MOF++

Data › Nets › moo

Net topology

moo

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

JSON · mfpx

816 vertices and 1632 edges in the unit cell. 144 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
Fd-3m (No. 227)
Cell lengths
a = 13.0887 Å, b = 13.0887 Å, c = 13.0887 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
816
Transitivity pqrs
10, 11, *, *
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 8 0 0 0 2 9 0 0 0 3 8 0 0 0 3 10 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 11 0 0 0 6 13 0 0 0 7 12 0 0 0 7 13 0 0 0 8 14 0 0 0 8 15 0 0 0 8 16 0 0 0 8 17 0 0 0 9 17 0 0 0 9 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 17 0 0 0 10 21 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 27 0 0 0 12 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 27 0 0 0 13 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 34 0 0 0 14 35 0 0 0 15 34 0 0 0 15 36 0 0 0 16 35 0 0 0 16 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 37 0 0 0 19 39 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 40 0 0 0 22 42 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 43 0 0 0 25 45 0 0 0 26 44 0 0 0 26 45 0 0 0 28 46 0 0 0 28 47 0 0 0 29 46 0 0 0 29 48 0 0 0 30 47 0 0 0 30 48 0 0 0 31 49 0 0 0 31 50 0 0 0 32 49 0 0 0 32 51 0 0 0 33 50 0 0 0 33 51 0 0 0 34 52 0 0 0 34 53 0 0 0 34 54 0 0 0 34 55 0 0 0 35 55 0 0 0 35 56 0 0 0 35 57 0 0 0 35 58 0 0 0 36 55 0 0 0 36 59 0 0 0 36 60 0 0 0 36 61 0 0 0 37 62 0 0 0 37 63 0 0 0 37 64 0 0 0 37 65 0 0 0 38 65 0 0 0 38 66 0 0 0 38 67 0 0 0 38 68 0 0 0 39 65 0 0 0 39 69 0 0 0 39 70 0 0 0 39 71 0 0 0 40 72 0 0 0 40 73 0 0 0 40 74 0 0 0 40 75 0 0 0 41 75 0 0 0 41 76 0 0 0 41 77 0 0 0 41 78 0 0 0 42 75 0 0 0 42 79 0 0 0 42 80 0 0 0 42 81 0 0 0 43 57 0 0 0 43 58 0 0 0 43 82 0 0 0 43 83 0 0 0 44 83 0 0 0 44 84 0 0 0 44 85 0 0 0 44 86 0 0 0 45 83 0 0 0 45 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 46 92 0 0 0 46 93 0 0 0 47 66 0 0 0 47 68 0 0 0 47 93 0 0 0 47 94 0 0 0 48 93 0 0 0 48 95 0 0 0 48 96 0 0 0 48 97 0 0 0 49 98 0 0 0 49 99 0 0 0 49 100 0 0 0 49 101 0 0 0 50 79 0 0 0 50 80 0 0 0 50 100 0 0 0 50 102 0 0 0 51 100 0 0 0 51 103 0 0 0 51 104 0 0 0 51 105 0 0 0 52 106 0 0 0 52 107 0 0 0 53 106 0 0 0 53 108 0 0 0 54 107 0 0 0 54 108 0 0 0 56 109 0 0 0 56 110 0 0 0 57 109 0 0 0 58 110 0 0 0 59 111 0 0 0 59 112 0 0 0 60 111 0 0 0 60 113 0 0 0 61 112 0 0 0 61 113 0 0 0 62 108 0 0 0 62 114 0 0 0 63 108 0 0 0 63 115 0 0 0 64 114 0 0 0 64 115 0 0 0 66 116 0 0 0 67 116 0 0 0 67 117 0 0 0 68 117 0 0 0 69 118 0 0 0 69 119 0 0 0 70 118 0 0 0 70 120 0 0 0 71 119 0 0 0 71 120 0 0 0 72 113 0 0 0 72 121 0 0 0 73 113 0 0 0 73 122 0 0 0 74 121 0 0 0 74 122 0 0 0 76 119 0 0 0 76 123 0 0 0 77 123 0 0 0 77 124 0 0 0 78 119 0 0 0 78 124 0 0 0 79 125 0 0 0 80 126 0 0 0 81 125 0 0 0 81 126 0 0 0 82 109 0 0 0 82 110 0 0 0 84 121 1 0 0 84 127 0 0 0 85 127 0 0 0 85 128 0 0 0 86 121 1 0 0 86 128 0 0 0 87 120 0 1 0 87 129 0 0 0 88 120 0 1 0 88 130 0 0 0 89 129 0 0 0 89 130 0 0 0 90 128 0 0 0 90 131 0 0 0 91 123 1 0 0 91 128 0 0 0 92 123 1 0 0 92 131 0 0 0 94 116 0 0 0 94 117 0 0 0 95 132 0 0 0 95 133 0 0 0 96 107 0 0 1 96 132 0 0 0 97 107 0 0 1 97 133 0 0 0 98 114 -1 1 1 98 134 0 0 0 99 134 0 0 0 99 135 0 0 0 101 114 -1 1 1 101 135 0 0 0 102 125 0 0 0 102 126 0 0 0 103 111 0 0 1 103 132 0 0 0 104 132 0 0 0 104 136 0 0 0 105 111 0 0 1 105 136 0 0 0 106 137 0 0 0 106 138 0 0 0 106 139 0 0 0 106 140 0 0 0 107 140 0 0 0 107 141 0 0 0 108 140 0 0 0 108 142 0 0 0 109 143 0 0 0 109 144 0 0 0 109 145 0 0 0 110 146 0 0 0 110 147 0 0 0 110 148 0 0 0 111 149 0 0 0 111 150 0 0 0 112 150 0 0 0 112 151 0 0 0 112 152 0 0 0 112 153 0 0 0 113 150 0 0 0 113 154 0 0 0 114 142 0 0 0 114 155 0 0 0 115 142 0 0 0 115 156 0 0 0 115 157 0 0 0 115 158 0 0 0 116 152 1 -1 0 116 153 1 -1 0 116 159 0 0 0 117 160 0 0 0 117 161 0 0 0 117 162 0 0 0 118 147 0 -1 0 118 148 0 -1 0 118 163 0 0 0 118 164 0 0 0 119 164 0 0 0 119 165 0 0 0 120 164 0 0 0 120 166 0 0 0 121 154 0 0 0 121 167 0 0 0 122 154 0 0 0 122 160 -1 1 0 122 161 -1 1 0 122 168 0 0 0 123 165 0 0 0 123 169 0 0 0 124 137 -1 0 1 124 138 -1 0 1 124 165 0 0 0 124 170 0 0 0 125 156 -1 1 1 125 158 -1 1 1 125 171 0 0 0 126 143 -1 0 1 126 144 -1 0 1 126 172 0 0 0 127 167 1 0 0 127 173 0 0 0 127 174 0 0 0 127 175 0 0 0 128 167 1 0 0 128 169 1 0 0 129 160 0 1 0 129 162 0 1 0 129 166 0 1 0 129 168 1 0 0 130 166 0 1 0 130 176 0 0 0 130 177 0 0 0 130 178 0 0 0 131 169 1 0 0 131 179 0 0 0 131 180 0 0 0 131 181 0 0 0 132 141 0 0 1 132 149 0 0 1 133 141 0 0 1 133 182 0 0 0 133 183 0 0 0 133 184 0 0 0 134 155 -1 1 1 134 177 0 0 0 134 178 0 0 0 134 185 0 0 0 135 151 0 0 1 135 152 0 0 1 135 155 -1 1 1 135 159 -1 1 1 136 149 0 0 1 136 173 -1 0 1 136 174 -1 0 1 136 186 0 0 0 137 187 0 0 0 138 188 0 0 0 139 187 0 0 0 139 188 0 0 0 143 187 0 0 0 144 189 0 0 0 145 187 0 0 0 145 189 0 0 0 146 190 0 0 0 146 191 0 0 0 147 190 0 0 0 148 191 0 0 0 151 192 0 0 0 153 192 0 0 0 156 193 0 0 0 157 190 0 -1 0 157 193 0 0 0 158 190 0 -1 0 159 192 1 -1 0 161 194 0 0 0 162 194 0 0 0 163 190 0 -1 0 163 191 0 -1 0 168 194 -1 1 0 170 187 -1 0 1 170 188 -1 0 1 171 190 -1 0 1 171 193 -1 1 1 172 187 -1 0 1 172 189 -1 0 1 173 189 0 0 0 174 195 0 0 0 175 189 0 0 0 175 195 0 0 0 176 188 -1 1 1 176 196 0 0 0 177 188 -1 1 1 178 196 0 0 0 179 191 1 -1 0 179 197 0 0 0 180 192 1 -1 0 180 197 0 0 0 181 191 1 -1 0 181 192 1 -1 0 182 194 0 0 0 182 198 0 0 0 183 193 0 0 1 183 194 0 0 0 184 193 0 0 1 184 198 0 0 0 185 188 -1 1 1 185 196 0 0 0 186 189 -1 0 1 186 195 -1 0 1 191 199 0 0 0 192 199 0 0 0 193 200 0 0 0 194 200 0 0 1 195 201 0 0 0 195 202 0 0 0 195 203 0 0 0 196 201 -1 1 1 196 203 -1 1 1 196 204 0 0 0 197 199 1 -1 0 197 202 0 0 0 197 203 0 0 0 197 204 1 -1 -1 198 200 0 0 1 198 201 -1 0 1 198 202 -1 0 1 198 204 0 -1 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
d3beb54bfd16e4719f999d7c76ba7e1d (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: 816 of 816 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. 816 of 816 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 Fd-3m, 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 3 m4.4.43 12 10 33 28 80 53 146 101 238
1 3 m4.4.43 12 10 33 28 80 53 146 101 238
2 3 m4.4.43 12 10 33 28 80 53 146 101 238
3 3 m4.4.43 12 10 33 28 80 53 146 101 238
4 3 m4.4.43 12 10 33 28 80 53 146 101 238
5 3 m4.4.43 12 10 33 28 80 53 146 101 238
6 3 m4.4.43 12 10 33 28 80 53 146 101 238
7 3 m4.4.43 12 10 33 28 80 53 146 101 238
8 3 m4.4.43 12 10 33 28 80 53 146 101 238
9 3 m4.4.43 12 10 33 28 80 53 146 101 238
10 3 m4.4.43 12 10 33 28 80 53 146 101 238
11 3 m4.4.43 12 10 33 28 80 53 146 101 238
12 3 m4.4.43 12 10 33 28 80 53 146 101 238
13 3 m4.4.43 12 10 33 28 80 53 146 101 238
14 3 m4.4.43 12 10 33 28 80 53 146 101 238
15 3 m4.4.43 12 10 33 28 80 53 146 101 238
16 3 m4.4.43 12 10 33 28 80 53 146 101 238
17 3 m4.4.43 12 10 33 28 80 53 146 101 238
18 3 m4.4.43 12 10 33 28 80 53 146 101 238
19 3 m4.4.43 12 10 33 28 80 53 146 101 238
20 3 m4.4.43 12 10 33 28 80 53 146 101 238
21 3 m4.4.43 12 10 33 28 80 53 146 101 238
22 3 m4.4.43 12 10 33 28 80 53 146 101 238
23 3 m4.4.43 12 10 33 28 80 53 146 101 238
24 3 m4.4.43 12 10 33 28 80 53 146 101 238
25 3 m4.4.43 12 10 33 28 80 53 146 101 238
26 3 m4.4.43 12 10 33 28 80 53 146 101 238
27 3 m4.4.43 12 10 33 28 80 53 146 101 238
28 3 m4.4.43 12 10 33 28 80 53 146 101 238
29 3 m4.4.43 12 10 33 28 80 53 146 101 238
30 3 m4.4.43 12 10 33 28 80 53 146 101 238
31 3 m4.4.43 12 10 33 28 80 53 146 101 238
32 3 m4.4.43 12 10 33 28 80 53 146 101 238
33 3 m4.4.43 12 10 33 28 80 53 146 101 238
34 3 m4.4.43 12 10 33 28 80 53 146 101 238
35 3 m4.4.43 12 10 33 28 80 53 146 101 238
36 3 m4.4.43 12 10 33 28 80 53 146 101 238
37 3 m4.4.43 12 10 33 28 80 53 146 101 238
38 3 m4.4.43 12 10 33 28 80 53 146 101 238
39 3 m4.4.43 12 10 33 28 80 53 146 101 238
40 3 m4.4.43 12 10 33 28 80 53 146 101 238
41 3 m4.4.43 12 10 33 28 80 53 146 101 238
42 3 m4.4.43 12 10 33 28 80 53 146 101 238
43 3 m4.4.43 12 10 33 28 80 53 146 101 238
44 3 m4.4.43 12 10 33 28 80 53 146 101 238
45 3 m4.4.43 12 10 33 28 80 53 146 101 238
46 3 m4.4.43 12 10 33 28 80 53 146 101 238
47 3 m4.4.43 12 10 33 28 80 53 146 101 238
48 3 m4.4.43 12 10 33 28 80 53 146 101 238
49 3 m4.4.43 12 10 33 28 80 53 146 101 238
50 3 m4.4.43 12 10 33 28 80 53 146 101 238
51 3 m4.4.43 12 10 33 28 80 53 146 101 238
52 3 m4.4.43 12 10 33 28 80 53 146 101 238
53 3 m4.4.43 12 10 33 28 80 53 146 101 238
54 3 m4.4.43 12 10 33 28 80 53 146 101 238
55 3 m4.4.43 12 10 33 28 80 53 146 101 238
56 3 m4.4.43 12 10 33 28 80 53 146 101 238
57 3 m4.4.43 12 10 33 28 80 53 146 101 238
58 3 m4.4.43 12 10 33 28 80 53 146 101 238
59 3 m4.4.43 12 10 33 28 80 53 146 101 238
60 3 m4.4.43 12 10 33 28 80 53 146 101 238
61 3 m4.4.43 12 10 33 28 80 53 146 101 238
62 3 m4.4.43 12 10 33 28 80 53 146 101 238
63 3 m4.4.43 12 10 33 28 80 53 146 101 238
64 3 m4.4.43 12 10 33 28 80 53 146 101 238
65 3 m4.4.43 12 10 33 28 80 53 146 101 238
66 3 m4.4.43 12 10 33 28 80 53 146 101 238
67 3 m4.4.43 12 10 33 28 80 53 146 101 238
68 3 m4.4.43 12 10 33 28 80 53 146 101 238
69 3 m4.4.43 12 10 33 28 80 53 146 101 238
70 3 m4.4.43 12 10 33 28 80 53 146 101 238
71 3 m4.4.43 12 10 33 28 80 53 146 101 238
72 3 m4.4.43 12 10 33 28 80 53 146 101 238
73 3 m4.4.43 12 10 33 28 80 53 146 101 238
74 3 m4.4.43 12 10 33 28 80 53 146 101 238
75 3 m4.4.43 12 10 33 28 80 53 146 101 238
76 3 m4.4.43 12 10 33 28 80 53 146 101 238
77 3 m4.4.43 12 10 33 28 80 53 146 101 238
78 3 m4.4.43 12 10 33 28 80 53 146 101 238
79 3 m4.4.43 12 10 33 28 80 53 146 101 238
80 3 m4.4.43 12 10 33 28 80 53 146 101 238
81 3 m4.4.43 12 10 33 28 80 53 146 101 238
82 3 m4.4.43 12 10 33 28 80 53 146 101 238
83 3 m4.4.43 12 10 33 28 80 53 146 101 238
84 3 m4.4.43 12 10 33 28 80 53 146 101 238
85 3 m4.4.43 12 10 33 28 80 53 146 101 238
86 3 m4.4.43 12 10 33 28 80 53 146 101 238
87 3 m4.4.43 12 10 33 28 80 53 146 101 238
88 3 m4.4.43 12 10 33 28 80 53 146 101 238
89 3 m4.4.43 12 10 33 28 80 53 146 101 238
90 3 m4.4.43 12 10 33 28 80 53 146 101 238
91 3 m4.4.43 12 10 33 28 80 53 146 101 238
92 3 m4.4.43 12 10 33 28 80 53 146 101 238
93 3 m4.4.43 12 10 33 28 80 53 146 101 238
94 3 m4.4.43 12 10 33 28 80 53 146 101 238
95 3 m4.4.43 12 10 33 28 80 53 146 101 238
96 3 3m4.4.43 12 10 33 27 76 54 144 93 231
97 3 3m4.4.43 12 10 33 27 76 54 144 93 231
98 3 3m4.4.43 12 10 33 27 76 54 144 93 231
99 3 3m4.4.43 12 10 33 27 76 54 144 93 231
100 3 3m4.4.43 12 10 33 27 76 54 144 93 231
101 3 3m4.4.43 12 10 33 27 76 54 144 93 231
102 3 3m4.4.43 12 10 33 27 76 54 144 93 231
103 3 3m4.4.43 12 10 33 27 76 54 144 93 231
104 3 3m4.4.43 12 10 33 27 76 54 144 93 231
105 3 3m4.4.43 12 10 33 27 76 54 144 93 231
106 3 3m4.4.43 12 10 33 27 76 54 144 93 231
107 3 3m4.4.43 12 10 33 27 76 54 144 93 231
108 3 3m4.4.43 12 10 33 27 76 54 144 93 231
109 3 3m4.4.43 12 10 33 27 76 54 144 93 231
110 3 3m4.4.43 12 10 33 27 76 54 144 93 231
111 3 3m4.4.43 12 10 33 27 76 54 144 93 231
112 3 3m4.4.43 12 10 33 27 76 54 144 93 231
113 3 3m4.4.43 12 10 33 27 76 54 144 93 231
114 3 3m4.4.43 12 10 33 27 76 54 144 93 231
115 3 3m4.4.43 12 10 33 27 76 54 144 93 231
116 3 3m4.4.43 12 10 33 27 76 54 144 93 231
117 3 3m4.4.43 12 10 33 27 76 54 144 93 231
118 3 3m4.4.43 12 10 33 27 76 54 144 93 231
119 3 3m4.4.43 12 10 33 27 76 54 144 93 231
120 3 3m4.4.43 12 10 33 27 76 54 144 93 231
121 3 3m4.4.43 12 10 33 27 76 54 144 93 231
122 3 3m4.4.43 12 10 33 27 76 54 144 93 231
123 3 3m4.4.43 12 10 33 27 76 54 144 93 231
124 3 3m4.4.43 12 10 33 27 76 54 144 93 231
125 3 3m4.4.43 12 10 33 27 76 54 144 93 231
126 3 3m4.4.43 12 10 33 27 76 54 144 93 231
127 3 3m4.4.43 12 10 33 27 76 54 144 93 231
128 3 m4.4.43 12 10 33 27 76 53 140 91 223
129 3 m4.4.43 12 10 33 27 76 53 140 91 223
130 3 m4.4.43 12 10 33 27 76 53 140 91 223
131 3 m4.4.43 12 10 33 27 76 53 140 91 223
132 3 m4.4.43 12 10 33 27 76 53 140 91 223
133 3 m4.4.43 12 10 33 27 76 53 140 91 223
134 3 m4.4.43 12 10 33 27 76 53 140 91 223
135 3 m4.4.43 12 10 33 27 76 53 140 91 223
136 3 m4.4.43 12 10 33 27 76 53 140 91 223
137 3 m4.4.43 12 10 33 27 76 53 140 91 223
138 3 m4.4.43 12 10 33 27 76 53 140 91 223
139 3 m4.4.43 12 10 33 27 76 53 140 91 223
140 3 m4.4.43 12 10 33 27 76 53 140 91 223
141 3 m4.4.43 12 10 33 27 76 53 140 91 223
142 3 m4.4.43 12 10 33 27 76 53 140 91 223
143 3 m4.4.43 12 10 33 27 76 53 140 91 223
144 3 m4.4.43 12 10 33 27 76 53 140 91 223
145 3 m4.4.43 12 10 33 27 76 53 140 91 223
146 3 m4.4.43 12 10 33 27 76 53 140 91 223
147 3 m4.4.43 12 10 33 27 76 53 140 91 223
148 3 m4.4.43 12 10 33 27 76 53 140 91 223
149 3 m4.4.43 12 10 33 27 76 53 140 91 223
150 3 m4.4.43 12 10 33 27 76 53 140 91 223
151 3 m4.4.43 12 10 33 27 76 53 140 91 223
152 3 m4.4.43 12 10 33 27 76 53 140 91 223
153 3 m4.4.43 12 10 33 27 76 53 140 91 223
154 3 m4.4.43 12 10 33 27 76 53 140 91 223
155 3 m4.4.43 12 10 33 27 76 53 140 91 223
156 3 m4.4.43 12 10 33 27 76 53 140 91 223
157 3 m4.4.43 12 10 33 27 76 53 140 91 223
158 3 m4.4.43 12 10 33 27 76 53 140 91 223
159 3 m4.4.43 12 10 33 27 76 53 140 91 223
160 3 m4.4.43 12 10 33 27 76 53 140 91 223
161 3 m4.4.43 12 10 33 27 76 53 140 91 223
162 3 m4.4.43 12 10 33 27 76 53 140 91 223
163 3 m4.4.43 12 10 33 27 76 53 140 91 223
164 3 m4.4.43 12 10 33 27 76 53 140 91 223
165 3 m4.4.43 12 10 33 27 76 53 140 91 223
166 3 m4.4.43 12 10 33 27 76 53 140 91 223
167 3 m4.4.43 12 10 33 27 76 53 140 91 223
168 3 m4.4.43 12 10 33 27 76 53 140 91 223
169 3 m4.4.43 12 10 33 27 76 53 140 91 223
170 3 m4.4.43 12 10 33 27 76 53 140 91 223
171 3 m4.4.43 12 10 33 27 76 53 140 91 223
172 3 m4.4.43 12 10 33 27 76 53 140 91 223
173 3 m4.4.43 12 10 33 27 76 53 140 91 223
174 3 m4.4.43 12 10 33 27 76 53 140 91 223
175 3 m4.4.43 12 10 33 27 76 53 140 91 223
176 3 m4.4.43 12 10 33 27 76 53 140 91 223
177 3 m4.4.43 12 10 33 27 76 53 140 91 223
178 3 m4.4.43 12 10 33 27 76 53 140 91 223
179 3 m4.4.43 12 10 33 27 76 53 140 91 223
180 3 m4.4.43 12 10 33 27 76 53 140 91 223
181 3 m4.4.43 12 10 33 27 76 53 140 91 223
182 3 m4.4.43 12 10 33 27 76 53 140 91 223
183 3 m4.4.43 12 10 33 27 76 53 140 91 223
184 3 m4.4.43 12 10 33 27 76 53 140 91 223
185 3 m4.4.43 12 10 33 27 76 53 140 91 223
186 3 m4.4.43 12 10 33 27 76 53 140 91 223
187 3 m4.4.43 12 10 33 27 76 53 140 91 223
188 3 m4.4.43 12 10 33 27 76 53 140 91 223
189 3 m4.4.43 12 10 33 27 76 53 140 91 223
190 3 m4.4.43 12 10 33 27 76 53 140 91 223
191 3 m4.4.43 12 10 33 27 76 53 140 91 223
192 3 m4.4.43 12 10 33 27 76 53 140 91 223
193 3 m4.4.43 12 10 33 27 76 53 140 91 223
194 3 m4.4.43 12 10 33 27 76 53 140 91 223
195 3 m4.4.43 12 10 33 27 76 53 140 91 223
196 3 m4.4.43 12 10 33 27 76 53 140 91 223
197 3 m4.4.43 12 10 33 27 76 53 140 91 223
198 3 m4.4.43 12 10 33 27 76 53 140 91 223
199 3 m4.4.43 12 10 33 27 76 53 140 91 223
200 3 m4.4.43 12 10 33 27 76 53 140 91 223
201 3 m4.4.43 12 10 33 27 76 53 140 91 223
202 3 m4.4.43 12 10 33 27 76 53 140 91 223
203 3 m4.4.43 12 10 33 27 76 53 140 91 223
204 3 m4.4.43 12 10 33 27 76 53 140 91 223
205 3 m4.4.43 12 10 33 27 76 53 140 91 223
206 3 m4.4.43 12 10 33 27 76 53 140 91 223
207 3 m4.4.43 12 10 33 27 76 53 140 91 223
208 3 m4.4.43 12 10 33 27 76 53 140 91 223
209 3 m4.4.43 12 10 33 27 76 53 140 91 223
210 3 m4.4.43 12 10 33 27 76 53 140 91 223
211 3 m4.4.43 12 10 33 27 76 53 140 91 223
212 3 m4.4.43 12 10 33 27 76 53 140 91 223
213 3 m4.4.43 12 10 33 27 76 53 140 91 223
214 3 m4.4.43 12 10 33 27 76 53 140 91 223
215 3 m4.4.43 12 10 33 27 76 53 140 91 223
216 3 m4.4.43 12 10 33 27 76 53 140 91 223
217 3 m4.4.43 12 10 33 27 76 53 140 91 223
218 3 m4.4.43 12 10 33 27 76 53 140 91 223
219 3 m4.4.43 12 10 33 27 76 53 140 91 223
220 3 m4.4.43 12 10 33 27 76 53 140 91 223
221 3 m4.4.43 12 10 33 27 76 53 140 91 223
222 3 m4.4.43 12 10 33 27 76 53 140 91 223
223 3 m4.4.43 12 10 33 27 76 53 140 91 223
224 3 14.4.43 12 10 33 27 78 55 146 96 236
225 3 14.4.43 12 10 33 27 78 55 146 96 236
226 3 14.4.43 12 10 33 27 78 55 146 96 236
227 3 14.4.43 12 10 33 27 78 55 146 96 236
228 3 14.4.43 12 10 33 27 78 55 146 96 236
229 3 14.4.43 12 10 33 27 78 55 146 96 236
230 3 14.4.43 12 10 33 27 78 55 146 96 236
231 3 14.4.43 12 10 33 27 78 55 146 96 236
232 3 14.4.43 12 10 33 27 78 55 146 96 236
233 3 14.4.43 12 10 33 27 78 55 146 96 236
234 3 14.4.43 12 10 33 27 78 55 146 96 236
235 3 14.4.43 12 10 33 27 78 55 146 96 236
236 3 14.4.43 12 10 33 27 78 55 146 96 236
237 3 14.4.43 12 10 33 27 78 55 146 96 236
238 3 14.4.43 12 10 33 27 78 55 146 96 236
239 3 14.4.43 12 10 33 27 78 55 146 96 236
240 3 14.4.43 12 10 33 27 78 55 146 96 236
241 3 14.4.43 12 10 33 27 78 55 146 96 236
242 3 14.4.43 12 10 33 27 78 55 146 96 236
243 3 14.4.43 12 10 33 27 78 55 146 96 236
244 3 14.4.43 12 10 33 27 78 55 146 96 236
245 3 14.4.43 12 10 33 27 78 55 146 96 236
246 3 14.4.43 12 10 33 27 78 55 146 96 236
247 3 14.4.43 12 10 33 27 78 55 146 96 236
248 3 14.4.43 12 10 33 27 78 55 146 96 236
249 3 14.4.43 12 10 33 27 78 55 146 96 236
250 3 14.4.43 12 10 33 27 78 55 146 96 236
251 3 14.4.43 12 10 33 27 78 55 146 96 236
252 3 14.4.43 12 10 33 27 78 55 146 96 236
253 3 14.4.43 12 10 33 27 78 55 146 96 236
254 3 14.4.43 12 10 33 27 78 55 146 96 236
255 3 14.4.43 12 10 33 27 78 55 146 96 236
256 3 14.4.43 12 10 33 27 78 55 146 96 236
257 3 14.4.43 12 10 33 27 78 55 146 96 236
258 3 14.4.43 12 10 33 27 78 55 146 96 236
259 3 14.4.43 12 10 33 27 78 55 146 96 236
260 3 14.4.43 12 10 33 27 78 55 146 96 236
261 3 14.4.43 12 10 33 27 78 55 146 96 236
262 3 14.4.43 12 10 33 27 78 55 146 96 236
263 3 14.4.43 12 10 33 27 78 55 146 96 236
264 3 14.4.43 12 10 33 27 78 55 146 96 236
265 3 14.4.43 12 10 33 27 78 55 146 96 236
266 3 14.4.43 12 10 33 27 78 55 146 96 236
267 3 14.4.43 12 10 33 27 78 55 146 96 236
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577 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
578 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
579 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
580 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
581 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
582 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
583 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
584 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
585 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
586 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
587 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
588 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
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590 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
591 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
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595 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
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598 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
599 6 mm24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 38 110 76 196 129
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719 6 m4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16)6 6 20 18 54 37 106 77 190 115
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785 6 24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80)6 6 20 18 56 39 110 80 196 117
786 6 24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80)6 6 20 18 56 39 110 80 196 117
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794 6 24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80)6 6 20 18 56 39 110 80 196 117
795 6 24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80)6 6 20 18 56 39 110 80 196 117
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812 6 24.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80)6 6 20 18 56 39 110 80 196 117
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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)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (mofplus-deposit)
10, 11 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)
4
RCSR identification (mofplus-deposit)
moo
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 8 0 0 0 2 9 0 0 0 3 8 0 0 0 3 10 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 11 0 0 0 6 13 0 0 0 7 12 0 0 0 7 13 0 0 0 8 14 0 0 0 8 15 0 0 0 8 16 0 0 0 8 17 0 0 0 9 17 0 0 0 9 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 17 0 0 0 10 21 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 27 0 0 0 12 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 27 0 0 0 13 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 34 0 0 0 14 35 0 0 0 15 34 0 0 0 15 36 0 0 0 16 35 0 0 0 16 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 37 0 0 0 19 39 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 40 0 0 0 22 42 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 43 0 0 0 25 45 0 0 0 26 44 0 0 0 26 45 0 0 0 28 46 0 0 0 28 47 0 0 0 29 46 0 0 0 29 48 0 0 0 30 47 0 0 0 30 48 0 0 0 31 49 0 0 0 31 50 0 0 0 32 49 0 0 0 32 51 0 0 0 33 50 0 0 0 33 51 0 0 0 34 52 0 0 0 34 53 0 0 0 34 54 0 0 0 34 55 0 0 0 35 55 0 0 0 35 56 0 0 0 35 57 0 0 0 35 58 0 0 0 36 55 0 0 0 36 59 0 0 0 36 60 0 0 0 36 61 0 0 0 37 62 0 0 0 37 63 0 0 0 37 64 0 0 0 37 65 0 0 0 38 65 0 0 0 38 66 0 0 0 38 67 0 0 0 38 68 0 0 0 39 65 0 0 0 39 69 0 0 0 39 70 0 0 0 39 71 0 0 0 40 72 0 0 0 40 73 0 0 0 40 74 0 0 0 40 75 0 0 0 41 75 0 0 0 41 76 0 0 0 41 77 0 0 0 41 78 0 0 0 42 75 0 0 0 42 79 0 0 0 42 80 0 0 0 42 81 0 0 0 43 57 0 0 0 43 58 0 0 0 43 82 0 0 0 43 83 0 0 0 44 83 0 0 0 44 84 0 0 0 44 85 0 0 0 44 86 0 0 0 45 83 0 0 0 45 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 46 92 0 0 0 46 93 0 0 0 47 66 0 0 0 47 68 0 0 0 47 93 0 0 0 47 94 0 0 0 48 93 0 0 0 48 95 0 0 0 48 96 0 0 0 48 97 0 0 0 49 98 0 0 0 49 99 0 0 0 49 100 0 0 0 49 101 0 0 0 50 79 0 0 0 50 80 0 0 0 50 100 0 0 0 50 102 0 0 0 51 100 0 0 0 51 103 0 0 0 51 104 0 0 0 51 105 0 0 0 52 106 0 0 0 52 107 0 0 0 53 106 0 0 0 53 108 0 0 0 54 107 0 0 0 54 108 0 0 0 56 109 0 0 0 56 110 0 0 0 57 109 0 0 0 58 110 0 0 0 59 111 0 0 0 59 112 0 0 0 60 111 0 0 0 60 113 0 0 0 61 112 0 0 0 61 113 0 0 0 62 108 0 0 0 62 114 0 0 0 63 108 0 0 0 63 115 0 0 0 64 114 0 0 0 64 115 0 0 0 66 116 0 0 0 67 116 0 0 0 67 117 0 0 0 68 117 0 0 0 69 118 0 0 0 69 119 0 0 0 70 118 0 0 0 70 120 0 0 0 71 119 0 0 0 71 120 0 0 0 72 113 0 0 0 72 121 0 0 0 73 113 0 0 0 73 122 0 0 0 74 121 0 0 0 74 122 0 0 0 76 119 0 0 0 76 123 0 0 0 77 123 0 0 0 77 124 0 0 0 78 119 0 0 0 78 124 0 0 0 79 125 0 0 0 80 126 0 0 0 81 125 0 0 0 81 126 0 0 0 82 109 0 0 0 82 110 0 0 0 84 121 1 0 0 84 127 0 0 0 85 127 0 0 0 85 128 0 0 0 86 121 1 0 0 86 128 0 0 0 87 120 0 1 0 87 129 0 0 0 88 120 0 1 0 88 130 0 0 0 89 129 0 0 0 89 130 0 0 0 90 128 0 0 0 90 131 0 0 0 91 123 1 0 0 91 128 0 0 0 92 123 1 0 0 92 131 0 0 0 94 116 0 0 0 94 117 0 0 0 95 132 0 0 0 95 133 0 0 0 96 107 0 0 1 96 132 0 0 0 97 107 0 0 1 97 133 0 0 0 98 114 -1 1 1 98 134 0 0 0 99 134 0 0 0 99 135 0 0 0 101 114 -1 1 1 101 135 0 0 0 102 125 0 0 0 102 126 0 0 0 103 111 0 0 1 103 132 0 0 0 104 132 0 0 0 104 136 0 0 0 105 111 0 0 1 105 136 0 0 0 106 137 0 0 0 106 138 0 0 0 106 139 0 0 0 106 140 0 0 0 107 140 0 0 0 107 141 0 0 0 108 140 0 0 0 108 142 0 0 0 109 143 0 0 0 109 144 0 0 0 109 145 0 0 0 110 146 0 0 0 110 147 0 0 0 110 148 0 0 0 111 149 0 0 0 111 150 0 0 0 112 150 0 0 0 112 151 0 0 0 112 152 0 0 0 112 153 0 0 0 113 150 0 0 0 113 154 0 0 0 114 142 0 0 0 114 155 0 0 0 115 142 0 0 0 115 156 0 0 0 115 157 0 0 0 115 158 0 0 0 116 152 1 -1 0 116 153 1 -1 0 116 159 0 0 0 117 160 0 0 0 117 161 0 0 0 117 162 0 0 0 118 147 0 -1 0 118 148 0 -1 0 118 163 0 0 0 118 164 0 0 0 119 164 0 0 0 119 165 0 0 0 120 164 0 0 0 120 166 0 0 0 121 154 0 0 0 121 167 0 0 0 122 154 0 0 0 122 160 -1 1 0 122 161 -1 1 0 122 168 0 0 0 123 165 0 0 0 123 169 0 0 0 124 137 -1 0 1 124 138 -1 0 1 124 165 0 0 0 124 170 0 0 0 125 156 -1 1 1 125 158 -1 1 1 125 171 0 0 0 126 143 -1 0 1 126 144 -1 0 1 126 172 0 0 0 127 167 1 0 0 127 173 0 0 0 127 174 0 0 0 127 175 0 0 0 128 167 1 0 0 128 169 1 0 0 129 160 0 1 0 129 162 0 1 0 129 166 0 1 0 129 168 1 0 0 130 166 0 1 0 130 176 0 0 0 130 177 0 0 0 130 178 0 0 0 131 169 1 0 0 131 179 0 0 0 131 180 0 0 0 131 181 0 0 0 132 141 0 0 1 132 149 0 0 1 133 141 0 0 1 133 182 0 0 0 133 183 0 0 0 133 184 0 0 0 134 155 -1 1 1 134 177 0 0 0 134 178 0 0 0 134 185 0 0 0 135 151 0 0 1 135 152 0 0 1 135 155 -1 1 1 135 159 -1 1 1 136 149 0 0 1 136 173 -1 0 1 136 174 -1 0 1 136 186 0 0 0 137 187 0 0 0 138 188 0 0 0 139 187 0 0 0 139 188 0 0 0 143 187 0 0 0 144 189 0 0 0 145 187 0 0 0 145 189 0 0 0 146 190 0 0 0 146 191 0 0 0 147 190 0 0 0 148 191 0 0 0 151 192 0 0 0 153 192 0 0 0 156 193 0 0 0 157 190 0 -1 0 157 193 0 0 0 158 190 0 -1 0 159 192 1 -1 0 161 194 0 0 0 162 194 0 0 0 163 190 0 -1 0 163 191 0 -1 0 168 194 -1 1 0 170 187 -1 0 1 170 188 -1 0 1 171 190 -1 0 1 171 193 -1 1 1 172 187 -1 0 1 172 189 -1 0 1 173 189 0 0 0 174 195 0 0 0 175 189 0 0 0 175 195 0 0 0 176 188 -1 1 1 176 196 0 0 0 177 188 -1 1 1 178 196 0 0 0 179 191 1 -1 0 179 197 0 0 0 180 192 1 -1 0 180 197 0 0 0 181 191 1 -1 0 181 192 1 -1 0 182 194 0 0 0 182 198 0 0 0 183 193 0 0 1 183 194 0 0 0 184 193 0 0 1 184 198 0 0 0 185 188 -1 1 1 185 196 0 0 0 186 189 -1 0 1 186 195 -1 0 1 191 199 0 0 0 192 199 0 0 0 193 200 0 0 0 194 200 0 0 1 195 201 0 0 0 195 202 0 0 0 195 203 0 0 0 196 201 -1 1 1 196 203 -1 1 1 196 204 0 0 0 197 199 1 -1 0 197 202 0 0 0 197 203 0 0 0 197 204 1 -1 -1 198 200 0 0 1 198 201 -1 0 1 198 202 -1 0 1 198 204 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
674
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)
674.2745098039215
Genus (mofplus-deposit)
205
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)
674.2745098039215
Genus (rcsr-archive-key)
205
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)
(4^3)34(4^6.10^7.12^2)6(4^6.10^9)11
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, 15, 16, 17, 18, 19, 20, 21, 22, 23, 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, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 954.4.4 4.4.4 4^3 3 12 10 33 28 80 53 146 101 238
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 1274.4.4 4.4.4 4^3 3 12 10 33 27 76 54 144 93 231
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, 167, 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, 215, 216, 217, 218, 219, 220, 221, 222, 2234.4.4 4.4.4 4^3 3 12 10 33 27 76 53 140 91 223
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, 263, 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, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 4154.4.4 4.4.4 4^3 3 12 10 33 27 78 55 146 96 236
416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 4474.4.4 4.4.4 4^3 3 12 10 33 27 76 51 132 93 226
448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 5434.4.4 4.4.4 4^3 3 12 10 33 28 80 54 146 98 240
544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 5754.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 36 102 75 180 111
576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 6234.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 38 110 76 196 129
624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 7194.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 37 106 77 190 115
720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 8154.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(16).12(16) 4^6.10^7.12^2 6 6 20 18 56 39 110 80 196 117

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

Net point symbol (rcsr-archive-key)
(4^3)34(4^6.10^7.12^2)6(4^6.10^9)11
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, 9, 43, 46, 50, 107, 108, 110, 113, 114, 115, 116, 117, 118, 119, 120, 125, 127, 131, 186, 195, 196, 1974.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 37 106 77 190 115
1, 3, 16, 61, 62, 63, 65, 66, 67, 68, 69, 70, 83, 84, 103, 104, 143, 144, 148, 166, 171, 200, 201, 2024.4.4 4.4.4 4^3 3 12 10 33 27 76 53 140 91 223
2, 85, 93, 102, 141, 142, 163, 2034.4.4 4.4.4 4^3 3 12 10 33 27 76 54 144 93 231
4, 6, 13, 14, 20, 22, 23, 27, 29, 32, 52, 53, 56, 59, 71, 75, 77, 79, 81, 82, 86, 89, 94, 99, 100, 101, 138, 140, 146, 149, 151, 153, 154, 156, 157, 158, 159, 161, 162, 165, 168, 169, 175, 178, 179, 181, 183, 1844.4.4 4.4.4 4^3 3 12 10 33 27 78 55 146 96 236
5, 15, 21, 25, 31, 55, 58, 73, 80, 87, 90, 92, 95, 97, 136, 139, 147, 152, 155, 160, 164, 177, 198, 1994.4.4 4.4.4 4^3 3 12 10 33 28 80 53 146 101 238
8, 36, 37, 38, 126, 135, 188, 1944.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 36 102 75 180 111
10, 12, 34, 35, 39, 41, 44, 45, 47, 48, 105, 106, 109, 111, 121, 122, 123, 124, 129, 133, 190, 191, 192, 1934.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(80).12(80) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).12(16).12(16) 4^6.10^7.12^2 6 6 20 18 56 39 110 80 196 117
11, 33, 40, 42, 49, 112, 128, 130, 132, 134, 187, 1894.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4.4.4.4.4.4.10(8).10(8).10(8).10(8).10(8).10(8).10(16).10(16).10(16) 4^6.10^9 6 6 20 18 54 38 110 76 196 129
17, 18, 19, 64, 172, 173, 174, 1854.4.4 4.4.4 4^3 3 12 10 33 27 76 51 132 93 226
24, 26, 28, 30, 51, 54, 57, 60, 72, 74, 76, 78, 88, 91, 96, 98, 137, 145, 150, 167, 170, 176, 180, 1824.4.4 4.4.4 4^3 3 12 10 33 28 80 54 146 98 240

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 816 of 816 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 816 of 816 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
moo
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
1316 (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
2439 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.