Do they satisfy? (Part 2)

Level pending

See Part 1 first if you haven't tried it.

\(P\) : Algebraic numbers

  1. \(2014^{2014}\)

  2. \(2 + \sqrt{2}\)

  3. \(3 + 5i\)

  4. \(\pi\)

  5. \(e\)

  6. \(\frac{1}{2}(1 + \sqrt{3}i)\)

  7. \(\sum_{k = 1}^{\infty}10^{-k!}\)

  8. \(2^{\sqrt{2}}\)

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