Macaulay2 package EllipticIntegrals: This package provides some functions for computing elliptic integrals and elliptic functions. The basis for the computations is the arithmetic geometric mean, and the notation we use comes from the paper The arithogeometric mean, Archiv der Mathematik, volume 52, 1989, pages 507-512.

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  1. Grayson, Daniel R.: The arithogeometric mean (1989)