gfanStats -- display certain properties of a list of polynomials

Synopsis

Usage:

gfanStats(L)
Inputs:
- L, a list, containing lists of marked Groebner bases
Outputs:
- S, a string, describing the bases in L

Description

This method outputs various information on a list of Groebner bases. The results are not parsed.

i1 : QQ[x,y,z];

i2 : L = gfan {x*y + z}

o2 = {{(x*y) + z}, {(z) + x*y}}

o2 : List

i3 : gfanStats L

o3 = Number of reduced Groebner bases: 2
     Number of variables: 3
     Dimension of homogeneity space: 2
     Maximal total degree of a Groebner basis: 2
     Minimal total degree of a Groebner basis: 2
     Maximal number of polynomials in Groebner basis: 1
     Maximal number of terms in Groebner basis: 2

gfan Documentation

This program takes a list of reduced Groebner bases for the same ideal and computes various statistics. The following information is listed: the number of bases in the input, the number of variables, the dimension of the homogeneity space, the maximal total degree of any polynomial in the input and the minimal total degree of any basis in the input, the maximal number of polynomials and terms in a basis in the input.
Options:

Ways to use gfanStats :

gfanStats(List)

For the programmer

The object gfanStats is a method function with options.