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Let $q_1,q_2,...,q_N$ be the coordinates of $N$ particles on the circle,interacting with the integrable potential $\sum_{j<k}^N\wp(q_j-q_k)$, where$\wp$ is the Weierstrass elliptic function. We show that every symmetricelliptic function in $q_1,q_2,...,q_N$ is a meromorphic function in time. Wegive explicit formulae for these functions in terms of genus $N-1$ thetafunctions.Comment: 18 pages, Late

On the explicit solutions of the elliptic Calogero system