I'm quite new to Sage so this might be a very easy question.
Suppose that I have defined a linear extension of a poset in Sage like this:
P = Poset(([1,2,3,4], [[1,3],[1,4],[2,3]]), linear_extension=True, facade=False)
p = P.linear_extension([1,4,2,3])
Is there a way for me to make this linear extension into a permutation? That is, I would like to obtain the permutation [1,4,2,3] from p.