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Don't mix up polynomial variables with symbolic ones. Instead introduce your symbolic constants also as polynomial variables - like: R.<x,y,a> = PolynomialRing(QQ).

On a related note, polynomial machinery does not work over inexact fields like CC - use ZZ, QQ, AA or QQbar instead. See this answer for more details.

Don't mix up polynomial variables with symbolic ones. Instead introduce your symbolic constants also as polynomial variables - like: R.<x,y,a> = PolynomialRing(QQ).

On a related note, polynomial machinery does not work over inexact fields like CC - use ZZQQ, QQQQ[I], AA or QQbar instead. See this answer for more details.