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Algebra Level 5

Given that z,n,p z, n, p stand for the number of non-real, negative and non-negative roots of the equation 2014x2014+3021x10064028x=02014x^{2014}+3021x^{1006}-4028x=0, find the value of (z×3p)2014(mod10000) (z \times 3p)^{2014} \pmod {10000}

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