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FindInstance what inspite ?

• To: mathgroup at smc.vnet.net
• Subject: [mg83861] FindInstance what inspite ?
• From: Artur <grafix at csl.pl>
• Date: Mon, 3 Dec 2007 05:39:59 -0500 (EST)
• References: <fire9m$roc$1@smc.vnet.net> <200712020914.EAA07009@smc.vnet.net>
• Reply-to: Artur <grafix at csl.pl>

Who have idea what function uses inspite FindInstance in procedure?
\!\(FindInstance[Chop[N[Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + #1\^5 
&, 2] \
+ Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + #1\^5 &, 3], 500]] == a + b\
                Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + #1\^5 &,
                     1] + c\ Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + 
#1\^5 \
&, 1]^2 + d\
            Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + #1\^5 &, 1]^3 + e\
                    Root[\(-1\) - 2\ #1 - 2\ #1\^2 - #1\^3 + #1\^5 &,
                   1]^4 && a != 0, {a, b, c, d, e}, Integers]\)
And anser is empty set {}
Good answer  is {a,b,c,d,e}={-2,-3,-2,-1,2}
Who know how I can realize that procedure in Mathematica ?

Best wishes
Artur

• Follow-Ups:
  • Re: FindInstance what inspite ?
    • From: Daniel Lichtblau <danl@wolfram.com>
  • Re: FindInstance what inspite ?
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>

• References:
  • Re: Interpolation in 2 D, bug?
    • From: Hugh <h.g.d.goyder@cranfield.ac.uk>