Yet another idea on Euler's Coil

Consider a standard Euler's Coil technology with 4 independent electromagnetic coils. What happen if the electromagnetic coils is connected as 2 pairs? i.e. When A,B,C,D is arranged in a square, A and C act as a pair while B and D act as another pair? Since we are connecting the electromagnetic coil in series, the result would be different from when all of them are independent. Moreover, what if we switch the connection of the electromagnetic coil from parallel to series in the middle of experiment according to the states of electromagnetic coils?