Net topology

epw-a

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

JSON · mfpx

576 vertices and 960 edges in the unit cell. 90 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 = 12.9484 Å, b = 12.9484 Å, c = 12.9484 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
576
Transitivity pqrs
4, 8, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 31 0 0 0 28 48 0 0 0 29 43 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 30 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 53 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 63 0 0 0 39 64 0 0 0 40 41 0 0 0 40 65 0 0 0 41 66 0 0 0 42 56 0 0 0 42 67 0 0 0 43 68 0 0 0 43 69 0 0 0 44 45 0 0 0 44 70 0 0 0 45 71 0 0 0 46 60 0 0 0 46 72 0 0 0 47 71 0 0 0 47 73 0 0 0 47 74 0 0 0 48 75 0 0 0 48 76 0 0 0 49 68 0 0 0 49 77 0 0 0 49 78 0 0 0 50 78 0 0 0 50 79 0 0 0 50 80 0 0 0 51 81 0 0 0 51 82 0 0 0 51 83 0 0 0 52 82 0 0 0 52 84 0 0 0 52 85 0 0 0 53 84 0 0 0 53 86 0 0 0 54 87 0 0 0 54 88 0 0 0 55 89 0 0 0 55 90 0 0 0 55 91 0 0 0 56 92 0 0 0 57 58 0 0 0 57 91 0 0 0 58 93 0 0 0 59 94 0 0 0 59 95 0 0 0 60 96 0 0 0 61 62 0 0 0 61 97 0 0 0 62 98 0 0 0 63 64 0 0 0 63 75 1 0 0 64 99 0 0 0 65 72 0 1 0 65 93 0 0 0 66 81 0 0 1 66 82 0 0 1 66 99 0 0 0 67 70 -1 1 0 67 100 0 0 0 68 101 0 0 0 68 102 0 0 0 69 102 0 0 0 69 103 0 0 0 69 104 0 0 0 70 98 0 0 0 71 105 0 0 0 71 106 0 0 0 72 107 0 0 0 73 89 0 -1 1 73 105 0 0 0 73 108 0 0 0 74 89 0 -1 1 74 90 0 -1 1 74 109 0 0 0 75 88 0 0 0 76 77 0 0 0 76 110 0 0 0 77 110 0 0 0 78 97 -1 0 1 78 111 0 0 0 79 109 0 0 0 79 112 0 0 0 80 97 -1 0 1 80 104 0 0 0 80 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 116 0 0 0 83 117 0 0 0 83 118 0 0 0 84 119 0 0 0 84 120 0 0 0 85 87 0 0 0 85 121 0 0 0 86 115 0 0 0 86 119 0 0 0 86 122 0 0 0 87 121 0 0 0 88 95 -1 0 0 89 118 0 0 0 90 123 0 0 0 90 124 0 0 0 91 123 0 0 0 91 125 0 0 0 92 98 -1 1 0 92 126 0 0 0 93 96 0 1 0 94 95 0 0 0 94 127 0 0 0 96 128 0 0 0 97 127 0 0 0 99 115 0 0 1 99 119 0 0 1 100 101 0 0 0 100 129 0 0 0 101 129 0 0 0 102 127 -1 0 1 102 130 0 0 0 103 116 0 0 1 103 131 0 0 0 104 121 0 0 1 104 127 -1 0 1 105 125 0 -1 1 105 129 1 -1 0 106 123 0 -1 1 106 125 0 -1 1 106 132 0 0 0 107 108 0 0 0 107 114 0 -1 1 108 114 0 -1 1 109 112 0 0 0 110 115 -1 0 1 111 122 -1 0 1 111 133 0 0 0 112 134 0 0 0 113 124 0 -1 1 113 126 0 -1 1 116 131 0 0 -1 117 118 0 0 0 117 135 0 0 0 119 136 0 0 0 120 128 0 0 0 120 137 0 0 0 122 133 1 0 -1 123 137 0 1 0 124 126 0 0 0 125 138 0 0 0 128 137 0 0 0 130 138 -1 0 1 130 139 0 0 0 131 140 0 0 0 132 136 0 0 1 132 141 0 0 0 133 142 0 0 0 134 135 0 -1 1 134 142 0 0 0 135 140 0 0 -1 136 141 0 0 -1 138 139 1 0 -1 139 143 0 0 0 140 143 0 0 0 141 144 0 0 0 142 144 -1 0 0 143 144 -1 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
b7de7538f27859d114e7ffbf51af07d5 (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: 576 of 576 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. 576 of 576 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 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
1 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
2 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
3 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
4 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
5 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
6 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
7 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
8 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
9 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
10 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
11 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
12 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
13 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
14 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
15 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
16 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
17 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
18 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
19 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
20 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
21 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
22 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
23 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
24 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
25 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
26 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
27 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
28 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
29 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
30 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
31 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
32 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
33 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
34 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
35 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
36 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
37 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
38 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
39 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
40 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
41 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
42 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
43 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
44 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
45 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
46 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
47 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
48 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
49 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
50 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
51 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
52 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
53 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
54 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
55 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
56 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
57 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
58 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
59 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
60 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
61 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
62 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
63 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
64 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
65 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
66 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
67 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
68 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
69 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
70 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
71 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
72 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
73 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
74 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
75 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
76 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
77 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
78 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
79 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
80 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
81 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
82 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
83 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
84 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
85 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
86 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
87 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
88 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
89 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
90 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
91 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
92 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
93 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
94 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
95 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
96 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
97 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
98 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
99 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
100 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
101 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
102 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
103 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
104 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
105 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
106 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
107 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
108 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
109 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
110 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
111 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
112 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
113 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
114 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
115 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
116 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
117 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
118 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
119 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
120 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
121 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
122 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
123 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
124 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
125 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
126 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
127 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
128 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
129 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
130 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
131 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
132 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
133 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
134 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
135 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
136 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
137 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
138 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
139 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
140 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
141 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
142 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
143 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
144 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
145 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
146 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
147 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
148 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
149 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
150 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
151 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
152 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
153 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
154 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
155 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
156 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
157 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
158 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
159 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
160 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
161 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
162 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
163 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
164 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
165 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
166 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
167 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
168 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
169 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
170 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
171 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
172 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
173 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
174 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
175 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
176 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
177 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
178 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
179 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
180 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
181 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
182 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
183 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
184 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
185 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
186 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
187 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
188 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
189 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
190 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
191 4 14.4.6(2).8.8.104 9 15 21 30 44 60 74 86 106
192 3 13.8.83 5 12 22 29 40 48 68 92 112
193 3 13.8.83 5 12 22 29 40 48 68 92 112
194 3 13.8.83 5 12 22 29 40 48 68 92 112
195 3 13.8.83 5 12 22 29 40 48 68 92 112
196 3 13.8.83 5 12 22 29 40 48 68 92 112
197 3 13.8.83 5 12 22 29 40 48 68 92 112
198 3 13.8.83 5 12 22 29 40 48 68 92 112
199 3 13.8.83 5 12 22 29 40 48 68 92 112
200 3 13.8.83 5 12 22 29 40 48 68 92 112
201 3 13.8.83 5 12 22 29 40 48 68 92 112
202 3 13.8.83 5 12 22 29 40 48 68 92 112
203 3 13.8.83 5 12 22 29 40 48 68 92 112
204 3 13.8.83 5 12 22 29 40 48 68 92 112
205 3 13.8.83 5 12 22 29 40 48 68 92 112
206 3 13.8.83 5 12 22 29 40 48 68 92 112
207 3 13.8.83 5 12 22 29 40 48 68 92 112
208 3 13.8.83 5 12 22 29 40 48 68 92 112
209 3 13.8.83 5 12 22 29 40 48 68 92 112
210 3 13.8.83 5 12 22 29 40 48 68 92 112
211 3 13.8.83 5 12 22 29 40 48 68 92 112
212 3 13.8.83 5 12 22 29 40 48 68 92 112
213 3 13.8.83 5 12 22 29 40 48 68 92 112
214 3 13.8.83 5 12 22 29 40 48 68 92 112
215 3 13.8.83 5 12 22 29 40 48 68 92 112
216 3 13.8.83 5 12 22 29 40 48 68 92 112
217 3 13.8.83 5 12 22 29 40 48 68 92 112
218 3 13.8.83 5 12 22 29 40 48 68 92 112
219 3 13.8.83 5 12 22 29 40 48 68 92 112
220 3 13.8.83 5 12 22 29 40 48 68 92 112
221 3 13.8.83 5 12 22 29 40 48 68 92 112
222 3 13.8.83 5 12 22 29 40 48 68 92 112
223 3 13.8.83 5 12 22 29 40 48 68 92 112
224 3 13.8.83 5 12 22 29 40 48 68 92 112
225 3 13.8.83 5 12 22 29 40 48 68 92 112
226 3 13.8.83 5 12 22 29 40 48 68 92 112
227 3 13.8.83 5 12 22 29 40 48 68 92 112
228 3 13.8.83 5 12 22 29 40 48 68 92 112
229 3 13.8.83 5 12 22 29 40 48 68 92 112
230 3 13.8.83 5 12 22 29 40 48 68 92 112
231 3 13.8.83 5 12 22 29 40 48 68 92 112
232 3 13.8.83 5 12 22 29 40 48 68 92 112
233 3 13.8.83 5 12 22 29 40 48 68 92 112
234 3 13.8.83 5 12 22 29 40 48 68 92 112
235 3 13.8.83 5 12 22 29 40 48 68 92 112
236 3 13.8.83 5 12 22 29 40 48 68 92 112
237 3 13.8.83 5 12 22 29 40 48 68 92 112
238 3 13.8.83 5 12 22 29 40 48 68 92 112
239 3 13.8.83 5 12 22 29 40 48 68 92 112
240 3 13.8.83 5 12 22 29 40 48 68 92 112
241 3 13.8.83 5 12 22 29 40 48 68 92 112
242 3 13.8.83 5 12 22 29 40 48 68 92 112
243 3 13.8.83 5 12 22 29 40 48 68 92 112
244 3 13.8.83 5 12 22 29 40 48 68 92 112
245 3 13.8.83 5 12 22 29 40 48 68 92 112
246 3 13.8.83 5 12 22 29 40 48 68 92 112
247 3 13.8.83 5 12 22 29 40 48 68 92 112
248 3 13.8.83 5 12 22 29 40 48 68 92 112
249 3 13.8.83 5 12 22 29 40 48 68 92 112
250 3 13.8.83 5 12 22 29 40 48 68 92 112
251 3 13.8.83 5 12 22 29 40 48 68 92 112
252 3 13.8.83 5 12 22 29 40 48 68 92 112
253 3 13.8.83 5 12 22 29 40 48 68 92 112
254 3 13.8.83 5 12 22 29 40 48 68 92 112
255 3 13.8.83 5 12 22 29 40 48 68 92 112
256 3 13.8.83 5 12 22 29 40 48 68 92 112
257 3 13.8.83 5 12 22 29 40 48 68 92 112
258 3 13.8.83 5 12 22 29 40 48 68 92 112
259 3 13.8.83 5 12 22 29 40 48 68 92 112
260 3 13.8.83 5 12 22 29 40 48 68 92 112
261 3 13.8.83 5 12 22 29 40 48 68 92 112
262 3 13.8.83 5 12 22 29 40 48 68 92 112
263 3 13.8.83 5 12 22 29 40 48 68 92 112
264 3 13.8.83 5 12 22 29 40 48 68 92 112
265 3 13.8.83 5 12 22 29 40 48 68 92 112
266 3 13.8.83 5 12 22 29 40 48 68 92 112
267 3 13.8.83 5 12 22 29 40 48 68 92 112
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277 3 13.8.83 5 12 22 29 40 48 68 92 112
278 3 13.8.83 5 12 22 29 40 48 68 92 112
279 3 13.8.83 5 12 22 29 40 48 68 92 112
280 3 13.8.83 5 12 22 29 40 48 68 92 112
281 3 13.8.83 5 12 22 29 40 48 68 92 112
282 3 13.8.83 5 12 22 29 40 48 68 92 112
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284 3 13.8.83 5 12 22 29 40 48 68 92 112
285 3 13.8.83 5 12 22 29 40 48 68 92 112
286 3 13.8.83 5 12 22 29 40 48 68 92 112
287 3 13.8.83 5 12 22 29 40 48 68 92 112
288 3 13.8.83 5 12 22 29 40 48 68 92 112
289 3 13.8.83 5 12 22 29 40 48 68 92 112
290 3 13.8.83 5 12 22 29 40 48 68 92 112
291 3 13.8.83 5 12 22 29 40 48 68 92 112
292 3 13.8.83 5 12 22 29 40 48 68 92 112
293 3 13.8.83 5 12 22 29 40 48 68 92 112
294 3 13.8.83 5 12 22 29 40 48 68 92 112
295 3 13.8.83 5 12 22 29 40 48 68 92 112
296 3 13.8.83 5 12 22 29 40 48 68 92 112
297 3 13.8.83 5 12 22 29 40 48 68 92 112
298 3 13.8.83 5 12 22 29 40 48 68 92 112
299 3 13.8.83 5 12 22 29 40 48 68 92 112
300 3 13.8.83 5 12 22 29 40 48 68 92 112
301 3 13.8.83 5 12 22 29 40 48 68 92 112
302 3 13.8.83 5 12 22 29 40 48 68 92 112
303 3 13.8.83 5 12 22 29 40 48 68 92 112
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305 3 13.8.83 5 12 22 29 40 48 68 92 112
306 3 13.8.83 5 12 22 29 40 48 68 92 112
307 3 13.8.83 5 12 22 29 40 48 68 92 112
308 3 13.8.83 5 12 22 29 40 48 68 92 112
309 3 13.8.83 5 12 22 29 40 48 68 92 112
310 3 13.8.83 5 12 22 29 40 48 68 92 112
311 3 13.8.83 5 12 22 29 40 48 68 92 112
312 3 13.8.83 5 12 22 29 40 48 68 92 112
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314 3 13.8.83 5 12 22 29 40 48 68 92 112
315 3 13.8.83 5 12 22 29 40 48 68 92 112
316 3 13.8.83 5 12 22 29 40 48 68 92 112
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318 3 13.8.83 5 12 22 29 40 48 68 92 112
319 3 13.8.83 5 12 22 29 40 48 68 92 112
320 3 13.8.83 5 12 22 29 40 48 68 92 112
321 3 13.8.83 5 12 22 29 40 48 68 92 112
322 3 13.8.83 5 12 22 29 40 48 68 92 112
323 3 13.8.83 5 12 22 29 40 48 68 92 112
324 3 13.8.83 5 12 22 29 40 48 68 92 112
325 3 13.8.83 5 12 22 29 40 48 68 92 112
326 3 13.8.83 5 12 22 29 40 48 68 92 112
327 3 13.8.83 5 12 22 29 40 48 68 92 112
328 3 13.8.83 5 12 22 29 40 48 68 92 112
329 3 13.8.83 5 12 22 29 40 48 68 92 112
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337 3 13.8.83 5 12 22 29 40 48 68 92 112
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339 3 13.8.83 5 12 22 29 40 48 68 92 112
340 3 13.8.83 5 12 22 29 40 48 68 92 112
341 3 13.8.83 5 12 22 29 40 48 68 92 112
342 3 13.8.83 5 12 22 29 40 48 68 92 112
343 3 13.8.83 5 12 22 29 40 48 68 92 112
344 3 13.8.83 5 12 22 29 40 48 68 92 112
345 3 13.8.83 5 12 22 29 40 48 68 92 112
346 3 13.8.83 5 12 22 29 40 48 68 92 112
347 3 13.8.83 5 12 22 29 40 48 68 92 112
348 3 13.8.83 5 12 22 29 40 48 68 92 112
349 3 13.8.83 5 12 22 29 40 48 68 92 112
350 3 13.8.83 5 12 22 29 40 48 68 92 112
351 3 13.8.83 5 12 22 29 40 48 68 92 112
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368 3 13.8.83 5 12 22 29 40 48 68 92 112
369 3 13.8.83 5 12 22 29 40 48 68 92 112
370 3 13.8.83 5 12 22 29 40 48 68 92 112
371 3 13.8.83 5 12 22 29 40 48 68 92 112
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373 3 13.8.83 5 12 22 29 40 48 68 92 112
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376 3 13.8.83 5 12 22 29 40 48 68 92 112
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380 3 13.8.83 5 12 22 29 40 48 68 92 112
381 3 13.8.83 5 12 22 29 40 48 68 92 112
382 3 13.8.83 5 12 22 29 40 48 68 92 112
383 3 13.8.83 5 12 22 29 40 48 68 92 112
384 3 m3.8.83 4 10 19 26 39 48 70 95 114
385 3 m3.8.83 4 10 19 26 39 48 70 95 114
386 3 m3.8.83 4 10 19 26 39 48 70 95 114
387 3 m3.8.83 4 10 19 26 39 48 70 95 114
388 3 m3.8.83 4 10 19 26 39 48 70 95 114
389 3 m3.8.83 4 10 19 26 39 48 70 95 114
390 3 m3.8.83 4 10 19 26 39 48 70 95 114
391 3 m3.8.83 4 10 19 26 39 48 70 95 114
392 3 m3.8.83 4 10 19 26 39 48 70 95 114
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396 3 m3.8.83 4 10 19 26 39 48 70 95 114
397 3 m3.8.83 4 10 19 26 39 48 70 95 114
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399 3 m3.8.83 4 10 19 26 39 48 70 95 114
400 3 m3.8.83 4 10 19 26 39 48 70 95 114
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403 3 m3.8.83 4 10 19 26 39 48 70 95 114
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405 3 m3.8.83 4 10 19 26 39 48 70 95 114
406 3 m3.8.83 4 10 19 26 39 48 70 95 114
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409 3 m3.8.83 4 10 19 26 39 48 70 95 114
410 3 m3.8.83 4 10 19 26 39 48 70 95 114
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412 3 m3.8.83 4 10 19 26 39 48 70 95 114
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415 3 m3.8.83 4 10 19 26 39 48 70 95 114
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418 3 m3.8.83 4 10 19 26 39 48 70 95 114
419 3 m3.8.83 4 10 19 26 39 48 70 95 114
420 3 m3.8.83 4 10 19 26 39 48 70 95 114
421 3 m3.8.83 4 10 19 26 39 48 70 95 114
422 3 m3.8.83 4 10 19 26 39 48 70 95 114
423 3 m3.8.83 4 10 19 26 39 48 70 95 114
424 3 m3.8.83 4 10 19 26 39 48 70 95 114
425 3 m3.8.83 4 10 19 26 39 48 70 95 114
426 3 m3.8.83 4 10 19 26 39 48 70 95 114
427 3 m3.8.83 4 10 19 26 39 48 70 95 114
428 3 m3.8.83 4 10 19 26 39 48 70 95 114
429 3 m3.8.83 4 10 19 26 39 48 70 95 114
430 3 m3.8.83 4 10 19 26 39 48 70 95 114
431 3 m3.8.83 4 10 19 26 39 48 70 95 114
432 3 m3.8.83 4 10 19 26 39 48 70 95 114
433 3 m3.8.83 4 10 19 26 39 48 70 95 114
434 3 m3.8.83 4 10 19 26 39 48 70 95 114
435 3 m3.8.83 4 10 19 26 39 48 70 95 114
436 3 m3.8.83 4 10 19 26 39 48 70 95 114
437 3 m3.8.83 4 10 19 26 39 48 70 95 114
438 3 m3.8.83 4 10 19 26 39 48 70 95 114
439 3 m3.8.83 4 10 19 26 39 48 70 95 114
440 3 m3.8.83 4 10 19 26 39 48 70 95 114
441 3 m3.8.83 4 10 19 26 39 48 70 95 114
442 3 m3.8.83 4 10 19 26 39 48 70 95 114
443 3 m3.8.83 4 10 19 26 39 48 70 95 114
444 3 m3.8.83 4 10 19 26 39 48 70 95 114
445 3 m3.8.83 4 10 19 26 39 48 70 95 114
446 3 m3.8.83 4 10 19 26 39 48 70 95 114
447 3 m3.8.83 4 10 19 26 39 48 70 95 114
448 3 m3.8.83 4 10 19 26 39 48 70 95 114
449 3 m3.8.83 4 10 19 26 39 48 70 95 114
450 3 m3.8.83 4 10 19 26 39 48 70 95 114
451 3 m3.8.83 4 10 19 26 39 48 70 95 114
452 3 m3.8.83 4 10 19 26 39 48 70 95 114
453 3 m3.8.83 4 10 19 26 39 48 70 95 114
454 3 m3.8.83 4 10 19 26 39 48 70 95 114
455 3 m3.8.83 4 10 19 26 39 48 70 95 114
456 3 m3.8.83 4 10 19 26 39 48 70 95 114
457 3 m3.8.83 4 10 19 26 39 48 70 95 114
458 3 m3.8.83 4 10 19 26 39 48 70 95 114
459 3 m3.8.83 4 10 19 26 39 48 70 95 114
460 3 m3.8.83 4 10 19 26 39 48 70 95 114
461 3 m3.8.83 4 10 19 26 39 48 70 95 114
462 3 m3.8.83 4 10 19 26 39 48 70 95 114
463 3 m3.8.83 4 10 19 26 39 48 70 95 114
464 3 m3.8.83 4 10 19 26 39 48 70 95 114
465 3 m3.8.83 4 10 19 26 39 48 70 95 114
466 3 m3.8.83 4 10 19 26 39 48 70 95 114
467 3 m3.8.83 4 10 19 26 39 48 70 95 114
468 3 m3.8.83 4 10 19 26 39 48 70 95 114
469 3 m3.8.83 4 10 19 26 39 48 70 95 114
470 3 m3.8.83 4 10 19 26 39 48 70 95 114
471 3 m3.8.83 4 10 19 26 39 48 70 95 114
472 3 m3.8.83 4 10 19 26 39 48 70 95 114
473 3 m3.8.83 4 10 19 26 39 48 70 95 114
474 3 m3.8.83 4 10 19 26 39 48 70 95 114
475 3 m3.8.83 4 10 19 26 39 48 70 95 114
476 3 m3.8.83 4 10 19 26 39 48 70 95 114
477 3 m3.8.83 4 10 19 26 39 48 70 95 114
478 3 m3.8.83 4 10 19 26 39 48 70 95 114
479 3 m3.8.83 4 10 19 26 39 48 70 95 114
480 3 m6.8.83 6 9 13 22 37 57 76 93 112
481 3 m6.8.83 6 9 13 22 37 57 76 93 112
482 3 m6.8.83 6 9 13 22 37 57 76 93 112
483 3 m6.8.83 6 9 13 22 37 57 76 93 112
484 3 m6.8.83 6 9 13 22 37 57 76 93 112
485 3 m6.8.83 6 9 13 22 37 57 76 93 112
486 3 m6.8.83 6 9 13 22 37 57 76 93 112
487 3 m6.8.83 6 9 13 22 37 57 76 93 112
488 3 m6.8.83 6 9 13 22 37 57 76 93 112
489 3 m6.8.83 6 9 13 22 37 57 76 93 112
490 3 m6.8.83 6 9 13 22 37 57 76 93 112
491 3 m6.8.83 6 9 13 22 37 57 76 93 112
492 3 m6.8.83 6 9 13 22 37 57 76 93 112
493 3 m6.8.83 6 9 13 22 37 57 76 93 112
494 3 m6.8.83 6 9 13 22 37 57 76 93 112
495 3 m6.8.83 6 9 13 22 37 57 76 93 112
496 3 m6.8.83 6 9 13 22 37 57 76 93 112
497 3 m6.8.83 6 9 13 22 37 57 76 93 112
498 3 m6.8.83 6 9 13 22 37 57 76 93 112
499 3 m6.8.83 6 9 13 22 37 57 76 93 112
500 3 m6.8.83 6 9 13 22 37 57 76 93 112
501 3 m6.8.83 6 9 13 22 37 57 76 93 112
502 3 m6.8.83 6 9 13 22 37 57 76 93 112
503 3 m6.8.83 6 9 13 22 37 57 76 93 112
504 3 m6.8.83 6 9 13 22 37 57 76 93 112
505 3 m6.8.83 6 9 13 22 37 57 76 93 112
506 3 m6.8.83 6 9 13 22 37 57 76 93 112
507 3 m6.8.83 6 9 13 22 37 57 76 93 112
508 3 m6.8.83 6 9 13 22 37 57 76 93 112
509 3 m6.8.83 6 9 13 22 37 57 76 93 112
510 3 m6.8.83 6 9 13 22 37 57 76 93 112
511 3 m6.8.83 6 9 13 22 37 57 76 93 112
512 3 m6.8.83 6 9 13 22 37 57 76 93 112
513 3 m6.8.83 6 9 13 22 37 57 76 93 112
514 3 m6.8.83 6 9 13 22 37 57 76 93 112
515 3 m6.8.83 6 9 13 22 37 57 76 93 112
516 3 m6.8.83 6 9 13 22 37 57 76 93 112
517 3 m6.8.83 6 9 13 22 37 57 76 93 112
518 3 m6.8.83 6 9 13 22 37 57 76 93 112
519 3 m6.8.83 6 9 13 22 37 57 76 93 112
520 3 m6.8.83 6 9 13 22 37 57 76 93 112
521 3 m6.8.83 6 9 13 22 37 57 76 93 112
522 3 m6.8.83 6 9 13 22 37 57 76 93 112
523 3 m6.8.83 6 9 13 22 37 57 76 93 112
524 3 m6.8.83 6 9 13 22 37 57 76 93 112
525 3 m6.8.83 6 9 13 22 37 57 76 93 112
526 3 m6.8.83 6 9 13 22 37 57 76 93 112
527 3 m6.8.83 6 9 13 22 37 57 76 93 112
528 3 m6.8.83 6 9 13 22 37 57 76 93 112
529 3 m6.8.83 6 9 13 22 37 57 76 93 112
530 3 m6.8.83 6 9 13 22 37 57 76 93 112
531 3 m6.8.83 6 9 13 22 37 57 76 93 112
532 3 m6.8.83 6 9 13 22 37 57 76 93 112
533 3 m6.8.83 6 9 13 22 37 57 76 93 112
534 3 m6.8.83 6 9 13 22 37 57 76 93 112
535 3 m6.8.83 6 9 13 22 37 57 76 93 112
536 3 m6.8.83 6 9 13 22 37 57 76 93 112
537 3 m6.8.83 6 9 13 22 37 57 76 93 112
538 3 m6.8.83 6 9 13 22 37 57 76 93 112
539 3 m6.8.83 6 9 13 22 37 57 76 93 112
540 3 m6.8.83 6 9 13 22 37 57 76 93 112
541 3 m6.8.83 6 9 13 22 37 57 76 93 112
542 3 m6.8.83 6 9 13 22 37 57 76 93 112
543 3 m6.8.83 6 9 13 22 37 57 76 93 112
544 3 m6.8.83 6 9 13 22 37 57 76 93 112
545 3 m6.8.83 6 9 13 22 37 57 76 93 112
546 3 m6.8.83 6 9 13 22 37 57 76 93 112
547 3 m6.8.83 6 9 13 22 37 57 76 93 112
548 3 m6.8.83 6 9 13 22 37 57 76 93 112
549 3 m6.8.83 6 9 13 22 37 57 76 93 112
550 3 m6.8.83 6 9 13 22 37 57 76 93 112
551 3 m6.8.83 6 9 13 22 37 57 76 93 112
552 3 m6.8.83 6 9 13 22 37 57 76 93 112
553 3 m6.8.83 6 9 13 22 37 57 76 93 112
554 3 m6.8.83 6 9 13 22 37 57 76 93 112
555 3 m6.8.83 6 9 13 22 37 57 76 93 112
556 3 m6.8.83 6 9 13 22 37 57 76 93 112
557 3 m6.8.83 6 9 13 22 37 57 76 93 112
558 3 m6.8.83 6 9 13 22 37 57 76 93 112
559 3 m6.8.83 6 9 13 22 37 57 76 93 112
560 3 m6.8.83 6 9 13 22 37 57 76 93 112
561 3 m6.8.83 6 9 13 22 37 57 76 93 112
562 3 m6.8.83 6 9 13 22 37 57 76 93 112
563 3 m6.8.83 6 9 13 22 37 57 76 93 112
564 3 m6.8.83 6 9 13 22 37 57 76 93 112
565 3 m6.8.83 6 9 13 22 37 57 76 93 112
566 3 m6.8.83 6 9 13 22 37 57 76 93 112
567 3 m6.8.83 6 9 13 22 37 57 76 93 112
568 3 m6.8.83 6 9 13 22 37 57 76 93 112
569 3 m6.8.83 6 9 13 22 37 57 76 93 112
570 3 m6.8.83 6 9 13 22 37 57 76 93 112
571 3 m6.8.83 6 9 13 22 37 57 76 93 112
572 3 m6.8.83 6 9 13 22 37 57 76 93 112
573 3 m6.8.83 6 9 13 22 37 57 76 93 112
574 3 m6.8.83 6 9 13 22 37 57 76 93 112
575 3 m6.8.83 6 9 13 22 37 57 76 93 112

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)
4, 8 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)
epw-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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 31 0 0 0 28 48 0 0 0 29 43 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 30 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 53 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 63 0 0 0 39 64 0 0 0 40 41 0 0 0 40 65 0 0 0 41 66 0 0 0 42 56 0 0 0 42 67 0 0 0 43 68 0 0 0 43 69 0 0 0 44 45 0 0 0 44 70 0 0 0 45 71 0 0 0 46 60 0 0 0 46 72 0 0 0 47 71 0 0 0 47 73 0 0 0 47 74 0 0 0 48 75 0 0 0 48 76 0 0 0 49 68 0 0 0 49 77 0 0 0 49 78 0 0 0 50 78 0 0 0 50 79 0 0 0 50 80 0 0 0 51 81 0 0 0 51 82 0 0 0 51 83 0 0 0 52 82 0 0 0 52 84 0 0 0 52 85 0 0 0 53 84 0 0 0 53 86 0 0 0 54 87 0 0 0 54 88 0 0 0 55 89 0 0 0 55 90 0 0 0 55 91 0 0 0 56 92 0 0 0 57 58 0 0 0 57 91 0 0 0 58 93 0 0 0 59 94 0 0 0 59 95 0 0 0 60 96 0 0 0 61 62 0 0 0 61 97 0 0 0 62 98 0 0 0 63 64 0 0 0 63 75 1 0 0 64 99 0 0 0 65 72 0 1 0 65 93 0 0 0 66 81 0 0 1 66 82 0 0 1 66 99 0 0 0 67 70 -1 1 0 67 100 0 0 0 68 101 0 0 0 68 102 0 0 0 69 102 0 0 0 69 103 0 0 0 69 104 0 0 0 70 98 0 0 0 71 105 0 0 0 71 106 0 0 0 72 107 0 0 0 73 89 0 -1 1 73 105 0 0 0 73 108 0 0 0 74 89 0 -1 1 74 90 0 -1 1 74 109 0 0 0 75 88 0 0 0 76 77 0 0 0 76 110 0 0 0 77 110 0 0 0 78 97 -1 0 1 78 111 0 0 0 79 109 0 0 0 79 112 0 0 0 80 97 -1 0 1 80 104 0 0 0 80 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 116 0 0 0 83 117 0 0 0 83 118 0 0 0 84 119 0 0 0 84 120 0 0 0 85 87 0 0 0 85 121 0 0 0 86 115 0 0 0 86 119 0 0 0 86 122 0 0 0 87 121 0 0 0 88 95 -1 0 0 89 118 0 0 0 90 123 0 0 0 90 124 0 0 0 91 123 0 0 0 91 125 0 0 0 92 98 -1 1 0 92 126 0 0 0 93 96 0 1 0 94 95 0 0 0 94 127 0 0 0 96 128 0 0 0 97 127 0 0 0 99 115 0 0 1 99 119 0 0 1 100 101 0 0 0 100 129 0 0 0 101 129 0 0 0 102 127 -1 0 1 102 130 0 0 0 103 116 0 0 1 103 131 0 0 0 104 121 0 0 1 104 127 -1 0 1 105 125 0 -1 1 105 129 1 -1 0 106 123 0 -1 1 106 125 0 -1 1 106 132 0 0 0 107 108 0 0 0 107 114 0 -1 1 108 114 0 -1 1 109 112 0 0 0 110 115 -1 0 1 111 122 -1 0 1 111 133 0 0 0 112 134 0 0 0 113 124 0 -1 1 113 126 0 -1 1 116 131 0 0 -1 117 118 0 0 0 117 135 0 0 0 119 136 0 0 0 120 128 0 0 0 120 137 0 0 0 122 133 1 0 -1 123 137 0 1 0 124 126 0 0 0 125 138 0 0 0 128 137 0 0 0 130 138 -1 0 1 130 139 0 0 0 131 140 0 0 0 132 136 0 0 1 132 141 0 0 0 133 142 0 0 0 134 135 0 -1 1 134 142 0 0 0 135 140 0 0 -1 136 141 0 0 -1 138 139 1 0 -1 139 143 0 0 0 140 143 0 0 0 141 144 0 0 0 142 144 -1 0 0 143 144 -1 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
437
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)
437.0
Genus (mofplus-deposit)
97
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)
437.0
Genus (rcsr-archive-key)
97
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)
(3.8^2)3(6.8^2)(4^2.6.8^2.10)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, 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, 95, 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, 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, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1914.4.6(2).8.8.10 4.4.6.8.8.12 4^2.6.8^2.10 4 9 15 21 30 44 60 74 86 106
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, 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, 3833.8.8 3.8.8 3.8^2 3 5 12 22 29 40 48 68 92 112
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, 415, 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, 447, 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, 4793.8.8 3.8.8 3.8^2 3 4 10 19 26 39 48 70 95 114
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, 543, 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, 5756.8.8 6.8.8 6.8^2 3 6 9 13 22 37 57 76 93 112

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(6.8^2)(4^2.6.8^2.10)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, 1, 2, 3, 6, 7, 8, 10, 17, 19, 20, 28, 29, 34, 42, 46, 48, 49, 50, 51, 52, 54, 65, 67, 68, 70, 72, 73, 77, 79, 80, 81, 83, 85, 88, 89, 90, 96, 98, 101, 103, 104, 105, 114, 118, 122, 124, 1264.4.6(2).8.8.10 4.4.6.8.8.12 4^2.6.8^2.10 4 9 15 21 30 44 60 74 86 106
4, 5, 9, 11, 13, 14, 16, 18, 21, 23, 24, 26, 31, 33, 35, 37, 38, 40, 44, 56, 58, 60, 63, 76, 78, 82, 84, 93, 100, 102, 107, 108, 109, 110, 112, 113, 115, 117, 119, 120, 121, 123, 128, 129, 131, 135, 136, 1373.8.8 3.8.8 3.8^2 3 5 12 22 29 40 48 68 92 112
12, 15, 22, 25, 32, 36, 39, 43, 57, 61, 62, 75, 86, 94, 99, 106, 111, 116, 125, 127, 130, 132, 138, 1403.8.8 3.8.8 3.8^2 3 4 10 19 26 39 48 70 95 114
27, 30, 41, 45, 47, 53, 55, 59, 64, 66, 69, 71, 74, 87, 91, 92, 95, 97, 133, 134, 139, 141, 142, 1436.8.8 6.8.8 6.8^2 3 6 9 13 22 37 57 76 93 112

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 576 of 576 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 576 of 576 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
epw-a
Retrieved
2026-09-08
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
619 (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
2429 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.