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Convergent Complex Tetration Bases With the Most and Least Imaginary Parts
#1
Question 
What number complex a has the largest imaginary part, such that a tetrated to the tower of x converges?
What number complex a has the most negative imaginary part, such that a tetrated to the tower of x converges?
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ
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Sincerely: Catullus
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