To install, type in the repl
] add SymmetricPolynomials
using SymmetricPolynomials
Factor x^3+y^3+z^3
x = semi_elementary_monomial((0,0,3),(0,0,0))
decompose(x)
Factor w^3+x^3+y^3+z^3
x = semi_elementary_monomial((0,0,0,3),(0,0,0,0))
decompose(x)
Factor x^3(y+z)+y^3(x+z)+z^3(x+y)
x = semi_elementary_monomial((0,1,3),(0,0,0))
decompose(x)