Table 2.

Elements $\sqrt[i]{2}$ of the $GF\left(257\right)$ field in representation using both positive and negative numbers.

$\sqrt[16]{2}$	$\sqrt[8]{2}$	$\sqrt[4]{2}$	$\sqrt[2]{2}$	${\left(\sqrt[16]{2}\right)}^{16}$
27	− 42	− 35	− 60	2
41	− 118	46	60	2
54	89	− 46	60	2
71	− 99	35	− 60	2
82	42	− 35	− 60	2
93	− 89	− 46	60	2
108	99	35	− 60	2
115	118	46	60	2
− 115	118	46	60	2