E-027 — valley-detector stress test: bare onset immediate; tuned-carrier threshold pi/(2a) validated to <1%; pencil onset measured; localization at gamma*
08-19-2026 · 100 rows · script
research/numerics/scripts/E-027-detector.py
Metadata
Validation checks
| V1_control_a4.0_g23.0 | PASS |
| V2_bare_onset_a4.0_g23.0 | PASS |
| V2c_carrier_threshold_a4.0_g23.0 | PASS |
| V2b_pencil_a4.0_g23.0 | PASS |
| V3_localization_a4.0_g23.0 | PASS |
| V5_carrier_sign_a4.0_g23.0 | PASS |
| V1_control_a4.0_g51.4 | PASS |
| V2_bare_onset_a4.0_g51.4 | PASS |
| V2c_carrier_threshold_a4.0_g51.4 | PASS |
| V2b_pencil_a4.0_g51.4 | PASS |
| V3_localization_a4.0_g51.4 | PASS |
| V5_carrier_sign_a4.0_g51.4 | PASS |
| V1_control_a8.0_g23.0 | PASS |
| V2_bare_onset_a8.0_g23.0 | PASS |
| V2c_carrier_threshold_a8.0_g23.0 | PASS |
| V2b_pencil_a8.0_g23.0 | PASS |
| V3_localization_a8.0_g23.0 | PASS |
| V5_carrier_sign_a8.0_g23.0 | PASS |
| V1_control_a8.0_g51.4 | PASS |
| V2_bare_onset_a8.0_g51.4 | PASS |
| V2c_carrier_threshold_a8.0_g51.4 | PASS |
| V2b_pencil_a8.0_g51.4 | PASS |
| V3_localization_a8.0_g51.4 | PASS |
| V5_carrier_sign_a8.0_g51.4 | PASS |
| V4_independence | PASS |
Parameters
| N_ZEROS | 2500 |
| CASES | [[4.0, [19.0, 25.0]], [4.0, [45.0, 55.0]], [8.0, [19.0, 25.0]], [8.0, [45.0, 55.0]]] |
| N_EXTRA | 48 |
Chart
Data preview (100 rows total)
| a | gamma_star | gap | n_basis | delta | delta_crit | lambda_min | pencil_min | uhat_peak | uhat_contrast | carrier_quotient |
|---|---|---|---|---|---|---|---|---|---|---|
| 4.0 | 23.011 | 3.978 | 141 | 0.0 | 0.392699 | -4.699148164863311e-15 | 0.9999999999999953 | 24.33601981938578 | 3.126496662863684 | 6.5028944392794035 |
| 4.0 | 23.011 | 3.978 | 141 | 0.02 | 0.392699 | -0.03336162445118796 | 0.966638375548812 | 23.53601981938578 | 4.503652674410703 | 6.493917542440302 |
| 4.0 | 23.011 | 3.978 | 141 | 0.041 | 0.392699 | -0.1424994386889162 | 0.8575005613110838 | 23.53601981938578 | 4.578474353078731 | 6.464949377661066 |
| 4.0 | 23.011 | 3.978 | 141 | 0.061 | 0.392699 | -0.31909958239163005 | 0.68090041760837 | 23.53601981938578 | 4.538086851216394 | 6.418122603235078 |
| 4.0 | 23.011 | 3.978 | 141 | 0.082 | 0.392699 | -0.5841832535835126 | 0.41581674641648736 | 23.53601981938578 | 4.518589655080053 | 6.347623434717089 |
| 4.0 | 23.011 | 3.978 | 141 | 0.102 | 0.392699 | -0.916773296057523 | 0.083226703942477 | 23.53601981938578 | 4.538740282748837 | 6.258653216178323 |
| 4.0 | 23.011 | 3.978 | 141 | 0.122 | 0.392699 | -1.3329223832646222 | -0.3329223832646222 | 23.53601981938578 | 4.601494853927393 | 6.146448173834309 |
| 4.0 | 23.011 | 3.978 | 141 | 0.143 | 0.392699 | -1.867093344196109 | -0.8670933441961091 | 23.53601981938578 | 4.673566047066372 | 6.0009967595476965 |
| 4.0 | 23.011 | 3.978 | 141 | 0.163 | 0.392699 | -2.4769033856127014 | -1.4769033856127014 | 23.53601981938578 | 4.748198840315634 | 5.833091313921864 |
| 4.0 | 23.011 | 3.978 | 141 | 0.184 | 0.392699 | -3.234256161153213 | -2.234256161153213 | 23.53601981938578 | 4.740521485241123 | 5.622015158874409 |
| 4.0 | 23.011 | 3.978 | 141 | 0.204 | 0.392699 | -4.079202964904827 | -3.0792029649048267 | 23.53601981938578 | 4.637826510282407 | 5.383505856393286 |
| 4.0 | 23.011 | 3.978 | 141 | 0.225 | 0.392699 | -5.111571323520043 | -4.111571323520043 | 22.48601981938578 | 4.530275183790072 | 5.088235737042285 |
| 4.0 | 23.011 | 3.978 | 141 | 0.245 | 0.392699 | -6.249878263615289 | -5.249878263615289 | 22.48601981938578 | 4.4509641274762375 | 4.758332852299883 |
| 4.0 | 23.011 | 3.978 | 141 | 0.265 | 0.392699 | -7.558631038316395 | -6.558631038316395 | 22.48601981938578 | 4.367111046685953 | 4.3741417170731784 |
| 4.0 | 23.011 | 3.978 | 141 | 0.286 | 0.392699 | -9.140207792126644 | -8.140207792126644 | 22.48601981938578 | 4.33140801326023 | 3.9038592842098425 |
| 4.0 | 23.011 | 3.978 | 141 | 0.306 | 0.392699 | -10.870394206635455 | -9.870394206635455 | 22.51101981938578 | 4.240974447472954 | 3.3829904979204515 |
| 4.0 | 23.011 | 3.978 | 141 | 0.327 | 0.392699 | -12.95486306584291 | -11.95486306584291 | 22.51101981938578 | 4.1489802548014145 | 2.7480258725018603 |
| 4.0 | 23.011 | 3.978 | 141 | 0.347 | 0.392699 | -15.230496021228111 | -14.230496021228111 | 22.51101981938578 | 4.073539904155147 | 2.0471175724688493 |
| 4.0 | 23.011 | 3.978 | 141 | 0.368 | 0.392699 | -17.968542243468303 | -16.968542243468303 | 22.51101981938578 | 3.9766940631204326 | 1.195053608822581 |
| 4.0 | 23.011 | 3.978 | 141 | 0.388 | 0.392699 | -20.955538417405897 | -19.955538417405897 | 22.51101981938578 | 3.914998454778751 | 0.25670266780799034 |
| 4.0 | 23.011 | 3.978 | 141 | 0.408 | 0.392699 | -24.365836966357183 | -23.365836966357183 | 22.51101981938578 | 3.820346168490065 | -0.8236253374076984 |
| 4.0 | 23.011 | 3.978 | 141 | 0.429 | 0.392699 | -28.468396227240305 | -27.468396227240305 | 22.51101981938578 | 3.772086301001531 | -2.1332716753658505 |
| 4.0 | 23.011 | 3.978 | 141 | 0.449 | 0.392699 | -32.94516159202225 | -31.945161592022252 | 22.51101981938578 | 3.6948501201641855 | -3.572060449370019 |
| 4.0 | 23.011 | 3.978 | 141 | 0.47 | 0.392699 | -38.333399814565624 | -37.333399814565624 | 22.51101981938578 | 3.6048228573176 | -5.313940529964173 |
| 4.0 | 23.011 | 3.978 | 141 | 0.49 | 0.392699 | -44.216930187897155 | -43.216930187897155 | 22.51101981938578 | 3.6015427034536036 | -7.225347913995749 |