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| Home | Catalog of Oriented Matroids | Catalog of Point Configurations | Catalog of Hyperplane Arrangements | Glossary |
The following table shows the number of abstract dissection types. Data can be accessed by clicking on the corresponding number (if available):
| card = 2 | card = 3 | card = 4 | card = 5 | card = 6 | card = 7 | card = 8 | card = 9 | card = 10 | |
|---|---|---|---|---|---|---|---|---|---|
| rank = 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| rank = 3 (dim = 2) | 1 | 3 | 8 | 46 | 790 | 37 829 | 4 134 939 | unknown | |
| rank = 4 (dim = 3) | 1 | 5 | 27 | 1 063 | 1 434 219 | unknown | unknown | ||
| rank = 5 (dim = 4) | 1 | 7 | 71 | 44 956 | unknown | unknown | |||
| rank = 6 (dim = 5) | 1 | 9 | 156 | unknown | unknown | ||||
| rank = 7 (dim = 6) | 1 | 11 | 325 | unknown | |||||
| rank = 8 (dim = 7) | 1 | 13 | 646 | ||||||
| rank = 9 (dim = 8) | 1 | 15 | |||||||
| rank = 10 (dim = 9) | 1 | ||||||||
List of the 11 representatives of DT(8,7), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
11111112
22222233
33333444
44445555
55566666
66777777
78888888
DT(8,7, 1) = ++++++++
DT(8,7, 2) = 0+++++++
DT(8,7, 3) = +0++++++
DT(8,7, 4) = 00++++++
DT(8,7, 5) = +00+++++
DT(8,7, 6) = 000+++++
DT(8,7, 7) = +000++++
DT(8,7, 8) = 0000++++
DT(8,7, 9) = +0000+++
DT(8,7,10) = 00000+++
DT(8,7,11) = +00000++
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