# a + a + a > C12 + g + g   [a_a_a__C12_g_g]   ref=NACRE, Angulo et al. 1999
# forward[T9] = With[{T932=T9^(3/2),T923=T9^(2/3),T913=T9^(1/3)}, With[{he4abe8=2.43*^9*(1.+74.5*T9)/T923*Exp[-13.49/T913-(T9/0.15)^2]+6.09*^5/T932*Exp[-1.054/T9], be8agc12= 2.76*^7*(1.+5.47*T9+326*T9^2)/T923*Exp[-23.570/T913-(T9/0.4)^2]+130.7/T932*Exp[-3.338/T9]+2.51*^4/T932*Exp[-20.307/T9]}, If[T9<0.03, he4abe8*be8agc12*3.07*^-16*(1.-29.1*T9+1308*T9^2), he4abe8*be8agc12*3.44*^-16*(1.+0.0158/T9^0.65)]]]   uncertainty factor f = 1.15
# T9                 rate                error
1.000000e-03   2.429810e-156   1.150000e+00
1.009262e-03   7.486789e-156   1.150000e+00
1.018610e-03   2.298822e-155   1.150000e+00
1.028045e-03   7.034057e-155   1.150000e+00
1.037567e-03   2.144875e-154   1.150000e+00
1.047177e-03   6.517762e-154   1.150000e+00
1.056876e-03   1.973785e-153   1.150000e+00
1.066665e-03   5.956766e-153   1.150000e+00
1.076545e-03   1.791577e-152   1.150000e+00
1.086516e-03   5.370056e-152   1.150000e+00
1.096579e-03   1.604152e-151   1.150000e+00
1.106736e-03   4.775731e-151   1.150000e+00
1.116987e-03   1.416989e-150   1.150000e+00
1.127333e-03   4.190155e-150   1.150000e+00
1.137774e-03   1.234909e-149   1.150000e+00
1.148312e-03   3.627318e-149   1.150000e+00
1.158948e-03   1.061907e-148   1.150000e+00
1.169683e-03   3.098435e-148   1.150000e+00
1.180517e-03   9.010677e-148   1.150000e+00
1.191451e-03   2.611777e-147   1.150000e+00
1.202486e-03   7.545411e-147   1.150000e+00
1.213624e-03   2.172712e-146   1.150000e+00
1.224865e-03   6.235891e-146   1.150000e+00
1.236210e-03   1.783923e-145   1.150000e+00
1.247660e-03   5.086738e-145   1.150000e+00
1.259216e-03   1.445748e-144   1.150000e+00
1.270879e-03   4.095817e-144   1.150000e+00
1.282650e-03   1.156610e-143   1.150000e+00
1.294530e-03   3.255642e-143   1.150000e+00
1.306520e-03   9.134685e-143   1.150000e+00
1.318621e-03   2.554831e-142   1.150000e+00
1.330835e-03   7.122736e-142   1.150000e+00
1.343161e-03   1.979482e-141   1.150000e+00
1.355602e-03   5.483792e-141   1.150000e+00
1.368158e-03   1.514395e-140   1.150000e+00
1.380830e-03   4.168983e-140   1.150000e+00
1.393619e-03   1.144085e-139   1.150000e+00
1.406527e-03   3.129883e-139   1.150000e+00
1.419555e-03   8.535782e-139   1.150000e+00
1.432703e-03   2.320643e-138   1.150000e+00
1.445973e-03   6.289663e-138   1.150000e+00
1.459366e-03   1.699435e-137   1.150000e+00
1.472883e-03   4.577663e-137   1.150000e+00
1.486525e-03   1.229276e-136   1.150000e+00
1.500293e-03   3.290984e-136   1.150000e+00
1.514189e-03   8.783683e-136   1.150000e+00
1.528214e-03   2.337256e-135   1.150000e+00
1.542369e-03   6.200383e-135   1.150000e+00
1.556654e-03   1.639901e-134   1.150000e+00
1.571072e-03   4.324221e-134   1.150000e+00
1.585624e-03   1.136823e-133   1.150000e+00
1.600310e-03   2.979731e-133   1.150000e+00
1.615133e-03   7.786891e-133   1.150000e+00
1.630092e-03   2.028889e-132   1.150000e+00
1.645191e-03   5.270641e-132   1.150000e+00
1.660429e-03   1.365160e-131   1.150000e+00
1.675808e-03   3.525516e-131   1.150000e+00
1.691330e-03   9.077887e-131   1.150000e+00
1.706995e-03   2.330632e-130   1.150000e+00
1.722805e-03   5.966142e-130   1.150000e+00
1.738762e-03   1.522819e-129   1.150000e+00
1.754867e-03   3.875622e-129   1.150000e+00
1.771121e-03   9.835065e-129   1.150000e+00
1.787526e-03   2.488625e-128   1.150000e+00
1.804082e-03   6.279024e-128   1.150000e+00
1.820792e-03   1.579716e-127   1.150000e+00
1.837656e-03   3.962999e-127   1.150000e+00
1.854677e-03   9.913585e-127   1.150000e+00
1.871855e-03   2.472882e-126   1.150000e+00
1.889193e-03   6.150996e-126   1.150000e+00
1.906691e-03   1.525671e-125   1.150000e+00
1.924351e-03   3.773581e-125   1.150000e+00
1.942175e-03   9.307377e-125   1.150000e+00
1.960163e-03   2.289210e-124   1.150000e+00
1.978319e-03   5.614778e-124   1.150000e+00
1.996642e-03   1.373320e-123   1.150000e+00
2.015136e-03   3.349708e-123   1.150000e+00
2.033800e-03   8.147827e-123   1.150000e+00
2.052638e-03   1.976424e-122   1.150000e+00
2.071650e-03   4.781076e-122   1.150000e+00
2.090838e-03   1.153405e-121   1.150000e+00
2.110203e-03   2.774935e-121   1.150000e+00
2.129749e-03   6.657972e-121   1.150000e+00
2.149475e-03   1.593136e-120   1.150000e+00
2.169384e-03   3.801802e-120   1.150000e+00
2.189477e-03   9.048055e-120   1.150000e+00
2.209756e-03   2.147602e-119   1.150000e+00
2.230223e-03   5.083803e-119   1.150000e+00
2.250880e-03   1.200228e-118   1.150000e+00
2.271728e-03   2.826067e-118   1.150000e+00
2.292769e-03   6.636641e-118   1.150000e+00
2.314005e-03   1.554408e-117   1.150000e+00
2.335438e-03   3.631083e-117   1.150000e+00
2.357069e-03   8.459899e-117   1.150000e+00
2.378901e-03   1.965874e-116   1.150000e+00
2.400935e-03   4.556289e-116   1.150000e+00
2.423173e-03   1.053260e-115   1.150000e+00
2.445617e-03   2.428464e-115   1.150000e+00
2.468268e-03   5.584745e-115   1.150000e+00
2.491130e-03   1.281015e-114   1.150000e+00
2.514203e-03   2.930810e-114   1.150000e+00
2.537490e-03   6.688166e-114   1.150000e+00
2.560993e-03   1.522355e-113   1.150000e+00
2.584714e-03   3.456351e-113   1.150000e+00
2.608654e-03   7.827375e-113   1.150000e+00
2.632815e-03   1.768130e-112   1.150000e+00
2.657201e-03   3.983966e-112   1.150000e+00
2.681813e-03   8.954134e-112   1.150000e+00
2.706652e-03   2.007436e-111   1.150000e+00
2.731722e-03   4.489245e-111   1.150000e+00
2.757023e-03   1.001433e-110   1.150000e+00
2.782559e-03   2.228386e-110   1.150000e+00
2.808332e-03   4.946325e-110   1.150000e+00
2.834343e-03   1.095221e-109   1.150000e+00
2.860596e-03   2.419086e-109   1.150000e+00
2.887091e-03   5.330089e-109   1.150000e+00
2.913832e-03   1.171533e-108   1.150000e+00
2.940820e-03   2.568709e-108   1.150000e+00
2.968059e-03   5.618480e-108   1.150000e+00
2.995549e-03   1.225941e-107   1.150000e+00
3.023295e-03   2.668521e-107   1.150000e+00
3.051297e-03   5.794622e-107   1.150000e+00
3.079559e-03   1.255267e-106   1.150000e+00
3.108082e-03   2.712735e-106   1.150000e+00
3.136870e-03   5.848463e-106   1.150000e+00
3.165924e-03   1.257890e-105   1.150000e+00
3.195248e-03   2.699063e-105   1.150000e+00
3.224842e-03   5.777720e-105   1.150000e+00
3.254712e-03   1.233889e-104   1.150000e+00
3.284857e-03   2.628906e-104   1.150000e+00
3.315282e-03   5.588001e-104   1.150000e+00
3.345989e-03   1.185015e-103   1.150000e+00
3.376980e-03   2.507147e-103   1.150000e+00
3.408259e-03   5.292099e-103   1.150000e+00
3.439826e-03   1.114478e-102   1.150000e+00
3.471687e-03   2.341602e-102   1.150000e+00
3.503842e-03   4.908586e-102   1.150000e+00
3.536296e-03   1.026607e-101   1.150000e+00
3.569049e-03   2.142201e-101   1.150000e+00
3.602107e-03   4.459917e-101   1.150000e+00
3.635470e-03   9.264189e-101   1.150000e+00
3.669142e-03   1.920017e-100   1.150000e+00
3.703127e-03   3.970298e-100   1.150000e+00
3.737426e-03   8.191518e-100   1.150000e+00
3.772042e-03   1.686289e-99   1.150000e+00
3.806980e-03   3.463610e-99   1.150000e+00
3.842241e-03   7.098367e-99   1.150000e+00
3.877828e-03   1.451521e-98   1.150000e+00
3.913746e-03   2.961604e-98   1.150000e+00
3.949995e-03   6.029373e-98   1.150000e+00
3.986581e-03   1.224791e-97   1.150000e+00
4.023506e-03   2.482557e-97   1.150000e+00
4.060772e-03   5.020967e-97   1.150000e+00
4.098384e-03   1.013279e-96   1.150000e+00
4.136344e-03   2.040457e-96   1.150000e+00
4.174655e-03   4.100014e-96   1.150000e+00
4.213322e-03   8.220644e-96   1.150000e+00
4.252346e-03   1.644720e-95   1.150000e+00
4.291732e-03   3.283572e-95   1.150000e+00
4.331483e-03   6.541428e-95   1.150000e+00
4.371602e-03   1.300388e-94   1.150000e+00
4.412093e-03   2.579592e-94   1.150000e+00
4.452959e-03   5.106333e-94   1.150000e+00
4.494203e-03   1.008673e-93   1.150000e+00
4.535829e-03   1.988282e-93   1.150000e+00
4.577841e-03   3.911060e-93   1.150000e+00
4.620241e-03   7.677200e-93   1.150000e+00
4.663035e-03   1.503856e-92   1.150000e+00
4.706225e-03   2.939728e-92   1.150000e+00
4.749815e-03   5.734673e-92   1.150000e+00
4.793808e-03   1.116384e-91   1.150000e+00
4.838210e-03   2.168828e-91   1.150000e+00
4.883022e-03   4.204802e-91   1.150000e+00
4.928250e-03   8.135385e-91   1.150000e+00
4.973896e-03   1.570817e-90   1.150000e+00
5.019965e-03   3.026849e-90   1.150000e+00
5.066461e-03   5.820716e-90   1.150000e+00
5.113388e-03   1.117083e-89   1.150000e+00
5.160749e-03   2.139541e-89   1.150000e+00
5.208549e-03   4.089638e-89   1.150000e+00
5.256791e-03   7.801551e-89   1.150000e+00
5.305481e-03   1.485291e-88   1.150000e+00
5.354621e-03   2.822147e-88   1.150000e+00
5.404216e-03   5.351651e-88   1.150000e+00
5.454271e-03   1.012835e-87   1.150000e+00
5.504790e-03   1.913091e-87   1.150000e+00
5.555776e-03   3.606460e-87   1.150000e+00
5.607235e-03   6.785435e-87   1.150000e+00
5.659170e-03   1.274173e-86   1.150000e+00
5.711586e-03   2.388007e-86   1.150000e+00
5.764488e-03   4.466861e-86   1.150000e+00
5.817880e-03   8.339337e-86   1.150000e+00
5.871766e-03   1.553909e-85   1.150000e+00
5.926152e-03   2.889930e-85   1.150000e+00
5.981041e-03   5.364379e-85   1.150000e+00
6.036439e-03   9.938589e-85   1.150000e+00
6.092349e-03   1.837832e-84   1.150000e+00
6.148778e-03   3.392075e-84   1.150000e+00
6.205729e-03   6.248940e-84   1.150000e+00
6.263207e-03   1.149029e-83   1.150000e+00
6.321218e-03   2.108835e-83   1.150000e+00
6.379767e-03   3.863166e-83   1.150000e+00
6.438857e-03   7.063762e-83   1.150000e+00
6.498495e-03   1.289209e-82   1.150000e+00
6.558686e-03   2.348595e-82   1.150000e+00
6.619433e-03   4.270640e-82   1.150000e+00
6.680744e-03   7.751403e-82   1.150000e+00
6.742622e-03   1.404342e-81   1.150000e+00
6.805074e-03   2.539649e-81   1.150000e+00
6.868104e-03   4.584426e-81   1.150000e+00
6.931717e-03   8.260560e-81   1.150000e+00
6.995920e-03   1.485764e-80   1.150000e+00
7.060718e-03   2.667527e-80   1.150000e+00
7.126115e-03   4.780673e-80   1.150000e+00
7.192119e-03   8.552498e-80   1.150000e+00
7.258734e-03   1.527296e-79   1.150000e+00
7.325965e-03   2.722593e-79   1.150000e+00
7.393820e-03   4.844777e-79   1.150000e+00
7.462303e-03   8.605956e-79   1.150000e+00
7.531420e-03   1.526024e-78   1.150000e+00
7.601178e-03   2.701239e-78   1.150000e+00
7.671581e-03   4.773170e-78   1.150000e+00
7.742637e-03   8.419677e-78   1.150000e+00
7.814351e-03   1.482625e-77   1.150000e+00
7.886729e-03   2.606255e-77   1.150000e+00
7.959777e-03   4.573568e-77   1.150000e+00
8.033502e-03   8.012139e-77   1.150000e+00
8.107910e-03   1.401198e-76   1.150000e+00
8.183007e-03   2.446305e-76   1.150000e+00
8.258799e-03   4.263681e-76   1.150000e+00
8.335294e-03   7.418639e-76   1.150000e+00
8.412497e-03   1.288640e-75   1.150000e+00
8.490415e-03   2.234651e-75   1.150000e+00
8.569055e-03   3.868664e-75   1.150000e+00
8.648423e-03   6.686333e-75   1.150000e+00
8.728527e-03   1.153701e-74   1.150000e+00
8.809372e-03   1.987373e-74   1.150000e+00
8.890966e-03   3.417819e-74   1.150000e+00
8.973316e-03   5.868197e-74   1.150000e+00
9.056428e-03   1.005886e-73   1.150000e+00
9.140311e-03   1.721410e-73   1.150000e+00
9.224970e-03   2.941125e-73   1.150000e+00
9.310413e-03   5.016939e-73   1.150000e+00
9.396648e-03   8.544036e-73   1.150000e+00
9.483682e-03   1.452743e-72   1.150000e+00
9.571522e-03   2.466144e-72   1.150000e+00
9.660175e-03   4.179791e-72   1.150000e+00
9.749649e-03   7.072939e-72   1.150000e+00
9.839952e-03   1.194970e-71   1.150000e+00
9.931092e-03   2.015710e-71   1.150000e+00
1.002308e-02   3.394815e-71   1.150000e+00
1.011591e-02   5.708519e-71   1.150000e+00
1.020961e-02   9.584132e-71   1.150000e+00
1.030417e-02   1.606596e-70   1.150000e+00
1.039961e-02   2.688979e-70   1.150000e+00
1.049593e-02   4.493635e-70   1.150000e+00
1.059315e-02   7.497914e-70   1.150000e+00
1.069126e-02   1.249159e-69   1.150000e+00
1.079029e-02   2.077938e-69   1.150000e+00
1.089023e-02   3.451335e-69   1.150000e+00
1.099110e-02   5.723796e-69   1.150000e+00
1.109290e-02   9.478206e-69   1.150000e+00
1.119564e-02   1.567169e-68   1.150000e+00
1.129934e-02   2.587352e-68   1.150000e+00
1.140400e-02   4.265286e-68   1.150000e+00
1.150962e-02   7.020951e-68   1.150000e+00
1.161623e-02   1.153989e-67   1.150000e+00
1.172382e-02   1.893947e-67   1.150000e+00
1.183241e-02   3.103824e-67   1.150000e+00
1.194200e-02   5.079160e-67   1.150000e+00
1.205261e-02   8.299557e-67   1.150000e+00
1.216424e-02   1.354219e-66   1.150000e+00
1.227691e-02   2.206459e-66   1.150000e+00
1.239062e-02   3.589873e-66   1.150000e+00
1.250539e-02   5.832312e-66   1.150000e+00
1.262121e-02   9.462012e-66   1.150000e+00
1.273811e-02   1.532887e-65   1.150000e+00
1.285610e-02   2.479835e-65   1.150000e+00
1.297517e-02   4.006125e-65   1.150000e+00
1.309535e-02   6.462756e-65   1.150000e+00
1.321664e-02   1.041130e-64   1.150000e+00
1.333906e-02   1.674901e-64   1.150000e+00
1.346261e-02   2.690743e-64   1.150000e+00
1.358730e-02   4.316755e-64   1.150000e+00
1.371315e-02   6.915874e-64   1.150000e+00
1.384016e-02   1.106480e-63   1.150000e+00
1.396835e-02   1.767869e-63   1.150000e+00
1.409773e-02   2.820777e-63   1.150000e+00
1.422830e-02   4.494717e-63   1.150000e+00
1.436009e-02   7.152428e-63   1.150000e+00
1.449310e-02   1.136644e-62   1.150000e+00
1.462733e-02   1.803925e-62   1.150000e+00
1.476281e-02   2.859155e-62   1.150000e+00
1.489955e-02   4.525690e-62   1.150000e+00
1.503755e-02   7.154222e-62   1.150000e+00
1.517683e-02   1.129466e-61   1.150000e+00
1.531740e-02   1.780818e-61   1.150000e+00
1.545928e-02   2.804171e-61   1.150000e+00
1.560246e-02   4.409914e-61   1.150000e+00
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1.000000e+01   6.409957e-10   1.150000e+00
