back to table · edit · history · where entries came from · files · download
864 bytes, as of the version from 2026-10-27 01:11 (current). Recorded here, not run.
{
"tid": "T492",
"all_checks_passed": true,
"versions": {
"numberdb": "0.1.10",
"mpmath": "1.4.1"
},
"sage_version": "10.9",
"mpmath_decimal_precision": 170,
"ball_precision_bits": 560,
"stored_decimal_intervals_checked": 600,
"maximum_error_in_last_written_place": "0.49818189366431239116",
"negative_order_identity_ball_checks": 120,
"maximum_identity_residual_radius": 6.871693112107843e-160,
"bessel_integral_arguments": [
"1/4",
"1",
"13/3",
"5",
"10",
"20"
],
"maximum_bessel_integral_absolute_error": "3.10515810198e-171",
"controls": [
"integral t on [0,1] = 1/2",
"integral sin(t) on [0,pi/2] = 1"
],
"source": "https://dlmf.nist.gov/10.22#E2",
"certification_note": "Mpmath interval comparisons are agreement checks; ball checks enclose the negative-order identity residual."
}