I want to do something like this:

R = PolynomialRing(QQ,'x');S.<a>=R.quotient(x^3+x+1);
T.<b>=QQ[]
b*a

Namely, create expressions mixing rational variables and elements of a 
quotient field over the rationals.

Doing something like this:

(3/4)*a

is fine, but the b*a, gives me 

TypeError: unsupported operand parent(s) for '*': 'Univariate Polynomial Ring 
in b over Rational Field' and
'Univariate Quotient Polynomial Ring in a over Rational Field with modulus x^3 
+ x + 1'


Is there a way to do what I want?

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