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Equivalence between algebraic equations of motion may be detected by using a$p$-adic method, methods using factorization and linear algebra, or bysystematic computer search of suitable Tschirnhausen transformations. Here, weshow standard {\sl polynomial interpolation} to be a competitive alternativemethod for detecting orbital equivalences and field isomorphisms. Efficientalgorithms for ascertaining equivalences are relevant for significantlyminimizing computer searches in theoretical and practical applications.

Polynomial interpolation as detector of orbital equation equivalence