East Devon District Council has reported comments made by one of its councillors, Graham Brown, to Police.
The Council is now waiting to find out whether Devon and Cornwall Police feel it is appropriate to investigate.
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Jeremy Corbyn's visit has been one of the big talking points of another busy day at Glastonbury.
The Labour leader said socialist politics would not be put "back in a box" as he appeared on stage at the festival.
Turning windier with a few showers