Regeneration is a blackbox method that obtains a numerical describtion of an algebraic variety. Note that
Ws are not necessarily irreducible witness sets; use
decompose(WitnessSet) to decompose into irreducibles.
setRandomSeed 7 |
R = CC[x,y] |
F = {x^2+y^2-1, x*y}; |
regeneration F |
R = CC[x,y,z] |
sph = (x^2+y^2+z^2-1); |
I = ideal {sph*(x-0.5)*(y-x^2), sph*(y-0.5)*(z-x^3), sph*(z-0.5)*(z-x^3)*(y-x^3)}; |
cs = regeneration I_* |