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Binomials :: randomBinomialIdeal

randomBinomialIdeal -- Random Binomial Ideals

Synopsis

Description

The exponents are drawn at random from {-d,...,d}. All coefficients are set to 1.
i1 : R = QQ[a..x]

o1 = R

o1 : PolynomialRing
i2 : randomBinomialIdeal (R,6,2,4,true)

                     2   2 2    2      2          2        2 2         2 2   
o2 = ideal (c*j*u - w , l s  - o t, n*o q - x, a*c o - d, b j  - u*v, g r s -
     ------------------------------------------------------------------------
      2   2 4
     u , k w  - 1)

o2 : Ideal of R
i3 : randomBinomialIdeal (R,3,4,10,false)

             3 3 4 3 4    3 4 2      3 3 3 3 3 4 2    4 4    3 4 3 2 3 3 3  
o3 = ideal (e j o s t  - a b d h*m, c d e j n v x  - r s w, c j n q r v w  -
     ------------------------------------------------------------------------
        4 2   3 4 3 2 3 2 2 4    4
     d*k p , a g h i p r t v  - b x)

o3 : Ideal of R
This function is mostly for internal testing purposes. Don't expect anything from it.

Caveat

Minimal generators are produced. These can be less than n and of higher degree. They also need not be homogeneous.