Dimensional growth rates of antisymmetric (﹩{\tilde{\nu }}_{\mathrm{asy}}﹩) and symmetric (﹩{\tilde{\nu }}_{\mathrm{sym}}﹩) modes (dashed line for negative values), for the fiducial model through the range of disk radius 0.4 < (R/au) < 4. Note that ﹩{\tilde{\nu }}_{\mathrm{sym}}\lt 0﹩ holds for all radii. The lines indicating the R ^−5/2 and R ⁻³ power laws are also presented for comparison.