{
  "formula": "active_LL_fraction=p^2/(p^2+(1-p)^2)",
  "assumptions": [
    "random pairing",
    "mixed pairs inactive",
    "same-handed pair activities equal",
    "curve describes active-pair composition, not a measured catalytic product curve"
  ],
  "example": {
    "L": 0.75,
    "R": 0.25,
    "LL": 0.5625,
    "LR_RL": 0.375,
    "RR": 0.0625,
    "active_LL_fraction": 0.9
  },
  "curve": [
    {
      "p": 0.0,
      "active_LL_fraction": 0.0
    },
    {
      "p": 0.01,
      "active_LL_fraction": 0.00010201999591920018
    },
    {
      "p": 0.02,
      "active_LL_fraction": 0.0004163197335553706
    },
    {
      "p": 0.03,
      "active_LL_fraction": 0.0009556169038012317
    },
    {
      "p": 0.04,
      "active_LL_fraction": 0.001733102253032929
    },
    {
      "p": 0.05,
      "active_LL_fraction": 0.00276243093922652
    },
    {
      "p": 0.06,
      "active_LL_fraction": 0.0040577096483318306
    },
    {
      "p": 0.07,
      "active_LL_fraction": 0.0056334789606806174
    },
    {
      "p": 0.08,
      "active_LL_fraction": 0.0075046904315197
    },
    {
      "p": 0.09,
      "active_LL_fraction": 0.009686677828270748
    },
    {
      "p": 0.1,
      "active_LL_fraction": 0.012195121951219514
    },
    {
      "p": 0.11,
      "active_LL_fraction": 0.015046008455608056
    },
    {
      "p": 0.12,
      "active_LL_fraction": 0.018255578093306288
    },
    {
      "p": 0.13,
      "active_LL_fraction": 0.02184026880330835
    },
    {
      "p": 0.14,
      "active_LL_fraction": 0.025816649104320345
    },
    {
      "p": 0.15,
      "active_LL_fraction": 0.0302013422818792
    },
    {
      "p": 0.16,
      "active_LL_fraction": 0.035010940919037205
    },
    {
      "p": 0.17,
      "active_LL_fraction": 0.04026191139593202
    },
    {
      "p": 0.18,
      "active_LL_fraction": 0.045970488081725304
    },
    {
      "p": 0.19,
      "active_LL_fraction": 0.05215255706443223
    },
    {
      "p": 0.2,
      "active_LL_fraction": 0.058823529411764705
    },
    {
      "p": 0.21,
      "active_LL_fraction": 0.06599820413049982
    },
    {
      "p": 0.22,
      "active_LL_fraction": 0.07369062119366625
    },
    {
      "p": 0.23,
      "active_LL_fraction": 0.08191390523381853
    },
    {
      "p": 0.24,
      "active_LL_fraction": 0.0906801007556675
    },
    {
      "p": 0.25,
      "active_LL_fraction": 0.1
    },
    {
      "p": 0.26,
      "active_LL_fraction": 0.10988296488946686
    },
    {
      "p": 0.27,
      "active_LL_fraction": 0.12033674480026414
    },
    {
      "p": 0.28,
      "active_LL_fraction": 0.1313672922252011
    },
    {
      "p": 0.29,
      "active_LL_fraction": 0.1429785787147229
    },
    {
      "p": 0.3,
      "active_LL_fraction": 0.15517241379310345
    },
    {
      "p": 0.31,
      "active_LL_fraction": 0.1679482698357218
    },
    {
      "p": 0.32,
      "active_LL_fraction": 0.1813031161473088
    },
    {
      "p": 0.33,
      "active_LL_fraction": 0.19523126568662608
    },
    {
      "p": 0.34,
      "active_LL_fraction": 0.2097242380261249
    },
    {
      "p": 0.35,
      "active_LL_fraction": 0.22477064220183482
    },
    {
      "p": 0.36,
      "active_LL_fraction": 0.24035608308605338
    },
    {
      "p": 0.37,
      "active_LL_fraction": 0.2564630947920569
    },
    {
      "p": 0.38,
      "active_LL_fraction": 0.273071104387292
    },
    {
      "p": 0.39,
      "active_LL_fraction": 0.2901564288439527
    },
    {
      "p": 0.4,
      "active_LL_fraction": 0.30769230769230776
    },
    {
      "p": 0.41,
      "active_LL_fraction": 0.32564897326617587
    },
    {
      "p": 0.42,
      "active_LL_fraction": 0.3439937597503899
    },
    {
      "p": 0.43,
      "active_LL_fraction": 0.3626912514711651
    },
    {
      "p": 0.44,
      "active_LL_fraction": 0.38170347003154564
    },
    {
      "p": 0.45,
      "active_LL_fraction": 0.4009900990099009
    },
    {
      "p": 0.46,
      "active_LL_fraction": 0.42050874403815575
    },
    {
      "p": 0.47,
      "active_LL_fraction": 0.4402152251893184
    },
    {
      "p": 0.48,
      "active_LL_fraction": 0.46006389776357826
    },
    {
      "p": 0.49,
      "active_LL_fraction": 0.4800079968012795
    },
    {
      "p": 0.5,
      "active_LL_fraction": 0.5
    },
    {
      "p": 0.51,
      "active_LL_fraction": 0.5199920031987205
    },
    {
      "p": 0.52,
      "active_LL_fraction": 0.5399361022364217
    },
    {
      "p": 0.53,
      "active_LL_fraction": 0.5597847748106816
    },
    {
      "p": 0.54,
      "active_LL_fraction": 0.5794912559618443
    },
    {
      "p": 0.55,
      "active_LL_fraction": 0.5990099009900991
    },
    {
      "p": 0.56,
      "active_LL_fraction": 0.6182965299684544
    },
    {
      "p": 0.57,
      "active_LL_fraction": 0.6373087485288347
    },
    {
      "p": 0.58,
      "active_LL_fraction": 0.6560062402496099
    },
    {
      "p": 0.59,
      "active_LL_fraction": 0.6743510267338241
    },
    {
      "p": 0.6,
      "active_LL_fraction": 0.6923076923076923
    },
    {
      "p": 0.61,
      "active_LL_fraction": 0.7098435711560472
    },
    {
      "p": 0.62,
      "active_LL_fraction": 0.726928895612708
    },
    {
      "p": 0.63,
      "active_LL_fraction": 0.743536905207943
    },
    {
      "p": 0.64,
      "active_LL_fraction": 0.7596439169139466
    },
    {
      "p": 0.65,
      "active_LL_fraction": 0.7752293577981652
    },
    {
      "p": 0.66,
      "active_LL_fraction": 0.7902757619738753
    },
    {
      "p": 0.67,
      "active_LL_fraction": 0.804768734313374
    },
    {
      "p": 0.68,
      "active_LL_fraction": 0.8186968838526912
    },
    {
      "p": 0.69,
      "active_LL_fraction": 0.8320517301642781
    },
    {
      "p": 0.7,
      "active_LL_fraction": 0.8448275862068965
    },
    {
      "p": 0.71,
      "active_LL_fraction": 0.857021421285277
    },
    {
      "p": 0.72,
      "active_LL_fraction": 0.8686327077747988
    },
    {
      "p": 0.73,
      "active_LL_fraction": 0.8796632551997359
    },
    {
      "p": 0.74,
      "active_LL_fraction": 0.8901170351105332
    },
    {
      "p": 0.75,
      "active_LL_fraction": 0.9
    },
    {
      "p": 0.76,
      "active_LL_fraction": 0.9093198992443325
    },
    {
      "p": 0.77,
      "active_LL_fraction": 0.9180860947661815
    },
    {
      "p": 0.78,
      "active_LL_fraction": 0.9263093788063338
    },
    {
      "p": 0.79,
      "active_LL_fraction": 0.9340017958695002
    },
    {
      "p": 0.8,
      "active_LL_fraction": 0.9411764705882353
    },
    {
      "p": 0.81,
      "active_LL_fraction": 0.9478474429355678
    },
    {
      "p": 0.82,
      "active_LL_fraction": 0.9540295119182747
    },
    {
      "p": 0.83,
      "active_LL_fraction": 0.959738088604068
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    {
      "p": 0.84,
      "active_LL_fraction": 0.9649890590809629
    },
    {
      "p": 0.85,
      "active_LL_fraction": 0.9697986577181208
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    {
      "p": 0.86,
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    {
      "p": 0.87,
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      "p": 0.88,
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    {
      "p": 0.89,
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    {
      "p": 0.9,
      "active_LL_fraction": 0.9878048780487805
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    {
      "p": 0.91,
      "active_LL_fraction": 0.9903133221717293
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    {
      "p": 0.92,
      "active_LL_fraction": 0.9924953095684803
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    {
      "p": 0.93,
      "active_LL_fraction": 0.9943665210393193
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    {
      "p": 0.94,
      "active_LL_fraction": 0.9959422903516681
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    {
      "p": 0.95,
      "active_LL_fraction": 0.9972375690607734
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    {
      "p": 0.96,
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    {
      "p": 0.97,
      "active_LL_fraction": 0.9990443830961988
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    {
      "p": 0.98,
      "active_LL_fraction": 0.9995836802664447
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    {
      "p": 0.99,
      "active_LL_fraction": 0.9998979800040808
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    {
      "p": 1.0,
      "active_LL_fraction": 1.0
    }
  ]
}