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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 order 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 | 11 | 93 | 2 121 | 122 508 | 15 296 266 | unknown | |
| rank = 4 (dim = 3) | 1 | 5 | 55 | 5 083 | 10 775 236 | unknown | unknown | ||
| rank = 5 (dim = 4) | 1 | 8 | 204 | 505 336 | unknown | unknown | |||
| rank = 6 (dim = 5) | 1 | 11 | 705 | unknown | unknown | ||||
| rank = 7 (dim = 6) | 1 | 15 | 2 293 | unknown | |||||
| rank = 8 (dim = 7) | 1 | 19 | 7 377 | ||||||
| rank = 9 (dim = 8) | 1 | 24 | |||||||
| rank = 10 (dim = 9) | 1 | ||||||||
List of the 15 representatives of OT(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
OT(8,7, 1) = +-+---+-
OT(8,7, 2) = +-+-----
OT(8,7, 3) = +++-++++
OT(8,7, 4) = +----+++
OT(8,7, 5) = 0+-+---+
OT(8,7, 6) = 0+-+----
OT(8,7, 7) = 0++---++
OT(8,7, 8) = 00+-+++-
OT(8,7, 9) = 00++-+++
OT(8,7,10) = 00+--+++
OT(8,7,11) = 000+---+
OT(8,7,12) = 000++-++
OT(8,7,13) = 0000+++-
OT(8,7,14) = 0000++--
OT(8,7,15) = 00000+++
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