Re: [sage-devel] An example in Stein's "Three lectures..."

2012-07-25 Thread Jeroen Demeyer
On 2012-07-25 09:10, David Loeffler wrote: > The hard question is to compute a defining > polynomial for the splitting field of f, identify all the roots of f > as elements of that field, and determine each element of the Galois > group in terms of how it acts on a single generator of the splitting

Re: [sage-devel] An example in Stein's "Three lectures..."

2012-07-25 Thread David Loeffler
On 25 July 2012 00:30, Justin C. Walker wrote: > 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 tr

[sage-devel] An example in Stein's "Three lectures..."

2012-07-24 Thread Justin C. Walker
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 f