That \( 0 \neq 1 \) be a cube root of unity. Then the minimum of the set \( \left\{\left|a+b \om...

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That \( 0 \neq 1 \) be a cube root of unity. Then the minimum of the set \( \left\{\left|a+b \omega+c \omega^{2}\right|^{2}: a, b, c\right. \) are distinct non zero integers } equals
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