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Syntax:

INTERPOL(⟨values⟩,⟨variable⟩,metapoints);

where ⟨values⟩ and ⟨points⟩ are lists of equal length and <variable> is an algebraic expression (preferably a kernel).

INTERPOL generates an interpolation polynomial f in the given variable of degree length(⟨values⟩)-1. The unique polynomial f is defined by the property that for corresponding elements v of ⟨values⟩ and p of ⟨points⟩ the relation f(p) = v holds.

The Aitken-Neville interpolation algorithm is used which guarantees a stable result even with rounded numbers and an ill-conditioned problem.

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