A sample of 24700 n ~ hyperons was produced by a polarized neutral beam in a spin-transfer reaction, The n ~ polarizations are found to be -0.054 ±0.019 and -0.149 ±0.055 at mean fl ~ momenta of 322 and 398 GeV/c, respectively. The directions of these polarizations give an n ~ magnetic moment of -1.94 ± 0.17 ± 0.14 nuclear magnetons.