AugmentedSymmetricPolynomial

AugmentedSymmetricPolynomial[{r1, r2, ...}]
represents a formal augmented symmetric polynomial with exponents , , ....

AugmentedSymmetricPolynomial[{{r11, ..., r1n}, {r21, ..., r2n}, ...}]
represents a multivariate formal augmented symmetric polynomial with exponent vectors , , ....

AugmentedSymmetricPolynomial[rspec, data]
gives the augmented symmetric polynomial in data.

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