I'm looking for a way to create a symbolic rational variable--it must be
possible, right? I want to do something like this:
R = PolynomialRing(QQ,'x');S.<a>=R.quotient(x^3+x+1);S1.<y> = S[];
(y^3+y+1)(y=a);
var('b1 b2 b3')
(b1+b2*a+b3*a^2)^2
and get
(b2^2+2*b1*b3-b3^2)*a^2+(2*b1*b2-2*b2*b4*b3-b3^2)*a+b1^2-2*b2*b3
barring typos.
I get the error "TypeError: unsupported operand parent(s) for '*':
'Symbolic Ring' and 'Univariate Quotient Polynomial Ring in a over Rational
Field with modulus x^3 + x + 1' "
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