def METHOD_NAME(self):
    """
    Generates a random pentuple of values (a_source, b_source), beta, (a_target, b_target) s.t.
        CAN(a_source, b_source) * exp(-i(s ZI + t IZ)) * CAN(beta)
                                =
        exp(-i(u ZI + v IZ)) * CAN(a_target, b_target) * exp(-i(x ZI + y IZ))
    admits a solution in (s, t, u, v, x, y).
    Returns (source_coordinate, interaction, target_coordinate).
    """
    source_coordinate = [self.rng.random(), self.rng.random(), 0.0]
    source_coordinate = [
        source_coordinate[0] * np.pi / 8,
        source_coordinate[1] * source_coordinate[0] * np.pi / 8,
        0.0,
    ]
    interaction = [self.rng.random() * np.pi / 8]
    z_angles = [self.rng.random() * np.pi / 8, self.rng.random() * np.pi / 8]
    prod = (
        canonical_matrix(*source_coordinate)
        @ np.kron(RZGate(2 * z_angles[0]).to_matrix(), RZGate(2 * z_angles[1]).to_matrix())
        @ canonical_matrix(interaction[0], 0.0, 0.0)
    )
    target_coordinate = weyl_coordinates(prod)
    self.assertAlmostEqual(target_coordinate[-1], 0.0, delta=EPSILON)
    return source_coordinate, interaction, target_coordinate