In this paper we define a set of numerical criteria for a handlebody link to be irreducible. It provides an effective, easy-to-implement method to determine the irreducibility of handlebody links; particularly, it recognizes the irreducibility of all handlebody knots in the Ishii-Kishimoto-Moriuchi-Suzuki knot table and most handlebody links in the Bellettini-Paolini-Paolini-Wang link table.

中文翻译：

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车把链接的数值不可约标准

在本文中，我们定义了一组不可约的把手链接的数值标准。它提供了一种有效、易于实施的方法来确定手柄连接的不可约性；特别是，它识别了 Ishii-Kishimoto-Moriuchi-Suzuki 结表中的所有把手节点和 Bellettini-Paolini-Paolini-Wang 链接表中的大多数把手节点的不可约性。