← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
thinking (884 chars)
Continue to ii′-6. Per STATE.md NEXT ACTION: ii′-6 — the L0 assembly (D-064 R4/R5; D-062 layers L0–L3):
(i) the sides identity — the rectangle residue theorem `rectInt'_Jlag` (ii′-1b) on the zero-avoiding T (ii′-4 L3) with horizontal/vertical decay from the tight R-bound (ii′-5f capstone);
(ii) the bridge |λ_n(T)| ≤ 2·FAlt(T) (hRH : RHUpTo 3×10¹²);
(iii) |Sf n| ≤ Bn FAlt n on [10⁵, N₁] — the crux sf_eq_resW1 turns Sf into ResW1, and the contour pieces bound each side.
D-069 Finding 2's H(T) near-sum repair map (honest ≈ 7·Ĉ₀² vs baked 3·Ĉ₀²; margin survives via E-028's 26× slack) lives here.
Read first: D-062 (L0 triage), D-064 (R4/R5 routes), D-069 (the two findings).
This is a big design+implementation task. Start by reading D-062, D-064's R4/R5, D-069. These are large documents; let me read the relevant sections. Let me first check their sizes and section structures.
Continuing to ii′-6. Reading the design inputs first (D-062 L0 triage, D-064 R4/R5, D-069 findings).
tool: Bash
input
{
"command": "cd D:/Python/Quantum/research/derivations && wc -l D-062*.md D-064*.md D-069*.md && grep -n \"^## \\|^# \" D-062*.md | head -20 && echo \"=== D-064 ===\" && grep -n \"^## \\|^# \" D-064*.md | head -20 && echo \"=== D-069 ===\" && grep -n \"^## \\|^# \" D-069*.md | head -20",
"description": "Survey the three design docs"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Continue to ii′-6. Per STATE.md NEXT ACTION: ii′-6 — the L0 assembly (D-064 R4/R5; D-062 layers L0–L3):\n(i) the sides identity — the rectangle residue theorem `rectInt'_Jlag` (ii′-1b) on the zero-avoiding T (ii′-4 L3) with horizontal/vertical decay from the tight R-bound (ii′-5f capstone);\n(ii) the bridge |λ_n(T)| ≤ 2·FAlt(T) (hRH : RHUpTo 3×10¹²);\n(iii) |Sf n| ≤ Bn FAlt n on [10⁵, N₁] — the crux sf_eq_resW1 turns Sf into ResW1, and the contour pieces bound each side.\nD-069 Finding 2's H(T) near-sum repair map (honest ≈ 7·Ĉ₀² vs baked 3·Ĉ₀²; margin survives via E-028's 26× slack) lives here.\n\nRead first: D-062 (L0 triage), D-064 (R4/R5 routes), D-069 (the two findings).\n\nThis is a big design+implementation task. Start by reading D-062, D-064's R4/R5, D-069. These are large documents; let me read the relevant sections. Let me first check their sizes and section structures.","signature":""},{"type":"text","text":"Continuing to ii′-6. Reading the design inputs first (D-062 L0 triage, D-064 R4/R5, D-069 findings)."},{"type":"tool_use","id":"Bash_159","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/derivations && wc -l D-062*.md D-064*.md D-069*.md && grep -n \"^## \\|^# \" D-062*.md | head -20 && echo \"=== D-064 ===\" && grep -n \"^## \\|^# \" D-064*.md | head -20 && echo \"=== D-069 ===\" && grep -n \"^## \\|^# \" D-069*.md | head -20","description":"Survey the three design docs"},"extra_content":null}]