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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 27 representatives of DT(6,4), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
111121112112123
222332233233444
334443444555555
455556666666666
DT(6,4, 1) = +++++++++++++++
DT(6,4, 2) = 0++++++++++++++
DT(6,4, 3) = +++++0++-++-+--
DT(6,4, 4) = +++++0+++++++++
DT(6,4, 5) = 0++++++++0+-+--
DT(6,4, 6) = +++++0++++++0--
DT(6,4, 7) = 0++++++++0+++++
DT(6,4, 8) = +++++0++++++0++
DT(6,4, 9) = 0++++++++0++++0
DT(6,4,10) = 00+++0+++++++++
DT(6,4,11) = +++++00+-0+-+--
DT(6,4,12) = +++++00++0+++++
DT(6,4,13) = 00+++0++++++0++
DT(6,4,14) = 0++++++++00+0++
DT(6,4,15) = +++++00++0++++0
DT(6,4,16) = 00+++0++++++000
DT(6,4,17) = 00000++++++++++
DT(6,4,18) = 0++++0000++++++
DT(6,4,19) = 000000+++++++++
DT(6,4,20) = 00+++0000++++++
DT(6,4,21) = 0++++00000+-+--
DT(6,4,22) = 0++++00000+++++
DT(6,4,23) = 000000++++++0++
DT(6,4,24) = 00+++0000+++0++
DT(6,4,25) = 0++++00000++++0
DT(6,4,26) = 000000000++++++
DT(6,4,27) = 00+++0000000+++
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