# C12 + a > O16 + g   [C12_a__O16_g]   ref=NACRE, Xu et al. 2010, 2011
# detailed balance: alpha=5.1353e+10 beta=1.5 gamma=-83.1105  Q=7.1619
# T9                 rate                error
1.000000e-03   1.000000e-35   1.000000e+00
1.009262e-03   1.000000e-35   1.000000e+00
1.018610e-03   1.000000e-35   1.000000e+00
1.028045e-03   1.000000e-35   1.000000e+00
1.037567e-03   1.000000e-35   1.000000e+00
1.047177e-03   1.000000e-35   1.000000e+00
1.056876e-03   1.000000e-35   1.000000e+00
1.066665e-03   1.000000e-35   1.000000e+00
1.076545e-03   1.000000e-35   1.000000e+00
1.086516e-03   1.000000e-35   1.000000e+00
1.096579e-03   1.000000e-35   1.000000e+00
1.106736e-03   1.000000e-35   1.000000e+00
1.116987e-03   1.000000e-35   1.000000e+00
1.127333e-03   1.000000e-35   1.000000e+00
1.137774e-03   1.000000e-35   1.000000e+00
1.148312e-03   1.000000e-35   1.000000e+00
1.158948e-03   1.000000e-35   1.000000e+00
1.169683e-03   1.000000e-35   1.000000e+00
1.180517e-03   1.000000e-35   1.000000e+00
1.191451e-03   1.000000e-35   1.000000e+00
1.202486e-03   1.000000e-35   1.000000e+00
1.213624e-03   1.000000e-35   1.000000e+00
1.224865e-03   1.000000e-35   1.000000e+00
1.236210e-03   1.000000e-35   1.000000e+00
1.247660e-03   1.000000e-35   1.000000e+00
1.259216e-03   1.000000e-35   1.000000e+00
1.270879e-03   1.000000e-35   1.000000e+00
1.282650e-03   1.000000e-35   1.000000e+00
1.294530e-03   1.000000e-35   1.000000e+00
1.306520e-03   1.000000e-35   1.000000e+00
1.318621e-03   1.000000e-35   1.000000e+00
1.330835e-03   1.000000e-35   1.000000e+00
1.343161e-03   1.000000e-35   1.000000e+00
1.355602e-03   1.000000e-35   1.000000e+00
1.368158e-03   1.000000e-35   1.000000e+00
1.380830e-03   1.000000e-35   1.000000e+00
1.393619e-03   1.000000e-35   1.000000e+00
1.406527e-03   1.000000e-35   1.000000e+00
1.419555e-03   1.000000e-35   1.000000e+00
1.432703e-03   1.000000e-35   1.000000e+00
1.445973e-03   1.000000e-35   1.000000e+00
1.459366e-03   1.000000e-35   1.000000e+00
1.472883e-03   1.000000e-35   1.000000e+00
1.486525e-03   1.000000e-35   1.000000e+00
1.500293e-03   1.000000e-35   1.000000e+00
1.514189e-03   1.000000e-35   1.000000e+00
1.528214e-03   1.000000e-35   1.000000e+00
1.542369e-03   1.000000e-35   1.000000e+00
1.556654e-03   1.000000e-35   1.000000e+00
1.571072e-03   1.000000e-35   1.000000e+00
1.585624e-03   1.000000e-35   1.000000e+00
1.600310e-03   1.000000e-35   1.000000e+00
1.615133e-03   1.000000e-35   1.000000e+00
1.630092e-03   1.000000e-35   1.000000e+00
1.645191e-03   1.000000e-35   1.000000e+00
1.660429e-03   1.000000e-35   1.000000e+00
1.675808e-03   1.000000e-35   1.000000e+00
1.691330e-03   1.000000e-35   1.000000e+00
1.706995e-03   1.000000e-35   1.000000e+00
1.722805e-03   1.000000e-35   1.000000e+00
1.738762e-03   1.000000e-35   1.000000e+00
1.754867e-03   1.000000e-35   1.000000e+00
1.771121e-03   1.000000e-35   1.000000e+00
1.787526e-03   1.000000e-35   1.000000e+00
1.804082e-03   1.000000e-35   1.000000e+00
1.820792e-03   1.000000e-35   1.000000e+00
1.837656e-03   1.000000e-35   1.000000e+00
1.854677e-03   1.000000e-35   1.000000e+00
1.871855e-03   1.000000e-35   1.000000e+00
1.889193e-03   1.000000e-35   1.000000e+00
1.906691e-03   1.000000e-35   1.000000e+00
1.924351e-03   1.000000e-35   1.000000e+00
1.942175e-03   1.000000e-35   1.000000e+00
1.960163e-03   1.000000e-35   1.000000e+00
1.978319e-03   1.000000e-35   1.000000e+00
1.996642e-03   1.000000e-35   1.000000e+00
2.015136e-03   1.000000e-35   1.000000e+00
2.033800e-03   1.000000e-35   1.000000e+00
2.052638e-03   1.000000e-35   1.000000e+00
2.071650e-03   1.000000e-35   1.000000e+00
2.090838e-03   1.000000e-35   1.000000e+00
2.110203e-03   1.000000e-35   1.000000e+00
2.129749e-03   1.000000e-35   1.000000e+00
2.149475e-03   1.000000e-35   1.000000e+00
2.169384e-03   1.000000e-35   1.000000e+00
2.189477e-03   1.000000e-35   1.000000e+00
2.209756e-03   1.000000e-35   1.000000e+00
2.230223e-03   1.000000e-35   1.000000e+00
2.250880e-03   1.000000e-35   1.000000e+00
2.271728e-03   1.000000e-35   1.000000e+00
2.292769e-03   1.000000e-35   1.000000e+00
2.314005e-03   1.000000e-35   1.000000e+00
2.335438e-03   1.000000e-35   1.000000e+00
2.357069e-03   1.000000e-35   1.000000e+00
2.378901e-03   1.000000e-35   1.000000e+00
2.400935e-03   1.000000e-35   1.000000e+00
2.423173e-03   1.000000e-35   1.000000e+00
2.445617e-03   1.000000e-35   1.000000e+00
2.468268e-03   1.000000e-35   1.000000e+00
2.491130e-03   1.000000e-35   1.000000e+00
2.514203e-03   1.000000e-35   1.000000e+00
2.537490e-03   1.000000e-35   1.000000e+00
2.560993e-03   1.000000e-35   1.000000e+00
2.584714e-03   1.000000e-35   1.000000e+00
2.608654e-03   1.000000e-35   1.000000e+00
2.632815e-03   1.000000e-35   1.000000e+00
2.657201e-03   1.000000e-35   1.000000e+00
2.681813e-03   1.000000e-35   1.000000e+00
2.706652e-03   1.000000e-35   1.000000e+00
2.731722e-03   1.000000e-35   1.000000e+00
2.757023e-03   1.000000e-35   1.000000e+00
2.782559e-03   1.000000e-35   1.000000e+00
2.808332e-03   1.000000e-35   1.000000e+00
2.834343e-03   1.000000e-35   1.000000e+00
2.860596e-03   1.000000e-35   1.000000e+00
2.887091e-03   1.000000e-35   1.000000e+00
2.913832e-03   1.000000e-35   1.000000e+00
2.940820e-03   1.000000e-35   1.000000e+00
2.968059e-03   1.000000e-35   1.000000e+00
2.995549e-03   1.000000e-35   1.000000e+00
3.023295e-03   1.000000e-35   1.000000e+00
3.051297e-03   1.000000e-35   1.000000e+00
3.079559e-03   1.000000e-35   1.000000e+00
3.108082e-03   1.000000e-35   1.000000e+00
3.136870e-03   1.000000e-35   1.000000e+00
3.165924e-03   1.000000e-35   1.000000e+00
3.195248e-03   1.000000e-35   1.000000e+00
3.224842e-03   1.000000e-35   1.000000e+00
3.254712e-03   1.000000e-35   1.000000e+00
3.284857e-03   1.000000e-35   1.000000e+00
3.315282e-03   1.000000e-35   1.000000e+00
3.345989e-03   1.000000e-35   1.000000e+00
3.376980e-03   1.000000e-35   1.000000e+00
3.408259e-03   1.000000e-35   1.000000e+00
3.439826e-03   1.000000e-35   1.000000e+00
3.471687e-03   1.000000e-35   1.000000e+00
3.503842e-03   1.000000e-35   1.000000e+00
3.536296e-03   1.000000e-35   1.000000e+00
3.569049e-03   1.000000e-35   1.000000e+00
3.602107e-03   1.000000e-35   1.000000e+00
3.635470e-03   1.000000e-35   1.000000e+00
3.669142e-03   1.000000e-35   1.000000e+00
3.703127e-03   1.000000e-35   1.000000e+00
3.737426e-03   1.000000e-35   1.000000e+00
3.772042e-03   1.000000e-35   1.000000e+00
3.806980e-03   1.000000e-35   1.000000e+00
3.842241e-03   1.000000e-35   1.000000e+00
3.877828e-03   1.000000e-35   1.000000e+00
3.913746e-03   1.000000e-35   1.000000e+00
3.949995e-03   1.000000e-35   1.000000e+00
3.986581e-03   1.000000e-35   1.000000e+00
4.023506e-03   1.000000e-35   1.000000e+00
4.060772e-03   1.000000e-35   1.000000e+00
4.098384e-03   1.000000e-35   1.000000e+00
4.136344e-03   1.000000e-35   1.000000e+00
4.174655e-03   1.000000e-35   1.000000e+00
4.213322e-03   1.000000e-35   1.000000e+00
4.252346e-03   1.000000e-35   1.000000e+00
4.291732e-03   1.000000e-35   1.000000e+00
4.331483e-03   1.000000e-35   1.000000e+00
4.371602e-03   1.000000e-35   1.000000e+00
4.412093e-03   1.000000e-35   1.000000e+00
4.452959e-03   1.000000e-35   1.000000e+00
4.494203e-03   1.000000e-35   1.000000e+00
4.535829e-03   1.000000e-35   1.000000e+00
4.577841e-03   1.000000e-35   1.000000e+00
4.620241e-03   1.000000e-35   1.000000e+00
4.663035e-03   1.000000e-35   1.000000e+00
4.706225e-03   1.000000e-35   1.000000e+00
4.749815e-03   1.000000e-35   1.000000e+00
4.793808e-03   1.000000e-35   1.000000e+00
4.838210e-03   1.000000e-35   1.000000e+00
4.883022e-03   1.000000e-35   1.000000e+00
4.928250e-03   1.000000e-35   1.000000e+00
4.973896e-03   1.000000e-35   1.000000e+00
5.019965e-03   1.000000e-35   1.000000e+00
5.066461e-03   1.000000e-35   1.000000e+00
5.113388e-03   1.000000e-35   1.000000e+00
5.160749e-03   1.000000e-35   1.000000e+00
5.208549e-03   1.000000e-35   1.000000e+00
5.256791e-03   1.000000e-35   1.000000e+00
5.305481e-03   1.000000e-35   1.000000e+00
5.354621e-03   1.000000e-35   1.000000e+00
5.404216e-03   1.000000e-35   1.000000e+00
5.454271e-03   1.000000e-35   1.000000e+00
5.504790e-03   1.000000e-35   1.000000e+00
5.555776e-03   1.000000e-35   1.000000e+00
5.607235e-03   1.000000e-35   1.000000e+00
5.659170e-03   1.000000e-35   1.000000e+00
5.711586e-03   1.000000e-35   1.000000e+00
5.764488e-03   1.000000e-35   1.000000e+00
5.817880e-03   1.000000e-35   1.000000e+00
5.871766e-03   1.000000e-35   1.000000e+00
5.926152e-03   1.000000e-35   1.000000e+00
5.981041e-03   1.000000e-35   1.000000e+00
6.036439e-03   1.000000e-35   1.000000e+00
6.092349e-03   1.000000e-35   1.000000e+00
6.148778e-03   1.000000e-35   1.000000e+00
6.205729e-03   1.000000e-35   1.000000e+00
6.263207e-03   1.000000e-35   1.000000e+00
6.321218e-03   1.000000e-35   1.000000e+00
6.379767e-03   1.000000e-35   1.000000e+00
6.438857e-03   1.000000e-35   1.000000e+00
6.498495e-03   1.000000e-35   1.000000e+00
6.558686e-03   1.000000e-35   1.000000e+00
6.619433e-03   1.000000e-35   1.000000e+00
6.680744e-03   1.000000e-35   1.000000e+00
6.742622e-03   1.000000e-35   1.000000e+00
6.805074e-03   1.000000e-35   1.000000e+00
6.868104e-03   1.000000e-35   1.000000e+00
6.931717e-03   1.000000e-35   1.000000e+00
6.995920e-03   1.000000e-35   1.000000e+00
7.060718e-03   1.000000e-35   1.000000e+00
7.126115e-03   1.000000e-35   1.000000e+00
7.192119e-03   1.000000e-35   1.000000e+00
7.258734e-03   1.000000e-35   1.000000e+00
7.325965e-03   1.000000e-35   1.000000e+00
7.393820e-03   1.000000e-35   1.000000e+00
7.462303e-03   1.000000e-35   1.000000e+00
7.531420e-03   1.000000e-35   1.000000e+00
7.601178e-03   1.000000e-35   1.000000e+00
7.671581e-03   1.000000e-35   1.000000e+00
7.742637e-03   1.000000e-35   1.000000e+00
7.814351e-03   1.000000e-35   1.000000e+00
7.886729e-03   1.000000e-35   1.000000e+00
7.959777e-03   1.000000e-35   1.000000e+00
8.033502e-03   1.000000e-35   1.000000e+00
8.107910e-03   1.000000e-35   1.000000e+00
8.183007e-03   1.000000e-35   1.000000e+00
8.258799e-03   1.000000e-35   1.000000e+00
8.335294e-03   1.000000e-35   1.000000e+00
8.412497e-03   1.000000e-35   1.000000e+00
8.490415e-03   1.000000e-35   1.000000e+00
8.569055e-03   1.000000e-35   1.000000e+00
8.648423e-03   1.000000e-35   1.000000e+00
8.728527e-03   1.000000e-35   1.000000e+00
8.809372e-03   1.000000e-35   1.000000e+00
8.890966e-03   1.000000e-35   1.000000e+00
8.973316e-03   1.000000e-35   1.000000e+00
9.056428e-03   1.000000e-35   1.000000e+00
9.140311e-03   1.000000e-35   1.000000e+00
9.224970e-03   9.999999e-36   1.000000e+00
9.310413e-03   9.999999e-36   1.000000e+00
9.396648e-03   9.999999e-36   1.000000e+00
9.483682e-03   9.999999e-36   1.000000e+00
9.571522e-03   9.999999e-36   1.000000e+00
9.660175e-03   9.999999e-36   1.000000e+00
9.749649e-03   9.999999e-36   1.000000e+00
9.839952e-03   9.999999e-36   1.000000e+00
9.931092e-03   1.000000e-35   1.000000e+00
1.002308e-02   1.000000e-35   1.000000e+00
1.011591e-02   1.000000e-35   1.000000e+00
1.020961e-02   1.000000e-35   1.000000e+00
1.030417e-02   1.000000e-35   1.000000e+00
1.039961e-02   1.000000e-35   1.000000e+00
1.049593e-02   1.000000e-35   1.000000e+00
1.059315e-02   1.000000e-35   1.000000e+00
1.069126e-02   1.000000e-35   1.000000e+00
1.079029e-02   1.000000e-35   1.000000e+00
1.089023e-02   1.000000e-35   1.000000e+00
1.099110e-02   1.000000e-35   1.000000e+00
1.109290e-02   9.999998e-36   1.000000e+00
1.119564e-02   9.999995e-36   1.000000e+00
1.129934e-02   9.999992e-36   1.000000e+00
1.140400e-02   9.999989e-36   1.000000e+00
1.150962e-02   9.999987e-36   1.000000e+00
1.161623e-02   9.999987e-36   1.000000e+00
1.172382e-02   9.999988e-36   1.000000e+00
1.183241e-02   9.999991e-36   1.000000e+00
1.194200e-02   9.999996e-36   1.000000e+00
1.205261e-02   1.000000e-35   1.000000e+00
1.216424e-02   1.000001e-35   1.000000e+00
1.227691e-02   1.000003e-35   1.000000e+00
1.239062e-02   1.000003e-35   1.000000e+00
1.250539e-02   1.000004e-35   1.000000e+00
1.262121e-02   1.000004e-35   1.000000e+00
1.273811e-02   1.000004e-35   1.000000e+00
1.285610e-02   1.000003e-35   1.000000e+00
1.297517e-02   1.000001e-35   1.000000e+00
1.309535e-02   9.999974e-36   9.999999e-01
1.321664e-02   9.999936e-36   9.999999e-01
1.333906e-02   9.999898e-36   9.999998e-01
1.346261e-02   9.999869e-36   9.999997e-01
1.358730e-02   9.999856e-36   9.999997e-01
1.371315e-02   9.999864e-36   9.999997e-01
1.384016e-02   9.999902e-36   9.999998e-01
1.396835e-02   9.999975e-36   9.999999e-01
1.409773e-02   1.000009e-35   1.000000e+00
1.422830e-02   1.000023e-35   1.000001e+00
1.436009e-02   1.000036e-35   1.000001e+00
1.449310e-02   1.000045e-35   1.000001e+00
1.462733e-02   1.000048e-35   1.000001e+00
1.476281e-02   1.000042e-35   1.000001e+00
1.489955e-02   1.000023e-35   1.000001e+00
1.503755e-02   9.999891e-36   9.999998e-01
1.517683e-02   9.999418e-36   9.999987e-01
1.531740e-02   9.998925e-36   9.999976e-01
1.545928e-02   9.998532e-36   9.999968e-01
1.560246e-02   9.998362e-36   9.999964e-01
1.574698e-02   9.998535e-36   9.999968e-01
1.589283e-02   9.999173e-36   9.999982e-01
1.604003e-02   1.000040e-35   1.000001e+00
1.618860e-02   1.000222e-35   1.000005e+00
1.633854e-02   1.000444e-35   1.000010e+00
1.648987e-02   1.000687e-35   1.000015e+00
1.664260e-02   1.000930e-35   1.000021e+00
1.679675e-02   1.001150e-35   1.000025e+00
1.695232e-02   1.001328e-35   1.000029e+00
1.710934e-02   1.001443e-35   1.000032e+00
1.726781e-02   1.001473e-35   1.000032e+00
1.742775e-02   1.001397e-35   1.000031e+00
1.758917e-02   1.001196e-35   1.000026e+00
1.775208e-02   1.000847e-35   1.000019e+00
1.791650e-02   1.000331e-35   1.000007e+00
1.808245e-02   9.996279e-36   9.999918e-01
1.824993e-02   9.987709e-36   9.999729e-01
1.841897e-02   9.978421e-36   9.999523e-01
1.858957e-02   9.969263e-36   9.999321e-01
1.876175e-02   9.961077e-36   9.999139e-01
1.893552e-02   9.954705e-36   9.998998e-01
1.911091e-02   9.950985e-36   9.998916e-01
1.928792e-02   9.950757e-36   9.998911e-01
1.946656e-02   9.954865e-36   9.999002e-01
1.964687e-02   9.964156e-36   9.999207e-01
1.982884e-02   9.979491e-36   9.999547e-01
2.001250e-02   1.000174e-35   1.000004e+00
2.019786e-02   1.003139e-35   1.000069e+00
2.038493e-02   1.006756e-35   1.000149e+00
2.057374e-02   1.010909e-35   1.000239e+00
2.076430e-02   1.015481e-35   1.000339e+00
2.095662e-02   1.020355e-35   1.000445e+00
2.115073e-02   1.025409e-35   1.000554e+00
2.134663e-02   1.030522e-35   1.000664e+00
2.154435e-02   1.035567e-35   1.000772e+00
2.174389e-02   1.040418e-35   1.000875e+00
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5.912508e+00   1.309583e+01   1.068157e+00
5.967271e+00   1.408246e+01   1.068688e+00
6.022541e+00   1.513774e+01   1.069213e+00
6.078323e+00   1.626573e+01   1.069734e+00
6.134622e+00   1.747080e+01   1.070251e+00
6.191442e+00   1.875749e+01   1.070766e+00
6.248788e+00   2.013060e+01   1.071280e+00
6.306666e+00   2.159510e+01   1.071794e+00
6.365079e+00   2.315618e+01   1.072309e+00
6.424034e+00   2.481923e+01   1.072827e+00
6.483534e+00   2.658987e+01   1.073349e+00
6.543586e+00   2.847393e+01   1.073876e+00
6.604194e+00   3.047743e+01   1.074409e+00
6.665363e+00   3.260663e+01   1.074950e+00
6.727099e+00   3.486796e+01   1.075499e+00
6.789407e+00   3.726809e+01   1.076059e+00
6.852292e+00   3.981385e+01   1.076630e+00
6.915759e+00   4.251229e+01   1.077213e+00
6.979814e+00   4.537062e+01   1.077810e+00
7.044462e+00   4.839625e+01   1.078422e+00
7.109709e+00   5.159705e+01   1.079045e+00
7.175561e+00   5.498133e+01   1.079674e+00
7.242022e+00   5.855767e+01   1.080303e+00
7.309099e+00   6.233494e+01   1.080928e+00
7.376798e+00   6.632227e+01   1.081541e+00
7.445123e+00   7.052912e+01   1.082139e+00
7.514081e+00   7.496519e+01   1.082714e+00
7.583678e+00   7.964050e+01   1.083261e+00
7.653919e+00   8.456536e+01   1.083775e+00
7.724811e+00   8.975034e+01   1.084251e+00
7.796360e+00   9.520633e+01   1.084681e+00
7.868572e+00   1.009445e+02   1.085061e+00
7.941452e+00   1.069763e+02   1.085386e+00
8.015007e+00   1.133135e+02   1.085648e+00
8.089243e+00   1.199680e+02   1.085847e+00
8.164168e+00   1.269514e+02   1.085987e+00
8.239786e+00   1.342758e+02   1.086076e+00
8.316104e+00   1.419530e+02   1.086120e+00
8.393129e+00   1.499952e+02   1.086125e+00
8.470868e+00   1.584145e+02   1.086099e+00
8.549327e+00   1.672232e+02   1.086047e+00
8.628513e+00   1.764335e+02   1.085976e+00
8.708431e+00   1.860577e+02   1.085893e+00
8.789091e+00   1.961079e+02   1.085805e+00
8.870497e+00   2.065964e+02   1.085718e+00
8.952657e+00   2.175352e+02   1.085639e+00
9.035578e+00   2.289362e+02   1.085574e+00
9.119268e+00   2.408111e+02   1.085531e+00
9.203732e+00   2.531716e+02   1.085514e+00
9.288979e+00   2.660287e+02   1.085532e+00
9.375015e+00   2.793936e+02   1.085591e+00
9.461848e+00   2.932768e+02   1.085697e+00
9.549486e+00   3.076886e+02   1.085857e+00
9.637935e+00   3.226387e+02   1.086078e+00
9.727203e+00   3.381364e+02   1.086366e+00
9.817298e+00   3.541906e+02   1.086728e+00
9.908228e+00   3.708093e+02   1.087170e+00
1.000000e+01   3.880000e+02   1.087700e+00
