Símbolo de Levi-Civita en Python

levicivita.py

# coding: utf-8
# Símbolo de Levi-Civita en Python utilizando listas por comprensión
# Fórmula extraída de http://en.wikipedia.org/wiki/Levi-Civita_symbol#Three_dimensions
# Válido para Python 2 y 3
#
# Juan Luis Cano Rodríguez <juanlu001@gmail.com>

from __future__ import print_function

import numpy as np

e = np.array([[[int((i - j) * (j - k) * (k - i) / 2) for k in range(3)] for j in range(3)] for i in range(3)])
print(e)

salida.txt

[[[ 0.  0.  0.]
  [ 0.  0.  1.]
  [ 0. -1.  0.]]

 [[ 0.  0. -1.]
  [ 0.  0.  0.]
  [ 1.  0.  0.]]

 [[ 0.  1.  0.]
  [-1.  0.  0.]
  [ 0.  0.  0.]]]

I would like to point out that the Levi-Civita tensor is available in sympy.
Here's a code equivalent to the one above.

from sympy import LeviCivita
import numpy as np
eps = np.array([[[ float(LeviCivita(i,j,k)) for k in range(3)] for j in range(3)] for i in range(3)])
print(eps)

The generalization to higher dimensions is done by adding extra dimensions and increasing the bounds of each range in the loops.