Net topology

lng-a

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

JSON · mfpx

96 vertices and 216 edges in the unit cell. 36 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
P213 (No. 198)
Cell lengths
a = 6.6807 Å, b = 6.6807 Å, c = 6.6807 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
96
Transitivity pqrs
8, 18, *, *
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 6 0 0 0 3 8 0 0 0 3 9 0 0 0 4 6 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 5 13 0 0 0 6 8 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 12 0 0 0 11 13 0 0 0 11 25 0 0 0 12 13 0 0 0 12 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 17 0 0 0 15 31 0 0 0 16 17 0 0 0 16 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 20 0 0 0 19 21 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 24 0 0 0 22 40 0 0 0 23 24 0 0 0 23 41 0 0 0 24 42 0 0 0 25 37 0 0 0 25 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 46 0 0 0 26 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 31 1 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 29 0 0 0 28 30 0 0 0 28 53 0 0 0 29 30 0 0 0 29 54 0 0 0 30 55 0 0 0 31 50 -1 0 0 31 52 -1 0 0 31 56 0 0 0 32 38 0 0 0 32 57 0 0 0 32 58 0 0 0 32 59 0 0 0 33 40 0 0 0 33 54 -1 0 0 33 60 0 0 0 33 61 0 0 0 34 35 0 0 0 34 36 0 0 0 34 59 0 0 0 35 36 0 0 0 35 62 0 0 0 36 46 0 1 0 37 42 0 0 1 37 43 0 0 0 37 45 0 0 0 38 57 0 0 0 38 59 0 0 0 38 63 0 0 0 39 55 0 0 1 39 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 60 0 0 0 40 61 0 0 0 40 67 0 0 0 41 62 0 -1 0 41 68 0 0 0 41 69 0 0 0 41 70 0 0 0 42 43 0 0 -1 42 44 0 0 -1 42 45 0 0 -1 43 44 0 0 0 43 71 0 0 0 44 45 0 0 0 44 72 0 0 0 45 73 0 0 0 46 47 0 0 0 46 48 0 0 0 46 53 0 -1 0 47 49 0 0 0 47 53 0 -1 0 47 74 0 0 0 48 49 0 0 0 48 53 0 -1 0 48 75 0 0 0 49 53 0 -1 0 49 76 0 0 0 50 51 0 0 0 50 56 1 0 0 50 77 0 0 0 51 52 0 0 0 51 56 1 0 0 51 78 0 0 0 52 56 1 0 0 52 79 0 0 0 54 60 1 0 0 54 61 1 0 0 54 67 1 0 0 55 64 0 0 -1 55 65 0 0 -1 55 80 0 0 0 56 81 0 0 0 57 58 0 0 0 57 63 0 0 0 57 82 0 0 0 58 59 0 0 0 58 63 0 0 0 58 83 0 0 0 59 63 0 0 0 60 67 0 0 0 60 84 0 0 0 61 67 0 0 0 61 85 0 0 0 62 68 0 1 0 62 70 0 1 0 62 86 0 0 0 63 87 0 0 0 64 66 0 0 0 64 80 0 0 1 64 88 0 0 0 65 66 0 0 0 65 80 0 0 1 65 89 0 0 0 66 80 0 0 1 66 90 0 0 0 67 91 0 0 0 68 69 0 0 0 68 86 0 -1 0 68 92 0 0 0 69 70 0 0 0 69 86 0 -1 0 69 93 0 0 0 70 86 0 -1 0 70 94 0 0 0 71 81 0 0 0 71 87 0 -1 0 71 93 0 0 1 72 75 0 0 1 72 88 0 -1 0 72 94 0 0 1 73 77 0 0 0 73 89 0 0 0 73 91 1 0 1 74 78 0 0 0 74 83 1 -1 0 74 90 0 -1 0 75 88 0 -1 -1 75 94 0 0 0 76 79 0 0 0 76 84 1 0 0 76 92 1 0 0 77 89 0 0 0 77 91 1 0 1 78 83 1 -1 0 78 90 0 -1 0 79 84 1 0 0 79 92 1 0 0 80 95 0 0 0 81 87 0 -1 0 81 93 0 0 1 82 85 0 0 1 82 95 -1 0 1 82 96 0 0 0 83 90 -1 0 0 84 92 0 0 0 85 95 -1 0 0 85 96 0 0 -1 86 96 0 0 -1 87 93 0 1 1 88 94 0 1 1 89 91 1 0 1 95 96 1 0 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
e36fac42898cd61840407daad2cd2134 (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: 96 of 96 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. 96 of 96 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 P213, 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 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
1 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
2 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
3 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
4 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
5 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
6 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
7 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
8 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
9 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
10 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
11 4 13.3.3.8.8(2).9(3)4 7 17 25 38 63 94 110 130 173
12 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
13 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
14 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
15 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
16 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
17 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
18 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
19 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
20 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
21 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
22 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
23 4 13.3.3.8(2).9(2).9(2)4 7 17 26 38 62 88 118 134 167
24 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
25 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
26 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
27 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
28 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
29 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
30 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
31 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
32 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
33 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
34 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
35 4 13.3.3.8.8.9(2)4 7 17 26 38 61 90 116 126 180
36 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
37 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
38 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
39 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
40 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
41 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
42 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
43 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
44 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
45 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
46 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
47 4 13.3.3.8.9.94 7 17 27 38 60 87 121 132 171
48 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
49 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
50 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
51 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
52 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
53 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
54 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
55 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
56 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
57 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
58 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
59 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 50 65 80 114 148 188
60 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
61 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
62 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
63 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
64 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
65 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
66 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
67 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
68 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
69 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
70 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
71 5 13.3.3.3.4(3).4(3).8.8.9.95 8 16 25 47 66 83 109 151 186
72 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
73 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
74 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
75 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
76 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
77 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
78 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
79 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
80 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
81 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
82 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
83 5 13.3.3.3.4(3).4(3).8.9.9.10(3)5 8 16 26 51 62 78 118 156 184
84 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
85 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
86 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
87 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
88 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
89 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
90 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
91 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
92 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
93 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
94 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189
95 5 13.3.3.3.4(3).4(3).8.8.8.9(2)5 8 16 24 46 69 84 106 143 189

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)
P213 (No. 198)
Transitivity p, q (mofplus-deposit)
8, 18 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)
12
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
lng-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 6 0 0 0 3 8 0 0 0 3 9 0 0 0 4 6 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 5 13 0 0 0 6 8 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 12 0 0 0 11 13 0 0 0 11 25 0 0 0 12 13 0 0 0 12 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 17 0 0 0 15 31 0 0 0 16 17 0 0 0 16 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 20 0 0 0 19 21 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 24 0 0 0 22 40 0 0 0 23 24 0 0 0 23 41 0 0 0 24 42 0 0 0 25 37 0 0 0 25 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 46 0 0 0 26 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 31 1 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 29 0 0 0 28 30 0 0 0 28 53 0 0 0 29 30 0 0 0 29 54 0 0 0 30 55 0 0 0 31 50 -1 0 0 31 52 -1 0 0 31 56 0 0 0 32 38 0 0 0 32 57 0 0 0 32 58 0 0 0 32 59 0 0 0 33 40 0 0 0 33 54 -1 0 0 33 60 0 0 0 33 61 0 0 0 34 35 0 0 0 34 36 0 0 0 34 59 0 0 0 35 36 0 0 0 35 62 0 0 0 36 46 0 1 0 37 42 0 0 1 37 43 0 0 0 37 45 0 0 0 38 57 0 0 0 38 59 0 0 0 38 63 0 0 0 39 55 0 0 1 39 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 60 0 0 0 40 61 0 0 0 40 67 0 0 0 41 62 0 -1 0 41 68 0 0 0 41 69 0 0 0 41 70 0 0 0 42 43 0 0 -1 42 44 0 0 -1 42 45 0 0 -1 43 44 0 0 0 43 71 0 0 0 44 45 0 0 0 44 72 0 0 0 45 73 0 0 0 46 47 0 0 0 46 48 0 0 0 46 53 0 -1 0 47 49 0 0 0 47 53 0 -1 0 47 74 0 0 0 48 49 0 0 0 48 53 0 -1 0 48 75 0 0 0 49 53 0 -1 0 49 76 0 0 0 50 51 0 0 0 50 56 1 0 0 50 77 0 0 0 51 52 0 0 0 51 56 1 0 0 51 78 0 0 0 52 56 1 0 0 52 79 0 0 0 54 60 1 0 0 54 61 1 0 0 54 67 1 0 0 55 64 0 0 -1 55 65 0 0 -1 55 80 0 0 0 56 81 0 0 0 57 58 0 0 0 57 63 0 0 0 57 82 0 0 0 58 59 0 0 0 58 63 0 0 0 58 83 0 0 0 59 63 0 0 0 60 67 0 0 0 60 84 0 0 0 61 67 0 0 0 61 85 0 0 0 62 68 0 1 0 62 70 0 1 0 62 86 0 0 0 63 87 0 0 0 64 66 0 0 0 64 80 0 0 1 64 88 0 0 0 65 66 0 0 0 65 80 0 0 1 65 89 0 0 0 66 80 0 0 1 66 90 0 0 0 67 91 0 0 0 68 69 0 0 0 68 86 0 -1 0 68 92 0 0 0 69 70 0 0 0 69 86 0 -1 0 69 93 0 0 0 70 86 0 -1 0 70 94 0 0 0 71 81 0 0 0 71 87 0 -1 0 71 93 0 0 1 72 75 0 0 1 72 88 0 -1 0 72 94 0 0 1 73 77 0 0 0 73 89 0 0 0 73 91 1 0 1 74 78 0 0 0 74 83 1 -1 0 74 90 0 -1 0 75 88 0 -1 -1 75 94 0 0 0 76 79 0 0 0 76 84 1 0 0 76 92 1 0 0 77 89 0 0 0 77 91 1 0 1 78 83 1 -1 0 78 90 0 -1 0 79 84 1 0 0 79 92 1 0 0 80 95 0 0 0 81 87 0 -1 0 81 93 0 0 1 82 85 0 0 1 82 95 -1 0 1 82 96 0 0 0 83 90 -1 0 0 84 92 0 0 0 85 95 -1 0 0 85 96 0 0 -1 86 96 0 0 -1 87 93 0 1 1 88 94 0 1 1 89 91 1 0 1 95 96 1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
681
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)
681.0
Genus (mofplus-deposit)
121
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)
681.0
Genus (rcsr-archive-key)
121
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)
(3^3.8.9^2)2(3^3.8^2.9)2(3^4.4^2.8.9^2.10)(3^4.4^2.8^2.9^2)2(3^4.4^2.8^3.9)
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, 113.3.3.8.8(2).9(3) 3.3.3.8.8(2).12(3) 3^3.8^2.9 4 7 17 25 38 63 94 110 130 173
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 233.3.3.8(2).9(2).9(2) 3.3.3.8(2).12(2).12(4) 3^3.8.9^2 4 7 17 26 38 62 88 118 134 167
24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 353.3.3.8.8.9(2) 3.3.3.8.8.12(2) 3^3.8^2.9 4 7 17 26 38 61 90 116 126 180
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.3.3.8.9.9 3.3.3.8.12(3).12(4) 3^3.8.9^2 4 7 17 27 38 60 87 121 132 171
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 593.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 25 50 65 80 114 148 188
60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 713.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 25 47 66 83 109 151 186
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 833.3.3.3.4(3).4(3).8.9.9.10(3) 3.3.3.3.4.4.8.12.12(3).12(3) 3^4.4^2.8.9^2.10 5 8 16 26 51 62 78 118 156 184
84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 953.3.3.3.4(3).4(3).8.8.8.9(2) 3.3.3.3.4.4.8.8.8.12 3^4.4^2.8^3.9 5 8 16 24 46 69 84 106 143 189

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

Net point symbol (rcsr-archive-key)
(3^3.8.9^2)2(3^3.8^2.9)2(3^4.4^2.8.9^2.10)(3^4.4^2.8^2.9^2)2(3^4.4^2.8^3.9)
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, 3, 5, 30, 38, 49, 55, 61, 63, 65, 67, 853.3.3.3.4(3).4(3).8.9.9.10(3) 3.3.3.3.4.4.8.12.12(3).12(3) 3^4.4^2.8.9^2.10 5 8 16 26 51 62 78 118 156 184
1, 2, 7, 26, 40, 50, 51, 54, 64, 68, 69, 793.3.3.3.4(3).4(3).8.8.8.9(2) 3.3.3.3.4.4.8.8.8.12 3^4.4^2.8^3.9 5 8 16 24 46 69 84 106 143 189
4, 9, 13, 14, 20, 34, 76, 80, 87, 89, 91, 953.3.3.8.9.9 3.3.3.8.12(3).12(4) 3^3.8.9^2 4 7 17 27 38 60 87 121 132 171
6, 8, 12, 17, 22, 29, 77, 78, 88, 92, 93, 943.3.3.8.8(2).9(3) 3.3.3.8.8(2).12(3) 3^3.8^2.9 4 7 17 25 38 63 94 110 130 173
10, 16, 18, 21, 27, 35, 72, 74, 81, 82, 83, 863.3.3.8.8.9(2) 3.3.3.8.8.12(2) 3^3.8^2.9 4 7 17 26 38 61 90 116 126 180
11, 15, 19, 23, 28, 33, 70, 71, 73, 75, 84, 903.3.3.8(2).9(2).9(2) 3.3.3.8(2).12(2).12(4) 3^3.8.9^2 4 7 17 26 38 62 88 118 134 167
24, 32, 36, 39, 44, 45, 47, 52, 56, 57, 59, 623.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 25 47 66 83 109 151 186
25, 31, 37, 41, 42, 43, 46, 48, 53, 58, 60, 663.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 25 50 65 80 114 148 188

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 96 of 96 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 96 of 96 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
lng-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
1217 (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
2172 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.