An initial estimation of the location and {HEAD ~ orientation} of {TAIL ~ each magnet results} in the generation of predicted magnetic field values 
of
An initial estimation of the location and { HEAD ~ orientation } of { TAIL ~ each magnet results } in the generation of predicted magnetic field values
OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD REL TAIL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH OTH OTH OTH OTH