Hello, my first polynomial root problem!

Algebra Level 4

\[\large 36x^{8} - 481x^{6} + 1466x^{4} - 481x^{2} + 36 = 0\]

Let \(a\) and \(b\) be the largest and smallest integral roots of the polynomial equation above respectively. Find the value of \(673a + b + 1\).

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