You can be sure each political party will be picking over last night's results in detail to understand where they succeeded and failed.
But they are misguided if they try to predict how they might have fared in a general election, says Ian McLean, professor of politics at the University of Oxford.
"People say 'if there was a general election what do these results prove', I want to say absolutely nothing", Prof McLean told BBC Radio Oxford.
That warning aside, he said there was a pattern of areas which chose to leave the EU voting Conservative and areas which voted to remain backing Labour.
He mentioned West Oxfordshire and Swindon, where the Tories held control, as examples.
"Labour was quite confident of winning the council [in Swindon] and they failed to do so... And Swindon was a leave voting area."