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the 4 -> 6 change simply ups the default precision to which something is computed. The ceil() to floor() + 1 change only applies in the case of an exact answer, and this way the strict inequality requested in the new comment is always satisfied. The doctest exactly checks this.
The code in real_roots.pyx for handling polynomials with AA coefficients had an off-by-one error in the case of integral coefficients.
Component: commutative algebra
Keywords: editor_craigcitro
Issue created by migration from https://trac.sagemath.org/ticket/3149
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