## 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 = 7, rank = 5 (dimension = 4)

List of the 71 representatives of DT(7,5), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.

111112111121112112123
222233222332233233444
333444334443444555555
445555455556666666666
566666777777777777777
DT(7,5, 1) = +++++++++++++++++++++
DT(7,5, 2) = 0++++++++++++++++++++
DT(7,5, 3) = ++++++0++--++--+----+
DT(7,5, 4) = ++++++0+++-+++-++-+--
DT(7,5, 5) = ++++++0++++++++++++++
DT(7,5, 6) = 0++++++++++0++-++-+--
DT(7,5, 7) = ++++++0++++++++0----+
DT(7,5, 8) = ++++++0++++++++0+-+--
DT(7,5, 9) = 0++++++++++0+++++++++
DT(7,5,10) = ++++++0+++-+++-0+-+--
DT(7,5,11) = ++++++0++++++++0+++++
DT(7,5,12) = 0++++++++++0++++++0--
DT(7,5,13) = 0++++++++++0++++++0++
DT(7,5,14) = ++++++0++++++++0++++0
DT(7,5,15) = 00++++0++++++++++++++
DT(7,5,16) = ++++++00++-0++-++-+--
DT(7,5,17) = ++++++00+++0+++++++++
DT(7,5,18) = 00++++0++++++++0+-+--
DT(7,5,19) = 0++++++++++00+-0+-+--
DT(7,5,20) = ++++++00+++0++++++0--
DT(7,5,21) = 00++++0++++++++0+++++
DT(7,5,22) = 0++++++++++00++0+++++
DT(7,5,23) = ++++++00++-0++-++-0--
DT(7,5,24) = ++++++00+++0++++++0++
DT(7,5,25) = 00++++0++++++++0++++0
DT(7,5,26) = 0++++++++++00++0++++0
DT(7,5,27) = 00++++0++++++++00+0++
DT(7,5,28) = ++++++00+++0++++++000
DT(7,5,29) = 000+++00+++0+++++++++
DT(7,5,30) = ++++++000+-00+-0+-+--
DT(7,5,31) = ++++++000++00++0+++++
DT(7,5,32) = 000+++00+++0++++++0++
DT(7,5,33) = 0++++++++++000+00+0++
DT(7,5,34) = ++++++000++00++0++++0
DT(7,5,35) = 000+++00+++0++++++000
DT(7,5,36) = 00++++0++++++++000000
DT(7,5,37) = 000000+++++++++++++++
DT(7,5,38) = 0+++++00000++++++++++
DT(7,5,39) = 0000000++++++++++++++
DT(7,5,40) = 00++++00000++++++++++
DT(7,5,41) = 0+++++000000++-++-+--
DT(7,5,42) = 0+++++000000+++++++++
DT(7,5,43) = 0000000++++++++0+-+--
DT(7,5,44) = 00++++00000++++0+-+--
DT(7,5,45) = 0+++++000000++++++0--
DT(7,5,46) = 0000000++++++++0+++++
DT(7,5,47) = 00++++00000++++0+++++
DT(7,5,48) = 0+++++000000++++++0++
DT(7,5,49) = 0000000++++++++0++++0
DT(7,5,50) = 00++++00000++++0++++0
DT(7,5,51) = 00000000+++0+++++++++
DT(7,5,52) = 000+++000000+++++++++
DT(7,5,53) = 0+++++0000000+-0+-+--
DT(7,5,54) = 0+++++0000000++0+++++
DT(7,5,55) = 00000000+++0++++++0++
DT(7,5,56) = 000+++000000++++++0++
DT(7,5,57) = 00++++00000++++00+0++
DT(7,5,58) = 0+++++0000000++0++++0
DT(7,5,59) = 00000000+++0++++++000
DT(7,5,60) = 000+++000000++++++000
DT(7,5,61) = 00000000000++++++++++
DT(7,5,62) = 00++++000000000++++++
DT(7,5,63) = 000000000000+++++++++
DT(7,5,64) = 000+++000000000++++++
DT(7,5,65) = 00++++0000000000+-+--
DT(7,5,66) = 00++++0000000000+++++
DT(7,5,67) = 000000000000++++++0++
DT(7,5,68) = 000+++000000000+++0++
DT(7,5,69) = 00++++0000000000++++0
DT(7,5,70) = 000000000000000++++++
DT(7,5,71) = 000+++000000000000+++