How to substitute variables in a rational function by numbers?
I have a program in which the first part needs to use a polynomial ring in a[1], ..., a[n]. In the last part of the program, I need to substitute a[i] in a rational function by some numbers. I define
Ra=PolynomialRing(QQ,'a',n0)
Fa=Ra.fraction_field()
a=Ra.gens()
For example, I have a rational function
r1=(a[1]^2+a[2])/(a[3]+2*a[4])
I tried the following:
a_random=[2,4,2,5]
for i in [1..4]:
a[i]=a_random[i-1]
But it has an error:
'tuple' object does not support item assignment
How to solve this problem? Thank you very much.
Like that
On a side note, indexing is Sage starts with 0, and so there is also variable
a[0]
.