Dedicated Heinrich Weber Lehrbuch der Algebra working record for the Modern LaTeX Editions of Mathematics Manuscripts project. It contains German source-transcription workpasses, English translation drafts, cumulative readers, source witnesses, repair ledgers, and historical repair packets.Current Volume I checkpoint: the front German PDF and grouped p88 package freeze the active pagewise content-fidelity pass through printed p88, with p89 next in the declared p1-p99 tranche. The p77-p88 delta rebuilds the structurally damaged and modernized section 23, restores omitted displays, rows, proof paragraphs, labels, and source notation, and removes fabricated tags and compact-summation rewrites. The package includes editable TeX, the 419-page German workpass, certification and method logs, an exact p76-to-p88 diff, twelve source pages, high-resolution crops, render checks, and checksums.Other volumes: the current public surface retains the unsynchronized Volume I English reader, Volume II German/English readers through section 176 with recursive repair packets, and the current repaired Volume III German/English cumulative readers. Historical repair packets remain available for provenance.Status: this is substantive source-witnessed working material, not OCR-only, but it is not a critical edition, whole-volume symbol-by-symbol certification, synchronized English edition, or publication-grade proofread edition. The current p1-p99 direct pass stops at p88. Later pages in the cumulative Volume I reader retain status from earlier repair lanes and are not re-certified by inclusion. The Volume I English reader predates many current German repairs.Corrections can be proposed through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.