Standing Rules of the United States Senate, Rule XIII
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Reconsideration of a vote 
Paragraph 1 states that when a question has been decided by the Senate, any Senator voting with the prevailing side or who has not voted may move a reconsideration. This may occur on the same day or on either of the next two days of actual session. If the Senate refuses to reconsider such a motion, if a motion is withdrawn by leave of the Senate, or if upon reconsideration the Senate shall affirm its first decision, no further motion to reconsider shall be in order unless by unanimous consent. Every motion to reconsider shall be decided by a majority vote, and may be laid on the table without affecting the question in reference to which the same is made, which shall be a final disposition of the motion.
Return of a bill to the Senate 
Paragraph 2 states when a vote has been taken on a bill, resolution, report, amendment, order, or message and that item has left the possession of the Senate and been communicated to the United States House of Representatives, the motion to reconsider shall be accompanied by a motion to request the House of Representatives to return the same; which last motion shall be acted upon immediately without debate. If determined in the negative, it shall be a final disposition of the motion to reconsider.