Easy groups (2/4)
nflist(G, [A, B]) or nflist(G, ∆K). The group G = nTk is encoded by [n, k]. A
character string is accepted if G has a simple natural name, such as "C11", "S3" or "A4".
? vK = nflist("C3", [1, 10^10]); \\ in O(B1/2+ε)
time = 23 ms.
? # vK
%2 = 15851
? vK[1]
%3 = x^3 - x^2 - 2*x + 1
? nfdisc(%)
%4 = 49
? nflist("C3", (7 * 13)^2) \\ single discriminant
%5 = [x^3 - x^2 - 30*x + 64, x^3 - x^2 - 30*x - 27]
? vD = apply(nfdisc, vK); \\ sorted by increasing disc. in this case
time = 627 ms.
? nflist("J4", 1) \\ unsupported name
PARI/GP day 2021 (02/06/2021) – p. 8/14