Table 3.

Integrals used in expansions of quantities on a spherical cortical surface using Freesurfer coordinates.

Mode affected ($Y_{LM}^{\prime }$)	Perturbation component ( Y lm )
	$Y_{1-1}^{\prime }$	$Y_{10}^{\prime }$	$Y_{11}^{\prime }$	$Y_{2-2}^{\prime }$	$Y_{2-1}^{\prime }$	$Y_{20}^{\prime }$	$Y_{21}^{\prime }$	$Y_{22}^{\prime }$
$Y_{00}^{\prime }$	0	0	0	0	0	0	0	0
$Y_{1-1}^{\prime }$	0	0	0	0.160	− 0.180	− 0.033	0.040	− 0.078
$Y_{10}^{\prime }$	0	0	0	− 0.150	0.065	0.033	− 0.140	− 0.130
$Y_{11}^{\prime }$	0	0	0	− 0.004	0.110	0.0004	0.100	0.200
$Y_{2-2}^{\prime }$	0	0	0	0.010	− 0.095	0.0002	− 0.120	− 0.100
$Y_{2-1}^{\prime }$	0	0	0	− 0.0003	− 0.180	− 0.002	0.014	0.011
$Y_{20}^{\prime }$	0	0	0	0.002	0.180	0.002	− 0.012	0.006
$Y_{21}^{\prime }$	0	0	0	− 0.006	0.085	− 0.004	0.130	− 0.095
$Y_{22}^{\prime }$	0	0	0	− 0.005	0.009	0.004	− 0.014	0.180

Values of integrals $I_{lm}^{LM}$ in Equation 59 in Freesurfer coordinates for the first nine spherical eigenmodes, such that the rows in the body of the table correspond to the spherical eigenmodes $Y_{LM}^{\prime }$ (leftmost column) affected by the perturbation components from the eigenmodes $Y_{lm}^{\prime }$ (top row). The bold numbers correspond to the effect of the perturbations from each of the l = 1 modes on each of the L = 1 modes.