Hi Neil

We wrote

>> This gives the same results as Python's Fraction, except for your
>> example [6]. There, it gives the Fraction(0) you ask for.
>>
>> If the smart mathematicians and computer scientists that wrote gp/pari
>> get the same answers, it suggests to me that improvement would be
>> hard.

> That's because these are just floating point numbers.  These are not being
> processed symbolically.  Wolfram Alpha gives all three roots, including the
> real root.

I've not used Wolfram Alpha, nor I think have many people on this
list. Please copy and paste the input and output from Alpha, so we can
see for ourselves (and so there's a record on this list).

If anyone has time and ready access, it would help to know what
https://www.sympy.org/en/index.html does with this.

Perhaps your innocent request conceals a request for symbolic handling
of simple algebraic numbers.

-- 
best regards

Jonathan
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