{
 "theta_c": 30.000000000000004,
 "K1": 0.0,
 "K1rows": [
  {
   "theta": 10,
   "errs": [
    0.003041935555538145,
    0.0014989652565239372,
    0.0007467020066272934
   ],
   "slope": 1.013192538124532
  },
  {
   "theta": 20,
   "errs": [
    0.0035830373600742368,
    0.0017736035376991251,
    0.0008845457110849878
   ],
   "slope": 1.009087240859823
  },
  {
   "theta": 25,
   "errs": [
    0.004251264527743992,
    0.002111195193556781,
    0.0010537844474911187
   ],
   "slope": 1.0061561191893056
  },
  {
   "theta": 29,
   "errs": [
    0.0056622818945696925,
    0.002820197130925258,
    0.0014087281836068586
   ],
   "slope": 1.0034951534568668
  },
  {
   "theta": 31,
   "errs": [
    0.006986863068683596,
    0.0035717115313683655,
    0.0018069053417710064
   ],
   "slope": 0.9755619681115364
  },
  {
   "theta": 40,
   "errs": [
    0.005517131993096202,
    0.0030097504636943362,
    0.0015691863931992958
   ],
   "slope": 0.9069508828115092
  },
  {
   "theta": 60,
   "errs": [
    0.0030911106421201246,
    0.001836261868751784,
    0.0009920642465117261
   ],
   "slope": 0.8198099180639764
  },
  {
   "theta": 80,
   "errs": [
    0.0009913208465841062,
    0.0006170165059545793,
    0.00033934132759700546
   ],
   "slope": 0.7733074630658991
  }
 ],
 "K2": 1.0,
 "K2_maxdiff": 4.516981137947518e-05,
 "K3": 1.0,
 "theta_half": 29.87500027112401,
 "dev_above": 2.220446049250313e-16,
 "below_max": 6.898252559921139e-15,
 "opposite": 1.0,
 "opposite_max": 0.9413608840243304,
 "thick_curve": {
  "theta": [
   1.0,
   1.25,
   1.5,
   1.75,
   2.0,
   2.25,
   2.5,
   2.75,
   3.0,
   3.25,
   3.5,
   3.75,
   4.0,
   4.25,
   4.5,
   4.75,
   5.0,
   5.25,
   5.5,
   5.75,
   6.0,
   6.25,
   6.5,
   6.75,
   7.0,
   7.25,
   7.5,
   7.75,
   8.0,
   8.25,
   8.5,
   8.75,
   9.0,
   9.25,
   9.5,
   9.75,
   10.0,
   10.25,
   10.5,
   10.75,
   11.0,
   11.25,
   11.5,
   11.75,
   12.0,
   12.25,
   12.5,
   12.75,
   13.0,
   13.25,
   13.5,
   13.75,
   14.0,
   14.25,
   14.5,
   14.75,
   15.0,
   15.25,
   15.5,
   15.75,
   16.0,
   16.25,
   16.5,
   16.75,
   17.0,
   17.25,
   17.5,
   17.75,
   18.0,
   18.25,
   18.5,
   18.75,
   19.0,
   19.25,
   19.5,
   19.75,
   20.0,
   20.25,
   20.5,
   20.75,
   21.0,
   21.25,
   21.5,
   21.75,
   22.0,
   22.25,
   22.5,
   22.75,
   23.0,
   23.25,
   23.5,
   23.75,
   24.0,
   24.25,
   24.5,
   24.75,
   25.0,
   25.25,
   25.5,
   25.75,
   26.0,
   26.25,
   26.5,
   26.75,
   27.0,
   27.25,
   27.5,
   27.75,
   28.0,
   28.25,
   28.5,
   28.75,
   29.0,
   29.25,
   29.5,
   29.75,
   30.0,
   30.25,
   30.5,
   30.75,
   31.0,
   31.25,
   31.5,
   31.75,
   32.0,
   32.25,
   32.5,
   32.75,
   33.0,
   33.25,
   33.5,
   33.75,
   34.0,
   34.25,
   34.5,
   34.75,
   35.0,
   35.25,
   35.5,
   35.75,
   36.0,
   36.25,
   36.5,
   36.75,
   37.0,
   37.25,
   37.5,
   37.75,
   38.0,
   38.25,
   38.5,
   38.75,
   39.0,
   39.25,
   39.5,
   39.75,
   40.0,
   40.25,
   40.5,
   40.75,
   41.0,
   41.25,
   41.5,
   41.75,
   42.0,
   42.25,
   42.5,
   42.75,
   43.0,
   43.25,
   43.5,
   43.75,
   44.0,
   44.25,
   44.5,
   44.75,
   45.0,
   45.25,
   45.5,
   45.75,
   46.0,
   46.25,
   46.5,
   46.75,
   47.0,
   47.25,
   47.5,
   47.75,
   48.0,
   48.25,
   48.5,
   48.75,
   49.0,
   49.25,
   49.5,
   49.75,
   50.0,
   50.25,
   50.5,
   50.75,
   51.0,
   51.25,
   51.5,
   51.75,
   52.0,
   52.25,
   52.5,
   52.75,
   53.0,
   53.25,
   53.5,
   53.75,
   54.0,
   54.25,
   54.5,
   54.75,
   55.0,
   55.25,
   55.5,
   55.75,
   56.0,
   56.25,
   56.5,
   56.75,
   57.0,
   57.25,
   57.5,
   57.75,
   58.0,
   58.25,
   58.5,
   58.75,
   59.0,
   59.25,
   59.5,
   59.75,
   60.0,
   60.25,
   60.5,
   60.75,
   61.0,
   61.25,
   61.5,
   61.75,
   62.0,
   62.25,
   62.5,
   62.75,
   63.0,
   63.25,
   63.5,
   63.75,
   64.0,
   64.25,
   64.5,
   64.75,
   65.0,
   65.25,
   65.5,
   65.75,
   66.0,
   66.25,
   66.5,
   66.75,
   67.0,
   67.25,
   67.5,
   67.75,
   68.0,
   68.25,
   68.5,
   68.75,
   69.0,
   69.25,
   69.5,
   69.75,
   70.0,
   70.25,
   70.5,
   70.75,
   71.0,
   71.25,
   71.5,
   71.75,
   72.0,
   72.25,
   72.5,
   72.75,
   73.0,
   73.25,
   73.5,
   73.75,
   74.0,
   74.25,
   74.5,
   74.75,
   75.0,
   75.25,
   75.5,
   75.75,
   76.0,
   76.25,
   76.5,
   76.75,
   77.0,
   77.25,
   77.5,
   77.75,
   78.0,
   78.25,
   78.5,
   78.75,
   79.0,
   79.25,
   79.5,
   79.75,
   80.0,
   80.25,
   80.5,
   80.75,
   81.0,
   81.25,
   81.5,
   81.75,
   82.0,
   82.25,
   82.5,
   82.75,
   83.0,
   83.25,
   83.5,
   83.75,
   84.0,
   84.25,
   84.5,
   84.75,
   85.0,
   85.25,
   85.5,
   85.75,
   86.0,
   86.25,
   86.5,
   86.75,
   87.0,
   87.25,
   87.5,
   87.75,
   88.0,
   88.25,
   88.5,
   88.75,
   89.0
  ],
  "R2": [
   9.344569165345674e-22,
   8.443054689247609e-22,
   7.347072996646262e-22,
   6.17349520150858e-22,
   5.148641399393767e-22,
   4.596533437781227e-22,
   4.858507128321835e-22,
   6.158985057703254e-22,
   8.372565251833777e-22,
   1.0890497035889734e-21,
   1.2619051360842884e-21,
   1.2497589632956772e-21,
   1.0210468085899157e-21,
   6.891655431624736e-22,
   4.8468437681641575e-22,
   6.018526766849357e-22,
   9.888630631954557e-22,
   1.3052487179491044e-21,
   1.2039190474433403e-21,
   7.583432870631283e-22,
   5.030022906932021e-22,
   8.18226099969211e-22,
   1.3094348855658333e-21,
   1.232410302167631e-21,
   6.781853730142397e-22,
   6.061252083764647e-22,
   1.205649523472917e-21,
   1.3508362206480042e-21,
   7.265802551993223e-22,
   6.800597249492466e-22,
   1.3744509533345953e-21,
   1.2005121707641583e-21,
   5.837837369432646e-22,
   1.1484378235415849e-21,
   1.4364582126185874e-21,
   6.659233805761221e-22,
   1.0872593275923294e-21,
   1.501942217617322e-21,
   6.75472552894851e-22,
   1.2666365254361603e-21,
   1.406727894327698e-21,
   6.886555873661862e-22,
   1.6210687798977918e-21,
   1.0049013404093323e-21,
   1.1227700014274365e-21,
   1.592164491800932e-21,
   7.767893078628389e-22,
   1.8083017681895477e-21,
   8.422491117079042e-22,
   1.7153391015633406e-21,
   1.087447434522725e-21,
   1.5766986316292353e-21,
   1.2984899436338471e-21,
   1.536365740122531e-21,
   1.3941204297319558e-21,
   1.638290420296043e-21,
   1.351871497230243e-21,
   1.8882951650413962e-21,
   1.1948562114447807e-21,
   2.2154073472265404e-21,
   1.087109897513149e-21,
   2.3362424007088902e-21,
   1.4135874041314527e-21,
   1.882828987182343e-21,
   2.2902763186933445e-21,
   1.3004947675337428e-21,
   2.588683868354521e-21,
   2.027842652732648e-21,
   1.6005501000031688e-21,
   2.910040771362455e-21,
   2.2208738386006592e-21,
   1.7088394001407425e-21,
   3.015370526019427e-21,
   2.9956241749414295e-21,
   1.9300643400835493e-21,
   2.444835991020879e-21,
   3.653221958674685e-21,
   3.479276511890672e-21,
   2.5129209803695783e-21,
   2.4636252297259895e-21,
   3.4908202591408465e-21,
   4.480675816846439e-21,
   4.664596578047464e-21,
   4.20240291879773e-21,
   3.662601774817014e-21,
   3.4376467403904975e-21,
   3.5983721295732585e-21,
   4.012800709083337e-21,
   4.520891543190104e-21,
   5.0081112421863835e-21,
   5.410280989771189e-21,
   5.7077353324043066e-21,
   5.9208356709372e-21,
   6.172490282414734e-21,
   6.7681588561972445e-21,
   8.150517385454285e-21,
   1.0442468333880218e-20,
   1.2591799532311148e-20,
   1.2671456337661396e-20,
   1.150679286264894e-20,
   1.430701133375029e-20,
   1.9115637439066803e-20,
   1.745947968351804e-20,
   2.2559330384638138e-20,
   2.5893166759381987e-20,
   3.127223425966786e-20,
   3.284515013710249e-20,
   5.566711382113961e-20,
   3.23953772386504e-20,
   5.335437085694088e-19,
   4.9989745460406406e-18,
   1.4849121443270717e-16,
   6.898252559921139e-15,
   5.268596964113701e-13,
   9.146000629597361e-11,
   7.805158990723975e-08,
   0.9999977529613864,
   0.9999999999999998,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0000000000000004,
   0.9999999999999998,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   0.9999999999999996,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0000000000000004,
   1.0,
   1.0,
   0.9999999999999996,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0000000000000004,
   1.0,
   0.9999999999999996,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0000000000000004,
   1.0,
   1.0000000000000004,
   1.0000000000000004,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   1.0000000000000004,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0,
   0.9999999999999996,
   1.0,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   0.9999999999999998,
   1.0,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999996,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999996,
   1.0000000000000004,
   1.0000000000000004,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   0.9999999999999996,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   0.9999999999999996,
   1.0000000000000004,
   0.9999999999999998,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0000000000000004,
   0.9999999999999998,
   0.9999999999999998,
   1.0000000000000004,
   1.0000000000000004,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   1.0,
   1.0000000000000004,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998,
   0.9999999999999998,
   1.0,
   1.0,
   1.0,
   1.0000000000000004,
   1.0000000000000004,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   0.9999999999999998,
   1.0000000000000004,
   1.0,
   1.0,
   0.9999999999999998,
   1.0,
   1.0,
   0.9999999999999998
  ]
 }
}