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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 15 representatives of DT(10,9), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
1111111112
2222222233
3333333444
4444445555
5555566666
6666777777
7778888888
8899999999
9aaaaaaaaa
DT(10,9, 1) = ++++++++++
DT(10,9, 2) = 0+++++++++
DT(10,9, 3) = +0++++++++
DT(10,9, 4) = 00++++++++
DT(10,9, 5) = +00+++++++
DT(10,9, 6) = 000+++++++
DT(10,9, 7) = +000++++++
DT(10,9, 8) = 0000++++++
DT(10,9, 9) = +0000+++++
DT(10,9,10) = 00000+++++
DT(10,9,11) = +00000++++
DT(10,9,12) = 000000++++
DT(10,9,13) = +000000+++
DT(10,9,14) = 0000000+++
DT(10,9,15) = +0000000++
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