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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 19 representatives of OT(9,8), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
111111112
222222233
333333444
444445555
555566666
666777777
778888888
899999999
OT(9,8, 1) = +-+-+-+--
OT(9,8, 2) = +-+-+-++-
OT(9,8, 3) = ++--+-+++
OT(9,8, 4) = +------+-
OT(9,8, 5) = 0+-+---+-
OT(9,8, 6) = 0+-+-----
OT(9,8, 7) = 0+++-++++
OT(9,8, 8) = 0+----+++
OT(9,8, 9) = 00+-+---+
OT(9,8,10) = 00+-+----
OT(9,8,11) = 00++---++
OT(9,8,12) = 000+-+++-
OT(9,8,13) = 000++-+++
OT(9,8,14) = 000+--+++
OT(9,8,15) = 0000+---+
OT(9,8,16) = 0000++-++
OT(9,8,17) = 00000+++-
OT(9,8,18) = 00000++--
OT(9,8,19) = 000000+++
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