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Consider a where is a neighborhood of 0 in , is a identified to ker , being the 1-form: $\omega =dz-\frac{y^2}{2}dx$, and is a on which can be taken in the : $g=a\left(q\right)d{x}^2+c\left(q\right)d{y}^2$, , , $G_{{|}_{x=y=0}}=0$. In a previous article we analyze : ; we describe the , the and the . The objectif of this article is to provide a geometric and computational framework to analyze the general case. This frame is obtained by analysing three of the flat case which clarify the role of the three parameters $\alpha ,\beta ,\gamma$ in the where: $a={(1+\alpha y)}^2$, $c={(1+\beta x+\gamma y)}^2$....