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met. formula-newton: $k\,e_k = \sum_{i=1}^{k} (-1)^{i-1} e_{k-i}\, p_i$, where $p_i$- are the power sums HREF{Power_sum_polynomials} (Newton's identities).+ are the power sums HREF{Power_sum_symmetric_polynomials} (Newton's identities). formula-with-homogeneous: $\sum_{k=0}^{d} (-1)^{k} e_k\, h_{d-k} = 0$ for $d \geq 1$, where $h_d$ are the complete homogeneous symmetric polynomials HREF{Complete_homogeneous_symmetric_polynomials}.
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