{
  "method": "exact SymPy root isolation plus exact Fraction interval arithmetic",
  "su2": {
    "ground_root_interval": {
      "lo": "9.1805817777221705257834998394494881309901142267868740112038730208459256E-1",
      "hi": "9.1805817777221705257834998394494881309901142267868740112038730208459257E-1"
    },
    "variance_interval": {
      "lo": "9.4219751431860035172606661134639154072094933876866764412012786278942648E-1",
      "hi": "9.4219751431860035172606661134639154072094933876866764412012786278942671E-1"
    },
    "third_cumulant_interval": {
      "lo": "-2.9611887037938989234410463515180729684904718079686826623316047038770329E-1",
      "hi": "-2.9611887037938989234410463515180729684904718079686826623316047038770301E-1"
    },
    "fourth_cumulant_interval": {
      "lo": "-7.4132927969170895744176430221067402259251594543171290085811418328453707E-1",
      "hi": "-7.4132927969170895744176430221067402259251594543171290085811418328453253E-1"
    },
    "certified_simple_bound": "-0.75 < kappa_4 < -0.74",
    "electric_reference_fourth_cumulant": "-1",
    "magnetic_response_interval": {
      "lo": "2.5867072030829104255823569778932597740748405456828709914188581671546293E-1",
      "hi": "2.5867072030829104255823569778932597740748405456828709914188581671546747E-1"
    },
    "magnetic_response_simple_bound": "0.25 < delta_kappa_4 < 0.26"
  },
  "su3": {
    "ground_root_interval": {
      "lo": "9.8553855293366932014155096090553698247103273943879824374809704597087835E-1",
      "hi": "9.8553855293366932014155096090553698247103273943879824374809704597087842E-1"
    },
    "variance_interval": {
      "lo": "2.1595087316958641831684589905271890932027557357340147548818864286389155E+0",
      "hi": "2.1595087316958641831684589905271890932027557357340147548818864286389173E+0"
    },
    "third_cumulant_interval": {
      "lo": "1.7467847469433764077701427658253825108707734059412741266172058470965373E+0",
      "hi": "1.7467847469433764077701427658253825108707734059412741266172058470965428E+0"
    },
    "fourth_cumulant_interval": {
      "lo": "-3.9713792971440005487169558073207152942954971128798478315459509862693417E+0",
      "hi": "-3.9713792971440005487169558073207152942954971128798478315459509862693038E+0"
    },
    "certified_simple_bound": "-3.98 < kappa_4 < -3.97",
    "electric_reference_fourth_cumulant": "-2",
    "magnetic_response_interval": {
      "lo": "-1.9713792971440005487169558073207152942954971128798478315459509862693417E+0",
      "hi": "-1.9713792971440005487169558073207152942954971128798478315459509862693038E+0"
    },
    "magnetic_response_simple_bound": "-1.98 < delta_kappa_4 < -1.97"
  },
  "checks": {
    "su2_variance_positive": true,
    "su2_k4_negative_nonzero": true,
    "su3_variance_positive": true,
    "su3_k4_negative_nonzero": true,
    "su2_electric_reference_k4_exact": true,
    "su2_magnetic_response_nonzero": true,
    "su3_electric_reference_k4_exact": true,
    "su3_magnetic_response_nonzero": true
  },
  "all_checks_pass": true
}
