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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 93 representatives of OT(6,3), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
11121121231121231234
22332334442334445555
34445555556666666666
OT(6,3, 1) = +++-++-+--++-----+--
OT(6,3, 2) = ++--+----++--+-+++++
OT(6,3, 3) = ++++------------++--
OT(6,3, 4) = +++-++-+--++-+--+-++
OT(6,3, 5) = +--+--++----++--+-+-
OT(6,3, 6) = +------+++---+++++-+
OT(6,3, 7) = ++--+----++----+----
OT(6,3, 8) = +++-++-+--++-+--+--+
OT(6,3, 9) = +---+++------+++----
OT(6,3,10) = +++---+-++--+-+++--+
OT(6,3,11) = ++--+----++----+--+-
OT(6,3,12) = +------+++---+++++++
OT(6,3,13) = +++---+-++--+-+++---
OT(6,3,14) = ++++------------++++
OT(6,3,15) = ++++------++++++----
OT(6,3,16) = ++++++++++++++++++++
OT(6,3,17) = 0++-++-+----+-+-----
OT(6,3,18) = 0+++++++++-----+-+++
OT(6,3,19) = 0++++++---+++--+-++-
OT(6,3,20) = 0++-++--++++--+----+
OT(6,3,21) = 0+++------------++--
OT(6,3,22) = 0+--+----+-++++-++++
OT(6,3,23) = 0++-++-+----+-++-+--
OT(6,3,24) = 0+---++++-+----+++++
OT(6,3,25) = 0++---+-++--+-+++-++
OT(6,3,26) = 0+++---+++---+++--+-
OT(6,3,27) = 0++-++--++++--++-+-+
OT(6,3,28) = 0++-++-+--++-+--+-++
OT(6,3,29) = 0+++---++++++---++-+
OT(6,3,30) = 0+---++++--++++-----
OT(6,3,31) = 0+++++++++--------++
OT(6,3,32) = 0+--+----++----+----
OT(6,3,33) = 0+--+--++-+--++-+++-
OT(6,3,34) = 0++++++---+++-----+-
OT(6,3,35) = 0+++++++++++++++++--
OT(6,3,36) = 0++-++-+----+-++-+++
OT(6,3,37) = 0++---+-++--+-+++---
OT(6,3,38) = 0+--+----++----+--++
OT(6,3,39) = 0++-++-+--++-+--+---
OT(6,3,40) = 0+++------++++++----
OT(6,3,41) = 0+++++++++----------
OT(6,3,42) = 0+++------------++++
OT(6,3,43) = 0++++++---+++------+
OT(6,3,44) = 0+++++++++++++++++++
OT(6,3,45) = 0++-++-+----+-++-++0
OT(6,3,46) = 0++++++------++++++0
OT(6,3,47) = 0++++++---+++------0
OT(6,3,48) = 0+---++0+-+----++-++
OT(6,3,49) = 0+++---0++---+++-++-
OT(6,3,50) = 0+--+--0-++----+-+--
OT(6,3,51) = 0+++---0+++++---+--+
OT(6,3,52) = 0++++++0--+++----++-
OT(6,3,53) = 0++++++0++-------+++
OT(6,3,54) = 0++++++0+++++++++---
OT(6,3,55) = 0+---++0+-+----+++++
OT(6,3,56) = 0+---++0+--++++-----
OT(6,3,57) = 0+++---0++---+++--+-
OT(6,3,58) = 0+++---0+++++---++-+
OT(6,3,59) = 0+--+--0+-+--++-+++-
OT(6,3,60) = 0++++++0--+++-----+-
OT(6,3,61) = 0++-++-0++++--++-+-+
OT(6,3,62) = 0++++++0++--------++
OT(6,3,63) = 0++-++-0----+-++-+--
OT(6,3,64) = 0+---++0+--++++---+-
OT(6,3,65) = 0+--+--0-+-++++-++-+
OT(6,3,66) = 0++---+0++--+-+++--+
OT(6,3,67) = 0+++---0+++++---++++
OT(6,3,68) = 0++++++0-----+++++++
OT(6,3,69) = 0++++++0--+++-------
OT(6,3,70) = 0++-++-0++++--++-+++
OT(6,3,71) = 0++++++0++---------+
OT(6,3,72) = 0++-++-0----+-++-++-
OT(6,3,73) = 0+--+--0-+-++++0++++
OT(6,3,74) = 0++-++-0--++-+-0+-++
OT(6,3,75) = 0++-++-0----+-+0-+--
OT(6,3,76) = 0++++++0++-----0--++
OT(6,3,77) = 0++-++-0++++--+0-+-+
OT(6,3,78) = 0++++++0+++++++0+0--
OT(6,3,79) = 0++-++-0++++--0----+
OT(6,3,80) = 0++---+0++--+-0-++++
OT(6,3,81) = 0++++++0++----0+-+++
OT(6,3,82) = 0+--+--0-++---0--+--
OT(6,3,83) = 0000+----+-++++-++--
OT(6,3,84) = 0000++-+----+-++-+++
OT(6,3,85) = 0000++++++------++++
OT(6,3,86) = 0000+----++----+--++
OT(6,3,87) = 0000+++---+++------+
OT(6,3,88) = 0000++++++++++++----
OT(6,3,89) = 0000+----+-++++-0+--
OT(6,3,90) = 0000++++++------0+++
OT(6,3,91) = 0000+++---+++---0++-
OT(6,3,92) = 0000++++++++++++0---
OT(6,3,93) = 0000000000++++++++++
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