无平方因子级数情形下弱全纯模形式空间的数据计算基础

本数据集围绕无平方因子水平的弱全纯模形式空间基展开，定义了精确除数群、符号模式及对应的模形式子空间，提出构造具有无穷远点最大消失阶的唯一形式Δₙ,ₖᵋ的方法，并提供其q展开式相关数据。数据按水平分类存储，每个水平对应不同符号模式与权的文本文件。

This dataset centers on the basis of the space of weakly holomorphic modular forms with square-free levels. We define the exact divisor group, sign patterns and the corresponding modular form subspaces, propose a method to construct the unique form $Delta_{n,k}^varepsilon$ with maximal order of vanishing at the cusp at infinity, and provide relevant data for its q-expansion. The data is classified and stored by level, where each level corresponds to text files associated with distinct sign patterns and modular weights.