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The men crammed into poorly fortified jails such as this one in Hasakeh hail from dozens of countries that don't want them free - but don't want them back either.
With 5,000 inmates - Syrian, Iraqi, but also British, French, German - the prison is bursting with the flotsam of the international jihadist army raised five years ago.
The group is accused of carrying out widespread atrocities in the territory it once controlled across Iraq and Syria, including mass executions, rape, enslavement and torture, much of it filmed for propaganda.
'I want to go back to Britain,' Mathan said, adding he wished he hadn't answered the call to arms issued in 2014 by Baghdadi, who according to the US was killed hours after the young Welshman spoke to AFP.
Only around 300 of them can spend the night in the medical ward, among them Aballah Nooman, a 24-year-old Belgian who lifts his T-shirt to show an open wound.
'My organs are spilling out,' he says, explaining that he sustained the wound from a fellow jihadist who accidentally shot him while cleaning his weapon.