# Inspired by Nihar

Algebra Level 5

$\large x^{26} + 4x^{25} + 9x^{24} + 16x^{23} + ... + 676x + 729=0$

If $a_{1}$, $a_{2}$, $a_{3}$..., $a_{25}$, and $a_{26}$ are the roots of the equation above whose coefficients are of the form $n^{2}$, what is the constant of the monic polynomial whose roots are $1-a_{1}$, $1-a_{2}$, $1-a_{3}$, ... $1-a_{25}$, and $1-a_{26}$?

Kind of inspired by this problem.

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