\(\left\{{}\begin{matrix}H+HT=5161\\H-HT=365\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}H=2763\\HT=2398\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}2A+3G=2763=\left(2A+2G\right)+G\\N-2=2398=2A+2G-2\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}2A+3G=2763\\2A+2G=2400\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}A=T=837\\G=X=363\end{matrix}\right.\)
Số chu kì xoắn: N=2400 => C=N/20=2400/20=120(chu kì)