Re: [sage-support] Re: Isolating real roots of exact univariate polynomial

2017-11-02 Thread Dima Pasechnik
Just for the record, I checked these with the recent Sage beta (8.1.beta9), and everything works, no errors. On Friday, February 18, 2011 at 4:07:38 PM UTC, D. S. McNeil wrote: > > A somewhat simpler test case, which I think preserves the qualitative > issue: > > sage: from sage.rings.polynomial

Re: [sage-support] Re: Isolating real roots of exact univariate polynomial

2011-02-18 Thread D. S. McNeil
A somewhat simpler test case, which I think preserves the qualitative issue: sage: from sage.rings.polynomial.real_roots import real_roots sage: sage: x = polygen(QQ) sage: f = 2503841067*x^13 - 15465014877*x^12 + 37514382885*x^11 - 44333754994*x^10 + 24138665092*x^9 - 2059014842*x^8 - 3197810701*

[sage-support] Re: Isolating real roots of exact univariate polynomial

2011-02-18 Thread luisfe
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 am

[sage-support] Re: Isolating real roots of exact univariate polynomial

2011-02-18 Thread zteitler
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 594813163982683595176185452130468519129644968918377817372539082858201843 58576518918331892948