0 0 131 167 0 0 0 131 171 0 0 0 132 172 0 0 0 132 173 0 0 0 133 174 0 0 0 134 140 0 0 -1 136 175 0 0 0 136 176 0 0 0 137 177 0 0 0 138 178 0 0 0 138 179 0 0 0 139 180 0 0 0 141 146 -1 0 0 141 181 0 0 0 142 182 0 0 0 143 183 0 0 0 144 173 1 0 0 144 174 1 0 0 144 184 0 0 0 145 170 0 0 0 145 184 0 0 0 146 181 1 0 0 147 178 0 0 0 148 174 1 0 0 148 175 1 0 0 149 163 0 0 0 150 185 0 0 0 151 174 0 1 0 151 184 -1 1 0 152 179 -1 1 0 152 186 0 0 0 153 176 0 1 0 153 186 0 0 0 153 187 0 0 0 154 162 -1 0 0 154 188 0 0 0 155 168 -1 1 1 155 180 -1 1 0 156 169 -1 1 1 156 189 0 0 0 157 161 0 0 0 158 172 0 1 1 158 187 0 0 0 158 189 0 0 0 159 164 -1 0 0 159 190 0 0 0 160 165 -1 0 0 160 166 -1 1 1 161 184 -1 1 1 162 188 1 0 0 163 186 1 -1 0 164 190 1 0 0 165 166 0 1 1 167 188 1 -1 -1 168 180 0 0 -1 169 170 0 0 0 171 177 0 0 -1 171 191 0 0 0 172 173 0 0 0 175 176 0 0 0 177 191 0 0 1 178 179 0 0 0 181 189 0 -1 -1 182 183 0 0 0 182 185 -1 0 0 183 185 -1 0 0 186 192 0 0 0 187 191 0 1 1 187 192 0 0 0 189 192 0 0 0 190 192 0 -1 0
(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
119ac8155db288a26e4baa6b28686139 (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 I41/acd, setting 1, 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 4 1——
97 4 1——
98 4 1——
99 4 1——
100 4 1——
101 4 1——
102 4 1——
103 4 1——
104 4 1——
105 4 1——
106 4 1——
107 4 1——
108 4 1——
109 4 1——
110 4 1——
111 4 1——
112 4 1——
113 4 1——
114 4 1——
115 4 1——
116 4 1——
117 4 1——
118 4 1——
119 4 1——
120 4 1——
121 4 1——
122 4 1——
123 4 1——
124 4 1——
125 4 1——
126 4 1——
127 4 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 4 1——
193 4 1——
194 4 1——
195 4 1——
196 4 1——
197 4 1——
198 4 1——
199 4 1——
200 4 1——
201 4 1——
202 4 1——
203 4 1——
204 4 1——
205 4 1——
206 4 1——
207 4 1——
208 4 1——
209 4 1——
210 4 1——
211 4 1——
212 4 1——
213 4 1——
214 4 1——
215 4 1——
216 4 1——
217 4 1——
218 4 1——
219 4 1——
220 4 1——
221 4 1——
222 4 1——
223 4 1——
224 4 1——
225 4 1——
226 4 1——
227 4 1——
228 4 1——
229 4 1——
230 4 1——
231 4 1——
232 4 1——
233 4 1——
234 4 1——
235 4 1——
236 4 1——
237 4 1——
238 4 1——
239 4 1——
240 4 1——
241 4 1——
242 4 1——
243 4 1——
244 4 1——
245 4 1——
246 4 1——
247 4 1——
248 4 1——
249 4 1——
250 4 1——
251 4 1——
252 4 1——
253 4 1——
254 4 1——
255 4 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)
I41/acd (No. 142) (second origin choice)
Transitivity p, q (rcsr-archive-key)
12, 21 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)
16
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
flg-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 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 47 0 0 0 28 48 0 0 0 28 49 0 0 0 29 43 0 0 0 29 50 0 0 0 29 51 0 0 0 30 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 55 0 0 0 31 56 0 0 0 31 57 0 0 0 32 33 0 0 0 32 54 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 35 61 0 0 0 36 37 0 0 0 36 62 0 0 0 37 63 0 0 0 38 64 0 0 0 38 65 0 0 0 39 66 0 0 0 39 67 0 0 0 40 41 0 0 0 40 68 0 0 0 41 69 0 0 0 42 58 0 0 0 42 68 0 0 0 42 70 0 0 0 43 71 0 0 0 43 72 0 0 0 44 45 0 0 0 44 73 0 0 0 45 74 0 0 0 46 63 0 0 0 46 70 1 0 0 46 73 0 0 0 47 75 0 0 0 47 76 0 0 0 48 75 0 0 0 48 77 0 0 0 48 78 0 0 0 49 78 0 0 0 49 79 0 0 0 49 80 0 0 0 50 81 0 0 0 50 82 0 0 0 50 83 0 0 0 51 72 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 52 87 0 0 0 53 86 0 0 0 53 88 0 0 0 53 89 0 0 0 54 88 0 0 0 54 90 0 0 0 55 91 0 0 0 55 92 0 0 0 55 93 0 0 0 56 92 0 0 0 56 94 0 0 0 56 95 0 0 0 57 95 0 0 0 57 96 0 0 0 57 97 0 0 0 58 98 0 0 0 58 99 0 0 0 59 60 0 0 0 59 100 0 0 0 60 99 0 0 0 61 101 0 0 0 61 102 0 0 0 62 103 0 0 0 62 104 0 0 0 62 105 0 0 0 63 98 1 0 0 63 106 0 0 0 64 65 0 0 0 64 107 0 0 0 65 106 0 0 0 66 67 0 0 0 66 108 0 0 0 67 109 0 0 0 68 99 0 0 0 68 110 0 0 0 69 109 0 0 0 69 111 0 0 0 69 112 0 0 0 70 110 0 0 0 70 113 0 0 0 71 114 0 0 0 71 115 0 0 0 71 116 0 0 0 72 116 0 0 0 72 117 0 0 0 73 106 0 0 0 73 110 1 0 0 74 92 0 1 0 74 93 0 1 0 74 118 0 0 0 75 119 0 0 0 75 120 0 0 0 76 120 0 0 0 76 121 0 0 0 76 122 0 0 0 77 81 0 0 0 77 97 0 0 0 78 102 0 0 1 78 107 0 0 1 79 107 0 0 1 79 122 0 0 0 79 123 0 0 0 80 84 0 0 0 80 124 0 0 0 81 97 0 0 0 82 100 0 0 1 82 115 0 0 0 82 125 0 0 0 83 100 0 0 1 83 101 0 0 1 84 124 0 0 0 85 126 0 0 0 85 127 0 0 0 85 128 0 0 0 86 126 0 0 0 86 129 0 0 0 87 94 0 0 0 87 130 0 0 0 88 131 0 0 0 88 132 0 0 0 89 91 0 0 0 89 133 0 0 0 90 127 0 0 0 90 131 0 0 0 90 134 0 0 0 91 133 0 0 0 92 135 0 0 0 93 136 0 0 0 93 137 0 0 0 94 130 0 0 0 95 138 0 0 0 95 139 0 0 0 96 137 0 0 0 96 139 0 0 0 96 140 0 0 0 98 141 0 0 0 98 142 0 0 0 99 142 0 0 0 100 143 0 0 0 101 102 0 0 0 103 144 0 0 0 103 145 0 0 0 103 146 0 0 0 104 130 0 0 0 104 145 0 0 0 104 147 0 0 0 105 147 0 0 0 105 148 0 0 0 105 149 0 0 0 106 142 1 0 0 107 150 0 0 0 108 147 -1 1 0 108 148 -1 1 0 108 151 0 0 0 109 152 0 0 0 109 153 0 0 0 110 154 0 0 0 111 152 0 0 0 111 155 0 0 0 111 156 0 0 0 112 156 0 0 0 112 157 0 0 0 112 158 0 0 0 113 114 0 0 0 113 121 -1 0 0 114 121 -1 0 0 115 143 0 0 1 115 159 0 0 0 116 143 0 0 1 116 160 0 0 0 117 157 0 0 0 117 161 0 0 0 118 137 0 1 0 118 139 0 1 0 118 162 0 0 0 119 149 0 0 0 119 163 0 0 0 120 150 0 0 1 120 164 0 0 0 122 150 0 0 1 122 165 0 0 0 123 129 0 1 1 123 135 0 1 1 124 151 0 0 1 125 134 0 0 1 125 140 0 0 0 126 166 0 0 0 126 167 0 0 0 127 167 0 0 0 127 168 0 0 0 128 169 0 0 0 128 170 0 0 0 129 135 0 0 0 131 167 0 0 0 131 171 0 0 0 132 172 0 0 0 132 173 0 0 0 133 174 0 0 0 134 140 0 0 -1 136 175 0 0 0 136 176 0 0 0 137 177 0 0 0 138 178 0 0 0 138 179 0 0 0 139 180 0 0 0 141 146 -1 0 0 141 181 0 0 0 142 182 0 0 0 143 183 0 0 0 144 173 1 0 0 144 174 1 0 0 144 184 0 0 0 145 170 0 0 0 145 184 0 0 0 146 181 1 0 0 147 178 0 0 0 148 174 1 0 0 148 175 1 0 0 149 163 0 0 0 150 185 0 0 0 151 174 0 1 0 151 184 -1 1 0 152 179 -1 1 0 152 186 0 0 0 153 176 0 1 0 153 186 0 0 0 153 187 0 0 0 154 162 -1 0 0 154 188 0 0 0 155 168 -1 1 1 155 180 -1 1 0 156 169 -1 1 1 156 189 0 0 0 157 161 0 0 0 158 172 0 1 1 158 187 0 0 0 158 189 0 0 0 159 164 -1 0 0 159 190 0 0 0 160 165 -1 0 0 160 166 -1 1 1 161 184 -1 1 1 162 188 1 0 0 163 186 1 -1 0 164 190 1 0 0 165 166 0 1 1 167 188 1 -1 -1 168 180 0 0 -1 169 170 0 0 0 171 177 0 0 -1 171 191 0 0 0 172 173 0 0 0 175 176 0 0 0 177 191 0 0 1 178 179 0 0 0 181 189 0 -1 -1 182 183 0 0 0 182 185 -1 0 0 183 185 -1 0 0 186 192 0 0 0 187 191 0 1 1 187 192 0 0 0 189 192 0 0 0 190 192 0 -1 0
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
570
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)
570.4166666666666
Genus (rcsr-archive-key)
145
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)
(3.8.9)2(3.8^2)4(4^2.6.8.10.12)(4^2.6.8^2.10)2(4^2.6.8^3)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, 34, 42, 46, 69, 84, 87, 92, 94, 99, 103, 106, 110, 141, 173, 1864.4.6(2).8.8.10(2) 4.4.6.8.8.12(2) 4^2.6.8^2.10 4 9 15 22 34 52 73 102 128 150
1, 20, 53, 56, 61, 68, 71, 73, 74, 78, 81, 97, 109, 125, 150, 1914.4.6(2).8.10.12(4) 4.4.6.8.12(2).12(2) 4^2.6.8.10.12 4 9 15 23 37 54 75 96 127 151
2, 17, 28, 45, 51, 52, 75, 82, 105, 136, 138, 143, 144, 149, 151, 1524.4.6(2).8.8.8 4.4.6.8.8.8 4^2.6.8^3 4 9 15 21 31 50 81 102 118 146
3, 19, 27, 41, 54, 55, 70, 77, 98, 126, 130, 142, 146, 147, 155, 1574.4.6(2).8.8.8 4.4.6.8.8.8 4^2.6.8^3 4 9 15 21 33 56 81 100 117 144
4, 23, 26, 58, 60, 63, 112, 127, 129, 131, 132, 135, 137, 154, 181, 1903.8.8 3.8.8 3.8^2 3 5 13 25 32 44 58 88 136 160
5, 31, 35, 38, 40, 44, 96, 116, 118, 122, 123, 124, 140, 153, 165, 1893.8.9 3.8.12(3) 3.8.9 3 5 13 26 35 46 60 86 122 158
6, 8, 29, 49, 50, 62, 72, 85, 95, 102, 108, 117, 119, 121, 183, 1854.4.6(2).8.8.8 4.4.6.8.8.8 4^2.6.8^3 4 9 15 21 32 55 78 102 117 142
7, 10, 30, 47, 48, 57, 67, 89, 91, 104, 107, 111, 114, 115, 166, 1884.4.6(2).8.8.10 4.4.6.8.8.12(2) 4^2.6.8^2.10 4 9 15 22 35 56 80 102 116 141
9, 13, 25, 33, 64, 86, 88, 100, 120, 169, 172, 175, 176, 178, 179, 1843.8.8(2) 3.8.8(2) 3.8^2 3 5 13 24 31 44 59 94 130 153
11, 12, 22, 37, 59, 90, 93, 101, 113, 167, 168, 170, 171, 174, 177, 1823.8.8(2) 3.8.8(2) 3.8^2 3 5 13 24 31 46 61 92 127 159
14, 16, 21, 36, 43, 66, 80, 83, 128, 139, 145, 160, 161, 162, 163, 1643.8.8(2) 3.8.8(2) 3.8^2 3 5 13 24 34 48 61 92 123 152
15, 18, 24, 32, 39, 65, 76, 79, 133, 134, 148, 156, 158, 159, 180, 1873.8(2).9(2) 3.8(2).12(3) 3.8.9 3 5 13 25 34 47 62 90 124 148

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
flg-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
716 (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
2676 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.