Easy groups (3/4) One can add an optional r2 to set a signature. Two sentinel values r2 = −1: all signatures together (default); r2 = −2: all signatures, given in a vector by increasing number of complex places. ? vK = nflist("S3", [1, 10^6]); #vK \\ in O(B1+ε ) %1 = 236858 ? v0 = nflist("S3", [1, 10^6], 0); #v0 \\ r2 = 0 %2 = 54441 ? v1 = nflist("S3", [1, 10^6], 1); #v1 \\ r2 = 1 %3 = 182417 ? v = nflist("S3", [1, 10^6], -2); ? apply(length, v) %5 = [54441, 182417] PARI/GP day 2021 (02/06/2021) – p. 9/14