In my own experience, coding with an univariate polynomial is not
efficient especially if the polynomial is sparse. I'm using heapmult
or Lagrange interpolation in giac for polynomials represented as
sparse distributed polynomials, with monomials coded as integers if
they fit. I also experienced that recursive representation was slower
than heap multiplication for total degree fixed. It depends a lot on
the polynomials: if they have a total degree bound, or partial degree
bounds, and how sparse they are (or are not).

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