The arc index of a knot is the minimal number of arcs in all arc presentations of the knot. An arc presentation of a knot can be shown in the form of a grid diagram which is a closed plane curve consisting of finitely many horizontal line segments and the same number of vertical line segments. The arc index of an alternating knot is its minimal crossing number plus two. In this paper, we give a list of minimal grid diagrams of the 11 crossing prime alternating knots obtained from arc presentations with 13 arcs.

中文翻译：

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11个交叉素数交替结的最小网格图

结的弧指数是结的所有弧表示中的最小弧数。节点的弧线表示可以以网格图的形式显示，网格图是由有限多个水平线段和相同数量的垂直线段组成的闭合平面曲线。交替结的弧指数是其最小交叉数加二。在本文中，我们给出了从具有 13 个弧的弧表示中获得的 11 个交叉素数交替结的最小网格图列表。