is there no way to use the command factors to get (a list of) the complex linear factors of a real univariate polynomial? I want something like "factors" but for complex factors. There is cFactor but the return does not seem to be a list but an expression (can we make it return me a list?). There is cZeros but that does not specifically give me multiplicity and it seems to be somehow inconsistent, here is a python code:
We also get the same behaviour above in XCas.f=giac("x**2+1")
g=f*f
g.cZeros() #returns [i,-i,i,-i], does it want to show me the multiplicities?
g=giac("(x**2+1)**2")
g.cZeros() #return [i,-i], bug? this does not give me multiplicity
Edit: The undocumented field extension factorisation works. I can use factors(x**2+1,i). I keep on forgetting this because I check the (english, cascmd_en.pdf p.153) documentation. I will "edit" the pdf to make sure I see it if I search the documentation. Though it will be nice if this could also be added to the documentation.
Jose