Le jeudi 5 janvier 2017 17:30:16 UTC+1, John Cremona a écrit :
>
>
> It may seem heavy-handed but the final outcome is likely to be better 
> this way.  I did a complicated computation involving a whole lot of 
> different number fields, mostly cyclotomic fields, and I kept on 
> restarting with a larger and larger such field with the others defined 
> as subfields of it (I think I ended up using the 1092'th roots of 
> unity).  This worked out much better in the end than trying to 
> construct towers from the bottom up. 
>
> Your situation seems to be like this with function fields instead of 
> number fields.  Instead of starting with Q and adjoining roots of 
> polynomials you are starting with Q(x) and extending that 
> algebraically.  Unfortunately Sage's support in this situation is not 
> so good. 
>

Thanks for sharing this experience. As I said above, in the manifold 
set up, everything is ready (I think) to play with such constructions
instead of the Symbolic Ring. 

Best wishes,

Eric.

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