back to table · edit · history · where entries came from · files · download
11776 bytes, as of the version from 2026-11-02 17:11 (current). Recorded here, not run.
{
"table": "T681",
"dps": 50,
"absolute_tolerance": "1e-40",
"method": "mpmath tanh-sinh; Mobius log-sine sum; split at j/n; combined second and third moments",
"mpmath_version": "1.4.1",
"values": [
{
"n": 1,
"m2": "0.822467033424113218236207583323012594609474951",
"m3": "-1.80308535473939142809960724226717498614747944",
"absolute_errors": [
"2.3154814e-52",
"1.0654389e-49"
],
"seconds": 0.005
},
{
"n": 3,
"m2": "1.09662271123215095764827677776401679281263327",
"m3": "-1.88116761418585346230829113949559644136692799",
"absolute_errors": [
"3.0873085e-52",
"1.0997581e-49"
],
"seconds": 0.092
},
{
"n": 5,
"m2": "1.31594725347858114917793213331682015137515992",
"m3": "-1.63666166205946302510656133423525420122058344",
"absolute_errors": [
"1.6407593e-52",
"1.4971409e-49"
],
"seconds": 0.09
},
{
"n": 7,
"m2": "1.4099434858699083741192129999823073050448142",
"m3": "-1.40700056482607767020709918642354951871314716",
"absolute_errors": [
"7.7876319e-52",
"1.6691712e-49"
],
"seconds": 0.118
},
{
"n": 11,
"m2": "1.49539460622566039679310469695093199019904536",
"m3": "-1.09843074785315847085842398311329794380423729",
"absolute_errors": [
"1.78018e-52",
"1.8024576e-49"
],
"seconds": 0.179
},
{
"n": 13,
"m2": "1.51840067709067055674376784613479248235595375",
"m3": "-0.992903952594442249649358279429280618342812818",
"absolute_errors": [
"1.8340967e-51",
"1.8557994e-49"
],
"seconds": 0.222
},
{
"n": 15,
"m2": "1.75459633797144153223724284442242686850021323",
"m3": "-2.07485500690615601360446529965184605873630331",
"absolute_errors": [
"4.2358399e-51",
"1.0281907e-49"
],
"seconds": 0.465
},
{
"n": 17,
"m2": "1.54817323938656605785639074507861194279430579",
"m3": "-0.837190900893298389532190532688810224581819031",
"absolute_errors": [
"3.5809047e-53",
"1.8930874e-49"
],
"seconds": 0.27
},
{
"n": 19,
"m2": "1.55835858964568820297386699998044491610216306",
"m3": "-0.777963602600881624926932611242575369600593515",
"absolute_errors": [
"2.1267847e-51",
"1.9221768e-49"
],
"seconds": 0.322
},
{
"n": 21,
"m2": "1.8799246478265444988256173333097430733930856",
"m3": "-1.86565475048463273489269586305656268413659322",
"absolute_errors": [
"2.5253354e-51",
"1.1981671e-49"
],
"seconds": 0.617
},
{
"n": 23,
"m2": "1.57341519437656441749535363766141539838334338",
"m3": "-0.683668094979558561220228519241582928328205126",
"absolute_errors": [
"5.4398696e-51",
"1.9994235e-49"
],
"seconds": 0.397
},
{
"n": 29,
"m2": "1.5882122024741496628009525746927139757976068",
"m3": "-0.58167072423193956116724708873483384460641756",
"absolute_errors": [
"4.4712743e-52",
"1.941591e-49"
],
"seconds": 0.52
},
{
"n": 31,
"m2": "1.59187167759505784174749854836712115085704829",
"m3": "-0.554761287458738255797862939509851576955095466",
"absolute_errors": [
"7.9303055e-52",
"2.0048662e-49"
],
"seconds": 0.492
},
{
"n": 33,
"m2": "1.99385947496754719572413959593457598693206049",
"m3": "-1.43123881485901215775595481622228430166390857",
"absolute_errors": [
"2.0192005e-51",
"1.2820321e-49"
],
"seconds": 0.954
},
{
"n": 35,
"m2": "2.25590957739185339859074079997169168807170272",
"m3": "-1.95383680708272086922242227141686691382411207",
"absolute_errors": [
"4.0995083e-51",
"1.4112437e-49"
],
"seconds": 0.933
},
{
"n": 37,
"m2": "1.60047638936584193818937691889883531924005936",
"m3": "-0.488400050227959431111249910318031859003020304",
"absolute_errors": [
"1.715885e-53",
"2.0308608e-49"
],
"seconds": 0.582
},
{
"n": 39,
"m2": "2.02453423612089407565835712817972330980793834",
"m3": "-1.31288197740004267225274613120966255490678096",
"absolute_errors": [
"6.6361907e-52",
"1.2697574e-49"
],
"seconds": 1.075
},
{
"n": 41,
"m2": "1.60481372375436725509503918697173189192092673",
"m3": "-0.453107719110562729634972958238034363784656524",
"absolute_errors": [
"3.1988042e-51",
"2.012065e-49"
],
"seconds": 0.641
},
{
"n": 43,
"m2": "1.60667978622384907748468458137518739412083479",
"m3": "-0.437499211816898220466862446100442124855850631",
"absolute_errors": [
"2.7176967e-51",
"2.0303568e-49"
],
"seconds": 0.772
},
{
"n": 47,
"m2": "1.60993546968124289527087441841951401498024884",
"m3": "-0.409604855413735814327470980473624470871989012",
"absolute_errors": [
"1.4768552e-51",
"1.9796469e-49"
],
"seconds": 0.813
},
{
"n": 51,
"m2": "2.06423098584875474380852099343814925705907439",
"m3": "-1.09744821501619362432861040427316135607598103",
"absolute_errors": [
"5.297784e-51",
"1.3177684e-49"
],
"seconds": 1.427
},
{
"n": 53,
"m2": "1.61389757502090140936916205029421339319595085",
"m3": "-0.374421561900308455803495862052598947942871706",
"absolute_errors": [
"1.3611042e-51",
"2.0940488e-49"
],
"seconds": 0.847
},
{
"n": 55,
"m2": "2.39263136996105663486896751512149118431847258",
"m3": "-1.80123103646754282825997344194966755385123871",
"absolute_errors": [
"4.5612523e-51",
"1.4903281e-49"
],
"seconds": 1.559
},
{
"n": 57,
"m2": "2.07781145286091760396515599997392655480288409",
"m3": "-1.0282566767142487674366913347696095230143619",
"absolute_errors": [
"8.1812424e-51",
"1.3295859e-49"
],
"seconds": 1.565
},
{
"n": 59,
"m2": "1.61705382842707005619322168924524510126608634",
"m3": "-0.345315200921911599148257525354084929641784439",
"absolute_errors": [
"2.8562053e-51",
"2.0523074e-49"
],
"seconds": 0.93
},
{
"n": 61,
"m2": "1.61796793460481288833352311473379526808421302",
"m3": "-0.33669033619288900111897744814229054675629444",
"absolute_errors": [
"2.2519529e-51",
"2.0340255e-49"
],
"seconds": 0.987
},
{
"n": 65,
"m2": "2.42944108334507289079002855381566797176952601",
"m3": "-1.41460650779960114018946624531830353896049723",
"absolute_errors": [
"1.3418689e-51",
"1.4755234e-49"
],
"seconds": 1.803
},
{
"n": 67,
"m2": "1.62038281211914842995790150744235317146941334",
"m3": "-0.313449252950894705898219876268777838016269701",
"absolute_errors": [
"9.715629e-53",
"2.0403935e-49"
],
"seconds": 1.071
},
{
"n": 69,
"m2": "2.09788692583541922332713818354855386451112451",
"m3": "-0.898607576495760429972380115567270539383113258",
"absolute_errors": [
"1.2578689e-52",
"1.3037477e-49"
],
"seconds": 1.892
},
{
"n": 71,
"m2": "1.62176598139965986694463467134115159500459849",
"m3": "-0.299820594288700578120787633942142103810658904",
"absolute_errors": [
"5.6515249e-51",
"2.1084599e-49"
],
"seconds": 1.269
},
{
"n": 73,
"m2": "1.62240072346674388254813550682895635101047114",
"m3": "-0.293484270538906949260448582760382454944030532",
"absolute_errors": [
"4.2279137e-51",
"2.056993e-49"
],
"seconds": 1.163
},
{
"n": 77,
"m2": "2.56353361067256068021675090905874055462693491",
"m3": "-1.55161809369671411509127736713379427772307481",
"absolute_errors": [
"8.7052914e-51",
"1.6018347e-49"
],
"seconds": 2.334
},
{
"n": 79,
"m2": "1.62411211663495774740314408858721474378579864",
"m3": "-0.276128498163109414203871591849081373916759372",
"absolute_errors": [
"1.742868e-51",
"2.065392e-49"
],
"seconds": 1.354
},
{
"n": 83,
"m2": "1.625115584115115274587205345361133319469324",
"m3": "-0.265757818199942582220151530981513220425936874",
"absolute_errors": [
"7.2065555e-51",
"2.054601e-49"
],
"seconds": 1.433
},
{
"n": 85,
"m2": "2.47707718301850569257022519212577910847088926",
"m3": "-1.21543638473769624333897780340038264183059163",
"absolute_errors": [
"2.1955062e-51",
"1.5741231e-49"
],
"seconds": 2.408
},
{
"n": 87,
"m2": "2.11761626996553288373460343292361863439680907",
"m3": "-0.765725454405207327729577979035630660799076064",
"absolute_errors": [
"5.9416993e-51",
"1.438645e-49"
],
"seconds": 2.482
},
{
"n": 89,
"m2": "1.62645166160274074617497229960505861405918642",
"m3": "-0.25171159895896991228388849346765824120074232",
"absolute_errors": [
"4.5120866e-51",
"2.039712e-49"
],
"seconds": 1.397
},
{
"n": 91,
"m2": "2.60297258929829238298931630765964425546734929",
"m3": "-1.74632662027145393249089099925157777226154509",
"absolute_errors": [
"1.4377167e-51",
"1.7271939e-49"
],
"seconds": 2.593
},
{
"n": 93,
"m2": "2.12249557012674378899666473115616153447606439",
"m3": "-0.733338273458878576713533865881880027939973403",
"absolute_errors": [
"2.5063122e-51",
"1.3616746e-49"
],
"seconds": 2.661
},
{
"n": 95,
"m2": "2.4933737434331011247581871999687118657634609",
"m3": "-1.23747890368980323639928623349772245470864799",
"absolute_errors": [
"8.7356801e-52",
"1.6099964e-49"
],
"seconds": 2.894
},
{
"n": 97,
"m2": "1.62797598368484265877682325771153008417545557",
"m3": "-0.235330916270902229337616965869041482105944976",
"absolute_errors": [
"1.6431559e-51",
"2.1021128e-49"
],
"seconds": 2.865
},
{
"n": 101,
"m2": "1.62864759093883805591328234321388632595935634",
"m3": "-0.227985289006693981175915064413819336945102736",
"absolute_errors": [
"6.439153e-51",
"2.1329065e-49"
],
"seconds": 2.071
},
{
"n": 103,
"m2": "1.62896383318950579145811987376596669223624165",
"m3": "-0.224497855703958988856783631731259966910526982",
"absolute_errors": [
"3.1573141e-51",
"1.9616899e-49"
],
"seconds": 1.779
},
{
"n": 105,
"m2": "3.00787943652247119812098773329558891742893696",
"m3": "-1.78706241322142342772505981489026114320870237",
"absolute_errors": [
"7.2478542e-51",
"1.0252136e-49"
],
"seconds": 6.333
}
],
"skill_manifest": "agents/runs/20261102T162707Z-build-skills/manifest.json"
}