Complex Analytic Landscapes

You can select functions of the following list:

z z^2 1/z 1/z^3 z^7+z+2 1/(z^5-1) (z^5+1)/(z^5-1) (z-1)/(z^2+1) (z^2+1)/(z^2-1) 1/(z^round(20*a-10)-1) sqrt(z) log(z) sin(z) exp(z) sqrt(1-z*z) tan(z) sin(z+3*a)/sin(z+i) 1/sin(pi*a+z^3) 1/sin((z+1)/(z-1)) z^z log(z^z)/z

Non-rational functions are approximated through rational functions