The purpose of including the table is to show that with some added logic the number of look up tables can be reduced by a factor of 2. This means that for a 4th order interpolator the number of coefficient tables is only 2. Observation of the z and z-1 columns shows that if row 1 is ignored and treated as a special case, the entries are mirrored from each other or related by the one’s complement of each other. For example, row 1 of z is the same as row 31 of z-3 and row 2 of z is the same as row 30 of z-3 etc. The same relationship holds for the z-1 and z-2 columns.