parameterCount(S,X)
See parameterCount(SpecialCubicFourfold) and parameterCount(SpecialGushelMukaiFourfold) for more precise applications of this function.
The following calculation shows that the family of complete intersections of 3 quadrics in $\mathbb{P}^5$ containing a rational normal quintic curve has codimension 1 in the space of all such complete intersections.
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The object parameterCount is a method function with options.