The Symbols of Six-Gluon MHV Amplitudes through Nine Loops

Introduction This deposit contains a 7z archive encoding the symbols of the six-point BDS-like subtracted MHV amplitudes at two through nine loops in planar N=4 SYM theory. Contents (top-level files in the 7z archive) README.md hexagon_coproduct_entries_first_w.wxf (for $w=1,\ldots,12$)$\{w-1,1\}$ coproduct entries for the weight-$w$ symbol basis built from the first entries. hexagon_mhv_coproduct_entries_last_w.wxf (for $w=1,\ldots,6$)$\{1,w-1\}$ coproduct entries for the weight-$w$ symbol basis built from the MHV last entries. hexagon_mhv_sewing_hpk.wxfSewing matrices joining the weight-$h$ first basis and the weight-$k$ last basis for the $L$-loop MHV amplitude, with $h+k=2L$ and $L=2,\ldots,9$. hexagon_mhv_symbol_weight_18.wlWolfram Language script with instructions for loading the .wxf files and extracting individual symbol coefficients. FCE_blocks.tsv and MHV_LCE_blocks.tsvParity and dihedral representation-block metadata. TENSORS.tsv, manifest.json, and checksums.sha256Tensor properties, file metadata, and checksums. In the filenames above, w, h, and k are replaced by their numerical values. Archive format and usage The dataset is distributed as a 7-Zip (.7z) archive for efficient storage, which can be extracted using the free utility 7-Zip (Windows) or p7zip (Linux/macOS). The primary data files are in WXF Format (.wxf) for use with Mathematica/Wolfram Language, and can be imported directly using Import[filename, "WXF"]. For detailed usage instructions, please refer to hexagon_mhv_symbol_weight_18.wl and README.md.