5. Find the reduced residue systems modulo $m=2^{6} \cdot 43$ of the form similar to equation (25) and equation (30).
$$\begin{array}{l}
\text { 5. } 3 \cdot 43(-1)^{r^{(-1)}} 5^{r^{(0)}}+(-2) \cdot 64 \cdot 3^{r^{(1)}} \text {, } \\
0 \leqslant \gamma^{(-1)} \leqslant 1,0 \leqslant \gamma^{(0)} \leqslant 15,0 \leqslant \gamma^{(1)} \leqslant 41 . \\
\tilde{g}_{-1}=3 \cdot 43 \cdot(-1)+(-2) \cdot 64=-257 \text {, } \\
\tilde{g}_{0}=3 \cdot 43 \cdot 5+(-2) \cdot 64=517 \text {, } \\
\tilde{g}_{1}=3 \cdot 43+(-2) \cdot 64 \cdot 3=-255 . \\
(-257)^{r^{(-1)}} 517^{r^{(0)}}(-255)^{r^{(1)}} \text {, } \\
0 \leqslant \gamma^{(-1)} \leqslant 1,0 \leqslant \gamma^{(0)} \leqslant 15,0 \leqslant \gamma^{(1)} \leqslant 41 .
\end{array}$$