Dear community,

I've already opened a ticket <https://trac.sagemath.org/ticket/28629> on 
this topic.

In the manifold implementation, scalar fields behave a lot like symbolic 
ring elements: There is a division behind and "most" of the elements behave 
like field elements. Since the manifold package deals with quite 
sophisticated computations, it is desireable to speed up some computations, 
for example by using more efficient algorithms for matrix inversions on 
fields. It would be great to have an option somehow forcing Sage to use one 
of these algorithms (or at least try) even if the algebra is no field.

Is is already possible? If not, a corresponding implementation is highly 
appreciated.

Another thing: Is it possible to activate or implement multiprocessing for 
the division free algorithm? I run into computation time problems when 
using mixed forms and computing characteristic classes. This is not 
suprising anyway, though a multi-core support would be great!

Best wishes,
Michael

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