Table 1.

Composition of Z2 field

P	C	P	C	P	C	P	C
00	−29.43	21	0.05	04	−0.04	60	0.03
10	17.28	12	−0.01	50	−0.04	51	0.00
01	19.73	03	0.08	41	−0.05	42	0.12
20	−57.08	40	−0.03	32	−0.08	33	0.00
11	−0.44	31	0.03	23	−0.09	24	0.12
02	−56.75	22	−0.10	14	−0.03	15	0.00
30	0.13	13	0.01	05	−0.04	06	0.04

Best-fit components (C) of each polynomial (P) up to 6th order for the field produced by the Z2 insert coil, as estimated from the phase maps. Coefficient “20” denotes x², “11” denotes “xy,” and so on. Coefficients are expressed in Hz/cmⁿ/Amp, where n is the sum of the two subscript indices. The normalized field decomposed in this table corresponds to the Z2 insert coil driven with 1 amp of current. To populate the encoding matrix, the field components in the table must be combined, scaled appropriately, and used to calculate the encoding function for each time point and coil channel.