QX-NEPHRIEL-Seventh-String / exact_certificate.json
PureOne's picture
QX-NEPHRIEL Seventh-String research release
1f56441 verified
Raw History Blame Contribute Delete
2.37 kB
{
"scope": "complex PSD 7x7 matrices, each rank at most 3",
"rho": "24/25",
"arithmetic": "exact integer / fractions.Fraction",
"checks_passed": 49,
"external_review": "not performed",
"analytic_reduction_machine_formalized": false,
"endpoint_bounds": {
"threshold": {
"numerator": "308178212012565444831343414035851238060392689589873902036973649631296176847107988781982793958123085511028972525320026824487429355444991693135201404847373600362004649",
"denominator": "322828856000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"upward_rounded_1e12": "477308961521/500000000000",
"margin_to_24_over_25": "1737489747434555168656585964148761939607310410126097963026350368703823152892011218017206041876914488971027474679973175512570644555008306864798595152626399637995351/322828856000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
},
"b_knot_3": {
"numerator": "73422383967042839804655147143109704551982179734112920252788738130488707024473519898969982855071068903",
"denominator": "92500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"upward_rounded_1e12": "793755502347/1000000000000",
"margin_to_24_over_25": "15377616032957160195344852856890295448017820265887079747211261869511292975526480101030017144928931097/92500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
},
"spectral_half": {
"numerator": "91308219257536004371858295899773687443955450711908130454739828210663124241088360731709906569377669231",
"denominator": "102400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"upward_rounded_1e12": "891681828687/1000000000000",
"margin_to_24_over_25": "6995780742463995628141704100226312556044549288091869545260171789336875758911639268290093430622330769/102400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
}
},
"tail_T10_bound": "55445947442938762276169828757715179354327701976609375/69321945661879387216237178985398736188320192378437632"
}