files / problems / simon-ionization-excess / compute / q12 / certs / scan_compact.json

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{
  "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}; 1.10094 prints as 1.1010. An n=35 or n=36 higher-target probe is not an n=37 dent. The stored q11 n=36 faces stay frozen.",
  "q11_leading": 1.101,
  "fmin": 0.8941074569749823,
  "best_split": {
    "R": 10.0,
    "n": 37,
    "n_faces": 137438953471,
    "slsqp_phi": 0.9120822745711676,
    "target_suggest": 0.9119,
    "err_P_hi": 0.003293890946025857,
    "gamma_pred": 0.9086061090539742,
    "inv_pred": 1.1005869210379662,
    "cut_R_over_R1": 0.9090909090909091,
    "split_gamma": 0.9086061090539742,
    "split_inv": 1.1005869210379662,
    "printed_lead": "1.1006",
    "beats_1.1010_if_certified": true,
    "cut_ge_gamma": true,
    "note": "",
    "P_max_hi": 0.03110597641656086
  },
  "rows": [
    {
      "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_1.1010_if_certified": false,
      "cut_ge_gamma": true,
      "note": "",
      "P_max_hi": 0.03288221387453527
    },
    {
      "R": 10.0,
      "n": 36,
      "n_faces": 68719476735,
      "slsqp_phi": 0.9118806284070254,
      "target_suggest": 0.9117,
      "err_P_hi": 0.003385326403690433,
      "gamma_pred": 0.9083146735963096,
      "inv_pred": 1.1009400476166247,
      "cut_R_over_R1": 0.9090909090909091,
      "split_gamma": 0.9083146735963096,
      "split_inv": 1.1009400476166247,
      "printed_lead": "1.1010",
      "beats_1.1010_if_certified": false,
      "cut_ge_gamma": true,
      "note": "",
      "P_max_hi": 0.031969450416264256
    },
    {
      "R": 10.0,
      "n": 37,
      "n_faces": 137438953471,
      "slsqp_phi": 0.9120822745711676,
      "target_suggest": 0.9119,
      "err_P_hi": 0.003293890946025857,
      "gamma_pred": 0.9086061090539742,
      "inv_pred": 1.1005869210379662,
      "cut_R_over_R1": 0.9090909090909091,
      "split_gamma": 0.9086061090539742,
      "split_inv": 1.1005869210379662,
      "printed_lead": "1.1006",
      "beats_1.1010_if_certified": true,
      "cut_ge_gamma": true,
      "note": "",
      "P_max_hi": 0.03110597641656086
    },
    {
      "R": 10.0,
      "n": 35,
      "n_faces": 34359738367,
      "slsqp_phi": 0.9116723740887986,
      "target_suggest": 0.9116,
      "err_P_hi": 0.0034819812474670606,
      "gamma_pred": 0.908118018752533,
      "inv_pred": 1.1011784584713822,
      "cut_R_over_R1": 0.9090909090909091,
      "split_gamma": 0.908118018752533,
      "split_inv": 1.1011784584713822,
      "printed_lead": "1.1012",
      "beats_1.1010_if_certified": false,
      "cut_ge_gamma": true,
      "note": "optional probe on the frozen n=35 matrix; not an n=37 dent",
      "P_max_hi": 0.03288221387453527
    },
    {
      "R": 10.0,
      "n": 36,
      "n_faces": 68719476735,
      "slsqp_phi": 0.9118806284070254,
      "target_suggest": 0.9118,
      "err_P_hi": 0.003385326403690433,
      "gamma_pred": 0.9084146735963097,
      "inv_pred": 1.100818854060464,
      "cut_R_over_R1": 0.9090909090909091,
      "split_gamma": 0.9084146735963097,
      "split_inv": 1.100818854060464,
      "printed_lead": "1.1009",
      "beats_1.1010_if_certified": true,
      "cut_ge_gamma": true,
      "note": "optional probe on the frozen n=36 matrix; not an n=37 dent",
      "P_max_hi": 0.031969450416264256
    },
    {
      "R": 10.0,
      "n": 37,
      "n_faces": 137438953471,
      "slsqp_phi": 0.9120822745711676,
      "target_suggest": 0.9119,
      "err_P_hi": 0.003293890946025857,
      "gamma_pred": 0.9086061090539742,
      "inv_pred": 1.1005869210379662,
      "cut_R_over_R1": 0.9090909090909091,
      "split_gamma": 0.9086061090539742,
      "split_inv": 1.1005869210379662,
      "printed_lead": "1.1006",
      "beats_1.1010_if_certified": true,
      "cut_ge_gamma": true,
      "note": "primary leftover: n=37 mid-radius bins at aspect 10",
      "P_max_hi": 0.03110597641656086
    }
  ]
}