[{"type":"thinking","thinking":"Run it. Runtime estimate: zeros 2500 zetazero (first run ~1-2 min), W builds: 4 cases, up to 5000×500 besselj = 2.5M evals at dps 30 — besselj half-integer at large real arg... maybe 20-50µs → up to 2 min per case, ~8 min total. Risky for the ~10-min CLI kill. Run detached per memory (DETACHED_PROCESS + log, sandbox disabled).\n\nActually the uhat localization grid: 241 points × 500 basis evals per δ × 25 δ × 4 cases = 12M what() evals — WAY too slow (each is an mpmath besselj ~ 30µs → 6 min per case!). Need to optimize: precompute what on the grid once per case (241×500 = 120k evals, fine), then uhat = grid_matrix @ u (matrix-vector per δ — numpy fast). Let me restructure: build G_grid (241 × n_bas) once per case, uhat = |G_grid @ u|. Fix before running.\n\nAlso pair_outer per δ: 2×500 evals ×25 δ — trivial.\n\nAlso the localization uses vec u (numpy) times grid — good.\n\nEdit the script.","signature":""},{"type":"text","text":"One performance fix before running: the localization grid recomputes `what` per δ (12M mpmath calls — too slow). Precomputing the grid matrix once per case."},{"type":"tool_use","id":"Edit_56","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\numerics\\scripts\\E-027-detector.py","new_string":"        # carrier coefficients c_k = what_k(-(gamma*+kappa)) (real basis)\n        kap = mp.pi / (2 * a)\n        carrier = np.array([complex(what(k, -(mp.mpf(gstar) + kap), a))\n                            for k in range(n_bas)])\n        cnorm2 = float(np.vdot(carrier, carrier).real)\n\n        # precompute localization grid matrix once per case\n        zg = np.linspace(gstar - 3, gstar + 3, 241)\n        G_grid = np.zeros((len(zg), n_bas), dtype=np.complex128)\n        for j, z in enumerate(zg):\n            zm = mp.mpf(float(z))\n            for k in range(n_bas):\n                G_grid[j, k] = complex(what(k, zm, a))\n\n        lam_prev = d_prev = None\n        cross_bare = cross_pencil = None\n        for d in deltas:\n            P = pair_outer(gstar, d, a, n_bas)\n            Q = Q0 + P\n            Q = 0.5 * (Q + Q.conj().T)\n            lam, vec = np.linalg.eigh(Q)\n            lmin = float(lam[0])\n            lpencil = 1.0 + lmin\n            u = vec[:, 0]\n            uhat = np.abs(G_grid @ u)","old_string":"        # carrier coefficients c_k = what_k(-(gamma*+kappa)) (real basis)\n        kap = mp.pi / (2 * a)\n        carrier = np.array([complex(what(k, -(mp.mpf(gstar) + kap), a))\n                            for k in range(n_bas)])\n        cnorm2 = float(np.vdot(carrier, carrier).real)\n\n        lam_prev = d_prev = None\n        cross_bare = cross_pencil = None\n        for d in deltas:\n            P = pair_outer(gstar, d, a, n_bas)\n            Q = Q0 + P\n            Q = 0.5 * (Q + Q.conj().T)\n            lam, vec = np.linalg.eigh(Q)\n            lmin = float(lam[0])\n            lpencil = 1.0 + lmin\n            u = vec[:, 0]\n            zg = np.linspace(gstar - 3, gstar + 3, 241)\n            uhat = np.array([\n                abs(sum(u[k] * complex(what(k, mp.mpf(z), a))\n                        for k in range(n_bas))) for z in zg])","replace_all":false},"extra_content":null}]