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See "Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation" http://front.math.ucdavis.edu/0002.5222 for the explicit relation between representations constructed via hypergeometric integrals and Gassner. We also explain the connection to [DM]. The representations we construct in the paper are mildly different from the ones in [DM], but you just have to replace our parameters $\epsilon_j=\pm 1$ with $\sqrt{-1}$ (to get [DM]).