distinctPlanePoints -- Generates the ideal of k random points in the coordinate ring $R$ of $\\P^{ 2}$

• Usage:

  (random distinctPlanePoints)(k,R)

• Inputs:
  • k, an integer, the number of points
  • R, a polynomial ring, the homogeneous coordinate ring of $\mathbb{P}^2$
• Outputs:
  • an ideal, the vanishing ideal of the points

i1 : setRandomSeed("alpha");
 -- setting random seed to 10206284518

i2 : R=ZZ/32003[x_0..x_2];

i3 : Ipts=(random distinctPlanePoints)(10,R);

o3 : Ideal of R

i4 : betti res Ipts

            0 1 2
o4 = total: 1 5 4
         0: 1 . .
         1: . . .
         2: . . .
         3: . 5 4

o4 : BettiTally