Define a polynomial ring.
Define a set of polynomials of R.
There are two groups of solutions, each of which is given by a regular chain. To view the equations, use the Equations command.
Let rc1 be the first regular chain, and rc2 be the second one.
Consider two polynomials h1 and h2; regard them as inequations.
To obtain regular systems, first check if is regular with respect to , and is regular with respect to .
Both of them are regular, thus you can build the following regular systems.
You can simply call RegularSystem(R) to build the regular system which encodes all points.
The complement of must be empty.