PointOptions is an option in various functions in this package, which can store options to be passed to the function findANonZeroMinor and other functions in RandomPoints.


The default setting ExtendField => true means that points whose residue field are finite extensions of the prime field are valid, and are used to study the matrix. Furthermore, we have set Homogeneous=>false by default which means the origin is treated as a valid point. Setting ExtendField=>false will sometimes speed up computation, but can also miss some important submatrices if that determinant (plus what has already been computed) defines a scheme with no or relatively few rational points. In such a case, ExtendField => false will typically substantially slow down computations.
The object PointOptions is a symbol.