# t + t > a + n + n   [t_t__a_n_n]   ref=Nagai et al. 2006
# forward[T9] = With[{T923=T9^(2/3),T913=T9^(1/3),T943=T9^(4/3),T953=T9^(5/3)},(1/T923 1.67*^9 E^(-4.872/T913) (1. -0.272 T9+0.086 T913-0.455 T923+0.148 T943+0.225 T953))]   uncertainty factor f = 3
# T9                 rate                error
1.000000e-03   1.162879e-10   3.000000e+00
1.009262e-03   1.342111e-10   3.000000e+00
1.018610e-03   1.548259e-10   3.000000e+00
1.028045e-03   1.785253e-10   3.000000e+00
1.037567e-03   2.057586e-10   3.000000e+00
1.047177e-03   2.370384e-10   3.000000e+00
1.056876e-03   2.729497e-10   3.000000e+00
1.066665e-03   3.141596e-10   3.000000e+00
1.076545e-03   3.614285e-10   3.000000e+00
1.086516e-03   4.156229e-10   3.000000e+00
1.096579e-03   4.777295e-10   3.000000e+00
1.106736e-03   5.488717e-10   3.000000e+00
1.116987e-03   6.303277e-10   3.000000e+00
1.127333e-03   7.235512e-10   3.000000e+00
1.137774e-03   8.301949e-10   3.000000e+00
1.148312e-03   9.521369e-10   3.000000e+00
1.158948e-03   1.091510e-09   3.000000e+00
1.169683e-03   1.250737e-09   3.000000e+00
1.180517e-03   1.432565e-09   3.000000e+00
1.191451e-03   1.640113e-09   3.000000e+00
1.202486e-03   1.876914e-09   3.000000e+00
1.213624e-03   2.146976e-09   3.000000e+00
1.224865e-03   2.454836e-09   3.000000e+00
1.236210e-03   2.805634e-09   3.000000e+00
1.247660e-03   3.205187e-09   3.000000e+00
1.259216e-03   3.660074e-09   3.000000e+00
1.270879e-03   4.177740e-09   3.000000e+00
1.282650e-03   4.766596e-09   3.000000e+00
1.294530e-03   5.436148e-09   3.000000e+00
1.306520e-03   6.197132e-09   3.000000e+00
1.318621e-03   7.061670e-09   3.000000e+00
1.330835e-03   8.043439e-09   3.000000e+00
1.343161e-03   9.157869e-09   3.000000e+00
1.355602e-03   1.042235e-08   3.000000e+00
1.368158e-03   1.185650e-08   3.000000e+00
1.380830e-03   1.348241e-08   3.000000e+00
1.393619e-03   1.532494e-08   3.000000e+00
1.406527e-03   1.741209e-08   3.000000e+00
1.419555e-03   1.977538e-08   3.000000e+00
1.432703e-03   2.245023e-08   3.000000e+00
1.445973e-03   2.547648e-08   3.000000e+00
1.459366e-03   2.889889e-08   3.000000e+00
1.472883e-03   3.276776e-08   3.000000e+00
1.486525e-03   3.713955e-08   3.000000e+00
1.500293e-03   4.207764e-08   3.000000e+00
1.514189e-03   4.765314e-08   3.000000e+00
1.528214e-03   5.394578e-08   3.000000e+00
1.542369e-03   6.104498e-08   3.000000e+00
1.556654e-03   6.905090e-08   3.000000e+00
1.571072e-03   7.807577e-08   3.000000e+00
1.585624e-03   8.824522e-08   3.000000e+00
1.600310e-03   9.969989e-08   3.000000e+00
1.615133e-03   1.125971e-07   3.000000e+00
1.630092e-03   1.271128e-07   3.000000e+00
1.645191e-03   1.434438e-07   3.000000e+00
1.660429e-03   1.618098e-07   3.000000e+00
1.675808e-03   1.824563e-07   3.000000e+00
1.691330e-03   2.056575e-07   3.000000e+00
1.706995e-03   2.317195e-07   3.000000e+00
1.722805e-03   2.609837e-07   3.000000e+00
1.738762e-03   2.938308e-07   3.000000e+00
1.754867e-03   3.306853e-07   3.000000e+00
1.771121e-03   3.720205e-07   3.000000e+00
1.787526e-03   4.183633e-07   3.000000e+00
1.804082e-03   4.703005e-07   3.000000e+00
1.820792e-03   5.284856e-07   3.000000e+00
1.837656e-03   5.936454e-07   3.000000e+00
1.854677e-03   6.665885e-07   3.000000e+00
1.871855e-03   7.482140e-07   3.000000e+00
1.889193e-03   8.395211e-07   3.000000e+00
1.906691e-03   9.416199e-07   3.000000e+00
1.924351e-03   1.055743e-06   3.000000e+00
1.942175e-03   1.183261e-06   3.000000e+00
1.960163e-03   1.325691e-06   3.000000e+00
1.978319e-03   1.484719e-06   3.000000e+00
1.996642e-03   1.662214e-06   3.000000e+00
2.015136e-03   1.860248e-06   3.000000e+00
2.033800e-03   2.081117e-06   3.000000e+00
2.052638e-03   2.327364e-06   3.000000e+00
2.071650e-03   2.601806e-06   3.000000e+00
2.090838e-03   2.907559e-06   3.000000e+00
2.110203e-03   3.248073e-06   3.000000e+00
2.129749e-03   3.627164e-06   3.000000e+00
2.149475e-03   4.049050e-06   3.000000e+00
2.169384e-03   4.518395e-06   3.000000e+00
2.189477e-03   5.040350e-06   3.000000e+00
2.209756e-03   5.620608e-06   3.000000e+00
2.230223e-03   6.265451e-06   3.000000e+00
2.250880e-03   6.981815e-06   3.000000e+00
2.271728e-03   7.777352e-06   3.000000e+00
2.292769e-03   8.660501e-06   3.000000e+00
2.314005e-03   9.640569e-06   3.000000e+00
2.335438e-03   1.072781e-05   3.000000e+00
2.357069e-03   1.193353e-05   3.000000e+00
2.378901e-03   1.327017e-05   3.000000e+00
2.400935e-03   1.475143e-05   3.000000e+00
2.423173e-03   1.639239e-05   3.000000e+00
2.445617e-03   1.820966e-05   3.000000e+00
2.468268e-03   2.022147e-05   3.000000e+00
2.491130e-03   2.244790e-05   3.000000e+00
2.514203e-03   2.491101e-05   3.000000e+00
2.537490e-03   2.763502e-05   3.000000e+00
2.560993e-03   3.064655e-05   3.000000e+00
2.584714e-03   3.397482e-05   3.000000e+00
2.608654e-03   3.765192e-05   3.000000e+00
2.632815e-03   4.171303e-05   3.000000e+00
2.657201e-03   4.619677e-05   3.000000e+00
2.681813e-03   5.114545e-05   3.000000e+00
2.706652e-03   5.660547e-05   3.000000e+00
2.731722e-03   6.262769e-05   3.000000e+00
2.757023e-03   6.926778e-05   3.000000e+00
2.782559e-03   7.658673e-05   3.000000e+00
2.808332e-03   8.465128e-05   3.000000e+00
2.834343e-03   9.353450e-05   3.000000e+00
2.860596e-03   1.033163e-04   3.000000e+00
2.887091e-03   1.140840e-04   3.000000e+00
2.913832e-03   1.259333e-04   3.000000e+00
2.940820e-03   1.389684e-04   3.000000e+00
2.968059e-03   1.533035e-04   3.000000e+00
2.995549e-03   1.690631e-04   3.000000e+00
3.023295e-03   1.863832e-04   3.000000e+00
3.051297e-03   2.054123e-04   3.000000e+00
3.079559e-03   2.263123e-04   3.000000e+00
3.108082e-03   2.492599e-04   3.000000e+00
3.136870e-03   2.744478e-04   3.000000e+00
3.165924e-03   3.020858e-04   3.000000e+00
3.195248e-03   3.324028e-04   3.000000e+00
3.224842e-03   3.656480e-04   3.000000e+00
3.254712e-03   4.020928e-04   3.000000e+00
3.284857e-03   4.420328e-04   3.000000e+00
3.315282e-03   4.857894e-04   3.000000e+00
3.345989e-03   5.337127e-04   3.000000e+00
3.376980e-03   5.861830e-04   3.000000e+00
3.408259e-03   6.436141e-04   3.000000e+00
3.439826e-03   7.064557e-04   3.000000e+00
3.471687e-03   7.751966e-04   3.000000e+00
3.503842e-03   8.503674e-04   3.000000e+00
3.536296e-03   9.325447e-04   3.000000e+00
3.569049e-03   1.022354e-03   3.000000e+00
3.602107e-03   1.120475e-03   3.000000e+00
3.635470e-03   1.227644e-03   3.000000e+00
3.669142e-03   1.344661e-03   3.000000e+00
3.703127e-03   1.472391e-03   3.000000e+00
3.737426e-03   1.611775e-03   3.000000e+00
3.772042e-03   1.763830e-03   3.000000e+00
3.806980e-03   1.929658e-03   3.000000e+00
3.842241e-03   2.110454e-03   3.000000e+00
3.877828e-03   2.307511e-03   3.000000e+00
3.913746e-03   2.522227e-03   3.000000e+00
3.949995e-03   2.756118e-03   3.000000e+00
3.986581e-03   3.010819e-03   3.000000e+00
4.023506e-03   3.288103e-03   3.000000e+00
4.060772e-03   3.589883e-03   3.000000e+00
4.098384e-03   3.918229e-03   3.000000e+00
4.136344e-03   4.275376e-03   3.000000e+00
4.174655e-03   4.663737e-03   3.000000e+00
4.213322e-03   5.085921e-03   3.000000e+00
4.252346e-03   5.544741e-03   3.000000e+00
4.291732e-03   6.043233e-03   3.000000e+00
4.331483e-03   6.584675e-03   3.000000e+00
4.371602e-03   7.172599e-03   3.000000e+00
4.412093e-03   7.810815e-03   3.000000e+00
4.452959e-03   8.503430e-03   3.000000e+00
4.494203e-03   9.254869e-03   3.000000e+00
4.535829e-03   1.006990e-02   3.000000e+00
4.577841e-03   1.095366e-02   3.000000e+00
4.620241e-03   1.191167e-02   3.000000e+00
4.663035e-03   1.294988e-02   3.000000e+00
4.706225e-03   1.407471e-02   3.000000e+00
4.749815e-03   1.529302e-02   3.000000e+00
4.793808e-03   1.661224e-02   3.000000e+00
4.838210e-03   1.804033e-02   3.000000e+00
4.883022e-03   1.958585e-02   3.000000e+00
4.928250e-03   2.125800e-02   3.000000e+00
4.973896e-03   2.306666e-02   3.000000e+00
5.019965e-03   2.502245e-02   3.000000e+00
5.066461e-03   2.713675e-02   3.000000e+00
5.113388e-03   2.942182e-02   3.000000e+00
5.160749e-03   3.189076e-02   3.000000e+00
5.208549e-03   3.455767e-02   3.000000e+00
5.256791e-03   3.743764e-02   3.000000e+00
5.305481e-03   4.054688e-02   3.000000e+00
5.354621e-03   4.390274e-02   3.000000e+00
5.404216e-03   4.752382e-02   3.000000e+00
5.454271e-03   5.143005e-02   3.000000e+00
5.504790e-03   5.564278e-02   3.000000e+00
5.555776e-03   6.018487e-02   3.000000e+00
5.607235e-03   6.508079e-02   3.000000e+00
5.659170e-03   7.035671e-02   3.000000e+00
5.711586e-03   7.604067e-02   3.000000e+00
5.764488e-03   8.216263e-02   3.000000e+00
5.817880e-03   8.875464e-02   3.000000e+00
5.871766e-03   9.585095e-02   3.000000e+00
5.926152e-03   1.034882e-01   3.000000e+00
5.981041e-03   1.117055e-01   3.000000e+00
6.036439e-03   1.205447e-01   3.000000e+00
6.092349e-03   1.300503e-01   3.000000e+00
6.148778e-03   1.402701e-01   3.000000e+00
6.205729e-03   1.512550e-01   3.000000e+00
6.263207e-03   1.630592e-01   3.000000e+00
6.321218e-03   1.757406e-01   3.000000e+00
6.379767e-03   1.893610e-01   3.000000e+00
6.438857e-03   2.039864e-01   3.000000e+00
6.498495e-03   2.196868e-01   3.000000e+00
6.558686e-03   2.365373e-01   3.000000e+00
6.619433e-03   2.546174e-01   3.000000e+00
6.680744e-03   2.740123e-01   3.000000e+00
6.742622e-03   2.948123e-01   3.000000e+00
6.805074e-03   3.171137e-01   3.000000e+00
6.868104e-03   3.410192e-01   3.000000e+00
6.931717e-03   3.666378e-01   3.000000e+00
6.995920e-03   3.940856e-01   3.000000e+00
7.060718e-03   4.234861e-01   3.000000e+00
7.126115e-03   4.549706e-01   3.000000e+00
7.192119e-03   4.886787e-01   3.000000e+00
7.258734e-03   5.247587e-01   3.000000e+00
7.325965e-03   5.633684e-01   3.000000e+00
7.393820e-03   6.046751e-01   3.000000e+00
7.462303e-03   6.488568e-01   3.000000e+00
7.531420e-03   6.961024e-01   3.000000e+00
7.601178e-03   7.466123e-01   3.000000e+00
7.671581e-03   8.005994e-01   3.000000e+00
7.742637e-03   8.582895e-01   3.000000e+00
7.814351e-03   9.199220e-01   3.000000e+00
7.886729e-03   9.857510e-01   3.000000e+00
7.959777e-03   1.056046e+00   3.000000e+00
8.033502e-03   1.131092e+00   3.000000e+00
8.107910e-03   1.211192e+00   3.000000e+00
8.183007e-03   1.296667e+00   3.000000e+00
8.258799e-03   1.387856e+00   3.000000e+00
8.335294e-03   1.485118e+00   3.000000e+00
8.412497e-03   1.588836e+00   3.000000e+00
8.490415e-03   1.699410e+00   3.000000e+00
8.569055e-03   1.817269e+00   3.000000e+00
8.648423e-03   1.942864e+00   3.000000e+00
8.728527e-03   2.076672e+00   3.000000e+00
8.809372e-03   2.219197e+00   3.000000e+00
8.890966e-03   2.370975e+00   3.000000e+00
8.973316e-03   2.532568e+00   3.000000e+00
9.056428e-03   2.704574e+00   3.000000e+00
9.140311e-03   2.887623e+00   3.000000e+00
9.224970e-03   3.082380e+00   3.000000e+00
9.310413e-03   3.289548e+00   3.000000e+00
9.396648e-03   3.509869e+00   3.000000e+00
9.483682e-03   3.744128e+00   3.000000e+00
9.571522e-03   3.993150e+00   3.000000e+00
9.660175e-03   4.257809e+00   3.000000e+00
9.749649e-03   4.539024e+00   3.000000e+00
9.839952e-03   4.837767e+00   3.000000e+00
9.931092e-03   5.155062e+00   3.000000e+00
1.002308e-02   5.491986e+00   3.000000e+00
1.011591e-02   5.849678e+00   3.000000e+00
1.020961e-02   6.229336e+00   3.000000e+00
1.030417e-02   6.632222e+00   3.000000e+00
1.039961e-02   7.059667e+00   3.000000e+00
1.049593e-02   7.513070e+00   3.000000e+00
1.059315e-02   7.993907e+00   3.000000e+00
1.069126e-02   8.503727e+00   3.000000e+00
1.079029e-02   9.044165e+00   3.000000e+00
1.089023e-02   9.616939e+00   3.000000e+00
1.099110e-02   1.022386e+01   3.000000e+00
1.109290e-02   1.086682e+01   3.000000e+00
1.119564e-02   1.154782e+01   3.000000e+00
1.129934e-02   1.226896e+01   3.000000e+00
1.140400e-02   1.303246e+01   3.000000e+00
1.150962e-02   1.384063e+01   3.000000e+00
1.161623e-02   1.469590e+01   3.000000e+00
1.172382e-02   1.560084e+01   3.000000e+00
1.183241e-02   1.655814e+01   3.000000e+00
1.194200e-02   1.757061e+01   3.000000e+00
1.205261e-02   1.864122e+01   3.000000e+00
1.216424e-02   1.977308e+01   3.000000e+00
1.227691e-02   2.096945e+01   3.000000e+00
1.239062e-02   2.223375e+01   3.000000e+00
1.250539e-02   2.356957e+01   3.000000e+00
1.262121e-02   2.498066e+01   3.000000e+00
1.273811e-02   2.647099e+01   3.000000e+00
1.285610e-02   2.804467e+01   3.000000e+00
1.297517e-02   2.970604e+01   3.000000e+00
1.309535e-02   3.145964e+01   3.000000e+00
1.321664e-02   3.331022e+01   3.000000e+00
1.333906e-02   3.526276e+01   3.000000e+00
1.346261e-02   3.732248e+01   3.000000e+00
1.358730e-02   3.949482e+01   3.000000e+00
1.371315e-02   4.178551e+01   3.000000e+00
1.384016e-02   4.420051e+01   3.000000e+00
1.396835e-02   4.674607e+01   3.000000e+00
1.409773e-02   4.942875e+01   3.000000e+00
1.422830e-02   5.225537e+01   3.000000e+00
1.436009e-02   5.523309e+01   3.000000e+00
1.449310e-02   5.836937e+01   3.000000e+00
1.462733e-02   6.167204e+01   3.000000e+00
1.476281e-02   6.514925e+01   3.000000e+00
1.489955e-02   6.880954e+01   3.000000e+00
1.503755e-02   7.266180e+01   3.000000e+00
1.517683e-02   7.671534e+01   3.000000e+00
1.531740e-02   8.097987e+01   3.000000e+00
1.545928e-02   8.546554e+01   3.000000e+00
1.560246e-02   9.018291e+01   3.000000e+00
1.574698e-02   9.514304e+01   3.000000e+00
1.589283e-02   1.003574e+02   3.000000e+00
1.604003e-02   1.058381e+02   3.000000e+00
1.618860e-02   1.115976e+02   3.000000e+00
1.633854e-02   1.176490e+02   3.000000e+00
1.648987e-02   1.240059e+02   3.000000e+00
1.664260e-02   1.306825e+02   3.000000e+00
1.679675e-02   1.376936e+02   3.000000e+00
1.695232e-02   1.450546e+02   3.000000e+00
1.710934e-02   1.527816e+02   3.000000e+00
1.726781e-02   1.608912e+02   3.000000e+00
1.742775e-02   1.694009e+02   3.000000e+00
1.758917e-02   1.783289e+02   3.000000e+00
1.775208e-02   1.876939e+02   3.000000e+00
1.791650e-02   1.975157e+02   3.000000e+00
1.808245e-02   2.078146e+02   3.000000e+00
1.824993e-02   2.186120e+02   3.000000e+00
1.841897e-02   2.299298e+02   3.000000e+00
1.858957e-02   2.417911e+02   3.000000e+00
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7.175561e+00   2.002056e+08   3.000000e+00
7.242022e+00   2.037758e+08   3.000000e+00
7.309099e+00   2.074068e+08   3.000000e+00
7.376798e+00   2.110997e+08   3.000000e+00
7.445123e+00   2.148553e+08   3.000000e+00
7.514081e+00   2.186746e+08   3.000000e+00
7.583678e+00   2.225585e+08   3.000000e+00
7.653919e+00   2.265080e+08   3.000000e+00
7.724811e+00   2.305240e+08   3.000000e+00
7.796360e+00   2.346076e+08   3.000000e+00
7.868572e+00   2.387597e+08   3.000000e+00
7.941452e+00   2.429814e+08   3.000000e+00
8.015007e+00   2.472737e+08   3.000000e+00
8.089243e+00   2.516377e+08   3.000000e+00
8.164168e+00   2.560743e+08   3.000000e+00
8.239786e+00   2.605847e+08   3.000000e+00
8.316104e+00   2.651699e+08   3.000000e+00
8.393129e+00   2.698311e+08   3.000000e+00
8.470868e+00   2.745693e+08   3.000000e+00
8.549327e+00   2.793856e+08   3.000000e+00
8.628513e+00   2.842813e+08   3.000000e+00
8.708431e+00   2.892574e+08   3.000000e+00
8.789091e+00   2.943151e+08   3.000000e+00
8.870497e+00   2.994556e+08   3.000000e+00
8.952657e+00   3.046801e+08   3.000000e+00
9.035578e+00   3.099898e+08   3.000000e+00
9.119268e+00   3.153859e+08   3.000000e+00
9.203732e+00   3.208697e+08   3.000000e+00
9.288979e+00   3.264424e+08   3.000000e+00
9.375015e+00   3.321053e+08   3.000000e+00
9.461848e+00   3.378597e+08   3.000000e+00
9.549486e+00   3.437068e+08   3.000000e+00
9.637935e+00   3.496481e+08   3.000000e+00
9.727203e+00   3.556847e+08   3.000000e+00
9.817298e+00   3.618182e+08   3.000000e+00
9.908228e+00   3.680498e+08   3.000000e+00
1.000000e+01   3.743809e+08   3.000000e+00
