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Net topology

viv-a

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

JSON · mfpx

312 vertices and 708 edges in the unit cell. 111 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
Im-3m (No. 229)
Cell lengths
a = 9.6569 Å, b = 9.6569 Å, c = 9.6569 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
312
Transitivity pqrs
8, 15, *, *
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 5 14 0 0 0 6 8 0 0 0 6 15 0 0 0 7 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 9 20 0 0 0 9 21 0 0 0 9 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 11 26 0 0 0 12 14 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 26 0 0 0 13 28 0 0 0 14 26 0 0 0 14 29 0 0 0 15 30 0 0 0 15 31 0 0 0 16 18 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 32 0 0 0 17 34 0 0 0 18 32 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 19 38 0 0 0 19 39 0 0 0 20 21 0 0 0 20 22 0 0 0 20 40 0 0 0 20 41 0 0 0 21 41 0 0 0 21 42 0 0 0 22 41 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 44 0 0 0 24 46 0 0 0 25 33 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 50 0 0 0 27 45 0 0 0 27 51 0 0 0 27 52 0 0 0 27 53 0 0 0 28 42 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 57 0 0 0 29 58 0 0 0 29 59 0 0 0 29 60 0 0 0 30 59 0 0 0 30 61 0 0 0 31 61 0 0 0 31 62 0 0 0 32 63 0 0 0 33 47 0 0 0 33 49 0 0 0 33 64 0 0 0 34 65 0 0 0 34 66 0 0 0 34 67 0 0 0 34 68 0 0 0 35 40 0 0 0 35 69 0 0 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 38 0 0 0 36 68 0 0 0 36 72 0 0 0 37 39 0 0 0 37 72 0 0 0 37 73 0 0 0 38 39 0 0 0 38 72 0 0 0 38 74 0 0 0 39 72 0 0 0 39 75 0 0 0 40 70 0 0 0 40 71 0 0 0 40 76 0 0 0 41 77 0 0 0 42 54 0 0 0 42 56 0 0 0 42 78 0 0 0 43 74 0 0 0 43 79 0 0 0 43 80 0 0 0 43 81 0 0 0 44 82 0 0 0 45 51 0 0 0 45 53 0 0 0 45 83 0 0 0 46 73 0 0 0 46 84 0 0 0 46 85 0 0 0 46 86 0 0 0 47 48 0 0 0 47 64 0 0 0 47 87 0 0 0 48 49 0 0 0 48 64 0 0 0 48 88 0 0 0 49 64 0 0 0 49 89 0 0 0 50 90 0 0 0 50 91 0 0 0 50 92 0 0 0 50 93 0 0 0 51 52 0 0 0 51 83 0 0 0 51 94 0 0 0 52 53 0 0 0 52 83 0 0 0 52 95 0 0 0 53 83 0 0 0 53 96 0 0 0 54 55 0 0 0 54 78 0 0 0 54 97 0 0 0 55 56 0 0 0 55 78 0 0 0 55 98 0 0 0 56 78 0 0 0 56 99 0 0 0 57 58 0 0 0 57 59 0 0 0 57 100 0 0 0 57 101 0 0 0 58 60 0 0 0 58 101 0 0 0 58 102 0 0 0 59 60 0 0 0 59 101 0 0 0 60 101 0 0 0 60 103 0 0 0 61 104 0 0 0 62 75 0 0 0 62 105 0 0 0 62 106 0 0 0 62 107 0 0 0 63 108 0 0 0 63 109 0 0 0 63 110 0 0 0 63 111 0 0 0 64 112 0 0 0 65 66 0 0 0 65 67 0 0 0 65 113 0 0 0 65 114 0 0 0 66 68 0 0 0 66 114 0 0 0 66 115 0 0 0 67 68 0 0 0 67 114 0 0 0 67 116 0 0 0 68 114 0 0 0 69 70 0 0 0 69 71 0 0 0 69 76 0 0 0 69 117 0 0 0 70 76 0 0 0 70 118 0 0 0 71 76 0 0 0 71 119 0 0 0 72 120 0 0 0 73 84 0 0 0 73 86 0 0 0 73 121 0 0 0 74 79 0 0 0 74 81 0 0 0 74 122 0 0 0 75 105 0 0 0 75 106 0 0 0 75 123 0 0 0 76 124 0 0 0 77 125 0 0 0 77 126 0 0 0 77 127 0 0 0 77 128 0 0 0 78 129 0 0 0 79 80 0 0 0 79 122 0 0 0 79 130 0 0 0 80 81 0 0 0 80 122 0 0 0 80 131 0 0 0 81 122 0 0 0 81 132 0 0 0 82 125 1 0 0 82 126 1 0 0 82 127 1 0 0 82 128 1 0 0 83 133 0 0 0 84 85 0 0 0 84 121 0 0 0 84 134 0 0 0 85 86 0 0 0 85 121 0 0 0 85 135 0 0 0 86 121 0 0 0 86 136 0 0 0 87 94 0 0 0 87 132 0 1 0 88 137 0 0 0 88 138 0 0 0 89 97 0 0 0 89 118 0 0 0 89 136 -1 1 0 90 91 0 0 0 90 92 0 0 0 90 120 0 0 1 90 138 0 0 0 91 93 0 0 0 91 120 0 0 1 91 139 0 0 0 92 93 0 0 0 92 120 0 0 1 92 140 0 0 0 93 120 0 0 1 93 141 0 0 0 94 142 0 0 0 95 117 1 -1 1 95 140 0 0 0 95 143 0 0 0 96 100 0 0 0 96 116 1 -1 1 96 119 1 -1 1 97 118 0 0 0 97 144 0 0 0 98 139 0 0 0 98 145 0 0 0 99 103 0 0 0 99 115 0 -1 1 100 119 1 -1 1 100 130 1 -1 1 101 146 0 0 0 102 124 1 -1 1 102 141 0 0 0 102 147 0 0 0 103 134 0 -1 1 104 108 1 -2 1 104 109 1 -2 1 104 110 1 -2 1 104 111 1 -2 1 105 107 0 0 0 105 123 0 0 0 105 144 1 -1 0 106 107 0 0 0 106 123 0 0 0 106 142 0 -1 0 107 123 0 0 0 107 148 0 0 0 108 109 0 0 0 108 110 0 0 0 108 145 0 1 -1 109 111 0 0 0 109 149 0 0 0 110 111 0 0 0 110 150 0 0 0 111 143 -1 1 -1 112 131 0 1 0 112 135 -1 1 0 112 149 0 0 0 112 151 0 0 0 113 129 0 1 -1 113 133 -1 1 -1 113 150 0 0 0 113 152 0 0 0 114 153 0 0 0 115 134 0 0 0 116 119 0 0 0 116 130 0 0 0 117 140 -1 1 -1 117 143 -1 1 -1 117 154 0 0 0 118 136 -1 1 0 118 144 0 0 0 119 130 0 0 0 121 154 1 -1 0 122 155 0 0 0 123 156 0 0 0 124 141 -1 1 -1 124 147 -1 1 -1 124 156 -1 1 0 125 126 0 0 0 125 127 0 0 0 125 147 -1 1 -1 126 128 0 0 0 126 152 0 -1 1 127 128 0 0 0 127 151 0 -1 0 128 137 0 -1 0 129 148 -1 1 0 129 150 0 -1 1 129 152 0 -1 1 131 146 -1 1 -1 131 149 0 -1 0 131 151 0 -1 0 132 142 0 -1 0 133 148 0 1 0 133 150 1 -1 1 133 152 1 -1 1 135 146 0 1 -1 135 149 1 -1 0 135 151 1 -1 0 136 144 1 -1 0 137 153 0 0 1 138 153 0 0 1 139 155 0 0 1 140 154 1 -1 1 141 156 0 0 1 143 154 1 -1 1 145 155 0 0 1 146 149 1 -2 1 146 151 1 -2 1 147 156 0 0 1 148 150 1 -2 1 148 152 1 -2 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
5378385d2e9c4e201a30c5a4e4181901 (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: 312 of 312 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. 312 of 312 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 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 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 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
1 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
2 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
3 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
4 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
5 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
6 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
7 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
8 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
9 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
10 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
11 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 32 48 56 72 100 112 176
12 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
13 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
14 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
15 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
16 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
17 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
18 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
19 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
20 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
21 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
22 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
23 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 21 33 44 64 80 96 136 161
24 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
25 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
26 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
27 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
28 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
29 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
30 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
31 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
32 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
33 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
34 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
35 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
36 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
37 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
38 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
39 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
40 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
41 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
42 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
43 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
44 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
45 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
46 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
47 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
48 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
49 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
50 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
51 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
52 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
53 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
54 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
55 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
56 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
57 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
58 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
59 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
60 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
61 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
62 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
63 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
64 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
65 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
66 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
67 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
68 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
69 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
70 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
71 4 m3.3.4(2).8.8.84 8 18 30 43 59 80 105 130 176
72 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
73 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
74 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
75 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
76 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
77 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
78 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
79 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
80 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
81 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
82 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
83 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
84 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
85 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
86 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
87 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
88 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
89 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
90 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
91 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
92 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
93 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
94 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
95 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
96 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
97 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
98 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
99 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
100 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
101 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
102 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
103 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
104 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
105 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
106 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
107 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
108 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
109 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
110 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
111 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
112 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
113 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
114 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
115 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
116 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
117 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
118 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
119 5 m3.3.3.3.4(3).4(3).8.8.8.9(2)5 8 18 29 45 64 85 105 147 180
120 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
121 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
122 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
123 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
124 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
125 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
126 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
127 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
128 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
129 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
130 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
131 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
132 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
133 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
134 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
135 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
136 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
137 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
138 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
139 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
140 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
141 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
142 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
143 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
144 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
145 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
146 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
147 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
148 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
149 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
150 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
151 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
152 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
153 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
154 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
155 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
156 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
157 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
158 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
159 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
160 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
161 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
162 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
163 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
164 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
165 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
166 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
167 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 16 31 45 61 87 121 145 181
168 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
169 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
170 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
171 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
172 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
173 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
174 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
175 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
176 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
177 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
178 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
179 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
180 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
181 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
182 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
183 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
184 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
185 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
186 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
187 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
188 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
189 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
190 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
191 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
192 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
193 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
194 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
195 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
196 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
197 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
198 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
199 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
200 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
201 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
202 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
203 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
204 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
205 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
206 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
207 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
208 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
209 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
210 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
211 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
212 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
213 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
214 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
215 5 m3.3.3.3.4(3).4(3).8.8.8.85 9 22 31 39 61 99 121 151 181
216 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
217 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
218 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
219 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
220 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
221 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
222 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
223 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
224 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
225 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
226 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
227 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
228 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
229 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
230 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
231 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
232 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
233 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
234 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
235 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
236 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
237 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
238 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
239 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
240 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
241 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
242 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
243 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
244 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
245 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
246 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
247 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
248 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
249 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
250 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
251 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
252 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
253 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
254 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
255 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
256 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
257 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
258 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
259 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
260 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
261 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
262 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
263 5 m3.3.3.3.4(3).4(3).8.8.9(2).9(2)5 7 17 27 45 64 86 110 149 181
264 3 m4.8.83 7 14 26 41 63 87 115 137 170
265 3 m4.8.83 7 14 26 41 63 87 115 137 170
266 3 m4.8.83 7 14 26 41 63 87 115 137 170
267 3 m4.8.83 7 14 26 41 63 87 115 137 170
268 3 m4.8.83 7 14 26 41 63 87 115 137 170
269 3 m4.8.83 7 14 26 41 63 87 115 137 170
270 3 m4.8.83 7 14 26 41 63 87 115 137 170
271 3 m4.8.83 7 14 26 41 63 87 115 137 170
272 3 m4.8.83 7 14 26 41 63 87 115 137 170
273 3 m4.8.83 7 14 26 41 63 87 115 137 170
274 3 m4.8.83 7 14 26 41 63 87 115 137 170
275 3 m4.8.83 7 14 26 41 63 87 115 137 170
276 3 m4.8.83 7 14 26 41 63 87 115 137 170
277 3 m4.8.83 7 14 26 41 63 87 115 137 170
278 3 m4.8.83 7 14 26 41 63 87 115 137 170
279 3 m4.8.83 7 14 26 41 63 87 115 137 170
280 3 m4.8.83 7 14 26 41 63 87 115 137 170
281 3 m4.8.83 7 14 26 41 63 87 115 137 170
282 3 m4.8.83 7 14 26 41 63 87 115 137 170
283 3 m4.8.83 7 14 26 41 63 87 115 137 170
284 3 m4.8.83 7 14 26 41 63 87 115 137 170
285 3 m4.8.83 7 14 26 41 63 87 115 137 170
286 3 m4.8.83 7 14 26 41 63 87 115 137 170
287 3 m4.8.83 7 14 26 41 63 87 115 137 170
288 3 m4.8.83 7 14 26 41 63 87 115 137 170
289 3 m4.8.83 7 14 26 41 63 87 115 137 170
290 3 m4.8.83 7 14 26 41 63 87 115 137 170
291 3 m4.8.83 7 14 26 41 63 87 115 137 170
292 3 m4.8.83 7 14 26 41 63 87 115 137 170
293 3 m4.8.83 7 14 26 41 63 87 115 137 170
294 3 m4.8.83 7 14 26 41 63 87 115 137 170
295 3 m4.8.83 7 14 26 41 63 87 115 137 170
296 3 m4.8.83 7 14 26 41 63 87 115 137 170
297 3 m4.8.83 7 14 26 41 63 87 115 137 170
298 3 m4.8.83 7 14 26 41 63 87 115 137 170
299 3 m4.8.83 7 14 26 41 63 87 115 137 170
300 3 m4.8.83 7 14 26 41 63 87 115 137 170
301 3 m4.8.83 7 14 26 41 63 87 115 137 170
302 3 m4.8.83 7 14 26 41 63 87 115 137 170
303 3 m4.8.83 7 14 26 41 63 87 115 137 170
304 3 m4.8.83 7 14 26 41 63 87 115 137 170
305 3 m4.8.83 7 14 26 41 63 87 115 137 170
306 3 m4.8.83 7 14 26 41 63 87 115 137 170
307 3 m4.8.83 7 14 26 41 63 87 115 137 170
308 3 m4.8.83 7 14 26 41 63 87 115 137 170
309 3 m4.8.83 7 14 26 41 63 87 115 137 170
310 3 m4.8.83 7 14 26 41 63 87 115 137 170
311 3 m4.8.83 7 14 26 41 63 87 115 137 170

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
8, 15 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)
48
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
viv-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 5 14 0 0 0 6 8 0 0 0 6 15 0 0 0 7 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 9 20 0 0 0 9 21 0 0 0 9 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 11 26 0 0 0 12 14 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 26 0 0 0 13 28 0 0 0 14 26 0 0 0 14 29 0 0 0 15 30 0 0 0 15 31 0 0 0 16 18 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 32 0 0 0 17 34 0 0 0 18 32 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 19 38 0 0 0 19 39 0 0 0 20 21 0 0 0 20 22 0 0 0 20 40 0 0 0 20 41 0 0 0 21 41 0 0 0 21 42 0 0 0 22 41 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 44 0 0 0 24 46 0 0 0 25 33 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 50 0 0 0 27 45 0 0 0 27 51 0 0 0 27 52 0 0 0 27 53 0 0 0 28 42 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 57 0 0 0 29 58 0 0 0 29 59 0 0 0 29 60 0 0 0 30 59 0 0 0 30 61 0 0 0 31 61 0 0 0 31 62 0 0 0 32 63 0 0 0 33 47 0 0 0 33 49 0 0 0 33 64 0 0 0 34 65 0 0 0 34 66 0 0 0 34 67 0 0 0 34 68 0 0 0 35 40 0 0 0 35 69 0 0 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 38 0 0 0 36 68 0 0 0 36 72 0 0 0 37 39 0 0 0 37 72 0 0 0 37 73 0 0 0 38 39 0 0 0 38 72 0 0 0 38 74 0 0 0 39 72 0 0 0 39 75 0 0 0 40 70 0 0 0 40 71 0 0 0 40 76 0 0 0 41 77 0 0 0 42 54 0 0 0 42 56 0 0 0 42 78 0 0 0 43 74 0 0 0 43 79 0 0 0 43 80 0 0 0 43 81 0 0 0 44 82 0 0 0 45 51 0 0 0 45 53 0 0 0 45 83 0 0 0 46 73 0 0 0 46 84 0 0 0 46 85 0 0 0 46 86 0 0 0 47 48 0 0 0 47 64 0 0 0 47 87 0 0 0 48 49 0 0 0 48 64 0 0 0 48 88 0 0 0 49 64 0 0 0 49 89 0 0 0 50 90 0 0 0 50 91 0 0 0 50 92 0 0 0 50 93 0 0 0 51 52 0 0 0 51 83 0 0 0 51 94 0 0 0 52 53 0 0 0 52 83 0 0 0 52 95 0 0 0 53 83 0 0 0 53 96 0 0 0 54 55 0 0 0 54 78 0 0 0 54 97 0 0 0 55 56 0 0 0 55 78 0 0 0 55 98 0 0 0 56 78 0 0 0 56 99 0 0 0 57 58 0 0 0 57 59 0 0 0 57 100 0 0 0 57 101 0 0 0 58 60 0 0 0 58 101 0 0 0 58 102 0 0 0 59 60 0 0 0 59 101 0 0 0 60 101 0 0 0 60 103 0 0 0 61 104 0 0 0 62 75 0 0 0 62 105 0 0 0 62 106 0 0 0 62 107 0 0 0 63 108 0 0 0 63 109 0 0 0 63 110 0 0 0 63 111 0 0 0 64 112 0 0 0 65 66 0 0 0 65 67 0 0 0 65 113 0 0 0 65 114 0 0 0 66 68 0 0 0 66 114 0 0 0 66 115 0 0 0 67 68 0 0 0 67 114 0 0 0 67 116 0 0 0 68 114 0 0 0 69 70 0 0 0 69 71 0 0 0 69 76 0 0 0 69 117 0 0 0 70 76 0 0 0 70 118 0 0 0 71 76 0 0 0 71 119 0 0 0 72 120 0 0 0 73 84 0 0 0 73 86 0 0 0 73 121 0 0 0 74 79 0 0 0 74 81 0 0 0 74 122 0 0 0 75 105 0 0 0 75 106 0 0 0 75 123 0 0 0 76 124 0 0 0 77 125 0 0 0 77 126 0 0 0 77 127 0 0 0 77 128 0 0 0 78 129 0 0 0 79 80 0 0 0 79 122 0 0 0 79 130 0 0 0 80 81 0 0 0 80 122 0 0 0 80 131 0 0 0 81 122 0 0 0 81 132 0 0 0 82 125 1 0 0 82 126 1 0 0 82 127 1 0 0 82 128 1 0 0 83 133 0 0 0 84 85 0 0 0 84 121 0 0 0 84 134 0 0 0 85 86 0 0 0 85 121 0 0 0 85 135 0 0 0 86 121 0 0 0 86 136 0 0 0 87 94 0 0 0 87 132 0 1 0 88 137 0 0 0 88 138 0 0 0 89 97 0 0 0 89 118 0 0 0 89 136 -1 1 0 90 91 0 0 0 90 92 0 0 0 90 120 0 0 1 90 138 0 0 0 91 93 0 0 0 91 120 0 0 1 91 139 0 0 0 92 93 0 0 0 92 120 0 0 1 92 140 0 0 0 93 120 0 0 1 93 141 0 0 0 94 142 0 0 0 95 117 1 -1 1 95 140 0 0 0 95 143 0 0 0 96 100 0 0 0 96 116 1 -1 1 96 119 1 -1 1 97 118 0 0 0 97 144 0 0 0 98 139 0 0 0 98 145 0 0 0 99 103 0 0 0 99 115 0 -1 1 100 119 1 -1 1 100 130 1 -1 1 101 146 0 0 0 102 124 1 -1 1 102 141 0 0 0 102 147 0 0 0 103 134 0 -1 1 104 108 1 -2 1 104 109 1 -2 1 104 110 1 -2 1 104 111 1 -2 1 105 107 0 0 0 105 123 0 0 0 105 144 1 -1 0 106 107 0 0 0 106 123 0 0 0 106 142 0 -1 0 107 123 0 0 0 107 148 0 0 0 108 109 0 0 0 108 110 0 0 0 108 145 0 1 -1 109 111 0 0 0 109 149 0 0 0 110 111 0 0 0 110 150 0 0 0 111 143 -1 1 -1 112 131 0 1 0 112 135 -1 1 0 112 149 0 0 0 112 151 0 0 0 113 129 0 1 -1 113 133 -1 1 -1 113 150 0 0 0 113 152 0 0 0 114 153 0 0 0 115 134 0 0 0 116 119 0 0 0 116 130 0 0 0 117 140 -1 1 -1 117 143 -1 1 -1 117 154 0 0 0 118 136 -1 1 0 118 144 0 0 0 119 130 0 0 0 121 154 1 -1 0 122 155 0 0 0 123 156 0 0 0 124 141 -1 1 -1 124 147 -1 1 -1 124 156 -1 1 0 125 126 0 0 0 125 127 0 0 0 125 147 -1 1 -1 126 128 0 0 0 126 152 0 -1 1 127 128 0 0 0 127 151 0 -1 0 128 137 0 -1 0 129 148 -1 1 0 129 150 0 -1 1 129 152 0 -1 1 131 146 -1 1 -1 131 149 0 -1 0 131 151 0 -1 0 132 142 0 -1 0 133 148 0 1 0 133 150 1 -1 1 133 152 1 -1 1 135 146 0 1 -1 135 149 1 -1 0 135 151 1 -1 0 136 144 1 -1 0 137 153 0 0 1 138 153 0 0 1 139 155 0 0 1 140 154 1 -1 1 141 156 0 0 1 143 154 1 -1 1 145 155 0 0 1 146 149 1 -2 1 146 151 1 -2 1 147 156 0 0 1 148 150 1 -2 1 148 152 1 -2 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
683
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)
682.9615384615385
Genus (mofplus-deposit)
199
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)
682.9615384615385
Genus (rcsr-archive-key)
199
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)
(4.8^2)2(3^2.4.8^3)2(3^4.4^2.8^2.9^2)2(3^4.4^2.8^3.9)2(3^4.4^2.8^4)5
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, 113.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 21 32 48 56 72 100 112 176
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 233.3.3.3.4(2).4(2).8.8.8.8 3.3.3.3.8.8.8.8.20(2).20(2) 3^4.4^2.8^4 5 8 21 33 44 64 80 96 136 161
24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 713.3.4(2).8.8.8 3.3.4.8.8.8 3^2.4.8^3 4 8 18 30 43 59 80 105 130 176
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 1193.3.3.3.4(3).4(3).8.8.8.9(2) 3.3.3.3.4.4.8.8.8.12(2) 3^4.4^2.8^3.9 5 8 18 29 45 64 85 105 147 180
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 1673.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 16 31 45 61 87 121 145 181
168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 2153.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 22 31 39 61 99 121 151 181
216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 2633.3.3.3.4(3).4(3).8.8.9(2).9(2) 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 7 17 27 45 64 86 110 149 181
264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 3114.8.8 4.8.8 4.8^2 3 7 14 26 41 63 87 115 137 170

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

Net point symbol (rcsr-archive-key)
(4.8^2)2(3^2.4.8^3)2(3^4.4^2.8^2.9^2)2(3^4.4^2.8^3.9)2(3^4.4^2.8^4)5
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, 7, 24, 26, 27, 28, 49, 63, 64, 67, 72, 73, 74, 77, 79, 82, 84, 100, 106, 108, 109, 119, 125, 1263.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 16 31 45 61 87 121 145 181
1, 2, 32, 33, 41, 42, 48, 51, 52, 53, 56, 57, 62, 66, 76, 78, 85, 91, 92, 104, 110, 120, 122, 1243.3.3.3.4(3).4(3).8.8.8.9(2) 3.3.3.3.4.4.8.8.8.12(2) 3^4.4^2.8^3.9 5 8 18 29 45 64 85 105 147 180
3, 5, 44, 45, 46, 47, 50, 54, 55, 58, 59, 61, 65, 80, 81, 83, 89, 90, 103, 105, 107, 113, 121, 1273.3.3.3.4(3).4(3).8.8.9(2).9(2) 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 7 17 27 45 64 86 110 149 181
4, 10, 11, 12, 13, 18, 25, 35, 36, 37, 38, 71, 111, 112, 128, 130, 132, 134, 145, 147, 148, 149, 150, 1513.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 22 31 39 61 99 121 151 181
6, 8, 15, 16, 20, 21, 31, 40, 88, 94, 95, 96, 99, 101, 115, 129, 135, 139, 140, 142, 143, 146, 153, 1553.3.4(2).8.8.8 3.3.4.8.8.8 3^2.4.8^3 4 8 18 30 43 59 80 105 130 176
9, 14, 22, 23, 29, 30, 43, 60, 86, 87, 93, 97, 98, 102, 114, 131, 133, 136, 137, 138, 141, 144, 152, 1544.8.8 4.8.8 4.8^2 3 7 14 26 41 63 87 115 137 170
17, 19, 116, 117, 118, 1233.3.3.3.4(2).4(2).8.8.8.8 3.3.3.3.8.8.8.8.20(2).20(2) 3^4.4^2.8^4 5 8 21 33 44 64 80 96 136 161
34, 39, 68, 69, 70, 753.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 21 32 48 56 72 100 112 176

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 312 of 312 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 312 of 312 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
viv-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
2397 (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
2397 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.