We describe algorithms to represent and compute groups of Hecke characters. We make use of an id{\`e}lic point of view and obtain the whole family of such characters, including transcendental ones. We also show how to isolate the algebraic characters, which are of particular interest in number theory. This work has been implemented in Pari/GP, and we illustrate our work with a variety of explicit examples using our implementation.

翻译：我们描述算法以代表并计算赫克字符组。 我们使用 id ⁇ e}lic 观点, 并获得这些字符的全家族, 包括超凡字符。 我们还展示如何孤立代数字符, 它们对数字理论特别感兴趣。 这项工作已在Pari/ GP 中实施, 我们用我们执行时的各种明确例子来说明我们的工作 。