Points on the Complex Grid
Here is a(z) being evaluated and the natural ln(z) of the values are plotted.
Also, when evaluating a(lni) ; a(lni^2) the two points exchange x y values to y x.
Study each points Calculation -
Notice the Point (1.35,2.22)
Notice the distances within it's own scale
Red curve is ln(x) , Notice point on ln(x) curves values.