According to the question, x12 + x9 + x6 + x3 + 1 ⇒ (x3)4 + (x3)3 + (x3)2 + (x3) + 1 ⇒ (−1)4 + (-1)3 + (-1)2 + (-1) + 1 ⇒ 1 - 1 + 1 - 1 + 1 ⇒ 3 - 2 = 1
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