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The two recorded and uploaded three videos in which they celebrated the death and laughed at those grieving for the fallen soldier.

Royal Barnes, 23, and his wife, Rebekah Dawson, 22, pleaded guilty to three counts of disseminating a terrorist publication last month.

Barnes has been sentenced to five years and four months in prison while his wife Rebekah Dawson was handed a 20-month sentence.

In one of the offensive videos, Dawson filmed Barnes gloating just hours after the killing in Woolwich, south-east London, on May 22 2013.

He is seen saying: “This is a brilliant day. It is the Muslim fight-back. Sharia law of Allah is coming.”

And referring to Rigby, he said: “That man is in the grip of hellfire and I am glad he is in hellfire.”

In a second video the following day, Dawson recorded Barnes saying: "We are fighting back and Sharia, Islamic law will come in.”

Dawson filmed her and Barnes a week later laughing hysterically as they drove past hundreds of flowers left at the murder scene.

“This is where a British soldier died.” Barnes is heard saying.

"They fail to realise that their foreign policy is the reason why this Lee Rigby is no more".

Barnes, who knew one of the murderers Michael Adebowale, also used Facebook to taunt Rigby's grievers.

He wrote: “Any1 who kills an invading soldier in Muslim land I will give them a Vauxhall Astra 3door and money (French British American any kaffir soldier take ur pick) [sic].”

Judge Brian Barker QC said the pair showed "a total and continuing disregard" for the effect the shocking video would have on both Lee Rigby's family and the general public.

Lee Rigby's killers Adebowale, 22, and Michael Adebolajo, 29, were given life sentences last month for the murder of Drummer Rigby.

Adebolajo received a whole life term with no chance of release while accomplice Adebowale was sentenced to a minimum of 45 years behind bars.

They ran the defenceless soldier down with their car then dragged him into the street and hacked him to death with a meat cleaver and knives before leaving his bloodied body in the road.

Adebolajo was then recorded talking to cameras in the road with blood on his hands.

When police arrived a shootout took place and the two Muslim converts were taken into custody.