If you believe what Hillary Clinton recently told FBI investigators, classified State Department information wound up on an unsecured e-mail system in her New York home after aide Huma Abedin took it upon herself in 2009 to task a young campaign functionary to slip into the basement and, without her knowing it, set up a private e-mail server to run as a parallel system.

This was all done without her authorization, Clinton claimed, and for reasons unbeknown to her.

The FBI, which refused to file charges against Clinton, apparently bought the far-fetched alibi — hook, line and server.

“Clinton was not involved in the decision to move to a server built by Bryan Pagliano,” the FBI said in newly released notes of a July 2 interview with her. “Therefore, Clinton had no knowledge of the reason for selecting to install it in the basement of Clinton’s New York residence.”

Clinton even insisted “she could not recall ever contacting Pagliano for technical support.”

But records show she personally paid Pagliano for work performed at her home in 2009, 2011 and 2012.

Lying to a federal agent is a felony.

In another bout of amnesia, Clinton told agents she “could not recall any briefing or training by State related to the retention of federal records or handling of classified information.”

Yet on Jan. 22, 2009, State records show, she signed a “Classified Information Nondisclosure Agreement” that included a briefing by a diplomatic security officer covering the “retention” and “handling of classified information.”

The then-secretary of state acknowledged in the document, uncovered by Judicial Watch, that unauthorized retention or negligent handling of government secrets could lead to the “termination of any security clearances” and even prosecution.

At one point in their interview, agents showed Clinton a 2012 State e-mail that was sent through her private unsecured server that was classified at the “confidential” level. Pleading ignorance again, she claimed she did not know what the “C” marking stood for next to a paragraph within the document.

“When asked of her knowledge regarding Top Secret, Secret and Confidential classification levels of US government information,” the FBI notes say, “Clinton responded that she did not pay attention to the ‘level’ of classified information.”

But another document Clinton signed reveals she received an in-depth briefing on the levels.

On Jan. 22, 2009, Clinton signed a “SECURITY BRIEFING/DEBRIEFING ACKNOWLEDGMENT” form stating, “I hereby acknowledge that I was briefed on the above SCI Special Access Program(s).” SCI stands for sensitive compartmented information, or material so restricted it can only be viewed in a highly secured room called a SCIF.

The document indicates that a diplomatic security officer briefed Clinton on programs marked at the highest classification levels.

“I have been advised that negligent handling of SCI by me could cause irreparable injury to the United States or be used to advantage by a foreign nation,” Clinton acknowledged.

Yet dozens of e-mails containing SCI-level information were found on her homebrew server.

When FBI Director James Comey in July announced he didn’t have enough evidence to make negligence charges stick against Clinton, the media assumed that meant she was cleared of any guilt.

But in a 47-page report detailing its investigation, the FBI reveals what he really meant was the evidence he sought had been destroyed.

Cellphones carrying e-mails from her private server were destroyed “by breaking them in half or hitting them with a hammer.” And e-mails covering nearly the first three months of Clinton’s tenure at State were destroyed when the computer containing them was “discarded.”

Clinton is not out of the woods yet. She has until Sept. 29 to file written answers, under oath, to questions posed by Judicial Watch in a civil lawsuit the watchdog group filed in federal court over State’s alleged failure to comply with FOIA requests. Last month, US District Judge Emmet Sullivan, a Clinton appointee, ordered her testimony.