# d + d > a + g   [d_d__a_g]   ref=NACRE, Xu et al. 2010, 2011
# detailed balance: alpha=4.531e+10 beta=1.5 gamma=-276.727  Q=23.8465
# T9                 rate                error
1.000000e-03   1.460000e-15   1.185000e+00
1.018629e-03   1.871599e-15   1.185107e+00
1.037605e-03   2.395511e-15   1.185210e+00
1.056935e-03   3.061346e-15   1.185309e+00
1.076624e-03   3.906236e-15   1.185403e+00
1.096681e-03   4.976682e-15   1.185494e+00
1.117111e-03   6.330816e-15   1.185581e+00
1.137921e-03   8.041205e-15   1.185665e+00
1.159120e-03   1.019829e-14   1.185744e+00
1.180713e-03   1.291462e-14   1.185820e+00
1.202708e-03   1.633005e-14   1.185892e+00
1.225114e-03   2.061806e-14   1.185960e+00
1.247936e-03   2.599356e-14   1.186025e+00
1.271184e-03   3.272236e-14   1.186087e+00
1.294865e-03   4.113275e-14   1.186145e+00
1.318987e-03   5.162955e-14   1.186200e+00
1.343558e-03   6.471122e-14   1.186252e+00
1.368587e-03   8.099060e-14   1.186300e+00
1.394083e-03   1.012201e-13   1.186346e+00
1.420053e-03   1.263221e-13   1.186388e+00
1.446507e-03   1.574255e-13   1.186428e+00
1.473454e-03   1.959106e-13   1.186464e+00
1.500903e-03   2.434617e-13   1.186498e+00
1.528864e-03   3.021318e-13   1.186528e+00
1.557345e-03   3.744198e-13   1.186557e+00
1.586357e-03   4.633623e-13   1.186582e+00
1.615909e-03   5.726450e-13   1.186605e+00
1.646012e-03   7.067345e-13   1.186625e+00
1.676675e-03   8.710367e-13   1.186643e+00
1.707910e-03   1.072085e-12   1.186658e+00
1.739726e-03   1.317764e-12   1.186671e+00
1.772136e-03   1.617577e-12   1.186682e+00
1.805149e-03   1.982962e-12   1.186690e+00
1.838777e-03   2.427669e-12   1.186697e+00
1.873032e-03   2.968199e-12   1.186701e+00
1.907924e-03   3.624336e-12   1.186703e+00
1.943467e-03   4.419763e-12   1.186703e+00
1.979672e-03   5.382794e-12   1.186702e+00
2.016551e-03   6.547237e-12   1.186698e+00
2.054117e-03   7.953406e-12   1.186693e+00
2.092383e-03   9.649308e-12   1.186686e+00
2.131362e-03   1.169204e-11   1.186677e+00
2.171068e-03   1.414943e-11   1.186667e+00
2.211512e-03   1.710193e-11   1.186656e+00
2.252711e-03   2.064487e-11   1.186642e+00
2.294676e-03   2.489105e-11   1.186628e+00
2.337424e-03   2.997379e-11   1.186612e+00
2.380968e-03   3.605044e-11   1.186595e+00
2.425323e-03   4.330652e-11   1.186576e+00
2.470504e-03   5.196044e-11   1.186557e+00
2.516527e-03   6.226910e-11   1.186537e+00
2.563407e-03   7.453423e-11   1.186515e+00
2.611161e-03   8.910982e-11   1.186493e+00
2.659804e-03   1.064107e-10   1.186469e+00
2.709354e-03   1.269223e-10   1.186445e+00
2.759826e-03   1.512122e-10   1.186420e+00
2.811239e-03   1.799431e-10   1.186395e+00
2.863610e-03   2.138880e-10   1.186368e+00
2.916956e-03   2.539473e-10   1.186342e+00
2.971296e-03   3.011687e-10   1.186314e+00
3.026648e-03   3.567702e-10   1.186287e+00
3.083031e-03   4.221652e-10   1.186259e+00
3.140465e-03   4.989925e-10   1.186234e+00
3.198969e-03   5.891500e-10   1.186212e+00
3.258562e-03   6.948330e-10   1.186195e+00
3.319266e-03   8.185781e-10   1.186185e+00
3.381101e-03   9.633131e-10   1.186183e+00
3.444087e-03   1.132413e-09   1.186190e+00
3.508247e-03   1.329765e-09   1.186209e+00
3.573602e-03   1.559840e-09   1.186240e+00
3.640175e-03   1.827775e-09   1.186286e+00
3.707988e-03   2.139467e-09   1.186347e+00
3.777064e-03   2.501674e-09   1.186426e+00
3.847427e-03   2.922140e-09   1.186524e+00
3.919100e-03   3.409719e-09   1.186643e+00
3.992109e-03   3.974534e-09   1.186784e+00
4.066478e-03   4.628141e-09   1.186947e+00
4.142232e-03   5.383736e-09   1.187127e+00
4.219398e-03   6.256375e-09   1.187317e+00
4.298001e-03   7.263203e-09   1.187509e+00
4.378069e-03   8.423737e-09   1.187696e+00
4.459628e-03   9.760171e-09   1.187869e+00
4.542706e-03   1.129772e-08   1.188023e+00
4.627332e-03   1.306501e-08   1.188148e+00
4.713535e-03   1.509451e-08   1.188238e+00
4.801343e-03   1.742301e-08   1.188285e+00
4.890787e-03   2.009220e-08   1.188281e+00
4.981898e-03   2.314920e-08   1.188220e+00
5.074705e-03   2.664733e-08   1.188094e+00
5.169242e-03   3.064652e-08   1.187913e+00
5.265540e-03   3.521422e-08   1.187690e+00
5.363631e-03   4.042630e-08   1.187438e+00
5.463550e-03   4.636801e-08   1.187172e+00
5.565331e-03   5.313503e-08   1.186905e+00
5.669007e-03   6.083466e-08   1.186652e+00
5.774615e-03   6.958702e-08   1.186425e+00
5.882190e-03   7.952655e-08   1.186239e+00
5.991770e-03   9.080342e-08   1.186107e+00
6.103390e-03   1.035854e-07   1.186040e+00
6.217090e-03   1.180606e-07   1.186026e+00
6.332908e-03   1.344391e-07   1.186049e+00
6.450884e-03   1.529555e-07   1.186093e+00
6.571058e-03   1.738714e-07   1.186140e+00
6.693470e-03   1.974781e-07   1.186174e+00
6.818162e-03   2.241002e-07   1.186178e+00
6.945178e-03   2.540987e-07   1.186136e+00
7.074559e-03   2.878746e-07   1.186033e+00
7.206351e-03   3.258663e-07   1.185884e+00
7.340598e-03   3.685504e-07   1.185731e+00
7.477346e-03   4.164491e-07   1.185616e+00
7.616642e-03   4.701326e-07   1.185582e+00
7.758532e-03   5.302229e-07   1.185670e+00
7.903066e-03   5.973960e-07   1.185922e+00
8.050292e-03   6.723854e-07   1.186381e+00
8.200261e-03   7.560262e-07   1.187031e+00
8.353023e-03   8.493074e-07   1.187773e+00
8.508632e-03   9.533502e-07   1.188499e+00
8.667139e-03   1.069423e-06   1.189102e+00
8.828599e-03   1.198963e-06   1.189474e+00
8.993067e-03   1.343606e-06   1.189508e+00
9.160598e-03   1.505156e-06   1.189134e+00
9.331251e-03   1.685388e-06   1.188459e+00
9.505083e-03   1.886127e-06   1.187638e+00
9.682153e-03   2.109306e-06   1.186828e+00
9.862522e-03   2.356949e-06   1.186182e+00
1.004625e-02   2.631163e-06   1.185856e+00
1.023340e-02   2.934317e-06   1.185900e+00
1.042404e-02   3.269349e-06   1.186166e+00
1.061823e-02   3.639569e-06   1.186481e+00
1.081604e-02   4.048678e-06   1.186675e+00
1.101753e-02   4.500810e-06   1.186576e+00
1.122277e-02   5.000326e-06   1.186099e+00
1.143184e-02   5.551086e-06   1.185430e+00
1.164481e-02   6.156833e-06   1.184806e+00
1.186174e-02   6.821254e-06   1.184465e+00
1.208271e-02   7.547943e-06   1.184637e+00
1.230780e-02   8.342456e-06   1.185340e+00
1.253708e-02   9.214290e-06   1.186291e+00
1.277063e-02   1.017527e-05   1.187183e+00
1.300854e-02   1.123983e-05   1.187709e+00
1.325087e-02   1.242287e-05   1.187666e+00
1.349772e-02   1.373130e-05   1.187227e+00
1.374917e-02   1.516811e-05   1.186650e+00
1.400531e-02   1.673341e-05   1.186194e+00
1.426621e-02   1.842731e-05   1.186044e+00
1.453198e-02   2.026239e-05   1.186125e+00
1.480269e-02   2.225750e-05   1.186297e+00
1.507845e-02   2.443561e-05   1.186423e+00
1.535935e-02   2.681904e-05   1.186432e+00
1.564548e-02   2.942283e-05   1.186373e+00
1.593694e-02   3.226098e-05   1.186309e+00
1.623382e-02   3.534763e-05   1.186294e+00
1.653624e-02   3.870111e-05   1.186340e+00
1.684430e-02   4.234301e-05   1.186435e+00
1.715809e-02   4.629676e-05   1.186567e+00
1.747773e-02   5.058771e-05   1.186725e+00
1.780332e-02   5.524340e-05   1.186896e+00
1.813498e-02   6.029365e-05   1.187070e+00
1.847281e-02   6.576970e-05   1.187237e+00
1.881694e-02   7.170351e-05   1.187389e+00
1.916748e-02   7.812895e-05   1.187520e+00
1.952456e-02   8.508190e-05   1.187622e+00
1.988828e-02   9.260032e-05   1.187688e+00
2.025878e-02   1.007244e-04   1.187712e+00
2.063618e-02   1.094973e-04   1.187697e+00
2.102061e-02   1.189647e-04   1.187648e+00
2.141220e-02   1.291754e-04   1.187574e+00
2.181109e-02   1.401809e-04   1.187481e+00
2.221741e-02   1.520356e-04   1.187377e+00
2.263130e-02   1.647972e-04   1.187267e+00
2.305289e-02   1.785264e-04   1.187161e+00
2.348235e-02   1.932876e-04   1.187063e+00
2.391980e-02   2.091484e-04   1.186983e+00
2.436540e-02   2.261803e-04   1.186926e+00
2.481930e-02   2.444582e-04   1.186900e+00
2.528166e-02   2.640614e-04   1.186912e+00
2.575263e-02   2.850742e-04   1.186959e+00
2.623238e-02   3.075865e-04   1.187034e+00
2.672106e-02   3.316931e-04   1.187129e+00
2.721885e-02   3.574944e-04   1.187237e+00
2.772591e-02   3.850963e-04   1.187350e+00
2.824241e-02   4.146106e-04   1.187459e+00
2.876854e-02   4.461553e-04   1.187558e+00
2.930447e-02   4.798549e-04   1.187638e+00
2.985038e-02   5.158408e-04   1.187691e+00
3.040646e-02   5.542515e-04   1.187711e+00
3.097291e-02   5.952295e-04   1.187697e+00
3.154990e-02   6.389225e-04   1.187655e+00
3.213764e-02   6.854851e-04   1.187588e+00
3.273634e-02   7.350783e-04   1.187501e+00
3.334618e-02   7.878704e-04   1.187399e+00
3.396739e-02   8.440369e-04   1.187286e+00
3.460016e-02   9.037602e-04   1.187166e+00
3.524473e-02   9.672306e-04   1.187044e+00
3.590130e-02   1.034646e-03   1.186924e+00
3.657011e-02   1.106210e-03   1.186811e+00
3.725137e-02   1.182138e-03   1.186709e+00
3.794533e-02   1.262650e-03   1.186622e+00
3.865221e-02   1.347974e-03   1.186555e+00
3.937226e-02   1.438348e-03   1.186513e+00
4.010573e-02   1.534016e-03   1.186500e+00
4.085286e-02   1.635233e-03   1.186518e+00
4.161391e-02   1.742270e-03   1.186564e+00
4.238913e-02   1.855406e-03   1.186634e+00
4.317880e-02   1.974933e-03   1.186725e+00
4.398317e-02   2.101154e-03   1.186832e+00
4.480254e-02   2.234382e-03   1.186951e+00
4.563716e-02   2.374944e-03   1.187078e+00
4.648734e-02   2.523177e-03   1.187211e+00
4.735335e-02   2.679430e-03   1.187343e+00
4.823549e-02   2.844066e-03   1.187473e+00
4.913407e-02   3.017461e-03   1.187595e+00
5.004939e-02   3.200003e-03   1.187706e+00
5.098176e-02   3.392093e-03   1.187802e+00
5.193150e-02   3.594146e-03   1.187882e+00
5.289893e-02   3.806588e-03   1.187947e+00
5.388438e-02   4.029860e-03   1.187994e+00
5.488820e-02   4.264416e-03   1.188024e+00
5.591071e-02   4.510726e-03   1.188035e+00
5.695227e-02   4.769274e-03   1.188028e+00
5.801323e-02   5.040559e-03   1.188001e+00
5.909396e-02   5.325096e-03   1.187954e+00
6.019482e-02   5.623416e-03   1.187887e+00
6.131619e-02   5.936060e-03   1.187801e+00
6.245845e-02   6.263570e-03   1.187707e+00
6.362198e-02   6.606500e-03   1.187615e+00
6.480720e-02   6.965414e-03   1.187537e+00
6.601449e-02   7.340888e-03   1.187483e+00
6.724427e-02   7.733511e-03   1.187465e+00
6.849697e-02   8.143881e-03   1.187493e+00
6.977300e-02   8.572607e-03   1.187578e+00
7.107280e-02   9.020326e-03   1.187727e+00
7.239681e-02   9.487814e-03   1.187915e+00
7.374549e-02   9.975944e-03   1.188105e+00
7.511929e-02   1.048564e-02   1.188259e+00
7.651869e-02   1.101789e-02   1.188339e+00
7.794416e-02   1.157373e-02   1.188307e+00
7.939618e-02   1.215427e-02   1.188126e+00
8.087525e-02   1.276068e-02   1.187763e+00
8.238187e-02   1.339366e-02   1.187247e+00
8.391656e-02   1.405348e-02   1.186658e+00
8.547985e-02   1.474028e-02   1.186079e+00
8.707225e-02   1.545407e-02   1.185591e+00
8.869432e-02   1.619472e-02   1.185275e+00
9.034660e-02   1.696195e-02   1.185211e+00
9.202967e-02   1.775585e-02   1.185431e+00
9.374409e-02   1.857774e-02   1.185851e+00
9.549045e-02   1.942925e-02   1.186374e+00
9.726934e-02   2.031218e-02   1.186904e+00
9.908137e-02   2.122857e-02   1.187344e+00
1.009272e-01   2.218060e-02   1.187600e+00
1.028073e-01   2.316940e-02   1.187659e+00
1.047225e-01   2.419476e-02   1.187587e+00
1.066734e-01   2.525619e-02   1.187456e+00
1.086606e-01   2.635298e-02   1.187338e+00
1.106848e-01   2.748415e-02   1.187301e+00
1.127468e-01   2.865028e-02   1.187367e+00
1.148472e-01   2.985489e-02   1.187482e+00
1.169866e-01   3.110225e-02   1.187586e+00
1.191660e-01   3.239720e-02   1.187619e+00
1.213859e-01   3.374487e-02   1.187525e+00
1.236472e-01   3.514640e-02   1.187318e+00
1.259506e-01   3.659929e-02   1.187063e+00
1.282970e-01   3.810032e-02   1.186824e+00
1.306870e-01   3.964552e-02   1.186667e+00
1.331216e-01   4.123277e-02   1.186618e+00
1.356015e-01   4.286435e-02   1.186637e+00
1.381276e-01   4.454334e-02   1.186680e+00
1.407008e-01   4.627320e-02   1.186701e+00
1.433219e-01   4.805697e-02   1.186678e+00
1.459919e-01   4.989642e-02   1.186636e+00
1.487115e-01   5.179326e-02   1.186603e+00
1.514819e-01   5.374925e-02   1.186607e+00
1.543038e-01   5.576534e-02   1.186615e+00
1.571784e-01   5.784163e-02   1.186538e+00
1.601064e-01   5.997802e-02   1.186287e+00
1.630891e-01   6.217458e-02   1.185809e+00
1.661273e-01   6.443259e-02   1.185179e+00
1.692220e-01   6.675369e-02   1.184499e+00
1.723745e-01   6.913962e-02   1.183873e+00
1.755856e-01   7.159219e-02   1.183404e+00
1.788566e-01   7.411331e-02   1.183194e+00
1.821885e-01   7.670492e-02   1.183335e+00
1.855825e-01   7.936806e-02   1.183800e+00
1.890397e-01   8.210304e-02   1.184478e+00
1.925614e-01   8.491004e-02   1.185257e+00
1.961486e-01   8.778911e-02   1.186025e+00
1.998026e-01   9.074012e-02   1.186671e+00
2.035248e-01   9.376314e-02   1.187101e+00
2.073162e-01   9.685973e-02   1.187313e+00
2.111783e-01   1.000320e-01   1.187330e+00
2.151123e-01   1.032823e-01   1.187177e+00
2.191197e-01   1.066130e-01   1.186877e+00
2.232016e-01   1.100267e-01   1.186454e+00
2.273597e-01   1.135262e-01   1.185933e+00
2.315951e-01   1.171146e-01   1.185337e+00
2.359095e-01   1.207948e-01   1.184691e+00
2.403043e-01   1.245705e-01   1.184019e+00
2.447809e-01   1.284451e-01   1.183344e+00
2.493409e-01   1.324225e-01   1.182690e+00
2.539859e-01   1.365064e-01   1.182079e+00
2.587174e-01   1.406972e-01   1.181512e+00
2.635371e-01   1.449942e-01   1.180985e+00
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1.000000e+01   3.590000e+01   1.079000e+00
