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1{2 "experiment": "orbit_quotient_counterexample",3 "timestamp_utc": "2026-11-01T05:51:00+00:00",4 "command": "theory/elliptic_curves/orbit_quotient_counterexample.py",5 "cwd": "/Users/simon-pierreboucher/Desktop/UQO/Recherche/Recherche-UQO/mathematiques/beyond-square-root-barrier",6 "seed": 34,7 "host": {8  "hostname": "MacBookPro-de-simon-pierre-2.local",9  "os": "Darwin 27.0.0 (27.0)",10  "machine": "arm64",11  "python": "3.12.13",12  "cpu": "Apple M5 Max",13  "cores": 18,14  "ram_gb": 48.015 },16 "software": {17  "numpy": "2.5.4",18  "scipy": "1.18.1",19  "sympy": "1.14.0",20  "gmpy2": "2.3.2",21  "z3": "5.3.3",22  "pysat": "1.9.dev17",23  "ecdsa": "0.19.2",24  "coincurve": "21.0.0"25 },26 "params": {27  "sizes": [28   16,29   20,30   2431  ]32 },33 "measurements": {34  "rows": [35   {36    "bits": 16,37    "p": "43597",38    "n": "43543",39    "beta": "2371",40    "trials": 500,41    "compatibility_failures": 500,42    "failure_rate": 1.0,43    "counterexample": {44     "P": [45      "29583",46      "35798"47     ],48     "Q": [49      "36240",50      "40019"51     ],52     "P+Q": [53      "29595",54      "12880"55     ],56     "phiP+Q": [57      "1804",58      "23209"59     ]60    },61    "orbit_size_check": true62   },63   {64    "bits": 20,65    "p": "607147",66    "n": "606559",67    "beta": "144315",68    "trials": 500,69    "compatibility_failures": 500,70    "failure_rate": 1.0,71    "counterexample": {72     "P": [73      "238078",74      "590766"75     ],76     "Q": [77      "235789",78      "584789"79     ],80     "P+Q": [81      "308363",82      "362284"83     ],84     "phiP+Q": [85      "137787",86      "138095"87     ]88    },89    "orbit_size_check": true90   },91   {92    "bits": 24,93    "p": "16399183",94    "n": "16391887",95    "beta": "6207282",96    "trials": 500,97    "compatibility_failures": 500,98    "failure_rate": 1.0,99    "counterexample": {100     "P": [101      "5741818",102      "5844338"103     ],104     "Q": [105      "8855015",106      "13127916"107     ],108     "P+Q": [109      "3690850",110      "11353890"111     ],112     "phiP+Q": [113      "1485374",114      "12766949"115     ]116    },117    "orbit_size_check": true118   }119  ]120 },121 "elapsed_s": 0.525122}
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