[mesa-users] MESA opacities
Manos Chatzopoulos
manolis at flash.uchicago.edu
Tue Jun 9 15:52:39 EDT 2015
Dear MESA community,
I am trying to make external use of the MESA opacity data. My
understanding is that there are two main types
of data separated between the low-T regime (<~10^4 K) and the high-T
regime. For my purposes I want to
use solar metallicity (the z0.02 and the z2m2 tables under
mesa/data/kap_data I suppose?). I have two questions
on the data and how they are used in MESA:
1) Does "X" in the file names (like x00, x10...etc) represent the
Hydrogen abundance? Is that a mass fraction representative
of the shell or the overall abundance?
2) I look at three variants of solar metallicity (z0.02, z2m2) data with
X = 0.0000 attached (OP_gs98_z2m2_x00.data,
gs98_z2m2_x00.data and lowT_Freedman11_z0.02). I notice that there is
some overlap both in terms of logR = logRho - 3*logT + 18
and in terms of logT itself between the Freedman and the gs98 tables.
For the overlapped values I see significant differences
in the opacity. For example, for logR = -6 and logT = 4.25 the
lowT_Freedman table yields a value of -4.229 and the
gs98 table a value of -0.870 (-0.863 for the OP_gs98 table). What values
are correct in the over-lapping regime?
Thanks,
Manos
--
Dr. Emmanouil Chatzopoulos
Enrico Fermi Postdoctoral Fellow
Department of Astronomy & Astrophysics
FLASH Center for Computational Science
University of Chicago
https://www.linkedin.com/pub/manos-chatzopoulos/a1/688/a03
https://astro.uchicago.edu/people/manos-chatzopoulos.php
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fixed metal distribution -- based on Grevesse & Sauval (1998) solar abundances
form version X Z logRs logR_min logR_max logTs logT_min logT_max
1 37 0.000000 0.020000 37 -8.000000 1.000000 138 3.750000 8.700000
logT logR = logRho - 3*logT + 18
-8.000 -7.750 -7.500 -7.250 -7.000 -6.750 -6.500 -6.250 -6.000 -5.750 -5.500 -5.250 -5.000 -4.750 -4.500 -4.250 -4.000 -3.750 -3.500 -3.250 -3.000 -2.750 -2.500 -2.250 -2.000 -1.750 -1.500 -1.250 -1.000 -0.750 -0.500 -0.250 0.000 0.250 0.500 0.750 1.000
3.750 -1.095 -1.235 -1.841 -1.896 -1.971 -2.026 -2.088 -2.840 -2.861 -3.355 -3.395 -3.434 -3.472 -3.510 -3.547 -3.577 -3.603 -3.620 -3.629 -3.634 -3.634 -3.625 -3.607 -3.574 -3.529 -3.454 -3.355 -3.231 -3.083 -2.901 -2.689 -2.468 -2.232 -1.997 -1.758 -1.532 -1.312
3.775 -1.722 -1.300 -1.444 -1.534 -1.627 -2.137 -1.846 -3.066 -3.099 -4.551 -3.319 -3.337 -3.358 -3.384 -3.413 -3.441 -3.470 -3.498 -3.525 -3.539 -3.544 -3.527 -3.493 -3.442 -3.374 -3.284 -3.174 -3.055 -2.923 -2.775 -2.611 -2.407 -2.171 -1.943 -1.710 -1.450 -1.169
3.800 -1.095 -1.235 -1.841 -1.896 -1.971 -2.026 -2.088 -2.840 -2.861 -4.928 -3.264 -3.268 -3.277 -3.291 -3.311 -3.333 -3.359 -3.387 -3.417 -3.433 -3.439 -3.418 -3.377 -3.316 -3.234 -3.132 -3.011 -2.889 -2.761 -2.627 -2.487 -2.303 -2.087 -1.869 -1.640 -1.371 -1.071
3.825 -1.722 -1.300 -1.444 -1.534 -1.627 -2.137 -1.846 -3.066 -3.099 -3.716 -3.240 -3.236 -3.236 -3.239 -3.246 -3.257 -3.269 -3.284 -3.297 -3.310 -3.312 -3.296 -3.260 -3.200 -3.115 -3.001 -2.870 -2.734 -2.592 -2.448 -2.300 -2.152 -1.986 -1.778 -1.546 -1.295 -1.017
3.850 -1.095 -1.235 -1.841 -1.896 -1.971 -2.026 -2.088 -2.840 -2.861 -3.221 -3.217 -3.213 -3.210 -3.206 -3.203 -3.202 -3.201 -3.197 -3.192 -3.192 -3.188 -3.174 -3.142 -3.083 -2.998 -2.879 -2.739 -2.588 -2.429 -2.262 -2.103 -1.984 -1.853 -1.655 -1.435 -1.222 -1.007
3.875 -1.722 -1.300 -1.444 -1.534 -1.627 -2.137 -1.846 -3.066 -3.099 -3.119 -3.184 -3.191 -3.193 -3.189 -3.182 -3.174 -3.164 -3.152 -3.137 -3.118 -3.093 -3.061 -3.016 -2.949 -2.860 -2.744 -2.607 -2.456 -2.294 -2.123 -1.954 -1.806 -1.657 -1.495 -1.317 -1.117 -0.908
3.900 -1.095 -1.235 -1.841 -1.896 -1.971 -2.026 -2.088 -2.952 -3.009 -3.056 -3.093 -3.119 -3.135 -3.142 -3.141 -3.136 -3.126 -3.114 -3.094 -3.060 -3.015 -2.963 -2.899 -2.819 -2.723 -2.607 -2.474 -2.325 -2.163 -1.994 -1.818 -1.633 -1.456 -1.322 -1.181 -0.991 -0.765
3.925 -1.722 -1.300 -1.444 -1.534 -1.627 -2.137 -1.846 -2.646 -2.727 -2.804 -2.871 -2.929 -2.976 -3.014 -3.043 -3.061 -3.069 -3.067 -3.053 -3.019 -2.969 -2.900 -2.816 -2.716 -2.601 -2.471 -2.328 -2.174 -2.012 -1.844 -1.671 -1.486 -1.306 -1.159 -1.007 -0.834 -0.619
3.950 -1.095 -1.235 -1.841 -1.896 -1.971 -2.026 -2.088 -2.292 -2.390 -2.490 -2.584 -2.670 -2.748 -2.819 -2.880 -2.926 -2.957 -2.973 -2.971 -2.949 -2.905 -2.832 -2.736 -2.622 -2.492 -2.347 -2.192 -2.032 -1.868 -1.701 -1.531 -1.354 -1.176 -1.006 -0.834 -0.650 -0.457
3.975 -1.722 -1.300 -1.444 -1.534 -1.627 -2.137 -1.846 -1.902 -2.056 -2.161 -2.263 -2.359 -2.450 -2.536 -2.613 -2.681 -2.735 -2.775 -2.798 -2.804 -2.787 -2.736 -2.658 -2.553 -2.425 -2.275 -2.112 -1.943 -1.769 -1.594 -1.417 -1.238 -1.058 -0.882 -0.705 -0.515 -0.332
4.000 -1.095 -1.235 -1.201 -1.279 -1.357 -1.447 -1.541 -1.637 -1.734 -1.834 -1.933 -2.029 -2.122 -2.211 -2.296 -2.376 -2.448 -2.506 -2.551 -2.583 -2.593 -2.571 -2.518 -2.432 -2.318 -2.175 -2.014 -1.843 -1.664 -1.483 -1.300 -1.118 -0.938 -0.760 -0.582 -0.404 -0.225
4.025 -1.722 -1.300 -1.065 -1.063 -1.158 -1.219 -1.288 -1.364 -1.447 -1.535 -1.625 -1.714 -1.802 -1.885 -1.964 -2.042 -2.111 -2.168 -2.213 -2.250 -2.268 -2.260 -2.227 -2.167 -2.081 -1.968 -1.834 -1.683 -1.519 -1.344 -1.162 -0.979 -0.796 -0.614 -0.434 -0.258 -0.081
4.050 -0.989 -0.985 -0.990 -1.003 -1.025 -1.056 -1.097 -1.149 -1.209 -1.278 -1.351 -1.424 -1.497 -1.566 -1.631 -1.694 -1.751 -1.796 -1.832 -1.862 -1.880 -1.878 -1.859 -1.822 -1.766 -1.687 -1.586 -1.464 -1.323 -1.164 -0.993 -0.816 -0.635 -0.455 -0.276 -0.097 0.082
4.075 -0.970 -0.963 -0.961 -0.962 -0.969 -0.980 -0.997 -1.021 -1.052 -1.090 -1.132 -1.177 -1.224 -1.270 -1.315 -1.357 -1.395 -1.423 -1.445 -1.462 -1.470 -1.465 -1.448 -1.420 -1.378 -1.320 -1.245 -1.152 -1.043 -0.916 -0.775 -0.623 -0.461 -0.293 -0.119 0.065 0.244
4.100 -0.961 -0.958 -0.956 -0.953 -0.951 -0.949 -0.948 -0.949 -0.952 -0.959 -0.969 -0.982 -0.998 -1.015 -1.032 -1.046 -1.058 -1.065 -1.068 -1.067 -1.060 -1.045 -1.024 -0.997 -0.962 -0.916 -0.860 -0.793 -0.713 -0.619 -0.510 -0.387 -0.251 -0.100 0.063 0.233 0.412
4.125 -0.956 -0.951 -0.946 -0.940 -0.933 -0.927 -0.920 -0.912 -0.903 -0.893 -0.881 -0.865 -0.847 -0.826 -0.805 -0.783 -0.761 -0.741 -0.722 -0.702 -0.680 -0.655 -0.627 -0.597 -0.562 -0.520 -0.470 -0.414 -0.349 -0.272 -0.184 -0.082 0.032 0.161 0.303 0.451 0.616
4.150 -0.955 -0.947 -0.940 -0.933 -0.925 -0.918 -0.909 -0.898 -0.884 -0.864 -0.836 -0.797 -0.749 -0.694 -0.635 -0.576 -0.520 -0.470 -0.423 -0.380 -0.340 -0.300 -0.261 -0.223 -0.183 -0.138 -0.088 -0.035 0.023 0.090 0.166 0.251 0.347 0.455 0.574 0.704 0.846
4.175 -0.956 -0.949 -0.941 -0.933 -0.924 -0.915 -0.904 -0.890 -0.871 -0.845 -0.809 -0.760 -0.699 -0.625 -0.543 -0.456 -0.367 -0.282 -0.201 -0.127 -0.060 0.001 0.057 0.107 0.156 0.207 0.259 0.314 0.373 0.437 0.508 0.585 0.669 0.762 0.864 0.970 1.092
4.200 -0.958 -0.952 -0.945 -0.937 -0.928 -0.917 -0.903 -0.888 -0.866 -0.838 -0.800 -0.747 -0.681 -0.597 -0.499 -0.390 -0.274 -0.156 -0.041 0.065 0.163 0.248 0.325 0.393 0.456 0.515 0.575 0.636 0.699 0.766 0.836 0.909 0.987 1.069 1.158 1.254 1.358
4.225 -0.959 -0.953 -0.947 -0.939 -0.930 -0.919 -0.905 -0.889 -0.867 -0.838 -0.799 -0.745 -0.676 -0.587 -0.481 -0.359 -0.225 -0.085 0.056 0.191 0.318 0.432 0.535 0.626 0.707 0.781 0.851 0.921 0.990 1.061 1.132 1.206 1.281 1.358 1.439 1.521 1.613
4.250 -0.957 -0.952 -0.946 -0.939 -0.931 -0.920 -0.907 -0.891 -0.870 -0.842 -0.803 -0.751 -0.682 -0.592 -0.483 -0.354 -0.210 -0.055 0.106 0.266 0.420 0.563 0.693 0.809 0.912 1.004 1.089 1.169 1.247 1.323 1.399 1.474 1.549 1.624 1.701 1.782 1.867
4.275 -0.952 -0.949 -0.945 -0.939 -0.931 -0.920 -0.907 -0.892 -0.872 -0.845 -0.807 -0.755 -0.687 -0.598 -0.490 -0.361 -0.214 -0.051 0.121 0.298 0.474 0.641 0.798 0.940 1.068 1.182 1.284 1.378 1.465 1.548 1.628 1.705 1.782 1.857 1.934 2.012 2.092
4.300 -0.935 -0.936 -0.935 -0.931 -0.925 -0.916 -0.905 -0.891 -0.872 -0.846 -0.810 -0.760 -0.695 -0.609 -0.504 -0.377 -0.230 -0.066 0.113 0.301 0.492 0.680 0.861 1.028 1.182 1.319 1.442 1.551 1.650 1.741 1.826 1.908 1.987 2.065 2.142 2.219 2.297
4.325 -0.893 -0.902 -0.907 -0.910 -0.909 -0.905 -0.898 -0.887 -0.871 -0.847 -0.814 -0.767 -0.705 -0.623 -0.521 -0.397 -0.252 -0.088 0.093 0.287 0.487 0.689 0.888 1.077 1.255 1.416 1.561 1.689 1.802 1.904 1.997 2.084 2.167 2.247 2.324 2.402 2.476
4.350 -0.839 -0.854 -0.866 -0.875 -0.881 -0.883 -0.881 -0.874 -0.861 -0.841 -0.812 -0.769 -0.711 -0.634 -0.537 -0.417 -0.276 -0.113 0.067 0.262 0.468 0.679 0.892 1.099 1.298 1.481 1.649 1.796 1.926 2.042 2.145 2.240 2.327 2.410 2.488 2.561 2.631
4.375 -0.778 -0.795 -0.810 -0.823 -0.833 -0.840 -0.844 -0.843 -0.836 -0.822 -0.799 -0.762 -0.710 -0.640 -0.548 -0.434 -0.297 -0.138 0.041 0.237 0.446 0.664 0.885 1.106 1.320 1.522 1.710 1.877 2.027 2.158 2.275 2.380 2.474 2.560 2.640 2.715 2.784
4.400 -0.720 -0.735 -0.749 -0.763 -0.776 -0.786 -0.794 -0.798 -0.796 -0.788 -0.770 -0.740 -0.694 -0.631 -0.547 -0.440 -0.310 -0.155 0.020 0.214 0.423 0.643 0.871 1.100 1.327 1.544 1.750 1.936 2.105 2.254 2.387 2.503 2.606 2.698 2.781 2.858 2.927
4.425 -0.674 -0.684 -0.695 -0.705 -0.716 -0.725 -0.732 -0.736 -0.736 -0.730 -0.716 -0.691 -0.653 -0.599 -0.525 -0.427 -0.307 -0.162 0.005 0.194 0.400 0.621 0.852 1.087 1.323 1.553 1.772 1.975 2.162 2.330 2.479 2.610 2.726 2.827 2.917 2.998 3.070
4.450 -0.642 -0.646 -0.650 -0.656 -0.661 -0.666 -0.669 -0.670 -0.667 -0.660 -0.646 -0.624 -0.590 -0.542 -0.476 -0.389 -0.280 -0.147 0.010 0.190 0.390 0.607 0.836 1.074 1.315 1.553 1.783 2.001 2.204 2.389 2.555 2.702 2.832 2.945 3.045 3.133 3.208
4.475 -0.633 -0.630 -0.627 -0.625 -0.623 -0.621 -0.616 -0.609 -0.598 -0.583 -0.562 -0.534 -0.498 -0.451 -0.390 -0.311 -0.214 -0.093 0.049 0.215 0.402 0.610 0.832 1.067 1.308 1.550 1.789 2.018 2.235 2.434 2.617 2.780 2.924 3.052 3.163 3.258 3.338
4.500 -0.633 -0.625 -0.617 -0.608 -0.599 -0.589 -0.576 -0.559 -0.538 -0.511 -0.479 -0.440 -0.395 -0.343 -0.281 -0.206 -0.116 -0.007 0.121 0.271 0.443 0.636 0.846 1.072 1.308 1.551 1.793 2.030 2.258 2.470 2.667 2.845 3.005 3.146 3.269 3.374 3.460
4.525 -0.632 -0.624 -0.614 -0.604 -0.592 -0.577 -0.557 -0.532 -0.500 -0.460 -0.412 -0.357 -0.295 -0.228 -0.154 -0.074 0.016 0.118 0.234 0.368 0.521 0.695 0.887 1.099 1.324 1.560 1.801 2.041 2.275 2.499 2.708 2.900 3.074 3.228 3.362 3.476 3.569
4.550 -0.632 -0.625 -0.616 -0.605 -0.592 -0.574 -0.551 -0.519 -0.479 -0.426 -0.364 -0.291 -0.210 -0.123 -0.031 0.063 0.162 0.264 0.374 0.496 0.632 0.787 0.959 1.152 1.361 1.585 1.819 2.057 2.294 2.525 2.744 2.948 3.133 3.299 3.444 3.566 3.666
4.575 -0.632 -0.624 -0.615 -0.605 -0.592 -0.574 -0.550 -0.518 -0.474 -0.416 -0.344 -0.256 -0.156 -0.046 0.070 0.188 0.306 0.422 0.539 0.658 0.784 0.922 1.074 1.245 1.432 1.637 1.856 2.085 2.319 2.553 2.779 2.990 3.186 3.361 3.515 3.647 3.755
4.600 -0.632 -0.624 -0.615 -0.605 -0.593 -0.576 -0.553 -0.522 -0.478 -0.417 -0.340 -0.242 -0.127 0.004 0.144 0.288 0.432 0.568 0.700 0.826 0.950 1.078 1.215 1.365 1.530 1.714 1.914 2.130 2.356 2.586 2.814 3.031 3.234 3.417 3.579 3.719 3.836
4.625 -0.631 -0.623 -0.615 -0.605 -0.593 -0.577 -0.555 -0.525 -0.482 -0.423 -0.346 -0.245 -0.124 0.018 0.176 0.342 0.511 0.675 0.832 0.976 1.113 1.244 1.376 1.512 1.659 1.821 2.000 2.198 2.409 2.631 2.855 3.072 3.279 3.469 3.639 3.788 3.913
4.650 -0.630 -0.623 -0.614 -0.605 -0.593 -0.578 -0.557 -0.528 -0.488 -0.432 -0.357 -0.258 -0.137 0.012 0.179 0.363 0.554 0.744 0.928 1.098 1.256 1.400 1.536 1.668 1.803 1.948 2.107 2.286 2.480 2.689 2.904 3.119 3.326 3.519 3.696 3.851 3.985
4.675 -0.628 -0.621 -0.612 -0.603 -0.592 -0.577 -0.557 -0.530 -0.492 -0.439 -0.368 -0.273 -0.154 -0.008 0.161 0.351 0.554 0.763 0.970 1.168 1.353 1.520 1.675 1.815 1.952 2.090 2.236 2.398 2.574 2.767 2.970 3.175 3.379 3.572 3.752 3.913 4.054
4.700 -0.626 -0.619 -0.610 -0.601 -0.589 -0.575 -0.556 -0.531 -0.495 -0.445 -0.378 -0.288 -0.175 -0.034 0.131 0.321 0.528 0.749 0.975 1.197 1.410 1.604 1.783 1.942 2.089 2.229 2.370 2.521 2.682 2.860 3.047 3.242 3.438 3.628 3.809 3.972 4.119
4.725 -0.626 -0.618 -0.609 -0.599 -0.587 -0.573 -0.554 -0.530 -0.497 -0.450 -0.386 -0.300 -0.192 -0.058 0.101 0.286 0.490 0.713 0.945 1.182 1.415 1.636 1.843 2.028 2.197 2.351 2.499 2.647 2.800 2.965 3.138 3.320 3.506 3.691 3.869 4.033 4.185
4.750 -0.627 -0.618 -0.608 -0.597 -0.585 -0.571 -0.553 -0.530 -0.498 -0.453 -0.392 -0.310 -0.207 -0.079 0.072 0.249 0.447 0.665 0.898 1.142 1.390 1.632 1.865 2.078 2.274 2.449 2.611 2.765 2.916 3.073 3.235 3.406 3.581 3.758 3.931 4.094 4.248
4.775 -0.627 -0.618 -0.608 -0.597 -0.585 -0.570 -0.552 -0.529 -0.498 -0.455 -0.397 -0.319 -0.220 -0.097 0.049 0.219 0.411 0.622 0.850 1.093 1.344 1.598 1.847 2.084 2.306 2.507 2.691 2.860 3.020 3.177 3.334 3.497 3.663 3.831 3.997 4.157 4.313
4.800 -0.628 -0.619 -0.608 -0.597 -0.585 -0.570 -0.552 -0.529 -0.498 -0.457 -0.401 -0.326 -0.230 -0.112 0.030 0.194 0.379 0.583 0.804 1.041 1.290 1.548 1.808 2.063 2.307 2.534 2.743 2.931 3.105 3.269 3.428 3.587 3.745 3.906 4.065 4.222 4.377
4.825 -0.628 -0.619 -0.608 -0.598 -0.585 -0.570 -0.552 -0.529 -0.498 -0.457 -0.403 -0.330 -0.238 -0.122 0.015 0.175 0.354 0.552 0.767 0.997 1.241 1.497 1.760 2.024 2.284 2.529 2.760 2.970 3.162 3.339 3.505 3.667 3.824 3.981 4.136 4.288 4.440
4.850 -0.626 -0.617 -0.607 -0.597 -0.584 -0.570 -0.551 -0.528 -0.497 -0.457 -0.403 -0.333 -0.243 -0.130 0.003 0.160 0.335 0.528 0.737 0.961 1.199 1.450 1.711 1.979 2.246 2.507 2.756 2.985 3.197 3.390 3.568 3.736 3.897 4.053 4.205 4.355 4.502
4.875 -0.622 -0.614 -0.604 -0.594 -0.581 -0.566 -0.548 -0.524 -0.494 -0.455 -0.402 -0.333 -0.246 -0.136 -0.005 0.148 0.321 0.510 0.716 0.935 1.168 1.415 1.673 1.940 2.209 2.477 2.737 2.981 3.210 3.419 3.612 3.790 3.958 4.117 4.270 4.417 4.561
4.900 -0.615 -0.607 -0.598 -0.587 -0.575 -0.560 -0.542 -0.519 -0.489 -0.450 -0.399 -0.332 -0.246 -0.139 -0.010 0.140 0.311 0.498 0.701 0.918 1.147 1.390 1.643 1.906 2.175 2.445 2.711 2.967 3.209 3.433 3.641 3.832 4.009 4.173 4.328 4.477 4.618
4.925 -0.603 -0.596 -0.588 -0.578 -0.566 -0.551 -0.533 -0.511 -0.481 -0.444 -0.394 -0.328 -0.245 -0.140 -0.014 0.135 0.304 0.490 0.692 0.907 1.135 1.374 1.624 1.884 2.151 2.421 2.689 2.951 3.202 3.438 3.658 3.860 4.047 4.219 4.378 4.528 4.666
4.950 -0.585 -0.579 -0.572 -0.563 -0.552 -0.538 -0.520 -0.498 -0.470 -0.433 -0.384 -0.321 -0.239 -0.137 -0.013 0.134 0.302 0.488 0.690 0.904 1.130 1.368 1.615 1.872 2.135 2.403 2.671 2.936 3.192 3.437 3.668 3.881 4.077 4.256 4.421 4.572 4.709
4.975 -0.560 -0.555 -0.548 -0.540 -0.530 -0.518 -0.501 -0.480 -0.453 -0.417 -0.370 -0.308 -0.228 -0.128 -0.006 0.140 0.307 0.493 0.695 0.909 1.134 1.370 1.616 1.870 2.130 2.396 2.662 2.927 3.187 3.437 3.675 3.896 4.100 4.286 4.455 4.607 4.742
5.000 -0.528 -0.523 -0.517 -0.510 -0.502 -0.490 -0.475 -0.455 -0.429 -0.394 -0.348 -0.288 -0.211 -0.113 0.007 0.152 0.318 0.503 0.705 0.918 1.143 1.379 1.623 1.875 2.133 2.396 2.661 2.925 3.185 3.439 3.682 3.908 4.118 4.309 4.482 4.634 4.767
5.025 -0.488 -0.484 -0.478 -0.472 -0.464 -0.453 -0.439 -0.421 -0.395 -0.362 -0.318 -0.260 -0.185 -0.090 0.027 0.168 0.331 0.515 0.715 0.928 1.153 1.389 1.633 1.884 2.140 2.401 2.665 2.929 3.189 3.445 3.691 3.921 4.134 4.328 4.501 4.652 4.781
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6.900 -0.706 -0.706 -0.706 -0.706 -0.706 -0.706 -0.706 -0.706 -0.705 -0.704 -0.703 -0.701 -0.698 -0.693 -0.684 -0.669 -0.645 -0.608 -0.555 -0.482 -0.393 -0.287 -0.173 -0.058 0.056 0.166 0.275 0.384 0.498 0.620 0.751 0.889 1.033 1.179 1.321 1.451 1.572
6.950 -0.707 -0.707 -0.707 -0.707 -0.707 -0.707 -0.707 -0.707 -0.706 -0.705 -0.703 -0.701 -0.698 -0.693 -0.685 -0.672 -0.652 -0.621 -0.576 -0.514 -0.436 -0.342 -0.237 -0.130 -0.020 0.088 0.199 0.316 0.438 0.562 0.693 0.833 0.977 1.121 1.259 1.386 1.502
7.000 -0.708 -0.708 -0.708 -0.708 -0.708 -0.708 -0.708 -0.708 -0.707 -0.706 -0.704 -0.702 -0.698 -0.693 -0.685 -0.674 -0.656 -0.629 -0.591 -0.537 -0.469 -0.384 -0.289 -0.189 -0.084 0.023 0.136 0.259 0.386 0.510 0.639 0.779 0.922 1.064 1.199 1.321 1.433
7.050 -0.709 -0.709 -0.709 -0.709 -0.709 -0.709 -0.709 -0.709 -0.708 -0.708 -0.706 -0.703 -0.699 -0.694 -0.685 -0.673 -0.656 -0.631 -0.596 -0.548 -0.486 -0.410 -0.323 -0.230 -0.129 -0.022 0.092 0.213 0.338 0.460 0.586 0.723 0.864 1.006 1.140 1.255 1.358
7.100 -0.711 -0.711 -0.711 -0.711 -0.711 -0.711 -0.710 -0.710 -0.710 -0.709 -0.708 -0.705 -0.701 -0.695 -0.686 -0.673 -0.655 -0.630 -0.597 -0.552 -0.495 -0.425 -0.345 -0.258 -0.162 -0.056 0.057 0.172 0.290 0.409 0.533 0.667 0.805 0.946 1.079 1.189 1.280
7.150 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.711 -0.711 -0.710 -0.708 -0.704 -0.698 -0.689 -0.676 -0.657 -0.632 -0.597 -0.553 -0.498 -0.432 -0.357 -0.275 -0.185 -0.083 0.024 0.129 0.238 0.355 0.478 0.611 0.748 0.888 1.016 1.107 1.179
7.200 -0.714 -0.714 -0.714 -0.714 -0.714 -0.714 -0.714 -0.714 -0.713 -0.713 -0.712 -0.710 -0.707 -0.702 -0.694 -0.681 -0.662 -0.635 -0.600 -0.555 -0.500 -0.437 -0.366 -0.289 -0.205 -0.110 -0.011 0.084 0.185 0.298 0.421 0.555 0.690 0.823 0.937 1.014 1.060
7.250 -0.716 -0.716 -0.716 -0.716 -0.716 -0.716 -0.716 -0.716 -0.715 -0.715 -0.714 -0.713 -0.711 -0.706 -0.699 -0.687 -0.670 -0.644 -0.610 -0.564 -0.509 -0.448 -0.380 -0.307 -0.229 -0.143 -0.054 0.034 0.129 0.241 0.363 0.498 0.628 0.733 0.815 0.889 0.921
7.300 -0.718 -0.718 -0.718 -0.718 -0.718 -0.718 -0.718 -0.718 -0.718 -0.718 -0.717 -0.716 -0.714 -0.710 -0.704 -0.694 -0.679 -0.656 -0.623 -0.578 -0.524 -0.464 -0.399 -0.330 -0.257 -0.182 -0.102 -0.019 0.073 0.184 0.305 0.442 0.566 0.643 0.697 0.737 0.762
7.350 -0.720 -0.720 -0.720 -0.720 -0.720 -0.720 -0.720 -0.720 -0.720 -0.720 -0.719 -0.719 -0.717 -0.714 -0.709 -0.701 -0.688 -0.668 -0.638 -0.597 -0.547 -0.490 -0.429 -0.364 -0.295 -0.227 -0.153 -0.073 0.018 0.129 0.251 0.390 0.517 0.592 0.643 0.658 0.680
7.400 -0.723 -0.723 -0.723 -0.723 -0.723 -0.723 -0.723 -0.723 -0.723 -0.723 -0.722 -0.721 -0.720 -0.718 -0.714 -0.708 -0.697 -0.680 -0.654 -0.618 -0.573 -0.521 -0.464 -0.402 -0.338 -0.274 -0.205 -0.126 -0.035 0.076 0.198 0.332 0.452 0.527 0.579 0.619 0.642
7.450 -0.726 -0.726 -0.726 -0.726 -0.726 -0.726 -0.726 -0.726 -0.726 -0.726 -0.725 -0.725 -0.723 -0.722 -0.719 -0.713 -0.704 -0.690 -0.669 -0.638 -0.600 -0.554 -0.501 -0.444 -0.382 -0.321 -0.254 -0.176 -0.085 0.029 0.144 0.245 0.328 0.382 0.419 0.476 0.495
7.500 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.729 -0.728 -0.727 -0.726 -0.723 -0.719 -0.711 -0.699 -0.682 -0.657 -0.625 -0.585 -0.538 -0.484 -0.426 -0.367 -0.301 -0.223 -0.133 -0.017 0.092 0.159 0.204 0.238 0.261 0.278 0.289
7.550 -0.732 -0.732 -0.732 -0.733 -0.733 -0.733 -0.733 -0.733 -0.733 -0.733 -0.732 -0.732 -0.731 -0.730 -0.728 -0.724 -0.718 -0.708 -0.693 -0.673 -0.647 -0.612 -0.569 -0.520 -0.465 -0.408 -0.343 -0.266 -0.177 -0.063 0.043 0.104 0.144 0.174 0.195 0.196 0.205
7.600 -0.736 -0.736 -0.736 -0.737 -0.737 -0.737 -0.737 -0.737 -0.737 -0.737 -0.736 -0.736 -0.735 -0.734 -0.733 -0.730 -0.724 -0.715 -0.703 -0.688 -0.666 -0.635 -0.596 -0.552 -0.501 -0.446 -0.382 -0.306 -0.219 -0.109 -0.005 0.059 0.102 0.134 0.155 0.172 0.182
7.650 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.740 -0.740 -0.739 -0.738 -0.735 -0.730 -0.723 -0.713 -0.701 -0.683 -0.654 -0.618 -0.579 -0.533 -0.480 -0.418 -0.344 -0.259 -0.152 -0.053 0.009 0.050 0.081 0.102 0.118 0.127
7.700 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.746 -0.745 -0.744 -0.743 -0.741 -0.737 -0.731 -0.723 -0.713 -0.697 -0.671 -0.638 -0.603 -0.561 -0.511 -0.452 -0.381 -0.298 -0.196 -0.101 -0.043 -0.003 0.027 0.047 0.062 0.071
7.750 -0.751 -0.751 -0.751 -0.751 -0.751 -0.751 -0.751 -0.751 -0.752 -0.752 -0.752 -0.751 -0.751 -0.750 -0.749 -0.747 -0.744 -0.740 -0.733 -0.724 -0.709 -0.686 -0.657 -0.624 -0.586 -0.540 -0.485 -0.416 -0.336 -0.238 -0.146 -0.089 -0.051 -0.023 -0.003 0.002 0.011
7.800 -0.757 -0.757 -0.757 -0.757 -0.757 -0.757 -0.757 -0.757 -0.758 -0.758 -0.758 -0.758 -0.757 -0.757 -0.756 -0.754 -0.751 -0.748 -0.743 -0.734 -0.720 -0.700 -0.674 -0.644 -0.609 -0.567 -0.516 -0.450 -0.375 -0.286 -0.203 -0.152 -0.117 -0.091 -0.074 -0.061 -0.052
7.850 -0.764 -0.764 -0.764 -0.764 -0.764 -0.764 -0.764 -0.764 -0.765 -0.765 -0.765 -0.765 -0.764 -0.764 -0.763 -0.761 -0.759 -0.757 -0.753 -0.744 -0.731 -0.713 -0.690 -0.664 -0.632 -0.594 -0.547 -0.483 -0.415 -0.353 -0.300 -0.266 -0.243 -0.225 -0.214 -0.183 -0.177
7.900 -0.772 -0.772 -0.772 -0.772 -0.772 -0.772 -0.772 -0.772 -0.772 -0.773 -0.773 -0.773 -0.772 -0.772 -0.771 -0.769 -0.767 -0.766 -0.763 -0.754 -0.741 -0.725 -0.706 -0.683 -0.654 -0.620 -0.577 -0.515 -0.456 -0.420 -0.395 -0.378 -0.365 -0.356 -0.350 -0.345 -0.343
7.950 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.780 -0.779 -0.779 -0.777 -0.776 -0.775 -0.772 -0.764 -0.752 -0.738 -0.721 -0.701 -0.676 -0.645 -0.607 -0.549 -0.495 -0.464 -0.445 -0.430 -0.420 -0.413 -0.408 -0.417 -0.415
8.000 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.788 -0.787 -0.786 -0.785 -0.784 -0.781 -0.773 -0.763 -0.751 -0.737 -0.720 -0.698 -0.671 -0.636 -0.584 -0.534 -0.504 -0.483 -0.468 -0.457 -0.450 -0.445 -0.441 -0.438
8.100 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.808 -0.807 -0.807 -0.808 -0.808 -0.805 -0.801 -0.796 -0.789 -0.780 -0.770 -0.759 -0.744 -0.724 -0.697 -0.658 -0.620 -0.597 -0.581 -0.570 -0.562 -0.557 -0.553 -0.550 -0.548
8.200 -0.832 -0.832 -0.832 -0.832 -0.832 -0.832 -0.832 -0.833 -0.833 -0.833 -0.833 -0.833 -0.832 -0.832 -0.832 -0.833 -0.833 -0.830 -0.826 -0.823 -0.819 -0.814 -0.808 -0.803 -0.795 -0.782 -0.763 -0.733 -0.702 -0.684 -0.671 -0.662 -0.656 -0.651 -0.648 -0.669 -0.668
8.300 -0.861 -0.861 -0.861 -0.861 -0.861 -0.861 -0.861 -0.861 -0.862 -0.862 -0.862 -0.861 -0.861 -0.861 -0.862 -0.862 -0.862 -0.860 -0.857 -0.855 -0.853 -0.852 -0.851 -0.851 -0.850 -0.843 -0.833 -0.823 -0.815 -0.810 -0.806 -0.803 -0.801 -0.800 -0.799 -0.799 -0.798
8.400 -0.916 -0.907 -0.900 -0.897 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.895 -0.894 -0.893 -0.892 -0.892 -0.892 -0.894 -0.898 -0.904 -0.908 -0.897 -0.901 -0.964 -1.037 -1.077 -1.104 -1.124 -1.138 -1.148 -1.155 -1.078 -1.080
8.500 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.932 -0.933 -0.933 -0.933 -0.932 -0.931 -0.931 -0.931 -0.932 -0.933 -0.935 -0.940 -0.948 -0.960 -0.971 -0.960 -0.977 -1.096 -1.230 -1.305 -1.357 -1.394 -1.420 -1.439 -1.451 -1.461 -1.467
8.600 -0.842 -0.900 -0.941 -0.963 -0.968 -0.973 -0.972 -0.973 -0.973 -0.973 -0.973 -0.973 -0.974 -0.974 -0.973 -0.972 -0.972 -0.973 -0.975 -0.978 -0.982 -0.990 -1.002 -1.018 -1.038 -1.053 -1.067 -1.147 -1.270 -1.334 -1.372 -1.404 -1.423 -1.439 -1.448 -1.456 -1.461
8.700 -0.668 -0.823 -0.931 -0.991 -1.004 -1.018 -1.016 -1.018 -1.017 -1.017 -1.017 -1.017 -1.018 -1.018 -1.017 -1.017 -1.018 -1.019 -1.021 -1.026 -1.032 -1.044 -1.060 -1.082 -1.109 -1.138 -1.169 -1.188 -1.199 -1.208 -1.214 -1.219 -1.222 -1.224 -1.225 -1.226 -1.227
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low temperature opacities from Freedman (2011) and Ferguson, Alexander, et al (2005) with gs98 metals
form version X Z logRs logR_min logR_max logTs logT_min logT_max
1 37 0.000000 0.020000 86 -8.000000 9.000000 125 1.880000 4.500000
logT logR = logRho - 3*logT + 18
-8.000 -7.800 -7.600 -7.400 -7.200 -7.000 -6.800 -6.600 -6.400 -6.200 -6.000 -5.800 -5.600 -5.400 -5.200 -5.000 -4.800 -4.600 -4.400 -4.200 -4.000 -3.800 -3.600 -3.400 -3.200 -3.000 -2.800 -2.600 -2.400 -2.200 -2.000 -1.800 -1.600 -1.400 -1.200 -1.000 -0.800 -0.600 -0.400 -0.200 0.000 0.200 0.400 0.600 0.800 1.000 1.200 1.400 1.600 1.800 2.000 2.200 2.400 2.600 2.800 3.000 3.200 3.400 3.600 3.800 4.000 4.200 4.400 4.600 4.800 5.000 5.200 5.400 5.600 5.800 6.000 6.200 6.400 6.600 6.800 7.000 7.200 7.400 7.600 7.800 8.000 8.200 8.400 8.600 8.800 9.000
1.880 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.981 -7.983 -7.911 -7.713 -7.514 -7.315 -7.116 -6.919 -6.723 -6.527 -6.330 -6.133 -5.936 -5.738 -5.539 -5.339 -5.139 -4.939 -4.739 -4.539 -4.338 -4.138 -3.937 -3.737 -3.537 -3.336 -3.136 -2.936 -2.736 -2.536 -2.335 -2.135 -1.935
2.000 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.687 -7.539 -7.341 -7.141 -6.939 -6.740 -6.555 -6.378 -6.199 -6.018 -5.837 -5.655 -5.471 -5.287 -5.101 -4.913 -4.723 -4.532 -4.340 -4.146 -3.951 -3.756 -3.560 -3.364 -3.167 -2.969 -2.772 -2.574 -2.376 -2.177 -1.978 -1.779 -1.579 -1.379
2.040 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.655 -7.546 -7.346 -7.146 -6.945 -6.744 -6.543 -6.343 -6.143 -5.945 -5.748 -5.549 -5.350 -5.158 -4.977 -4.801 -4.622 -4.442 -4.261 -4.078 -3.895 -3.709 -3.522 -3.334 -3.144 -2.952 -2.759 -2.566 -2.371 -2.177 -1.981 -1.785 -1.588 -1.390 -1.191
2.080 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.613 -7.544 -7.346 -7.148 -6.950 -6.753 -6.555 -6.356 -6.156 -5.954 -5.751 -5.551 -5.354 -5.157 -4.957 -4.756 -4.554 -4.347 -4.146 -3.960 -3.782 -3.604 -3.425 -3.245 -3.065 -2.885 -2.703 -2.520 -2.335 -2.149 -1.961 -1.772 -1.581 -1.390 -1.196 -1.002
2.110 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.562 -7.563 -7.381 -7.188 -6.994 -6.797 -6.600 -6.403 -6.205 -6.008 -5.812 -5.615 -5.416 -5.217 -5.017 -4.816 -4.615 -4.412 -4.208 -4.007 -3.809 -3.612 -3.412 -3.213 -3.025 -2.846 -2.670 -2.493 -2.316 -2.138 -1.959 -1.778 -1.597 -1.414 -1.230 -1.044 -0.856
2.150 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.406 -7.266 -7.080 -6.898 -6.721 -6.543 -6.362 -6.177 -5.991 -5.801 -5.609 -5.415 -5.219 -5.022 -4.824 -4.625 -4.426 -4.225 -4.026 -3.827 -3.629 -3.430 -3.231 -3.032 -2.832 -2.632 -2.433 -2.236 -2.046 -1.868 -1.693 -1.517 -1.341 -1.166 -0.992 -0.819 -0.645
2.180 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.286 -7.227 -7.053 -6.877 -6.698 -6.516 -6.333 -6.146 -5.961 -5.778 -5.596 -5.414 -5.232 -5.048 -4.861 -4.672 -4.480 -4.284 -4.088 -3.892 -3.696 -3.499 -3.301 -3.103 -2.906 -2.708 -2.510 -2.313 -2.116 -1.917 -1.719 -1.526 -1.337 -1.154 -0.978 -0.808 -0.641 -0.479
2.200 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.163 -7.048 -6.880 -6.711 -6.540 -6.367 -6.191 -6.013 -5.833 -5.652 -5.469 -5.285 -5.099 -4.916 -4.736 -4.555 -4.371 -4.184 -3.995 -3.804 -3.611 -3.417 -3.221 -3.025 -2.828 -2.632 -2.435 -2.239 -2.043 -1.847 -1.651 -1.455 -1.257 -1.063 -0.870 -0.687 -0.525 -0.372
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2.970 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.697 -4.695 -4.679 -4.661 -4.641 -4.620 -4.593 -4.563 -4.531 -4.494 -4.429 -4.337 -4.226 -4.092 -3.945 -3.812 -3.651 -3.479 -3.298 -3.105 -2.915 -2.733 -2.558 -2.392 -2.238 -2.096 -1.969 -1.858 -1.754 -1.654 -1.558 -1.463 -1.371 -1.280 -1.188 -1.095 -1.002 -0.910 -0.815 -0.718 -0.623 -0.523 -0.412 -0.292 -0.257 -0.257 -0.257 -0.257 -0.257 -0.257 -0.257 -0.257 -0.257 -0.257
2.980 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.582 -4.578 -4.564 -4.548 -4.531 -4.512 -4.489 -4.463 -4.435 -4.403 -4.347 -4.270 -4.178 -4.059 -3.932 -3.814 -3.673 -3.517 -3.346 -3.154 -2.968 -2.790 -2.616 -2.449 -2.291 -2.144 -2.008 -1.886 -1.772 -1.668 -1.572 -1.479 -1.389 -1.300 -1.208 -1.115 -1.020 -0.925 -0.826 -0.726 -0.628 -0.523 -0.410 -0.291 -0.280 -0.280 -0.280 -0.280 -0.280 -0.280 -0.280 -0.280 -0.280 -0.280
2.990 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.467 -4.462 -4.450 -4.436 -4.421 -4.404 -4.384 -4.360 -4.334 -4.303 -4.257 -4.198 -4.127 -4.027 -3.921 -3.813 -3.686 -3.542 -3.379 -3.195 -3.016 -2.843 -2.672 -2.506 -2.346 -2.194 -2.050 -1.916 -1.793 -1.686 -1.589 -1.496 -1.409 -1.320 -1.229 -1.135 -1.039 -0.940 -0.839 -0.737 -0.634 -0.525 -0.410 -0.308 -0.307 -0.307 -0.307 -0.307 -0.307 -0.307 -0.307 -0.307 -0.307 -0.307
3.000 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.356 -4.350 -4.339 -4.327 -4.315 -4.299 -4.282 -4.261 -4.237 -4.209 -4.174 -4.128 -4.071 -3.998 -3.909 -3.803 -3.679 -3.539 -3.388 -3.224 -3.054 -2.887 -2.720 -2.556 -2.395 -2.240 -2.090 -1.947 -1.819 -1.709 -1.609 -1.516 -1.429 -1.340 -1.248 -1.154 -1.055 -0.953 -0.849 -0.745 -0.638 -0.526 -0.409 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331
3.010 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.250 -4.242 -4.233 -4.223 -4.211 -4.198 -4.183 -4.166 -4.145 -4.122 -4.092 -4.054 -4.008 -3.957 -3.875 -3.773 -3.654 -3.516 -3.384 -3.242 -3.085 -2.926 -2.761 -2.601 -2.441 -2.285 -2.132 -1.985 -1.853 -1.737 -1.631 -1.536 -1.448 -1.358 -1.265 -1.170 -1.069 -0.964 -0.858 -0.750 -0.640 -0.525 -0.407 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353 -0.353
3.020 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.146 -4.145 -4.137 -4.128 -4.119 -4.109 -4.098 -4.085 -4.069 -4.052 -4.032 -4.005 -3.971 -3.933 -3.890 -3.816 -3.727 -3.622 -3.494 -3.381 -3.254 -3.115 -2.964 -2.802 -2.646 -2.490 -2.335 -2.180 -2.030 -1.892 -1.766 -1.654 -1.557 -1.467 -1.375 -1.282 -1.185 -1.082 -0.975 -0.866 -0.755 -0.642 -0.525 -0.405 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375 -0.375
3.030 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.044 -4.041 -4.033 -4.026 -4.018 -4.009 -3.999 -3.987 -3.973 -3.958 -3.940 -3.915 -3.886 -3.850 -3.808 -3.747 -3.674 -3.586 -3.476 -3.376 -3.261 -3.135 -2.991 -2.836 -2.687 -2.536 -2.383 -2.227 -2.076 -1.932 -1.796 -1.678 -1.579 -1.486 -1.392 -1.298 -1.199 -1.094 -0.985 -0.874 -0.760 -0.643 -0.524 -0.401 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396
3.040 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.939 -3.936 -3.931 -3.925 -3.918 -3.911 -3.902 -3.892 -3.880 -3.867 -3.850 -3.829 -3.802 -3.769 -3.729 -3.681 -3.621 -3.549 -3.463 -3.365 -3.255 -3.135 -3.001 -2.862 -2.720 -2.575 -2.424 -2.269 -2.117 -1.968 -1.826 -1.704 -1.602 -1.504 -1.409 -1.314 -1.213 -1.105 -0.995 -0.880 -0.763 -0.644 -0.522 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417 -0.417
3.050 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.832 -3.831 -3.828 -3.824 -3.819 -3.812 -3.803 -3.792 -3.780 -3.765 -3.746 -3.723 -3.694 -3.660 -3.618 -3.566 -3.508 -3.437 -3.342 -3.235 -3.116 -3.000 -2.878 -2.745 -2.604 -2.458 -2.306 -2.155 -2.002 -1.858 -1.734 -1.625 -1.522 -1.426 -1.330 -1.226 -1.117 -1.004 -0.886 -0.764 -0.642 -0.517 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436 -0.436
3.060 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.723 -3.730 -3.735 -3.735 -3.735 -3.732 -3.726 -3.717 -3.708 -3.696 -3.682 -3.665 -3.644 -3.617 -3.587 -3.549 -3.504 -3.455 -3.390 -3.305 -3.209 -3.098 -2.998 -2.888 -2.766 -2.630 -2.488 -2.342 -2.193 -2.039 -1.893 -1.764 -1.647 -1.540 -1.443 -1.345 -1.239 -1.129 -1.012 -0.889 -0.764 -0.638 -0.510 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452 -0.452
3.070 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.614 -3.617 -3.630 -3.638 -3.642 -3.644 -3.643 -3.639 -3.631 -3.623 -3.612 -3.599 -3.584 -3.565 -3.542 -3.514 -3.480 -3.440 -3.394 -3.335 -3.263 -3.181 -3.085 -2.993 -2.891 -2.777 -2.648 -2.514 -2.375 -2.228 -2.074 -1.928 -1.793 -1.669 -1.558 -1.460 -1.359 -1.252 -1.140 -1.019 -0.892 -0.763 -0.633 -0.503 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470 -0.470
3.080 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.507 -3.512 -3.527 -3.537 -3.542 -3.545 -3.546 -3.544 -3.541 -3.535 -3.528 -3.518 -3.505 -3.489 -3.469 -3.445 -3.414 -3.379 -3.336 -3.284 -3.223 -3.153 -3.073 -2.982 -2.882 -2.774 -2.658 -2.533 -2.400 -2.255 -2.104 -1.959 -1.819 -1.689 -1.577 -1.476 -1.371 -1.262 -1.148 -1.024 -0.893 -0.762 -0.630 -0.497 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490 -0.490
3.090 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.399 -3.405 -3.416 -3.423 -3.428 -3.430 -3.433 -3.439 -3.444 -3.446 -3.446 -3.441 -3.432 -3.421 -3.404 -3.383 -3.356 -3.323 -3.284 -3.237 -3.182 -3.121 -3.049 -2.962 -2.865 -2.765 -2.662 -2.547 -2.419 -2.277 -2.131 -1.988 -1.844 -1.712 -1.596 -1.489 -1.380 -1.270 -1.154 -1.028 -0.896 -0.764 -0.629 -0.513 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514 -0.514
3.100 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.292 -3.294 -3.299 -3.302 -3.306 -3.308 -3.314 -3.331 -3.345 -3.357 -3.365 -3.366 -3.362 -3.356 -3.343 -3.324 -3.299 -3.268 -3.231 -3.188 -3.139 -3.083 -3.016 -2.938 -2.847 -2.757 -2.662 -2.555 -2.433 -2.296 -2.157 -2.015 -1.869 -1.735 -1.614 -1.500 -1.388 -1.277 -1.159 -1.031 -0.899 -0.766 -0.630 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540 -0.540
3.110 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.192 -3.191 -3.190 -3.190 -3.192 -3.192 -3.205 -3.231 -3.251 -3.269 -3.281 -3.287 -3.288 -3.285 -3.275 -3.259 -3.237 -3.209 -3.176 -3.138 -3.093 -3.040 -2.980 -2.911 -2.831 -2.747 -2.655 -2.554 -2.438 -2.311 -2.178 -2.036 -1.891 -1.756 -1.630 -1.509 -1.394 -1.283 -1.162 -1.033 -0.901 -0.767 -0.629 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566 -0.566
3.120 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.107 -3.104 -3.102 -3.101 -3.099 -3.099 -3.117 -3.144 -3.161 -3.175 -3.185 -3.194 -3.201 -3.201 -3.194 -3.182 -3.166 -3.145 -3.119 -3.087 -3.048 -3.001 -2.946 -2.883 -2.815 -2.733 -2.641 -2.540 -2.435 -2.319 -2.192 -2.052 -1.908 -1.773 -1.642 -1.516 -1.400 -1.285 -1.162 -1.033 -0.900 -0.765 -0.626 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591 -0.591
3.130 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.035 -3.034 -3.034 -3.029 -3.022 -3.022 -3.042 -3.063 -3.068 -3.069 -3.075 -3.089 -3.101 -3.103 -3.100 -3.096 -3.091 -3.081 -3.064 -3.039 -3.005 -2.962 -2.911 -2.853 -2.789 -2.711 -2.622 -2.526 -2.430 -2.322 -2.203 -2.067 -1.926 -1.789 -1.652 -1.524 -1.405 -1.285 -1.160 -1.031 -0.898 -0.762 -0.624 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616 -0.616
3.140 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.967 -2.968 -2.970 -2.970 -2.961 -2.951 -2.953 -2.972 -2.983 -2.975 -2.964 -2.968 -2.987 -3.001 -3.005 -3.006 -3.009 -3.014 -3.013 -3.003 -2.984 -2.956 -2.918 -2.872 -2.818 -2.755 -2.684 -2.603 -2.514 -2.422 -2.319 -2.205 -2.074 -1.939 -1.800 -1.660 -1.529 -1.406 -1.282 -1.156 -1.027 -0.894 -0.758 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639 -0.639
3.150 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.893 -2.895 -2.897 -2.896 -2.887 -2.879 -2.885 -2.901 -2.905 -2.891 -2.877 -2.882 -2.901 -2.912 -2.916 -2.920 -2.927 -2.935 -2.937 -2.929 -2.914 -2.893 -2.864 -2.826 -2.777 -2.719 -2.653 -2.582 -2.500 -2.408 -2.306 -2.192 -2.072 -1.944 -1.805 -1.664 -1.532 -1.405 -1.278 -1.150 -1.021 -0.887 -0.751 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660 -0.660
3.160 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.815 -2.814 -2.814 -2.814 -2.811 -2.810 -2.819 -2.832 -2.832 -2.822 -2.814 -2.817 -2.827 -2.832 -2.834 -2.836 -2.841 -2.846 -2.845 -2.835 -2.823 -2.813 -2.799 -2.775 -2.732 -2.679 -2.620 -2.553 -2.475 -2.385 -2.285 -2.176 -2.067 -1.944 -1.808 -1.669 -1.534 -1.401 -1.271 -1.142 -1.012 -0.878 -0.742 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680 -0.680
3.170 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.738 -2.737 -2.734 -2.733 -2.734 -2.739 -2.745 -2.754 -2.762 -2.762 -2.759 -2.757 -2.756 -2.757 -2.757 -2.756 -2.756 -2.756 -2.756 -2.750 -2.738 -2.731 -2.732 -2.732 -2.718 -2.681 -2.633 -2.579 -2.515 -2.440 -2.356 -2.262 -2.162 -2.057 -1.938 -1.805 -1.669 -1.531 -1.394 -1.262 -1.132 -1.001 -0.867 -0.731 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697 -0.697
3.180 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.667 -2.666 -2.662 -2.660 -2.663 -2.671 -2.678 -2.685 -2.689 -2.689 -2.689 -2.689 -2.688 -2.687 -2.687 -2.686 -2.685 -2.684 -2.681 -2.672 -2.660 -2.656 -2.661 -2.665 -2.651 -2.615 -2.574 -2.527 -2.470 -2.401 -2.323 -2.238 -2.146 -2.041 -1.920 -1.789 -1.657 -1.520 -1.383 -1.250 -1.120 -0.987 -0.854 -0.719 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712 -0.712
3.190 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.603 -2.601 -2.598 -2.597 -2.599 -2.603 -2.607 -2.610 -2.611 -2.609 -2.609 -2.610 -2.617 -2.623 -2.627 -2.629 -2.628 -2.626 -2.622 -2.612 -2.600 -2.595 -2.594 -2.589 -2.566 -2.531 -2.498 -2.464 -2.419 -2.358 -2.286 -2.207 -2.116 -2.013 -1.896 -1.768 -1.641 -1.506 -1.370 -1.236 -1.104 -0.971 -0.838 -0.724 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725 -0.725
3.200 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.542 -2.541 -2.539 -2.538 -2.538 -2.538 -2.537 -2.537 -2.535 -2.532 -2.530 -2.535 -2.550 -2.561 -2.568 -2.572 -2.572 -2.569 -2.565 -2.556 -2.546 -2.537 -2.527 -2.510 -2.480 -2.447 -2.422 -2.400 -2.363 -2.309 -2.242 -2.165 -2.077 -1.978 -1.869 -1.749 -1.623 -1.488 -1.354 -1.219 -1.086 -0.953 -0.820 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735 -0.735
3.210 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.483 -2.482 -2.481 -2.480 -2.478 -2.477 -2.475 -2.473 -2.470 -2.466 -2.464 -2.471 -2.484 -2.493 -2.499 -2.502 -2.502 -2.500 -2.497 -2.494 -2.488 -2.478 -2.463 -2.441 -2.410 -2.380 -2.359 -2.337 -2.299 -2.245 -2.182 -2.113 -2.034 -1.943 -1.841 -1.729 -1.601 -1.465 -1.331 -1.198 -1.065 -0.932 -0.800 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741 -0.741
3.220 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.427 -2.426 -2.425 -2.424 -2.422 -2.421 -2.419 -2.417 -2.414 -2.411 -2.409 -2.412 -2.417 -2.419 -2.420 -2.421 -2.421 -2.421 -2.424 -2.431 -2.432 -2.422 -2.405 -2.383 -2.355 -2.325 -2.299 -2.269 -2.223 -2.166 -2.107 -2.052 -1.989 -1.906 -1.809 -1.699 -1.568 -1.431 -1.300 -1.170 -1.039 -0.908 -0.777 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744 -0.744
3.230 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.374 -2.373 -2.372 -2.371 -2.370 -2.369 -2.368 -2.366 -2.364 -2.362 -2.360 -2.358 -2.355 -2.353 -2.350 -2.347 -2.346 -2.347 -2.348 -2.356 -2.368 -2.371 -2.360 -2.343 -2.323 -2.300 -2.271 -2.239 -2.200 -2.148 -2.089 -2.035 -1.992 -1.938 -1.862 -1.769 -1.660 -1.529 -1.394 -1.265 -1.137 -1.009 -0.880 -0.752 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745 -0.745
3.240 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.323 -2.322 -2.321 -2.319 -2.318 -2.317 -2.316 -2.314 -2.313 -2.311 -2.309 -2.306 -2.303 -2.299 -2.295 -2.291 -2.289 -2.288 -2.287 -2.292 -2.298 -2.294 -2.279 -2.265 -2.253 -2.239 -2.218 -2.180 -2.135 -2.083 -2.026 -1.975 -1.930 -1.874 -1.802 -1.716 -1.613 -1.491 -1.362 -1.229 -1.094 -0.966 -0.840 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736 -0.736
3.250 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.277 -2.274 -2.272 -2.270 -2.268 -2.267 -2.266 -2.265 -2.263 -2.262 -2.260 -2.258 -2.255 -2.252 -2.249 -2.245 -2.241 -2.237 -2.232 -2.229 -2.223 -2.211 -2.193 -2.186 -2.183 -2.180 -2.163 -2.118 -2.071 -2.022 -1.969 -1.917 -1.862 -1.801 -1.735 -1.658 -1.563 -1.453 -1.329 -1.187 -1.043 -0.914 -0.791 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715 -0.715
3.260 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.239 -2.236 -2.230 -2.227 -2.224 -2.222 -2.220 -2.218 -2.217 -2.215 -2.214 -2.212 -2.210 -2.208 -2.205 -2.202 -2.199 -2.194 -2.188 -2.181 -2.173 -2.163 -2.147 -2.131 -2.124 -2.120 -2.116 -2.092 -2.045 -2.002 -1.960 -1.913 -1.857 -1.796 -1.736 -1.677 -1.605 -1.515 -1.411 -1.289 -1.145 -1.002 -0.872 -0.749 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696 -0.696
3.270 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.210 -2.198 -2.186 -2.184 -2.180 -2.177 -2.175 -2.173 -2.171 -2.169 -2.168 -2.166 -2.165 -2.162 -2.160 -2.157 -2.153 -2.149 -2.144 -2.137 -2.129 -2.118 -2.104 -2.089 -2.074 -2.058 -2.038 -2.003 -1.960 -1.927 -1.899 -1.858 -1.798 -1.732 -1.676 -1.624 -1.557 -1.468 -1.365 -1.245 -1.108 -0.972 -0.840 -0.709 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677 -0.677
3.280 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.200 -2.199 -2.181 -2.164 -2.150 -2.142 -2.137 -2.133 -2.130 -2.128 -2.126 -2.124 -2.122 -2.120 -2.118 -2.116 -2.113 -2.110 -2.106 -2.101 -2.095 -2.087 -2.077 -2.065 -2.049 -2.027 -2.001 -1.969 -1.929 -1.891 -1.863 -1.839 -1.797 -1.733 -1.667 -1.616 -1.569 -1.502 -1.416 -1.316 -1.199 -1.069 -0.938 -0.804 -0.667 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659 -0.659
3.290 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.235 -2.236 -2.221 -2.186 -2.150 -2.121 -2.106 -2.095 -2.087 -2.082 -2.078 -2.080 -2.082 -2.080 -2.078 -2.076 -2.074 -2.071 -2.068 -2.064 -2.059 -2.053 -2.045 -2.035 -2.024 -2.007 -1.986 -1.959 -1.926 -1.887 -1.847 -1.810 -1.771 -1.720 -1.657 -1.597 -1.549 -1.501 -1.436 -1.357 -1.264 -1.150 -1.025 -0.896 -0.763 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645 -0.645
3.300 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.328 -2.329 -2.269 -2.195 -2.139 -2.103 -2.084 -2.069 -2.058 -2.052 -2.046 -2.045 -2.043 -2.040 -2.038 -2.035 -2.033 -2.030 -2.027 -2.023 -2.018 -2.012 -2.004 -1.995 -1.983 -1.967 -1.947 -1.923 -1.891 -1.853 -1.809 -1.758 -1.702 -1.645 -1.585 -1.530 -1.483 -1.432 -1.370 -1.299 -1.209 -1.099 -0.976 -0.851 -0.719 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629 -0.629
3.310 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.509 -2.496 -2.368 -2.245 -2.169 -2.123 -2.094 -2.075 -2.061 -2.052 -2.043 -2.020 -2.008 -2.003 -1.998 -1.994 -1.991 -1.990 -1.987 -1.983 -1.978 -1.972 -1.965 -1.955 -1.944 -1.928 -1.909 -1.884 -1.852 -1.815 -1.767 -1.708 -1.646 -1.587 -1.529 -1.476 -1.427 -1.373 -1.311 -1.242 -1.152 -1.042 -0.922 -0.800 -0.670 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608 -0.608
3.320 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.797 -2.744 -2.546 -2.379 -2.271 -2.191 -2.132 -2.099 -2.074 -2.056 -2.034 -1.995 -1.976 -1.966 -1.957 -1.951 -1.946 -1.950 -1.948 -1.944 -1.940 -1.934 -1.927 -1.917 -1.905 -1.890 -1.871 -1.846 -1.815 -1.777 -1.727 -1.665 -1.602 -1.543 -1.486 -1.432 -1.378 -1.319 -1.255 -1.182 -1.088 -0.977 -0.861 -0.742 -0.616 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583 -0.583
3.330 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.148 -3.016 -2.776 -2.568 -2.416 -2.288 -2.194 -2.137 -2.093 -2.061 -2.021 -1.971 -1.945 -1.930 -1.917 -1.909 -1.905 -1.912 -1.910 -1.907 -1.902 -1.897 -1.889 -1.880 -1.868 -1.853 -1.833 -1.808 -1.777 -1.739 -1.689 -1.629 -1.568 -1.509 -1.451 -1.393 -1.334 -1.268 -1.199 -1.119 -1.020 -0.908 -0.795 -0.681 -0.565 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554 -0.554
3.340 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.521 -3.294 -3.027 -2.788 -2.583 -2.405 -2.274 -2.185 -2.115 -2.064 -2.007 -1.950 -1.919 -1.899 -1.882 -1.871 -1.870 -1.877 -1.874 -1.871 -1.866 -1.861 -1.853 -1.843 -1.831 -1.815 -1.796 -1.770 -1.740 -1.702 -1.653 -1.596 -1.538 -1.479 -1.418 -1.357 -1.291 -1.219 -1.143 -1.055 -0.951 -0.838 -0.729 -0.620 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523 -0.523
3.350 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.871 -3.844 -3.558 -3.273 -3.006 -2.756 -2.536 -2.369 -2.240 -2.137 -2.063 -1.993 -1.933 -1.898 -1.875 -1.856 -1.844 -1.843 -1.844 -1.841 -1.836 -1.831 -1.824 -1.816 -1.806 -1.793 -1.777 -1.757 -1.732 -1.701 -1.663 -1.617 -1.564 -1.508 -1.448 -1.385 -1.319 -1.248 -1.170 -1.086 -0.992 -0.883 -0.772 -0.665 -0.561 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492 -0.492
3.360 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.157 -4.080 -3.779 -3.488 -3.203 -2.928 -2.682 -2.473 -2.296 -2.157 -2.057 -1.980 -1.922 -1.887 -1.862 -1.842 -1.830 -1.822 -1.816 -1.809 -1.802 -1.795 -1.788 -1.779 -1.768 -1.754 -1.738 -1.718 -1.692 -1.661 -1.623 -1.578 -1.528 -1.473 -1.412 -1.346 -1.277 -1.202 -1.120 -1.031 -0.932 -0.822 -0.712 -0.608 -0.506 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460
3.370 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.375 -4.259 -3.976 -3.698 -3.416 -3.137 -2.877 -2.618 -2.393 -2.217 -2.087 -2.001 -1.936 -1.895 -1.864 -1.843 -1.829 -1.805 -1.789 -1.776 -1.766 -1.757 -1.749 -1.740 -1.728 -1.714 -1.697 -1.676 -1.650 -1.619 -1.581 -1.537 -1.487 -1.431 -1.370 -1.304 -1.232 -1.154 -1.071 -0.980 -0.879 -0.769 -0.660 -0.556 -0.453 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429 -0.429
3.380 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.578 -4.445 -4.208 -3.962 -3.701 -3.430 -3.148 -2.840 -2.580 -2.371 -2.209 -2.092 -1.998 -1.929 -1.880 -1.850 -1.828 -1.785 -1.760 -1.740 -1.724 -1.714 -1.709 -1.699 -1.687 -1.673 -1.656 -1.634 -1.609 -1.577 -1.539 -1.495 -1.445 -1.389 -1.327 -1.261 -1.188 -1.109 -1.025 -0.933 -0.831 -0.722 -0.613 -0.506 -0.403 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396 -0.396
3.390 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.751 -4.627 -4.444 -4.238 -4.005 -3.741 -3.432 -3.095 -2.817 -2.578 -2.379 -2.220 -2.085 -1.980 -1.907 -1.860 -1.823 -1.767 -1.732 -1.703 -1.682 -1.674 -1.669 -1.658 -1.645 -1.631 -1.614 -1.592 -1.566 -1.534 -1.496 -1.451 -1.401 -1.345 -1.284 -1.217 -1.144 -1.066 -0.981 -0.888 -0.786 -0.678 -0.568 -0.457 -0.360 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362 -0.362
3.400 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.881 -4.877 -4.781 -4.645 -4.473 -4.264 -4.006 -3.686 -3.344 -3.060 -2.794 -2.560 -2.358 -2.181 -2.039 -1.941 -1.871 -1.811 -1.750 -1.706 -1.671 -1.647 -1.638 -1.630 -1.618 -1.603 -1.588 -1.570 -1.547 -1.521 -1.489 -1.450 -1.406 -1.356 -1.300 -1.238 -1.172 -1.100 -1.021 -0.936 -0.844 -0.742 -0.634 -0.522 -0.405 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328 -0.328
3.410 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.952 -4.942 -4.873 -4.762 -4.608 -4.412 -4.166 -3.866 -3.551 -3.264 -2.979 -2.720 -2.485 -2.277 -2.107 -1.979 -1.879 -1.799 -1.736 -1.687 -1.650 -1.624 -1.609 -1.593 -1.578 -1.561 -1.544 -1.524 -1.501 -1.474 -1.441 -1.402 -1.358 -1.308 -1.252 -1.191 -1.125 -1.053 -0.975 -0.890 -0.797 -0.697 -0.589 -0.474 -0.353 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296 -0.296
3.420 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.956 -4.939 -4.869 -4.758 -4.603 -4.406 -4.195 -3.950 -3.689 -3.402 -3.114 -2.847 -2.599 -2.378 -2.192 -2.028 -1.894 -1.797 -1.733 -1.682 -1.644 -1.618 -1.582 -1.559 -1.538 -1.517 -1.498 -1.476 -1.451 -1.423 -1.389 -1.350 -1.306 -1.256 -1.201 -1.140 -1.075 -1.003 -0.925 -0.840 -0.747 -0.647 -0.539 -0.423 -0.299 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265 -0.265
3.430 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.914 -4.890 -4.820 -4.713 -4.566 -4.373 -4.210 -4.018 -3.798 -3.531 -3.259 -3.002 -2.756 -2.531 -2.330 -2.138 -1.971 -1.847 -1.765 -1.698 -1.647 -1.614 -1.556 -1.521 -1.490 -1.465 -1.446 -1.422 -1.396 -1.366 -1.333 -1.294 -1.250 -1.201 -1.147 -1.087 -1.022 -0.951 -0.874 -0.789 -0.696 -0.596 -0.488 -0.371 -0.249 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238 -0.238
3.440 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.842 -4.813 -4.749 -4.653 -4.526 -4.355 -4.230 -4.081 -3.892 -3.658 -3.416 -3.177 -2.941 -2.716 -2.500 -2.288 -2.088 -1.927 -1.817 -1.725 -1.651 -1.601 -1.528 -1.479 -1.438 -1.409 -1.391 -1.364 -1.337 -1.307 -1.273 -1.235 -1.192 -1.144 -1.091 -1.033 -0.969 -0.898 -0.821 -0.737 -0.644 -0.544 -0.436 -0.319 -0.210 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212 -0.212
3.450 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.754 -4.753 -4.722 -4.666 -4.589 -4.483 -4.346 -4.250 -4.133 -3.972 -3.777 -3.568 -3.350 -3.125 -2.901 -2.672 -2.447 -2.214 -2.015 -1.875 -1.753 -1.656 -1.583 -1.500 -1.437 -1.386 -1.355 -1.335 -1.306 -1.277 -1.245 -1.211 -1.174 -1.132 -1.085 -1.033 -0.976 -0.913 -0.843 -0.767 -0.683 -0.591 -0.491 -0.383 -0.267 -0.186 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187 -0.187
3.460 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.662 -4.658 -4.628 -4.583 -4.525 -4.442 -4.342 -4.265 -4.169 -4.035 -3.874 -3.693 -3.493 -3.278 -3.053 -2.815 -2.581 -2.324 -2.098 -1.927 -1.777 -1.659 -1.564 -1.473 -1.398 -1.340 -1.307 -1.280 -1.248 -1.217 -1.184 -1.149 -1.112 -1.070 -1.025 -0.974 -0.918 -0.855 -0.786 -0.711 -0.627 -0.535 -0.436 -0.329 -0.214 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160 -0.160
3.470 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.580 -4.571 -4.544 -4.508 -4.467 -4.407 -4.338 -4.272 -4.185 -4.070 -3.931 -3.767 -3.576 -3.367 -3.139 -2.897 -2.656 -2.394 -2.159 -1.966 -1.794 -1.657 -1.545 -1.449 -1.368 -1.306 -1.267 -1.229 -1.193 -1.158 -1.123 -1.088 -1.049 -1.008 -0.963 -0.912 -0.857 -0.795 -0.727 -0.652 -0.568 -0.477 -0.378 -0.272 -0.159 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130 -0.130
3.480 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.519 -4.504 -4.477 -4.446 -4.413 -4.379 -4.328 -4.263 -4.174 -4.062 -3.926 -3.762 -3.571 -3.362 -3.131 -2.888 -2.649 -2.413 -2.190 -1.987 -1.807 -1.650 -1.529 -1.434 -1.354 -1.292 -1.235 -1.184 -1.143 -1.103 -1.065 -1.027 -0.987 -0.945 -0.899 -0.849 -0.794 -0.732 -0.664 -0.589 -0.506 -0.416 -0.318 -0.213 -0.102 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096 -0.096
3.490 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.468 -4.467 -4.441 -4.410 -4.378 -4.345 -4.331 -4.278 -4.210 -4.119 -4.004 -3.867 -3.703 -3.516 -3.312 -3.087 -2.849 -2.624 -2.418 -2.210 -2.010 -1.830 -1.658 -1.537 -1.437 -1.351 -1.282 -1.206 -1.146 -1.096 -1.050 -1.007 -0.966 -0.923 -0.880 -0.833 -0.782 -0.727 -0.666 -0.598 -0.523 -0.441 -0.351 -0.255 -0.151 -0.056 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058 -0.058
3.500 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.421 -4.415 -4.377 -4.339 -4.300 -4.261 -4.250 -4.189 -4.117 -4.024 -3.909 -3.774 -3.615 -3.438 -3.246 -3.037 -2.809 -2.605 -2.425 -2.229 -2.040 -1.864 -1.687 -1.562 -1.452 -1.353 -1.268 -1.180 -1.110 -1.050 -0.996 -0.949 -0.902 -0.857 -0.812 -0.764 -0.713 -0.657 -0.596 -0.529 -0.455 -0.373 -0.284 -0.189 -0.087 -0.017 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018 -0.018
3.525 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.326 -4.291 -4.231 -4.169 -4.104 -4.040 -3.978 -3.901 -3.817 -3.717 -3.604 -3.481 -3.348 -3.208 -3.061 -2.901 -2.718 -2.573 -2.428 -2.271 -2.112 -1.949 -1.784 -1.633 -1.484 -1.341 -1.223 -1.113 -1.014 -0.930 -0.859 -0.796 -0.738 -0.686 -0.634 -0.582 -0.530 -0.473 -0.412 -0.346 -0.273 -0.194 -0.109 -0.018 0.080 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092 0.092
3.550 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.278 -4.275 -4.225 -4.163 -4.089 -4.004 -3.911 -3.811 -3.705 -3.593 -3.481 -3.366 -3.248 -3.127 -3.006 -2.886 -2.771 -2.656 -2.525 -2.388 -2.245 -2.096 -1.937 -1.773 -1.610 -1.445 -1.288 -1.137 -1.009 -0.895 -0.798 -0.715 -0.640 -0.573 -0.513 -0.454 -0.398 -0.341 -0.282 -0.222 -0.156 -0.085 -0.009 0.071 0.156 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211 0.211
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4.150 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.242 -4.211 -4.159 -4.084 -3.988 -3.877 -3.750 -3.612 -3.467 -3.314 -3.159 -3.002 -2.844 -2.688 -2.533 -2.383 -2.236 -2.094 -1.956 -1.822 -1.690 -1.562 -1.436 -1.312 -1.188 -1.066 -0.944 -0.824 -0.707 -0.593 -0.484 -0.383 -0.288 -0.201 -0.121 -0.047 0.024 0.090 0.154 0.218 0.280 0.342 0.406 0.471 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.175 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.233 -4.194 -4.134 -4.050 -3.947 -3.831 -3.699 -3.559 -3.410 -3.256 -3.101 -2.942 -2.785 -2.630 -2.476 -2.327 -2.182 -2.041 -1.905 -1.772 -1.642 -1.515 -1.389 -1.265 -1.143 -1.020 -0.899 -0.780 -0.664 -0.551 -0.445 -0.347 -0.255 -0.170 -0.093 -0.020 0.049 0.114 0.178 0.241 0.303 0.366 0.430 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.200 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.246 -4.221 -4.174 -4.105 -4.013 -3.906 -3.783 -3.647 -3.504 -3.353 -3.198 -3.041 -2.883 -2.727 -2.571 -2.420 -2.272 -2.129 -1.990 -1.855 -1.723 -1.594 -1.468 -1.343 -1.219 -1.097 -0.975 -0.854 -0.736 -0.621 -0.510 -0.407 -0.311 -0.222 -0.140 -0.065 0.006 0.074 0.138 0.202 0.264 0.326 0.390 0.454 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.225 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.239 -4.206 -4.151 -4.073 -3.974 -3.862 -3.733 -3.595 -3.448 -3.295 -3.140 -2.982 -2.825 -2.668 -2.514 -2.364 -2.218 -2.076 -1.939 -1.805 -1.674 -1.547 -1.421 -1.296 -1.173 -1.051 -0.929 -0.810 -0.693 -0.579 -0.471 -0.371 -0.277 -0.190 -0.111 -0.038 0.032 0.098 0.162 0.226 0.287 0.350 0.414 0.479 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.250 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.229 -4.188 -4.125 -4.038 -3.934 -3.815 -3.682 -3.541 -3.391 -3.237 -3.081 -2.923 -2.766 -2.610 -2.457 -2.309 -2.164 -2.024 -1.888 -1.756 -1.626 -1.499 -1.374 -1.250 -1.127 -1.005 -0.884 -0.766 -0.649 -0.537 -0.433 -0.335 -0.244 -0.160 -0.083 -0.011 0.057 0.122 0.186 0.249 0.311 0.374 0.438 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.275 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.244 -4.216 -4.167 -4.095 -4.000 -3.891 -3.766 -3.630 -3.486 -3.333 -3.179 -3.022 -2.864 -2.707 -2.552 -2.401 -2.254 -2.111 -1.973 -1.838 -1.707 -1.578 -1.452 -1.327 -1.204 -1.081 -0.959 -0.839 -0.722 -0.607 -0.497 -0.395 -0.300 -0.211 -0.131 -0.056 0.015 0.082 0.146 0.210 0.272 0.334 0.398 0.463 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.300 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.236 -4.200 -4.143 -4.061 -3.961 -3.846 -3.716 -3.577 -3.429 -3.275 -3.120 -2.962 -2.805 -2.649 -2.495 -2.346 -2.200 -2.059 -1.922 -1.789 -1.658 -1.531 -1.405 -1.281 -1.158 -1.036 -0.914 -0.795 -0.678 -0.565 -0.458 -0.359 -0.266 -0.180 -0.102 -0.029 0.041 0.106 0.171 0.233 0.295 0.358 0.422 0.487 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.325 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.225 -4.181 -4.115 -4.026 -3.920 -3.799 -3.664 -3.523 -3.372 -3.218 -3.061 -2.903 -2.746 -2.591 -2.438 -2.291 -2.147 -2.007 -1.872 -1.739 -1.610 -1.484 -1.358 -1.235 -1.112 -0.990 -0.869 -0.751 -0.635 -0.524 -0.420 -0.323 -0.233 -0.150 -0.074 -0.002 0.066 0.130 0.194 0.256 0.319 0.382 0.446 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.350 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.242 -4.211 -4.159 -4.084 -3.988 -3.877 -3.750 -3.612 -3.467 -3.314 -3.159 -3.002 -2.844 -2.688 -2.533 -2.383 -2.236 -2.094 -1.956 -1.822 -1.690 -1.562 -1.436 -1.312 -1.188 -1.066 -0.944 -0.824 -0.707 -0.593 -0.484 -0.383 -0.288 -0.201 -0.121 -0.047 0.024 0.090 0.154 0.218 0.280 0.342 0.406 0.471 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.375 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.233 -4.194 -4.134 -4.050 -3.947 -3.831 -3.699 -3.559 -3.410 -3.256 -3.101 -2.942 -2.785 -2.630 -2.476 -2.327 -2.182 -2.041 -1.905 -1.772 -1.642 -1.515 -1.389 -1.265 -1.143 -1.020 -0.899 -0.780 -0.664 -0.551 -0.445 -0.347 -0.255 -0.170 -0.093 -0.020 0.049 0.114 0.178 0.241 0.303 0.366 0.430 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.400 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.246 -4.221 -4.174 -4.105 -4.013 -3.906 -3.783 -3.647 -3.504 -3.353 -3.198 -3.041 -2.883 -2.727 -2.571 -2.420 -2.272 -2.129 -1.990 -1.855 -1.723 -1.594 -1.468 -1.343 -1.219 -1.097 -0.975 -0.854 -0.736 -0.621 -0.510 -0.407 -0.311 -0.222 -0.140 -0.065 0.006 0.074 0.138 0.202 0.264 0.326 0.390 0.454 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.425 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.239 -4.206 -4.151 -4.073 -3.974 -3.862 -3.733 -3.595 -3.448 -3.295 -3.140 -2.982 -2.825 -2.668 -2.514 -2.364 -2.218 -2.076 -1.939 -1.805 -1.674 -1.547 -1.421 -1.296 -1.173 -1.051 -0.929 -0.810 -0.693 -0.579 -0.471 -0.371 -0.277 -0.190 -0.111 -0.038 0.032 0.098 0.162 0.226 0.287 0.350 0.414 0.479 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.450 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.229 -4.188 -4.125 -4.038 -3.934 -3.815 -3.682 -3.541 -3.391 -3.237 -3.081 -2.923 -2.766 -2.610 -2.457 -2.309 -2.164 -2.024 -1.888 -1.756 -1.626 -1.499 -1.374 -1.250 -1.127 -1.005 -0.884 -0.766 -0.649 -0.537 -0.433 -0.335 -0.244 -0.160 -0.083 -0.011 0.057 0.122 0.186 0.249 0.311 0.374 0.438 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.475 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.244 -4.216 -4.167 -4.095 -4.000 -3.891 -3.766 -3.630 -3.486 -3.333 -3.179 -3.022 -2.864 -2.707 -2.552 -2.401 -2.254 -2.111 -1.973 -1.838 -1.707 -1.578 -1.452 -1.327 -1.204 -1.081 -0.959 -0.839 -0.722 -0.607 -0.497 -0.395 -0.300 -0.211 -0.131 -0.056 0.015 0.082 0.146 0.210 0.272 0.334 0.398 0.463 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
4.500 -4.247 -4.247 -4.247 -4.247 -4.247 -4.247 -4.236 -4.200 -4.143 -4.061 -3.961 -3.846 -3.716 -3.577 -3.429 -3.275 -3.120 -2.962 -2.805 -2.649 -2.495 -2.346 -2.200 -2.059 -1.922 -1.789 -1.658 -1.531 -1.405 -1.281 -1.158 -1.036 -0.914 -0.795 -0.678 -0.565 -0.458 -0.359 -0.266 -0.180 -0.102 -0.029 0.041 0.106 0.171 0.233 0.295 0.358 0.422 0.487 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490 0.490
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fixed metal distribution -- based on Grevesse & Sauval (1998) solar abundances
form version X Z logRs logR_min logR_max logTs logT_min logT_max
1 37 0.000000 0.020000 37 -8.000000 1.000000 138 3.750000 8.700000
logT logR = logRho - 3*logT + 18
-8.000 -7.750 -7.500 -7.250 -7.000 -6.750 -6.500 -6.250 -6.000 -5.750 -5.500 -5.250 -5.000 -4.750 -4.500 -4.250 -4.000 -3.750 -3.500 -3.250 -3.000 -2.750 -2.500 -2.250 -2.000 -1.750 -1.500 -1.250 -1.000 -0.750 -0.500 -0.250 0.000 0.250 0.500 0.750 1.000
3.750 -1.092 -1.232 -1.841 -1.910 -2.013 -3.295 -3.302 -3.313 -3.329 -3.353 -3.384 -3.421 -3.464 -3.506 -3.548 -3.583 -3.612 -3.634 -3.650 -3.665 -3.678 -3.684 -3.685 -3.655 -3.603 -3.506 -3.371 -3.200 -2.992 -2.768 -2.521 -2.272 -2.013 -1.761 -1.510 -1.269 -1.035
3.775 -1.732 -1.312 -1.450 -1.545 -1.645 -4.316 -3.277 -3.279 -3.285 -3.294 -3.307 -3.326 -3.349 -3.377 -3.409 -3.443 -3.480 -3.513 -3.545 -3.569 -3.588 -3.588 -3.575 -3.525 -3.447 -3.335 -3.191 -3.026 -2.838 -2.641 -2.430 -2.208 -1.975 -1.730 -1.475 -1.217 -0.953
3.800 -1.092 -1.232 -1.841 -1.910 -2.013 -4.915 -3.254 -3.252 -3.251 -3.251 -3.252 -3.257 -3.266 -3.281 -3.302 -3.330 -3.364 -3.398 -3.435 -3.461 -3.480 -3.475 -3.453 -3.392 -3.299 -3.176 -3.022 -2.859 -2.679 -2.497 -2.307 -2.106 -1.895 -1.664 -1.417 -1.158 -0.885
3.825 -1.732 -1.312 -1.450 -1.545 -1.645 -4.135 -3.254 -3.248 -3.242 -3.234 -3.228 -3.224 -3.222 -3.225 -3.232 -3.245 -3.263 -3.287 -3.311 -3.334 -3.346 -3.344 -3.319 -3.259 -3.165 -3.031 -2.871 -2.695 -2.510 -2.327 -2.142 -1.958 -1.765 -1.559 -1.338 -1.092 -0.831
3.850 -1.092 -1.232 -1.841 -1.910 -2.013 -4.028 -3.216 -3.218 -3.216 -3.212 -3.206 -3.201 -3.195 -3.189 -3.185 -3.183 -3.184 -3.190 -3.198 -3.208 -3.211 -3.204 -3.177 -3.118 -3.025 -2.887 -2.721 -2.536 -2.342 -2.153 -1.967 -1.789 -1.611 -1.428 -1.234 -1.020 -0.790
3.875 -1.732 -1.312 -1.450 -1.545 -1.645 -3.038 -3.083 -3.119 -3.147 -3.166 -3.178 -3.183 -3.182 -3.176 -3.166 -3.155 -3.144 -3.134 -3.123 -3.114 -3.098 -3.071 -3.026 -2.951 -2.847 -2.711 -2.551 -2.374 -2.188 -2.001 -1.814 -1.634 -1.455 -1.277 -1.094 -0.903 -0.694
3.900 -1.092 -1.232 -1.841 -1.910 -2.013 -2.790 -2.870 -2.943 -3.006 -3.056 -3.093 -3.117 -3.130 -3.134 -3.131 -3.122 -3.107 -3.088 -3.064 -3.037 -3.000 -2.950 -2.881 -2.784 -2.666 -2.528 -2.375 -2.209 -2.033 -1.851 -1.665 -1.480 -1.297 -1.118 -0.938 -0.754 -0.567
3.925 -1.732 -1.312 -1.450 -1.545 -1.645 -2.455 -2.552 -2.645 -2.731 -2.807 -2.874 -2.930 -2.977 -3.013 -3.039 -3.055 -3.059 -3.049 -3.026 -2.989 -2.935 -2.861 -2.767 -2.646 -2.507 -2.357 -2.197 -2.032 -1.862 -1.688 -1.510 -1.330 -1.148 -0.968 -0.787 -0.608 -0.427
3.950 -1.092 -1.232 -1.841 -1.910 -2.013 -2.092 -2.197 -2.301 -2.401 -2.497 -2.589 -2.675 -2.754 -2.824 -2.882 -2.927 -2.956 -2.965 -2.952 -2.916 -2.856 -2.769 -2.657 -2.518 -2.362 -2.198 -2.028 -1.861 -1.693 -1.524 -1.353 -1.177 -0.999 -0.818 -0.635 -0.452 -0.269
3.975 -1.732 -1.312 -1.450 -1.545 -1.645 -1.708 -1.861 -1.966 -2.070 -2.173 -2.272 -2.368 -2.458 -2.542 -2.617 -2.681 -2.731 -2.765 -2.779 -2.767 -2.728 -2.655 -2.551 -2.410 -2.248 -2.075 -1.895 -1.717 -1.541 -1.366 -1.192 -1.017 -0.842 -0.664 -0.485 -0.303 -0.120
4.000 -1.092 -1.232 -1.211 -1.289 -1.367 -1.457 -1.553 -1.651 -1.750 -1.849 -1.946 -2.041 -2.132 -2.219 -2.301 -2.375 -2.440 -2.495 -2.532 -2.546 -2.532 -2.482 -2.396 -2.268 -2.113 -1.942 -1.760 -1.577 -1.394 -1.213 -1.034 -0.858 -0.684 -0.510 -0.334 -0.154 0.029
4.025 -1.732 -1.312 -1.077 -1.073 -1.167 -1.229 -1.300 -1.379 -1.463 -1.551 -1.641 -1.729 -1.816 -1.899 -1.977 -2.049 -2.112 -2.165 -2.204 -2.223 -2.219 -2.187 -2.125 -2.028 -1.906 -1.763 -1.605 -1.437 -1.260 -1.079 -0.896 -0.715 -0.535 -0.358 -0.182 -0.003 0.176
4.050 -1.000 -0.996 -1.001 -1.013 -1.035 -1.067 -1.109 -1.163 -1.225 -1.294 -1.367 -1.441 -1.515 -1.585 -1.650 -1.709 -1.761 -1.803 -1.833 -1.848 -1.847 -1.827 -1.786 -1.722 -1.636 -1.529 -1.402 -1.257 -1.097 -0.925 -0.745 -0.563 -0.381 -0.203 -0.026 0.149 0.323
4.075 -0.979 -0.972 -0.969 -0.970 -0.977 -0.989 -1.007 -1.033 -1.065 -1.103 -1.146 -1.192 -1.240 -1.287 -1.331 -1.372 -1.406 -1.432 -1.449 -1.454 -1.448 -1.428 -1.395 -1.345 -1.280 -1.198 -1.099 -0.983 -0.853 -0.707 -0.551 -0.386 -0.215 -0.043 0.131 0.307 0.477
4.100 -0.966 -0.963 -0.961 -0.959 -0.957 -0.956 -0.956 -0.958 -0.962 -0.970 -0.980 -0.994 -1.010 -1.027 -1.043 -1.056 -1.066 -1.071 -1.069 -1.060 -1.043 -1.018 -0.985 -0.942 -0.889 -0.825 -0.750 -0.662 -0.561 -0.446 -0.317 -0.175 -0.023 0.138 0.303 0.469 0.636
4.125 -0.961 -0.956 -0.950 -0.944 -0.938 -0.932 -0.926 -0.920 -0.912 -0.903 -0.891 -0.875 -0.857 -0.834 -0.810 -0.786 -0.762 -0.738 -0.714 -0.689 -0.661 -0.629 -0.593 -0.552 -0.504 -0.450 -0.387 -0.313 -0.230 -0.134 -0.027 0.092 0.222 0.360 0.506 0.656 0.812
4.150 -0.960 -0.952 -0.944 -0.936 -0.929 -0.922 -0.914 -0.905 -0.891 -0.872 -0.844 -0.805 -0.756 -0.697 -0.634 -0.572 -0.511 -0.456 -0.404 -0.357 -0.313 -0.270 -0.226 -0.181 -0.133 -0.081 -0.023 0.042 0.115 0.197 0.287 0.386 0.493 0.609 0.733 0.863 1.000
4.175 -0.958 -0.950 -0.942 -0.934 -0.925 -0.916 -0.905 -0.891 -0.872 -0.846 -0.811 -0.761 -0.698 -0.620 -0.533 -0.440 -0.346 -0.255 -0.169 -0.092 -0.021 0.042 0.099 0.153 0.206 0.259 0.316 0.377 0.444 0.518 0.598 0.685 0.779 0.880 0.988 1.095 1.215
4.200 -0.957 -0.950 -0.943 -0.935 -0.926 -0.914 -0.901 -0.884 -0.862 -0.833 -0.794 -0.740 -0.670 -0.582 -0.480 -0.363 -0.240 -0.117 0.004 0.114 0.214 0.301 0.379 0.447 0.509 0.570 0.629 0.691 0.757 0.827 0.901 0.981 1.066 1.156 1.251 1.349 1.452
4.225 -0.957 -0.951 -0.944 -0.937 -0.927 -0.916 -0.901 -0.884 -0.861 -0.830 -0.789 -0.733 -0.660 -0.566 -0.454 -0.323 -0.182 -0.034 0.113 0.253 0.383 0.498 0.601 0.690 0.769 0.841 0.909 0.976 1.043 1.112 1.184 1.259 1.338 1.420 1.505 1.589 1.679
4.250 -0.955 -0.951 -0.945 -0.938 -0.929 -0.918 -0.904 -0.886 -0.863 -0.833 -0.792 -0.736 -0.662 -0.566 -0.450 -0.312 -0.159 0.006 0.174 0.339 0.497 0.640 0.770 0.884 0.985 1.073 1.154 1.229 1.301 1.373 1.445 1.518 1.593 1.669 1.747 1.826 1.906
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4.625 -0.643 -0.636 -0.628 -0.618 -0.606 -0.590 -0.567 -0.535 -0.491 -0.431 -0.352 -0.250 -0.127 0.018 0.177 0.346 0.517 0.683 0.844 0.993 1.137 1.276 1.416 1.563 1.719 1.889 2.071 2.266 2.466 2.670 2.872 3.068 3.253 3.423 3.576 3.707 3.815
4.650 -0.642 -0.635 -0.627 -0.618 -0.607 -0.591 -0.569 -0.540 -0.499 -0.442 -0.366 -0.265 -0.141 0.009 0.179 0.365 0.558 0.749 0.936 1.108 1.270 1.420 1.563 1.704 1.848 2.002 2.166 2.343 2.528 2.721 2.916 3.109 3.295 3.470 3.629 3.765 3.880
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4.750 -0.647 -0.638 -0.629 -0.619 -0.607 -0.593 -0.574 -0.551 -0.519 -0.474 -0.413 -0.330 -0.224 -0.090 0.069 0.255 0.462 0.687 0.925 1.170 1.416 1.656 1.885 2.097 2.292 2.467 2.629 2.780 2.927 3.074 3.224 3.380 3.538 3.696 3.849 3.988 4.117
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4.825 -0.636 -0.627 -0.618 -0.608 -0.597 -0.583 -0.567 -0.546 -0.517 -0.478 -0.425 -0.353 -0.261 -0.144 -0.002 0.165 0.355 0.565 0.793 1.034 1.285 1.544 1.805 2.064 2.316 2.555 2.779 2.982 3.169 3.338 3.495 3.644 3.785 3.922 4.053 4.177 4.297
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4.925 -0.591 -0.585 -0.578 -0.569 -0.558 -0.544 -0.527 -0.506 -0.479 -0.445 -0.398 -0.337 -0.257 -0.154 -0.029 0.121 0.293 0.486 0.698 0.925 1.165 1.415 1.673 1.937 2.203 2.468 2.730 2.983 3.226 3.454 3.666 3.858 4.031 4.186 4.324 4.446 4.552
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4.975 -0.547 -0.544 -0.539 -0.532 -0.522 -0.509 -0.491 -0.470 -0.442 -0.407 -0.362 -0.303 -0.228 -0.131 -0.012 0.132 0.298 0.486 0.692 0.915 1.151 1.398 1.653 1.915 2.180 2.445 2.707 2.966 3.217 3.458 3.686 3.898 4.091 4.265 4.419 4.551 4.663
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5.025 -0.484 -0.481 -0.477 -0.472 -0.463 -0.451 -0.435 -0.413 -0.385 -0.351 -0.306 -0.248 -0.175 -0.082 0.031 0.168 0.327 0.509 0.711 0.930 1.163 1.408 1.661 1.921 2.184 2.448 2.710 2.968 3.221 3.466 3.700 3.921 4.127 4.313 4.478 4.621 4.741
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5.075 -0.415 -0.408 -0.400 -0.392 -0.382 -0.369 -0.353 -0.332 -0.304 -0.270 -0.226 -0.169 -0.097 -0.008 0.101 0.232 0.384 0.559 0.753 0.966 1.195 1.437 1.688 1.946 2.209 2.471 2.732 2.989 3.240 3.484 3.718 3.940 4.147 4.336 4.504 4.648 4.770
5.100 -0.387 -0.375 -0.363 -0.351 -0.338 -0.323 -0.305 -0.284 -0.256 -0.222 -0.178 -0.121 -0.049 0.040 0.147 0.275 0.423 0.594 0.784 0.993 1.218 1.457 1.707 1.964 2.226 2.488 2.748 3.003 3.253 3.494 3.726 3.945 4.150 4.337 4.503 4.645 4.763
5.125 -0.365 -0.349 -0.332 -0.316 -0.299 -0.280 -0.258 -0.234 -0.204 -0.169 -0.124 -0.067 0.005 0.093 0.198 0.324 0.469 0.635 0.821 1.025 1.246 1.482 1.729 1.985 2.245 2.506 2.764 3.017 3.264 3.502 3.730 3.946 4.146 4.329 4.491 4.628 4.742
5.150 -0.351 -0.331 -0.309 -0.288 -0.266 -0.242 -0.216 -0.187 -0.154 -0.115 -0.068 -0.010 0.062 0.150 0.254 0.378 0.520 0.682 0.863 1.063 1.279 1.511 1.755 2.008 2.265 2.523 2.779 3.029 3.272 3.505 3.728 3.939 4.134 4.311 4.468 4.600 4.708
5.175 -0.346 -0.321 -0.296 -0.269 -0.242 -0.212 -0.181 -0.147 -0.109 -0.065 -0.014 0.048 0.122 0.211 0.315 0.437 0.576 0.734 0.911 1.105 1.317 1.544 1.783 2.032 2.286 2.540 2.792 3.037 3.274 3.501 3.717 3.921 4.110 4.281 4.432 4.560 4.664
5.200 -0.350 -0.321 -0.292 -0.261 -0.228 -0.194 -0.157 -0.117 -0.073 -0.023 0.035 0.102 0.179 0.270 0.376 0.497 0.634 0.788 0.960 1.150 1.356 1.578 1.812 2.056 2.305 2.554 2.800 3.038 3.268 3.488 3.696 3.892 4.074 4.239 4.385 4.508 4.609
5.225 -0.362 -0.332 -0.299 -0.264 -0.227 -0.188 -0.145 -0.099 -0.048 0.008 0.072 0.145 0.228 0.324 0.432 0.553 0.689 0.841 1.009 1.194 1.395 1.611 1.840 2.078 2.321 2.563 2.802 3.032 3.253 3.464 3.663 3.851 4.026 4.186 4.328 4.449 4.549
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5.275 -0.417 -0.386 -0.351 -0.312 -0.268 -0.220 -0.167 -0.108 -0.044 0.027 0.105 0.192 0.289 0.396 0.513 0.641 0.779 0.929 1.091 1.268 1.459 1.665 1.882 2.108 2.337 2.564 2.785 2.995 3.195 3.385 3.566 3.738 3.901 4.052 4.188 4.308 4.410
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5.325 -0.502 -0.475 -0.443 -0.405 -0.360 -0.308 -0.248 -0.180 -0.104 -0.021 0.071 0.173 0.285 0.406 0.537 0.675 0.821 0.974 1.137 1.310 1.493 1.690 1.896 2.109 2.324 2.533 2.735 2.925 3.104 3.275 3.438 3.598 3.751 3.897 4.032 4.153 4.260
5.350 -0.547 -0.524 -0.494 -0.459 -0.416 -0.365 -0.305 -0.235 -0.156 -0.068 0.030 0.138 0.257 0.386 0.524 0.669 0.821 0.979 1.143 1.316 1.498 1.691 1.891 2.098 2.305 2.507 2.700 2.880 3.050 3.212 3.369 3.523 3.673 3.817 3.952 4.074 4.182
5.375 -0.588 -0.568 -0.542 -0.511 -0.472 -0.424 -0.367 -0.298 -0.219 -0.129 -0.027 0.087 0.213 0.350 0.496 0.649 0.808 0.971 1.139 1.313 1.494 1.684 1.879 2.080 2.280 2.473 2.659 2.831 2.993 3.148 3.298 3.448 3.594 3.737 3.873 3.997 4.109
5.400 -0.622 -0.607 -0.585 -0.559 -0.525 -0.482 -0.429 -0.364 -0.287 -0.197 -0.094 0.024 0.155 0.300 0.454 0.615 0.782 0.951 1.125 1.301 1.482 1.670 1.861 2.056 2.249 2.436 2.614 2.778 2.934 3.083 3.228 3.373 3.517 3.659 3.795 3.921 4.039
5.425 -0.647 -0.635 -0.618 -0.596 -0.568 -0.531 -0.484 -0.426 -0.355 -0.269 -0.168 -0.049 0.085 0.235 0.397 0.567 0.743 0.920 1.100 1.281 1.464 1.650 1.838 2.028 2.215 2.395 2.566 2.724 2.874 3.018 3.159 3.301 3.442 3.583 3.719 3.846 3.965
5.450 -0.665 -0.656 -0.643 -0.626 -0.603 -0.573 -0.533 -0.483 -0.419 -0.340 -0.243 -0.127 0.008 0.163 0.331 0.509 0.694 0.880 1.068 1.254 1.439 1.626 1.812 1.997 2.179 2.353 2.518 2.670 2.815 2.954 3.091 3.230 3.370 3.509 3.645 3.771 3.890
5.475 -0.675 -0.670 -0.660 -0.647 -0.630 -0.606 -0.573 -0.530 -0.475 -0.404 -0.314 -0.203 -0.070 0.085 0.257 0.442 0.636 0.832 1.028 1.220 1.410 1.598 1.782 1.965 2.142 2.310 2.470 2.617 2.757 2.892 3.026 3.163 3.301 3.439 3.574 3.699 3.817
5.500 -0.681 -0.678 -0.671 -0.662 -0.649 -0.630 -0.604 -0.569 -0.522 -0.460 -0.379 -0.275 -0.148 0.005 0.179 0.371 0.572 0.777 0.983 1.182 1.377 1.567 1.751 1.931 2.104 2.268 2.422 2.565 2.701 2.832 2.963 3.099 3.235 3.373 3.506 3.629 3.744
5.525 -0.684 -0.682 -0.677 -0.671 -0.662 -0.648 -0.627 -0.599 -0.560 -0.507 -0.435 -0.340 -0.220 -0.070 0.102 0.297 0.505 0.719 0.933 1.141 1.342 1.534 1.719 1.897 2.066 2.226 2.376 2.515 2.647 2.775 2.903 3.037 3.173 3.310 3.443 3.564 3.676
5.550 -0.685 -0.683 -0.680 -0.676 -0.670 -0.660 -0.644 -0.622 -0.590 -0.546 -0.483 -0.397 -0.285 -0.142 0.027 0.223 0.435 0.656 0.879 1.095 1.303 1.499 1.685 1.862 2.029 2.185 2.331 2.466 2.595 2.721 2.846 2.979 3.114 3.251 3.383 3.502 3.610
5.575 -0.686 -0.685 -0.683 -0.680 -0.676 -0.668 -0.656 -0.639 -0.613 -0.575 -0.521 -0.445 -0.343 -0.209 -0.045 0.149 0.363 0.590 0.821 1.045 1.261 1.462 1.651 1.827 1.992 2.145 2.288 2.420 2.547 2.670 2.793 2.924 3.058 3.194 3.325 3.442 3.550
5.600 -0.688 -0.687 -0.685 -0.683 -0.679 -0.673 -0.664 -0.650 -0.629 -0.598 -0.552 -0.486 -0.394 -0.269 -0.113 0.077 0.290 0.521 0.759 0.991 1.215 1.422 1.614 1.792 1.956 2.106 2.246 2.377 2.501 2.622 2.744 2.873 3.005 3.139 3.268 3.386 3.493
5.625 -0.689 -0.688 -0.687 -0.685 -0.682 -0.677 -0.669 -0.658 -0.641 -0.615 -0.576 -0.519 -0.437 -0.323 -0.177 0.006 0.217 0.450 0.692 0.932 1.165 1.378 1.576 1.755 1.919 2.069 2.207 2.335 2.457 2.577 2.697 2.825 2.955 3.087 3.214 3.330 3.437
5.650 -0.690 -0.689 -0.688 -0.686 -0.683 -0.679 -0.673 -0.664 -0.649 -0.628 -0.595 -0.546 -0.474 -0.371 -0.236 -0.061 0.143 0.376 0.622 0.869 1.110 1.331 1.535 1.718 1.883 2.032 2.169 2.295 2.416 2.535 2.654 2.780 2.908 3.037 3.162 3.276 3.381
5.675 -0.691 -0.690 -0.689 -0.687 -0.685 -0.681 -0.675 -0.667 -0.655 -0.637 -0.609 -0.567 -0.504 -0.413 -0.289 -0.125 0.072 0.301 0.548 0.801 1.049 1.279 1.491 1.678 1.847 1.996 2.132 2.258 2.378 2.495 2.614 2.737 2.863 2.989 3.111 3.223 3.327
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8.400 -0.890 -0.881 -0.874 -0.871 -0.869 -0.869 -0.869 -0.869 -0.869 -0.869 -0.869 -0.869 -0.868 -0.868 -0.868 -0.868 -0.866 -0.864 -0.861 -0.863 -0.866 -0.870 -0.877 -0.887 -0.897 -0.893 -0.908 -0.990 -1.081 -1.133 -1.168 -1.194 -1.212 -1.225 -1.234 -1.155 -1.158
8.500 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.906 -0.905 -0.904 -0.903 -0.901 -0.901 -0.904 -0.909 -0.916 -0.927 -0.943 -0.960 -0.955 -0.983 -1.120 -1.273 -1.359 -1.418 -1.461 -1.491 -1.512 -1.527 -1.538 -1.545
8.600 -0.816 -0.874 -0.914 -0.937 -0.942 -0.947 -0.946 -0.947 -0.947 -0.947 -0.947 -0.947 -0.947 -0.946 -0.946 -0.945 -0.944 -0.944 -0.944 -0.948 -0.956 -0.967 -0.981 -1.001 -1.027 -1.050 -1.073 -1.165 -1.303 -1.374 -1.417 -1.453 -1.475 -1.493 -1.503 -1.512 -1.518
8.700 -0.642 -0.797 -0.905 -0.965 -0.978 -0.992 -0.990 -0.992 -0.991 -0.991 -0.991 -0.991 -0.991 -0.991 -0.990 -0.990 -0.990 -0.990 -0.990 -0.996 -1.006 -1.020 -1.039 -1.065 -1.098 -1.134 -1.175 -1.199 -1.214 -1.226 -1.233 -1.239 -1.242 -1.245 -1.247 -1.249 -1.250
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