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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