>> [reg, hilbertFunc] = HilbertFunc(3, 'Points3', 'Points3dual', 1e-10, 0)

reg =

     3


hilbertFunc =

     1
     4
     9
    12

>> [reg, hilbertFunc] = HilbertFuncVeronese(3, 'Points3all', 1e-10, 0)

reg =

     4


hilbertFunc =

     1
     4
    10
    16
    18

>> [reg, hilbertFunc] = HilbertFunc(4, 'Points4', 'Points4dual', 1e-10, 0)

reg =

     5


hilbertFunc =

     1
     5
    15
    31
    45
    48

>> [reg, hilbertFunc] = HilbertFuncVeronese(4, 'Points4all', 1e-10, 0)

reg =

     5


hilbertFunc =

     1
     5
    15
    28
    36
    37

>> [reg, hilbertFunc] = HilbertFunc(5, 'Points5', 'Points5dual', 1e-10, 0)

reg =

     5


hilbertFunc =

     1
     6
    20
    45
    70
    80

>> [reg, hilbertFunc] = HilbertFuncVeronese(5, 'Points5all', 1e-10, 0)

reg =

     8


hilbertFunc =

     1
     6
    21
    51
    96
   141
   162
   167
   168

>> [reg, hilbertFunc] = HilbertFunc(6, 'Points6', 'Points6dual', 1e-10, 0)

reg =

     6


hilbertFunc =

     1
     7
    27
    71
   131
   177
   192

>> [reg, hilbertFunc] = HilbertFuncVeronese(6, 'Points6all', 1e-10, 0)

reg =

    10


hilbertFunc =

     1
     7
    28
    78
   168
   294
   425
   506
   536
   542
   543