When randomCurveP1P2 generates a random curve in *ℙ ^{3}* using the SpaceCurves package, it is possible the resulting curve will intersect the base loci of the projections used to construct the curve in

- randomCurveP1P2(..., Attempt => ...)

- randomCurveP1P2 -- creates the ideal of a random curve in P^1xP^2