← Session 5 — Phase 0: paper deep-read + Bombieri–Lagarias literature
thinking (1373 chars)
Timed out again — and only the FIRST line printed. So the stieltjes sweep itself never finished in 10 min at dps 1000! Earlier micro-test: stieltjes(2000) at dps 1200 took 0.6s — but that was following earlier calls (500, 1000) in the same process. Hmm — but here we call stieltjes(k) for ALL k = 0..2000 sequentially. Maybe the cost is per-k with no sharing: 2000 × 0.3s = 600s ✔ matches the timeout! mpmath's stieltjes caches per-(n, prec) but not across n.
Fix options:
1. Check how mpmath computes stieltjes: mpmath.stieltjes(n) — uses... in mpmath/libmp or functions/zeta.py: stieltjes computed via numerical differentiation of (ζ(s) − 1/(s−1)) at s=1? or via the formula with zeta derivatives. Each call O(something). Not shareable.
2. Use Arb instead: Arb's C library has acb_dirichlet_stieltjes (fast, rigorous) — but python-flint doesn't wrap it. Check python-flint 0.9: maybe flint.acb_dirichlet? No. Hmm — check `flint.arb` for 'stieltjes' again — earlier probe: arb methods printed only filtered ones; let me search 'stieltjes' across all of flint.
3. Write our own Stieltjes computation: γ_m via the contour/integration formula or via the log ξ jet... circular.
4. Reduce n_max to 1000 or 500 for this pass (stieltjes 0..500 ~ 150s? at dps 700...). Actually measure: time stieltjes sweep to 500 at dps 500 in-process.
Check flint for stieltjes wrapper first.
Timed out again — the per-k `mpmath.stieltjes` calls don't share work (2000 × ~0.3s). Checking if python-flint exposes Arb's native Stieltjes.
tool: Bash ok
input
{
"command": "cd D:/Python/Quantum && ./.venv/Scripts/python.exe -c \"\nimport flint\nhits = [m for m in dir(flint) if 'stiel' in m.lower()]\nprint('flint:', hits)\nfor mod in ['arb','acb','arb_poly','acb_poly','acb_series','arb_series']:\n try:\n ms = [m for m in dir(getattr(flint, mod)) if 'stiel' in m.lower() or 'zeta' in m.lower()]\n print(mod, ms)\n except Exception as e:\n print(mod, 'ERR', e)\n\"",
"description": "Search flint for stieltjes wrapper"
}
result 2026-08-18 05:06:21Z → 2026-08-26 20:49:36Z
real 0m35.527s user 0m0.030s sys 0m0.092s
raw content_json (database row)
[{"type":"thinking","thinking":"Timed out again — and only the FIRST line printed. So the stieltjes sweep itself never finished in 10 min at dps 1000! Earlier micro-test: stieltjes(2000) at dps 1200 took 0.6s — but that was following earlier calls (500, 1000) in the same process. Hmm — but here we call stieltjes(k) for ALL k = 0..2000 sequentially. Maybe the cost is per-k with no sharing: 2000 × 0.3s = 600s ✔ matches the timeout! mpmath's stieltjes caches per-(n, prec) but not across n.\n\nFix options:\n1. Check how mpmath computes stieltjes: mpmath.stieltjes(n) — uses... in mpmath/libmp or functions/zeta.py: stieltjes computed via numerical differentiation of (ζ(s) − 1/(s−1)) at s=1? or via the formula with zeta derivatives. Each call O(something). Not shareable.\n2. Use Arb instead: Arb's C library has acb_dirichlet_stieltjes (fast, rigorous) — but python-flint doesn't wrap it. Check python-flint 0.9: maybe flint.acb_dirichlet? No. Hmm — check `flint.arb` for 'stieltjes' again — earlier probe: arb methods printed only filtered ones; let me search 'stieltjes' across all of flint.\n3. Write our own Stieltjes computation: γ_m via the contour/integration formula or via the log ξ jet... circular.\n4. Reduce n_max to 1000 or 500 for this pass (stieltjes 0..500 ~ 150s? at dps 700...). Actually measure: time stieltjes sweep to 500 at dps 500 in-process.\n\nCheck flint for stieltjes wrapper first.","signature":""},{"type":"text","text":"Timed out again — the per-k `mpmath.stieltjes` calls don't share work (2000 × ~0.3s). Checking if python-flint exposes Arb's native Stieltjes."},{"type":"tool_use","id":"Bash_196","name":"Bash","input":{"command":"cd D:/Python/Quantum && ./.venv/Scripts/python.exe -c \"\nimport flint\nhits = [m for m in dir(flint) if 'stiel' in m.lower()]\nprint('flint:', hits)\nfor mod in ['arb','acb','arb_poly','acb_poly','acb_series','arb_series']:\n try:\n ms = [m for m in dir(getattr(flint, mod)) if 'stiel' in m.lower() or 'zeta' in m.lower()]\n print(mod, ms)\n except Exception as e:\n print(mod, 'ERR', e)\n\"","description":"Search flint for stieltjes wrapper"},"extra_content":null}]