# 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
1.009262e-03   1.653154e-15   1.185054e+00
1.018610e-03   1.871135e-15   1.185107e+00
1.028045e-03   2.117038e-15   1.185159e+00
1.037567e-03   2.394331e-15   1.185210e+00
1.047177e-03   2.706901e-15   1.185260e+00
1.056876e-03   3.059099e-15   1.185308e+00
1.066665e-03   3.455795e-15   1.185356e+00
1.076545e-03   3.902438e-15   1.185403e+00
1.086516e-03   4.405126e-15   1.185449e+00
1.096579e-03   4.970672e-15   1.185494e+00
1.106736e-03   5.606694e-15   1.185538e+00
1.116987e-03   6.321700e-15   1.185581e+00
1.127333e-03   7.125194e-15   1.185623e+00
1.137774e-03   8.027783e-15   1.185664e+00
1.148312e-03   9.041305e-15   1.185704e+00
1.158948e-03   1.017896e-14   1.185743e+00
1.169683e-03   1.145548e-14   1.185782e+00
1.180517e-03   1.288727e-14   1.185819e+00
1.191451e-03   1.449260e-14   1.185855e+00
1.202486e-03   1.629186e-14   1.185891e+00
1.213624e-03   1.830770e-14   1.185926e+00
1.224865e-03   2.056536e-14   1.185960e+00
1.236210e-03   2.309290e-14   1.185993e+00
1.247660e-03   2.592154e-14   1.186025e+00
1.259216e-03   2.908599e-14   1.186056e+00
1.270879e-03   3.262479e-14   1.186086e+00
1.282650e-03   3.658078e-14   1.186116e+00
1.294530e-03   4.100152e-14   1.186144e+00
1.306520e-03   4.593981e-14   1.186172e+00
1.318621e-03   5.145421e-14   1.186199e+00
1.330835e-03   5.760970e-14   1.186226e+00
1.343161e-03   6.447831e-14   1.186251e+00
1.355602e-03   7.213989e-14   1.186276e+00
1.368158e-03   8.068289e-14   1.186300e+00
1.380830e-03   9.020529e-14   1.186323e+00
1.393619e-03   1.008156e-13   1.186345e+00
1.406527e-03   1.126337e-13   1.186367e+00
1.419555e-03   1.257926e-13   1.186387e+00
1.432703e-03   1.404391e-13   1.186408e+00
1.445973e-03   1.567355e-13   1.186427e+00
1.459366e-03   1.748613e-13   1.186445e+00
1.472883e-03   1.950148e-13   1.186463e+00
1.486525e-03   2.174148e-13   1.186480e+00
1.500293e-03   2.423030e-13   1.186497e+00
1.514189e-03   2.699462e-13   1.186513e+00
1.528214e-03   3.006384e-13   1.186528e+00
1.542369e-03   3.347042e-13   1.186542e+00
1.556654e-03   3.725012e-13   1.186556e+00
1.571072e-03   4.144235e-13   1.186569e+00
1.585624e-03   4.609052e-13   1.186581e+00
1.600310e-03   5.124245e-13   1.186593e+00
1.615133e-03   5.695076e-13   1.186604e+00
1.630092e-03   6.327337e-13   1.186615e+00
1.645191e-03   7.027399e-13   1.186624e+00
1.660429e-03   7.802268e-13   1.186634e+00
1.675808e-03   8.659645e-13   1.186642e+00
1.691330e-03   9.607994e-13   1.186650e+00
1.706995e-03   1.065661e-12   1.186658e+00
1.722805e-03   1.181571e-12   1.186664e+00
1.738762e-03   1.309649e-12   1.186671e+00
1.754867e-03   1.451127e-12   1.186676e+00
1.771121e-03   1.607352e-12   1.186681e+00
1.787526e-03   1.779805e-12   1.186686e+00
1.804082e-03   1.970109e-12   1.186690e+00
1.820792e-03   2.180040e-12   1.186694e+00
1.837656e-03   2.411547e-12   1.186696e+00
1.854677e-03   2.666764e-12   1.186699e+00
1.871855e-03   2.948025e-12   1.186701e+00
1.889193e-03   3.257886e-12   1.186702e+00
1.906691e-03   3.599144e-12   1.186703e+00
1.924351e-03   3.974858e-12   1.186703e+00
1.942175e-03   4.388373e-12   1.186703e+00
1.960163e-03   4.843342e-12   1.186703e+00
1.978319e-03   5.343761e-12   1.186702e+00
1.996642e-03   5.893993e-12   1.186700e+00
2.015136e-03   6.498799e-12   1.186698e+00
2.033800e-03   7.163382e-12   1.186696e+00
2.052638e-03   7.893415e-12   1.186693e+00
2.071650e-03   8.695088e-12   1.186690e+00
2.090838e-03   9.575151e-12   1.186686e+00
2.110203e-03   1.054096e-11   1.186682e+00
2.129749e-03   1.160055e-11   1.186678e+00
2.149475e-03   1.276264e-11   1.186673e+00
2.169384e-03   1.403676e-11   1.186668e+00
2.189477e-03   1.543326e-11   1.186662e+00
2.209756e-03   1.696343e-11   1.186656e+00
2.230223e-03   1.863953e-11   1.186650e+00
2.250880e-03   2.047492e-11   1.186643e+00
2.271728e-03   2.248411e-11   1.186636e+00
2.292769e-03   2.468287e-11   1.186628e+00
2.314005e-03   2.708837e-11   1.186621e+00
2.335438e-03   2.971923e-11   1.186613e+00
2.357069e-03   3.259568e-11   1.186604e+00
2.378901e-03   3.573969e-11   1.186596e+00
2.400935e-03   3.917510e-11   1.186587e+00
2.423173e-03   4.292779e-11   1.186577e+00
2.445617e-03   4.702583e-11   1.186568e+00
2.468268e-03   5.149965e-11   1.186558e+00
2.491130e-03   5.638224e-11   1.186548e+00
2.514203e-03   6.170935e-11   1.186538e+00
2.537490e-03   6.751974e-11   1.186527e+00
2.560993e-03   7.385536e-11   1.186516e+00
2.584714e-03   8.076164e-11   1.186505e+00
2.608654e-03   8.828776e-11   1.186494e+00
2.632815e-03   9.648694e-11   1.186482e+00
2.657201e-03   1.054168e-10   1.186470e+00
2.681813e-03   1.151395e-10   1.186459e+00
2.706652e-03   1.257224e-10   1.186446e+00
2.731722e-03   1.372384e-10   1.186434e+00
2.757023e-03   1.497659e-10   1.186422e+00
2.782559e-03   1.633900e-10   1.186409e+00
2.808332e-03   1.782024e-10   1.186396e+00
2.834343e-03   1.943020e-10   1.186383e+00
2.860596e-03   2.117959e-10   1.186370e+00
2.887091e-03   2.307993e-10   1.186357e+00
2.913832e-03   2.514365e-10   1.186343e+00
2.940820e-03   2.738418e-10   1.186330e+00
2.968059e-03   2.981598e-10   1.186316e+00
2.995549e-03   3.245464e-10   1.186302e+00
3.023295e-03   3.531694e-10   1.186288e+00
3.051297e-03   3.842098e-10   1.186275e+00
3.079559e-03   4.178622e-10   1.186261e+00
3.108082e-03   4.543362e-10   1.186248e+00
3.136870e-03   4.938575e-10   1.186236e+00
3.165924e-03   5.366685e-10   1.186224e+00
3.195248e-03   5.830304e-10   1.186213e+00
3.224842e-03   6.332236e-10   1.186204e+00
3.254712e-03   6.875499e-10   1.186196e+00
3.284857e-03   7.463333e-10   1.186190e+00
3.315282e-03   8.099220e-10   1.186185e+00
3.345989e-03   8.786901e-10   1.186183e+00
3.376980e-03   9.530389e-10   1.186183e+00
3.408259e-03   1.033400e-09   1.186185e+00
3.439826e-03   1.120235e-09   1.186189e+00
3.471687e-03   1.214040e-09   1.186197e+00
3.503842e-03   1.315348e-09   1.186207e+00
3.536296e-03   1.424729e-09   1.186221e+00
3.569049e-03   1.542795e-09   1.186238e+00
3.602107e-03   1.670201e-09   1.186258e+00
3.635470e-03   1.807649e-09   1.186282e+00
3.669142e-03   1.955891e-09   1.186310e+00
3.703127e-03   2.115732e-09   1.186343e+00
3.737426e-03   2.288034e-09   1.186379e+00
3.772042e-03   2.473720e-09   1.186420e+00
3.806980e-03   2.673775e-09   1.186466e+00
3.842241e-03   2.889256e-09   1.186517e+00
3.877828e-03   3.121291e-09   1.186572e+00
3.913746e-03   3.371086e-09   1.186633e+00
3.949995e-03   3.639930e-09   1.186700e+00
3.986581e-03   3.929201e-09   1.186772e+00
4.023506e-03   4.240370e-09   1.186850e+00
4.060772e-03   4.575010e-09   1.186934e+00
4.098384e-03   4.934801e-09   1.187021e+00
4.136344e-03   5.321539e-09   1.187113e+00
4.174655e-03   5.737139e-09   1.187207e+00
4.213322e-03   6.183647e-09   1.187302e+00
4.252346e-03   6.663244e-09   1.187398e+00
4.291732e-03   7.178258e-09   1.187494e+00
4.331483e-03   7.731173e-09   1.187589e+00
4.371602e-03   8.324635e-09   1.187681e+00
4.412093e-03   8.961467e-09   1.187771e+00
4.452959e-03   9.644679e-09   1.187856e+00
4.494203e-03   1.037748e-08   1.187937e+00
4.535829e-03   1.116327e-08   1.188011e+00
4.577841e-03   1.200571e-08   1.188079e+00
4.620241e-03   1.290867e-08   1.188139e+00
4.663035e-03   1.387626e-08   1.188190e+00
4.706225e-03   1.491289e-08   1.188232e+00
4.749815e-03   1.602323e-08   1.188263e+00
4.793808e-03   1.721225e-08   1.188283e+00
4.838210e-03   1.848526e-08   1.188290e+00
4.883022e-03   1.984787e-08   1.188284e+00
4.928250e-03   2.130608e-08   1.188263e+00
4.973896e-03   2.286626e-08   1.188227e+00
5.019965e-03   2.453516e-08   1.188176e+00
5.066461e-03   2.631998e-08   1.188108e+00
5.113388e-03   2.822831e-08   1.188026e+00
5.160749e-03   3.026822e-08   1.187931e+00
5.208549e-03   3.244825e-08   1.187826e+00
5.256791e-03   3.477750e-08   1.187711e+00
5.305481e-03   3.726557e-08   1.187589e+00
5.354621e-03   3.992268e-08   1.187462e+00
5.404216e-03   4.275962e-08   1.187330e+00
5.454271e-03   4.578786e-08   1.187197e+00
5.504790e-03   4.901952e-08   1.187063e+00
5.555776e-03   5.246744e-08   1.186930e+00
5.607235e-03   5.614523e-08   1.186800e+00
5.659170e-03   6.006727e-08   1.186675e+00
5.711586e-03   6.424878e-08   1.186556e+00
5.764488e-03   6.870586e-08   1.186445e+00
5.817880e-03   7.345555e-08   1.186344e+00
5.871766e-03   7.851583e-08   1.186255e+00
5.926152e-03   8.390572e-08   1.186178e+00
5.981041e-03   8.964532e-08   1.186117e+00
6.036439e-03   9.575586e-08   1.186073e+00
6.092349e-03   1.022598e-07   1.186044e+00
6.148778e-03   1.091811e-07   1.186029e+00
6.205729e-03   1.165448e-07   1.186025e+00
6.263207e-03   1.243775e-07   1.186032e+00
6.321218e-03   1.327074e-07   1.186046e+00
6.379767e-03   1.415641e-07   1.186065e+00
6.438857e-03   1.509791e-07   1.186088e+00
6.498495e-03   1.609853e-07   1.186112e+00
6.558686e-03   1.716177e-07   1.186136e+00
6.619433e-03   1.829131e-07   1.186156e+00
6.680744e-03   1.949106e-07   1.186172e+00
6.742622e-03   2.076510e-07   1.186180e+00
6.805074e-03   2.211778e-07   1.186180e+00
6.868104e-03   2.355365e-07   1.186168e+00
6.931717e-03   2.507753e-07   1.186143e+00
6.995920e-03   2.669450e-07   1.186103e+00
7.060718e-03   2.840988e-07   1.186046e+00
7.126115e-03   3.022918e-07   1.185977e+00
7.192119e-03   3.215815e-07   1.185901e+00
7.258734e-03   3.420280e-07   1.185822e+00
7.325965e-03   3.636942e-07   1.185746e+00
7.393820e-03   3.866461e-07   1.185679e+00
7.462303e-03   4.109524e-07   1.185625e+00
7.531420e-03   4.366851e-07   1.185591e+00
7.601178e-03   4.639193e-07   1.185580e+00
7.671581e-03   4.927335e-07   1.185599e+00
7.742637e-03   5.232093e-07   1.185652e+00
7.814351e-03   5.554319e-07   1.185746e+00
7.886729e-03   5.894901e-07   1.185884e+00
7.959777e-03   6.254761e-07   1.186073e+00
8.033502e-03   6.634862e-07   1.186318e+00
8.107910e-03   7.036262e-07   1.186614e+00
8.183007e-03   7.460140e-07   1.186950e+00
8.258799e-03   7.907754e-07   1.187312e+00
8.335294e-03   8.380437e-07   1.187686e+00
8.412497e-03   8.879608e-07   1.188060e+00
8.490415e-03   9.406775e-07   1.188419e+00
8.569055e-03   9.963543e-07   1.188750e+00
8.648423e-03   1.055162e-06   1.189041e+00
8.728527e-03   1.117282e-06   1.189277e+00
8.809372e-03   1.182910e-06   1.189446e+00
8.890966e-03   1.252250e-06   1.189533e+00
8.973316e-03   1.325525e-06   1.189525e+00
9.056428e-03   1.402967e-06   1.189411e+00
9.140311e-03   1.484799e-06   1.189198e+00
9.224970e-03   1.571237e-06   1.188905e+00
9.310413e-03   1.662504e-06   1.188551e+00
9.396648e-03   1.758829e-06   1.188157e+00
9.483682e-03   1.860449e-06   1.187741e+00
9.571522e-03   1.967606e-06   1.187323e+00
9.660175e-03   2.080548e-06   1.186922e+00
9.749649e-03   2.199530e-06   1.186557e+00
9.839952e-03   2.324810e-06   1.186248e+00
9.931092e-03   2.456652e-06   1.186015e+00
1.002308e-02   2.595323e-06   1.185875e+00
1.011591e-02   2.741119e-06   1.185836e+00
1.020961e-02   2.894390e-06   1.185879e+00
1.030417e-02   3.055510e-06   1.185983e+00
1.039961e-02   3.224877e-06   1.186125e+00
1.049593e-02   3.402908e-06   1.186286e+00
1.059315e-02   3.590043e-06   1.186444e+00
1.069126e-02   3.786751e-06   1.186576e+00
1.079029e-02   3.993523e-06   1.186663e+00
1.089023e-02   4.210883e-06   1.186681e+00
1.099110e-02   4.439381e-06   1.186611e+00
1.109290e-02   4.679585e-06   1.186437e+00
1.119564e-02   4.931985e-06   1.186177e+00
1.129934e-02   5.197048e-06   1.185862e+00
1.140400e-02   5.475241e-06   1.185521e+00
1.150962e-02   5.767031e-06   1.185183e+00
1.161623e-02   6.072882e-06   1.184878e+00
1.172382e-02   6.393252e-06   1.184636e+00
1.183241e-02   6.728595e-06   1.184485e+00
1.194200e-02   7.079350e-06   1.184457e+00
1.205261e-02   7.445956e-06   1.184577e+00
1.216424e-02   7.829134e-06   1.184845e+00
1.227691e-02   8.229984e-06   1.185223e+00
1.239062e-02   8.649734e-06   1.185673e+00
1.250539e-02   9.089745e-06   1.186157e+00
1.262121e-02   9.551519e-06   1.186637e+00
1.273811e-02   1.003671e-05   1.187075e+00
1.285610e-02   1.054716e-05   1.187431e+00
1.297517e-02   1.108489e-05   1.187669e+00
1.309535e-02   1.165198e-05   1.187755e+00
1.321664e-02   1.224962e-05   1.187702e+00
1.333906e-02   1.287842e-05   1.187540e+00
1.346261e-02   1.353888e-05   1.187303e+00
1.358730e-02   1.423135e-05   1.187023e+00
1.371315e-02   1.495601e-05   1.186731e+00
1.384016e-02   1.571283e-05   1.186460e+00
1.396835e-02   1.650156e-05   1.186242e+00
1.409773e-02   1.732188e-05   1.186105e+00
1.422830e-02   1.817483e-05   1.186048e+00
1.436009e-02   1.906235e-05   1.186054e+00
1.449310e-02   1.998660e-05   1.186104e+00
1.462733e-02   2.094997e-05   1.186183e+00
1.476281e-02   2.195510e-05   1.186272e+00
1.489955e-02   2.300492e-05   1.186354e+00
1.503755e-02   2.410264e-05   1.186413e+00
1.517683e-02   2.525116e-05   1.186438e+00
1.531740e-02   2.645238e-05   1.186436e+00
1.545928e-02   2.770805e-05   1.186416e+00
1.560246e-02   2.901994e-05   1.186384e+00
1.574698e-02   3.038979e-05   1.186348e+00
1.589283e-02   3.181933e-05   1.186316e+00
1.604003e-02   3.331025e-05   1.186296e+00
1.618860e-02   3.486447e-05   1.186292e+00
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4.321511e+00   1.083294e+01   1.119637e+00
4.361538e+00   1.099125e+01   1.119167e+00
4.401935e+00   1.115177e+01   1.118689e+00
4.442707e+00   1.131450e+01   1.118205e+00
4.483856e+00   1.147944e+01   1.117714e+00
4.525386e+00   1.164662e+01   1.117216e+00
4.567301e+00   1.181605e+01   1.116711e+00
4.609604e+00   1.198772e+01   1.116200e+00
4.652300e+00   1.216165e+01   1.115681e+00
4.695390e+00   1.233785e+01   1.115156e+00
4.738880e+00   1.251632e+01   1.114624e+00
4.782772e+00   1.269708e+01   1.114086e+00
4.827071e+00   1.288012e+01   1.113541e+00
4.871780e+00   1.306545e+01   1.112989e+00
4.916904e+00   1.325307e+01   1.112431e+00
4.962445e+00   1.344299e+01   1.111867e+00
5.008408e+00   1.363520e+01   1.111295e+00
5.054797e+00   1.382972e+01   1.110718e+00
5.101615e+00   1.402656e+01   1.110137e+00
5.148867e+00   1.422576e+01   1.109553e+00
5.196557e+00   1.442734e+01   1.108968e+00
5.244689e+00   1.463133e+01   1.108383e+00
5.293266e+00   1.483775e+01   1.107801e+00
5.342293e+00   1.504663e+01   1.107223e+00
5.391775e+00   1.525800e+01   1.106651e+00
5.441714e+00   1.547189e+01   1.106086e+00
5.492116e+00   1.568832e+01   1.105531e+00
5.542986e+00   1.590734e+01   1.104987e+00
5.594326e+00   1.612895e+01   1.104455e+00
5.646141e+00   1.635321e+01   1.103937e+00
5.698437e+00   1.658013e+01   1.103435e+00
5.751217e+00   1.680974e+01   1.102951e+00
5.804486e+00   1.704209e+01   1.102486e+00
5.858248e+00   1.727720e+01   1.102042e+00
5.912508e+00   1.751510e+01   1.101621e+00
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6.022541e+00   1.799942e+01   1.100852e+00
6.078323e+00   1.824590e+01   1.100506e+00
6.134622e+00   1.849530e+01   1.100182e+00
6.191442e+00   1.874764e+01   1.099877e+00
6.248788e+00   1.900295e+01   1.099587e+00
6.306666e+00   1.926126e+01   1.099308e+00
6.365079e+00   1.952258e+01   1.099038e+00
6.424034e+00   1.978695e+01   1.098772e+00
6.483534e+00   2.005439e+01   1.098507e+00
6.543586e+00   2.032492e+01   1.098241e+00
6.604194e+00   2.059858e+01   1.097968e+00
6.665363e+00   2.087539e+01   1.097687e+00
6.727099e+00   2.115537e+01   1.097393e+00
6.789407e+00   2.143855e+01   1.097083e+00
6.852292e+00   2.172496e+01   1.096754e+00
6.915759e+00   2.201462e+01   1.096402e+00
6.979814e+00   2.230756e+01   1.096024e+00
7.044462e+00   2.260380e+01   1.095617e+00
7.109709e+00   2.290332e+01   1.095182e+00
7.175561e+00   2.320608e+01   1.094722e+00
7.242022e+00   2.351202e+01   1.094241e+00
7.309099e+00   2.382108e+01   1.093743e+00
7.376798e+00   2.413322e+01   1.093231e+00
7.445123e+00   2.444835e+01   1.092709e+00
7.514081e+00   2.476643e+01   1.092181e+00
7.583678e+00   2.508737e+01   1.091650e+00
7.653919e+00   2.541110e+01   1.091120e+00
7.724811e+00   2.573753e+01   1.090594e+00
7.796360e+00   2.606659e+01   1.090076e+00
7.868572e+00   2.639817e+01   1.089569e+00
7.941452e+00   2.673220e+01   1.089078e+00
8.015007e+00   2.706856e+01   1.088606e+00
8.089243e+00   2.740719e+01   1.088154e+00
8.164168e+00   2.774810e+01   1.087721e+00
8.239786e+00   2.809132e+01   1.087305e+00
8.316104e+00   2.843689e+01   1.086904e+00
8.393129e+00   2.878482e+01   1.086517e+00
8.470868e+00   2.913516e+01   1.086140e+00
8.549327e+00   2.948794e+01   1.085773e+00
8.628513e+00   2.984319e+01   1.085412e+00
8.708431e+00   3.020095e+01   1.085057e+00
8.789091e+00   3.056125e+01   1.084705e+00
8.870497e+00   3.092415e+01   1.084354e+00
8.952657e+00   3.128969e+01   1.084002e+00
9.035578e+00   3.165790e+01   1.083648e+00
9.119268e+00   3.202884e+01   1.083288e+00
9.203732e+00   3.240256e+01   1.082922e+00
9.288979e+00   3.277910e+01   1.082548e+00
9.375015e+00   3.315852e+01   1.082162e+00
9.461848e+00   3.354087e+01   1.081764e+00
9.549486e+00   3.392622e+01   1.081351e+00
9.637935e+00   3.431461e+01   1.080922e+00
9.727203e+00   3.470613e+01   1.080474e+00
9.817298e+00   3.510082e+01   1.080006e+00
9.908228e+00   3.549875e+01   1.079515e+00
1.000000e+01   3.590000e+01   1.079000e+00
