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[ Let alpha,beta be the roots of x^(2)-2x+5=0 and let S_(n)=alpha^(n)+beta^(n) for ngt=1, then the value of |[3,1+S_(2),1+S_(3)1+S_(2),1+S_(4),1+S_(5)1+S_(3),1+S_(5),1+S_(6)]| is equal to [ (1) -12544, (2) 12544 (3) -4704, (4) -4712]]

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