Sum of the common roots of \( z^{2006}+z^{100}+1=0 \) and \( z^{3}+...

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Sum of the common roots of \( z^{2006}+z^{100}+1=0 \) and \( z^{3}+2 z^{2}+2 z+1=0 \) is
(a) 0
(b) \( -1 \)
(c) 1
(d) 2
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