Just for the record. The problem seems to be related to RIF. For the
inexact ring RR, it works:

len(e.roots(ring=RR))
13
len(e.real_roots())
13

numeric approximations of the two missing roots are:
0.953956769342757,  0.957223630414975

This pair of roots is exactly the pair of most close roots among all.
So it seems that a sign change is not detected.


On Feb 18, 3:41 pm, zteitler <[email protected]> wrote:
> I was not sufficiently careful in posting my polynomial e(x) and
> apparently some bad line breaks and spaces were introduced. This reply
> is to post a properly-wrapped copy of the polynomial.
>
> Zach Teitler

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