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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>