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1259 bytes, as of the version from 2026-10-25 08:29 (current). Recorded here, not run.
{
"sage_version": "10.9",
"controls_passed": true,
"sturm_checks": [
{
"n": 17,
"degree": 10,
"root_count": 1,
"center": "0.628094415071",
"radius": "1e-10"
},
{
"n": 18,
"degree": 11,
"root_count": 1,
"center": "0.648695832224",
"radius": "1e-10"
},
{
"n": 22,
"degree": 18,
"root_count": 1,
"center": "0.710306258580",
"radius": "1e-10"
},
{
"n": 38,
"degree": 14,
"root_count": 1,
"center": "0.826583259422",
"radius": "1e-10"
},
{
"n": 50,
"degree": 12,
"root_count": 1,
"center": "0.868173209127",
"radius": "1e-10"
},
{
"n": 52,
"degree": 16,
"root_count": 1,
"center": "0.872966708781",
"radius": "1e-10"
}
],
"normalisation_configurations_checked": 97,
"generator_verification": "<VerifyReport T479: 194/194 matched, 0 differing, 0 missing, 0 extra>",
"invertibility_argument": "For 0 < theta <= 180 degrees, pi*theta/360 lies in (0, pi/2], where sine is one-to-one and principal arcsine is its inverse.",
"limitations": "Checks do not prove global optimality or improve the source-accuracy assumptions."
}