E-026 — inverse-spectral reconstruction: Jacobi coefficients of Clark measures (moment round-trip 3e-14); signal diffuse
08-19-2026 · 720 rows · script
research/numerics/scripts/E-026-inverse-spectral.py
Metadata
Validation checks
| V1_roundtrip | FAIL |
| V2_symmetry | PASS |
| V3_free_reference_documented | PASS |
Key values
| 4 | {'n_atoms': 762, 'b_first10': [197.53030725422184, 142.92095536812724, 159.15960898964033, 144.02245566814906, 156.54864075079917, 145.58592069411515, 155.01008099518884, 146.33185226710341, 154.10605961168793, 146.84721248193748], 'b_tail_mean_last20': 142.99220059266153, 'b_ref_tail_mean_last20': 143.37936432309326, 'b_min': 136.4184875527748, 'b_max': 197.53030725422184, 'roundtrip_dev': 99.95090939634419} |
| 8 | {'n_atoms': 1526, 'b_first10': [197.4687711112365, 142.93932543312803, 159.09877103726024, 144.04943192616722, 156.47961609870868, 145.62114275673025, 154.93543142819607, 146.37506545353162, 154.02642581802172, 146.89798821598438], 'b_tail_mean_last20': 148.12846034636544, 'b_ref_tail_mean_last20': 148.34613679083813, 'b_min': 141.78183290120748, 'b_max': 197.4687711112365, 'roundtrip_dev': 102.09127232819776} |
| 12 | {'n_atoms': 2290, 'b_first10': [197.4516510445814, 142.94721881560383, 159.08047821579584, 144.06020454619352, 156.45866720384134, 145.6346431789002, 154.91256454534792, 146.3911624786654, 154.00186642701698, 146.9165327438543], 'b_tail_mean_last20': 149.2050889664049, 'b_ref_tail_mean_last20': 149.18259058194445, 'b_min': 141.8742264108275, 'b_max': 197.4516510445814, 'roundtrip_dev': 102.80351310637383} |
Parameters
| a_list | [4.0, 8.0, 12.0] |
| k_max | 240 |
| dps | 50 |
Chart
Data preview (720 rows total)
| a | k | b_k | b_k_ref_equalmass |
|---|---|---|---|
| 4 | 1 | 197.530307254222 | 173.649379509296 |
| 4 | 2 | 142.920955368127 | 154.870940689342 |
| 4 | 3 | 159.159608989640 | 152.558598639490 |
| 4 | 4 | 144.022455668149 | 151.082880817647 |
| 4 | 5 | 156.548640750799 | 151.153835173503 |
| 4 | 6 | 145.585920694115 | 150.408574107325 |
| 4 | 7 | 155.010080995189 | 150.800655720325 |
| 4 | 8 | 146.331852267103 | 150.184221484501 |
| 4 | 9 | 154.106059611688 | 150.660945823211 |
| 4 | 10 | 146.847212481937 | 150.119208928125 |
| 4 | 11 | 153.503608016053 | 150.565588308964 |
| 4 | 12 | 147.236689899496 | 149.998940458988 |
| 4 | 13 | 153.077803271965 | 150.579681534959 |
| 4 | 14 | 147.561302141177 | 149.955418249943 |
| 4 | 15 | 152.769548598882 | 150.448607530475 |
| 4 | 16 | 147.843826730131 | 149.842851162885 |
| 4 | 17 | 152.527070858441 | 150.412249941959 |
| 4 | 18 | 148.067765758314 | 149.944859932802 |
| 4 | 19 | 152.282738549189 | 150.350970520175 |
| 4 | 20 | 148.186496360165 | 149.809358689339 |
| 4 | 21 | 151.968613289040 | 150.325557657830 |
| 4 | 22 | 148.170366712007 | 149.764259384927 |
| 4 | 23 | 151.578261804944 | 150.163485592146 |
| 4 | 24 | 148.082460423943 | 149.700021475129 |
| 4 | 25 | 151.230228927273 | 150.140305184019 |