Winchester never choose to record the serial number by year of production for this model of rifle.I can say that the model 77 rifle was made from 1955-1963.The serial numbers began at Number 1001 and ran thru serial number 217,180.I would safely assume that your rifle was made in the 1950,s with the serial number provided.
UPDATE: Your rifle was manufactured in 1958. 1958 started with serial 55135. 1959 started with 73513.
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