$\mathrm{\ell }$-Multiranks of Multipartite Quantum States via Tensor Flattening: A Mathematica Codebase

We present a Mathematica codebase for computing $\mathrm{\ell }$-multilinear ranks ($\mathrm{\ell }$-multiranks) of multiqudit quantum states using tensor-flattening techniques. By calculating the ranks of all bipartition-induced matricizations, the method provides an efficient criterion for detecting Genuine Multipartite Entangled (GME) states in systems with local dimension $d$. The code automatically generates all required tensor reshapes and outputs the full $\mathrm{\ell }$-multirank profile, offering a practical tool for characterizing entanglement in high-dimensional multiqudit systems.