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residue zero is represented by positive n" } ] }, { "curve": { "p": "2003", "name": "p2003", "n": "167", "G": { "x": "1394", "y": "1350" }, "curveOrder": "2004", "factorization": [ [ "167", 1 ] ], "primeOrder": true, "certificateMs": 4.675299999999993, "membership": "nQ=O; exact generator order; gcd(n,#E/n)=1", "discoveryAndCertificateMs": 9.957300000000004 }, "cases": [ { "P0": { "x": "1394", "y": "1350" }, "T": { "x": "1394", "y": "1350" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 11, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 202, "subgroupRejected": 21, "points": [ { "x": "1354", "y": "1391" }, { "x": "1394", "y": "1350" } ], "distinctFromTarget": [ { "x": "1354", "y": "1391" } ], "elapsedMs": 0.6440000000000055 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55164928, "heapTotal": 11051008, "heapUsed": 6681824, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55218176, "heapTotal": 11051008, "heapUsed": 6970536, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.12569999999999482, "elapsedMs": 0.12569999999999482, "totalIncludingEnumerationMs": 0.7697000000000003, "totalWithCurveCertificateMs": 10.727000000000004, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "1354", "y": "1391" }, "residue": "27", "positiveJ": "27", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1394", "y": "1350" }, "residue": "0", "positiveJ": "167", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55218176, "heapTotal": 11051008, "heapUsed": 6971472, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55234560, "heapTotal": 11051008, "heapUsed": 7006616, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55246848, "heapTotal": 11051008, "heapUsed": 7039776, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.030499999999989313, "solveAndVerifyMs": 0.023400000000009413, "elapsedMs": 0.05389999999999873, "totalIncludingEnumerationMs": 0.6979000000000042, "totalWithCurveCertificateMs": 10.655200000000008, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "1354", "y": "1391" }, "residue": "27", "positiveJ": "27", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1394", "y": "1350" }, "residue": "0", "positiveJ": "167", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55246848, "heapTotal": 11051008, "heapUsed": 7040560, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55255040, "heapTotal": 11051008, "heapUsed": 7079368, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55275520, "heapTotal": 11051008, "heapUsed": 7127648, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.035900000000026466, "solveAndVerifyMs": 0.03459999999995489, "elapsedMs": 0.07049999999998136, "totalIncludingEnumerationMs": 0.7144999999999868, "totalWithCurveCertificateMs": 10.67179999999999, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "1354", "y": "1391" }, "residue": "27", "positiveJ": "27", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1394", "y": "1350" }, "residue": "0", "positiveJ": "167", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "167", "j0": "excluded; residue zero is represented by positive n" }, { "P0": { "x": "936", "y": "1629" }, "T": { "x": "414", "y": "1717" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 11, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 192, "subgroupRejected": 14, "points": [ { "x": "414", "y": "1717" }, { "x": "441", "y": "1700" }, { "x": "476", "y": "1737" } ], "distinctFromTarget": [ { "x": "441", "y": "1700" }, { "x": "476", "y": "1737" } ], "elapsedMs": 0.8837000000000046 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55664640, "heapTotal": 11051008, "heapUsed": 6074584, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55693312, "heapTotal": 11051008, "heapUsed": 6396824, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.13980000000000814, "elapsedMs": 0.13980000000000814, "totalIncludingEnumerationMs": 1.0235000000000127, "totalWithCurveCertificateMs": 10.980800000000016, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "414", "y": "1717" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "441", "y": "1700" }, "residue": "135", "positiveJ": "135", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "476", "y": "1737" }, "residue": "139", "positiveJ": "139", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55697408, "heapTotal": 11051008, "heapUsed": 6397760, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55705600, "heapTotal": 11051008, "heapUsed": 6432904, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55721984, "heapTotal": 11051008, "heapUsed": 6564864, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.03350000000000364, "solveAndVerifyMs": 0.06419999999999959, "elapsedMs": 0.09770000000000323, "totalIncludingEnumerationMs": 0.9814000000000078, "totalWithCurveCertificateMs": 10.938700000000011, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "414", "y": "1717" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "441", "y": "1700" }, "residue": "135", "positiveJ": "135", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "476", "y": "1737" }, "residue": "139", "positiveJ": "139", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55721984, "heapTotal": 11051008, "heapUsed": 6565648, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55738368, "heapTotal": 11051008, "heapUsed": 6604456, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55816192, "heapTotal": 11051008, "heapUsed": 6786576, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.03850000000002751, "solveAndVerifyMs": 0.1518999999999835, "elapsedMs": 0.190400000000011, "totalIncludingEnumerationMs": 1.0741000000000156, "totalWithCurveCertificateMs": 11.03140000000002, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "414", "y": "1717" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "441", "y": "1700" }, "residue": "135", "positiveJ": "135", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "476", "y": "1737" }, "residue": "139", "positiveJ": "139", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "167", "j0": "excluded; residue zero is represented by positive n" }, { "P0": { "x": "1523", "y": "1895" }, "T": { "x": "1432", "y": "107" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 11, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 200, "subgroupRejected": 14, "points": [ { "x": "1432", "y": "107" }, { "x": "1509", "y": "28" }, { "x": "1523", "y": "108" } ], "distinctFromTarget": [ { "x": "1509", "y": "28" }, { "x": "1523", "y": "108" } ], "elapsedMs": 1.1461999999999932 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55382016, "heapTotal": 11051008, "heapUsed": 5770752, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55394304, "heapTotal": 11051008, "heapUsed": 6087160, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.1366000000000156, "elapsedMs": 0.1366000000000156, "totalIncludingEnumerationMs": 1.2828000000000088, "totalWithCurveCertificateMs": 11.240100000000012, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "1432", "y": "107" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "1509", "y": "28" }, "residue": "76", "positiveJ": "76", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1523", "y": "108" }, "residue": "145", "positiveJ": "145", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55394304, "heapTotal": 11051008, "heapUsed": 6088096, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55398400, "heapTotal": 11051008, "heapUsed": 6283232, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55406592, "heapTotal": 11051008, "heapUsed": 6254448, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.034000000000020236, "solveAndVerifyMs": 0.07969999999997412, "elapsedMs": 0.11369999999999436, "totalIncludingEnumerationMs": 1.2598999999999876, "totalWithCurveCertificateMs": 11.217199999999991, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "1432", "y": "107" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "1509", "y": "28" }, "residue": "76", "positiveJ": "76", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1523", "y": "108" }, "residue": "145", "positiveJ": "145", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55406592, "heapTotal": 11051008, "heapUsed": 6255232, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55164928, "heapTotal": 11051008, "heapUsed": 6294312, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6453424, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.046899999999993724, "solveAndVerifyMs": 0.09620000000001028, "elapsedMs": 0.143100000000004, "totalIncludingEnumerationMs": 1.2892999999999972, "totalWithCurveCertificateMs": 11.2466, "tableEntries": 13, "tablePayloadBytes": 230, "rows": [ { "Q": { "x": "1432", "y": "107" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "1509", "y": "28" }, "residue": "76", "positiveJ": "76", "j0Excluded": false, "exactTarget": false, "returnToStart": false }, { "Q": { "x": "1523", "y": "108" }, "residue": "145", "positiveJ": "145", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "167", "j0": "excluded; residue zero is represented by positive n" } ] }, { "curve": { "p": "4001", "name": "p4001", "n": "29", "G": { "x": "707", "y": "2326" }, "curveOrder": "4002", "factorization": [ [ "29", 1 ] ], "primeOrder": true, "certificateMs": 21.574399999999997, "membership": "nQ=O; exact generator order; gcd(n,#E/n)=1", "discoveryAndCertificateMs": 44.011399999999995 }, "cases": [ { "P0": { "x": "707", "y": "2326" }, "T": { "x": "707", "y": "2326" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 12, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 198, "subgroupRejected": 12, "points": [ { "x": "707", "y": "2326" } ], "distinctFromTarget": [], "elapsedMs": 0.9917999999999836 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5727736, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5775880, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.02389999999999759, "elapsedMs": 0.02389999999999759, "totalIncludingEnumerationMs": 1.0156999999999812, "totalWithCurveCertificateMs": 45.027099999999976, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "707", "y": "2326" }, "residue": "0", "positiveJ": "29", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5776816, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5795464, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5796640, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.018799999999998818, "solveAndVerifyMs": 0.0069000000000016826, "elapsedMs": 0.0257000000000005, "totalIncludingEnumerationMs": 1.017499999999984, "totalWithCurveCertificateMs": 45.02889999999998, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "707", "y": "2326" }, "residue": "0", "positiveJ": "29", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5797424, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5819296, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 5821080, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.032300000000020646, "solveAndVerifyMs": 0.015499999999974534, "elapsedMs": 0.04779999999999518, "totalIncludingEnumerationMs": 1.0395999999999788, "totalWithCurveCertificateMs": 45.05099999999997, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "707", "y": "2326" }, "residue": "0", "positiveJ": "29", "j0Excluded": true, "exactTarget": true, "returnToStart": true } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "29", "j0": "excluded; residue zero is represented by positive n" }, { "P0": { "x": "2097", "y": "161" }, "T": { "x": "2908", "y": "2003" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 12, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 214, "subgroupRejected": 14, "points": [ { "x": "2908", "y": "1998" }, { "x": "2908", "y": "2003" } ], "distinctFromTarget": [ { "x": "2908", "y": "1998" } ], "elapsedMs": 0.8452000000000055 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7292616, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7360096, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.030499999999989313, "elapsedMs": 0.030499999999989313, "totalIncludingEnumerationMs": 0.8756999999999948, "totalWithCurveCertificateMs": 44.88709999999999, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "2908", "y": "2003" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "2908", "y": "1998" }, "residue": "20", "positiveJ": "20", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7361032, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7379680, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7423296, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.013800000000003365, "solveAndVerifyMs": 0.025100000000009004, "elapsedMs": 0.03890000000001237, "totalIncludingEnumerationMs": 0.8841000000000179, "totalWithCurveCertificateMs": 44.89550000000001, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "2908", "y": "2003" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "2908", "y": "1998" }, "residue": "20", "positiveJ": "20", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7424080, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7446024, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 7510552, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.021800000000013142, "solveAndVerifyMs": 0.03619999999997958, "elapsedMs": 0.057999999999992724, "totalIncludingEnumerationMs": 0.9031999999999982, "totalWithCurveCertificateMs": 44.91459999999999, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "2908", "y": "2003" }, "residue": "5", "positiveJ": "5", "j0Excluded": false, "exactTarget": true, "returnToStart": false }, { "Q": { "x": "2908", "y": "1998" }, "residue": "20", "positiveJ": "20", "j0Excluded": false, "exactTarget": false, "returnToStart": false } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "29", "j0": "excluded; residue zero is represented by positive n" }, { "P0": { "x": "2450", "y": "3290" }, "T": { "x": "2106", "y": "825" }, "R": "100", "existence": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 10001, "fieldBits": 12, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 188, "subgroupRejected": 7, "points": [ { "x": "2106", "y": "825" } ], "distinctFromTarget": [], "elapsedMs": 0.9133000000000209 }, "methods": [ { "name": "walk", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6697736, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": null, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6753808, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0, "solveAndVerifyMs": 0.026499999999998636, "elapsedMs": 0.026499999999998636, "totalIncludingEnumerationMs": 0.9398000000000195, "totalWithCurveCertificateMs": 44.951200000000014, "tableEntries": 0, "tablePayloadBytes": 0, "rows": [ { "Q": { "x": "2106", "y": "825" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false } ] }, { "name": "bsgs", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6754744, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6773392, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6791648, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.015900000000016234, "solveAndVerifyMs": 0.013399999999990087, "elapsedMs": 0.02930000000000632, "totalIncludingEnumerationMs": 0.9426000000000272, "totalWithCurveCertificateMs": 44.95400000000002, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "2106", "y": "825" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false } ] }, { "name": "pohlig-hellman", "memoryBefore": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6792432, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfterSetup": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6814256, "external": 1736387, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55156736, "heapTotal": 11051008, "heapUsed": 6840904, "external": 1736387, "arrayBuffers": 137503 }, "setupMs": 0.017099999999999227, "solveAndVerifyMs": 0.018100000000004002, "elapsedMs": 0.03520000000000323, "totalIncludingEnumerationMs": 0.9485000000000241, "totalWithCurveCertificateMs": 44.95990000000002, "tableEntries": 6, "tablePayloadBytes": 98, "rows": [ { "Q": { "x": "2106", "y": "825" }, "residue": "8", "positiveJ": "8", "j0Excluded": false, "exactTarget": true, "returnToStart": false } ] } ], "allIndicesVerified": true, "firstPositiveReturn": "29", "j0": "excluded; residue zero is represented by positive n" } ] } ], "curveConstructionAndCertificationMs": 90.2648, "secp": { "status": "complete", "complete": true, "estimate": { "xValues": "201", "maxX": 201, "fieldBits": 256, "modularRootCalls": "201", "maximumRoots": "402" }, "xChecked": "201", "rootsChecked": 216, "subgroupRejected": 0, "points": [ { "x": "55066263022277343669578718895168534326250603453777594175500187360389116729240", "y": "32670510020758816978083085130507043184471273380659243275938904335757337482424" } ], "distinctFromTarget": [], "elapsedMs": 135.7975, "firstPositiveReturn": "115792089237316195423570985008687907852837564279074904382605163141518161494337", "membership": "SEC2 cofactor 1, prime order n; every candidate checked with nQ=O", "generalDlpAttempted": false }, "elapsedMs": 305.0893, "budget": { "maxX": 10001, "maxSmallP": 20000, "maxDlpOrder": 20000, "secpX": 201 }, "memoryNote": "tablePayloadBytes = measured UTF-16 key/value text payload, excludes JS Map/BigInt overhead; tableEntries exact. Each method records process heap/RSS before, after setup and after solving (includes runtime/output; deltas affected by GC, not exact allocation peaks). Node runner also records suite memory. Walk uses constant working points plus output.", "prediction": "No new predictor or fitted formula. All indices computed by exact algorithms.", "runtime": { "node": "v24.21.0", "platform": "win32", "arch": "x64", "wallMs": 305.6178, "memoryBefore": { "rss": 45670400, "heapTotal": 6594560, "heapUsed": 4358768, "external": 1659623, "arrayBuffers": 137503 }, "memoryAfter": { "rss": 55754752, "heapTotal": 11051008, "heapUsed": 7742016, "external": 1736387, "arrayBuffers": 137503 }, "sampledPeak": { "rss": 57769984, "heapTotal": 11051008, "heapUsed": 7984216, "external": 1736387, "arrayBuffers": 137503 }, "samplingMs": 5, "algorithmBoundarySnapshots": true, "note": "Whole suite process memory, includes engine/runtime/output; timer plus algorithm boundaries; synchronous work blocks timer; observed maximum, not exact peak allocation." } }