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Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.

4 votes

Computation of a minimal polynomial

Although exact calculations are to be preferred where possible, if all you have is a high-accuracy numeric value of a number which you know to be algebraic then you can use an integer relation finding …
Peter Taylor's user avatar
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25 votes
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How can you find an integer coefficient polynomial knowing its values only at a few points (...

You can certainly do better than brute force by considering modular constraints. If the solution is $p(x) = \sum_i a_i x^i$ then $p(x) - \sum_{j=0}^{n-1} a_j x^j$ is divisible by $x^n$ and $$\frac{p(x …
Peter Taylor's user avatar
  • 7,226