[sage-support] Re: How to find coordinate vector

I would define the span over the integers differently, using "span_of_basis" to make sure it uses the basis you specify: sage: V = ZZ^2 sage: W = V.span_of_basis(R) sage: W Free module of degree 2 and rank 2 over Integer Ring User basis matrix: [1 3] [1 0] sage: W.coordinates([0,3]) [1, -1]

[sage-support] How to find coordinate vector

Hi, I take two vectors as follows: R=[(1, 3), (1, 0)] Then I span it over integers like R=(ZZ^2).span(R) It is clear that vector([0,3]) is in R. I want to find corresponding coordinates i.e, (1,-1). How can I find this using Sage? Instead of integers, is it possible to span over the ring