Verify that the steepest-descent curve through the saddle point of (6.6 .23) is correctly drawn

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Step 1: Identify the function and the saddle point. The problem refers to a steepestu002Ddescent cur

Verify that the steepest-descent curve through the saddle point of $(6.6 .23)$ is correctly drawn in Fig 6.12. Show that this curve is vertical at $s=1$, crosses the imaginary-s axis at $s= \pm i \pi / 2$, and approaches $-\infty \pm i \pi$.