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A possibility would be to use matplotlib+numpy. For example:

import numpy as np
import matplotlib.pyplot as plt

def get_f( n ):
    def func(t):
        return np.exp(i*t*(1-n))*(1+(np.exp(np.exp(i*t))-1)/(np.exp(2*np.exp(i*t))+1))
    return func

def mat_plot():
    t = np.arange(0.,2*np.pi,0.01)
    for i in range(20):
        func = get_f(i)
        ft = func(t)

Takes only 0.5s at SMC (and 234ms on my laptop). Sample output:

image description