  Eric Rains conjectured several quadratic transformations between multivariate
elliptic hypergeometric functions in "Elliptic Littlewood Identities", with the
integrand multiplied by interpolation functions. In this article two of these
conjectures are proven in the case where the interpolation functions are
constant, and we obtain a third conjecture as a corollary. Two other equations
for elliptic Selberg integrals with 10 parameters, two of which multiplying to
pq/t, are given, as they are needed in the proof. The proofs consist
essentially of a calculation which strings together many elliptic Dixon
transformations. Some remarks are made about using Fubini in cases in which
product contours do not exist.
