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# 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:

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/MonomialAlgebras.m2:1177:0.