Extremely rough translation of Socrates (8)

I believe the answer is:

coarsest

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'extremely rough translation of socrates' is the definition.
I can't tell whether this definition defines the answer.

'of socrates' is the wordplay.
'of' indicates anagramming the letters (the answer comes from or 'of' the letters).
'socrates' with letters rearranged gives 'COARSEST'.

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(Other definitions for coarsest that I've seen before include "Most uncouth according to Socrates" , "Socrates in most unrefined form" , "most vulgar" , "Most rough" .)

I've seen this clue in The Hindu.

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