generate_circles.py

import numpy as np
import pandas as pd

points = pd.read_csv('hand500.csv', header=None)
points_complex = points[0] + 1j * points[1]
z = np.fft.fft(points_complex)
amp = np.abs(z)
phase = np.angle(z)
freq = np.fft.fftfreq(len(z))
# zero out base amplitude to center it around zero
amp[0] = 0

circle_data = pd.DataFrame({'amp': amp, 'phase': phase, 'freq': freq})\
    .sort_values('amp', ascending=False)
circle_data.to_csv('hand500_freq.csv', header=None, index=False)