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We show how to extend the Karolyi-Nagy beautiful proof of theZeilberger-Bressoud q-Dyson theorem, (first proved by Zeilberger and Bressoudin 1985, and originally conjectured by George Andrews in 1975), that statesthat the constant term of a certain Laurent polynomial equals the q-multinomialcoefficient, how to evaluate any other specific coefficient. The algorithmimplies that any such coefficient is always a certain rational function (thatthe algorithm finds) times the q-multinomial coefficient.

How to Extend Karolyi and Nagy's BRILLIANT Proof of the  Zeilberger-Bressoud q-Dyson Theorem in order to Evaluate ANY Coefficient of  the q-Dyson Product