Monomials' list for Laurent polynomials

asked 2020-01-11 16:27:05 +0100

rue82
113 ●1 ●4 ●13

Given a Laurent polynomial, is there a method to list its monomials? For example, for the polynomial $f(x,y) = x/y + y +3/x$ in the ring $R[x^\pm,y^\pm]$, it should give a list of the form [x/y,y,3/x]. Something similar exists for polynomials, it is given by monomials().

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answered 2020-01-11 17:41:58 +0100

FrédéricC

5276 ●4 ●44 ●117

Like this

sage: x, y = LaurentPolynomialRing(QQ, 'x,y').gens()
sage: f = x+2/y
sage: list(f)
[(1, x), (2, y^-1)]

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Many thanks. If I previously introduced x,y as symbolic variables, is there a way to covert the elements in the list back to symbolic variables?

rue82 ( 2020-01-11 23:20:20 +0100 )edit

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Asked: 2020-01-11 16:27:05 +0100

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Last updated: Jan 11 '20

Monomials' list for Laurent polynomials edit