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E-022b — valley analysis: K-diagonal dips at gammas, saturation Delta_inf=3.33

08-19-2026 · 4600 rows · script research/numerics/scripts/E-022b-valley-analysis.py

Metadata

Validation checks

V1_valleys_at_gamma PASS
V2_mass_concentrated PASS
V4_fit_quality PASS

Key values

4{'valley_depth': 2.1593140478568413, 'logK_at_gamma': -0.106956845297883, 'logK_at_midpoints': 2.0523572025589583, 'mass_frac_pm0.1': 0.6338714893637662, 'uniform_expectation': 0.09000000000000001, 'mass_ratio_vs_uniform': 7.043016548486291, 'within_bin_meanlogw': {'z10-60_d0.0-0.1': 0.05321233524569066, 'z10-60_d0.3-0.7': -1.7997896503200193, 'z120-200_d0.0-0.1': 0.10247759965464488, 'z120-200_d0.3-0.7': -1.7570525979064509}, 'elapsed_s': 2.9}
6{'valley_depth': 2.5087271936533595, 'logK_at_gamma': -0.04029578260580941, 'logK_at_midpoints': 2.46843141104755, 'mass_frac_pm0.1': 0.6986826134175042, 'uniform_expectation': 0.09000000000000001, 'mass_ratio_vs_uniform': 7.7631401490833785, 'within_bin_meanlogw': {'z10-60_d0.0-0.1': -0.10145611105454076, 'z10-60_d0.3-0.7': -2.4097253102207548, 'z120-200_d0.0-0.1': 0.029192545882919238, 'z120-200_d0.3-0.7': -2.314439077156247}, 'elapsed_s': 5.1}
8{'valley_depth': 2.7352201581877043, 'logK_at_gamma': 0.030554703235580436, 'logK_at_midpoints': 2.7657748614232847, 'mass_frac_pm0.1': 0.7251109123178877, 'uniform_expectation': 0.09000000000000001, 'mass_ratio_vs_uniform': 8.056787914643197, 'within_bin_meanlogw': {'z10-60_d0.0-0.1': -0.1389960979715335, 'z10-60_d0.3-0.7': -2.7392603482112916, 'z120-200_d0.0-0.1': -0.20043183472111312, 'z120-200_d0.3-0.7': -2.6451890375288283}, 'elapsed_s': 7.9}
10{'valley_depth': 2.8706885758089333, 'logK_at_gamma': 0.11948603922925684, 'logK_at_midpoints': 2.9901746150381903, 'mass_frac_pm0.1': 0.7251715332604941, 'uniform_expectation': 0.09000000000000001, 'mass_ratio_vs_uniform': 8.057461480672156, 'within_bin_meanlogw': {'z10-60_d0.0-0.1': -0.07371951844373904, 'z10-60_d0.3-0.7': -2.974563705268562, 'z120-200_d0.0-0.1': -0.2233480705431757, 'z120-200_d0.3-0.7': -2.8788847145178686}, 'elapsed_s': 11.4}
12{'valley_depth': 2.9442229398281423, 'logK_at_gamma': 0.22834844487190686, 'logK_at_midpoints': 3.172571384700049, 'mass_frac_pm0.1': 0.7241062961289328, 'uniform_expectation': 0.09000000000000001, 'mass_ratio_vs_uniform': 8.045625512543698, 'within_bin_meanlogw': {'z10-60_d0.0-0.1': -0.1831905054381875, 'z10-60_d0.3-0.7': -3.1605455546413452, 'z120-200_d0.0-0.1': -0.35321115246295404, 'z120-200_d0.3-0.7': -3.0663074224107776}, 'elapsed_s': 15.5}
V4_saturation_fit{'Delta_inf': 3.3338697242432738, 'c': 4.760242352939846, 'max_resid': 0.03176880509994007}
valley_depths{'4.0': 2.1593140478568413, '6.0': 2.5087271936533595, '8.0': 2.7352201581877043, '10.0': 2.8706885758089333, '12.0': 2.9442229398281423}

Chart

Data preview (4600 rows total)

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