Kalam has logged all Isis-inspired activity in Libya since last July. It runs to 20 pages, and includes details of hostage videos, beheadings, public executions and processions of militants driving through towns flying the black flag now synonymous with Isis.
The think-tank says Isis now has a foothold in several towns from Tripoli to Benghazi and Sirte, as well as Darna in the east, which it controls.
In many ways, it is not surprising that Isis is gaining ground. Since Gaddafi's brutal overthrow in 2011, the country has barely been governable. Various regional and factional groups have tried to assert control and even the recognised Government has been forced to flee Tripoli and set up shop in the eastern town of Tobruk, more than 100km from the capital. It was run out of Tripoli by Libya Dawn, a loose coalition of Muslim Brotherhood types and officials from the west of the country.
The elected parliament sits in a hotel and describes its rival administration in Tripoli as a bunch of terrorists. UN-brokered talks are taking place in Geneva, and progress is slow.
"The failure of the political process has created a political vacuum," says Jason Pack, a researcher of Libyan history at Cambridge University. "There was no Isis in Libya until the failure of the political process."
Kalam estimates that there are already as many as 3000 fighters loyal to Isis in Libya, which is thought to be one of the largest contributors of men to the group's ranks in Syria and Iraq.
"They've been preparing this for a while. A lot of them fought with Isis in Syria and they're coming back home to Libya," Aaron Zelin, of the Washington Institute told ABC News.
- Independent,