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Calling Sage from Java


I am looking for a way to call Sage functions, such as constructing Polyhedra, from Java (on Windows). In more detail, I want to do the following:

  1. Input to Sage from Java: P1 = Polyhedron(vertices = [[0,2], [-1,0], [1,0], [0,0]])
  2. Retrieve in Java the Sage output: P1.Hrepresentation()

It would be optimal if I could call Sage directly somehow, but if it's necessary, I think a python wrapper could also work. It would be very kind if somebody could point me in the right direction, maybe with code snippets, as I am very new to the Sage Environment.

Thank you.