In the present work,
we extend the idea of numerical parameterization
(i.e., parameterization by the numerical solution of
initial-value problems (IVPs) for ordinary differential equations
(ODEs)) to affine varieties in $\C^n$ for $n > 2$.
We use these results with an efficient implementation in Maple
to explore the use of numerical parameterization for the visualization
of Riemann surfaces.
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