files / problems / simon-ionization-excess / compute / q10 / certs / scan_compact.json
{
"note": "Predicted only. Face copositivity at target_suggest is required before quoting split_inv as a leading coefficient. printed_lead uses the notebook ceil-to-next-10^{-4}; 1.10130 prints as 1.1013. An n=34 target-0.9114 probe is not an n=35 dent.",
"q9_leading": 1.1017,
"fmin": 0.8941074569749823,
"best_split": {
"R": 10.0,
"n": 34,
"n_faces": 17179869183,
"slsqp_phi": 0.9114518727717587,
"target_suggest": 0.9114,
"err_P_hi": 0.003584315336477774,
"gamma_pred": 0.9078156846635222,
"inv_pred": 1.1015451890662646,
"cut_R_over_R1": 0.9090909090909091,
"split_gamma": 0.9078156846635222,
"split_inv": 1.1015451890662646,
"printed_lead": "1.1016",
"beats_1.1017_if_certified": true,
"cut_ge_gamma": true,
"note": "optional probe on the n=34 matrix; not an n=35 dent",
"P_max_hi": 0.03384860948736455
},
"rows": [
{
"R": 10.0,
"n": 34,
"n_faces": 17179869183,
"slsqp_phi": 0.9114518727717587,
"target_suggest": 0.9113,
"err_P_hi": 0.003584315336477774,
"gamma_pred": 0.9077156846635223,
"inv_pred": 1.1016665426142618,
"cut_R_over_R1": 0.9090909090909091,
"split_gamma": 0.9077156846635223,
"split_inv": 1.1016665426142618,
"printed_lead": "1.1017",
"beats_1.1017_if_certified": false,
"cut_ge_gamma": true,
"note": "",
"P_max_hi": 0.03384860948736455
},
{
"R": 10.0,
"n": 35,
"n_faces": 34359738367,
"slsqp_phi": 0.9116723740887986,
"target_suggest": 0.9115,
"err_P_hi": 0.0034819812474670606,
"gamma_pred": 0.908018018752533,
"inv_pred": 1.1012997312254167,
"cut_R_over_R1": 0.9090909090909091,
"split_gamma": 0.908018018752533,
"split_inv": 1.1012997312254167,
"printed_lead": "1.1013",
"beats_1.1017_if_certified": true,
"cut_ge_gamma": true,
"note": "",
"P_max_hi": 0.03288221387453527
},
{
"R": 10.0,
"n": 34,
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"slsqp_phi": 0.9114518727717587,
"target_suggest": 0.9114,
"err_P_hi": 0.003584315336477774,
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"inv_pred": 1.1015451890662646,
"cut_R_over_R1": 0.9090909090909091,
"split_gamma": 0.9078156846635222,
"split_inv": 1.1015451890662646,
"printed_lead": "1.1016",
"beats_1.1017_if_certified": true,
"cut_ge_gamma": true,
"note": "optional probe on the n=34 matrix; not an n=35 dent",
"P_max_hi": 0.03384860948736455
},
{
"R": 10.0,
"n": 35,
"n_faces": 34359738367,
"slsqp_phi": 0.9116723740887986,
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"err_P_hi": 0.0034819812474670606,
"gamma_pred": 0.908018018752533,
"inv_pred": 1.1012997312254167,
"cut_R_over_R1": 0.9090909090909091,
"split_gamma": 0.908018018752533,
"split_inv": 1.1012997312254167,
"printed_lead": "1.1013",
"beats_1.1017_if_certified": true,
"cut_ge_gamma": true,
"note": "primary leftover: n=35 mid-radius bins at aspect 10",
"P_max_hi": 0.03288221387453527
}
]
}