Catalog of Point Configurations

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

Cardinality = 6, rank = 4 (dimension = 3)

List of the 55 representatives of OT(6,4), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.


Note: The representation of the abstract order type is not lexicographically maximal.



             111121112112123
             222332233233444
             334443444555555
             455556666666666
OT(6,4, 1) = ++++----+--+-++
OT(6,4, 2) = ++--+-++-++--++
OT(6,4, 3) = ++-+++-++-++--+
OT(6,4, 4) = +--------++++++
OT(6,4, 5) = 0+-++-+--+--++-
OT(6,4, 6) = 0+----++++++---
OT(6,4, 7) = 0+++----+--+-++
OT(6,4, 8) = 0++-+++-++-+-+-
OT(6,4, 9) = 0+---+------+++
OT(6,4,10) = 0+--+-++-++--++
OT(6,4,11) = 0++++----------
OT(6,4,12) = 0++----+++----+
OT(6,4,13) = 0++++----++++++
OT(6,4,14) = 0+--++--+--++--
OT(6,4,15) = 0++--++---++++-
OT(6,4,16) = 0++++++++------
OT(6,4,17) = 0+++----+0-----
OT(6,4,18) = 0+-++-+--0+--+-
OT(6,4,19) = 0++----++0+-+-+
OT(6,4,20) = 0++-+++-+0++++-
OT(6,4,21) = 0+-++-+--0--++-
OT(6,4,22) = 0+----+++0--+++
OT(6,4,23) = 0+++-+++-0+-+--
OT(6,4,24) = 0+--+-++-0+--++
OT(6,4,25) = 0+---+---0--+++
OT(6,4,26) = 0++++----0+++++
OT(6,4,27) = 0++-+--+-0+-+-+
OT(6,4,28) = 0++--++--0----+
OT(6,4,29) = 0+--+-++-0+--+0
OT(6,4,30) = 0++++----0----0
OT(6,4,31) = 0+-++-+--0--++0
OT(6,4,32) = 0++++++++0----0
OT(6,4,33) = 00+--0-+++----+
OT(6,4,34) = 00+++0---++++++
OT(6,4,35) = 00++-0++-++--++
OT(6,4,36) = 00+--0-++-++--+
OT(6,4,37) = 00+++0------+++
OT(6,4,38) = 00+--0-+++--0-+
OT(6,4,39) = 00++-0--+++-0--
OT(6,4,40) = 00+--0+--+--0+-
OT(6,4,41) = 00+--0+--+--0-+
OT(6,4,42) = 00+++0+++---0++
OT(6,4,43) = 00++-0++-++-0++
OT(6,4,44) = 00+++0++++++000
OT(6,4,45) = 00000+++-++-+--
OT(6,4,46) = 00000++---++++-
OT(6,4,47) = 00000++++++++++
OT(6,4,48) = 000000++---+-++
OT(6,4,49) = 000000+++---+++
OT(6,4,50) = 000000+--+--++-
OT(6,4,51) = 000000++++++---
OT(6,4,52) = 000000+---++0+-
OT(6,4,53) = 000000+++---0++
OT(6,4,54) = 000000++++++0++
OT(6,4,55) = 000000000++++++



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