Net topology

zrc-a

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

JSON · mfpx

96 vertices and 192 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
I41/amd (No. 141)
Cell lengths
a = 7.4052 Å, b = 7.4052 Å, c = 7.1627 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
96
Transitivity pqrs
6, 12, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 3 5 0 0 0 3 9 0 0 0 3 10 0 0 0 4 6 0 0 0 4 9 0 0 0 4 11 0 0 0 4 12 0 0 0 5 6 0 0 0 5 9 0 0 0 5 12 0 0 0 5 13 0 0 0 6 12 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 12 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 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 16 0 0 0 15 29 0 0 0 16 30 0 0 0 17 18 0 0 0 17 31 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 20 21 0 0 0 20 35 0 0 0 21 36 0 0 0 22 23 0 0 0 22 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 26 0 0 0 25 41 0 0 0 26 42 0 0 0 27 28 0 0 0 27 43 0 0 0 28 44 0 0 0 29 38 0 1 0 29 42 1 0 0 29 45 0 0 0 30 32 -1 1 1 30 36 0 0 1 30 43 0 0 0 30 46 0 0 0 31 35 0 0 0 31 44 1 0 -1 31 47 0 0 0 32 37 0 0 0 32 43 1 -1 -1 32 46 1 -1 -1 32 48 0 0 0 33 34 0 0 0 33 45 0 -1 -1 34 46 0 -1 -1 35 44 1 0 -1 35 47 0 0 0 36 41 0 0 0 36 43 0 0 -1 36 46 0 0 -1 36 48 -1 1 0 37 41 1 -1 0 37 43 1 -1 -1 37 48 0 0 0 38 42 1 -1 0 38 45 0 -1 0 39 40 0 0 0 39 48 -1 0 0 40 47 -1 0 1 41 43 0 0 -1 41 48 -1 1 0 42 45 -1 0 0 44 47 -1 0 1 46 48 -1 1 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
8baf8c859f55023979028bd37ca4d83f (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 I41/amd, setting 2, 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 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
1 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
2 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
3 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
4 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
5 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
6 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
7 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
8 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
9 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
10 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
11 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
12 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
13 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
14 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
15 4 m3.3.3.8.9.94 5 8 14 32 45 60 78 96 113
16 3 m3.8.93 5 12 19 23 42 67 82 86 113
17 3 m3.8.93 5 12 19 23 42 67 82 86 113
18 3 m3.8.93 5 12 19 23 42 67 82 86 113
19 3 m3.8.93 5 12 19 23 42 67 82 86 113
20 3 m3.8.93 5 12 19 23 42 67 82 86 113
21 3 m3.8.93 5 12 19 23 42 67 82 86 113
22 3 m3.8.93 5 12 19 23 42 67 82 86 113
23 3 m3.8.93 5 12 19 23 42 67 82 86 113
24 3 m3.8.93 5 12 19 23 42 67 82 86 113
25 3 m3.8.93 5 12 19 23 42 67 82 86 113
26 3 m3.8.93 5 12 19 23 42 67 82 86 113
27 3 m3.8.93 5 12 19 23 42 67 82 86 113
28 3 m3.8.93 5 12 19 23 42 67 82 86 113
29 3 m3.8.93 5 12 19 23 42 67 82 86 113
30 3 m3.8.93 5 12 19 23 42 67 82 86 113
31 3 m3.8.93 5 12 19 23 42 67 82 86 113
32 3 m3.8.93 7 14 21 25 39 66 85 86 127
33 3 m3.8.93 7 14 21 25 39 66 85 86 127
34 3 m3.8.93 7 14 21 25 39 66 85 86 127
35 3 m3.8.93 7 14 21 25 39 66 85 86 127
36 3 m3.8.93 7 14 21 25 39 66 85 86 127
37 3 m3.8.93 7 14 21 25 39 66 85 86 127
38 3 m3.8.93 7 14 21 25 39 66 85 86 127
39 3 m3.8.93 7 14 21 25 39 66 85 86 127
40 3 m3.8.93 7 14 21 25 39 66 85 86 127
41 3 m3.8.93 7 14 21 25 39 66 85 86 127
42 3 m3.8.93 7 14 21 25 39 66 85 86 127
43 3 m3.8.93 7 14 21 25 39 66 85 86 127
44 3 m3.8.93 7 14 21 25 39 66 85 86 127
45 3 m3.8.93 7 14 21 25 39 66 85 86 127
46 3 m3.8.93 7 14 21 25 39 66 85 86 127
47 3 m3.8.93 7 14 21 25 39 66 85 86 127
48 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
49 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
50 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
51 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
52 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
53 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
54 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
55 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
56 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
57 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
58 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
59 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
60 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
61 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
62 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
63 6 m3.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.106 9 14 20 33 42 60 79 108 124
64 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
65 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
66 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
67 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
68 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
69 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
70 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
71 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
72 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
73 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
74 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
75 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
76 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
77 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
78 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
79 5 m3.3.3.3.4(2).4(3).8.8.9(2).9(2)5 9 13 20 33 46 58 80 102 118
80 3 m3.8.83 6 15 19 26 41 66 83 89 114
81 3 m3.8.83 6 15 19 26 41 66 83 89 114
82 3 m3.8.83 6 15 19 26 41 66 83 89 114
83 3 m3.8.83 6 15 19 26 41 66 83 89 114
84 3 m3.8.83 6 15 19 26 41 66 83 89 114
85 3 m3.8.83 6 15 19 26 41 66 83 89 114
86 3 m3.8.83 6 15 19 26 41 66 83 89 114
87 3 m3.8.83 6 15 19 26 41 66 83 89 114
88 3 m3.8.83 6 15 19 26 41 66 83 89 114
89 3 m3.8.83 6 15 19 26 41 66 83 89 114
90 3 m3.8.83 6 15 19 26 41 66 83 89 114
91 3 m3.8.83 6 15 19 26 41 66 83 89 114
92 3 m3.8.83 6 15 19 26 41 66 83 89 114
93 3 m3.8.83 6 15 19 26 41 66 83 89 114
94 3 m3.8.83 6 15 19 26 41 66 83 89 114
95 3 m3.8.83 6 15 19 26 41 66 83 89 114

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)
I41/amd (No. 141) (second origin choice)
Transitivity p, q (mofplus-deposit)
6, 12 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
16
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
zrc-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 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 3 5 0 0 0 3 9 0 0 0 3 10 0 0 0 4 6 0 0 0 4 9 0 0 0 4 11 0 0 0 4 12 0 0 0 5 6 0 0 0 5 9 0 0 0 5 12 0 0 0 5 13 0 0 0 6 12 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 12 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 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 16 0 0 0 15 29 0 0 0 16 30 0 0 0 17 18 0 0 0 17 31 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 20 21 0 0 0 20 35 0 0 0 21 36 0 0 0 22 23 0 0 0 22 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 26 0 0 0 25 41 0 0 0 26 42 0 0 0 27 28 0 0 0 27 43 0 0 0 28 44 0 0 0 29 38 0 1 0 29 42 1 0 0 29 45 0 0 0 30 32 -1 1 1 30 36 0 0 1 30 43 0 0 0 30 46 0 0 0 31 35 0 0 0 31 44 1 0 -1 31 47 0 0 0 32 37 0 0 0 32 43 1 -1 -1 32 46 1 -1 -1 32 48 0 0 0 33 34 0 0 0 33 45 0 -1 -1 34 46 0 -1 -1 35 44 1 0 -1 35 47 0 0 0 36 41 0 0 0 36 43 0 0 -1 36 46 0 0 -1 36 48 -1 1 0 37 41 1 -1 0 37 43 1 -1 -1 37 48 0 0 0 38 42 1 -1 0 38 45 0 -1 0 39 40 0 0 0 39 48 -1 0 0 40 47 -1 0 1 41 43 0 0 -1 41 48 -1 1 0 42 45 -1 0 0 44 47 -1 0 1 46 48 -1 1 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
471
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)
471.1666666666667
Genus (mofplus-deposit)
49
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)
471.1666666666667
Genus (rcsr-archive-key)
49
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)
(3.8.9)2(3.8^2)(3^3.8.9^2)(3^4.4^2.8^2.9^2)(3^5.4^5.8.9^2.10^2)
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 153.3.3.8.9.9 3.3.3.8.16(7).16(7) 3^3.8.9^2 4 5 8 14 32 45 60 78 96 113
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 313.8.9 3.8.16(10) 3.8.9 3 5 12 19 23 42 67 82 86 113
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.8.9 3.8.16(10) 3.8.9 3 7 14 21 25 39 66 85 86 127
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 633.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.10 3.3.3.3.3.4.4.4(2).5.5.8.16(3).16(3).16(5).16(5) 3^5.4^5.8.9^2.10^2 6 9 14 20 33 42 60 79 108 124
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 793.3.3.3.4(2).4(3).8.8.9(2).9(2) 3.3.3.3.4.5(2).8.8.16(5).16(5) 3^4.4^2.8^2.9^2 5 9 13 20 33 46 58 80 102 118
80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 953.8.8 3.8.8 3.8^2 3 6 15 19 26 41 66 83 89 114

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

Net point symbol (rcsr-archive-key)
(3.8.9)2(3.8^2)(3^3.8.9^2)(3^4.4^2.8^2.9^2)(3^5.4^5.8.9^2.10^2)
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 3, 4, 8, 31, 35, 42, 473.3.3.3.3.4.4.4(2).4(2).4(3).8.9.9.10.10 3.3.3.3.3.4.4.4(2).5.5.8.16(3).16(3).16(5).16(5) 3^5.4^5.8.9^2.10^2 6 9 14 20 33 42 60 79 108 124
1, 2, 5, 11, 29, 36, 40, 453.3.3.3.4(2).4(3).8.8.9(2).9(2) 3.3.3.3.4.5(2).8.8.16(5).16(5) 3^4.4^2.8^2.9^2 5 9 13 20 33 46 58 80 102 118
6, 10, 12, 17, 18, 20, 26, 383.8.9 3.8.16(10) 3.8.9 3 7 14 21 25 39 66 85 86 127
7, 9, 13, 15, 21, 23, 24, 333.8.8 3.8.8 3.8^2 3 6 15 19 26 41 66 83 89 114
14, 16, 19, 22, 25, 27, 32, 393.8.9 3.8.16(10) 3.8.9 3 5 12 19 23 42 67 82 86 113
28, 30, 34, 37, 41, 43, 44, 463.3.3.8.9.9 3.3.3.8.16(7).16(7) 3^3.8.9^2 4 5 8 14 32 45 60 78 96 113

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
zrc-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
2919 (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
2170 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.