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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 24 representatives of OT(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
OT(10,9, 1) = +-+-+-+---
OT(10,9, 2) = +++-+---+-
OT(10,9, 3) = +-+-++----
OT(10,9, 4) = ++-+++----
OT(10,9, 5) = +++++++--+
OT(10,9, 6) = 0+-+-+-+--
OT(10,9, 7) = 0+-+-+-++-
OT(10,9, 8) = 0++--+-+++
OT(10,9, 9) = 0+------+-
OT(10,9,10) = 00+-+---+-
OT(10,9,11) = 00+-+-----
OT(10,9,12) = 00+++-++++
OT(10,9,13) = 00+----+++
OT(10,9,14) = 000+-+---+
OT(10,9,15) = 000+-+----
OT(10,9,16) = 000++---++
OT(10,9,17) = 0000+-+++-
OT(10,9,18) = 0000++-+++
OT(10,9,19) = 0000+--+++
OT(10,9,20) = 00000+---+
OT(10,9,21) = 00000++-++
OT(10,9,22) = 000000+++-
OT(10,9,23) = 000000++--
OT(10,9,24) = 0000000+++
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