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Compare the shape of the bill with these (and other) observation:
Carrion Crow; http://ispot.org.uk/node/28052
The culmen (top) of a Carrion Crows bill is strongly curved, particularly towards the tip (as seen in this observation).
The bill of a Rook (even the black bill of a juvenile) tapers gradually towards the tip with no obvious curve.
Lat/Lng: 51.4, 0.1
OS grid ref: TQ4969