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We performed polarization measurements in the J,H, and K bands on 24 of the reddest stars in Stephenson's list (AJ,1992,103,263). These stars are selected to be very distant luminous stars with much higher reddening than previous polarimetry surveys of stars in the general galactic plane. The mean $P_{K}/\tau_{K}$ was determined to be $\approx 0.6$ which is lower than expected. The stars in the sample have position angles that are consistent withthe position angles of stars surveyed by Mathewson and Ford (MNRAS 1970,74,139) at distances greater than 1 kiloparsec.
