Several of the late Gene Hackman‘s items were taken during a search after the bodies of him and his wife were found in their New Mexico home … and TMZ has obtained the full list.

According to police documents … deputies who conducted the search at the home took a thyroid medication, Tylenol and Diltiazem — a calcium-blocker used to treat high blood pressure and other heart-related issues.

Cops also took records from MyQuest — a healthcare website used to check test results, schedule appointments and keep track of one’s health history. A 2025 calendar and two cell phones were also taken.

As you know … authorities secured a search warrant after calling Gene and his wife’s Betsy‘s deaths “suspicious.”

Officers noted pills were scattered next to Arakawa’s body, a dog was dead inside the home and there were no obvious signs of a gas leak — all of which made them decide to investigate further.

Authorities rushed to the house Wednesday after receiving a “man down” call from a caretaker of their neighborhood who said he saw two motionless people inside the home. Authorities rushed into the unlocked home … and, found both Gene and Betsy obviously dead.

The sheriff and the fire chief both appeared on “TODAY” Friday morning … and, they admitted the couple may have been dead for days — even weeks.