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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def minimize_dihedrals(self):
 r"""Give a representation of the dihedral with minimized absolute value. Mathematically speaking the angles in a zmatrix are representations of an equivalence class. We will denote an equivalence relation with :math:`\sim` and use :math:`\alpha` for an angle and :math:`\delta` for a dihedral angle. Then the following equations hold true. .. math:: (\alpha, \delta) &\sim (-\alpha, \delta + \pi) \\ \alpha &\sim \alpha \mod 2\pi \\ \delta &\sim \delta \mod 2\pi This function asserts: .. math:: -\pi \leq \delta \leq \pi The main application of this function is the construction of a transforming movement from ``zmat1`` to ``zmat2``. This is under the assumption that ``zmat1`` and ``zmat2`` are the same molecules (regarding their topology) and have the same construction table (:meth:`~Cartesian.get_construction_table`):
: with cc.TestOperators(False):
 D = zm2 - zm1 zmats1 = [zm1 + D * i / n for i in range(n)] zmats2 = [zm1 + D.minimize_dihedrals() * i / n for i in range(n)] The movement described by ``zmats1`` might be too large, because going from :math:`5^\circ` to :math:`355^\circ` is :math:`350^\circ` in this case and not :math:`-10^\circ` as in ``zmats2`` which is the desired :math:`\Delta` in most cases. Args: None Returns: Zmat: Zmatrix with accordingly changed angles and dihedrals. """

        new = self.copy()

        def convert_d(d):
            r = d % 360
            return r - (r // 180) * 360
        new.unsafe_loc[:, 'dihedral'] = convert_d(new.loc[:, 'dihedral'])
        return new