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The Northern Ireland Assembly election has shown the "clear desire by the overwhelming majority for inclusive, devolved government," according to the Secretary of State.
James Brokenshire made a statement on Saturday congratulating the 90 MLAs returned to Stormont.
"Everyone now has a shared responsibility to engage very closely and very intensively in the short period of time available to us to establish a new, strong, stable executive," he said.
Mr Brokenshire added that he would be speaking to party leaders later in the day, and keeping in contact with the Irish government as well.
Northern Ireland's politicians now have just three weeks to reach an agreement on a way forward at Stormont.
If they cannot do that, they could face either heading back to the polls - or a lengthy period of direct rule.
John O’Dowd has told UTV Sinn Féin will not nominate if the Arlene Foster is put forward as First Minister ahead of the RHI investigation.
DUP leader Arlene Foster has said she is looking to work with other parties to restore the NI Executive “in a way in which it will endure”.
Secretary of State James Brokenshire has warned that there is only a limited window in which to restore the NI Assembly and the Executive.