# C13 + a > O16 + n   [C13_a__O16_n]   ref=NACRE, Xu et al. 2010, 2011
# detailed balance: alpha=5.7943 beta=0 gamma=-25.7111  Q=2.2156
# T9                 rate                error
1.000000e-03   1.000000e-35   1.000000e+00
1.018629e-03   1.000000e-35   1.000000e+00
1.037605e-03   1.000000e-35   1.000000e+00
1.056935e-03   1.000000e-35   1.000000e+00
1.076624e-03   1.000000e-35   1.000000e+00
1.096681e-03   1.000000e-35   1.000000e+00
1.117111e-03   1.000000e-35   1.000000e+00
1.137921e-03   1.000000e-35   1.000000e+00
1.159120e-03   1.000000e-35   1.000000e+00
1.180713e-03   1.000000e-35   1.000000e+00
1.202708e-03   1.000000e-35   1.000000e+00
1.225114e-03   1.000000e-35   1.000000e+00
1.247936e-03   1.000000e-35   1.000000e+00
1.271184e-03   1.000000e-35   1.000000e+00
1.294865e-03   1.000000e-35   1.000000e+00
1.318987e-03   1.000000e-35   1.000000e+00
1.343558e-03   1.000000e-35   1.000000e+00
1.368587e-03   1.000000e-35   1.000000e+00
1.394083e-03   1.000000e-35   1.000000e+00
1.420053e-03   1.000000e-35   1.000000e+00
1.446507e-03   1.000000e-35   1.000000e+00
1.473454e-03   1.000000e-35   1.000000e+00
1.500903e-03   1.000000e-35   1.000000e+00
1.528864e-03   1.000000e-35   1.000000e+00
1.557345e-03   1.000000e-35   1.000000e+00
1.586357e-03   1.000000e-35   1.000000e+00
1.615909e-03   1.000000e-35   1.000000e+00
1.646012e-03   1.000000e-35   1.000000e+00
1.676675e-03   1.000000e-35   1.000000e+00
1.707910e-03   1.000000e-35   1.000000e+00
1.739726e-03   1.000000e-35   1.000000e+00
1.772136e-03   1.000000e-35   1.000000e+00
1.805149e-03   1.000000e-35   1.000000e+00
1.838777e-03   1.000000e-35   1.000000e+00
1.873032e-03   1.000000e-35   1.000000e+00
1.907924e-03   1.000000e-35   1.000000e+00
1.943467e-03   1.000000e-35   1.000000e+00
1.979672e-03   1.000000e-35   1.000000e+00
2.016551e-03   1.000000e-35   1.000000e+00
2.054117e-03   1.000000e-35   1.000000e+00
2.092383e-03   1.000000e-35   1.000000e+00
2.131362e-03   1.000000e-35   1.000000e+00
2.171068e-03   1.000000e-35   1.000000e+00
2.211512e-03   1.000000e-35   1.000000e+00
2.252711e-03   1.000000e-35   1.000000e+00
2.294676e-03   1.000000e-35   1.000000e+00
2.337424e-03   1.000000e-35   1.000000e+00
2.380968e-03   1.000000e-35   1.000000e+00
2.425323e-03   1.000000e-35   1.000000e+00
2.470504e-03   1.000000e-35   1.000000e+00
2.516527e-03   1.000000e-35   1.000000e+00
2.563407e-03   1.000000e-35   1.000000e+00
2.611161e-03   1.000000e-35   1.000000e+00
2.659804e-03   1.000000e-35   1.000000e+00
2.709354e-03   1.000000e-35   1.000000e+00
2.759826e-03   1.000000e-35   1.000000e+00
2.811239e-03   1.000000e-35   1.000000e+00
2.863610e-03   1.000000e-35   1.000000e+00
2.916956e-03   1.000000e-35   1.000000e+00
2.971296e-03   1.000000e-35   1.000000e+00
3.026648e-03   1.000000e-35   1.000000e+00
3.083031e-03   1.000000e-35   1.000000e+00
3.140465e-03   1.000000e-35   1.000000e+00
3.198969e-03   1.000000e-35   1.000000e+00
3.258562e-03   1.000000e-35   1.000000e+00
3.319266e-03   1.000000e-35   1.000000e+00
3.381101e-03   1.000000e-35   1.000000e+00
3.444087e-03   1.000000e-35   1.000000e+00
3.508247e-03   1.000000e-35   1.000000e+00
3.573602e-03   1.000000e-35   1.000000e+00
3.640175e-03   1.000000e-35   1.000000e+00
3.707988e-03   1.000000e-35   1.000000e+00
3.777064e-03   1.000000e-35   1.000000e+00
3.847427e-03   1.000000e-35   1.000000e+00
3.919100e-03   1.000000e-35   1.000000e+00
3.992109e-03   1.000000e-35   1.000000e+00
4.066478e-03   1.000000e-35   1.000000e+00
4.142232e-03   1.000000e-35   1.000000e+00
4.219398e-03   1.000000e-35   1.000000e+00
4.298001e-03   1.000000e-35   1.000000e+00
4.378069e-03   1.000000e-35   1.000000e+00
4.459628e-03   1.000000e-35   1.000000e+00
4.542706e-03   1.000000e-35   1.000000e+00
4.627332e-03   1.000000e-35   1.000000e+00
4.713535e-03   1.000000e-35   1.000000e+00
4.801343e-03   1.000000e-35   1.000000e+00
4.890787e-03   1.000000e-35   1.000000e+00
4.981898e-03   1.000000e-35   1.000000e+00
5.074705e-03   1.000000e-35   1.000000e+00
5.169242e-03   1.000000e-35   1.000000e+00
5.265540e-03   1.000000e-35   1.000000e+00
5.363631e-03   1.000000e-35   1.000000e+00
5.463550e-03   1.000000e-35   1.000000e+00
5.565331e-03   1.000000e-35   1.000000e+00
5.669007e-03   1.000000e-35   1.000000e+00
5.774615e-03   1.000000e-35   1.000000e+00
5.882190e-03   1.000000e-35   1.000000e+00
5.991770e-03   1.000000e-35   1.000000e+00
6.103390e-03   1.000000e-35   1.000000e+00
6.217090e-03   1.000000e-35   1.000000e+00
6.332908e-03   1.000000e-35   1.000000e+00
6.450884e-03   1.000000e-35   1.000000e+00
6.571058e-03   1.000000e-35   1.000000e+00
6.693470e-03   1.000000e-35   1.000000e+00
6.818162e-03   1.000000e-35   1.000000e+00
6.945178e-03   1.000000e-35   1.000000e+00
7.074559e-03   1.000000e-35   1.000000e+00
7.206351e-03   1.000000e-35   1.000000e+00
7.340598e-03   9.999999e-36   1.000000e+00
7.477346e-03   9.999999e-36   1.000000e+00
7.616642e-03   9.999999e-36   1.000000e+00
7.758532e-03   9.999999e-36   1.000000e+00
7.903066e-03   1.000000e-35   1.000000e+00
8.050292e-03   1.000000e-35   1.000000e+00
8.200261e-03   1.000000e-35   1.000000e+00
8.353023e-03   1.000000e-35   1.000000e+00
8.508632e-03   1.000000e-35   1.000000e+00
8.667139e-03   1.000000e-35   1.000000e+00
8.828599e-03   1.000000e-35   1.000000e+00
8.993067e-03   1.000000e-35   1.000000e+00
9.160598e-03   9.999997e-36   1.000000e+00
9.331251e-03   9.999993e-36   1.000000e+00
9.505083e-03   9.999990e-36   1.000000e+00
9.682153e-03   9.999990e-36   1.000000e+00
9.862522e-03   9.999994e-36   1.000000e+00
1.004625e-02   1.000000e-35   1.000000e+00
1.023340e-02   1.000002e-35   1.000000e+00
1.042404e-02   1.000003e-35   1.000000e+00
1.061823e-02   1.000003e-35   1.000000e+00
1.081604e-02   1.000002e-35   1.000000e+00
1.101753e-02   9.999997e-36   1.000000e+00
1.122277e-02   9.999951e-36   1.000000e+00
1.143184e-02   9.999909e-36   9.999999e-01
1.164481e-02   9.999895e-36   9.999999e-01
1.186174e-02   9.999935e-36   1.000000e+00
1.208271e-02   1.000005e-35   1.000000e+00
1.230780e-02   1.000022e-35   1.000000e+00
1.253708e-02   1.000034e-35   1.000000e+00
1.277063e-02   1.000030e-35   1.000000e+00
1.300854e-02   9.999983e-36   1.000000e+00
1.325087e-02   9.999397e-36   9.999996e-01
1.349772e-02   9.998909e-36   9.999993e-01
1.374917e-02   9.998970e-36   9.999993e-01
1.400531e-02   1.000003e-35   1.000000e+00
1.426621e-02   1.000214e-35   1.000001e+00
1.453198e-02   1.000377e-35   1.000002e+00
1.480269e-02   1.000304e-35   1.000002e+00
1.507845e-02   9.998087e-36   9.999988e-01
1.535935e-02   9.990333e-36   9.999938e-01
1.564548e-02   9.986971e-36   9.999917e-01
1.593694e-02   9.995784e-36   9.999973e-01
1.623382e-02   1.002289e-35   1.000015e+00
1.653624e-02   1.006121e-35   1.000039e+00
1.684430e-02   1.009734e-35   1.000062e+00
1.715809e-02   1.011768e-35   1.000075e+00
1.747773e-02   1.010856e-35   1.000069e+00
1.780332e-02   1.005657e-35   1.000036e+00
1.813498e-02   9.949751e-36   9.999679e-01
1.847281e-02   9.805224e-36   9.998745e-01
1.881694e-02   9.674877e-36   9.997891e-01
1.916748e-02   9.610351e-36   9.997464e-01
1.952456e-02   9.662783e-36   9.997811e-01
1.988828e-02   9.887757e-36   9.999280e-01
2.025878e-02   1.034583e-35   1.000217e+00
2.063618e-02   1.103470e-35   1.000628e+00
2.102061e-02   1.190482e-35   1.001113e+00
2.141220e-02   1.289038e-35   1.001621e+00
2.181109e-02   1.389960e-35   1.002103e+00
2.221741e-02   1.480970e-35   1.002509e+00
2.263130e-02   1.547071e-35   1.002788e+00
2.305289e-02   1.572200e-35   1.002891e+00
2.348235e-02   1.542240e-35   1.002768e+00
2.391980e-02   1.448958e-35   1.002369e+00
2.436540e-02   1.293698e-35   1.001645e+00
2.481930e-02   1.089172e-35   1.000545e+00
2.528166e-02   8.593249e-36   9.990330e-01
2.575263e-02   6.463847e-36   9.972194e-01
2.623238e-02   4.800138e-36   9.953276e-01
2.672106e-02   3.645785e-36   9.935821e-01
2.721885e-02   2.933924e-36   9.922058e-01
2.772591e-02   2.591631e-36   9.914207e-01
2.824241e-02   2.603212e-36   9.914489e-01
2.876854e-02   3.080377e-36   9.925142e-01
2.930447e-02   4.448381e-36   9.948444e-01
2.985038e-02   8.121750e-36   9.986734e-01
3.040646e-02   1.933784e-35   1.004216e+00
3.097291e-02   5.947566e-35   1.011425e+00
3.154990e-02   2.289347e-34   1.020111e+00
3.213764e-02   1.068308e-33   1.030081e+00
3.273634e-02   5.854170e-33   1.041140e+00
3.334618e-02   3.649134e-32   1.053084e+00
3.396739e-02   2.506348e-31   1.065706e+00
3.460016e-02   1.837349e-30   1.078784e+00
3.524473e-02   1.392554e-29   1.092090e+00
3.590130e-02   1.056997e-28   1.105380e+00
3.657011e-02   7.783032e-28   1.118401e+00
3.725137e-02   5.385282e-27   1.130889e+00
3.794533e-02   3.391754e-26   1.142566e+00
3.865221e-02   1.883509e-25   1.153149e+00
3.937226e-02   8.933267e-25   1.162346e+00
4.010573e-02   3.505381e-24   1.169861e+00
4.085286e-02   1.117354e-23   1.175515e+00
4.161391e-02   2.943137e-23   1.179442e+00
4.238913e-02   6.554184e-23   1.181833e+00
4.317880e-02   1.262524e-22   1.182889e+00
4.398317e-02   2.152279e-22   1.182816e+00
4.480254e-02   3.322154e-22   1.181823e+00
4.563716e-02   4.750373e-22   1.180124e+00
4.648734e-02   6.437945e-22   1.177929e+00
4.735335e-02   8.460633e-22   1.175450e+00
4.823549e-02   1.103111e-21   1.172897e+00
4.913407e-02   1.459893e-21   1.170479e+00
5.004939e-02   2.006468e-21   1.168401e+00
5.098176e-02   2.912399e-21   1.166816e+00
5.193150e-02   4.447566e-21   1.165695e+00
5.289893e-02   7.087390e-21   1.164972e+00
5.388438e-02   1.168913e-20   1.164580e+00
5.488820e-02   1.979019e-20   1.164454e+00
5.591071e-02   3.411370e-20   1.164529e+00
5.695227e-02   5.938253e-20   1.164739e+00
5.801323e-02   1.035330e-19   1.165020e+00
5.909396e-02   1.793203e-19   1.165306e+00
6.019482e-02   3.060229e-19   1.165533e+00
6.131619e-02   5.118927e-19   1.165655e+00
6.245845e-02   8.408058e-19   1.165684e+00
6.362198e-02   1.360015e-18   1.165636e+00
6.480720e-02   2.172514e-18   1.165528e+00
6.601449e-02   3.437096e-18   1.165376e+00
6.724427e-02   5.400952e-18   1.165198e+00
6.849697e-02   8.453532e-18   1.165010e+00
6.977300e-02   1.321705e-17   1.164830e+00
7.107280e-02   2.069407e-17   1.164671e+00
7.239681e-02   3.244963e-17   1.164527e+00
7.374549e-02   5.091249e-17   1.164385e+00
7.511929e-02   7.985217e-17   1.164229e+00
7.651869e-02   1.250817e-16   1.164045e+00
7.794416e-02   1.954979e-16   1.163819e+00
7.939618e-02   3.045991e-16   1.163536e+00
8.087525e-02   4.726821e-16   1.163183e+00
8.238187e-02   7.304177e-16   1.162764e+00
8.391656e-02   1.124279e-15   1.162297e+00
8.547985e-02   1.724338e-15   1.161799e+00
8.707225e-02   2.636100e-15   1.161289e+00
8.869432e-02   4.018257e-15   1.160784e+00
9.034660e-02   6.109346e-15   1.160303e+00
9.202967e-02   9.266618e-15   1.159858e+00
9.374409e-02   1.402110e-14   1.159454e+00
9.549045e-02   2.116047e-14   1.159093e+00
9.726934e-02   3.184927e-14   1.158779e+00
9.908137e-02   4.780276e-14   1.158514e+00
1.009272e-01   7.153793e-14   1.158299e+00
1.028073e-01   1.067456e-13   1.158111e+00
1.047225e-01   1.588344e-13   1.157905e+00
1.066734e-01   2.357067e-13   1.157632e+00
1.086606e-01   3.488871e-13   1.157244e+00
1.106848e-01   5.151523e-13   1.156695e+00
1.127468e-01   7.588561e-13   1.155977e+00
1.148472e-01   1.115232e-12   1.155149e+00
1.169866e-01   1.635158e-12   1.154273e+00
1.191660e-01   2.391940e-12   1.153410e+00
1.213859e-01   3.490918e-12   1.152620e+00
1.236472e-01   5.082566e-12   1.151926e+00
1.259506e-01   7.380747e-12   1.151325e+00
1.282970e-01   1.068835e-11   1.150813e+00
1.306870e-01   1.543241e-11   1.150387e+00
1.331216e-01   2.221599e-11   1.150029e+00
1.356015e-01   3.189588e-11   1.149704e+00
1.381276e-01   4.568602e-11   1.149371e+00
1.407008e-01   6.530605e-11   1.148990e+00
1.433219e-01   9.317874e-11   1.148528e+00
1.459919e-01   1.326836e-10   1.147963e+00
1.487115e-01   1.885319e-10   1.147272e+00
1.514819e-01   2.672713e-10   1.146436e+00
1.543038e-01   3.780143e-10   1.145473e+00
1.571784e-01   5.334477e-10   1.144431e+00
1.601064e-01   7.511808e-10   1.143362e+00
1.630891e-01   1.055606e-09   1.142303e+00
1.661273e-01   1.480401e-09   1.141245e+00
1.692220e-01   2.071992e-09   1.140171e+00
1.723745e-01   2.894269e-09   1.139059e+00
1.755856e-01   4.034994e-09   1.137892e+00
1.788566e-01   5.614500e-09   1.136650e+00
1.821885e-01   7.797493e-09   1.135315e+00
1.855825e-01   1.080920e-08   1.133884e+00
1.890397e-01   1.495719e-08   1.132361e+00
1.925614e-01   2.066085e-08   1.130753e+00
1.961486e-01   2.849128e-08   1.129063e+00
1.998026e-01   3.922518e-08   1.127297e+00
2.035248e-01   5.391738e-08   1.125460e+00
2.073162e-01   7.399740e-08   1.123556e+00
2.111783e-01   1.014000e-07   1.121590e+00
2.151123e-01   1.387408e-07   1.119565e+00
2.191197e-01   1.895504e-07   1.117485e+00
2.232016e-01   2.585890e-07   1.115356e+00
2.273597e-01   3.522657e-07   1.113179e+00
2.315951e-01   4.791991e-07   1.110960e+00
2.359095e-01   6.509644e-07   1.108703e+00
2.403043e-01   8.830885e-07   1.106411e+00
2.447809e-01   1.196375e-06   1.104088e+00
2.493409e-01   1.618663e-06   1.101738e+00
2.539859e-01   2.187170e-06   1.099366e+00
2.587174e-01   2.951590e-06   1.096979e+00
2.635371e-01   3.978219e-06   1.094587e+00
2.684465e-01   5.355394e-06   1.092198e+00
2.734474e-01   7.200718e-06   1.089823e+00
2.785414e-01   9.670589e-06   1.087468e+00
2.837304e-01   1.297281e-05   1.085145e+00
2.890160e-01   1.738324e-05   1.082861e+00
2.944000e-01   2.326774e-05   1.080624e+00
2.998844e-01   3.111110e-05   1.078445e+00
3.054710e-01   4.155547e-05   1.076329e+00
3.111616e-01   5.545183e-05   1.074274e+00
3.169582e-01   7.392722e-05   1.072278e+00
3.228628e-01   9.847358e-05   1.070337e+00
3.288774e-01   1.310653e-04   1.068446e+00
3.350041e-01   1.743150e-04   1.066603e+00
3.412449e-01   2.316788e-04   1.064804e+00
3.476019e-01   3.077291e-04   1.063045e+00
3.540774e-01   4.085134e-04   1.061325e+00
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1.000000e+01   1.890000e+07   1.031300e+00
