While looking through Stein's "Three Lectures" paper, I tried the examples in
\S 2.1.1. In particular, the last item, computing the order of the cubic
field's Galois group (72) seems to be straightforward when looking at the
paper. When I tried this in Sage 5.1, the computation twiddles away for
roughly 20 minutes, and then blows up, complaining that "you must specify the
name of the generator."
Has this changed since the paper was written? I've tried this on versions back
to 4.3 with the same results. (4.0 spends a whitish time computing an
extension as in the example ("K.<b>=QQ[a]"), and I didn't let the computation
complete).
Thanks.
Justin
--
Justin C. Walker, Curmudgeon at Large
Institute for the Absorption of Federal Funds
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I'm beginning to like the cut of his jibberish.
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