import numpy as np

"creation TXYZ coordinates from tau ifi1 fi2 fi3 coordinates"

T = tau * np.cosh(fi1) = tau * np.cos(1j*fi1) = T * gamma = gamma (if c=1)

X = tau * np.sinh(fi1) * np.cos(fi2) = tau * np.sin(1j*fi1) * np.cos(fi2) = gamma * X

Y = tau * np.sinh(fi1) * np.sin(fi2) * np.cos(fi3) = tau * np.sin(1jfi)... = gammaY

Z = tau * np.sinh(fi1) * np.sin(fi2) * np.sin(fi3) = gamma*Z

tau = np.sqrt(-t ** 2+x ** 2+y ** 2+z ** 2) or np.sqrt(t ** 2-x ** 2-y ** 2-z ** 2) (do you use +--- or -+++)