def METHOD_NAME(self):
    """finds the important parameters of the fitted ellipse
    Theory taken form http://mathworld.wolfram
    Args
    -----
    coef (list): list of the coefficients describing an ellipse
       [a,b,c,d,f,g] corresponding to ax**2+2bxy+cy**2+2dx+2fy+g
    Returns
    _______
    center (List): of the form [x0, y0]
    width (float): major axis
    height (float): minor axis
    phi (float): rotation of major axis form the x-axis in radians
    """
    # eigenvectors are the coefficients of an ellipse in general form
    # a*x^2 + 2*b*x*y + c*y^2 + 2*d*x + 2*f*y + g = 0 [eqn. 15) from (**) or (***)
    a = self.coef[0, 0]
    b = self.coef[1, 0] / 2.
    c = self.coef[2, 0]
    d = self.coef[3, 0] / 2.
    f = self.coef[4, 0] / 2.
    g = self.coef[5, 0]
    # finding center of ellipse [eqn.19 and 20] from (**)
    x0 = (c * d - b * f) / (b ** 2. - a * c)
    y0 = (a * f - b * d) / (b ** 2. - a * c)
    # Find the semi-axes lengths [eqn. 21 and 22] from (**)
    numerator = 2 * (a * f * f + c * d * d + g * b * b - 2 * b * d * f - a * c * g)
    denominator1 = (b * b - a * c) * ((c - a) * numpy.sqrt(1 + 4 * b * b / ((a - c) * (a - c))) - (c + a))
    denominator2 = (b * b - a * c) * ((a - c) * numpy.sqrt(1 + 4 * b * b / ((a - c) * (a - c))) - (c + a))
    width = numpy.sqrt(numerator / denominator1)
    height = numpy.sqrt(numerator / denominator2)
    # angle of counterclockwise rotation of major-axis of ellipse to x-axis [eqn. 23] from (**)
    # or [eqn. 26] from (***).
    phi = .5 * numpy.arctan((2. * b) / (a - c))
    self._center = [x0, y0]
    self._width = width
    self._height = height
    self._phi = phi