Colored axes and showing 5 colored branches (Riemann surfaces) and ln(z)  as a spiral

There is a plotcompare(log(z), expression_plot, 3); branches(ln);

FunctionAdvisor(branch_cuts, log(z));
                         [ln(z), z < 0]

The principal branch is the red colored one : Pi..-Pi (difficult to see here )

                                       pic 1

Compare this pic 1  with the Imaginaire plot log(z) in plotcompare command.

As maple 1d input:

expr:=(1/2)*a*(b/c)/d;     

As 2 d input : 

This rightside of the equation i like to get in Maple , but how?

answer

• How to get the ln(z) 3d plot example in the FunctionAdvisor /plot ?
• a table plot, to show different plots together 

Download logaritmisc_functie_betrekking_goniometrische_functie.mw

I am studying something about complex numbers. 

What commands are specific to find in Maple for complex numbers ?

• complexplot()
• conformal()
• conformal3d()

It seems that there are a lot of standard calculus statements can be used by adding the word : complex 
Iam using here a package downloaded from Maple website : complex analysis for mathematics and engineering

Got the impression that some modern plot commands for complex numbers are not yet in this book present ..and how about other commands?

an_introduction_to_complex_numbers.mws