Net Lindblad torque, T _total, for the m ⩽ 60 modes as a function of planet orbital radius r _p . The torque is negative except at the resonant peaks where the gain due to wave trapping is high enough for the inner Lindblad torque to overcome the outer Lindblad torque. The net Lindblad torque is normalized by T _in ≡ ( M _p / M _*) ²Σ r ⁴Ω ²( H/ r) ⁻³ evaluated at the inner edge of the disk r = r _in. The red lines indicate the differential Lindblad torque without considering disk resonance, while the black lines show the differential Lindblad torque including the effect of disk resonance. When corotation torque is negligible planets can become trapped where the net Lindblad torque crosses zero with negative slope.