Families of the victims of the 2012 Sandy Hook Connecticut school shooting filed a motion Friday asking a Connecticut judge to order controversial talk radio host Alex Jones to pay hefty punitive damages, on top of the nearly $1 billion in compensatory damages Jones has been ordered to pay by a jury in the defamation case. The families are seeking the “highest possible punitive damages award,” which by one metric has been calculated to be as high as $2.75 trillion.

“The wrongdoing in this case is historic in its scale, in the wrongdoers’ utter lack of repentance, and in the certainty of the wrongdoers’ intention to continue harming the plaintiffs,” the motion says.

While arguing that the punitive damages are generally assessed as a multiple of compensatory damages, the families will leave it for the jury to determine the exact amount of the punitive damages to be awarded.

Earlier this month, a Connecticut jury ordered the conspiracy theorist to pay the Sandy Hook victims and a first responder approximately $965 million in compensatory damages for years of claiming that the 2012 school shooting was a hoax and ‘staged’.

Jones’ lawyers argued for setting aside the verdict and filed for a new trial, contending that “the court’s ruling on pre-trial motions and its evidentiary rulings resulted in a complete abdication of the trial court’s role in assuring a fair trial and that the amount of the compensatory damages award exceeds any rational relationship to the evidence officered at trial.”

In another case involving similar charges, a Texas jury in August ordered Jones to pay $4.1 million in compensatory damages and $45.2 million in punitive damages to the parents of a Sandy Hook victim.