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I don't understand this:

R.<T,U>=PolynomialRing(QQ)
Q=R.quo((T^2)) 
pi=Q.cover() 
pi(T)

-- returns Tbar

However:

R.<T>=PolynomialRing(QQ)
Q=R.Quo((T^2))
pi=Q.cover()
pi(T)

-- returns an error.

I don't understand this:

R.<T,U>=PolynomialRing(QQ)
Q=R.quo((T^2)) 
pi=Q.cover() 
pi(T)

-- returns Tbar

However:

R.<T>=PolynomialRing(QQ)
Q=R.Quo((T^2))
Q=R.quo((T^2))
pi=Q.cover()
pi(T)

-- returns an error.