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Algebra Level 5

If the polynomial \(p(x) = x^{8} + 98x^{4} + 1\) can be expressed by two factors with integer coefficients as \[p(x) = (ax^{4} + bx^{3} + cx^{2} + dx + e) (fx^{4} + gx^{3} + hx^{2} + ix + j)\] where \(a,b,c,d,e,f,g,h,i,j\) are integers.

Then find the value of \(|a+b+c+d+e+f+g+h+i+j|\).

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