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Let alpha, beta be the roots of the equa...

Let `alpha, beta` be the roots of the equation`x^2 - sqrt 6 x + 3 = 0` such that `Im (alpha) >Im (beta)`. Let a, b be integers not divisible by 3 and n be a natural number such that `frac{alpha^(99)}{beta} + alpha^(98) = 3^n (a + ib)`, `i = sqrt(-1)` Then n + a + b is equal to _______.

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