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Is there a way to compute the secondary (GKZ) fan with sage?

I am doing research in Toric varieties and I am hoping for a quick way to look at examples.

Looking through "Rational Polyhedral Fans" and "Toric Varieties" pages there is a lot of information that can be calculated about fans/toric varieties but I have not found code to calculate the secondary fan.

I am looking for a simple way to do this either given a Toric variety (or its fan), or from starting from the set of $\beta$'s, as described in Chapter 14 of "Toric Varieties" by Cox, Little, Schenck.

Does anyone know if Sage has anyway to do this?