files / problems / simon-ionization-excess / compute / q4 / certs / aspect_identities.json
{
"status": "ok",
"R_split": 10,
"n": 26,
"target": 0.9091,
"Q_cut": "10/11",
"Q_cut_value": "0.9090909090909090909090909090909090909091",
"compact_gamma": "0.9044140893458346000000000000000000000000",
"compact_inv": "1.105688214922992822226360459232602159436",
"cut_exceeds_compact_gamma": true,
"empty_D_interval_for_Q_le_cut": true,
"algebra": "Mass-stationarity at inf=1 and sup=R gives M_{-1}=Q+(Q-1)D>0 and M_3=(Q-1)R^3+Q D R>0, hence R<Q/(1-Q) and Q>R/(R+1).",
"beats_1.1118": true,
"beats_1.108741": true,
"faces": {
"n": 26,
"gamma_target": 0.9091,
"n_faces": 67108863,
"interior_critical": 187266,
"singular_or_illconditioned": 23,
"min_mMm": 0.0004243178673270073,
"min_mMm_safe": 0.00042431776732700734,
"min_phi": 0.9092246680873068,
"min_phi_safe": 0.9092246679873068,
"copositive": 1
},
"source": "certs/raise_R10_n26_t0p9091.json"
}