Listing elements of a finite ring.

[Gaurish Telang]

I am afraid I cannot seem to find the answer to the following question in the docs. 

Suppose I have finite ring? How do I list all its elements? e.g.

```

R = PolynomialRing(GF(97),'x')
x = R.gen()

p = lambda x: x^2+2
S = R.quotient(p(x), 'a')

```

I would like to list all the elements of the quotient ring S. Is there a function/method that allows listing elements of S?

 

[Emmanuel Charpentier]

No predefined method, but listing S’s elements seems easy :

sage: R1.<t>=GF(97)[]
sage: p=lambda x:x^2+2
sage: S=R1.quotient(p(t),'a')
sage: L=[u for u in S]
sage: len(L)
9409

HTH,

​

[Gaurish Telang]

Oh wow! That was easy! 

Thanks so much! 

G

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[John H Palmieri]

You can also do `list(S)`, or depending on what you're doing it might be better to iterate over its elements, as Emmanuel wrote: `for u in S...`