E-007 — Extended-precision positivity floor (T=200, Hann exact FT, dps40)
08-17-2026 · 4 rows · script
research/numerics/scripts/E-007-extended-precision-floor.py
Metadata
Smallest positive eigenvalue of Gabor-truncated Weil form at dps 40, Hann window (exact FT), T=200, bandwidths 0.5-2.0
Parameters
| T | 200.0 |
| lambdas | [0.5, 1.0, 1.5, 2.0] |
| dps | 40 |
| window | Hann (exact closed-form FT) |
Caveats
- small T=200: finite-L effects larger than E-006
- d > N' for lambda >= 1.5: dimensional deficiency
Chart
Data preview (4 rows total)
| lambda | d | N_prime | rank_above_noise | lambda_max | lambda_min_pos | minpos_over_mean | log10_ratio |
|---|---|---|---|---|---|---|---|
| 0.5 | 55 | 139 | 55 | 6.1994012 | 1.5420306e-5 | 6.949e-6 | -5.1581 |
| 1.0 | 110 | 139 | 110 | 3.2223071 | 3.1231559e-7 | 2.815e-7 | -6.5506 |
| 1.5 | 165 | 139 | 139 | 2.3616051 | 4.7386005e-31 | 5.396e-31 | -30.268 |
| 2.0 | 220 | 139 | 139 | 1.974842 | 1.7061162e-26 | 1.943e-26 | -25.712 |