Hi Michael,
   The process is to take a polynomial, convert it to the monomial sym func 
basis, then to the elementary basis (which is outsourced to symmetrica). Do 
you have some references for these efficient algorithms to convert a 
polynomial directly to the elementary basis?

Best,
Travis


On Tuesday, April 21, 2020 at 3:18:37 AM UTC+10, Michael Jung wrote:
>
> Dear Sage developers,
>
> currently, I am working on an alternative algorithm to compute 
> characteristic forms. I hope to gain a speed-up here. For this reason, I 
> need to express symmetric polynomials in terms of elementary symmetric 
> functions. At the moment, I am playing around with `SymmetricFunctions`. 
> However, the implemented algorithm seems to be very slow. I know that there 
> are quite efficient algorithms out there, but are they accessible in Sage?
>
> Thanks for your help and best wishes
> Michael
>

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