A processor calculates an estimated position of each of the plurality of magnets in a three dimensional space and calculates values related to a predicted magnetic field strength through {HEAD ~ at least a portion} of {TAIL ~ the sensors} based on the estimated positions of the plurality of magnets 
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A processor calculates an estimated position of each of the plurality of magnets in a three dimensional space and calculates values related to a predicted magnetic field strength through { HEAD ~ at least a portion } of { TAIL ~ the sensors } based on the estimated positions of the plurality of magnets
OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD HEAD HEAD REL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH