## Normal Shock Wave and Expansion Wave Table

Pressure, Mach number and temperature changes through normal shock waves. Prandtl-Meyer angle and Mach angle for expanding flows. ( Gamma = 7/5)

Notation :
M1=Mach number of stream flow
M2=Mach number of flow after passing through normal shock wave
nu=Prandtl-Meyer angle, (deg), for expanding flow from M=1 to M1
mu=Mach angle, (deg), (sin^(-1)(1/M1)) of minimal oblique wave for M1
P2/P1=Static pressure ratio across normal shock wave
d2/d1=Density ratio across normal shock wave
T2/T1=Temperature ratio across normal shock wave
Po2/Po1=Stagnation pressure ratio across normal shock wave

``` ----------------------------------------------------------------------
|  M1 	    nu      mu        M2     P2/P1    d2/d1    T2/T1   Po2/Po1 |
|----------------------------------------------------------------------|
|  1.00 |  0.000 | 90.000 | 1.0000 | 1.000 | 1.0000 | 1.0000 | 1.0000  |
|  1.01 |  0.045 | 81.931 | 0.9901 | 1.023 | 1.0167 | 1.0066 | 1.0000  |
|  1.02 |  0.126 | 78.635 | 0.9805 | 1.047 | 1.0334 | 1.0132 | 1.0000  |
|  1.03 |  0.229 | 76.138 | 0.9712 | 1.071 | 1.0502 | 1.0198 | 1.0000  |
|  1.04 |  0.351 | 74.058 | 0.9620 | 1.095 | 1.0671 | 1.0263 | 0.9999  |
|  1.05 |  0.487 | 72.247 | 0.9531 | 1.120 | 1.0840 | 1.0328 | 0.9999  |
|  1.06 |  0.637 | 70.630 | 0.9444 | 1.144 | 1.1009 | 1.0393 | 0.9998  |
|  1.07 |  0.797 | 69.160 | 0.9360 | 1.169 | 1.1179 | 1.0458 | 0.9996  |
|  1.08 |  0.968 | 67.808 | 0.9277 | 1.194 | 1.1349 | 1.0522 | 0.9994  |
|  1.09 |  1.148 | 66.553 | 0.9196 | 1.219 | 1.1520 | 1.0586 | 0.9992  |
|  1.10 |  1.336 | 65.380 | 0.9118 | 1.245 | 1.1691 | 1.0649 | 0.9989  |
|  1.11 |  1.532 | 64.277 | 0.9041 | 1.271 | 1.1862 | 1.0713 | 0.9986  |
|  1.12 |  1.735 | 63.234 | 0.8966 | 1.297 | 1.2034 | 1.0776 | 0.9982  |
|  1.13 |  1.944 | 62.246 | 0.8892 | 1.323 | 1.2206 | 1.0840 | 0.9978  |
|  1.14 |  2.160 | 61.306 | 0.8820 | 1.350 | 1.2378 | 1.0903 | 0.9973  |
|  1.15 |  2.381 | 60.408 | 0.8750 | 1.376 | 1.2550 | 1.0966 | 0.9967  |
|  1.16 |  2.607 | 59.550 | 0.8682 | 1.403 | 1.2723 | 1.1029 | 0.9961  |
|  1.17 |  2.839 | 58.727 | 0.8615 | 1.430 | 1.2896 | 1.1092 | 0.9953  |
|  1.18 |  3.074 | 57.936 | 0.8549 | 1.458 | 1.3069 | 1.1154 | 0.9946  |
|  1.19 |  3.314 | 57.176 | 0.8485 | 1.485 | 1.3243 | 1.1217 | 0.9937  |
|  1.20 |  3.558 | 56.443 | 0.8422 | 1.513 | 1.3416 | 1.1280 | 0.9928  |
|  1.21 |  3.806 | 55.735 | 0.8360 | 1.541 | 1.3590 | 1.1343 | 0.9918  |
|  1.22 |  4.057 | 55.052 | 0.8300 | 1.570 | 1.3764 | 1.1405 | 0.9907  |
|  1.23 |  4.312 | 54.391 | 0.8241 | 1.598 | 1.3938 | 1.1468 | 0.9896  |
|  1.24 |  4.569 | 53.751 | 0.8183 | 1.627 | 1.4112 | 1.1531 | 0.9884  |
|  1.25 |  4.830 | 53.130 | 0.8126 | 1.656 | 1.4286 | 1.1594 | 0.9871  |
|  1.26 |  5.093 | 52.528 | 0.8071 | 1.686 | 1.4460 | 1.1657 | 0.9857  |
|  1.27 |  5.359 | 51.943 | 0.8016 | 1.715 | 1.4634 | 1.1720 | 0.9842  |
|  1.28 |  5.627 | 51.375 | 0.7963 | 1.745 | 1.4808 | 1.1783 | 0.9827  |
|  1.29 |  5.898 | 50.823 | 0.7911 | 1.775 | 1.4983 | 1.1846 | 0.9811  |
|  1.30 |  6.170 | 50.285 | 0.7860 | 1.805 | 1.5157 | 1.1909 | 0.9794  |
|  1.31 |  6.445 | 49.761 | 0.7809 | 1.835 | 1.5331 | 1.1972 | 0.9776  |
|  1.32 |  6.721 | 49.251 | 0.7760 | 1.866 | 1.5505 | 1.2035 | 0.9758  |
|  1.33 |  7.000 | 48.753 | 0.7712 | 1.897 | 1.5680 | 1.2099 | 0.9738  |
|  1.34 |  7.279 | 48.268 | 0.7664 | 1.928 | 1.5854 | 1.2162 | 0.9718  |
|  1.35 |  7.561 | 47.795 | 0.7618 | 1.960 | 1.6028 | 1.2226 | 0.9697  |
|  1.36 |  7.844 | 47.332 | 0.7572 | 1.991 | 1.6202 | 1.2290 | 0.9676  |
|  1.37 |  8.128 | 46.880 | 0.7527 | 2.023 | 1.6376 | 1.2354 | 0.9653  |
|  1.38 |  8.413 | 46.439 | 0.7483 | 2.055 | 1.6549 | 1.2418 | 0.9630  |
|  1.39 |  8.699 | 46.007 | 0.7440 | 2.087 | 1.6723 | 1.2482 | 0.9607  |
|  1.40 |  8.987 | 45.585 | 0.7397 | 2.120 | 1.6897 | 1.2547 | 0.9582  |
|  1.41 |  9.276 | 45.171 | 0.7355 | 2.153 | 1.7070 | 1.2612 | 0.9557  |
|  1.42 |  9.565 | 44.767 | 0.7314 | 2.186 | 1.7243 | 1.2676 | 0.9531  |
|  1.43 |  9.855 | 44.371 | 0.7274 | 2.219 | 1.7416 | 1.2741 | 0.9504  |
|  1.44 | 10.146 | 43.983 | 0.7235 | 2.253 | 1.7589 | 1.2807 | 0.9473  |
|  1.45 | 10.438 | 43.603 | 0.7196 | 2.286 | 1.7761 | 1.2872 | 0.9448  |
|  1.46 | 10.731 | 43.230 | 0.7157 | 2.320 | 1.7934 | 1.2938 | 0.9420  |
|  1.47 | 11.023 | 42.865 | 0.7120 | 2.354 | 1.8106 | 1.3003 | 0.9390  |
|  1.48 | 11.317 | 42.507 | 0.7083 | 2.389 | 1.8278 | 1.3069 | 0.9360  |
|  1.49 | 11.611 | 42.155 | 0.7047 | 2.423 | 1.8449 | 1.3136 | 0.9329  |
|  1.50 | 11.905 | 41.810 | 0.7011 | 2.458 | 1.8621 | 1.3202 | 0.9298  |
|  1.51 | 12.200 | 41.472 | 0.6976 | 2.493 | 1.8792 | 1.3269 | 0.9266  |
|  1.52 | 12.495 | 41.140 | 0.6941 | 2.529 | 1.8963 | 1.3336 | 0.9233  |
|  1.53 | 12.790 | 40.813 | 0.6907 | 2.564 | 1.9133 | 1.3403 | 0.9200  |
|  1.54 | 13.086 | 40.493 | 0.6874 | 2.600 | 1.9303 | 1.3470 | 0.9166  |
|  1.55 | 13.381 | 40.178 | 0.6841 | 2.636 | 1.9473 | 1.3538 | 0.9132  |
|  1.56 | 13.677 | 39.868 | 0.6809 | 2.673 | 1.9643 | 1.3606 | 0.9097  |
|  1.57 | 13.973 | 39.564 | 0.6777 | 2.709 | 1.9812 | 1.3674 | 0.9062  |
|  1.58 | 14.269 | 39.265 | 0.6746 | 2.746 | 1.9981 | 1.3742 | 0.9026  |
|  1.59 | 14.565 | 38.971 | 0.6715 | 2.783 | 2.0149 | 1.3811 | 0.8989  |
|  1.60 | 14.860 | 38.682 | 0.6684 | 2.820 | 2.0317 | 1.3880 | 0.8952  |
|  1.61 | 15.156 | 38.398 | 0.6655 | 2.857 | 2.0485 | 1.3949 | 0.8915  |
|  1.62 | 15.452 | 38.118 | 0.6625 | 2.895 | 2.0653 | 1.4018 | 0.8877  |
|  1.63 | 15.747 | 37.843 | 0.6596 | 2.933 | 2.0820 | 1.4088 | 0.8838  |
|  1.64 | 16.043 | 37.572 | 0.6568 | 2.971 | 2.0986 | 1.4158 | 0.8799  |
|  1.65 | 16.338 | 37.305 | 0.6540 | 3.010 | 2.1152 | 1.4228 | 0.8760  |
|  1.66 | 16.633 | 37.043 | 0.6512 | 3.048 | 2.1318 | 1.4299 | 0.8720  |
|  1.67 | 16.928 | 36.784 | 0.6485 | 3.087 | 2.1484 | 1.4369 | 0.8680  |
|  1.68 | 17.222 | 36.530 | 0.6458 | 3.126 | 2.1649 | 1.4440 | 0.8639  |
|  1.69 | 17.516 | 36.279 | 0.6431 | 3.165 | 2.1813 | 1.4512 | 0.8599  |
|  1.70 | 17.810 | 36.032 | 0.6405 | 3.205 | 2.1977 | 1.4583 | 0.8557  |
|  1.71 | 18.103 | 35.789 | 0.6380 | 3.245 | 2.2141 | 1.4655 | 0.8516  |
|  1.72 | 18.396 | 35.549 | 0.6355 | 3.285 | 2.2304 | 1.4727 | 0.8474  |
|  1.73 | 18.689 | 35.312 | 0.6330 | 3.325 | 2.2467 | 1.4800 | 0.8431  |
|  1.74 | 18.981 | 35.080 | 0.6305 | 3.366 | 2.2629 | 1.4873 | 0.8389  |
|  1.75 | 19.273 | 34.850 | 0.6281 | 3.406 | 2.2791 | 1.4946 | 0.8346  |
|  1.76 | 19.565 | 34.624 | 0.6257 | 3.447 | 2.2952 | 1.5019 | 0.8302  |
|  1.77 | 19.855 | 34.400 | 0.6234 | 3.488 | 2.3113 | 1.5093 | 0.8259  |
|  1.78 | 20.146 | 34.180 | 0.6210 | 3.530 | 2.3273 | 1.5167 | 0.8215  |
|  1.79 | 20.436 | 33.963 | 0.6188 | 3.571 | 2.3433 | 1.5241 | 0.8171  |
|  1.80 | 20.725 | 33.749 | 0.6165 | 3.613 | 2.3592 | 1.5316 | 0.8127  |
|  1.81 | 21.014 | 33.538 | 0.6143 | 3.655 | 2.3751 | 1.5391 | 0.8082  |
|  1.82 | 21.302 | 33.329 | 0.6121 | 3.698 | 2.3909 | 1.5466 | 0.8038  |
|  1.83 | 21.590 | 33.124 | 0.6099 | 3.740 | 2.4067 | 1.5541 | 0.7993  |
|  1.84 | 21.877 | 32.921 | 0.6078 | 3.783 | 2.4224 | 1.5617 | 0.7948  |
|  1.85 | 22.163 | 32.720 | 0.6057 | 3.826 | 2.4381 | 1.5693 | 0.7902  |
|  1.86 | 22.449 | 32.523 | 0.6036 | 3.870 | 2.4537 | 1.5770 | 0.7857  |
|  1.87 | 22.734 | 32.328 | 0.6016 | 3.913 | 2.4693 | 1.5847 | 0.7811  |
|  1.88 | 23.019 | 32.135 | 0.5996 | 3.957 | 2.4848 | 1.5924 | 0.7765  |
|  1.89 | 23.303 | 31.945 | 0.5976 | 4.001 | 2.5003 | 1.6001 | 0.7720  |
|  1.90 | 23.586 | 31.757 | 0.5956 | 4.045 | 2.5157 | 1.6079 | 0.7674  |
|  1.91 | 23.869 | 31.571 | 0.5937 | 4.089 | 2.5310 | 1.6157 | 0.7627  |
|  1.92 | 24.151 | 31.388 | 0.5918 | 4.134 | 2.5463 | 1.6236 | 0.7581  |
|  1.93 | 24.432 | 31.207 | 0.5899 | 4.179 | 2.5616 | 1.6314 | 0.7535  |
|  1.94 | 24.712 | 31.028 | 0.5880 | 4.224 | 2.5767 | 1.6394 | 0.7488  |
|  1.95 | 24.992 | 30.852 | 0.5862 | 4.270 | 2.5919 | 1.6473 | 0.7442  |
|  1.96 | 25.271 | 30.677 | 0.5844 | 4.315 | 2.6069 | 1.6553 | 0.7395  |
|  1.97 | 25.549 | 30.505 | 0.5826 | 4.361 | 2.6220 | 1.6633 | 0.7349  |
|  1.98 | 25.827 | 30.335 | 0.5808 | 4.407 | 2.6369 | 1.6713 | 0.7302  |
|  1.99 | 26.104 | 30.166 | 0.5791 | 4.453 | 2.6518 | 1.6794 | 0.7255  |
|  2.00 | 26.380 | 30.000 | 0.5774 | 4.500 | 2.6667 | 1.6875 | 0.7209  |
|  2.01 | 26.655 | 29.836 | 0.5757 | 4.547 | 2.6815 | 1.6956 | 0.7162  |
|  2.02 | 26.930 | 29.673 | 0.5740 | 4.594 | 2.6962 | 1.7038 | 0.7115  |
|  2.03 | 27.203 | 29.512 | 0.5723 | 4.641 | 2.7109 | 1.7120 | 0.7069  |
|  2.04 | 27.476 | 29.353 | 0.5707 | 4.689 | 2.7255 | 1.7203 | 0.7022  |
|  2.05 | 27.748 | 29.196 | 0.5691 | 4.736 | 2.7400 | 1.7285 | 0.6975  |
|  2.06 | 28.020 | 29.041 | 0.5675 | 4.784 | 2.7545 | 1.7369 | 0.6928  |
|  2.07 | 28.290 | 28.888 | 0.5659 | 4.832 | 2.7689 | 1.7452 | 0.6882  |
|  2.08 | 28.560 | 28.736 | 0.5643 | 4.881 | 2.7833 | 1.7536 | 0.6835  |
|  2.09 | 28.829 | 28.585 | 0.5628 | 4.929 | 2.7976 | 1.7620 | 0.6789  |
|  2.10 | 29.097 | 28.437 | 0.5613 | 4.978 | 2.8119 | 1.7705 | 0.6742  |
|  2.11 | 29.364 | 28.290 | 0.5598 | 5.027 | 2.8261 | 1.7789 | 0.6696  |
|  2.12 | 29.631 | 28.145 | 0.5583 | 5.077 | 2.8402 | 1.7875 | 0.6649  |
|  2.13 | 29.896 | 28.001 | 0.5568 | 5.126 | 2.8543 | 1.7960 | 0.6603  |
|  2.14 | 30.161 | 27.859 | 0.5554 | 5.176 | 2.8683 | 1.8046 | 0.6557  |
|  2.15 | 30.425 | 27.718 | 0.5540 | 5.226 | 2.8823 | 1.8132 | 0.6511  |
|  2.16 | 30.688 | 27.578 | 0.5525 | 5.277 | 2.8962 | 1.8219 | 0.6464  |
|  2.17 | 30.951 | 27.441 | 0.5511 | 5.327 | 2.9101 | 1.8306 | 0.6419  |
|  2.18 | 31.212 | 27.304 | 0.5498 | 5.378 | 2.9238 | 1.8393 | 0.6373  |
|  2.19 | 31.473 | 27.169 | 0.5484 | 5.429 | 2.9376 | 1.8481 | 0.6327  |
|  2.20 | 21.732 | 27.036 | 0.5471 | 5.480 | 2.9512 | 1.8569 | 0.6281  |
|  2.21 | 31.991 | 26.903 | 0.5457 | 5.531 | 2.9648 | 1.8657 | 0.6236  |
|  2.22 | 32.249 | 26.773 | 0.5444 | 5.583 | 2.9784 | 1.8746 | 0.6191  |
|  2.23 | 32.507 | 26.643 | 0.5431 | 5.635 | 2.9918 | 1.8835 | 0.6145  |
|  2.24 | 32.763 | 26.515 | 0.5418 | 5.687 | 3.0053 | 1.8924 | 0.6100  |
|  2.25 | 33.018 | 26.388 | 0.5406 | 5.740 | 3.0186 | 1.9014 | 0.6055  |
|  2.26 | 33.273 | 26.262 | 0.5393 | 5.792 | 3.0319 | 1.9104 | 0.6011  |
|  2.27 | 33.527 | 26.138 | 0.5381 | 5.845 | 3.0452 | 1.9194 | 0.5966  |
|  2.28 | 33.780 | 26.014 | 0.5368 | 5.898 | 3.0584 | 1.9285 | 0.5921  |
|  2.29 | 34.032 | 25.892 | 0.5356 | 5.951 | 3.0715 | 1.9376 | 0.5877  |
|  2.30 | 34.283 | 25.771 | 0.5344 | 6.005 | 3.0845 | 1.9468 | 0.5833  |
|  2.31 | 34.533 | 25.652 | 0.5332 | 6.059 | 3.0976 | 1.9560 | 0.5789  |
|  2.32 | 34.782 | 25.533 | 0.5321 | 6.113 | 3.1105 | 1.9652 | 0.5745  |
|  2.33 | 35.031 | 25.416 | 0.5309 | 6.167 | 3.1234 | 1.9745 | 0.5702  |
|  2.34 | 35.279 | 25.300 | 0.5297 | 6.222 | 3.1362 | 1.9838 | 0.5658  |
|  2.35 | 35.526 | 25.184 | 0.5286 | 6.276 | 3.1490 | 1.9931 | 0.5615  |
|  2.36 | 35.771 | 25.070 | 0.5275 | 6.331 | 3.1617 | 2.0025 | 0.5572  |
|  2.37 | 36.017 | 24.957 | 0.5264 | 6.386 | 3.1743 | 2.0119 | 0.5529  |
|  2.38 | 36.261 | 24.845 | 0.5253 | 6.442 | 3.1869 | 2.0213 | 0.5486  |
|  2.39 | 36.504 | 24.734 | 0.5242 | 6.497 | 3.1994 | 2.0308 | 0.5444  |
|  2.40 | 36.747 | 24.624 | 0.5231 | 6.553 | 3.2119 | 2.0403 | 0.5401  |
|  2.41 | 36.988 | 24.515 | 0.5221 | 6.609 | 3.2243 | 2.0499 | 0.5359  |
|  2.42 | 37.229 | 24.407 | 0.5210 | 6.666 | 3.2367 | 2.0595 | 0.5317  |
|  2.43 | 37.469 | 24.301 | 0.5200 | 6.722 | 3.2489 | 2.0691 | 0.5276  |
|  2.44 | 37.708 | 24.195 | 0.5189 | 6.779 | 3.2612 | 2.0788 | 0.5234  |
|  2.45 | 37.946 | 24.090 | 0.5179 | 6.836 | 3.2733 | 2.0885 | 0.5193  |
|  2.46 | 38.183 | 23.985 | 0.5169 | 6.894 | 3.2855 | 2.0982 | 0.5152  |
|  2.47 | 38.420 | 23.882 | 0.5159 | 6.951 | 3.2975 | 2.1080 | 0.5111  |
|  2.48 | 38.655 | 23.780 | 0.5149 | 7.009 | 3.3095 | 2.1178 | 0.5071  |
|  2.49 | 38.890 | 23.679 | 0.5140 | 7.067 | 3.3215 | 2.1276 | 0.5030  |
|  2.50 | 39.124 | 23.578 | 0.5130 | 7.125 | 3.3333 | 2.1375 | 0.4990  |
|  2.51 | 39.357 | 23.479 | 0.5120 | 7.183 | 3.3452 | 2.1474 | 0.4950  |
|  2.52 | 39.589 | 23.380 | 0.5111 | 7.242 | 3.3569 | 2.1574 | 0.4911  |
|  2.53 | 39.820 | 23.282 | 0.5102 | 7.301 | 3.3686 | 2.1674 | 0.4871  |
|  2.54 | 40.050 | 23.185 | 0.5092 | 7.360 | 3.3803 | 2.1774 | 0.4832  |
|  2.55 | 40.280 | 23.089 | 0.5083 | 7.420 | 3.3919 | 2.1875 | 0.4793  |
|  2.56 | 40.508 | 22.993 | 0.5074 | 7.479 | 3.4034 | 2.1976 | 0.4754  |
|  2.57 | 40.736 | 22.899 | 0.5065 | 7.539 | 3.4149 | 2.2077 | 0.4715  |
|  2.58 | 40.963 | 22.805 | 0.5056 | 7.599 | 3.4263 | 2.2179 | 0.4677  |
|  2.59 | 41.189 | 22.712 | 0.5047 | 7.659 | 3.4377 | 2.2281 | 0.4639  |
|  2.60 | 41.415 | 22.620 | 0.5039 | 7.720 | 3.4490 | 2.2383 | 0.4601  |
|  2.61 | 41.639 | 22.528 | 0.5030 | 7.781 | 3.4602 | 2.2486 | 0.4564  |
|  2.62 | 41.863 | 22.438 | 0.5022 | 7.842 | 3.4714 | 2.2590 | 0.4526  |
|  2.63 | 42.086 | 22.348 | 0.5013 | 7.903 | 3.4826 | 2.2693 | 0.4489  |
|  2.64 | 42.307 | 22.259 | 0.5005 | 7.965 | 3.4937 | 2.2797 | 0.4452  |
|  2.65 | 42.529 | 22.170 | 0.4996 | 8.026 | 3.5047 | 2.2902 | 0.4416  |
|  2.66 | 42.749 | 22.082 | 0.4988 | 8.088 | 3.5157 | 2.3006 | 0.4379  |
|  2.67 | 42.968 | 21.995 | 0.4980 | 8.150 | 3.5266 | 2.3111 | 0.4343  |
|  2.68 | 43.187 | 21.909 | 0.4972 | 8.213 | 3.5374 | 2.3217 | 0.4307  |
|  2.69 | 43.405 | 21.823 | 0.4964 | 8.275 | 3.5482 | 2.3323 | 0.4271  |
|  2.70 | 43.621 | 21.738 | 0.4956 | 8.338 | 3.5590 | 2.3429 | 0.4236  |
|  2.71 | 43.838 | 21.654 | 0.4949 | 8.401 | 3.5697 | 2.3536 | 0.4201  |
|  2.72 | 44.053 | 21.571 | 0.4941 | 8.465 | 3.5803 | 2.3642 | 0.4166  |
|  2.73 | 44.267 | 21.488 | 0.4933 | 8.528 | 3.5909 | 2.3750 | 0.4131  |
|  2.74 | 44.481 | 21.405 | 0.4926 | 8.592 | 3.6015 | 2.3858 | 0.4097  |
|  2.75 | 44.694 | 21.324 | 0.4918 | 8.656 | 3.6119 | 2.3966 | 0.4062  |
|  2.76 | 44.906 | 21.243 | 0.4911 | 8.721 | 3.6224 | 2.4074 | 0.4028  |
|  2.77 | 45.117 | 21.162 | 0.4903 | 8.785 | 3.6327 | 2.4183 | 0.3994  |
|  2.78 | 45.327 | 21.083 | 0.4896 | 8.850 | 3.6431 | 2.4292 | 0.3961  |
|  2.79 | 45.537 | 21.003 | 0.4889 | 8.915 | 3.6533 | 2.4402 | 0.3928  |
|  2.80 | 45.746 | 20.925 | 0.4882 | 8.980 | 3.6636 | 2.4512 | 0.3895  |
|  2.81 | 45.954 | 20.847 | 0.4875 | 9.045 | 3.6737 | 2.4622 | 0.3862  |
|  2.82 | 46.161 | 20.770 | 0.4868 | 9.111 | 3.6838 | 2.4733 | 0.3829  |
|  2.83 | 46.368 | 20.693 | 0.4861 | 9.177 | 3.6939 | 2.4844 | 0.3797  |
|  2.84 | 46.573 | 20.617 | 0.4854 | 9.243 | 3.7039 | 2.4955 | 0.3765  |
|  2.85 | 46.778 | 20.541 | 0.4847 | 9.310 | 3.7139 | 2.5067 | 0.3733  |
|  2.86 | 46.982 | 20.466 | 0.4840 | 9.376 | 3.7238 | 2.5179 | 0.3701  |
|  2.87 | 47.185 | 20.391 | 0.4833 | 9.443 | 3.7336 | 2.5292 | 0.3670  |
|  2.88 | 47.388 | 20.318 | 0.4827 | 9.510 | 3.7434 | 2.5405 | 0.3639  |
|  2.89 | 47.589 | 20.244 | 0.4820 | 9.577 | 3.7532 | 2.5518 | 0.3608  |
|  2.90 | 47.790 | 20.171 | 0.4814 | 9.645 | 3.7629 | 2.5632 | 0.3577  |
|  2.91 | 47.990 | 20.099 | 0.4807 | 9.713 | 3.7725 | 2.5746 | 0.3547  |
|  2.92 | 48.190 | 20.027 | 0.4801 | 9.781 | 3.7821 | 2.5861 | 0.3517  |
|  2.93 | 48.388 | 19.956 | 0.4795 | 9.849 | 3.7917 | 2.5976 | 0.3487  |
|  2.94 | 48.586 | 19.885 | 0.4788 | 9.918 | 3.8012 | 2.6091 | 0.3457  |
|  2.95 | 48.783 | 19.815 | 0.4782 | 9.986 | 3.8106 | 2.6206 | 0.3428  |
|  2.96 | 48.980 | 19.745 | 0.4776 | 10.05 | 3.8200 | 2.6322 | 0.3398  |
|  2.97 | 49.175 | 19.676 | 0.4770 | 10.12 | 3.8294 | 2.6439 | 0.3369  |
|  2.98 | 49.370 | 19.607 | 0.4764 | 10.19 | 3.8387 | 2.6555 | 0.3340  |
|  2.99 | 49.564 | 19.539 | 0.4758 | 10.26 | 3.8479 | 2.6673 | 0.3312  |
|  3.00 | 49.757 | 19.471 | 0.4752 | 10.33 | 3.8571 | 2.6790 | 0.3283  |
|  3.02 | 50.142 | 19.337 | 0.4740 | 10.47 | 3.8754 | 2.7026 | 0.3227  |
|  3.04 | 50.523 | 19.205 | 0.4729 | 10.61 | 3.8935 | 2.7264 | 0.3172  |
|  3.06 | 50.902 | 19.075 | 0.4717 | 10.75 | 3.9114 | 2.7503 | 0.3118  |
|  3.08 | 51.277 | 18.946 | 0.4706 | 10.90 | 3.9291 | 2.7744 | 0.3065  |
|  3.10 | 51.650 | 18.819 | 0.4695 | 11.04 | 3.9466 | 2.7986 | 0.3012  |
|  3.12 | 52.020 | 18.694 | 0.4685 | 11.19 | 3.9639 | 2.8230 | 0.2960  |
|  3.14 | 52.386 | 18.571 | 0.4674 | 11.33 | 3.9811 | 2.8475 | 0.2910  |
|  3.16 | 52.751 | 18.449 | 0.4664 | 11.48 | 3.9981 | 2.8722 | 0.2860  |
|  3.18 | 53.112 | 18.329 | 0.4654 | 11.63 | 4.0149 | 2.8970 | 0.2811  |
|  3.20 | 53.470 | 18.210 | 0.4643 | 11.78 | 4.0315 | 2.9220 | 0.2762  |
|  3.22 | 53.826 | 18.093 | 0.4634 | 11.93 | 4.0479 | 2.9471 | 0.2715  |
|  3.24 | 54.179 | 17.977 | 0.4624 | 12.08 | 4.0642 | 2.9724 | 0.2668  |
|  3.26 | 54.529 | 17.863 | 0.4614 | 12.23 | 4.0803 | 2.9979 | 0.2622  |
|  3.28 | 54.877 | 17.751 | 0.4605 | 12.38 | 4.0963 | 3.0234 | 0.2577  |
|  3.30 | 55.222 | 17.640 | 0.4596 | 12.53 | 4.1120 | 3.0492 | 0.2533  |
|  3.32 | 55.564 | 17.530 | 0.4587 | 12.69 | 4.1276 | 3.0751 | 0.2489  |
|  3.34 | 55.904 | 17.422 | 0.4578 | 12.84 | 4.1431 | 3.1011 | 0.2446  |
|  3.36 | 56.241 | 17.315 | 0.4569 | 13.00 | 4.1583 | 3.1273 | 0.2404  |
|  3.38 | 56.576 | 17.209 | 0.4560 | 13.16 | 4.1734 | 3.1537 | 0.2363  |
|  3.40 | 56.908 | 17.105 | 0.4552 | 13.32 | 4.1884 | 3.1802 | 0.2322  |
|  3.42 | 57.237 | 17.002 | 0.4544 | 13.47 | 4.2032 | 3.2069 | 0.2282  |
|  3.44 | 57.564 | 16.900 | 0.4535 | 13.63 | 4.2179 | 3.2337 | 0.2243  |
|  3.46 | 57.888 | 16.799 | 0.4527 | 13.80 | 4.2323 | 3.2607 | 0.2205  |
|  3.48 | 58.210 | 16.700 | 0.4519 | 13.96 | 4.2467 | 3.2878 | 0.2167  |
|  3.50 | 58.530 | 16.602 | 0.4512 | 14.12 | 4.2609 | 3.3151 | 0.2129  |
|  3.52 | 58.847 | 16.505 | 0.4504 | 14.28 | 4.2749 | 3.3425 | 0.2093  |
|  3.54 | 59.162 | 16.409 | 0.4496 | 14.45 | 4.2888 | 3.3701 | 0.2057  |
|  3.56 | 59.474 | 16.314 | 0.4489 | 14.61 | 4.3026 | 3.3978 | 0.2022  |
|  3.58 | 59.784 | 16.220 | 0.4481 | 14.78 | 4.3162 | 3.4257 | 0.1987  |
|  3.60 | 60.091 | 16.128 | 0.4474 | 14.95 | 4.3296 | 3.4537 | 0.1953  |
|  3.62 | 60.397 | 16.036 | 0.4467 | 15.12 | 4.3429 | 3.4819 | 0.1920  |
|  3.64 | 60.700 | 15.946 | 0.4460 | 15.29 | 4.3561 | 3.5103 | 0.1887  |
|  3.66 | 61.001 | 15.856 | 0.4453 | 15.46 | 4.3692 | 3.5388 | 0.1855  |
|  3.68 | 61.299 | 15.768 | 0.4446 | 15.63 | 4.3821 | 3.5674 | 0.1823  |
|  3.70 | 61.595 | 15.680 | 0.4439 | 15.80 | 4.3949 | 3.5962 | 0.1792  |
|  3.72 | 61.889 | 15.594 | 0.4433 | 15.97 | 4.4075 | 3.6252 | 0.1761  |
|  3.74 | 62.181 | 15.508 | 0.4426 | 16.15 | 4.4200 | 3.6543 | 0.1731  |
|  3.76 | 62.471 | 15.424 | 0.4420 | 16.32 | 4.4324 | 3.6836 | 0.1702  |
|  3.78 | 62.758 | 15.340 | 0.4414 | 16.50 | 4.4447 | 3.7130 | 0.1673  |
|  3.80 | 63.044 | 15.258 | 0.4407 | 16.68 | 4.4568 | 3.7426 | 0.1645  |
|  3.82 | 63.327 | 15.176 | 0.4401 | 16.85 | 4.4688 | 3.7723 | 0.1617  |
|  3.84 | 63.608 | 15.095 | 0.4395 | 17.03 | 4.4807 | 3.8022 | 0.1589  |
|  3.86 | 63.887 | 15.015 | 0.4389 | 17.21 | 4.4924 | 3.8323 | 0.1563  |
|  3.88 | 64.164 | 14.936 | 0.4383 | 17.39 | 4.5041 | 3.8625 | 0.1536  |
|  3.90 | 64.440 | 14.857 | 0.4377 | 17.57 | 4.5156 | 3.8928 | 0.1510  |
|  3.92 | 64.713 | 14.780 | 0.4372 | 17.76 | 4.5270 | 3.9233 | 0.1485  |
|  3.94 | 64.984 | 14.703 | 0.4366 | 17.94 | 4.5383 | 3.9540 | 0.1460  |
|  3.96 | 65.253 | 14.627 | 0.4360 | 18.12 | 4.5494 | 3.9848 | 0.1435  |
|  3.98 | 65.520 | 14.552 | 0.4355 | 18.31 | 4.5605 | 4.0158 | 0.1411  |
|  4.00 | 65.785 | 14.478 | 0.4350 | 18.50 | 4.5714 | 4.0469 | 0.1388  |
|  4.05 | 66.439 | 14.295 | 0.4336 | 18.97 | 4.5983 | 4.1254 | 0.1330  |
|  4.10 | 67.082 | 14.117 | 0.4324 | 19.44 | 4.6245 | 4.2048 | 0.1276  |
|  4.15 | 67.713 | 13.943 | 0.4311 | 19.92 | 4.6500 | 4.2852 | 0.1223  |
|  4.20 | 68.333 | 13.774 | 0.4299 | 20.41 | 4.6749 | 4.3666 | 0.1173  |
|  4.25 | 68.942 | 13.609 | 0.4288 | 20.90 | 4.6992 | 4.4489 | 0.1126  |
|  4.30 | 69.541 | 13.448 | 0.4277 | 21.40 | 4.7229 | 4.5322 | 0.1080  |
|  4.35 | 70.129 | 13.290 | 0.4266 | 21.91 | 4.7460 | 4.6165 | 0.1036  |
|  4.40 | 70.706 | 13.137 | 0.4255 | 22.42 | 4.7685 | 4.7017 | 9.948 -2|
|  4.45 | 71.274 | 12.986 | 0.4245 | 22.93 | 4.7904 | 4.7879 | 9.550 -2|
|  4.50 | 71.832 | 12.840 | 0.4236 | 23.45 | 4.8119 | 4.8751 | 9.170 -2|
|  4.55 | 72.380 | 12.696 | 0.4226 | 23.98 | 4.8328 | 4.9632 | 8.806 -2|
|  4.60 | 72.919 | 12.556 | 0.4217 | 24.52 | 4.8532 | 5.0523 | 8.459 -2|
|  4.65 | 73.449 | 12.419 | 0.4208 | 25.06 | 4.8731 | 5.1424 | 8.126 -2|
|  4.70 | 73.970 | 12.284 | 0.4199 | 25.60 | 4.8926 | 5.2334 | 7.809 -2|
|  4.75 | 74.482 | 12.153 | 0.4191 | 26.15 | 4.9116 | 5.3254 | 7.505 -2|
|  4.80 | 74.986 | 12.025 | 0.4183 | 26.71 | 4.9301 | 5.4184 | 7.214 -2|
|  4.85 | 75.482 | 11.899 | 0.4175 | 27.27 | 4.9482 | 5.5124 | 6.936 -2|
|  4.90 | 75.969 | 11.776 | 0.4167 | 27.84 | 4.9659 | 5.6073 | 6.670 -2|
|  4.95 | 76.449 | 11.655 | 0.4160 | 28.42 | 4.9831 | 5.7032 | 6.415 -2|
|  5.00 | 76.920 | 11.537 | 0.4152 | 29.00 | 5.0000 | 5.8000 | 6.172 -2|
|  5.10 | 77.841 | 11.308 | 0.4138 | 30.17 | 5.0326 | 5.9966 | 5.715 -2|
|  5.20 | 78.732 | 11.087 | 0.4125 | 31.38 | 5.0637 | 6.1971 | 5.297 -2|
|  5.30 | 79.596 | 10.876 | 0.4113 | 32.60 | 5.0934 | 6.4014 | 4.913 -2|
|  5.40 | 80.433 | 10.672 | 0.4101 | 33.85 | 5.1218 | 6.6097 | 4.560 -2|
|  5.50 | 81.245 | 10.476 | 0.4090 | 35.12 | 5.1489 | 6.8218 | 4.236 -2|
|  5.60 | 82.032 | 10.287 | 0.4079 | 36.42 | 5.1749 | 7.0378 | 3.938 -2|
|  5.70 | 82.796 | 10.104 | 0.4069 | 37.73 | 5.1998 | 7.2577 | 3.664 -2|
|  5.80 | 83.537 |  9.928 | 0.4059 | 39.08 | 5.2236 | 7.4814 | 3.412 -2|
|  5.90 | 84.256 |  9.758 | 0.4050 | 40.44 | 5.2464 | 7.7091 | 3.179 -2|
|  6.00 | 84.955 |  9.594 | 0.4042 | 41.83 | 5.2683 | 7.9406 | 2.965 -2|
----------------------------------------------------------------------
```