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I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.Macdonald.Ht(). I would now like to evaluate Ht for different relations between q, t, as an example. Or as a simpler example, I'd like to evaluate the qt_catalan function built in Sage with relations like q = t, q = 1/t or q=t=1. How do I go about achieving these? There are several computations that I'd like to maintain in a notebook, so I do not want to declare a quotienting in the base ring itself.

I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.Macdonald.Ht(). I would now like to evaluate Ht for different relations between q, t, as an example. Or as a simpler example, I'd like to evaluate the qt_catalan function built in Sage with relations like q = t, q = 1/t or q=t=1. How do I go about achieving these? There are several computations that I'd like to maintain in a notebook, so I do not want to declare a quotienting in the base ring itself.example.

I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.Macdonald.Ht(). I would now like to evaluate Ht for different relations between q, t, as an example.

I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.Macdonald.Ht()Sym.macdonald().Ht(). I would now like to evaluate Ht for different relations between q, t, as an example.

I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.macdonald().Ht(). I would now like to evaluate Ht for different relations between q, t, as . As an example.example, I would like to be able to compute Ht[2,1,1] with the substitution q -> q and t -> 1.