listForm -- convert to list form

Synopsis

Usage:

listForm f
Inputs:
- f, a ring element or a monoid element,
Outputs:
- a list, the polynomial or monomial in a form represented by nested lists.

Description

A monomial is represented by the list of its exponents. A polynomial is represented by lists of pairs (m, c)x, one for each term, where m is a list of exponents for monomial, and c is the coefficient.

i1 : R = ZZ/101[x,y,z];

i2 : listForm (x^2 - 7 + x*y*z^11 + y)

o2 = {({1, 1, 11}, 1), ({2, 0, 0}, 1), ({0, 1, 0}, 1), ({0, 0, 0}, -7)}

o2 : List

Code

/usr/share/Macaulay2/Core/orderedmonoidrings.m2:111:29-116:63: --source code:
listForm RingElement := (f) -> (
     R := ring f;
     n := numgens R;
     k := coefficientRing R;
     (cc,mm) := rawPairs(raw k, raw f);
     toList apply(cc, mm, (c,m) -> (exponents(n,m), promote(c,k))))

Ways to use `listForm` :

"listForm(MonoidElement)"
"listForm(RingElement)"

For the programmer

The object listForm is a method function.