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Is `f.splitting_field()` a one-way function candidate?
Polynomials are typically encoded by their coefficients, and number fields are given by their defining polynomials. I'm aware that not being one-to-one is not a sufficient condition. …
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What is the computational complexity of finding the splitting field of a polynomial?
Suppose $K$ is a number field and $f \in K[x]$ is irreducible. What is the computational complexity of computing f.splitting_field()? I'm also interested in the case we also compute an embedding, f.sp …