  We present a new perspective on the Schottky problem that links numerical
computing with tropical geometry. The task is to decide whether a symmetric
matrix defines a Jacobian, and, if so, to compute the curve and its canonical
embedding. We offer solutions and their implementations in genus four, both
classically and tropically. The locus of cographic matroids arises from
tropicalizing the Schottky-Igusa modular form.
