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Genera of the arborescent links; Given a non-split oriented arborescent (often called algebraic, not be confused with complex algebraic) link we give an effective algorithm to construct a [italic]C[infinity symbol exponent] transversely oriented codimension one foliation [script]F on [italic]S3 - [italic]N̊([italic]L) such that [script]F is transverse to [partial derivative/boundary/degree of a polynomial symbol][italic]N̊([italic]L), [script]F and [script]F[[conditional event/restriction/such that symbol][partial derivative/boundary/degree of a polynomial symbol][italic]N̊([italic]L) have no Reeb components and some Seifert surface [italic]S is a compact leaf.