grid = input plane of complex numbers (ℂ)

height of surface = real part
color of surface - white = bigger Im(f(z)), black = smaller Im(f(z))

f(z) =

Select plot:

How good is your device/How accurate do you want the graph on a scale:
from 1 (bad) to 999 (NASA):

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A 3D web-based complex function grapher

What exactly am I looking at? I still don't understand.
There is a section of this video that nicely explains it

List of functions

Supported operations: + - * / ^

Trigonometric: sin,cos,tan,csc,sec,cot

Inverse Trigonometric: asin,acos,atan,acsc,asec,acot

Hyperbolic Trigonometric: sinh,cosh,tanh,csch,sech,coth

Inverse Hyperbolic Trigonometric: asinh,acosh,atanh,acsch,asech,acoth

E: ln,exp(significantly faster than e^z)

Roots: sqrt,cbrt

Misc: conj,inv,Re,Im,mod (or norm),arg

Gamma: lngamma,gamma,digamma,trigamma

Zeta: zeta,zetac(accepts 2 inputs, second input is how precise it is)
It is reccomended that you do something like zeta(3*z) (btw default zeta is at 25)

What is Logarithmic height

It takes the original height h and replaces it with ln(1+h)

for negative h it uses -ln(1-h) instead