Sound-speed averaging kernels A(r,r0), localized at r0, as a function of the fractional radius, r/R. r/R r0/R=0.5625 0.6250 0.6875 0.7500 0.8125 0.8750 0.9375 0.0017331 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.0024510 4.388e-05 3.447e-05 2.499e-05 2.371e-05 1.506e-05 1.575e-05 1.497e-05 0.0034662 8.788e-05 6.899e-05 4.994e-05 4.754e-05 3.016e-05 3.157e-05 3.010e-05 0.0044745 1.464e-04 1.149e-04 8.310e-05 7.923e-05 5.025e-05 5.259e-05 5.022e-05 0.0057761 2.436e-04 1.910e-04 1.381e-04 1.318e-04 8.357e-05 8.740e-05 8.358e-05 0.0068349 3.403e-04 2.666e-04 1.928e-04 1.840e-04 1.167e-04 1.220e-04 1.167e-04 0.0080877 4.748e-04 3.716e-04 2.688e-04 2.564e-04 1.628e-04 1.699e-04 1.626e-04 0.0091733 6.086e-04 4.758e-04 3.443e-04 3.283e-04 2.085e-04 2.173e-04 2.081e-04 0.0104047 7.792e-04 6.084e-04 4.405e-04 4.196e-04 2.667e-04 2.774e-04 2.658e-04 0.0115106 9.489e-04 7.400e-04 5.361e-04 5.101e-04 3.246e-04 3.369e-04 3.229e-04 0.0127341 1.154e-03 8.987e-04 6.516e-04 6.192e-04 3.944e-04 4.085e-04 3.915e-04 0.0138554 1.358e-03 1.056e-03 7.660e-04 7.270e-04 4.636e-04 4.789e-04 4.591e-04 0.0150754 1.596e-03 1.239e-03 8.995e-04 8.522e-04 5.441e-04 5.605e-04 5.375e-04 0.0162095 1.831e-03 1.419e-03 1.031e-03 9.754e-04 6.236e-04 6.406e-04 6.143e-04 0.0174288 2.098e-03 1.623e-03 1.181e-03 1.115e-03 7.138e-04 7.307e-04 7.008e-04 0.0185748 2.363e-03 1.823e-03 1.329e-03 1.251e-03 8.026e-04 8.189e-04 7.854e-04 0.0197962 2.657e-03 2.046e-03 1.493e-03 1.402e-03 9.012e-04 9.160e-04 8.786e-04 0.0209540 2.947e-03 2.264e-03 1.654e-03 1.550e-03 9.982e-04 1.011e-03 9.693e-04 0.0221796 3.265e-03 2.502e-03 1.831e-03 1.711e-03 1.104e-03 1.113e-03 1.067e-03 0.0233492 3.578e-03 2.735e-03 2.004e-03 1.868e-03 1.208e-03 1.212e-03 1.163e-03 0.0245804 3.916e-03 2.985e-03 2.191e-03 2.036e-03 1.319e-03 1.318e-03 1.264e-03 0.0257622 4.248e-03 3.229e-03 2.373e-03 2.199e-03 1.428e-03 1.419e-03 1.362e-03 0.0270008 4.602e-03 3.488e-03 2.568e-03 2.371e-03 1.544e-03 1.526e-03 1.464e-03 0.0281956 4.949e-03 3.740e-03 2.758e-03 2.537e-03 1.657e-03 1.629e-03 1.563e-03 0.0294433 5.315e-03 4.003e-03 2.958e-03 2.711e-03 1.775e-03 1.735e-03 1.665e-03 0.0306521 5.672e-03 4.259e-03 3.153e-03 2.878e-03 1.890e-03 1.837e-03 1.762e-03 0.0319105 6.046e-03 4.524e-03 3.355e-03 3.050e-03 2.010e-03 1.941e-03 1.862e-03 0.0331341 6.410e-03 4.780e-03 3.552e-03 3.215e-03 2.126e-03 2.039e-03 1.956e-03 0.0344045 6.787e-03 5.043e-03 3.755e-03 3.383e-03 2.245e-03 2.138e-03 2.052e-03 0.0356438 7.153e-03 5.296e-03 3.951e-03 3.544e-03 2.360e-03 2.232e-03 2.141e-03 0.0369277 7.528e-03 5.552e-03 4.151e-03 3.705e-03 2.476e-03 2.325e-03 2.231e-03 0.0381837 7.891e-03 5.798e-03 4.344e-03 3.857e-03 2.588e-03 2.412e-03 2.314e-03 0.0394824 8.260e-03 6.045e-03 4.539e-03 4.009e-03 2.701e-03 2.497e-03 2.396e-03 0.0407563 8.615e-03 6.280e-03 4.725e-03 4.151e-03 2.809e-03 2.576e-03 2.471e-03 0.0420712 8.974e-03 6.515e-03 4.912e-03 4.290e-03 2.916e-03 2.651e-03 2.544e-03 0.0433641 9.316e-03 6.736e-03 5.090e-03 4.419e-03 3.018e-03 2.720e-03 2.610e-03 0.0446967 9.659e-03 6.955e-03 5.265e-03 4.544e-03 3.118e-03 2.786e-03 2.672e-03 0.0460099 9.984e-03 7.160e-03 5.432e-03 4.659e-03 3.212e-03 2.844e-03 2.728e-03 0.0473617 1.031e-02 7.359e-03 5.594e-03 4.767e-03 3.304e-03 2.897e-03 2.779e-03 0.0486965 1.061e-02 7.545e-03 5.747e-03 4.864e-03 3.390e-03 2.944e-03 2.824e-03 0.0500689 1.091e-02 7.724e-03 5.894e-03 4.954e-03 3.472e-03 2.985e-03 2.863e-03 0.0514266 1.118e-02 7.887e-03 6.029e-03 5.032e-03 3.547e-03 3.020e-03 2.896e-03 0.0528211 1.145e-02 8.043e-03 6.159e-03 5.102e-03 3.618e-03 3.049e-03 2.924e-03 0.0542029 1.170e-02 8.184e-03 6.276e-03 5.162e-03 3.682e-03 3.071e-03 2.945e-03 0.0556209 1.193e-02 8.316e-03 6.386e-03 5.212e-03 3.741e-03 3.088e-03 2.960e-03 0.0570284 1.215e-02 8.433e-03 6.484e-03 5.250e-03 3.793e-03 3.098e-03 2.970e-03 0.0584716 1.235e-02 8.539e-03 6.572e-03 5.279e-03 3.840e-03 3.103e-03 2.974e-03 0.0599066 1.252e-02 8.631e-03 6.648e-03 5.298e-03 3.879e-03 3.102e-03 2.973e-03 0.0613768 1.268e-02 8.713e-03 6.715e-03 5.307e-03 3.913e-03 3.096e-03 2.966e-03 0.0628413 1.282e-02 8.782e-03 6.770e-03 5.306e-03 3.940e-03 3.085e-03 2.955e-03 0.0643406 1.294e-02 8.839e-03 6.813e-03 5.295e-03 3.961e-03 3.070e-03 2.939e-03 0.0658365 1.304e-02 8.883e-03 6.845e-03 5.276e-03 3.975e-03 3.050e-03 2.920e-03 0.0673671 1.312e-02 8.917e-03 6.866e-03 5.247e-03 3.983e-03 3.027e-03 2.896e-03 0.0688961 1.317e-02 8.940e-03 6.876e-03 5.211e-03 3.984e-03 3.001e-03 2.870e-03 0.0704598 1.321e-02 8.953e-03 6.874e-03 5.167e-03 3.980e-03 2.971e-03 2.840e-03 0.0720239 1.323e-02 8.957e-03 6.863e-03 5.117e-03 3.971e-03 2.941e-03 2.809e-03 0.0736227 1.322e-02 8.952e-03 6.841e-03 5.061e-03 3.956e-03 2.908e-03 2.776e-03 0.0752240 1.320e-02 8.938e-03 6.809e-03 5.000e-03 3.936e-03 2.875e-03 2.743e-03 0.0768601 1.316e-02 8.918e-03 6.768e-03 4.934e-03 3.911e-03 2.842e-03 2.708e-03 0.0785009 1.311e-02 8.892e-03 6.719e-03 4.866e-03 3.882e-03 2.809e-03 2.674e-03 0.0801768 1.303e-02 8.860e-03 6.662e-03 4.796e-03 3.849e-03 2.777e-03 2.641e-03 0.0818599 1.294e-02 8.824e-03 6.599e-03 4.725e-03 3.814e-03 2.748e-03 2.609e-03 0.0835784 1.284e-02 8.785e-03 6.529e-03 4.654e-03 3.775e-03 2.720e-03 2.578e-03 0.0853063 1.273e-02 8.744e-03 6.455e-03 4.585e-03 3.735e-03 2.695e-03 2.551e-03 0.0870699 1.261e-02 8.702e-03 6.378e-03 4.517e-03 3.694e-03 2.674e-03 2.526e-03 0.0888467 1.248e-02 8.660e-03 6.298e-03 4.454e-03 3.652e-03 2.658e-03 2.505e-03 0.0906598 1.235e-02 8.619e-03 6.217e-03 4.396e-03 3.610e-03 2.645e-03 2.488e-03 0.0924970 1.221e-02 8.581e-03 6.137e-03 4.344e-03 3.569e-03 2.637e-03 2.475e-03 0.0943713 1.207e-02 8.545e-03 6.057e-03 4.299e-03 3.530e-03 2.634e-03 2.466e-03 0.0962731 1.194e-02 8.513e-03 5.982e-03 4.263e-03 3.493e-03 2.637e-03 2.462e-03 0.0982133 1.181e-02 8.487e-03 5.912e-03 4.236e-03 3.458e-03 2.645e-03 2.463e-03 0.1001750 1.169e-02 8.467e-03 5.849e-03 4.219e-03 3.429e-03 2.658e-03 2.469e-03 0.1021760 1.159e-02 8.453e-03 5.794e-03 4.215e-03 3.404e-03 2.677e-03 2.481e-03 0.1041979 1.150e-02 8.447e-03 5.750e-03 4.222e-03 3.384e-03 2.701e-03 2.497e-03 0.1062597 1.143e-02 8.448e-03 5.717e-03 4.241e-03 3.371e-03 2.729e-03 2.517e-03 0.1083435 1.139e-02 8.457e-03 5.698e-03 4.272e-03 3.364e-03 2.762e-03 2.542e-03 0.1104682 1.137e-02 8.475e-03 5.693e-03 4.317e-03 3.364e-03 2.798e-03 2.570e-03 0.1126147 1.138e-02 8.501e-03 5.705e-03 4.373e-03 3.373e-03 2.836e-03 2.601e-03 0.1148029 1.142e-02 8.536e-03 5.733e-03 4.441e-03 3.388e-03 2.877e-03 2.636e-03 0.1170123 1.150e-02 8.579e-03 5.778e-03 4.520e-03 3.412e-03 2.918e-03 2.672e-03 0.1192643 1.161e-02 8.630e-03 5.843e-03 4.610e-03 3.444e-03 2.960e-03 2.709e-03 0.1215363 1.175e-02 8.689e-03 5.924e-03 4.708e-03 3.483e-03 3.001e-03 2.747e-03 0.1238516 1.193e-02 8.754e-03 6.022e-03 4.814e-03 3.530e-03 3.040e-03 2.785e-03 0.1261850 1.215e-02 8.826e-03 6.137e-03 4.925e-03 3.583e-03 3.076e-03 2.821e-03 0.1285624 1.241e-02 8.907e-03 6.269e-03 5.040e-03 3.643e-03 3.109e-03 2.857e-03 0.1309555 1.269e-02 8.994e-03 6.413e-03 5.157e-03 3.707e-03 3.138e-03 2.890e-03 0.1333932 1.301e-02 9.088e-03 6.571e-03 5.274e-03 3.776e-03 3.162e-03 2.920e-03 0.1358443 1.335e-02 9.188e-03 6.736e-03 5.388e-03 3.847e-03 3.182e-03 2.947e-03 0.1383404 1.371e-02 9.295e-03 6.908e-03 5.498e-03 3.921e-03 3.196e-03 2.971e-03 0.1408416 1.409e-02 9.409e-03 7.081e-03 5.598e-03 3.994e-03 3.205e-03 2.992e-03 0.1433880 1.447e-02 9.530e-03 7.256e-03 5.693e-03 4.066e-03 3.210e-03 3.010e-03 0.1459294 1.485e-02 9.658e-03 7.424e-03 5.777e-03 4.134e-03 3.212e-03 3.023e-03 0.1485159 1.523e-02 9.795e-03 7.586e-03 5.850e-03 4.200e-03 3.210e-03 3.033e-03 0.1510996 1.560e-02 9.939e-03 7.735e-03 5.910e-03 4.260e-03 3.206e-03 3.041e-03 0.1537282 1.595e-02 1.009e-02 7.871e-03 5.957e-03 4.314e-03 3.201e-03 3.046e-03 0.1563557 1.628e-02 1.026e-02 7.989e-03 5.991e-03 4.361e-03 3.196e-03 3.049e-03 0.1590281 1.657e-02 1.043e-02 8.089e-03 6.011e-03 4.399e-03 3.192e-03 3.050e-03 0.1616960 1.683e-02 1.061e-02 8.168e-03 6.018e-03 4.430e-03 3.192e-03 3.050e-03 0.1644086 1.705e-02 1.080e-02 8.225e-03 6.014e-03 4.452e-03 3.195e-03 3.049e-03 0.1671135 1.723e-02 1.100e-02 8.264e-03 6.001e-03 4.468e-03 3.203e-03 3.049e-03 0.1698629 1.738e-02 1.121e-02 8.283e-03 5.980e-03 4.475e-03 3.217e-03 3.050e-03 0.1726002 1.749e-02 1.142e-02 8.284e-03 5.957e-03 4.481e-03 3.242e-03 3.062e-03 0.1753817 1.757e-02 1.164e-02 8.271e-03 5.928e-03 4.478e-03 3.270e-03 3.067e-03 0.1781457 1.762e-02 1.186e-02 8.251e-03 5.900e-03 4.472e-03 3.306e-03 3.077e-03 0.1809533 1.766e-02 1.207e-02 8.224e-03 5.876e-03 4.465e-03 3.349e-03 3.091e-03 0.1837391 1.769e-02 1.227e-02 8.199e-03 5.859e-03 4.459e-03 3.397e-03 3.109e-03 0.1865678 1.772e-02 1.247e-02 8.180e-03 5.853e-03 4.456e-03 3.452e-03 3.133e-03 0.1893711 1.777e-02 1.265e-02 8.171e-03 5.860e-03 4.460e-03 3.511e-03 3.160e-03 0.1922166 1.785e-02 1.282e-02 8.182e-03 5.885e-03 4.471e-03 3.574e-03 3.194e-03 0.1950343 1.797e-02 1.296e-02 8.220e-03 5.926e-03 4.488e-03 3.636e-03 3.231e-03 0.1978934 1.815e-02 1.310e-02 8.283e-03 5.990e-03 4.517e-03 3.700e-03 3.274e-03 0.2007226 1.838e-02 1.321e-02 8.373e-03 6.074e-03 4.560e-03 3.762e-03 3.320e-03 0.2035924 1.868e-02 1.330e-02 8.493e-03 6.181e-03 4.617e-03 3.820e-03 3.369e-03 0.2064303 1.904e-02 1.337e-02 8.641e-03 6.306e-03 4.685e-03 3.874e-03 3.420e-03 0.2093077 1.948e-02 1.344e-02 8.820e-03 6.451e-03 4.764e-03 3.920e-03 3.471e-03 0.2121517 1.999e-02 1.349e-02 9.024e-03 6.609e-03 4.854e-03 3.958e-03 3.520e-03 0.2150342 2.055e-02 1.354e-02 9.254e-03 6.780e-03 4.954e-03 3.988e-03 3.569e-03 0.2178816 2.116e-02 1.360e-02 9.495e-03 6.957e-03 5.058e-03 4.010e-03 3.612e-03 0.2207667 2.181e-02 1.367e-02 9.753e-03 7.150e-03 5.172e-03 4.030e-03 3.661e-03 0.2236154 2.247e-02 1.375e-02 1.000e-02 7.327e-03 5.280e-03 4.036e-03 3.694e-03 0.2265008 2.314e-02 1.387e-02 1.025e-02 7.496e-03 5.387e-03 4.037e-03 3.720e-03 0.2293486 2.378e-02 1.402e-02 1.048e-02 7.649e-03 5.486e-03 4.034e-03 3.739e-03 0.2322323 2.440e-02 1.421e-02 1.070e-02 7.787e-03 5.578e-03 4.029e-03 3.753e-03 0.2350774 2.495e-02 1.445e-02 1.089e-02 7.903e-03 5.655e-03 4.023e-03 3.760e-03 0.2379574 2.544e-02 1.474e-02 1.106e-02 7.997e-03 5.721e-03 4.024e-03 3.765e-03 0.2407980 2.586e-02 1.507e-02 1.119e-02 8.065e-03 5.772e-03 4.028e-03 3.767e-03 0.2436725 2.619e-02 1.546e-02 1.128e-02 8.108e-03 5.811e-03 4.043e-03 3.766e-03 0.2465071 2.646e-02 1.588e-02 1.136e-02 8.129e-03 5.837e-03 4.067e-03 3.768e-03 0.2493747 2.666e-02 1.634e-02 1.140e-02 8.133e-03 5.850e-03 4.104e-03 3.775e-03 0.2522017 2.680e-02 1.682e-02 1.144e-02 8.122e-03 5.852e-03 4.152e-03 3.787e-03 0.2550608 2.692e-02 1.732e-02 1.145e-02 8.106e-03 5.847e-03 4.214e-03 3.808e-03 0.2578789 2.704e-02 1.781e-02 1.147e-02 8.091e-03 5.843e-03 4.287e-03 3.840e-03 0.2607282 2.720e-02 1.829e-02 1.150e-02 8.086e-03 5.841e-03 4.372e-03 3.881e-03 0.2635361 2.740e-02 1.873e-02 1.153e-02 8.094e-03 5.846e-03 4.462e-03 3.930e-03 0.2663743 2.770e-02 1.914e-02 1.160e-02 8.128e-03 5.860e-03 4.559e-03 3.989e-03 0.2691710 2.812e-02 1.949e-02 1.169e-02 8.188e-03 5.889e-03 4.656e-03 4.055e-03 0.2719971 2.869e-02 1.979e-02 1.182e-02 8.283e-03 5.931e-03 4.752e-03 4.124e-03 0.2747818 2.941e-02 2.003e-02 1.199e-02 8.414e-03 6.001e-03 4.849e-03 4.207e-03 0.2775951 3.031e-02 2.020e-02 1.220e-02 8.576e-03 6.086e-03 4.931e-03 4.280e-03 0.2803675 3.136e-02 2.032e-02 1.245e-02 8.765e-03 6.190e-03 4.997e-03 4.348e-03 0.2831676 3.256e-02 2.040e-02 1.275e-02 8.985e-03 6.311e-03 5.051e-03 4.411e-03 0.2859271 3.387e-02 2.045e-02 1.307e-02 9.221e-03 6.448e-03 5.092e-03 4.465e-03 0.2887135 3.528e-02 2.049e-02 1.342e-02 9.470e-03 6.599e-03 5.120e-03 4.510e-03 0.2914601 3.671e-02 2.055e-02 1.378e-02 9.718e-03 6.755e-03 5.136e-03 4.546e-03 0.2942328 3.814e-02 2.064e-02 1.416e-02 9.961e-03 6.915e-03 5.139e-03 4.569e-03 0.2969660 3.947e-02 2.079e-02 1.452e-02 1.018e-02 7.069e-03 5.132e-03 4.583e-03 0.2997247 4.070e-02 2.101e-02 1.488e-02 1.038e-02 7.217e-03 5.120e-03 4.588e-03 0.3024447 4.173e-02 2.133e-02 1.520e-02 1.055e-02 7.351e-03 5.112e-03 4.590e-03 0.3051893 4.256e-02 2.176e-02 1.551e-02 1.068e-02 7.471e-03 5.110e-03 4.590e-03 0.3078959 4.313e-02 2.230e-02 1.576e-02 1.078e-02 7.570e-03 5.117e-03 4.592e-03 0.3106264 4.346e-02 2.294e-02 1.599e-02 1.084e-02 7.649e-03 5.138e-03 4.602e-03 0.3133193 4.355e-02 2.369e-02 1.616e-02 1.088e-02 7.705e-03 5.174e-03 4.621e-03 0.3160356 4.343e-02 2.451e-02 1.630e-02 1.089e-02 7.740e-03 5.227e-03 4.651e-03 0.3187150 4.315e-02 2.539e-02 1.640e-02 1.089e-02 7.760e-03 5.299e-03 4.691e-03 0.3214172 4.280e-02 2.630e-02 1.648e-02 1.089e-02 7.767e-03 5.389e-03 4.744e-03 0.3240831 4.247e-02 2.721e-02 1.653e-02 1.090e-02 7.768e-03 5.494e-03 4.809e-03 0.3267711 4.225e-02 2.807e-02 1.657e-02 1.094e-02 7.763e-03 5.609e-03 4.885e-03 0.3294235 4.226e-02 2.886e-02 1.663e-02 1.100e-02 7.761e-03 5.730e-03 4.967e-03 0.3320975 4.261e-02 2.955e-02 1.670e-02 1.111e-02 7.765e-03 5.856e-03 5.056e-03 0.3347366 4.339e-02 3.011e-02 1.681e-02 1.126e-02 7.781e-03 5.976e-03 5.136e-03 0.3373967 4.469e-02 3.053e-02 1.696e-02 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