Re: asking for a simple locally soluble algorithm for a quartic

["Thomas D. Dean" <tomdean@wavecable.com>]

On 11/26/23 23:22, Thomas D. Dean wrote:
> On 11/26/23 17:44, American Citizen wrote:
> > Does anyone have a simple GP-Pari script which outputs 0 for false and 
> > 1 for true when the input is a quartic in vector format: [a,b,c,d,e] 
> > where the quartic is a*x^4 + b*x^3 + c^x^2 + d^x +e and we are trying 
> > to find the everywhere_local_solubility of the quartic?
> >
> > Example GP Pari function:
> >
> > everywhere_locally_soluble(Q) = [0,1] where 0 means false and 1 means 
> > true.
> look at polsturm 

for real roots

Sorry, I hit send too soon

Some hints in:
https://en.wikipedia.org/wiki/Quartic_equation

Tom Dean