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Home » \(-2\omega^2 = -2(\omega - 1) = -2\omega + 2\) - DNSFLEX

\(-2\omega^2 = -2(\omega - 1) = -2\omega + 2\) - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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3^1 &\equiv 3 \mod 7 \\
3^2 &\equiv 9 \equiv 2 \mod 7 \\
3^3 &\equiv 3 \cdot 2 = 6 \mod 7 \\
3^4 &\equiv 3 \cdot 6 = 18 \equiv 4 \mod 7 \\
3^5 &\equiv 3 \cdot 4 = 12 \equiv 5 \mod 7 \\
3^6 &\equiv 3 \cdot 5 = 15 \equiv 1 \mod 7 \\
So the powers of $3 \mod 7$ repeat every 6 terms. The cycle length is...
The sum of one full cycle:
+ 2 + 6 + 4 + 5 + 1 = 21 \equiv 0 \mod 7
Since $24 = 4 \times 6$, the total sum modulo $7$ is:

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