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### Substituting variables in instances of elements of polynomial rings

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.

### Substituting variables in instances of elements of polynomial rings

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.

### Substituting variables in instances of elements of polynomial rings

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.

 4 None Max Alekseyev 6342 ●7 ●44 ●149

### Substituting variables in instances of elements of SymmetricFunctions of polynomial rings

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.

### Substituting variables in instances of elements of SymmetricFunctions of polynomial rings

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.