Dedicated James Joseph Sylvester author record for source-checked modern LaTeX working editions and continuation artifacts. The current public reader surface promotes Volume I through book page 493, with editable TeX, source-scan slices, and continuation notes preserved in the source packet.Status at a glance. [########--] Volume I source-checked working edition: book pages 1-493; [#########-] source witness preservation: source slices and page images are available for the covered range; [###-------] remaining volumes and later pages: staged for continued transcription.This update adds book pages 476-493, continuing Paper 57 through the beginning of Art. 42. It also fixes a prior cumulative page 475 sign exponent and closes an old TeX grouping warning around an early table. The new range has no figures or standalone tables; symbolic displays are encoded in TeX, with source witnesses included for checking.