Numerical Monoid Visualizer

Click a circle to add or remove a selected generator. Drag a selected generator to another circle to move it. Light circles are generated elements; dark circles are the generators you selected.

Gap or not yet generated Monoid element Selected generator

Select one or more positive integers as generators.

Desired genus

Monoids to display

Slideshow

Choose a genus and display mode.

Numerical invariants

Computed from the unique minimal generating set

“Gorenstein” refers to the associated numerical semigroup ring (equivalently, the monomial curve). For S = ℕ₀ the pseudo-Frobenius set is empty and the type is taken to be 1, since the semigroup ring is a polynomial ring.