Title: Ab Initio Equation of State Calculations of Hydrogen-Helium Mixtures and Application to the Mass-Radius Relationship of Solar and Extrasolar Giant Planets Authors: B. Militzer, W. B. Hubbard Table: Coefficients of Free Energy Fit for the equation of state ================================================================================ Byte-by-byte Description of file: EOS.txt -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 4 F4.2 atomic units rs Density parameter 6- 13 F8.6 gcm-3 rho Mass density 15- 19 F5.0 K T Temperature 21- 29 F9.3 GPa P Pressure 31- 35 F5.3 GPa e_label Pressure error bar 37- 47 F9.3 Hartree E Internal energy per electron 49- 58 F5.3 Hartree e_label Internal energy error bar 60- 70 F9.3 Hartree F Helmholtz free energy per electron 72- 81 F5.3 Hartree e_label Helmholtz free energy error bar 83- 93 F9.3 atomic units S Entropy in k_b per electron 95- 104 F5.3 atomic units e_label Entropy error bar -------------------------------------------------------------------------------- This table contains the pressure, internal energy, entropy, and free energy from our ab initio simulations a hydrogen-helium mixture of a solar-type composition with 18 heliums in 220 hydrogen (helium mass fraction Y=0.245). The density parameter rs is given by 4/3*pi*rs^3=V/N_e where N_e is total number of electrons in volume V. The number density of electrons is nn=N_e/V. The fit uses atomic units: rs is given Bohr radii = 5.29177208607e-11 m F and E are given in Hartree/electron = 4.35974380267e-18 J S is given in k_b/electron where k_b is Boltzmann's constant. The zero of energy was set to state of isolated, neutral atoms at rest, which is constistent with the convention in the VASP simulation code. The groundstate energy is the isolate hydrogen molecule using PBE including zero-point energy then becomes -0.2386100 Hartree per molecule. -------------------------------------------------------------------------------- 0.70 8.965839 1000 17233.714 0.392 0.65674488 0.00002621 0.70 8.965839 2000 17367.588 0.410 0.66665500 0.00003608 0.70 8.965839 3000 17490.024 0.457 0.67573711 0.00005733 0.70 8.965839 4000 17604.217 0.337 0.68434546 0.00005919 0.70 8.965839 5000 17713.947 0.345 0.69251043 0.00003270 0.64123739 0.00000743 3.23814555 0.00253457 0.70 8.965839 6000 17820.614 0.578 0.70035787 0.00006164 0.70 8.965839 7000 17924.217 0.731 0.70789362 0.00004929 0.70 8.965839 8000 18024.874 0.662 0.71521040 0.00005448 0.70 8.965839 9000 18125.690 0.459 0.72253245 0.00003620 0.70 8.965839 10000 18224.071 0.792 0.72964767 0.00006036 0.57565836 0.00000472 4.86259229 0.00205495 0.70 8.965839 12000 18418.431 1.108 0.74365952 0.00008277 0.70 8.965839 15000 18699.744 0.766 0.76402665 0.00005202 0.49156940 0.00000509 5.73567305 0.00120215 0.70 8.965839 17000 18886.216 1.697 0.77752228 0.00011470 0.70 8.965839 20000 19159.372 0.986 0.79721271 0.00007231 0.39562295 0.00000420 6.34059360 0.00120801 0.70 8.965839 21000 19250.241 1.210 0.80383353 0.00008693 0.70 8.965839 22000 19338.041 0.888 0.81012805 0.00006182 0.70 8.965839 23000 19430.525 1.711 0.81680575 0.00011409 0.70 8.965839 24000 19518.357 1.487 0.82316908 0.00009948 0.70 8.965839 25000 19608.909 2.172 0.82970761 0.00015234 0.70 8.965839 26000 19695.988 1.973 0.83601900 0.00012182 0.70 8.965839 27000 19786.021 2.844 0.84247206 0.00018577 0.70 8.965839 28000 19873.870 2.507 0.84883188 0.00017096 0.70 8.965839 29000 19961.196 1.554 0.85514338 0.00011454 0.70 8.965839 30000 20052.717 1.414 0.86176979 0.00010027 0.18183343 0.00000381 7.15688911 0.00109551 0.70 8.965839 32000 20225.902 2.107 0.87432560 0.00014233 0.70 8.965839 35000 20488.038 1.519 0.89328967 0.00010829 0.70 8.965839 40000 20925.883 1.310 0.92498930 0.00009461 -0.05443115 0.00000348 7.73190401 0.00077431 0.70 8.965839 45000 21352.730 3.926 0.95591422 0.00027362 0.70 8.965839 50000 21770.196 2.805 0.98633893 0.00019622 0.70 8.965839 55000 22203.188 4.057 1.01782181 0.00026181 0.70 8.965839 60000 22633.976 2.666 1.04921630 0.00016146 -0.56992366 0.00000492 8.52138951 0.00087564 0.70 8.965839 65000 23064.923 5.909 1.08072555 0.00038373 0.70 8.965839 70000 23494.099 3.367 1.11204400 0.00022266 0.70 8.965839 75000 23924.651 2.568 1.14345046 0.00017236 0.70 8.965839 80000 24356.621 2.928 1.17502286 0.00019420 -1.12963976 0.00000468 9.09692574 0.00078503 0.80 6.006411 1000 7859.051 0.154 0.37844458 0.00001854 0.80 6.006411 2000 7947.931 0.277 0.38761405 0.00003959 0.80 6.006411 3000 8025.444 0.449 0.39691807 0.00004093 0.80 6.006411 4000 8099.338 0.312 0.40504881 0.00006462 0.80 6.006411 5000 8170.312 0.397 0.41279836 0.00003805 0.35151953 0.00001197 3.87006018 0.00315906 0.80 6.006411 6000 8239.729 0.539 0.42040578 0.00005220 0.80 6.006411 7000 8307.627 0.385 0.42766063 0.00004926 0.80 6.006411 8000 8373.557 0.603 0.43468970 0.00005419 0.80 6.006411 9000 8436.899 0.567 0.44160350 0.00006214 0.80 6.006411 10000 8502.131 0.490 0.44855264 0.00005187 0.27625093 0.00000788 5.44085153 0.00188670 0.80 6.006411 12000 8628.911 0.933 0.46214125 0.00010430 0.80 6.006411 15000 8815.008 0.690 0.48205196 0.00006159 0.18293902 0.00000669 6.29681934 0.00143755 0.80 6.006411 17000 8933.722 0.871 0.49478118 0.00008751 0.80 6.006411 20000 9115.412 1.041 0.51423166 0.00010789 0.07850287 0.00000807 6.87960547 0.00183089 0.80 6.006411 21000 9173.021 1.288 0.52041709 0.00013421 0.80 6.006411 22000 9235.195 0.674 0.52707400 0.00007226 0.80 6.006411 23000 9292.030 1.271 0.53314361 0.00012316 0.80 6.006411 24000 9352.384 1.190 0.53964706 0.00011712 0.80 6.006411 25000 9410.561 1.620 0.54591426 0.00015793 0.80 6.006411 26000 9471.272 0.927 0.55241099 0.00011048 0.80 6.006411 27000 9527.037 1.811 0.55841649 0.00017115 0.80 6.006411 28000 9584.627 2.362 0.56462663 0.00023382 0.80 6.006411 29000 9644.404 1.268 0.57107196 0.00013279 0.80 6.006411 30000 9702.227 1.326 0.57727336 0.00012616 -0.15284447 0.00000675 7.68509039 0.00139897 0.80 6.006411 32000 9819.955 1.902 0.58991197 0.00019366 0.80 6.006411 35000 9992.162 1.767 0.60851411 0.00017045 0.80 6.006411 40000 10280.129 1.075 0.63970557 0.00011633 -0.40562488 0.00000658 8.25222174 0.00097034 0.80 6.006411 45000 10569.760 3.322 0.67103680 0.00033638 0.80 6.006411 50000 10848.837 2.309 0.70134094 0.00023395 0.80 6.006411 55000 11143.631 3.338 0.73341679 0.00034608 0.80 6.006411 60000 11427.344 2.095 0.76437409 0.00021900 -0.95518416 0.00000646 9.04988206 0.00118653 0.80 6.006411 65000 11720.525 2.038 0.79625080 0.00019797 0.80 6.006411 70000 12009.606 2.193 0.82787354 0.00021245 0.80 6.006411 75000 12295.670 3.221 0.85923080 0.00031636 0.80 6.006411 80000 12584.829 2.223 0.89092058 0.00021738 -1.54719377 0.00000672 9.62368416 0.00088455 0.90 4.218495 1000 3846.685 0.180 0.21049398 0.00002105 0.90 4.218495 2000 3909.504 0.167 0.21937939 0.00008097 0.90 4.218495 3000 3964.126 0.345 0.22783108 0.00006558 0.90 4.218495 4000 4015.137 0.286 0.23591886 0.00007570 0.90 4.218495 5000 4064.452 0.249 0.24343262 0.00003834 0.17308775 0.00002393 4.44262507 0.00393268 0.90 4.218495 6000 4112.265 0.418 0.25052521 0.00002357 0.90 4.218495 7000 4159.635 0.356 0.25764202 0.00007618 0.90 4.218495 8000 4205.602 0.384 0.26451081 0.00004046 0.90 4.218495 9000 4250.758 0.376 0.27120488 0.00005098 0.90 4.218495 10000 4296.289 0.549 0.27792080 0.00008616 0.08922334 0.00002305 5.95858743 0.00344880 0.90 4.218495 11000 4339.483 0.408 0.28448155 0.00005594 0.90 4.218495 12000 4383.070 0.419 0.29098109 0.00006823 0.90 4.218495 13000 4426.845 0.496 0.29749611 0.00006772 0.90 4.218495 14000 4468.897 0.513 0.30383809 0.00006298 0.90 4.218495 15000 4512.504 0.532 0.31038337 0.00007201 -0.01227526 0.00001540 6.79249453 0.00184018 0.90 4.218495 16000 4554.517 0.793 0.31663391 0.00009925 0.90 4.218495 17000 4598.119 0.736 0.32318664 0.00009793 0.90 4.218495 18000 4639.546 0.732 0.32943809 0.00009366 0.90 4.218495 19000 4680.458 0.750 0.33561335 0.00009891 0.90 4.218495 20000 4723.118 0.528 0.34207487 0.00006509 -0.12437626 0.00001043 7.36467229 0.00119238 0.90 4.218495 21000 4763.781 0.852 0.34820088 0.00010302 0.90 4.218495 22000 4805.304 0.725 0.35448916 0.00010089 0.90 4.218495 23000 4846.696 0.766 0.36079147 0.00010098 0.90 4.218495 24000 4887.183 0.880 0.36691714 0.00011707 0.90 4.218495 25000 4928.282 0.826 0.37313338 0.00009837 0.90 4.218495 26000 4970.638 0.752 0.37952219 0.00009286 0.90 4.218495 27000 5009.480 0.656 0.38547416 0.00009005 0.90 4.218495 28000 5051.048 0.762 0.39180978 0.00010657 0.90 4.218495 29000 5092.106 0.817 0.39804621 0.00010750 0.90 4.218495 30000 5132.330 0.991 0.40418952 0.00012715 -0.37108175 0.00000944 8.16036749 0.00143780 0.90 4.218495 32000 5214.132 0.801 0.41666054 0.00011013 0.90 4.218495 35000 5335.459 0.806 0.43527025 0.00011229 0.90 4.218495 40000 5536.413 0.855 0.46614031 0.00011776 -0.63844948 0.00000857 8.72003668 0.00099730 0.90 4.218495 45000 5735.770 1.736 0.49683438 0.00023657 0.90 4.218495 50000 5941.317 2.206 0.52855339 0.00030502 0.90 4.218495 55000 6140.899 1.985 0.55955486 0.00028800 0.90 4.218495 60000 6346.191 1.370 0.59136652 0.00020458 -1.21811642 0.00000749 9.52314770 0.00111611 0.90 4.218495 65000 6556.713 2.459 0.62406478 0.00033544 0.90 4.218495 70000 6761.259 2.816 0.65598241 0.00038228 0.90 4.218495 75000 6971.201 2.921 0.68863036 0.00040108 0.90 4.218495 80000 7180.446 1.447 0.72143205 0.00019226 -1.84043704 0.00000709 10.11216679 0.00078688 1.00 3.075283 500 1957.810 0.172 0.10046763 0.00000987 1.00 3.075283 1000 1982.452 0.106 0.10561904 0.00001792 1.00 3.075283 2000 2027.496 0.166 0.11438360 0.00007335 1.00 3.075283 3000 2067.598 0.190 0.12243503 0.00007445 1.00 3.075283 4000 2105.762 0.207 0.13011146 0.00004644 1.00 3.075283 5000 2141.542 0.217 0.13725849 0.00002753 0.05894685 0.00001588 4.94576660 0.00274134 1.00 3.075283 6000 2175.926 0.301 0.14414571 0.00006739 1.00 3.075283 7000 2210.501 0.232 0.15094343 0.00003812 1.00 3.075283 8000 2243.969 0.282 0.15768222 0.00003900 1.00 3.075283 9000 2277.030 0.257 0.16434028 0.00005429 1.00 3.075283 10000 2309.431 0.344 0.17068887 0.00006560 -0.03247747 0.00001239 6.41547821 0.00246287 1.00 3.075283 11000 2341.316 0.428 0.17714527 0.00008092 1.00 3.075283 12000 2372.033 0.440 0.18328552 0.00007071 1.00 3.075283 13000 2404.567 0.359 0.18986061 0.00005189 1.00 3.075283 14000 2436.049 0.475 0.19617380 0.00007357 1.00 3.075283 15000 2466.936 0.479 0.20250936 0.00007886 -0.14092752 0.00001222 7.22991110 0.00191747 1.00 3.075283 16000 2496.725 0.444 0.20856566 0.00007213 1.00 3.075283 17000 2528.087 0.474 0.21493064 0.00007933 1.00 3.075283 18000 2557.816 0.478 0.22097425 0.00008054 1.00 3.075283 19000 2588.002 0.592 0.22717634 0.00009011 1.00 3.075283 20000 2618.304 0.465 0.23337549 0.00007844 -0.26017896 0.00001046 7.79259944 0.00140368 1.00 3.075283 22000 2677.462 0.738 0.24558547 0.00012673 1.00 3.075283 24000 2737.618 0.684 0.25795315 0.00011784 1.00 3.075283 26000 2798.548 0.700 0.27049277 0.00012089 1.00 3.075283 28000 2857.443 0.775 0.28269467 0.00012843 1.00 3.075283 30000 2916.777 0.750 0.29508055 0.00013018 -0.52015297 0.00000814 8.58100290 0.00145587 1.00 3.075283 35000 3062.344 0.848 0.32556883 0.00014777 1.00 3.075283 40000 3210.354 0.776 0.35667953 0.00013271 -0.80122683 0.00000629 9.14093720 0.00109726 1.00 3.075283 45000 3357.409 1.258 0.38773843 0.00021471 1.00 3.075283 50000 3509.103 1.184 0.41977682 0.00020795 1.00 3.075283 55000 3661.107 1.646 0.45209607 0.00028354 1.00 3.075283 60000 3808.612 0.868 0.48364302 0.00015554 -1.40742470 0.00000565 9.95252113 0.00084832 1.00 3.075283 65000 3961.744 1.618 0.51636834 0.00028601 1.00 3.075283 70000 4116.392 2.362 0.54948802 0.00043195 1.00 3.075283 75000 4268.618 1.185 0.58243107 0.00021037 1.00 3.075283 80000 4427.411 0.890 0.61649991 0.00016147 -2.05755319 0.00000459 10.55497763 0.00065549 1.10 2.310505 500 1043.139 0.128 0.03389351 0.00001812 1.10 2.310505 1000 1061.258 0.096 0.03903011 0.00002300 1.10 2.310505 2000 1094.850 0.126 0.04722544 0.00007719 1.10 2.310505 3000 1124.930 0.116 0.05473091 0.00008050 1.10 2.310505 4000 1153.321 0.168 0.06198918 0.00007353 1.10 2.310505 5000 1180.631 0.218 0.06925999 0.00005927 -0.01620891 0.00001072 5.39778248 0.00442024 1.10 2.310505 6000 1206.509 0.233 0.07597080 0.00005863 1.10 2.310505 7000 1231.929 0.225 0.08260125 0.00005381 1.10 2.310505 8000 1257.301 0.260 0.08905195 0.00006605 1.10 2.310505 9000 1281.348 0.215 0.09539143 0.00005464 1.10 2.310505 10000 1304.978 0.193 0.10164724 0.00003719 -0.11440002 0.00000729 6.82222496 0.00140470 1.10 2.310505 11000 1329.637 0.420 0.10804144 0.00008558 1.10 2.310505 12000 1352.765 0.359 0.11418401 0.00008077 1.10 2.310505 13000 1376.156 0.261 0.12040106 0.00006671 1.10 2.310505 14000 1399.572 0.449 0.12659927 0.00007230 1.10 2.310505 15000 1423.009 0.368 0.13281763 0.00008872 -0.22921025 0.00000695 7.62128196 0.00201405 1.10 2.310505 16000 1445.310 0.453 0.13885730 0.00009814 1.10 2.310505 17000 1468.872 0.411 0.14511554 0.00008324 1.10 2.310505 18000 1490.958 0.352 0.15107301 0.00007376 1.10 2.310505 19000 1513.857 0.388 0.15724316 0.00007988 1.10 2.310505 20000 1535.552 0.330 0.16323279 0.00006605 -0.35446616 0.00000602 8.17381038 0.00113781 1.10 2.310505 22000 1581.688 0.535 0.17560174 0.00011262 1.10 2.310505 24000 1626.064 0.345 0.18777695 0.00007181 1.10 2.310505 26000 1669.589 0.358 0.19971560 0.00006550 1.10 2.310505 28000 1715.253 0.577 0.21219052 0.00012737 1.10 2.310505 30000 1759.382 0.379 0.22446641 0.00007180 -0.62651776 0.00000809 8.95730798 0.00084083 1.10 2.310505 35000 1870.289 0.526 0.25525595 0.00011804 1.10 2.310505 40000 1981.685 0.486 0.28644762 0.00010310 -0.91955819 0.00000950 9.52065188 0.00088890 1.10 2.310505 45000 2094.048 0.632 0.31804550 0.00014741 1.10 2.310505 50000 2209.361 0.488 0.35058191 0.00010534 1.10 2.310505 55000 2322.636 0.566 0.38277963 0.00012145 1.10 2.310505 60000 2437.149 0.648 0.41549401 0.00014220 -1.55012370 0.00000715 10.34487108 0.00078599 1.10 2.310505 65000 2553.306 1.310 0.44878454 0.00029607 1.10 2.310505 70000 2673.925 0.685 0.48314539 0.00014541 1.10 2.310505 75000 2790.250 0.971 0.51683995 0.00023940 1.10 2.310505 80000 2911.097 0.814 0.55164032 0.00018427 -2.22575530 0.00001192 10.96288949 0.00077438 1.20 1.779677 4000 654.254 0.141 0.01817405 0.00007491 1.20 1.779677 5000 675.014 0.144 0.02513230 0.00004883 -0.06686434 0.00002102 5.81004135 0.00441152 1.20 1.779677 6000 695.173 0.145 0.03168662 0.00005069 1.20 1.779677 7000 714.504 0.315 0.03811409 0.00006415 1.20 1.779677 8000 733.192 0.226 0.04440051 0.00005345 1.20 1.779677 9000 751.793 0.265 0.05055930 0.00005227 1.20 1.779677 10000 770.072 0.263 0.05673806 0.00005423 -0.17119410 0.00001848 7.19752006 0.00229599 1.20 1.779677 11000 788.193 0.253 0.06286934 0.00006004 1.20 1.779677 12000 806.980 0.340 0.06911858 0.00007989 1.20 1.779677 13000 824.516 0.177 0.07511486 0.00005500 1.20 1.779677 14000 841.881 0.279 0.08102977 0.00008162 1.20 1.779677 15000 859.783 0.329 0.08720070 0.00006852 -0.29177111 0.00001561 7.97797970 0.00177125 1.20 1.779677 16000 877.782 0.384 0.09341442 0.00010527 1.20 1.779677 17000 894.331 0.304 0.09922627 0.00006707 1.20 1.779677 18000 911.717 0.443 0.10528100 0.00011038 1.20 1.779677 19000 928.601 0.221 0.11114083 0.00005088 1.20 1.779677 20000 946.627 0.328 0.11742196 0.00007621 -0.42255092 0.00001725 8.52548770 0.00147564 1.20 1.779677 22000 980.424 0.270 0.12937923 0.00004633 1.20 1.779677 24000 1015.140 0.439 0.14156922 0.00011491 1.20 1.779677 26000 1049.710 0.481 0.15384040 0.00012464 1.20 1.779677 28000 1083.503 0.324 0.16596326 0.00008164 1.20 1.779677 30000 1117.590 0.425 0.17819643 0.00011358 -0.70577555 0.00001370 9.30453175 0.00133969 1.20 1.779677 35000 1203.955 0.416 0.20934989 0.00010893 1.20 1.779677 40000 1289.579 0.627 0.24065918 0.00015079 -1.00967972 0.00001319 9.87063357 0.00129446 1.20 1.779677 45000 1378.138 0.753 0.27299096 0.00020256 1.20 1.779677 50000 1464.918 0.532 0.30512906 0.00014318 1.20 1.779677 55000 1555.131 0.530 0.33852646 0.00015846 1.20 1.779677 60000 1645.006 0.817 0.37203293 0.00022210 -1.66298133 0.00001487 10.71009895 0.00124715 1.20 1.779677 65000 1737.699 0.923 0.40655817 0.00026681 1.20 1.779677 70000 1829.595 0.863 0.44105345 0.00024347 1.20 1.779677 75000 1922.645 1.192 0.47610086 0.00034438 1.20 1.779677 80000 2016.184 0.876 0.51150748 0.00022739 -2.36212758 0.00001403 11.34276420 0.00095291 1.30 1.399765 5000 398.374 0.157 -0.00370520 0.00004978 -0.10159981 0.00001598 6.18252742 0.00415315 1.30 1.399765 6000 413.837 0.228 0.00273102 0.00007250 1.30 1.399765 7000 427.848 0.304 0.00874453 0.00006624 1.30 1.399765 8000 443.510 0.343 0.01505164 0.00007293 1.30 1.399765 9000 458.322 0.121 0.02130391 0.00005783 1.30 1.399765 10000 471.596 0.183 0.02703464 0.00004919 -0.21153277 0.00002182 7.53335418 0.00224226 1.30 1.399765 11000 485.729 0.245 0.03306923 0.00009023 1.30 1.399765 12000 499.938 0.254 0.03917337 0.00005335 1.30 1.399765 13000 514.138 0.348 0.04524579 0.00009748 1.30 1.399765 14000 527.689 0.254 0.05111479 0.00008924 1.30 1.399765 15000 541.124 0.172 0.05707390 0.00006499 -0.33739038 0.00001984 8.30412164 0.00178588 1.30 1.399765 16000 554.346 0.207 0.06286618 0.00005870 1.30 1.399765 17000 568.128 0.332 0.06894753 0.00008995 1.30 1.399765 18000 582.078 0.201 0.07502014 0.00007549 1.30 1.399765 19000 595.311 0.253 0.08098502 0.00008621 1.30 1.399765 20000 608.957 0.345 0.08699288 0.00010058 -0.47325518 0.00002114 8.84560697 0.00192185 1.30 1.399765 25000 676.160 0.399 0.11717289 0.00011105 1.30 1.399765 30000 742.369 0.189 0.14760068 0.00007014 -0.76645938 0.00001604 9.62123350 0.00090714 1.30 1.399765 35000 810.819 0.348 0.17906989 0.00011072 1.30 1.399765 40000 879.208 0.283 0.21091109 0.00009845 -1.08069836 0.00001406 10.19643836 0.00088825 1.30 1.399765 50000 1019.194 0.443 0.27682417 0.00014533 1.30 1.399765 60000 1162.055 0.364 0.34490990 0.00012023 -1.75516818 0.00000869 11.05252403 0.00067851 1.30 1.399765 70000 1309.188 0.683 0.41552970 0.00021229 1.30 1.399765 80000 1460.222 0.404 0.48845670 0.00013283 -2.47643587 0.00001107 11.70297429 0.00056801 1.40 1.120730 5000 242.087 0.123 -0.02264968 0.00007605 -0.12586571 0.00003019 6.51860121 0.00670984 1.40 1.120730 6000 253.688 0.230 -0.01659670 0.00008874 1.40 1.120730 7000 265.733 0.176 -0.01026163 0.00005445 1.40 1.120730 8000 276.949 0.217 -0.00426395 0.00008680 1.40 1.120730 9000 288.048 0.198 0.00157821 0.00006525 1.40 1.120730 10000 299.562 0.124 0.00770764 0.00005082 -0.24084505 0.00002514 7.84866418 0.00239856 1.40 1.120730 11000 310.083 0.154 0.01345961 0.00006177 1.40 1.120730 12000 321.205 0.161 0.01932952 0.00005587 1.40 1.120730 13000 331.917 0.168 0.02521304 0.00005396 1.40 1.120730 14000 342.718 0.242 0.03114254 0.00006932 1.40 1.120730 15000 353.518 0.183 0.03697571 0.00005996 -0.37148447 0.00002494 8.59875840 0.00178723 1.40 1.120730 16000 364.638 0.237 0.04312564 0.00007904 1.40 1.120730 17000 375.595 0.352 0.04902474 0.00009744 1.40 1.120730 18000 385.508 0.125 0.05475530 0.00003959 1.40 1.120730 19000 396.606 0.228 0.06082065 0.00009518 1.40 1.120730 20000 407.295 0.168 0.06689994 0.00007378 -0.51213456 0.00002144 9.14222108 0.00150343 1.40 1.120730 25000 460.646 0.246 0.09697859 0.00009481 1.40 1.120730 30000 514.237 0.226 0.12784841 0.00008837 -0.81467249 0.00001608 9.92080724 0.00109947 1.40 1.120730 35000 568.740 0.224 0.15947895 0.00007891 1.40 1.120730 40000 623.839 0.211 0.19175487 0.00008101 -1.13834423 0.00001656 10.50028982 0.00077024 1.40 1.120730 50000 736.825 0.385 0.25885416 0.00015817 1.40 1.120730 60000 853.630 0.366 0.32883107 0.00014320 -1.83259662 0.00001837 11.37540162 0.00085029 1.40 1.120730 70000 971.645 0.570 0.40062882 0.00022613 1.40 1.120730 80000 1095.291 0.402 0.47574005 0.00017337 -2.57488584 0.00001794 12.04137942 0.00075512 1.50 0.911195 5000 151.757 0.162 -0.03527329 0.00005752 -0.14309664 0.00003663 6.80957670 0.00594602 1.50 0.911195 6000 160.656 0.105 -0.02910087 0.00005274 1.50 0.911195 7000 169.483 0.142 -0.02309644 0.00006018 1.50 0.911195 8000 178.336 0.140 -0.01714904 0.00004566 1.50 0.911195 9000 187.258 0.096 -0.01132364 0.00005777 1.50 0.911195 10000 195.665 0.140 -0.00546081 0.00004552 -0.26268362 0.00004316 8.12244452 0.00280026 1.50 0.911195 11000 204.512 0.213 0.00039916 0.00008770 1.50 0.911195 12000 212.961 0.247 0.00618392 0.00009493 1.50 0.911195 13000 221.959 0.260 0.01220350 0.00008105 1.50 0.911195 14000 230.683 0.285 0.01810747 0.00009470 1.50 0.911195 15000 239.025 0.169 0.02375441 0.00008073 -0.39764361 0.00004176 8.87112120 0.00257865 1.50 0.911195 16000 247.656 0.211 0.02968169 0.00007798 1.50 0.911195 17000 256.702 0.215 0.03574329 0.00008713 1.50 0.911195 18000 265.262 0.155 0.04178038 0.00009082 1.50 0.911195 19000 273.562 0.277 0.04753939 0.00010428 1.50 0.911195 20000 282.282 0.215 0.05353106 0.00006708 -0.54253743 0.00003123 9.41116618 0.00155223 1.50 0.911195 25000 325.455 0.261 0.08388089 0.00010145 1.50 0.911195 30000 369.249 0.115 0.11505404 0.00003856 -0.85371551 0.00002703 10.19709588 0.00069045 1.50 0.911195 35000 413.612 0.206 0.14711593 0.00007846 1.50 0.911195 40000 458.131 0.177 0.17961081 0.00007578 -1.18629643 0.00002195 10.78297237 0.00077151 1.50 0.911195 50000 550.006 0.484 0.24778695 0.00018605 1.50 0.911195 60000 646.504 0.193 0.31939409 0.00008789 -1.89913806 0.00001923 11.67593732 0.00056376 1.50 0.911195 70000 745.117 0.663 0.39361047 0.00026007 1.50 0.911195 80000 845.629 0.270 0.46979564 0.00010962 -2.66120147 0.00002004 12.35861940 0.00051182 1.60 0.750801 500 78.381 0.083 -0.08137230 0.00003675 1.60 0.750801 1000 82.551 0.075 -0.07706943 0.00003488 1.60 0.750801 2000 89.139 0.191 -0.06852237 0.00009108 1.60 0.750801 3000 88.025 0.229 -0.05807679 0.00007589 1.60 0.750801 4000 91.677 0.092 -0.05061928 0.00005196 1.60 0.750801 5000 98.012 0.096 -0.04399867 0.00006066 -0.15565238 0.00001898 7.05148205 0.00502940 1.60 0.750801 6000 104.799 0.138 -0.03771370 0.00007036 1.60 0.750801 7000 111.597 0.115 -0.03175123 0.00004793 1.60 0.750801 8000 118.604 0.154 -0.02568717 0.00006322 1.60 0.750801 9000 125.600 0.166 -0.01984389 0.00005822 1.60 0.750801 10000 132.487 0.099 -0.01399258 0.00004350 -0.27920568 0.00001528 8.37475747 0.00185618 1.60 0.750801 11000 139.502 0.173 -0.00815243 0.00005489 1.60 0.750801 12000 146.557 0.163 -0.00222133 0.00006449 1.60 0.750801 13000 153.222 0.169 0.00359820 0.00006782 1.60 0.750801 14000 159.952 0.147 0.00932481 0.00005684 1.60 0.750801 15000 167.344 0.153 0.01532109 0.00006427 -0.41812900 0.00001883 9.12483693 0.00174939 1.60 0.750801 16000 174.308 0.135 0.02116882 0.00007212 1.60 0.750801 17000 180.831 0.090 0.02698372 0.00006100 1.60 0.750801 18000 188.288 0.160 0.03311837 0.00008964 1.60 0.750801 19000 195.042 0.200 0.03891340 0.00008978 1.60 0.750801 20000 202.296 0.165 0.04502355 0.00005818 -0.56703063 0.00001841 9.66356017 0.00120930 1.60 0.750801 25000 237.287 0.196 0.07550270 0.00009563 1.60 0.750801 30000 273.271 0.148 0.10687724 0.00008276 -0.88632509 0.00001766 10.45427094 0.00105704 1.60 0.750801 35000 310.032 0.358 0.13943800 0.00016680 1.60 0.750801 40000 346.985 0.128 0.17241236 0.00006439 -1.22714269 0.00001504 11.04860048 0.00062706 1.60 0.750801 50000 424.790 0.400 0.24285693 0.00019928 1.60 0.750801 60000 503.664 0.142 0.31528993 0.00007355 -1.95770737 0.00000895 11.96258253 0.00043419 1.60 0.750801 70000 584.112 0.799 0.39044539 0.00037304 1.60 0.750801 80000 669.622 0.227 0.46891511 0.00011003 -2.73841275 0.00001330 12.65991082 0.00048681 1.75 0.573814 10000 77.747 0.132 -0.02174150 0.00004130 -0.29742953 0.00003649 8.70552921 0.00245655 1.75 0.573814 15000 103.298 0.087 0.00782603 0.00006416 -0.44171322 0.00002848 9.46354028 0.00195036 1.75 0.573814 20000 129.545 0.120 0.03786736 0.00004684 -0.59609351 0.00002440 10.00943883 0.00112473 1.75 0.573814 30000 183.668 0.131 0.10101134 0.00007823 -0.92651437 0.00002294 10.81555272 0.00106495 1.75 0.573814 35000 211.483 0.175 0.13409157 0.00009941 1.75 0.573814 40000 240.621 0.155 0.16850855 0.00008649 -1.28140335 0.00003510 11.44613598 0.00095987 1.75 0.573814 50000 299.396 0.146 0.24004100 0.00006907 1.75 0.573814 60000 360.803 0.157 0.31487943 0.00011469 -2.03404168 0.00001861 12.36216280 0.00070154 1.75 0.573814 70000 424.690 0.203 0.39335897 0.00012232 1.86 0.477910 1000 27.996 0.036 -0.08928651 0.00001912 -0.10095448 0.00000884 3.68442397 0.00882835 1.86 0.477910 2000 32.694 0.041 -0.08272672 0.00003339 -0.11519683 0.00005332 5.12654167 0.01369119 1.86 0.477910 3000 36.021 0.182 -0.07526861 0.00016197 -0.13255300 0.00004052 6.02967227 0.02131400 1.86 0.477910 5000 38.163 0.120 -0.05755244 0.00007278 -0.17565129 0.00003141 7.45858426 0.00658033 1.86 0.477910 7000 43.829 0.080 -0.04353752 0.00007908 -0.22580774 0.00002918 8.22233093 0.00488388 1.86 0.477910 10000 54.870 0.065 -0.02502257 0.00006898 -0.30745978 0.00002757 8.91865120 0.00304881 1.86 0.477910 15000 75.536 0.090 0.00485867 0.00007422 -0.45528883 0.00002090 9.68686130 0.00200236 1.86 0.477910 20000 96.981 0.077 0.03537824 0.00006627 -0.61319671 0.00002188 10.24017686 0.00139180 1.86 0.477910 30000 142.009 0.091 0.09946969 0.00009615 -0.95117665 0.00002868 11.05891635 0.00131389 1.86 0.477910 35000 165.225 0.178 0.13343319 0.00011665 1.86 0.477910 40000 189.183 0.174 0.16824924 0.00010650 -1.31165373 0.00001768 11.68289650 0.00098031 1.86 0.477910 50000 238.799 0.190 0.24133604 0.00009793 1.86 0.477910 60000 290.037 0.157 0.31758393 0.00010593 -2.08355293 0.00001706 12.63696961 0.00064727 2.00 0.384410 1000 16.443 0.023 -0.09207966 0.00001536 -0.10506078 0.00000653 4.09935440 0.00691166 2.00 0.384410 2000 19.799 0.045 -0.08665359 0.00002813 -0.12069995 0.00002760 5.37540582 0.00879905 2.00 0.384410 3000 22.877 0.042 -0.07969629 0.00003353 -0.13888827 0.00003858 6.23038508 0.00759062 2.00 0.384410 5000 25.739 0.081 -0.06295035 0.00015183 -0.18270729 0.00004174 7.56322815 0.01222475 2.00 0.384410 7000 28.881 0.096 -0.04714940 0.00015039 -0.23378930 0.00002831 8.41945027 0.00806136 2.00 0.384410 10000 36.873 0.103 -0.02767942 0.00010911 -0.31760088 0.00004916 9.15498510 0.00499770 2.00 0.384410 15000 52.890 0.101 0.00333757 0.00006509 -0.46929264 0.00004026 9.94964289 0.00221793 2.00 0.384410 20000 69.924 0.114 0.03441581 0.00008850 -0.63153772 0.00002967 10.51456252 0.00186586 2.00 0.384410 30000 105.892 0.119 0.09984087 0.00009165 -0.97842902 0.00002174 11.34967697 0.00119349 2.00 0.384410 35000 124.350 0.087 0.13445480 0.00007723 2.00 0.384410 40000 143.952 0.143 0.17057490 0.00012335 -1.34837583 0.00001883 11.99115378 0.00112241 2.00 0.384410 50000 184.232 0.101 0.24566945 0.00007023 2.10 0.332068 1000 11.228 0.036 -0.09395294 0.00002458 2.10 0.332068 2000 14.328 0.021 -0.08862833 0.00002670 -0.12367802 0.00000997 5.53381415 0.00579005 2.10 0.332068 3000 16.422 0.030 -0.08189958 0.00003519 -0.14210982 0.00004103 6.33759949 0.00802334 2.10 0.332068 5000 19.969 0.090 -0.06627066 0.00012637 -0.18654863 0.00004441 7.59612512 0.01078534 2.10 0.332068 7000 22.491 0.101 -0.04945973 0.00014397 -0.23836121 0.00002990 8.52147174 0.00784354 2.10 0.332068 10000 28.751 0.076 -0.02850585 0.00008979 2.10 0.332068 15000 42.146 0.088 0.00298873 0.00006081 2.10 0.332068 20000 56.590 0.066 0.03460115 0.00005994 2.10 0.332068 30000 87.497 0.097 0.10130830 0.00009613 2.10 0.332068 40000 120.625 0.100 0.17329361 0.00010928 2.10 0.332068 50000 155.499 0.099 0.24972852 0.00009106 2.20 0.288813 1000 8.049 0.018 -0.09518277 0.00001059 -0.10935143 0.00000415 4.47423819 0.00465502 2.20 0.288813 2000 10.001 0.055 -0.09006915 0.00003302 -0.12594158 0.00000965 5.66375865 0.00673645 2.20 0.288813 3000 12.551 0.077 -0.08365268 0.00003534 -0.14524286 0.00004366 6.48288408 0.00831621 2.20 0.288813 5000 15.512 0.087 -0.06848693 0.00021411 -0.19014739 0.00004125 7.68342636 0.01612731 2.20 0.288813 7000 17.524 0.096 -0.05108502 0.00016229 -0.24232992 0.00002964 8.62718488 0.00865794 2.20 0.288813 10000 22.902 0.068 -0.02965630 0.00012555 -0.32849044 0.00006467 9.43642482 0.00600687 2.20 0.288813 15000 34.111 0.052 0.00313441 0.00009676 -0.48531359 0.00004553 10.28263352 0.00299544 2.20 0.288813 20000 46.536 0.071 0.03519816 0.00011367 -0.65286766 0.00004302 10.86368749 0.00247385 2.20 0.288813 30000 73.468 0.065 0.10315454 0.00009106 -1.01156898 0.00002160 11.73338134 0.00118579 2.20 0.288813 35000 87.647 0.068 0.13892360 0.00009319 2.20 0.288813 40000 102.224 0.063 0.17635256 0.00009977 -1.39403546 0.00002543 12.39721862 0.00098836 2.30 0.252756 1000 5.607 0.028 -0.09622163 0.00001681 2.30 0.252756 2000 7.423 0.039 -0.09115353 0.00002677 2.30 0.252756 3000 9.020 0.071 -0.08546132 0.00003652 -0.14802438 0.00002538 6.58529136 0.00651513 2.30 0.252756 5000 12.245 0.065 -0.07017559 0.00017237 -0.19312190 0.00004706 7.76461335 0.01385763 2.30 0.252756 7000 13.953 0.065 -0.05222669 0.00019934 -0.24579956 0.00003609 8.73220093 0.01062050 2.30 0.252756 10000 18.527 0.067 -0.02946814 0.00010779 2.30 0.252756 15000 28.152 0.068 0.00345235 0.00013101 2.30 0.252756 20000 38.914 0.088 0.03651571 0.00013457 2.30 0.252756 30000 62.433 0.071 0.10525630 0.00015142 2.30 0.252756 40000 87.778 0.087 0.17996281 0.00009132 2.40 0.222460 1000 3.978 0.020 -0.09707526 0.00001563 2.40 0.222460 3000 6.880 0.070 -0.08698798 0.00003317 -0.15075061 0.00003032 6.71154086 0.00676595 2.40 0.222460 5000 9.641 0.062 -0.07142238 0.00021053 -0.19579563 0.00006549 7.85483472 0.01743185 2.40 0.222460 7000 11.515 0.062 -0.05417372 0.00025326 -0.24875020 0.00003609 8.77747441 0.01305275 2.40 0.222460 10000 15.360 0.037 -0.03011298 0.00014312 -0.33706626 0.00006870 9.69280658 0.00668871 2.40 0.222460 15000 23.526 0.042 0.00446513 0.00012350 -0.49809038 0.00003881 10.57961967 0.00341691 2.40 0.222460 20000 33.023 0.034 0.03795586 0.00008368 -0.67057084 0.00003444 11.18673878 0.00186506 2.40 0.222460 30000 53.717 0.031 0.10803815 0.00008665 -1.03983210 0.00003248 12.08227801 0.00125389 2.40 0.222460 35000 64.528 0.062 0.14522017 0.00008264