We consider the twodimensional cone C {\displaystyle {}C} given by the edges R ≥ 0 ( 7 2 ) {\displaystyle {}\mathbb {R} _{\geq 0}{\begin{pmatrix}7\\2\end{pmatrix}}} and R ≥ 0 ( 5 6 ) {\displaystyle {}\mathbb {R} _{\geq 0}{\begin{pmatrix}5\\6\end{pmatrix}}} and the corresponding monoid C ∩ Z 2 {\displaystyle {}C\cap \mathbb {Z} ^{2}} . Determine the describing integral linear forms and the signatures of the cone.
