aperySet -- Compute the apery set of a numerical semigroup

Synopsis

Usage:

as = aperySet L

aS = aperySet HL
Inputs:
- L, a list, of positive integers
- H, a hash table, as computed by H = apery L
Outputs:
- aS, a list,

Description

L is taken as generators of a numerical semigroup S; should have gcd = 1. The apery set is then the list aS = {a_1..a_(m-1)} where m is the smallest element of L, and a_i is the smallest element of S with a_i = i mod m.

i1 : aperySet {3,5}

o1 = {10, 5}

o1 : List

i2 : semigroup {3,5}

o2 = {0, 3, 5, 6, 8, 9, 10}

o2 : List

Ways to use aperySet:

aperySet(HashTable)
aperySet(List)

For the programmer

The object aperySet is a method function.

aperySet -- Compute the apery set of a numerical semigroup

Synopsis

Description

See also

Ways to use aperySet:

For the programmer