Pagina:Werkecarlf02gausrich.djvu/83

Si classificatio criterio in art. praec. prolato superstruitur, discrimen inter classes ${\textstyle B}$ et ${\textstyle D}$ inde pendebit, utram radicem congruentiae ${\textstyle xx\equiv -1{\pmod {p}}}$ pro numero characteristico ${\textstyle f}$ adoptemus.

11.

Quo facilius disquisitiones subtiliores, quas iam aggressuri sumus, per exempla illustrari possint, constructionem classium pro omnibus modulis infra 100 hic apponimus. Radicem primitivam pro singulis minimam adoptavimus.
${\textstyle {\begin{array}{rl}&{\begin{array}{c}p=5\\g=2,f=2\end{array}}\\{\begin{array}{l|}A\\B\\C\\D\end{array}}&{\begin{array}{r}1\\2\\4\\3\end{array}}\\&{\begin{array}{c}p=13\\g=2,f=8\end{array}}\\{\begin{array}{l|}A\\B\\C\\D\end{array}}&{\begin{array}{rrr}1,&3,&9\\2,&5,&6\\4,&10,&12\\7,&8,&11\end{array}}\\&{\begin{array}{c}p=17\\g=2,f=12\end{array}}\\{\begin{array}{l|}A\\B\\C\\D\end{array}}&{\begin{array}{rrrr}1,&4,&13,&16\\3,&5,&12,&14\\2,&8,&9,&15\\6,&7,&10,&11\end{array}}\\&{\begin{array}{c}p=29\\g=2,f=12\end{array}}\\{\begin{array}{l|}A\\B\\C\\D\end{array}}&{\begin{array}{rrrrrrr}1,&7,&16,&20,&23,&24,&25\\2,&3,&11,&14,&17,&19,&21\\4,&5,&6,&9,&13,&22,&28\\8,&10,&12,&15,&18,&26,&27\end{array}}\\\end{array}}}$