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SAT-TMMC: Liquid-vapor coexistence properties - Long-Range Corrections at 3σ

Grand-canonical Transition-Matrix Monte Carlo (GC-TMMC) simulations [1, 8-12] were performed at kBT/ϵ = 0.70, 0.85, 1.10, and 1.20 with a cubic simulation box of V=512 σ3 and Nmax=510. The particle number range was divided into 32 windows and expanded ensemble trial moves were also performed to ensure adequate sampling at high densities. Each particle number window was swept a minimum of 100 times. Within a window, half of a sweep was defined as the condition where each bin in a visited-states histogram had a minimum of 100 hits. The main result of a GC-TMMC simulation is the particle number probability distribution, which is constructed by stitching together the particle number distributions from each window. Physically, this distribution corresponds to the probability of finding N particles in a simulation box of volume V, temperature T, and chemical potential μ (or activity ln⁡ z). At each value of N, average total potential energies U and average square total potential energies U2 were collected. Knowledge of the particle number probability distribution can be used to determine liquid-vapor coexistence properties. Other key simulation details are given below:


METHOD Grand-canonical transition-matrix Monte Carlo with histogram re-weighting [1, 8-12] and thermodynamic extrapolation [13-15]
V/σ3 512
Nmax 510
TRUNCATION 3.0σ + standard long-range corrections
Prob. of Disp. Move 0.7
Prob. of Ins/Del Move 0.3
Biasing Function Update Frequency 1.0E6 trial moves
Simulation Length Each window

Interested readers can download raw data and contact us if there are questions. We note that the analysis used to extract thermophysical properties from the macrostate distributions used Nmax=485 due to the system’s tendency to crystallize at high densities. This value of Nmax ensured that the temperature and macrostate range was reflective of an amorphous fluid phase.

The particle number probability distribution (or the macrostate distribution) at temperatures not simulated directly were determined using statistical mechanical extrapolation methods [13, 14] along with interpolating polynomials [15]. A second order temperature extrapolation was used here. This provides a data of liquid-vapor coexistence data from kBT/ϵ = 0.7 – 1.20 at increments of 0.001.















0.700 1.9956E-03 3.55E-07 8.4341E-01 3.68E-05 1.3693E-03 2.50E-07 -2.5014E-02 5.98E-06 -6.1002E+00 2.55E-04 -6.2522E+00 5.02E-03
0.701 2.0214E-03 3.59E-07 8.4299E-01 3.38E-05 1.3887E-03 2.54E-07 -2.5299E-02 5.94E-06 -6.0964E+00 2.36E-04 -6.2397E+00 5.02E-03
0.702 2.0475E-03 3.63E-07 8.4256E-01 3.09E-05 1.4084E-03 2.57E-07 -2.5587E-02 5.90E-06 -6.0926E+00 2.18E-04 -6.2273E+00 5.02E-03
0.703 2.0739E-03 3.68E-07 8.4214E-01 2.81E-05 1.4282E-03 2.61E-07 -2.5877E-02 5.87E-06 -6.0888E+00 2.00E-04 -6.2150E+00 5.02E-03
0.704 2.1005E-03 3.72E-07 8.4172E-01 2.55E-05 1.4483E-03 2.64E-07 -2.6169E-02 5.83E-06 -6.0850E+00 1.84E-04 -6.2026E+00 5.02E-03
0.705 2.1274E-03 3.76E-07 8.4129E-01 2.31E-05 1.4686E-03 2.67E-07 -2.6464E-02 5.80E-06 -6.0812E+00 1.69E-04 -6.1903E+00 5.02E-03
0.706 2.1545E-03 3.81E-07 8.4087E-01 2.10E-05 1.4891E-03 2.71E-07 -2.6761E-02 5.77E-06 -6.0774E+00 1.56E-04 -6.1781E+00 5.02E-03
0.707 2.1819E-03 3.85E-07 8.4045E-01 1.93E-05 1.5098E-03 2.74E-07 -2.7061E-02 5.74E-06 -6.0735E+00 1.45E-04 -6.1659E+00 5.01E-03
0.708 2.2095E-03 3.88E-07 8.4002E-01 1.81E-05 1.5308E-03 2.77E-07 -2.7363E-02 5.71E-06 -6.0697E+00 1.37E-04 -6.1537E+00 5.01E-03
0.709 2.2374E-03 3.92E-07 8.3960E-01 1.75E-05 1.5520E-03 2.80E-07 -2.7668E-02 5.69E-06 -6.0659E+00 1.33E-04 -6.1416E+00 5.01E-03
0.710 2.2656E-03 3.96E-07 8.3918E-01 1.75E-05 1.5734E-03 2.83E-07 -2.7975E-02 5.67E-06 -6.0621E+00 1.32E-04 -6.1296E+00 5.00E-03
0.711 2.2941E-03 3.99E-07 8.3875E-01 1.82E-05 1.5950E-03 2.86E-07 -2.8285E-02 5.64E-06 -6.0583E+00 1.34E-04 -6.1175E+00 4.99E-03
0.712 2.3228E-03 4.02E-07 8.3833E-01 1.95E-05 1.6169E-03 2.88E-07 -2.8598E-02 5.63E-06 -6.0545E+00 1.39E-04 -6.1055E+00 4.98E-03
0.713 2.3518E-03 4.05E-07 8.3790E-01 2.11E-05 1.6390E-03 2.91E-07 -2.8912E-02 5.61E-06 -6.0507E+00 1.47E-04 -6.0936E+00 4.97E-03
0.714 2.3810E-03 4.07E-07 8.3748E-01 2.31E-05 1.6613E-03 2.93E-07 -2.9230E-02 5.60E-06 -6.0469E+00 1.58E-04 -6.0817E+00 4.96E-03
0.715 2.4105E-03 4.10E-07 8.3705E-01 2.54E-05 1.6839E-03 2.95E-07 -2.9550E-02 5.59E-06 -6.0431E+00 1.70E-04 -6.0698E+00 4.95E-03
0.716 2.4403E-03 4.12E-07 8.3663E-01 2.77E-05 1.7067E-03 2.97E-07 -2.9873E-02 5.59E-06 -6.0392E+00 1.83E-04 -6.0580E+00 4.94E-03
0.717 2.4704E-03 4.13E-07 8.3620E-01 3.02E-05 1.7297E-03 2.99E-07 -3.0198E-02 5.58E-06 -6.0354E+00 1.97E-04 -6.0462E+00 4.92E-03
0.718 2.5008E-03 4.15E-07 8.3578E-01 3.27E-05 1.7530E-03 3.01E-07 -3.0526E-02 5.59E-06 -6.0316E+00 2.11E-04 -6.0345E+00 4.91E-03
0.719 2.5314E-03 4.16E-07 8.3535E-01 3.53E-05 1.7765E-03 3.02E-07 -3.0857E-02 5.59E-06 -6.0278E+00 2.26E-04 -6.0228E+00 4.89E-03
0.720 2.5624E-03 4.17E-07 8.3492E-01 3.78E-05 1.8003E-03 3.03E-07 -3.1190E-02 5.60E-06 -6.0240E+00 2.41E-04 -6.0111E+00 4.87E-03
0.721 2.5936E-03 4.17E-07 8.3450E-01 4.04E-05 1.8243E-03 3.04E-07 -3.1526E-02 5.61E-06 -6.0202E+00 2.56E-04 -5.9995E+00 4.85E-03
0.722 2.6250E-03 4.17E-07 8.3407E-01 4.29E-05 1.8486E-03 3.05E-07 -3.1865E-02 5.63E-06 -6.0164E+00 2.72E-04 -5.9879E+00 4.82E-03
0.723 2.6568E-03 4.17E-07 8.3364E-01 4.54E-05 1.8731E-03 3.06E-07 -3.2206E-02 5.65E-06 -6.0125E+00 2.87E-04 -5.9764E+00 4.80E-03
0.724 2.6889E-03 4.16E-07 8.3322E-01 4.79E-05 1.8979E-03 3.06E-07 -3.2550E-02 5.68E-06 -6.0087E+00 3.01E-04 -5.9649E+00 4.77E-03
0.725 2.7212E-03 4.16E-07 8.3279E-01 5.03E-05 1.9229E-03 3.06E-07 -3.2897E-02 5.71E-06 -6.0049E+00 3.16E-04 -5.9535E+00 4.74E-03
0.726 2.7539E-03 4.14E-07 8.3236E-01 5.26E-05 1.9481E-03 3.06E-07 -3.3247E-02 5.74E-06 -6.0011E+00 3.30E-04 -5.9421E+00 4.71E-03
0.727 2.7868E-03 4.13E-07 8.3193E-01 5.49E-05 1.9737E-03 3.06E-07 -3.3599E-02 5.78E-06 -5.9973E+00 3.44E-04 -5.9307E+00 4.68E-03
0.728 2.8201E-03 4.11E-07 8.3151E-01 5.71E-05 1.9994E-03 3.05E-07 -3.3954E-02 5.82E-06 -5.9934E+00 3.58E-04 -5.9193E+00 4.65E-03
0.729 2.8536E-03 4.08E-07 8.3108E-01 5.93E-05 2.0255E-03 3.04E-07 -3.4311E-02 5.87E-06 -5.9896E+00 3.71E-04 -5.9081E+00 4.62E-03
0.730 2.8874E-03 4.06E-07 8.3065E-01 6.13E-05 2.0518E-03 3.03E-07 -3.4672E-02 5.92E-06 -5.9858E+00 3.84E-04 -5.8968E+00 4.58E-03
0.731 2.9216E-03 4.03E-07 8.3022E-01 6.33E-05 2.0783E-03 3.02E-07 -3.5035E-02 5.98E-06 -5.9820E+00 3.96E-04 -5.8856E+00 4.54E-03
0.732 2.9560E-03 3.99E-07 8.2979E-01 6.52E-05 2.1052E-03 3.01E-07 -3.5401E-02 6.05E-06 -5.9782E+00 4.08E-04 -5.8744E+00 4.50E-03
0.733 2.9907E-03 3.96E-07 8.2936E-01 6.71E-05 2.1323E-03 2.99E-07 -3.5770E-02 6.11E-06 -5.9743E+00 4.20E-04 -5.8633E+00 4.46E-03
0.734 3.0258E-03 3.92E-07 8.2893E-01 6.88E-05 2.1596E-03 2.98E-07 -3.6142E-02 6.19E-06 -5.9705E+00 4.30E-04 -5.8522E+00 4.42E-03
0.735 3.0611E-03 3.87E-07 8.2850E-01 7.04E-05 2.1873E-03 2.95E-07 -3.6517E-02 6.27E-06 -5.9667E+00 4.41E-04 -5.8411E+00 4.38E-03
0.736 3.0968E-03 3.83E-07 8.2807E-01 7.19E-05 2.2152E-03 2.93E-07 -3.6894E-02 6.35E-06 -5.9629E+00 4.50E-04 -5.8301E+00 4.34E-03
0.737 3.1327E-03 3.78E-07 8.2764E-01 7.33E-05 2.2433E-03 2.91E-07 -3.7275E-02 6.44E-06 -5.9590E+00 4.59E-04 -5.8191E+00 4.29E-03
0.738 3.1690E-03 3.72E-07 8.2721E-01 7.46E-05 2.2718E-03 2.88E-07 -3.7658E-02 6.54E-06 -5.9552E+00 4.67E-04 -5.8082E+00 4.24E-03
0.739 3.2056E-03 3.67E-07 8.2678E-01 7.57E-05 2.3005E-03 2.85E-07 -3.8044E-02 6.64E-06 -5.9514E+00 4.74E-04 -5.7972E+00 4.20E-03
0.740 3.2425E-03 3.61E-07 8.2635E-01 7.68E-05 2.3295E-03 2.83E-07 -3.8433E-02 6.75E-06 -5.9475E+00 4.81E-04 -5.7864E+00 4.15E-03
0.741 3.2798E-03 3.55E-07 8.2591E-01 7.77E-05 2.3588E-03 2.80E-07 -3.8825E-02 6.86E-06 -5.9437E+00 4.87E-04 -5.7755E+00 4.10E-03
0.742 3.3173E-03 3.49E-07 8.2548E-01 7.84E-05 2.3883E-03 2.76E-07 -3.9220E-02 6.98E-06 -5.9399E+00 4.92E-04 -5.7647E+00 4.04E-03
0.743 3.3552E-03 3.43E-07 8.2505E-01 7.91E-05 2.4182E-03 2.73E-07 -3.9617E-02 7.10E-06 -5.9360E+00 4.96E-04 -5.7540E+00 3.99E-03
0.744 3.3933E-03 3.36E-07 8.2461E-01 7.96E-05 2.4483E-03 2.69E-07 -4.0018E-02 7.23E-06 -5.9322E+00 4.99E-04 -5.7432E+00 3.94E-03
0.745 3.4319E-03 3.29E-07 8.2418E-01 7.99E-05 2.4787E-03 2.66E-07 -4.0422E-02 7.37E-06 -5.9284E+00 5.02E-04 -5.7326E+00 3.88E-03
0.746 3.4707E-03 3.22E-07 8.2375E-01 8.02E-05 2.5094E-03 2.62E-07 -4.0829E-02 7.51E-06 -5.9245E+00 5.04E-04 -5.7219E+00 3.83E-03
0.747 3.5099E-03 3.15E-07 8.2331E-01 8.03E-05 2.5404E-03 2.58E-07 -4.1238E-02 7.65E-06 -5.9207E+00 5.04E-04 -5.7113E+00 3.77E-03
0.748 3.5493E-03 3.08E-07 8.2288E-01 8.02E-05 2.5717E-03 2.54E-07 -4.1651E-02 7.80E-06 -5.9168E+00 5.04E-04 -5.7007E+00 3.71E-03
0.749 3.5892E-03 3.01E-07 8.2244E-01 8.01E-05 2.6033E-03 2.50E-07 -4.2067E-02 7.96E-06 -5.9130E+00 5.04E-04 -5.6902E+00 3.66E-03
0.750 3.6293E-03 2.93E-07 8.2201E-01 7.98E-05 2.6352E-03 2.46E-07 -4.2486E-02 8.12E-06 -5.9091E+00 5.02E-04 -5.6797E+00 3.60E-03
0.751 3.6698E-03 2.86E-07 8.2157E-01 7.94E-05 2.6674E-03 2.42E-07 -4.2907E-02 8.28E-06 -5.9053E+00 5.00E-04 -5.6692E+00 3.54E-03
0.752 3.7106E-03 2.79E-07 8.2114E-01 7.89E-05 2.6998E-03 2.38E-07 -4.3332E-02 8.45E-06 -5.9014E+00 4.97E-04 -5.6587E+00 3.48E-03
0.753 3.7518E-03 2.72E-07 8.2070E-01 7.83E-05 2.7326E-03 2.34E-07 -4.3760E-02 8.62E-06 -5.8976E+00 4.93E-04 -5.6483E+00 3.42E-03
0.754 3.7933E-03 2.65E-07 8.2026E-01 7.75E-05 2.7657E-03 2.30E-07 -4.4191E-02 8.80E-06 -5.8937E+00 4.89E-04 -5.6380E+00 3.36E-03
0.755 3.8351E-03 2.58E-07 8.1983E-01 7.67E-05 2.7991E-03 2.26E-07 -4.4625E-02 8.98E-06 -5.8899E+00 4.84E-04 -5.6276E+00 3.29E-03
0.756 3.8773E-03 2.51E-07 8.1939E-01 7.58E-05 2.8328E-03 2.22E-07 -4.5062E-02 9.17E-06 -5.8860E+00 4.78E-04 -5.6173E+00 3.23E-03
0.757 3.9199E-03 2.45E-07 8.1895E-01 7.47E-05 2.8668E-03 2.18E-07 -4.5503E-02 9.36E-06 -5.8822E+00 4.72E-04 -5.6071E+00 3.17E-03
0.758 3.9627E-03 2.39E-07 8.1851E-01 7.36E-05 2.9011E-03 2.14E-07 -4.5946E-02 9.55E-06 -5.8783E+00 4.66E-04 -5.5968E+00 3.11E-03
0.759 4.0060E-03 2.34E-07 8.1808E-01 7.24E-05 2.9357E-03 2.11E-07 -4.6393E-02 9.75E-06 -5.8745E+00 4.59E-04 -5.5866E+00 3.04E-03
0.760 4.0495E-03 2.29E-07 8.1764E-01 7.12E-05 2.9706E-03 2.07E-07 -4.6843E-02 9.95E-06 -5.8706E+00 4.51E-04 -5.5765E+00 2.98E-03
0.761 4.0935E-03 2.25E-07 8.1720E-01 6.99E-05 3.0059E-03 2.04E-07 -4.7296E-02 1.02E-05 -5.8667E+00 4.43E-04 -5.5663E+00 2.92E-03
0.762 4.1378E-03 2.21E-07 8.1676E-01 6.85E-05 3.0414E-03 2.01E-07 -4.7752E-02 1.04E-05 -5.8629E+00 4.35E-04 -5.5562E+00 2.85E-03
0.763 4.1824E-03 2.18E-07 8.1632E-01 6.70E-05 3.0773E-03 1.98E-07 -4.8211E-02 1.06E-05 -5.8590E+00 4.26E-04 -5.5462E+00 2.79E-03
0.764 4.2274E-03 2.16E-07 8.1588E-01 6.55E-05 3.1135E-03 1.96E-07 -4.8674E-02 1.08E-05 -5.8551E+00 4.17E-04 -5.5361E+00 2.73E-03
0.765 4.2728E-03 2.15E-07 8.1544E-01 6.39E-05 3.1501E-03 1.94E-07 -4.9139E-02 1.10E-05 -5.8513E+00 4.08E-04 -5.5261E+00 2.66E-03
0.766 4.3185E-03 2.15E-07 8.1500E-01 6.23E-05 3.1869E-03 1.92E-07 -4.9608E-02 1.12E-05 -5.8474E+00 3.98E-04 -5.5162E+00 2.60E-03
0.767 4.3646E-03 2.16E-07 8.1456E-01 6.06E-05 3.2241E-03 1.91E-07 -5.0081E-02 1.14E-05 -5.8435E+00 3.89E-04 -5.5062E+00 2.54E-03
0.768 4.4110E-03 2.18E-07 8.1411E-01 5.89E-05 3.2616E-03 1.90E-07 -5.0556E-02 1.17E-05 -5.8397E+00 3.79E-04 -5.4963E+00 2.47E-03
0.769 4.4578E-03 2.21E-07 8.1367E-01 5.72E-05 3.2995E-03 1.90E-07 -5.1035E-02 1.19E-05 -5.8358E+00 3.68E-04 -5.4864E+00 2.41E-03
0.770 4.5050E-03 2.25E-07 8.1323E-01 5.54E-05 3.3376E-03 1.90E-07 -5.1517E-02 1.21E-05 -5.8319E+00 3.58E-04 -5.4766E+00 2.35E-03
0.771 4.5525E-03 2.29E-07 8.1279E-01 5.36E-05 3.3761E-03 1.90E-07 -5.2002E-02 1.23E-05 -5.8280E+00 3.47E-04 -5.4668E+00 2.28E-03
0.772 4.6004E-03 2.35E-07 8.1235E-01 5.17E-05 3.4150E-03 1.92E-07 -5.2491E-02 1.26E-05 -5.8242E+00 3.36E-04 -5.4570E+00 2.22E-03
0.773 4.6487E-03 2.42E-07 8.1190E-01 4.98E-05 3.4542E-03 1.93E-07 -5.2983E-02 1.28E-05 -5.8203E+00 3.25E-04 -5.4473E+00 2.16E-03
0.774 4.6974E-03 2.49E-07 8.1146E-01 4.79E-05 3.4937E-03 1.96E-07 -5.3479E-02 1.30E-05 -5.8164E+00 3.14E-04 -5.4375E+00 2.10E-03
0.775 4.7465E-03 2.58E-07 8.1102E-01 4.59E-05 3.5335E-03 1.98E-07 -5.3977E-02 1.33E-05 -5.8125E+00 3.02E-04 -5.4278E+00 2.04E-03
0.776 4.7959E-03 2.67E-07 8.1057E-01 4.40E-05 3.5737E-03 2.02E-07 -5.4479E-02 1.35E-05 -5.8086E+00 2.91E-04 -5.4182E+00 1.98E-03
0.777 4.8457E-03 2.76E-07 8.1013E-01 4.20E-05 3.6143E-03 2.05E-07 -5.4985E-02 1.37E-05 -5.8048E+00 2.79E-04 -5.4086E+00 1.92E-03
0.778 4.8959E-03 2.87E-07 8.0968E-01 4.00E-05 3.6552E-03 2.10E-07 -5.5494E-02 1.40E-05 -5.8009E+00 2.68E-04 -5.3990E+00 1.86E-03
0.779 4.9465E-03 2.97E-07 8.0924E-01 3.79E-05 3.6964E-03 2.14E-07 -5.6006E-02 1.42E-05 -5.7970E+00 2.56E-04 -5.3894E+00 1.80E-03
0.780 4.9974E-03 3.09E-07 8.0879E-01 3.59E-05 3.7380E-03 2.20E-07 -5.6522E-02 1.44E-05 -5.7931E+00 2.44E-04 -5.3799E+00 1.74E-03
0.781 5.0488E-03 3.20E-07 8.0835E-01 3.39E-05 3.7800E-03 2.25E-07 -5.7041E-02 1.47E-05 -5.7892E+00 2.32E-04 -5.3704E+00 1.68E-03
0.782 5.1005E-03 3.32E-07 8.0790E-01 3.18E-05 3.8223E-03 2.31E-07 -5.7563E-02 1.49E-05 -5.7853E+00 2.20E-04 -5.3609E+00 1.62E-03
0.783 5.1526E-03 3.44E-07 8.0745E-01 2.98E-05 3.8649E-03 2.37E-07 -5.8089E-02 1.51E-05 -5.7814E+00 2.09E-04 -5.3514E+00 1.57E-03
0.784 5.2052E-03 3.57E-07 8.0701E-01 2.77E-05 3.9080E-03 2.44E-07 -5.8619E-02 1.54E-05 -5.7775E+00 1.97E-04 -5.3420E+00 1.51E-03
0.785 5.2581E-03 3.70E-07 8.0656E-01 2.57E-05 3.9513E-03 2.51E-07 -5.9152E-02 1.56E-05 -5.7736E+00 1.86E-04 -5.3326E+00 1.46E-03
0.786 5.3114E-03 3.83E-07 8.0611E-01 2.38E-05 3.9951E-03 2.58E-07 -5.9688E-02 1.58E-05 -5.7697E+00 1.75E-04 -5.3233E+00 1.40E-03
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0.805 6.4025E-03 6.21E-07 7.9754E-01 1.92E-05 4.8975E-03 4.17E-07 -7.0564E-02 1.98E-05 -5.6955E+00 1.34E-04 -5.1507E+00 5.64E-04
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0.807 6.5263E-03 6.43E-07 7.9663E-01 2.18E-05 5.0007E-03 4.34E-07 -7.1787E-02 2.01E-05 -5.6876E+00 1.48E-04 -5.1331E+00 4.98E-04
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0.811 6.7792E-03 6.83E-07 7.9481E-01 2.67E-05 5.2119E-03 4.66E-07 -7.4277E-02 2.08E-05 -5.6719E+00 1.75E-04 -5.0982E+00 3.80E-04
0.812 6.8435E-03 6.93E-07 7.9436E-01 2.79E-05 5.2657E-03 4.74E-07 -7.4909E-02 2.10E-05 -5.6680E+00 1.82E-04 -5.0896E+00 3.53E-04
0.813 6.9083E-03 7.02E-07 7.9390E-01 2.91E-05 5.3199E-03 4.82E-07 -7.5546E-02 2.11E-05 -5.6641E+00 1.89E-04 -5.0809E+00 3.27E-04
0.814 6.9735E-03 7.11E-07 7.9344E-01 3.02E-05 5.3746E-03 4.90E-07 -7.6185E-02 2.13E-05 -5.6601E+00 1.95E-04 -5.0723E+00 3.02E-04
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0.816 7.1054E-03 7.28E-07 7.9253E-01 3.23E-05 5.4851E-03 5.05E-07 -7.7477E-02 2.15E-05 -5.6523E+00 2.08E-04 -5.0552E+00 2.56E-04
0.817 7.1720E-03 7.37E-07 7.9207E-01 3.33E-05 5.5410E-03 5.13E-07 -7.8129E-02 2.17E-05 -5.6483E+00 2.15E-04 -5.0467E+00 2.35E-04
0.818 7.2390E-03 7.45E-07 7.9161E-01 3.43E-05 5.5974E-03 5.20E-07 -7.8784E-02 2.18E-05 -5.6444E+00 2.21E-04 -5.0382E+00 2.15E-04
0.819 7.3065E-03 7.53E-07 7.9116E-01 3.53E-05 5.6542E-03 5.28E-07 -7.9444E-02 2.19E-05 -5.6405E+00 2.27E-04 -5.0297E+00 1.95E-04
0.820 7.3745E-03 7.60E-07 7.9070E-01 3.63E-05 5.7113E-03 5.35E-07 -8.0107E-02 2.21E-05 -5.6365E+00 2.34E-04 -5.0212E+00 1.77E-04
0.821 7.4430E-03 7.68E-07 7.9024E-01 3.72E-05 5.7690E-03 5.42E-07 -8.0775E-02 2.22E-05 -5.6326E+00 2.40E-04 -5.0128E+00 1.60E-04
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0.825 7.7215E-03 7.96E-07 7.8840E-01 4.08E-05 6.0038E-03 5.70E-07 -8.3485E-02 2.26E-05 -5.6168E+00 2.63E-04 -4.9793E+00 1.01E-04
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0.829 8.0076E-03 8.22E-07 7.8656E-01 4.40E-05 6.2456E-03 5.98E-07 -8.6260E-02 2.31E-05 -5.6011E+00 2.84E-04 -4.9462E+00 5.62E-05
0.830 8.0804E-03 8.28E-07 7.8610E-01 4.47E-05 6.3072E-03 6.05E-07 -8.6964E-02 2.32E-05 -5.5971E+00 2.89E-04 -4.9380E+00 4.73E-05
0.831 8.1536E-03 8.34E-07 7.8564E-01 4.54E-05 6.3692E-03 6.12E-07 -8.7672E-02 2.32E-05 -5.5932E+00 2.93E-04 -4.9298E+00 3.93E-05
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0.833 8.3015E-03 8.46E-07 7.8472E-01 4.66E-05 6.4946E-03 6.25E-07 -8.9101E-02 2.34E-05 -5.5853E+00 3.02E-04 -4.9135E+00 2.59E-05
0.834 8.3763E-03 8.52E-07 7.8426E-01 4.71E-05 6.5580E-03 6.32E-07 -8.9821E-02 2.35E-05 -5.5813E+00 3.05E-04 -4.9054E+00 2.07E-05
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0.838 8.6800E-03 8.74E-07 7.8240E-01 4.87E-05 6.8161E-03 6.58E-07 -9.2745E-02 2.38E-05 -5.5655E+00 3.16E-04 -4.8732E+00 1.30E-05
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0.878 1.2185E-02 1.05E-06 7.6352E-01 2.14E-05 9.8278E-03 9.21E-07 -1.2588E-01 2.47E-05 -5.4059E+00 1.26E-04 -4.5709E+00 2.98E-05
0.879 1.2284E-02 1.05E-06 7.6304E-01 2.04E-05 9.9137E-03 9.25E-07 -1.2680E-01 2.47E-05 -5.4018E+00 1.19E-04 -4.5638E+00 2.99E-05
0.880 1.2384E-02 1.05E-06 7.6256E-01 1.94E-05 1.0000E-02 9.29E-07 -1.2773E-01 2.47E-05 -5.3978E+00 1.13E-04 -4.5567E+00 3.01E-05
0.881 1.2484E-02 1.05E-06 7.6208E-01 1.85E-05 1.0087E-02 9.33E-07 -1.2866E-01 2.47E-05 -5.3938E+00 1.07E-04 -4.5497E+00 3.02E-05
0.882 1.2585E-02 1.05E-06 7.6160E-01 1.75E-05 1.0175E-02 9.37E-07 -1.2960E-01 2.47E-05 -5.3897E+00 1.01E-04 -4.5426E+00 3.03E-05
0.883 1.2687E-02 1.06E-06 7.6111E-01 1.67E-05 1.0263E-02 9.41E-07 -1.3054E-01 2.48E-05 -5.3857E+00 9.60E-05 -4.5356E+00 3.04E-05
0.884 1.2789E-02 1.06E-06 7.6063E-01 1.58E-05 1.0352E-02 9.44E-07 -1.3149E-01 2.48E-05 -5.3817E+00 9.12E-05 -4.5286E+00 3.06E-05
0.885 1.2892E-02 1.06E-06 7.6015E-01 1.50E-05 1.0441E-02 9.47E-07 -1.3245E-01 2.48E-05 -5.3776E+00 8.67E-05 -4.5216E+00 3.07E-05
0.886 1.2996E-02 1.06E-06 7.5966E-01 1.42E-05 1.0531E-02 9.50E-07 -1.3340E-01 2.48E-05 -5.3736E+00 8.27E-05 -4.5146E+00 3.08E-05
0.887 1.3100E-02 1.07E-06 7.5918E-01 1.35E-05 1.0621E-02 9.53E-07 -1.3437E-01 2.49E-05 -5.3695E+00 7.92E-05 -4.5077E+00 3.09E-05
0.888 1.3204E-02 1.07E-06 7.5869E-01 1.28E-05 1.0712E-02 9.56E-07 -1.3534E-01 2.49E-05 -5.3655E+00 7.62E-05 -4.5007E+00 3.10E-05
0.889 1.3310E-02 1.07E-06 7.5821E-01 1.22E-05 1.0803E-02 9.58E-07 -1.3631E-01 2.49E-05 -5.3614E+00 7.36E-05 -4.4938E+00 3.12E-05
0.890 1.3416E-02 1.07E-06 7.5772E-01 1.16E-05 1.0895E-02 9.61E-07 -1.3729E-01 2.50E-05 -5.3574E+00 7.15E-05 -4.4869E+00 3.13E-05
0.891 1.3522E-02 1.08E-06 7.5723E-01 1.11E-05 1.0988E-02 9.63E-07 -1.3827E-01 2.50E-05 -5.3533E+00 7.00E-05 -4.4800E+00 3.14E-05
0.892 1.3629E-02 1.08E-06 7.5675E-01 1.06E-05 1.1081E-02 9.65E-07 -1.3926E-01 2.50E-05 -5.3493E+00 6.89E-05 -4.4732E+00 3.15E-05
0.893 1.3737E-02 1.08E-06 7.5626E-01 1.02E-05 1.1175E-02 9.67E-07 -1.4025E-01 2.51E-05 -5.3452E+00 6.83E-05 -4.4664E+00 3.16E-05
0.894 1.3846E-02 1.08E-06 7.5577E-01 9.91E-06 1.1269E-02 9.68E-07 -1.4125E-01 2.51E-05 -5.3412E+00 6.82E-05 -4.4595E+00 3.18E-05
0.895 1.3955E-02 1.09E-06 7.5528E-01 9.64E-06 1.1364E-02 9.70E-07 -1.4226E-01 2.52E-05 -5.3371E+00 6.85E-05 -4.4528E+00 3.19E-05
0.896 1.4064E-02 1.09E-06 7.5480E-01 9.45E-06 1.1460E-02 9.72E-07 -1.4326E-01 2.52E-05 -5.3330E+00 6.93E-05 -4.4460E+00 3.20E-05
0.897 1.4175E-02 1.10E-06 7.5431E-01 9.34E-06 1.1556E-02 9.73E-07 -1.4428E-01 2.53E-05 -5.3290E+00 7.05E-05 -4.4392E+00 3.22E-05
0.898 1.4286E-02 1.10E-06 7.5382E-01 9.32E-06 1.1653E-02 9.74E-07 -1.4530E-01 2.54E-05 -5.3249E+00 7.21E-05 -4.4325E+00 3.23E-05
0.899 1.4398E-02 1.10E-06 7.5333E-01 9.39E-06 1.1750E-02 9.76E-07 -1.4632E-01 2.54E-05 -5.3208E+00 7.42E-05 -4.4258E+00 3.25E-05
0.900 1.4510E-02 1.11E-06 7.5284E-01 9.56E-06 1.1848E-02 9.77E-07 -1.4735E-01 2.55E-05 -5.3167E+00 7.67E-05 -4.4191E+00 3.26E-05
0.901 1.4623E-02 1.12E-06 7.5234E-01 9.84E-06 1.1946E-02 9.78E-07 -1.4839E-01 2.56E-05 -5.3127E+00 7.96E-05 -4.4124E+00 3.28E-05
0.902 1.4736E-02 1.12E-06 7.5185E-01 1.02E-05 1.2045E-02 9.79E-07 -1.4943E-01 2.57E-05 -5.3086E+00 8.29E-05 -4.4057E+00 3.29E-05
0.903 1.4851E-02 1.13E-06 7.5136E-01 1.07E-05 1.2145E-02 9.80E-07 -1.5047E-01 2.57E-05 -5.3045E+00 8.67E-05 -4.3991E+00 3.31E-05
0.904 1.4966E-02 1.13E-06 7.5087E-01 1.13E-05 1.2245E-02 9.81E-07 -1.5153E-01 2.58E-05 -5.3004E+00 9.09E-05 -4.3925E+00 3.33E-05
0.905 1.5081E-02 1.14E-06 7.5037E-01 1.19E-05 1.2346E-02 9.82E-07 -1.5258E-01 2.59E-05 -5.2963E+00 9.56E-05 -4.3859E+00 3.34E-05
0.906 1.5198E-02 1.15E-06 7.4988E-01 1.27E-05 1.2447E-02 9.84E-07 -1.5364E-01 2.60E-05 -5.2922E+00 1.01E-04 -4.3793E+00 3.36E-05
0.907 1.5314E-02 1.16E-06 7.4938E-01 1.36E-05 1.2549E-02 9.85E-07 -1.5471E-01 2.62E-05 -5.2881E+00 1.06E-04 -4.3727E+00 3.38E-05
0.908 1.5432E-02 1.17E-06 7.4889E-01 1.45E-05 1.2652E-02 9.86E-07 -1.5578E-01 2.63E-05 -5.2840E+00 1.12E-04 -4.3662E+00 3.40E-05
0.909 1.5550E-02 1.18E-06 7.4839E-01 1.55E-05 1.2755E-02 9.87E-07 -1.5686E-01 2.64E-05 -5.2799E+00 1.18E-04 -4.3596E+00 3.42E-05
0.910 1.5669E-02 1.19E-06 7.4790E-01 1.65E-05 1.2859E-02 9.89E-07 -1.5794E-01 2.65E-05 -5.2758E+00 1.25E-04 -4.3531E+00 3.44E-05
0.911 1.5789E-02 1.20E-06 7.4740E-01 1.76E-05 1.2963E-02 9.91E-07 -1.5903E-01 2.66E-05 -5.2717E+00 1.32E-04 -4.3466E+00 3.47E-05
0.912 1.5909E-02 1.21E-06 7.4690E-01 1.88E-05 1.3068E-02 9.92E-07 -1.6013E-01 2.68E-05 -5.2676E+00 1.39E-04 -4.3401E+00 3.49E-05
0.913 1.6030E-02 1.22E-06 7.4641E-01 2.00E-05 1.3174E-02 9.94E-07 -1.6123E-01 2.69E-05 -5.2635E+00 1.47E-04 -4.3337E+00 3.51E-05
0.914 1.6152E-02 1.24E-06 7.4591E-01 2.12E-05 1.3280E-02 9.96E-07 -1.6233E-01 2.71E-05 -5.2594E+00 1.55E-04 -4.3273E+00 3.54E-05
0.915 1.6275E-02 1.25E-06 7.4541E-01 2.25E-05 1.3387E-02 9.99E-07 -1.6344E-01 2.72E-05 -5.2553E+00 1.63E-04 -4.3208E+00 3.56E-05
0.916 1.6398E-02 1.27E-06 7.4491E-01 2.38E-05 1.3495E-02 1.00E-06 -1.6456E-01 2.74E-05 -5.2512E+00 1.71E-04 -4.3144E+00 3.59E-05
0.917 1.6521E-02 1.28E-06 7.4441E-01 2.51E-05 1.3603E-02 1.00E-06 -1.6568E-01 2.76E-05 -5.2470E+00 1.80E-04 -4.3080E+00 3.61E-05
0.918 1.6646E-02 1.30E-06 7.4391E-01 2.64E-05 1.3712E-02 1.01E-06 -1.6681E-01 2.77E-05 -5.2429E+00 1.89E-04 -4.3017E+00 3.64E-05
0.919 1.6771E-02 1.32E-06 7.4341E-01 2.78E-05 1.3821E-02 1.01E-06 -1.6794E-01 2.79E-05 -5.2388E+00 1.97E-04 -4.2953E+00 3.66E-05
0.920 1.6897E-02 1.33E-06 7.4291E-01 2.91E-05 1.3931E-02 1.01E-06 -1.6908E-01 2.81E-05 -5.2347E+00 2.06E-04 -4.2890E+00 3.69E-05
0.921 1.7024E-02 1.35E-06 7.4240E-01 3.04E-05 1.4042E-02 1.02E-06 -1.7022E-01 2.83E-05 -5.2305E+00 2.15E-04 -4.2827E+00 3.72E-05
0.922 1.7151E-02 1.37E-06 7.4190E-01 3.18E-05 1.4153E-02 1.02E-06 -1.7137E-01 2.85E-05 -5.2264E+00 2.24E-04 -4.2764E+00 3.75E-05
0.923 1.7279E-02 1.39E-06 7.4140E-01 3.31E-05 1.4265E-02 1.03E-06 -1.7253E-01 2.87E-05 -5.2223E+00 2.33E-04 -4.2701E+00 3.77E-05
0.924 1.7408E-02 1.41E-06 7.4090E-01 3.44E-05 1.4378E-02 1.03E-06 -1.7369E-01 2.89E-05 -5.2181E+00 2.42E-04 -4.2638E+00 3.80E-05
0.925 1.7537E-02 1.44E-06 7.4039E-01 3.57E-05 1.4491E-02 1.03E-06 -1.7486E-01 2.91E-05 -5.2140E+00 2.50E-04 -4.2576E+00 3.83E-05
0.926 1.7668E-02 1.46E-06 7.3989E-01 3.70E-05 1.4605E-02 1.04E-06 -1.7603E-01 2.94E-05 -5.2098E+00 2.59E-04 -4.2514E+00 3.86E-05
0.927 1.7799E-02 1.48E-06 7.3938E-01 3.83E-05 1.4719E-02 1.05E-06 -1.7721E-01 2.96E-05 -5.2057E+00 2.68E-04 -4.2452E+00 3.89E-05
0.928 1.7930E-02 1.51E-06 7.3887E-01 3.95E-05 1.4834E-02 1.05E-06 -1.7839E-01 2.98E-05 -5.2015E+00 2.76E-04 -4.2390E+00 3.92E-05
0.929 1.8063E-02 1.53E-06 7.3837E-01 4.07E-05 1.4950E-02 1.06E-06 -1.7958E-01 3.01E-05 -5.1974E+00 2.85E-04 -4.2328E+00 3.94E-05
0.930 1.8196E-02 1.56E-06 7.3786E-01 4.19E-05 1.5066E-02 1.06E-06 -1.8078E-01 3.03E-05 -5.1932E+00 2.93E-04 -4.2266E+00 3.97E-05
0.931 1.8330E-02 1.58E-06 7.3735E-01 4.31E-05 1.5183E-02 1.07E-06 -1.8198E-01 3.05E-05 -5.1891E+00 3.01E-04 -4.2205E+00 4.00E-05
0.932 1.8464E-02 1.61E-06 7.3685E-01 4.42E-05 1.5301E-02 1.08E-06 -1.8319E-01 3.08E-05 -5.1849E+00 3.09E-04 -4.2144E+00 4.03E-05
0.933 1.8600E-02 1.64E-06 7.3634E-01 4.53E-05 1.5420E-02 1.09E-06 -1.8440E-01 3.11E-05 -5.1808E+00 3.17E-04 -4.2083E+00 4.05E-05
0.934 1.8736E-02 1.67E-06 7.3583E-01 4.64E-05 1.5539E-02 1.09E-06 -1.8562E-01 3.13E-05 -5.1766E+00 3.24E-04 -4.2022E+00 4.08E-05
0.935 1.8873E-02 1.70E-06 7.3532E-01 4.75E-05 1.5658E-02 1.10E-06 -1.8685E-01 3.16E-05 -5.1724E+00 3.32E-04 -4.1961E+00 4.11E-05
0.936 1.9010E-02 1.72E-06 7.3481E-01 4.85E-05 1.5779E-02 1.11E-06 -1.8808E-01 3.18E-05 -5.1682E+00 3.39E-04 -4.1900E+00 4.13E-05
0.937 1.9149E-02 1.75E-06 7.3430E-01 4.96E-05 1.5900E-02 1.12E-06 -1.8932E-01 3.21E-05 -5.1641E+00 3.47E-04 -4.1840E+00 4.16E-05
0.938 1.9288E-02 1.78E-06 7.3379E-01 5.06E-05 1.6021E-02 1.13E-06 -1.9056E-01 3.24E-05 -5.1599E+00 3.54E-04 -4.1780E+00 4.18E-05
0.939 1.9428E-02 1.82E-06 7.3327E-01 5.16E-05 1.6144E-02 1.14E-06 -1.9181E-01 3.26E-05 -5.1557E+00 3.61E-04 -4.1720E+00 4.20E-05
0.940 1.9569E-02 1.85E-06 7.3276E-01 5.26E-05 1.6267E-02 1.15E-06 -1.9306E-01 3.29E-05 -5.1515E+00 3.68E-04 -4.1660E+00 4.22E-05
0.941 1.9710E-02 1.88E-06 7.3225E-01 5.36E-05 1.6390E-02 1.16E-06 -1.9433E-01 3.32E-05 -5.1474E+00 3.75E-04 -4.1600E+00 4.24E-05
0.942 1.9852E-02 1.91E-06 7.3174E-01 5.45E-05 1.6515E-02 1.17E-06 -1.9559E-01 3.35E-05 -5.1432E+00 3.82E-04 -4.1540E+00 4.26E-05
0.943 1.9995E-02 1.94E-06 7.3122E-01 5.55E-05 1.6640E-02 1.18E-06 -1.9687E-01 3.37E-05 -5.1390E+00 3.89E-04 -4.1481E+00 4.28E-05
0.944 2.0139E-02 1.97E-06 7.3071E-01 5.65E-05 1.6765E-02 1.19E-06 -1.9815E-01 3.40E-05 -5.1348E+00 3.95E-04 -4.1422E+00 4.30E-05
0.945 2.0284E-02 2.01E-06 7.3019E-01 5.75E-05 1.6892E-02 1.20E-06 -1.9943E-01 3.43E-05 -5.1306E+00 4.02E-04 -4.1363E+00 4.31E-05
0.946 2.0429E-02 2.04E-06 7.2968E-01 5.85E-05 1.7019E-02 1.21E-06 -2.0073E-01 3.46E-05 -5.1264E+00 4.09E-04 -4.1304E+00 4.32E-05
0.947 2.0575E-02 2.07E-06 7.2916E-01 5.95E-05 1.7147E-02 1.22E-06 -2.0202E-01 3.48E-05 -5.1222E+00 4.15E-04 -4.1245E+00 4.34E-05
0.948 2.0722E-02 2.10E-06 7.2864E-01 6.05E-05 1.7275E-02 1.23E-06 -2.0333E-01 3.51E-05 -5.1180E+00 4.22E-04 -4.1186E+00 4.35E-05
0.949 2.0870E-02 2.14E-06 7.2813E-01 6.15E-05 1.7404E-02 1.24E-06 -2.0464E-01 3.54E-05 -5.1138E+00 4.29E-04 -4.1128E+00 4.36E-05
0.950 2.1019E-02 2.17E-06 7.2761E-01 6.25E-05 1.7534E-02 1.25E-06 -2.0596E-01 3.56E-05 -5.1096E+00 4.35E-04 -4.1069E+00 4.36E-05
0.951 2.1168E-02 2.20E-06 7.2709E-01 6.35E-05 1.7665E-02 1.26E-06 -2.0728E-01 3.59E-05 -5.1054E+00 4.42E-04 -4.1011E+00 4.37E-05
0.952 2.1318E-02 2.24E-06 7.2657E-01 6.45E-05 1.7796E-02 1.27E-06 -2.0861E-01 3.62E-05 -5.1012E+00 4.49E-04 -4.0953E+00 4.37E-05
0.953 2.1469E-02 2.27E-06 7.2605E-01 6.56E-05 1.7928E-02 1.29E-06 -2.0995E-01 3.64E-05 -5.0969E+00 4.55E-04 -4.0895E+00 4.38E-05
0.954 2.1621E-02 2.30E-06 7.2553E-01 6.66E-05 1.8060E-02 1.30E-06 -2.1129E-01 3.67E-05 -5.0927E+00 4.62E-04 -4.0838E+00 4.38E-05
0.955 2.1774E-02 2.33E-06 7.2501E-01 6.76E-05 1.8194E-02 1.31E-06 -2.1264E-01 3.69E-05 -5.0885E+00 4.68E-04 -4.0780E+00 4.37E-05
0.956 2.1927E-02 2.37E-06 7.2449E-01 6.87E-05 1.8328E-02 1.32E-06 -2.1399E-01 3.72E-05 -5.0843E+00 4.74E-04 -4.0723E+00 4.37E-05
0.957 2.2082E-02 2.40E-06 7.2397E-01 6.97E-05 1.8462E-02 1.33E-06 -2.1535E-01 3.74E-05 -5.0801E+00 4.81E-04 -4.0666E+00 4.37E-05
0.958 2.2237E-02 2.43E-06 7.2345E-01 7.07E-05 1.8598E-02 1.34E-06 -2.1672E-01 3.76E-05 -5.0758E+00 4.87E-04 -4.0609E+00 4.36E-05
0.959 2.2393E-02 2.46E-06 7.2293E-01 7.17E-05 1.8734E-02 1.35E-06 -2.1810E-01 3.78E-05 -5.0716E+00 4.93E-04 -4.0552E+00 4.35E-05
0.960 2.2549E-02 2.49E-06 7.2240E-01 7.27E-05 1.8871E-02 1.36E-06 -2.1948E-01 3.81E-05 -5.0674E+00 4.98E-04 -4.0495E+00 4.34E-05
0.961 2.2707E-02 2.53E-06 7.2188E-01 7.36E-05 1.9008E-02 1.37E-06 -2.2087E-01 3.83E-05 -5.0631E+00 5.04E-04 -4.0438E+00 4.33E-05
0.962 2.2866E-02 2.56E-06 7.2136E-01 7.46E-05 1.9146E-02 1.38E-06 -2.2226E-01 3.85E-05 -5.0589E+00 5.09E-04 -4.0382E+00 4.32E-05
0.963 2.3025E-02 2.59E-06 7.2083E-01 7.55E-05 1.9285E-02 1.39E-06 -2.2366E-01 3.87E-05 -5.0547E+00 5.14E-04 -4.0326E+00 4.31E-05
0.964 2.3185E-02 2.62E-06 7.2031E-01 7.63E-05 1.9425E-02 1.40E-06 -2.2507E-01 3.88E-05 -5.0504E+00 5.19E-04 -4.0270E+00 4.29E-05
0.965 2.3346E-02 2.65E-06 7.1978E-01 7.71E-05 1.9565E-02 1.41E-06 -2.2648E-01 3.90E-05 -5.0462E+00 5.24E-04 -4.0214E+00 4.27E-05
0.966 2.3508E-02 2.68E-06 7.1925E-01 7.79E-05 1.9707E-02 1.42E-06 -2.2790E-01 3.92E-05 -5.0419E+00 5.28E-04 -4.0158E+00 4.25E-05
0.967 2.3671E-02 2.71E-06 7.1873E-01 7.86E-05 1.9848E-02 1.43E-06 -2.2933E-01 3.93E-05 -5.0377E+00 5.31E-04 -4.0102E+00 4.23E-05
0.968 2.3835E-02 2.74E-06 7.1820E-01 7.93E-05 1.9991E-02 1.44E-06 -2.3077E-01 3.95E-05 -5.0334E+00 5.35E-04 -4.0046E+00 4.21E-05
0.969 2.3999E-02 2.76E-06 7.1767E-01 7.99E-05 2.0134E-02 1.45E-06 -2.3221E-01 3.96E-05 -5.0291E+00 5.38E-04 -3.9991E+00 4.19E-05
0.970 2.4165E-02 2.79E-06 7.1714E-01 8.04E-05 2.0278E-02 1.46E-06 -2.3366E-01 3.98E-05 -5.0249E+00 5.40E-04 -3.9936E+00 4.17E-05
0.971 2.4331E-02 2.82E-06 7.1661E-01 8.09E-05 2.0423E-02 1.47E-06 -2.3511E-01 3.99E-05 -5.0206E+00 5.42E-04 -3.9881E+00 4.14E-05
0.972 2.4498E-02 2.85E-06 7.1608E-01 8.13E-05 2.0569E-02 1.48E-06 -2.3657E-01 4.00E-05 -5.0164E+00 5.44E-04 -3.9826E+00 4.11E-05
0.973 2.4666E-02 2.87E-06 7.1555E-01 8.17E-05 2.0715E-02 1.49E-06 -2.3804E-01 4.01E-05 -5.0121E+00 5.45E-04 -3.9771E+00 4.09E-05
0.974 2.4835E-02 2.90E-06 7.1502E-01 8.19E-05 2.0862E-02 1.50E-06 -2.3952E-01 4.02E-05 -5.0078E+00 5.46E-04 -3.9716E+00 4.06E-05
0.975 2.5005E-02 2.93E-06 7.1449E-01 8.21E-05 2.1010E-02 1.51E-06 -2.4100E-01 4.03E-05 -5.0035E+00 5.46E-04 -3.9662E+00 4.03E-05
0.976 2.5176E-02 2.95E-06 7.1395E-01 8.22E-05 2.1158E-02 1.51E-06 -2.4249E-01 4.04E-05 -4.9992E+00 5.46E-04 -3.9607E+00 4.00E-05
0.977 2.5347E-02 2.98E-06 7.1342E-01 8.22E-05 2.1307E-02 1.52E-06 -2.4398E-01 4.04E-05 -4.9950E+00 5.45E-04 -3.9553E+00 3.97E-05
0.978 2.5520E-02 3.00E-06 7.1289E-01 8.22E-05 2.1457E-02 1.53E-06 -2.4549E-01 4.05E-05 -4.9907E+00 5.43E-04 -3.9499E+00 3.94E-05
0.979 2.5694E-02 3.02E-06 7.1235E-01 8.21E-05 2.1608E-02 1.54E-06 -2.4700E-01 4.05E-05 -4.9864E+00 5.41E-04 -3.9445E+00 3.90E-05
0.980 2.5868E-02 3.05E-06 7.1182E-01 8.18E-05 2.1759E-02 1.54E-06 -2.4852E-01 4.06E-05 -4.9821E+00 5.39E-04 -3.9391E+00 3.87E-05
0.981 2.6043E-02 3.07E-06 7.1128E-01 8.15E-05 2.1912E-02 1.55E-06 -2.5004E-01 4.06E-05 -4.9778E+00 5.36E-04 -3.9338E+00 3.84E-05
0.982 2.6220E-02 3.09E-06 7.1074E-01 8.12E-05 2.2065E-02 1.56E-06 -2.5157E-01 4.06E-05 -4.9735E+00 5.33E-04 -3.9284E+00 3.80E-05
0.983 2.6397E-02 3.12E-06 7.1021E-01 8.07E-05 2.2218E-02 1.57E-06 -2.5311E-01 4.06E-05 -4.9692E+00 5.29E-04 -3.9231E+00 3.77E-05
0.984 2.6575E-02 3.14E-06 7.0967E-01 8.02E-05 2.2373E-02 1.57E-06 -2.5466E-01 4.06E-05 -4.9649E+00 5.24E-04 -3.9178E+00 3.74E-05
0.985 2.6754E-02 3.16E-06 7.0913E-01 7.95E-05 2.2528E-02 1.58E-06 -2.5621E-01 4.06E-05 -4.9606E+00 5.19E-04 -3.9125E+00 3.70E-05
0.986 2.6934E-02 3.18E-06 7.0859E-01 7.89E-05 2.2684E-02 1.59E-06 -2.5777E-01 4.06E-05 -4.9562E+00 5.14E-04 -3.9072E+00 3.67E-05
0.987 2.7115E-02 3.20E-06 7.0805E-01 7.81E-05 2.2841E-02 1.59E-06 -2.5934E-01 4.06E-05 -4.9519E+00 5.08E-04 -3.9019E+00 3.63E-05
0.988 2.7297E-02 3.22E-06 7.0751E-01 7.73E-05 2.2999E-02 1.60E-06 -2.6091E-01 4.06E-05 -4.9476E+00 5.02E-04 -3.8966E+00 3.60E-05
0.989 2.7480E-02 3.24E-06 7.0696E-01 7.64E-05 2.3157E-02 1.60E-06 -2.6250E-01 4.06E-05 -4.9433E+00 4.95E-04 -3.8914E+00 3.57E-05
0.990 2.7664E-02 3.26E-06 7.0642E-01 7.54E-05 2.3316E-02 1.61E-06 -2.6409E-01 4.05E-05 -4.9389E+00 4.88E-04 -3.8861E+00 3.53E-05
0.991 2.7848E-02 3.28E-06 7.0588E-01 7.44E-05 2.3476E-02 1.62E-06 -2.6568E-01 4.05E-05 -4.9346E+00 4.80E-04 -3.8809E+00 3.50E-05
0.992 2.8034E-02 3.30E-06 7.0533E-01 7.33E-05 2.3636E-02 1.62E-06 -2.6729E-01 4.04E-05 -4.9302E+00 4.72E-04 -3.8757E+00 3.46E-05
0.993 2.8221E-02 3.32E-06 7.0479E-01 7.21E-05 2.3798E-02 1.63E-06 -2.6890E-01 4.04E-05 -4.9259E+00 4.64E-04 -3.8705E+00 3.43E-05
0.994 2.8409E-02 3.34E-06 7.0424E-01 7.10E-05 2.3960E-02 1.63E-06 -2.7052E-01 4.03E-05 -4.9215E+00 4.56E-04 -3.8653E+00 3.40E-05
0.995 2.8597E-02 3.36E-06 7.0369E-01 6.97E-05 2.4123E-02 1.64E-06 -2.7215E-01 4.02E-05 -4.9172E+00 4.47E-04 -3.8601E+00 3.37E-05
0.996 2.8787E-02 3.38E-06 7.0314E-01 6.85E-05 2.4287E-02 1.65E-06 -2.7378E-01 4.02E-05 -4.9128E+00 4.39E-04 -3.8550E+00 3.33E-05
0.997 2.8978E-02 3.40E-06 7.0260E-01 6.72E-05 2.4451E-02 1.65E-06 -2.7542E-01 4.01E-05 -4.9084E+00 4.30E-04 -3.8498E+00 3.30E-05
0.998 2.9169E-02 3.42E-06 7.0205E-01 6.58E-05 2.4617E-02 1.66E-06 -2.7707E-01 4.00E-05 -4.9041E+00 4.21E-04 -3.8447E+00 3.27E-05
0.999 2.9362E-02 3.44E-06 7.0150E-01 6.45E-05 2.4783E-02 1.66E-06 -2.7873E-01 4.00E-05 -4.8997E+00 4.11E-04 -3.8396E+00 3.24E-05
1.000 2.9556E-02 3.45E-06 7.0094E-01 6.31E-05 2.4950E-02 1.67E-06 -2.8040E-01 3.99E-05 -4.8953E+00 4.02E-04 -3.8345E+00 3.21E-05
1.001 2.9751E-02 3.47E-06 7.0039E-01 6.17E-05 2.5118E-02 1.68E-06 -2.8207E-01 3.98E-05 -4.8909E+00 3.93E-04 -3.8294E+00 3.18E-05
1.002 2.9946E-02 3.49E-06 6.9984E-01 6.03E-05 2.5286E-02 1.68E-06 -2.8375E-01 3.97E-05 -4.8866E+00 3.83E-04 -3.8243E+00 3.15E-05
1.003 3.0143E-02 3.51E-06 6.9929E-01 5.89E-05 2.5455E-02 1.69E-06 -2.8544E-01 3.96E-05 -4.8822E+00 3.74E-04 -3.8192E+00 3.13E-05
1.004 3.0341E-02 3.52E-06 6.9873E-01 5.75E-05 2.5626E-02 1.69E-06 -2.8714E-01 3.96E-05 -4.8778E+00 3.65E-04 -3.8142E+00 3.10E-05
1.005 3.0540E-02 3.54E-06 6.9817E-01 5.61E-05 2.5797E-02 1.70E-06 -2.8884E-01 3.95E-05 -4.8734E+00 3.56E-04 -3.8091E+00 3.07E-05
1.006 3.0740E-02 3.56E-06 6.9762E-01 5.48E-05 2.5968E-02 1.71E-06 -2.9055E-01 3.94E-05 -4.8690E+00 3.47E-04 -3.8041E+00 3.05E-05
1.007 3.0941E-02 3.58E-06 6.9706E-01 5.34E-05 2.6141E-02 1.72E-06 -2.9227E-01 3.94E-05 -4.8645E+00 3.38E-04 -3.7991E+00 3.02E-05
1.008 3.1143E-02 3.59E-06 6.9650E-01 5.21E-05 2.6314E-02 1.72E-06 -2.9400E-01 3.93E-05 -4.8601E+00 3.30E-04 -3.7941E+00 3.00E-05
1.009 3.1346E-02 3.61E-06 6.9594E-01 5.07E-05 2.6488E-02 1.73E-06 -2.9574E-01 3.92E-05 -4.8557E+00 3.21E-04 -3.7891E+00 2.97E-05
1.010 3.1550E-02 3.63E-06 6.9538E-01 4.95E-05 2.6663E-02 1.74E-06 -2.9748E-01 3.92E-05 -4.8513E+00 3.13E-04 -3.7841E+00 2.95E-05
1.011 3.1755E-02 3.64E-06 6.9482E-01 4.82E-05 2.6839E-02 1.75E-06 -2.9924E-01 3.91E-05 -4.8469E+00 3.05E-04 -3.7792E+00 2.93E-05
1.012 3.1961E-02 3.66E-06 6.9426E-01 4.70E-05 2.7016E-02 1.75E-06 -3.0100E-01 3.91E-05 -4.8424E+00 2.98E-04 -3.7742E+00 2.91E-05
1.013 3.2168E-02 3.68E-06 6.9370E-01 4.59E-05 2.7193E-02 1.76E-06 -3.0277E-01 3.90E-05 -4.8380E+00 2.91E-04 -3.7693E+00 2.89E-05
1.014 3.2377E-02 3.69E-06 6.9314E-01 4.47E-05 2.7371E-02 1.77E-06 -3.0454E-01 3.90E-05 -4.8335E+00 2.84E-04 -3.7644E+00 2.87E-05
1.015 3.2586E-02 3.71E-06 6.9257E-01 4.37E-05 2.7551E-02 1.78E-06 -3.0633E-01 3.90E-05 -4.8291E+00 2.78E-04 -3.7595E+00 2.85E-05
1.016 3.2797E-02 3.73E-06 6.9201E-01 4.27E-05 2.7730E-02 1.79E-06 -3.0812E-01 3.90E-05 -4.8246E+00 2.72E-04 -3.7546E+00 2.83E-05
1.017 3.3008E-02 3.74E-06 6.9144E-01 4.17E-05 2.7911E-02 1.80E-06 -3.0992E-01 3.89E-05 -4.8202E+00 2.66E-04 -3.7497E+00 2.81E-05
1.018 3.3221E-02 3.76E-06 6.9087E-01 4.08E-05 2.8093E-02 1.81E-06 -3.1173E-01 3.89E-05 -4.8157E+00 2.61E-04 -3.7448E+00 2.80E-05
1.019 3.3435E-02 3.77E-06 6.9031E-01 4.00E-05 2.8275E-02 1.82E-06 -3.1355E-01 3.90E-05 -4.8113E+00 2.56E-04 -3.7400E+00 2.78E-05
1.020 3.3650E-02 3.79E-06 6.8974E-01 3.92E-05 2.8458E-02 1.83E-06 -3.1538E-01 3.90E-05 -4.8068E+00 2.52E-04 -3.7351E+00 2.76E-05
1.021 3.3866E-02 3.80E-06 6.8917E-01 3.86E-05 2.8643E-02 1.84E-06 -3.1722E-01 3.90E-05 -4.8023E+00 2.48E-04 -3.7303E+00 2.75E-05
1.022 3.4083E-02 3.82E-06 6.8860E-01 3.79E-05 2.8827E-02 1.85E-06 -3.1906E-01 3.91E-05 -4.7978E+00 2.45E-04 -3.7254E+00 2.73E-05
1.023 3.4301E-02 3.83E-06 6.8803E-01 3.74E-05 2.9013E-02 1.86E-06 -3.2091E-01 3.91E-05 -4.7933E+00 2.42E-04 -3.7206E+00 2.72E-05
1.024 3.4521E-02 3.84E-06 6.8745E-01 3.69E-05 2.9200E-02 1.88E-06 -3.2278E-01 3.92E-05 -4.7888E+00 2.39E-04 -3.7158E+00 2.71E-05
1.025 3.4742E-02 3.86E-06 6.8688E-01 3.65E-05 2.9387E-02 1.89E-06 -3.2465E-01 3.93E-05 -4.7843E+00 2.37E-04 -3.7111E+00 2.69E-05
1.026 3.4963E-02 3.87E-06 6.8631E-01 3.62E-05 2.9576E-02 1.90E-06 -3.2652E-01 3.94E-05 -4.7798E+00 2.36E-04 -3.7063E+00 2.68E-05
1.027 3.5186E-02 3.88E-06 6.8573E-01 3.59E-05 2.9765E-02 1.91E-06 -3.2841E-01 3.95E-05 -4.7753E+00 2.35E-04 -3.7015E+00 2.67E-05
1.028 3.5410E-02 3.89E-06 6.8515E-01 3.57E-05 2.9955E-02 1.93E-06 -3.3031E-01 3.97E-05 -4.7708E+00 2.34E-04 -3.6968E+00 2.66E-05
1.029 3.5636E-02 3.91E-06 6.8458E-01 3.56E-05 3.0145E-02 1.94E-06 -3.3221E-01 3.98E-05 -4.7663E+00 2.34E-04 -3.6920E+00 2.65E-05
1.030 3.5862E-02 3.92E-06 6.8400E-01 3.55E-05 3.0337E-02 1.96E-06 -3.3413E-01 4.00E-05 -4.7618E+00 2.34E-04 -3.6873E+00 2.64E-05
1.031 3.6090E-02 3.93E-06 6.8342E-01 3.55E-05 3.0530E-02 1.97E-06 -3.3605E-01 4.02E-05 -4.7573E+00 2.34E-04 -3.6826E+00 2.63E-05
1.032 3.6318E-02 3.94E-06 6.8284E-01 3.55E-05 3.0723E-02 1.98E-06 -3.3798E-01 4.04E-05 -4.7527E+00 2.35E-04 -3.6779E+00 2.62E-05
1.033 3.6548E-02 3.95E-06 6.8226E-01 3.56E-05 3.0917E-02 2.00E-06 -3.3992E-01 4.06E-05 -4.7482E+00 2.36E-04 -3.6732E+00 2.61E-05
1.034 3.6779E-02 3.96E-06 6.8168E-01 3.58E-05 3.1113E-02 2.01E-06 -3.4187E-01 4.09E-05 -4.7437E+00 2.37E-04 -3.6685E+00 2.60E-05
1.035 3.7012E-02 3.97E-06 6.8110E-01 3.60E-05 3.1309E-02 2.03E-06 -3.4383E-01 4.11E-05 -4.7391E+00 2.39E-04 -3.6639E+00 2.59E-05
1.036 3.7245E-02 3.98E-06 6.8051E-01 3.62E-05 3.1505E-02 2.05E-06 -3.4580E-01 4.14E-05 -4.7346E+00 2.41E-04 -3.6592E+00 2.58E-05
1.037 3.7480E-02 3.99E-06 6.7993E-01 3.65E-05 3.1703E-02 2.06E-06 -3.4778E-01 4.17E-05 -4.7300E+00 2.43E-04 -3.6546E+00 2.57E-05
1.038 3.7716E-02 4.00E-06 6.7934E-01 3.69E-05 3.1902E-02 2.08E-06 -3.4977E-01 4.20E-05 -4.7254E+00 2.45E-04 -3.6499E+00 2.56E-05
1.039 3.7954E-02 4.01E-06 6.7875E-01 3.72E-05 3.2101E-02 2.09E-06 -3.5176E-01 4.24E-05 -4.7209E+00 2.48E-04 -3.6453E+00 2.56E-05
1.040 3.8192E-02 4.02E-06 6.7817E-01 3.76E-05 3.2302E-02 2.11E-06 -3.5377E-01 4.28E-05 -4.7163E+00 2.51E-04 -3.6407E+00 2.55E-05
1.041 3.8432E-02 4.03E-06 6.7758E-01 3.80E-05 3.2503E-02 2.13E-06 -3.5578E-01 4.32E-05 -4.7117E+00 2.53E-04 -3.6361E+00 2.54E-05
1.042 3.8673E-02 4.04E-06 6.7699E-01 3.84E-05 3.2705E-02 2.14E-06 -3.5781E-01 4.36E-05 -4.7071E+00 2.56E-04 -3.6315E+00 2.53E-05
1.043 3.8915E-02 4.04E-06 6.7640E-01 3.88E-05 3.2908E-02 2.16E-06 -3.5984E-01 4.40E-05 -4.7025E+00 2.59E-04 -3.6270E+00 2.53E-05
1.044 3.9158E-02 4.05E-06 6.7580E-01 3.92E-05 3.3112E-02 2.18E-06 -3.6189E-01 4.44E-05 -4.6979E+00 2.62E-04 -3.6224E+00 2.52E-05
1.045 3.9403E-02 4.06E-06 6.7521E-01 3.97E-05 3.3317E-02 2.20E-06 -3.6394E-01 4.49E-05 -4.6933E+00 2.65E-04 -3.6179E+00 2.51E-05
1.046 3.9649E-02 4.07E-06 6.7462E-01 4.01E-05 3.3522E-02 2.21E-06 -3.6600E-01 4.54E-05 -4.6887E+00 2.68E-04 -3.6133E+00 2.51E-05
1.047 3.9897E-02 4.08E-06 6.7402E-01 4.05E-05 3.3729E-02 2.23E-06 -3.6807E-01 4.59E-05 -4.6841E+00 2.71E-04 -3.6088E+00 2.50E-05
1.048 4.0145E-02 4.09E-06 6.7343E-01 4.10E-05 3.3937E-02 2.25E-06 -3.7016E-01 4.65E-05 -4.6795E+00 2.74E-04 -3.6043E+00 2.49E-05
1.049 4.0395E-02 4.10E-06 6.7283E-01 4.14E-05 3.4145E-02 2.27E-06 -3.7225E-01 4.70E-05 -4.6749E+00 2.77E-04 -3.5998E+00 2.49E-05
1.050 4.0647E-02 4.11E-06 6.7223E-01 4.18E-05 3.4354E-02 2.29E-06 -3.7435E-01 4.76E-05 -4.6703E+00 2.80E-04 -3.5953E+00 2.48E-05
1.051 4.0899E-02 4.12E-06 6.7163E-01 4.22E-05 3.4564E-02 2.30E-06 -3.7646E-01 4.82E-05 -4.6656E+00 2.83E-04 -3.5908E+00 2.47E-05
1.052 4.1153E-02 4.14E-06 6.7103E-01 4.26E-05 3.4775E-02 2.32E-06 -3.7858E-01 4.88E-05 -4.6610E+00 2.86E-04 -3.5863E+00 2.47E-05
1.053 4.1408E-02 4.15E-06 6.7043E-01 4.30E-05 3.4987E-02 2.34E-06 -3.8072E-01 4.94E-05 -4.6563E+00 2.88E-04 -3.5819E+00 2.46E-05
1.054 4.1665E-02 4.16E-06 6.6983E-01 4.34E-05 3.5200E-02 2.36E-06 -3.8286E-01 5.01E-05 -4.6517E+00 2.91E-04 -3.5774E+00 2.46E-05
1.055 4.1923E-02 4.18E-06 6.6922E-01 4.37E-05 3.5414E-02 2.38E-06 -3.8501E-01 5.08E-05 -4.6470E+00 2.93E-04 -3.5730E+00 2.45E-05
1.056 4.2182E-02 4.20E-06 6.6862E-01 4.41E-05 3.5629E-02 2.39E-06 -3.8717E-01 5.14E-05 -4.6424E+00 2.96E-04 -3.5686E+00 2.44E-05
1.057 4.2442E-02 4.21E-06 6.6801E-01 4.44E-05 3.5844E-02 2.41E-06 -3.8934E-01 5.21E-05 -4.6377E+00 2.98E-04 -3.5641E+00 2.44E-05
1.058 4.2704E-02 4.23E-06 6.6740E-01 4.47E-05 3.6061E-02 2.43E-06 -3.9153E-01 5.29E-05 -4.6330E+00 3.00E-04 -3.5597E+00 2.43E-05
1.059 4.2968E-02 4.25E-06 6.6679E-01 4.49E-05 3.6278E-02 2.45E-06 -3.9372E-01 5.36E-05 -4.6283E+00 3.02E-04 -3.5553E+00 2.43E-05
1.060 4.3233E-02 4.27E-06 6.6618E-01 4.52E-05 3.6497E-02 2.47E-06 -3.9592E-01 5.43E-05 -4.6236E+00 3.03E-04 -3.5510E+00 2.42E-05
1.061 4.3499E-02 4.30E-06 6.6557E-01 4.54E-05 3.6716E-02 2.49E-06 -3.9814E-01 5.51E-05 -4.6189E+00 3.05E-04 -3.5466E+00 2.42E-05
1.062 4.3766E-02 4.32E-06 6.6496E-01 4.56E-05 3.6936E-02 2.51E-06 -4.0036E-01 5.58E-05 -4.6142E+00 3.06E-04 -3.5422E+00 2.41E-05
1.063 4.4035E-02 4.35E-06 6.6435E-01 4.58E-05 3.7157E-02 2.52E-06 -4.0260E-01 5.66E-05 -4.6095E+00 3.08E-04 -3.5379E+00 2.41E-05
1.064 4.4305E-02 4.38E-06 6.6373E-01 4.60E-05 3.7379E-02 2.54E-06 -4.0484E-01 5.74E-05 -4.6048E+00 3.09E-04 -3.5336E+00 2.40E-05
1.065 4.4577E-02 4.41E-06 6.6312E-01 4.62E-05 3.7602E-02 2.56E-06 -4.0710E-01 5.82E-05 -4.6001E+00 3.10E-04 -3.5292E+00 2.40E-05
1.066 4.4850E-02 4.44E-06 6.6250E-01 4.63E-05 3.7826E-02 2.58E-06 -4.0937E-01 5.90E-05 -4.5954E+00 3.11E-04 -3.5249E+00 2.39E-05
1.067 4.5125E-02 4.47E-06 6.6188E-01 4.64E-05 3.8051E-02 2.60E-06 -4.1164E-01 5.98E-05 -4.5906E+00 3.11E-04 -3.5206E+00 2.39E-05
1.068 4.5401E-02 4.51E-06 6.6126E-01 4.65E-05 3.8277E-02 2.62E-06 -4.1393E-01 6.06E-05 -4.5859E+00 3.12E-04 -3.5163E+00 2.39E-05
1.069 4.5679E-02 4.55E-06 6.6064E-01 4.66E-05 3.8504E-02 2.63E-06 -4.1623E-01 6.15E-05 -4.5811E+00 3.13E-04 -3.5120E+00 2.38E-05
1.070 4.5958E-02 4.59E-06 6.6002E-01 4.67E-05 3.8731E-02 2.65E-06 -4.1854E-01 6.23E-05 -4.5764E+00 3.13E-04 -3.5077E+00 2.38E-05
1.071 4.6238E-02 4.63E-06 6.5940E-01 4.67E-05 3.8960E-02 2.67E-06 -4.2087E-01 6.31E-05 -4.5716E+00 3.13E-04 -3.5035E+00 2.37E-05
1.072 4.6520E-02 4.67E-06 6.5877E-01 4.68E-05 3.9189E-02 2.69E-06 -4.2320E-01 6.40E-05 -4.5669E+00 3.13E-04 -3.4992E+00 2.37E-05
1.073 4.6804E-02 4.72E-06 6.5815E-01 4.68E-05 3.9420E-02 2.71E-06 -4.2554E-01 6.48E-05 -4.5621E+00 3.13E-04 -3.4950E+00 2.37E-05
1.074 4.7089E-02 4.77E-06 6.5752E-01 4.68E-05 3.9651E-02 2.72E-06 -4.2790E-01 6.57E-05 -4.5573E+00 3.13E-04 -3.4908E+00 2.36E-05
1.075 4.7375E-02 4.82E-06 6.5689E-01 4.68E-05 3.9884E-02 2.74E-06 -4.3027E-01 6.65E-05 -4.5525E+00 3.13E-04 -3.4865E+00 2.36E-05
1.076 4.7663E-02 4.87E-06 6.5626E-01 4.67E-05 4.0117E-02 2.76E-06 -4.3264E-01 6.74E-05 -4.5477E+00 3.13E-04 -3.4823E+00 2.36E-05
1.077 4.7953E-02 4.93E-06 6.5563E-01 4.67E-05 4.0351E-02 2.78E-06 -4.3503E-01 6.82E-05 -4.5429E+00 3.12E-04 -3.4781E+00 2.36E-05
1.078 4.8244E-02 4.98E-06 6.5500E-01 4.66E-05 4.0587E-02 2.80E-06 -4.3744E-01 6.91E-05 -4.5381E+00 3.12E-04 -3.4739E+00 2.35E-05
1.079 4.8537E-02 5.04E-06 6.5437E-01 4.65E-05 4.0823E-02 2.82E-06 -4.3985E-01 6.99E-05 -4.5333E+00 3.11E-04 -3.4697E+00 2.35E-05
1.080 4.8831E-02 5.10E-06 6.5373E-01 4.64E-05 4.1060E-02 2.83E-06 -4.4227E-01 7.08E-05 -4.5285E+00 3.10E-04 -3.4656E+00 2.35E-05
1.081 4.9127E-02 5.17E-06 6.5310E-01 4.63E-05 4.1298E-02 2.85E-06 -4.4471E-01 7.16E-05 -4.5236E+00 3.09E-04 -3.4614E+00 2.35E-05
1.082 4.9424E-02 5.23E-06 6.5246E-01 4.62E-05 4.1538E-02 2.87E-06 -4.4716E-01 7.25E-05 -4.5188E+00 3.08E-04 -3.4573E+00 2.34E-05
1.083 4.9723E-02 5.30E-06 6.5182E-01 4.60E-05 4.1778E-02 2.89E-06 -4.4962E-01 7.33E-05 -4.5140E+00 3.07E-04 -3.4531E+00 2.34E-05
1.084 5.0024E-02 5.37E-06 6.5118E-01 4.58E-05 4.2019E-02 2.91E-06 -4.5209E-01 7.42E-05 -4.5091E+00 3.06E-04 -3.4490E+00 2.34E-05
1.085 5.0326E-02 5.44E-06 6.5054E-01 4.56E-05 4.2261E-02 2.92E-06 -4.5457E-01 7.50E-05 -4.5042E+00 3.05E-04 -3.4449E+00 2.34E-05
1.086 5.0630E-02 5.51E-06 6.4990E-01 4.54E-05 4.2504E-02 2.94E-06 -4.5707E-01 7.58E-05 -4.4994E+00 3.03E-04 -3.4408E+00 2.34E-05
1.087 5.0936E-02 5.59E-06 6.4925E-01 4.52E-05 4.2748E-02 2.96E-06 -4.5958E-01 7.66E-05 -4.4945E+00 3.02E-04 -3.4367E+00 2.34E-05
1.088 5.1243E-02 5.66E-06 6.4861E-01 4.49E-05 4.2993E-02 2.98E-06 -4.6210E-01 7.74E-05 -4.4896E+00 3.00E-04 -3.4326E+00 2.34E-05
1.089 5.1552E-02 5.74E-06 6.4796E-01 4.46E-05 4.3239E-02 3.00E-06 -4.6463E-01 7.83E-05 -4.4847E+00 2.98E-04 -3.4285E+00 2.34E-05
1.090 5.1862E-02 5.82E-06 6.4731E-01 4.43E-05 4.3486E-02 3.02E-06 -4.6717E-01 7.90E-05 -4.4798E+00 2.96E-04 -3.4244E+00 2.34E-05
1.091 5.2174E-02 5.90E-06 6.4666E-01 4.40E-05 4.3734E-02 3.03E-06 -4.6973E-01 7.98E-05 -4.4749E+00 2.94E-04 -3.4204E+00 2.34E-05
1.092 5.2488E-02 5.99E-06 6.4601E-01 4.36E-05 4.3983E-02 3.05E-06 -4.7230E-01 8.06E-05 -4.4700E+00 2.92E-04 -3.4163E+00 2.34E-05
1.093 5.2804E-02 6.07E-06 6.4536E-01 4.32E-05 4.4232E-02 3.07E-06 -4.7488E-01 8.14E-05 -4.4651E+00 2.89E-04 -3.4123E+00 2.34E-05
1.094 5.3121E-02 6.15E-06 6.4470E-01 4.28E-05 4.4483E-02 3.09E-06 -4.7748E-01 8.22E-05 -4.4602E+00 2.87E-04 -3.4083E+00 2.34E-05
1.095 5.3440E-02 6.24E-06 6.4405E-01 4.24E-05 4.4735E-02 3.11E-06 -4.8009E-01 8.29E-05 -4.4552E+00 2.84E-04 -3.4042E+00 2.34E-05
1.096 5.3761E-02 6.33E-06 6.4339E-01 4.19E-05 4.4988E-02 3.13E-06 -4.8271E-01 8.37E-05 -4.4503E+00 2.81E-04 -3.4002E+00 2.34E-05
1.097 5.4083E-02 6.42E-06 6.4273E-01 4.14E-05 4.5242E-02 3.15E-06 -4.8534E-01 8.44E-05 -4.4453E+00 2.78E-04 -3.3962E+00 2.34E-05
1.098 5.4407E-02 6.51E-06 6.4207E-01 4.09E-05 4.5497E-02 3.17E-06 -4.8799E-01 8.51E-05 -4.4404E+00 2.75E-04 -3.3922E+00 2.34E-05
1.099 5.4734E-02 6.60E-06 6.4141E-01 4.04E-05 4.5753E-02 3.19E-06 -4.9065E-01 8.58E-05 -4.4354E+00 2.72E-04 -3.3882E+00 2.35E-05
1.100 5.5061E-02 6.69E-06 6.4075E-01 3.99E-05 4.6010E-02 3.21E-06 -4.9332E-01 8.65E-05 -4.4304E+00 2.69E-04 -3.3843E+00 2.35E-05
1.101 5.5391E-02 6.78E-06 6.4009E-01 3.93E-05 4.6268E-02 3.23E-06 -4.9600E-01 8.72E-05 -4.4255E+00 2.66E-04 -3.3803E+00 2.35E-05
1.102 5.5722E-02 6.87E-06 6.3942E-01 3.87E-05 4.6527E-02 3.25E-06 -4.9870E-01 8.79E-05 -4.4205E+00 2.62E-04 -3.3764E+00 2.35E-05
1.103 5.6056E-02 6.96E-06 6.3875E-01 3.82E-05 4.6787E-02 3.27E-06 -5.0141E-01 8.85E-05 -4.4155E+00 2.59E-04 -3.3724E+00 2.36E-05
1.104 5.6391E-02 7.06E-06 6.3808E-01 3.76E-05 4.7048E-02 3.29E-06 -5.0414E-01 8.91E-05 -4.4105E+00 2.55E-04 -3.3685E+00 2.36E-05
1.105 5.6728E-02 7.14E-06 6.3741E-01 3.70E-05 4.7310E-02 3.30E-06 -5.0688E-01 8.96E-05 -4.4054E+00 2.52E-04 -3.3646E+00 2.36E-05
1.106 5.7067E-02 7.23E-06 6.3674E-01 3.64E-05 4.7573E-02 3.32E-06 -5.0963E-01 9.01E-05 -4.4004E+00 2.48E-04 -3.3606E+00 2.37E-05
1.107 5.7407E-02 7.32E-06 6.3607E-01 3.58E-05 4.7837E-02 3.34E-06 -5.1240E-01 9.06E-05 -4.3954E+00 2.44E-04 -3.3567E+00 2.37E-05
1.108 5.7750E-02 7.40E-06 6.3539E-01 3.53E-05 4.8102E-02 3.36E-06 -5.1518E-01 9.10E-05 -4.3903E+00 2.41E-04 -3.3528E+00 2.37E-05
1.109 5.8095E-02 7.48E-06 6.3471E-01 3.47E-05 4.8368E-02 3.37E-06 -5.1798E-01 9.13E-05 -4.3853E+00 2.38E-04 -3.3490E+00 2.37E-05
1.110 5.8441E-02 7.55E-06 6.3403E-01 3.42E-05 4.8635E-02 3.39E-06 -5.2079E-01 9.15E-05 -4.3802E+00 2.35E-04 -3.3451E+00 2.37E-05
1.111 5.8790E-02 7.62E-06 6.3335E-01 3.37E-05 4.8903E-02 3.40E-06 -5.2361E-01 9.17E-05 -4.3751E+00 2.32E-04 -3.3412E+00 2.37E-05
1.112 5.9140E-02 7.69E-06 6.3267E-01 3.33E-05 4.9172E-02 3.41E-06 -5.2645E-01 9.18E-05 -4.3701E+00 2.30E-04 -3.3373E+00 2.38E-05
1.113 5.9492E-02 7.75E-06 6.3199E-01 3.30E-05 4.9443E-02 3.42E-06 -5.2931E-01 9.19E-05 -4.3650E+00 2.27E-04 -3.3335E+00 2.38E-05
1.114 5.9847E-02 7.80E-06 6.3130E-01 3.26E-05 4.9714E-02 3.43E-06 -5.3218E-01 9.18E-05 -4.3599E+00 2.25E-04 -3.3297E+00 2.38E-05
1.115 6.0203E-02 7.85E-06 6.3061E-01 3.24E-05 4.9986E-02 3.44E-06 -5.3506E-01 9.17E-05 -4.3548E+00 2.24E-04 -3.3258E+00 2.37E-05
1.116 6.0561E-02 7.89E-06 6.2993E-01 3.22E-05 5.0260E-02 3.44E-06 -5.3796E-01 9.14E-05 -4.3496E+00 2.23E-04 -3.3220E+00 2.37E-05
1.117 6.0922E-02 7.93E-06 6.2923E-01 3.21E-05 5.0534E-02 3.44E-06 -5.4087E-01 9.11E-05 -4.3445E+00 2.22E-04 -3.3182E+00 2.37E-05
1.118 6.1284E-02 7.95E-06 6.2854E-01 3.20E-05 5.0809E-02 3.45E-06 -5.4380E-01 9.07E-05 -4.3394E+00 2.22E-04 -3.3144E+00 2.37E-05
1.119 6.1649E-02 7.97E-06 6.2785E-01 3.21E-05 5.1086E-02 3.45E-06 -5.4675E-01 9.02E-05 -4.3342E+00 2.22E-04 -3.3106E+00 2.37E-05
1.120 6.2015E-02 7.98E-06 6.2715E-01 3.22E-05 5.1363E-02 3.45E-06 -5.4970E-01 8.96E-05 -4.3291E+00 2.23E-04 -3.3068E+00 2.37E-05
1.121 6.2384E-02 7.98E-06 6.2645E-01 3.23E-05 5.1642E-02 3.44E-06 -5.5268E-01 8.89E-05 -4.3239E+00 2.24E-04 -3.3030E+00 2.36E-05
1.122 6.2755E-02 7.98E-06 6.2575E-01 3.26E-05 5.1922E-02 3.44E-06 -5.5567E-01 8.81E-05 -4.3187E+00 2.26E-04 -3.2993E+00 2.36E-05
1.123 6.3128E-02 7.96E-06 6.2505E-01 3.29E-05 5.2202E-02 3.43E-06 -5.5868E-01 8.72E-05 -4.3135E+00 2.28E-04 -3.2955E+00 2.36E-05
1.124 6.3503E-02 7.94E-06 6.2435E-01 3.32E-05 5.2484E-02 3.43E-06 -5.6170E-01 8.62E-05 -4.3083E+00 2.30E-04 -3.2917E+00 2.36E-05
1.125 6.3880E-02 7.90E-06 6.2364E-01 3.37E-05 5.2767E-02 3.42E-06 -5.6474E-01 8.50E-05 -4.3031E+00 2.33E-04 -3.2880E+00 2.36E-05
1.126 6.4260E-02 7.86E-06 6.2293E-01 3.41E-05 5.3051E-02 3.41E-06 -5.6780E-01 8.38E-05 -4.2979E+00 2.36E-04 -3.2843E+00 2.35E-05
1.127 6.4642E-02 7.81E-06 6.2222E-01 3.46E-05 5.3336E-02 3.40E-06 -5.7087E-01 8.25E-05 -4.2927E+00 2.39E-04 -3.2805E+00 2.35E-05
1.128 6.5026E-02 7.75E-06 6.2151E-01 3.52E-05 5.3622E-02 3.39E-06 -5.7396E-01 8.12E-05 -4.2874E+00 2.43E-04 -3.2768E+00 2.35E-05
1.129 6.5412E-02 7.68E-06 6.2079E-01 3.57E-05 5.3909E-02 3.37E-06 -5.7706E-01 7.97E-05 -4.2821E+00 2.46E-04 -3.2731E+00 2.35E-05
1.130 6.5800E-02 7.60E-06 6.2008E-01 3.63E-05 5.4198E-02 3.36E-06 -5.8018E-01 7.81E-05 -4.2769E+00 2.50E-04 -3.2694E+00 2.35E-05
1.131 6.6191E-02 7.51E-06 6.1936E-01 3.69E-05 5.4487E-02 3.35E-06 -5.8332E-01 7.64E-05 -4.2716E+00 2.54E-04 -3.2657E+00 2.35E-05
1.132 6.6584E-02 7.42E-06 6.1864E-01 3.76E-05 5.4777E-02 3.33E-06 -5.8648E-01 7.47E-05 -4.2663E+00 2.58E-04 -3.2621E+00 2.36E-05
1.133 6.6979E-02 7.31E-06 6.1792E-01 3.82E-05 5.5069E-02 3.32E-06 -5.8965E-01 7.28E-05 -4.2610E+00 2.62E-04 -3.2584E+00 2.36E-05
1.134 6.7377E-02 7.20E-06 6.1719E-01 3.88E-05 5.5361E-02 3.31E-06 -5.9284E-01 7.09E-05 -4.2557E+00 2.66E-04 -3.2547E+00 2.36E-05
1.135 6.7777E-02 7.08E-06 6.1647E-01 3.94E-05 5.5655E-02 3.29E-06 -5.9605E-01 6.90E-05 -4.2504E+00 2.70E-04 -3.2511E+00 2.37E-05
1.136 6.8179E-02 6.95E-06 6.1574E-01 4.00E-05 5.5950E-02 3.28E-06 -5.9928E-01 6.69E-05 -4.2450E+00 2.73E-04 -3.2474E+00 2.37E-05
1.137 6.8584E-02 6.82E-06 6.1501E-01 4.06E-05 5.6245E-02 3.27E-06 -6.0252E-01 6.48E-05 -4.2397E+00 2.77E-04 -3.2438E+00 2.38E-05
1.138 6.8992E-02 6.68E-06 6.1427E-01 4.12E-05 5.6542E-02 3.26E-06 -6.0579E-01 6.27E-05 -4.2343E+00 2.81E-04 -3.2402E+00 2.38E-05
1.139 6.9401E-02 6.53E-06 6.1354E-01 4.17E-05 5.6840E-02 3.25E-06 -6.0907E-01 6.05E-05 -4.2290E+00 2.84E-04 -3.2365E+00 2.39E-05
1.140 6.9813E-02 6.39E-06 6.1280E-01 4.22E-05 5.7140E-02 3.24E-06 -6.1237E-01 5.83E-05 -4.2236E+00 2.87E-04 -3.2329E+00 2.40E-05
1.141 7.0228E-02 6.23E-06 6.1206E-01 4.27E-05 5.7440E-02 3.23E-06 -6.1569E-01 5.61E-05 -4.2182E+00 2.90E-04 -3.2293E+00 2.40E-05
1.142 7.0645E-02 6.08E-06 6.1132E-01 4.31E-05 5.7741E-02 3.23E-06 -6.1902E-01 5.39E-05 -4.2128E+00 2.93E-04 -3.2257E+00 2.41E-05
1.143 7.1065E-02 5.92E-06 6.1057E-01 4.35E-05 5.8044E-02 3.23E-06 -6.2238E-01 5.17E-05 -4.2073E+00 2.96E-04 -3.2222E+00 2.42E-05
1.144 7.1487E-02 5.77E-06 6.0983E-01 4.39E-05 5.8347E-02 3.23E-06 -6.2575E-01 4.95E-05 -4.2019E+00 2.98E-04 -3.2186E+00 2.43E-05
1.145 7.1912E-02 5.61E-06 6.0908E-01 4.42E-05 5.8652E-02 3.23E-06 -6.2915E-01 4.74E-05 -4.1965E+00 3.00E-04 -3.2150E+00 2.44E-05
1.146 7.2340E-02 5.46E-06 6.0832E-01 4.45E-05 5.8958E-02 3.23E-06 -6.3256E-01 4.54E-05 -4.1910E+00 3.02E-04 -3.2114E+00 2.45E-05
1.147 7.2770E-02 5.32E-06 6.0757E-01 4.47E-05 5.9265E-02 3.24E-06 -6.3600E-01 4.35E-05 -4.1855E+00 3.03E-04 -3.2079E+00 2.46E-05
1.148 7.3203E-02 5.18E-06 6.0681E-01 4.49E-05 5.9573E-02 3.25E-06 -6.3945E-01 4.16E-05 -4.1800E+00 3.04E-04 -3.2043E+00 2.47E-05
1.149 7.3638E-02 5.05E-06 6.0605E-01 4.50E-05 5.9882E-02 3.27E-06 -6.4292E-01 4.00E-05 -4.1745E+00 3.05E-04 -3.2008E+00 2.49E-05
1.150 7.4077E-02 4.93E-06 6.0529E-01 4.51E-05 6.0192E-02 3.29E-06 -6.4642E-01 3.85E-05 -4.1690E+00 3.06E-04 -3.1973E+00 2.50E-05
1.151 7.4517E-02 4.83E-06 6.0453E-01 4.52E-05 6.0504E-02 3.31E-06 -6.4994E-01 3.72E-05 -4.1635E+00 3.06E-04 -3.1938E+00 2.51E-05
1.152 7.4961E-02 4.74E-06 6.0376E-01 4.52E-05 6.0816E-02 3.33E-06 -6.5347E-01 3.61E-05 -4.1579E+00 3.06E-04 -3.1903E+00 2.52E-05
1.153 7.5408E-02 4.66E-06 6.0299E-01 4.52E-05 6.1130E-02 3.36E-06 -6.5703E-01 3.53E-05 -4.1524E+00 3.06E-04 -3.1868E+00 2.53E-05
1.154 7.5857E-02 4.61E-06 6.0222E-01 4.51E-05 6.1445E-02 3.39E-06 -6.6061E-01 3.48E-05 -4.1468E+00 3.05E-04 -3.1833E+00 2.54E-05
1.155 7.6309E-02 4.58E-06 6.0145E-01 4.51E-05 6.1761E-02 3.42E-06 -6.6421E-01 3.46E-05 -4.1412E+00 3.05E-04 -3.1798E+00 2.55E-05
1.156 7.6764E-02 4.57E-06 6.0067E-01 4.49E-05 6.2078E-02 3.46E-06 -6.6783E-01 3.46E-05 -4.1356E+00 3.04E-04 -3.1763E+00 2.56E-05
1.157 7.7223E-02 4.58E-06 5.9989E-01 4.48E-05 6.2396E-02 3.50E-06 -6.7148E-01 3.49E-05 -4.1300E+00 3.03E-04 -3.1728E+00 2.56E-05
1.158 7.7684E-02 4.62E-06 5.9911E-01 4.47E-05 6.2716E-02 3.55E-06 -6.7514E-01 3.55E-05 -4.1244E+00 3.02E-04 -3.1694E+00 2.57E-05
1.159 7.8148E-02 4.67E-06 5.9832E-01 4.45E-05 6.3036E-02 3.59E-06 -6.7883E-01 3.63E-05 -4.1188E+00 3.00E-04 -3.1659E+00 2.58E-05
1.160 7.8615E-02 4.75E-06 5.9753E-01 4.43E-05 6.3358E-02 3.64E-06 -6.8255E-01 3.73E-05 -4.1131E+00 2.99E-04 -3.1625E+00 2.58E-05
1.161 7.9085E-02 4.85E-06 5.9674E-01 4.41E-05 6.3681E-02 3.69E-06 -6.8628E-01 3.85E-05 -4.1074E+00 2.97E-04 -3.1590E+00 2.59E-05
1.162 7.9558E-02 4.96E-06 5.9595E-01 4.39E-05 6.4005E-02 3.74E-06 -6.9004E-01 3.98E-05 -4.1017E+00 2.96E-04 -3.1556E+00 2.59E-05
1.163 8.0034E-02 5.10E-06 5.9515E-01 4.37E-05 6.4330E-02 3.80E-06 -6.9383E-01 4.12E-05 -4.0960E+00 2.94E-04 -3.1522E+00 2.59E-05
1.164 8.0514E-02 5.24E-06 5.9435E-01 4.36E-05 6.4656E-02 3.86E-06 -6.9764E-01 4.27E-05 -4.0903E+00 2.93E-04 -3.1488E+00 2.60E-05
1.165 8.0996E-02 5.40E-06 5.9355E-01 4.34E-05 6.4984E-02 3.91E-06 -7.0147E-01 4.43E-05 -4.0846E+00 2.91E-04 -3.1453E+00 2.60E-05
1.166 8.1482E-02 5.57E-06 5.9275E-01 4.32E-05 6.5313E-02 3.97E-06 -7.0533E-01 4.59E-05 -4.0788E+00 2.90E-04 -3.1419E+00 2.60E-05
1.167 8.1971E-02 5.74E-06 5.9194E-01 4.31E-05 6.5643E-02 4.04E-06 -7.0921E-01 4.75E-05 -4.0731E+00 2.89E-04 -3.1386E+00 2.60E-05
1.168 8.2464E-02 5.92E-06 5.9113E-01 4.30E-05 6.5974E-02 4.10E-06 -7.1312E-01 4.91E-05 -4.0673E+00 2.87E-04 -3.1352E+00 2.59E-05
1.169 8.2960E-02 6.10E-06 5.9032E-01 4.29E-05 6.6306E-02 4.16E-06 -7.1705E-01 5.05E-05 -4.0615E+00 2.87E-04 -3.1318E+00 2.59E-05
1.170 8.3459E-02 6.29E-06 5.8950E-01 4.28E-05 6.6639E-02 4.22E-06 -7.2101E-01 5.21E-05 -4.0557E+00 2.86E-04 -3.1284E+00 2.59E-05
1.171 8.3962E-02 6.49E-06 5.8868E-01 4.28E-05 6.6974E-02 4.29E-06 -7.2500E-01 5.38E-05 -4.0499E+00 2.85E-04 -3.1251E+00 2.58E-05
1.172 8.4468E-02 6.68E-06 5.8786E-01 4.28E-05 6.7310E-02 4.35E-06 -7.2902E-01 5.52E-05 -4.0440E+00 2.85E-04 -3.1217E+00 2.57E-05
1.173 8.4978E-02 6.87E-06 5.8703E-01 4.28E-05 6.7647E-02 4.41E-06 -7.3306E-01 5.66E-05 -4.0381E+00 2.85E-04 -3.1184E+00 2.57E-05
1.174 8.5491E-02 7.06E-06 5.8620E-01 4.29E-05 6.7985E-02 4.47E-06 -7.3713E-01 5.79E-05 -4.0323E+00 2.85E-04 -3.1150E+00 2.56E-05
1.175 8.6008E-02 7.24E-06 5.8537E-01 4.30E-05 6.8324E-02 4.54E-06 -7.4123E-01 5.92E-05 -4.0264E+00 2.85E-04 -3.1117E+00 2.55E-05
1.176 8.6529E-02 7.42E-06 5.8453E-01 4.31E-05 6.8665E-02 4.60E-06 -7.4536E-01 6.03E-05 -4.0204E+00 2.85E-04 -3.1084E+00 2.54E-05
1.177 8.7053E-02 7.59E-06 5.8369E-01 4.32E-05 6.9007E-02 4.66E-06 -7.4952E-01 6.14E-05 -4.0145E+00 2.86E-04 -3.1051E+00 2.52E-05
1.178 8.7581E-02 7.76E-06 5.8285E-01 4.34E-05 6.9350E-02 4.72E-06 -7.5371E-01 6.24E-05 -4.0086E+00 2.87E-04 -3.1018E+00 2.51E-05
1.179 8.8113E-02 7.92E-06 5.8200E-01 4.36E-05 6.9694E-02 4.78E-06 -7.5793E-01 6.32E-05 -4.0026E+00 2.88E-04 -3.0985E+00 2.50E-05
1.180 8.8649E-02 8.07E-06 5.8115E-01 4.38E-05 7.0040E-02 4.83E-06 -7.6218E-01 6.40E-05 -3.9966E+00 2.89E-04 -3.0952E+00 2.48E-05
1.181 8.9189E-02 8.22E-06 5.8030E-01 4.40E-05 7.0386E-02 4.89E-06 -7.6646E-01 6.47E-05 -3.9906E+00 2.90E-04 -3.0919E+00 2.47E-05
1.182 8.9734E-02 8.35E-06 5.7944E-01 4.42E-05 7.0734E-02 4.94E-06 -7.7078E-01 6.53E-05 -3.9846E+00 2.91E-04 -3.0886E+00 2.45E-05
1.183 9.0282E-02 8.48E-06 5.7858E-01 4.45E-05 7.1083E-02 5.00E-06 -7.7513E-01 6.59E-05 -3.9785E+00 2.92E-04 -3.0853E+00 2.43E-05
1.184 9.0834E-02 8.60E-06 5.7771E-01 4.47E-05 7.1434E-02 5.05E-06 -7.7951E-01 6.63E-05 -3.9724E+00 2.94E-04 -3.0821E+00 2.42E-05
1.185 9.1391E-02 8.72E-06 5.7684E-01 4.49E-05 7.1785E-02 5.10E-06 -7.8393E-01 6.66E-05 -3.9664E+00 2.95E-04 -3.0788E+00 2.40E-05
1.186 9.1952E-02 8.82E-06 5.7597E-01 4.51E-05 7.2138E-02 5.15E-06 -7.8838E-01 6.69E-05 -3.9602E+00 2.96E-04 -3.0756E+00 2.38E-05
1.187 9.2517E-02 8.92E-06 5.7509E-01 4.53E-05 7.2492E-02 5.20E-06 -7.9287E-01 6.71E-05 -3.9541E+00 2.97E-04 -3.0723E+00 2.36E-05
1.188 9.3087E-02 9.00E-06 5.7421E-01 4.55E-05 7.2848E-02 5.24E-06 -7.9740E-01 6.72E-05 -3.9480E+00 2.99E-04 -3.0691E+00 2.34E-05
1.189 9.3661E-02 8.96E-06 5.7333E-01 4.56E-05 7.3204E-02 5.29E-06 -8.0196E-01 6.45E-05 -3.9418E+00 3.00E-04 -3.0659E+00 2.32E-05
1.190 9.4240E-02 9.07E-06 5.7244E-01 4.58E-05 7.3562E-02 5.33E-06 -8.0656E-01 6.61E-05 -3.9356E+00 3.01E-04 -3.0627E+00 2.30E-05
1.191 9.4823E-02 9.12E-06 5.7154E-01 4.59E-05 7.3921E-02 5.37E-06 -8.1120E-01 6.59E-05 -3.9294E+00 3.01E-04 -3.0594E+00 2.28E-05
1.192 9.5412E-02 9.16E-06 5.7065E-01 4.59E-05 7.4281E-02 5.41E-06 -8.1588E-01 6.56E-05 -3.9231E+00 3.02E-04 -3.0562E+00 2.26E-05
1.193 9.6005E-02 9.30E-06 5.6974E-01 4.60E-05 7.4643E-02 5.45E-06 -8.2059E-01 6.67E-05 -3.9169E+00 3.02E-04 -3.0530E+00 2.24E-05
1.194 9.6603E-02 9.34E-06 5.6884E-01 4.60E-05 7.5006E-02 5.49E-06 -8.2535E-01 6.64E-05 -3.9106E+00 3.02E-04 -3.0499E+00 2.22E-05
1.195 9.7206E-02 9.37E-06 5.6792E-01 4.59E-05 7.5370E-02 5.53E-06 -8.3016E-01 6.61E-05 -3.9043E+00 3.02E-04 -3.0467E+00 2.20E-05
1.196 9.7814E-02 9.39E-06 5.6701E-01 4.58E-05 7.5735E-02 5.56E-06 -8.3501E-01 6.58E-05 -3.8979E+00 3.02E-04 -3.0435E+00 2.18E-05
1.197 9.8428E-02 9.40E-06 5.6608E-01 4.57E-05 7.6102E-02 5.60E-06 -8.3990E-01 6.54E-05 -3.8915E+00 3.01E-04 -3.0403E+00 2.16E-05
1.198 9.9047E-02 9.41E-06 5.6516E-01 4.56E-05 7.6470E-02 5.63E-06 -8.4484E-01 6.50E-05 -3.8852E+00 3.00E-04 -3.0372E+00 2.14E-05
1.199 9.9672E-02 9.41E-06 5.6422E-01 4.54E-05 7.6839E-02 5.67E-06 -8.4983E-01 6.46E-05 -3.8787E+00 2.99E-04 -3.0340E+00 2.12E-05
1.200 1.0030E-01 9.41E-06 5.6329E-01 4.51E-05 7.7210E-02 5.70E-06 -8.5486E-01 6.42E-05 -3.8723E+00 2.98E-04 -3.0309E+00 2.10E-05

Lennard-Jones LRC, 3\sigma, Vapor-Liquid Diagram, T-rho projection
Lennard-Jones LRC, 3\sigma, Vapor-Liquid Diagram, p-rho projection

Data Availability:

Particle number probability distributions and canonical energy averages used to generate the table and plots above are available in a Git repository:


Uncertainties were obtained from four independent simulations and represent 67% confidence limits based on a standard t statistic. Liquid-vapor coexistence was determined by adjusting the activity such that the pressures of the liquid and vapor phases were equal. Here, the pressure is not the conventional virial pressure [2,3] but is the actual thermodynamic pressure, based on the fact that the absolute free energies can be obtained from the distributions determined from simulation [4]. Alternative methods, for example Gibbs-ensemble Monte Carlo and combination grand-canonical Monte Carlo and histogram re-weighting, can be used to determine liquid-vapor coexistence. A review of standard methods of phase equilibria simulations can be found in Ref. 5.

As introduced in Refs. 2 and 3, the activity, z, is defined as

$$ z = \dfrac{\exp \left( \beta \mu \right)}{\lambda^3}$$

where Λ is the de Broglie wavelength, β = 1/(kBT) (where kB is Boltzmann's constant), and μ is the chemical potential. It is sometimes more convenient to work with ln z in the simulations and in post-processing. (NOTE: The reported activity is dimensionless, having been scaled by the LJ length cubed.)

For the Lennard-Jones fluid, cut at 3.0σ with analytic long-range corrections, the critical properties were estimated to be Tc*=1.291, ρc*=0.317, and pc*=0.117. Estimates were found via rectilinear diameter analysis of TMMC data computed with V*=512 close to the critical point [7]. (Finite-size scaling analysis has not been completed, so these critical properties should be taken simply as estimates.)


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  2. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, New York, 1989).
  3. D. Frenkel and B. Smit, Understanding Molecular Simulation, 2nd ed. (Academic, San Diego, 2002)., pp.37-38.
  4. J. R. Errington and A. Z. Panagiotopoulos, J. Chem. Phys., 109, 1093 (1998).
  5. A. Z. Panagiotopoulos, J. Phys.: Condens. Matter, 12, R25-R52, (2000).
  6. J. R. Errington and V. K. Shen, J. Chem. Phys., 123, 164103 (2005).
  7. B. Smit and C. P. Williams, J. Phys.: Condens. Matter, 2, 4281-4288 (1990).
  8. V. K. Shen and D. W. Siderius, J. Chem. Phys., 140, 244106, 2014.
  9. V. K. Shen and J. R. Errington, JPC B 108, 19595, 2004.
  10. V. K. Shen and J. R. Errington, JCP 122, 064508, 2005.
  11. V. K. Shen, R. D. Mountain, and J. R. Errington, JPC B 111, 6198, 2007.
  12. D. W. Siderius and V. K. Shen, JPC C 117, 5681, 2013.
  13. N. A. Mahynski, M. A. Blanco, J. R. Errington, and V. K. Shen, JCP 146, 074101 (2017).
  14. N. A. Mahynski, J. R. Errington, and V. K. Shen, JCP 147, 054105 (2017).
  15. J. I. Monroe, H. W. Hatch, N. A. Mahynski, M. S. Shell, and V. K. Shen, JCP 153, 144101 (2020).
Created August 20, 2012, Updated April 18, 2023