Emmy Noether: Modern LaTeX Drafts and English Translation Working Drafts

Dedicated Emmy Noether record for the Modern LaTeX Editions of Mathematics Manuscripts project. This version keeps the curated reader-facing working surface and adds RA31, a Paper 02 Tabelle I source-audit packet following the RA30 table-plate layout/audit package. Current reader files. The main cumulative readers and standalone English paper PDFs remain the reader-facing surface. RA25-RA31 are correction/audit tranches for the German/source branch of Paper 02, not full multilingual propagation packages. Latest correction package. Adds N_SYM_RA31_P02_tableI_20260612.zip. RA31 source-checks Paper 02 Tabelle I on printed/source p.91 against high-DPI source images and corrects six cell-level issues: source-visible middle-dot products, an erroneous L_j square, an eta/ell subscript error, an H-exponent error, and one transvectant argument. Status at a glance. This is not a certified critical edition. The files are useful working drafts, translation drafts, and source-audit correction packets; subtle formula errors, scan-reading errors, apparatus drift, and cross-language synchronization errors may remain. Verify important equations, tables, theorem statements, and unusual notation against the source witnesses before citation-critical use. Known open items. Paper 02 body pp.23-90 is closed at the RA29/RA30 base, and Tabelle I p.91 is source-checked at RA31. Tabelle II p.92 remains open. Non-German propagation to EN/ES/JA/FR/ZH remains queued until Paper 02 plates close. Full symbol-level source audit remains open beyond Paper 01 and the current Paper 02 tranches. Corrections and collaboration. Source comparisons, LaTeX fixes, translation corrections, and reader-facing issue reports can be suggested through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.