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Mathematica plaintext output

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107368] Mathematica plaintext output
  • From: nevjernik <hajde.da at mijenjamo.planetu>
  • Date: Thu, 11 Feb 2010 05:16:38 -0500 (EST)

Maybe this is trivial one, but I don't know how to interpret output of
following:

In:
Eigenvalues[{{1, 2, 3}, {2, 6, 4}, {3, 4, 5}}]

Out:
{Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 3],
 Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 2],
 Root[12 + 12 #1 - 12 #1^2 + #1^3 &, 1]}



WolframAlpha gives reasonable solutions:

lambda_1 = 4+(6 2^(2/3))/(17+i sqrt(143))^(1/3)+(2 (17+i
sqrt(143)))^(1/3)
lambda_2 = 4-(3 2^(2/3) (1-i sqrt(3)))/(17+i sqrt(143))^(1/3)-((1+i
sqrt(3)) (17+i sqrt(143))^(1/3))/2^(2/3)
lambda_3 = 4-(3 2^(2/3) (1+i sqrt(3)))/(17+i sqrt(143))^(1/3)-((1-i
sqrt(3)) (17+i sqrt(143))^(1/3))/2^(2/3)


And below that, there is "mathematica plaintext output":

{Root[12 + 12 #1 - 12 #1^2 + #1^3 & , 3, 0], Root[12 + 12 #1 - 12 #1^2
+ #1^3 & , 2, 0], Root[12 + 12 #1 - 12 #1^2 + #1^3 & , 1, 0]}


Ok, it is obviously some plaintext output of result, but how one can
deal with it in mathematica?

Thanks

--
ne vesele mene bez vas
utakmice nedjeljom




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