Net topology

odg

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

JSON · mfpx

119 vertices and 238 edges in the unit cell. 75 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
P-43m (No. 215)
Cell lengths
a = 5.8883 Å, b = 5.8883 Å, c = 5.8883 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
119
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 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 22 0 0 0 19 44 0 0 0 19 45 0 0 0 20 46 0 0 0 20 47 0 0 0 21 23 0 0 0 21 48 0 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 52 0 0 0 23 53 0 0 0 24 26 0 0 0 24 43 0 0 0 24 54 0 0 0 25 28 0 0 0 25 45 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 58 0 0 0 27 59 0 0 0 27 60 0 0 0 28 61 0 0 0 28 62 0 0 0 29 60 0 0 0 29 63 0 0 0 29 64 0 0 0 30 32 0 0 0 30 47 0 0 0 30 64 1 0 0 31 34 0 0 0 31 49 0 0 0 31 65 0 0 0 32 56 0 0 0 32 66 0 0 0 33 67 0 0 0 33 68 0 0 0 33 69 0 0 0 34 70 0 0 0 34 71 0 0 0 35 54 0 1 0 35 69 0 0 0 35 72 0 0 0 36 38 0 0 0 36 51 0 0 0 36 59 0 0 1 37 40 0 0 0 37 53 0 0 0 37 68 0 0 1 38 61 0 0 0 38 73 0 0 0 39 65 -1 0 0 39 74 0 0 0 39 75 0 0 0 40 70 0 0 0 40 76 0 0 0 41 55 0 1 0 41 75 0 0 0 41 77 0 0 0 42 71 0 -1 0 42 78 0 0 0 42 79 0 0 0 43 72 0 -1 0 43 80 0 0 0 44 76 0 -1 0 44 79 0 0 0 44 81 0 0 0 45 77 0 -1 0 45 82 0 0 0 46 62 1 0 0 46 78 0 0 0 46 83 0 0 0 47 63 1 0 0 47 80 0 0 0 48 73 1 0 0 48 83 0 0 0 48 84 0 0 0 49 74 1 0 0 49 85 0 0 0 50 57 0 0 1 50 81 0 0 0 50 86 0 0 0 51 58 0 0 1 51 82 0 0 0 52 66 0 0 1 52 84 0 0 0 52 86 0 0 0 53 67 0 0 1 53 85 0 0 0 54 55 0 0 0 54 87 0 0 0 55 88 0 0 0 56 80 0 0 0 56 86 0 0 -1 57 58 0 0 0 57 87 0 0 0 58 89 0 0 0 59 68 0 0 0 59 90 0 0 0 60 91 0 0 0 60 92 0 0 0 61 82 0 0 0 61 83 -1 0 0 62 63 0 0 0 62 88 0 0 0 63 93 0 0 0 64 65 -1 0 0 64 94 0 0 0 65 95 0 0 0 66 67 0 0 0 66 94 1 0 0 67 96 0 0 0 68 97 0 0 0 69 98 0 0 0 69 99 0 0 0 70 79 0 1 0 70 85 0 0 0 71 72 0 0 0 71 95 0 0 0 72 100 0 0 0 73 74 0 0 0 73 90 0 0 1 74 101 0 0 0 75 102 0 0 0 75 103 0 0 0 76 77 0 0 0 76 97 0 0 1 77 104 0 0 0 78 103 1 -1 0 78 105 0 0 0 79 106 0 0 0 80 107 0 0 0 81 99 0 -1 1 81 108 0 0 0 82 109 0 0 0 83 110 0 0 0 84 92 1 0 1 84 111 0 0 0 85 112 0 0 0 86 113 0 0 0 87 99 0 -1 0 87 114 0 0 0 88 103 0 -1 0 88 115 0 0 0 89 91 0 0 0 89 109 0 0 -1 89 114 0 0 0 90 92 0 0 0 90 116 0 0 0 91 93 0 0 0 91 111 -1 0 -1 92 94 0 0 0 93 107 -1 0 0 93 115 0 0 0 94 117 0 0 0 95 103 1 0 0 95 118 0 0 0 96 98 0 0 0 96 112 0 0 -1 96 117 1 0 0 97 99 0 0 0 97 119 0 0 0 98 100 0 0 0 98 108 0 1 -1 100 107 0 1 0 100 118 0 0 0 101 102 0 0 0 101 112 -1 0 0 101 116 0 0 1 102 104 0 0 0 102 105 -1 1 0 104 109 0 1 0 104 119 0 0 1 105 106 0 0 0 105 110 0 0 0 106 108 0 0 0 106 112 0 -1 0 107 113 0 0 -1 108 113 0 0 0 109 110 -1 0 0 110 111 0 0 0 111 113 0 0 0 114 115 0 0 0 114 119 0 -1 0 115 118 -1 -1 0 116 117 0 0 0 116 119 0 0 0 117 118 -1 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
5d5efdf19b4dbfe4c1a2fc40f235cdf0 (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: 119 of 119 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. 119 of 119 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 P-43m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
1 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
2 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
3 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
4 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
5 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
6 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
7 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
8 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
9 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
10 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
11 4 m5.5.5.5.5.54 12 24 40 68 102 134 173 220 278
12 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
13 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
14 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
15 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
16 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
17 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
18 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
19 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
20 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
21 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
22 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
23 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
24 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
25 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
26 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
27 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
28 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
29 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
30 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
31 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
32 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
33 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
34 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
35 4 15.5.5.5.5.54 12 24 40 65 99 138 174 221 272
36 4 3m5.5.5.5.5.54 12 24 39 69 102 123 165 228 303
37 4 3m5.5.5.5.5.54 12 24 39 69 102 123 165 228 303
38 4 3m5.5.5.5.5.54 12 24 39 69 102 123 165 228 303
39 4 3m5.5.5.5.5.54 12 24 39 69 102 123 165 228 303
40 4 3m5.5.5.5.5.54 12 24 42 72 111 132 165 228 279
41 4 3m5.5.5.5.5.54 12 24 42 72 111 132 165 228 279
42 4 3m5.5.5.5.5.54 12 24 42 72 111 132 165 228 279
43 4 3m5.5.5.5.5.54 12 24 42 72 111 132 165 228 279
44 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
45 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
46 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
47 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
48 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
49 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
50 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
51 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
52 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
53 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
54 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
55 4 m5.5.5.5.5.64 12 25 42 63 92 131 171 229 285
56 4 -42m5.5.5.5.5.54 12 24 36 60 96 132 168 226 260
57 4 -42m5.5.5.5.5.54 12 24 36 60 96 132 168 226 260
58 4 -42m5.5.5.5.5.54 12 24 36 60 96 132 168 226 260
59 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
60 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
61 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
62 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
63 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
64 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
65 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
66 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
67 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
68 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
69 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
70 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
71 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
72 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
73 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
74 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
75 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
76 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
77 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
78 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
79 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
80 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
81 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
82 4 15.5.5.5.6.64 12 26 45 70 100 137 183 229 279
83 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
84 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
85 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
86 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
87 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
88 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
89 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
90 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
91 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
92 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
93 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
94 4 m5.5.5.5.5.64 12 25 41 63 86 123 173 220 276
95 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
96 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
97 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
98 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
99 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
100 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
101 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
102 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
103 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
104 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
105 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
106 4 m5.5.5.5.5.54 12 24 38 62 96 129 176 217 268
107 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
108 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
109 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
110 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
111 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
112 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
113 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
114 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
115 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
116 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
117 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287
118 4 m5.5.5.5.5.64 12 25 44 72 103 139 177 217 287

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)
P-43m (No. 215)
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)
1
RCSR identification (mofplus-deposit)
odg
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 22 0 0 0 19 44 0 0 0 19 45 0 0 0 20 46 0 0 0 20 47 0 0 0 21 23 0 0 0 21 48 0 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 52 0 0 0 23 53 0 0 0 24 26 0 0 0 24 43 0 0 0 24 54 0 0 0 25 28 0 0 0 25 45 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 58 0 0 0 27 59 0 0 0 27 60 0 0 0 28 61 0 0 0 28 62 0 0 0 29 60 0 0 0 29 63 0 0 0 29 64 0 0 0 30 32 0 0 0 30 47 0 0 0 30 64 1 0 0 31 34 0 0 0 31 49 0 0 0 31 65 0 0 0 32 56 0 0 0 32 66 0 0 0 33 67 0 0 0 33 68 0 0 0 33 69 0 0 0 34 70 0 0 0 34 71 0 0 0 35 54 0 1 0 35 69 0 0 0 35 72 0 0 0 36 38 0 0 0 36 51 0 0 0 36 59 0 0 1 37 40 0 0 0 37 53 0 0 0 37 68 0 0 1 38 61 0 0 0 38 73 0 0 0 39 65 -1 0 0 39 74 0 0 0 39 75 0 0 0 40 70 0 0 0 40 76 0 0 0 41 55 0 1 0 41 75 0 0 0 41 77 0 0 0 42 71 0 -1 0 42 78 0 0 0 42 79 0 0 0 43 72 0 -1 0 43 80 0 0 0 44 76 0 -1 0 44 79 0 0 0 44 81 0 0 0 45 77 0 -1 0 45 82 0 0 0 46 62 1 0 0 46 78 0 0 0 46 83 0 0 0 47 63 1 0 0 47 80 0 0 0 48 73 1 0 0 48 83 0 0 0 48 84 0 0 0 49 74 1 0 0 49 85 0 0 0 50 57 0 0 1 50 81 0 0 0 50 86 0 0 0 51 58 0 0 1 51 82 0 0 0 52 66 0 0 1 52 84 0 0 0 52 86 0 0 0 53 67 0 0 1 53 85 0 0 0 54 55 0 0 0 54 87 0 0 0 55 88 0 0 0 56 80 0 0 0 56 86 0 0 -1 57 58 0 0 0 57 87 0 0 0 58 89 0 0 0 59 68 0 0 0 59 90 0 0 0 60 91 0 0 0 60 92 0 0 0 61 82 0 0 0 61 83 -1 0 0 62 63 0 0 0 62 88 0 0 0 63 93 0 0 0 64 65 -1 0 0 64 94 0 0 0 65 95 0 0 0 66 67 0 0 0 66 94 1 0 0 67 96 0 0 0 68 97 0 0 0 69 98 0 0 0 69 99 0 0 0 70 79 0 1 0 70 85 0 0 0 71 72 0 0 0 71 95 0 0 0 72 100 0 0 0 73 74 0 0 0 73 90 0 0 1 74 101 0 0 0 75 102 0 0 0 75 103 0 0 0 76 77 0 0 0 76 97 0 0 1 77 104 0 0 0 78 103 1 -1 0 78 105 0 0 0 79 106 0 0 0 80 107 0 0 0 81 99 0 -1 1 81 108 0 0 0 82 109 0 0 0 83 110 0 0 0 84 92 1 0 1 84 111 0 0 0 85 112 0 0 0 86 113 0 0 0 87 99 0 -1 0 87 114 0 0 0 88 103 0 -1 0 88 115 0 0 0 89 91 0 0 0 89 109 0 0 -1 89 114 0 0 0 90 92 0 0 0 90 116 0 0 0 91 93 0 0 0 91 111 -1 0 -1 92 94 0 0 0 93 107 -1 0 0 93 115 0 0 0 94 117 0 0 0 95 103 1 0 0 95 118 0 0 0 96 98 0 0 0 96 112 0 0 -1 96 117 1 0 0 97 99 0 0 0 97 119 0 0 0 98 100 0 0 0 98 108 0 1 -1 100 107 0 1 0 100 118 0 0 0 101 102 0 0 0 101 112 -1 0 0 101 116 0 0 1 102 104 0 0 0 102 105 -1 1 0 104 109 0 1 0 104 119 0 0 1 105 106 0 0 0 105 110 0 0 0 106 108 0 0 0 106 112 0 -1 0 107 113 0 0 -1 108 113 0 0 0 109 110 -1 0 0 110 111 0 0 0 111 113 0 0 0 114 115 0 0 0 114 119 0 -1 0 115 118 -1 -1 0 116 117 0 0 0 116 119 0 0 0 117 118 -1 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1057
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)
1057.1176470588234
Genus (mofplus-deposit)
120
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)
1057.1176470588234
Genus (rcsr-archive-key)
120
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)
(5^4.6^2)24(5^5.6)36(5^6)59
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 115.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 68 102 134 173 220 278
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 355.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 65 99 138 174 221 272
36, 37, 38, 395.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 69 102 123 165 228 303
40, 41, 42, 435.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 72 111 132 165 228 279
44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 555.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 63 92 131 171 229 285
56, 57, 585.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 60 96 132 168 226 260
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 825.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 70 100 137 183 229 279
83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 945.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 41 63 86 123 173 220 276
95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 1065.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 62 96 129 176 217 268
107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 1185.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 139 177 217 287

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

Net point symbol (rcsr-archive-key)
(5^4.6^2)24(5^5.6)36(5^6)59
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, 91, 98, 1025.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 72 111 132 165 228 279
1, 77, 80, 835.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 69 102 123 165 228 303
2, 3, 4, 59, 68, 74, 86, 87, 89, 93, 94, 965.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 139 177 217 287
5, 6, 7, 41, 43, 45, 47, 49, 51, 104, 107, 1105.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 63 92 131 171 229 285
8, 11, 14, 56, 61, 65, 70, 72, 75, 90, 97, 1015.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 68 102 134 173 220 278
9, 10, 12, 13, 15, 16, 26, 28, 32, 34, 38, 40, 53, 54, 58, 63, 64, 67, 113, 114, 115, 116, 117, 1185.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 70 100 137 183 229 279
17, 18, 19, 20, 21, 22, 78, 82, 85, 105, 109, 1125.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 41 63 86 123 173 220 276
23, 24, 25, 27, 29, 30, 31, 33, 35, 36, 37, 39, 57, 62, 66, 71, 73, 76, 88, 92, 95, 99, 100, 1035.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 65 99 138 174 221 272
42, 44, 46, 48, 50, 52, 55, 60, 69, 106, 108, 1115.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 62 96 129 176 217 268
79, 81, 845.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 60 96 132 168 226 260

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 119 of 119 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 119 of 119 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
odg
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
1489 (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
2221 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.