How to find Minimal Poly of a possible algebraic number?

*To*: mathgroup at smc.vnet.net*Subject*: [mg72094] How to find Minimal Poly of a possible algebraic number?*From*: titus_piezas at yahoo.com*Date*: Mon, 11 Dec 2006 04:55:31 -0500 (EST)

Hello all, Given x which you think is an algebraic number. Can you use Mathematica to find its minimal poly? The number I would like to test is: x = 19.05962891397391285670091722808301086216... I believe this is the root of either a quadratic or a quintic poly P(x). Of course, with an approximate number x one can always find a P(x) with large enough coefficients such that x is a root, but if you can find one with "small" coefficients, then that might be it. Any help will be appreciated. P.S. I tried the "Integer Relations" applet at http://www.cecm.sfu.ca/~aszanto/IntegerRelations/ but either there was a glitch in the server or my comp and I couldn't access it. :-( -Titus

**Follow-Ups**:**Re: How to find Minimal Poly of a possible algebraic number?***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>