Isabella Sorley, 23, has been sentenced to 12 weeks in jail and John Nimmo, 25 has been sentenced to eight weeks in jail - both with immediate effect - for subjecting high profile feminist campaigner Caroline Criado-Perez to online abuse.
Earlier this month the pair pleaded guilty to sending menacing tweets following Criado-Perez's campaign to ensure a woman featured on British bank notes.
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The Government said Judge Munby's plan to tag adults thought to be at risk of joining Islamic State was "novel".
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Frustrated NatWest customers have taken to Twitter after they were unable to login to their online banking today.