## Catalog of Hyperplane Arrangements

The following table shows the number of abstract dissection 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 8 46 790 37 829 4 134 939 unknown
rank = 4 (dim = 3) 1 5 27 1 063 1 434 219 unknown unknown
rank = 5 (dim = 4) 1 7 71 44 956 unknown unknown
rank = 6 (dim = 5) 1 9 156 unknown unknown
rank = 7 (dim = 6) 1 11 325 unknown
rank = 8 (dim = 7) 1 13 646
rank = 9 (dim = 8) 1 15
rank = 10 (dim = 9) 1

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

List of the 27 representatives of DT(6,4), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.

111121112112123
222332233233444
334443444555555
455556666666666
DT(6,4, 1) = +++++++++++++++
DT(6,4, 2) = 0++++++++++++++
DT(6,4, 3) = +++++0++-++-+--
DT(6,4, 4) = +++++0+++++++++
DT(6,4, 5) = 0++++++++0+-+--
DT(6,4, 6) = +++++0++++++0--
DT(6,4, 7) = 0++++++++0+++++
DT(6,4, 8) = +++++0++++++0++
DT(6,4, 9) = 0++++++++0++++0
DT(6,4,10) = 00+++0+++++++++
DT(6,4,11) = +++++00+-0+-+--
DT(6,4,12) = +++++00++0+++++
DT(6,4,13) = 00+++0++++++0++
DT(6,4,14) = 0++++++++00+0++
DT(6,4,15) = +++++00++0++++0
DT(6,4,16) = 00+++0++++++000
DT(6,4,17) = 00000++++++++++
DT(6,4,18) = 0++++0000++++++
DT(6,4,19) = 000000+++++++++
DT(6,4,20) = 00+++0000++++++
DT(6,4,21) = 0++++00000+-+--
DT(6,4,22) = 0++++00000+++++
DT(6,4,23) = 000000++++++0++
DT(6,4,24) = 00+++0000+++0++
DT(6,4,25) = 0++++00000++++0
DT(6,4,26) = 000000000++++++
DT(6,4,27) = 00+++0000000+++