CONCORD, N.H. — New Hampshire’s only death row inmate is asking the U.S. Supreme Court to review his case.

Lawyers for 35-year-old Michael Addison claim the trial judge violated his rights by not allowing jurors to hear evidence that he was remorseful and concerned about the Manchester police officer he shot in 2006 – Michael Briggs – after he was taken into custody.

In a petition filed Tuesday, they also challenge the trial judge’s conduct in letting the jury hear about privileges a convict sentenced to life in prison without possibility of parole might get behind bars, including television and work opportunities.

The New Hampshire Supreme Court upheld Addison’s conviction in 2013 and earlier this year ruled the death sentence was fair, when compared to other cases in which an officer was killed in the line of duty.

His lawyers also claim that the amount of victim impact testimony and evidence prosecutors introduced violated Addison’s rights. That evidence included numerous photographs of Briggs as a baby and a young child and 20 photographs and a video showing him playing with his children.

On Oct. 16, 2006, Addison was wanted by police for a string of violent crimes, including several armed robberies and a drive-by shooting.

Briggs was 15 minutes from the end of his shift when he and his partner – both on bicycle patrol – confronted Addison in a dark alley. Jurors found that Addison shot Briggs in the head at close range to avoid arrest.

The U.S. Supreme Court is not obligated to hear Addison’s appeal, and typically hears only a small fraction of roughly 7,000 petitions filed with the court each year.