In this paper, we explicitly calculate the highest degree term of the hyperbolic torsion polynomial of an infinite family of pretzel knots. This gives supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot. The verification of the genus part of the conjecture for this family of knots also follows from the work of Agol and Dunfield [1] or Porti [19].

中文翻译：

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椒盐脆饼结的双曲扭转多项式

在本文中，我们显式计算了无限大的椒盐卷饼结族的双曲扭转多项式的最高次项。这为邓菲尔德，弗里德尔和杰克逊的猜想提供了支持性证据，即双曲线扭转多项式决定了双曲线结的种类和纤维化程度。Agol和Dunfield [1]或Porti [19]的工作也验证了这一结类猜想的属部分。