Download exact_certificate.json from PureOne/QX-NEPHRIEL-Seventh-String: direct link, hf CLI and curl.
- Browser
- Download file 2.37 kB
-
https://huggingface.co/datasets/PureOne/QX-NEPHRIEL-Seventh-String/resolve/main/exact_certificate.json
- Command line
-
hf download hf://datasets/PureOne/QX-NEPHRIEL-Seventh-String/exact_certificate.json
-
curl -L -o exact_certificate.json https://huggingface.co/datasets/PureOne/QX-NEPHRIEL-Seventh-String/resolve/main/exact_certificate.json
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" | |
| } | |