Recover polynomial from 1 root

[Tim Wessman]

(10-09-2018 12:37 PM)Albert Chan Wrote:  Using XCas simplify on root r, I were expecting little or no effect, but I get this:

r := sqrt(6) / (5^(1/3) + sqrt(3))
simplify(r)

=> rootof( [3018245, 37511698, ... (Total 12 numbers) ], [1, 0, -54, -20 ... (Total 13 numbers)]])

Does above have any relation to the polynomial that have r as a root ?

And hence you've discovered why we, after much persuasion, convinced Dr Parisse to turn "rootof" off in Prime. Nobody can understand WTH it is supposed to be describing or is useful for. Despite having heard the explanation many times it still is a mystery...