GAP (NumericalSgps) - Appendix C: A graphical interface

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### C. A graphical interface

Here we describe a Tcl/Tk interface to specify numerical semigroups.

#### C.1 Graphical interface

##### C.1-1 XNumericalSemigroup

`> XNumericalSemigroup`( [s] ) | ( function )

This function pops up a Tcl/Tk window which allows the specification of numerical semigroups. The optional argument s is a numerical semigroup whose definition becomes displayed in the graphical interface.

The interface is very simple, it allows to specify a numerical semigroup by its generators or a (proportionally) modular numerical semigroup by its (proportionally) modular condition. The GAP variable by which the semigroup will be known must also be specified.

The interface also allows to apply some functions to the semigroup, namely `AperyListOfNumericalSemigroupWRTElement` (3.1-5), `DrawAperyListOfNumericalSemigroup` (3.1-6), `SmallElementsOfNumericalSemigroup` (3.1-3), `GapsOfNumericalSemigroup` (3.3-1), `FrobeniusNumberOfNumericalSemigroup` (3.2-1) and `MinimalPresentationOfNumericalSemigroup` (4.1-2). Finally, it is also possible to add functions to this list and remove them.

    gap> s:=RandomNumericalSemigroup(3,9);
    <Numerical semigroup with 3 generators>
    gap> XNumericalSemigroup(s);

This would pop up the following window:

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