Diagrams -- Diagrams illustrating the tests

For fixed a and d the following diagrams show all possible

regularity + codim against degree

degree - regularity against codim

degree - codim against regularity

codim against regularity for semigroups with regularity - degree + codim = 0

regularity on top of codim against degree.

The line corresponds to the Eisenbud-Goto bound.

d = 3:

a = 3:

a = 4:

a = 5:

d = 4:

a = 2:

a = 3:

d = 5:

a = 2: