Can a plaintiff bring a complaint alleging that defendants conspired to deprive plaintiff of his constitutional rights?

"A complaint in a case like this must set forth facts showing some intentional and purposeful deprivation of constitutional rights. Snowden v. Hughes, 321 U.S. 1, 64 S.Ct. 397, 88 L.Ed. 497 (1944). This complaint does contain some general allegations, framed in broad language closely paralleling that used in (section) . . . 1985(3), that defendants successfully conspired to deprive plaintiff of his rights. But plaintiff was bound to do more than merely state vague and conclusionary allegations respecting the existence of a conspiracy. It was incumbent upon him to allege with at least some degree of particularity overt acts which defendants engaged in which were reasonably related to the promotion of the claimed conspiracy. . . . The allegations contained in the complaint indicate no more than the action of several interested parties to a workmen's compensation proceeding, who sought vigorously to protect their own interests, coupled with the normal administrative processes of adjudication and appeal. Indeed, were we to hold this complaint sufficient, we would be inviting every party to a state proceeding . . . to file a complaint in this court reciting the history of his state case and concluding with a general allegation of conspiracy. Moreover, with respect to plaintiff's claimed deprivation of equal protection, he has not even alleged any discrimination essential to a denial of this right." 327 F.2d at 137 (emphasis added).