Sinn Féin won the most number of first preference votes, with 24.5%
Many counts have yet to be completed, so final results will not be known until later
Sinn Féin leader Mary Lou McDonald has said she hopes to form a government without Fianna Fáil or Fine Gael
Things are wrapping up for the night at many counts, and we're wrapping up here too.
We'll re-join the Election 2020 team at RTÉ tomorrow at 10:00.
Thanks for joining us on a fascinating day in Irish politics.
Now, time to get some sleep.
Image source, PA MediaFine Gael's Simon Coveney, who is the tánaiste (Irish deputy PM) and foreign affairs minister, has been elected on the eight count in Cork South-Central.
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Social Democrats co-leader Catherine Murphy has been elected in Kildare North following the third count.
Image source, Niall Carson/PA WireAontú leader Peadar Tóibín has been elected in Meath West following the sixth count.
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Former junior minister Mary Mitchell O'Connor of Fine Gael has lost her seat in Dún Laoghaire.
'I've heard the people speak'
Micheál Martin was asked if it was still his position that his party would not go into government with Sinn Féin, but he would not be drawn into a definite answer.
Image source, Brian Lawless/PA WireSolidarity-PBP's Ruth Coppinger has been eliminated and the count is now complete in Dublin West.
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There's still a long way to go, but here's how things are looking at the moment.
Image source, BBC SportPeople Before Profit’s Richard Boyd Barrett has been elected in Dún Laoghaire.
There are now 20 votes separating Fine Gael's Mary Mitchell O'Connor and Fianna Fail's Cormac Devlin for the final seat.
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Chris Page
BBC News Ireland correspondent
Sunday evening is seeing a cascade of results from across the country.
Many early victories have gone to Sinn Féin, with no part of the country looking untouched by the party’s surge.
While the general picture is becoming clear, the final numbers will be determined by the process of numerical preferences trickling down through the various stages of the counts.
Sinn Féin surpluses will be very much in play here. The party was only running one candidate in many constituencies and the destination of the transfers from the successful runners is set to have an impact on what other parties take the seats.
The latest seat projection by University College Dublin, for RTÉ, puts Fianna Fail as the largest party on 45 seats, with Sinn Féin on 37 and Fine Gael on 36.
Plenty of counting is still to come.
With 45 seats filled in #GE2020, external, here's the state of the parties, via @rtenews, external.
Image source, RTÉSinn Féin candidates Pearse Doherty and Pádraig MacLochlainn have been elected on the first count in Donegal.
Image source, Niall Carson/PA WireFianna Fáil leader Micheál Martin has been elected in Cork South-Central on the sixth count.
Image source, Jeff J Mitchell/Getty ImagesFormer tánaiste and Labour Party leader Joan Burton has been eliminated on the fifth count in Dublin West.
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