# Normal shock tables

In aerodynamics, the normal shock tables are a series of tabulated data listing the various properties before and after the occurrence of a normal shock wave. With a given upstream Mach number, the post-shock Mach number can be calculated along with the pressure, density, temperature, and stagnation pressure ratios. Such tables are useful since the equations used to calculate the properties after a normal shock are cumbersome.
The tables below have been calculated using a heat capacity ratio, $\gamma$, equal to 1.4. The upstream Mach number, $M_{1}$, begins at 1 and ends at 5. Although the tables could be extended over any range of Mach numbers, stopping at Mach 5 is typical since assuming $\gamma$ to be 1.4 over the entire Mach number range leads to errors over 10% beyond Mach 5.

## Normal shock table equations

Given an upstream Mach number, $M_{1}$, and the ratio of specific heats, $\gamma$, the post normal shock Mach number, $M_{2}$, can be calculated using the equation below.
    $M_{2}={\sqrt {\frac {M_{1}^{2}\left(\gamma -1\right)+2}{2\gamma M_{1}^{2}-\left(\gamma -1\right)}}}$
The next equation shows the relationship between the post normal shock pressure, $p_{2}$, and the upstream ambient pressure, $p_{1}$.
    ${\frac {p_{2}}{p_{1}}}={\frac {2\gamma M_{1}^{2}}{\gamma +1}}-{\frac {\gamma -1}{\gamma +1}}$
The relationship between the post normal shock density, $\rho _{2}$, and the upstream ambient density, $\rho _{1}$ is shown next in the tables.
    ${\frac {\rho _{2}}{\rho _{1}}}={\frac {\left(\gamma +1\right)M_{1}^{2}}{\left(\gamma -1\right)M_{1}^{2}+2}}$
Next, the equation below shows the relationship between the post normal shock temperature, $T_{2}$, and the upstream ambient temperature, $T_{1}$.
    ${\frac {T_{2}}{T_{1}}}={\frac {\left(1+{\frac {\gamma -1}{2}}M_{1}^{2}\right)\left({\frac {2\gamma }{\gamma -1}}M_{1}^{2}-1\right)}{M_{1}^{2}\left({\frac {2\gamma }{\gamma -1}}+{\frac {\gamma -1}{2}}\right)}}$
Finally, the ratio of stagnation pressures is shown below where $p_{01}$ is the upstream stagnation pressure and $p_{02}$ occurs after the normal shock. The ratio of stagnation temperatures remains constant across a normal shock since the process is adiabatic.
    ${\frac {p_{02}}{p_{01}}}=\left({\frac {{\frac {\gamma +1}{2}}M_{1}^{2}}{1+{\frac {\gamma -1}{2}}M_{1}^{2}}}\right)^{\frac {\gamma }{\gamma -1}}\left({\frac {1}{{\frac {2\gamma }{\gamma +1}}M_{1}^{2}-{\frac {\gamma -1}{\gamma +1}}}}\right)^{\frac {1}{\gamma -1}}$
Note that before and after the shock the isentropic relations are valid and connect static and total quantities. That means, $p_{total}\neq p_{static}+p_{dynamic}$ (comes from Bernoulli, assumes incompressible flow) because the flow is for Mach numbers greater than unity always compressible.

## The normal shock tables (for γ = 1.4)

| M$_1$ | M$_2$ | p$_2$/p$_1$ | ρ$_2$/ρ$_1$ | T$_2$/T$_1$ | p$_{02}$/p$_{01}$ D=DX |
| 1.0100 | 0.9901 | 1.0235 | 1.0167 | 1.0066 | 1.0000 |
| 1.0200 | 0.9805 | 1.0471 | 1.0334 | 1.0132 | 1.0000 |
| 1.0300 | 0.9712 | 1.0711 | 1.0502 | 1.0198 | 1.0000 |
| 1.0400 | 0.9620 | 1.0952 | 1.0671 | 1.0263 | 0.9999 |
| 1.0500 | 0.9531 | 1.1196 | 1.0840 | 1.0328 | 0.9999 |
| 1.0600 | 0.9444 | 1.1442 | 1.1009 | 1.0393 | 0.9998 |
| 1.0700 | 0.9360 | 1.1691 | 1.1179 | 1.0458 | 0.9996 |
| 1.0800 | 0.9277 | 1.1941 | 1.1349 | 1.0522 | 0.9994 |
| 1.0900 | 0.9196 | 1.2195 | 1.1520 | 1.0586 | 0.9992 |
| 1.1000 | 0.9118 | 1.2450 | 1.1691 | 1.0649 | 0.9989 |
| 1.1100 | 0.9041 | 1.2708 | 1.1862 | 1.0713 | 0.9986 |
| 1.1200 | 0.8966 | 1.2968 | 1.2034 | 1.0776 | 0.9982 |
| 1.1300 | 0.8892 | 1.3231 | 1.2206 | 1.0840 | 0.9978 |
| 1.1400 | 0.8820 | 1.3495 | 1.2378 | 1.0903 | 0.9973 |
| 1.1500 | 0.8750 | 1.3763 | 1.2550 | 1.0966 | 0.9967 |
| 1.1600 | 0.8682 | 1.4032 | 1.2723 | 1.1029 | 0.9961 |
| 1.1700 | 0.8615 | 1.4304 | 1.2896 | 1.1092 | 0.9953 |
| 1.1800 | 0.8549 | 1.4578 | 1.3069 | 1.1154 | 0.9946 |
| 1.1900 | 0.8485 | 1.4855 | 1.3243 | 1.1217 | 0.9937 |
| 1.2000 | 0.8422 | 1.5133 | 1.3416 | 1.1280 | 0.9928 |
| 1.2100 | 0.8360 | 1.5415 | 1.3590 | 1.1343 | 0.9918 |
| 1.2200 | 0.8300 | 1.5698 | 1.3764 | 1.1405 | 0.9907 |
| 1.2300 | 0.8241 | 1.5984 | 1.3938 | 1.1468 | 0.9896 |
| 1.2400 | 0.8183 | 1.6272 | 1.4112 | 1.1531 | 0.9884 |
| 1.2500 | 0.8126 | 1.6563 | 1.4286 | 1.1594 | 0.9871 |
| 1.2600 | 0.8071 | 1.6855 | 1.4460 | 1.1657 | 0.9857 |
| 1.2700 | 0.8016 | 1.7151 | 1.4634 | 1.1720 | 0.9842 |
| 1.2800 | 0.7963 | 1.7448 | 1.4808 | 1.1783 | 0.9827 |
| 1.2900 | 0.7911 | 1.7748 | 1.4983 | 1.1846 | 0.9811 |
| 1.3000 | 0.7860 | 1.8050 | 1.5157 | 1.1909 | 0.9794 |
| 1.3100 | 0.7809 | 1.8355 | 1.5331 | 1.1972 | 0.9776 |
| 1.3200 | 0.7760 | 1.8661 | 1.5505 | 1.2035 | 0.9758 |
| 1.3300 | 0.7712 | 1.8971 | 1.5680 | 1.2099 | 0.9738 |
| 1.3400 | 0.7664 | 1.9282 | 1.5854 | 1.2162 | 0.9718 |
| 1.3500 | 0.7618 | 1.9596 | 1.6028 | 1.2226 | 0.9697 |
| 1.3600 | 0.7572 | 1.9912 | 1.6202 | 1.2290 | 0.9676 |
| 1.3700 | 0.7527 | 2.0231 | 1.6376 | 1.2354 | 0.9653 |
| 1.3800 | 0.7483 | 2.0551 | 1.6549 | 1.2418 | 0.9630 |
| 1.3900 | 0.7440 | 2.0875 | 1.6723 | 1.2482 | 0.9607 |
| 1.4000 | 0.7397 | 2.1200 | 1.6897 | 1.2547 | 0.9582 |
| 1.4100 | 0.7355 | 2.1528 | 1.7070 | 1.2612 | 0.9557 |
| 1.4200 | 0.7314 | 2.1858 | 1.7243 | 1.2676 | 0.9531 |
| 1.4300 | 0.7274 | 2.2191 | 1.7416 | 1.2741 | 0.9504 |
| 1.4400 | 0.7235 | 2.2525 | 1.7589 | 1.2807 | 0.9476 |
| 1.4500 | 0.7196 | 2.2863 | 1.7761 | 1.2872 | 0.9448 |
| 1.4600 | 0.7157 | 2.3202 | 1.7934 | 1.2938 | 0.9420 |
| 1.4700 | 0.7120 | 2.3544 | 1.8106 | 1.3003 | 0.9390 |
| 1.4800 | 0.7083 | 2.3888 | 1.8278 | 1.3069 | 0.9360 |
| 1.4900 | 0.7047 | 2.4235 | 1.8449 | 1.3136 | 0.9329 |
| 1.5000 | 0.7011 | 2.4583 | 1.8621 | 1.3202 | 0.9298 |
| 1.5100 | 0.6976 | 2.4935 | 1.8792 | 1.3269 | 0.9266 |
| 1.5200 | 0.6941 | 2.5288 | 1.8963 | 1.3336 | 0.9233 |
| 1.5300 | 0.6907 | 2.5644 | 1.9133 | 1.3403 | 0.9200 |
| 1.5400 | 0.6874 | 2.6002 | 1.9303 | 1.3470 | 0.9166 |
| 1.5500 | 0.6841 | 2.6363 | 1.9473 | 1.3538 | 0.9132 |
| 1.5600 | 0.6809 | 2.6725 | 1.9643 | 1.3606 | 0.9097 |
| 1.5700 | 0.6777 | 2.7091 | 1.9812 | 1.3674 | 0.9062 |
| 1.5800 | 0.6746 | 2.7458 | 1.9981 | 1.3742 | 0.9026 |
| 1.5900 | 0.6715 | 2.7828 | 2.0149 | 1.3811 | 0.8989 |
| 1.6000 | 0.6684 | 2.8200 | 2.0317 | 1.3880 | 0.8952 |
| 1.6100 | 0.6655 | 2.8575 | 2.0485 | 1.3949 | 0.8915 |
| 1.6200 | 0.6625 | 2.8951 | 2.0653 | 1.4018 | 0.8877 |
| 1.6300 | 0.6596 | 2.9331 | 2.0820 | 1.4088 | 0.8838 |
| 1.6400 | 0.6568 | 2.9712 | 2.0986 | 1.4158 | 0.8799 |
| 1.6500 | 0.6540 | 3.0096 | 2.1152 | 1.4228 | 0.8760 |
| 1.6600 | 0.6512 | 3.0482 | 2.1318 | 1.4299 | 0.8720 |
| 1.6700 | 0.6485 | 3.0871 | 2.1484 | 1.4369 | 0.8680 |
| 1.6800 | 0.6458 | 3.1261 | 2.1649 | 1.4440 | 0.8639 |
| 1.6900 | 0.6431 | 3.1655 | 2.1813 | 1.4512 | 0.8599 |
| 1.7000 | 0.6405 | 3.2050 | 2.1977 | 1.4583 | 0.8557 |
| 1.7100 | 0.6380 | 3.2448 | 2.2141 | 1.4655 | 0.8516 |
| 1.7200 | 0.6355 | 3.2848 | 2.2304 | 1.4727 | 0.8474 |
| 1.7300 | 0.6330 | 3.3251 | 2.2467 | 1.4800 | 0.8431 |
| 1.7400 | 0.6305 | 3.3655 | 2.2629 | 1.4873 | 0.8389 |
| 1.7500 | 0.6281 | 3.4063 | 2.2791 | 1.4946 | 0.8346 |
| 1.7600 | 0.6257 | 3.4472 | 2.2952 | 1.5019 | 0.8302 |
| 1.7700 | 0.6234 | 3.4884 | 2.3113 | 1.5093 | 0.8259 |
| 1.7800 | 0.6210 | 3.5298 | 2.3273 | 1.5167 | 0.8215 |
| 1.7900 | 0.6188 | 3.5715 | 2.3433 | 1.5241 | 0.8171 |
| 1.8000 | 0.6165 | 3.6133 | 2.3592 | 1.5316 | 0.8127 |
| 1.8100 | 0.6143 | 3.6555 | 2.3751 | 1.5391 | 0.8082 |
| 1.8200 | 0.6121 | 3.6978 | 2.3909 | 1.5466 | 0.8038 |
| 1.8300 | 0.6099 | 3.7404 | 2.4067 | 1.5541 | 0.7993 |
| 1.8400 | 0.6078 | 3.7832 | 2.4224 | 1.5617 | 0.7948 |
| 1.8500 | 0.6057 | 3.8263 | 2.4381 | 1.5693 | 0.7902 |
| 1.8600 | 0.6036 | 3.8695 | 2.4537 | 1.5770 | 0.7857 |
| 1.8700 | 0.6016 | 3.9131 | 2.4693 | 1.5847 | 0.7811 |
| 1.8800 | 0.5996 | 3.9568 | 2.4848 | 1.5924 | 0.7765 |
| 1.8900 | 0.5976 | 4.0008 | 2.5003 | 1.6001 | 0.7720 |
| 1.9000 | 0.5956 | 4.0450 | 2.5157 | 1.6079 | 0.7674 |
| 1.9100 | 0.5937 | 4.0895 | 2.5310 | 1.6157 | 0.7627 |
| 1.9200 | 0.5918 | 4.1341 | 2.5463 | 1.6236 | 0.7581 |
| 1.9300 | 0.5899 | 4.1791 | 2.5616 | 1.6314 | 0.7535 |
| 1.9400 | 0.5880 | 4.2242 | 2.5767 | 1.6394 | 0.7488 |
| 1.9500 | 0.5862 | 4.2696 | 2.5919 | 1.6473 | 0.7442 |
| 1.9600 | 0.5844 | 4.3152 | 2.6069 | 1.6553 | 0.7395 |
| 1.9700 | 0.5826 | 4.3611 | 2.6220 | 1.6633 | 0.7349 |
| 1.9800 | 0.5808 | 4.4071 | 2.6369 | 1.6713 | 0.7302 |
| 1.9900 | 0.5791 | 4.4535 | 2.6518 | 1.6794 | 0.7255 |
| 2.0000 | 0.5774 | 4.5000 | 2.6667 | 1.6875 | 0.7209 |
| 2.0100 | 0.5757 | 4.5468 | 2.6815 | 1.6956 | 0.7162 |
| 2.0200 | 0.5740 | 4.5938 | 2.6962 | 1.7038 | 0.7115 |
| 2.0300 | 0.5723 | 4.6411 | 2.7109 | 1.7120 | 0.7069 |
| 2.0400 | 0.5707 | 4.6885 | 2.7255 | 1.7203 | 0.7022 |
| 2.0500 | 0.5691 | 4.7363 | 2.7400 | 1.7285 | 0.6975 |
| 2.0600 | 0.5675 | 4.7842 | 2.7545 | 1.7369 | 0.6928 |
| 2.0700 | 0.5659 | 4.8324 | 2.7689 | 1.7452 | 0.6882 |
| 2.0800 | 0.5643 | 4.8808 | 2.7833 | 1.7536 | 0.6835 |
| 2.0900 | 0.5628 | 4.9294 | 2.7976 | 1.7620 | 0.6789 |
| 2.1000 | 0.5613 | 4.9783 | 2.8119 | 1.7705 | 0.6742 |
| 2.1100 | 0.5598 | 5.0274 | 2.8261 | 1.7789 | 0.6696 |
| 2.1200 | 0.5583 | 5.0768 | 2.8402 | 1.7875 | 0.6649 |
| 2.1300 | 0.5568 | 5.1264 | 2.8543 | 1.7960 | 0.6603 |
| 2.1400 | 0.5554 | 5.1762 | 2.8683 | 1.8046 | 0.6557 |
| 2.1500 | 0.5540 | 5.2262 | 2.8823 | 1.8132 | 0.6511 |
| 2.1600 | 0.5525 | 5.2765 | 2.8962 | 1.8219 | 0.6464 |
| 2.1700 | 0.5511 | 5.3270 | 2.9101 | 1.8306 | 0.6419 |
| 2.1800 | 0.5498 | 5.3778 | 2.9238 | 1.8393 | 0.6373 |
| 2.1900 | 0.5484 | 5.4288 | 2.9376 | 1.8481 | 0.6327 |
| 2.2000 | 0.5471 | 5.4800 | 2.9512 | 1.8569 | 0.6281 |
| 2.2100 | 0.5457 | 5.5314 | 2.9648 | 1.8657 | 0.6236 |
| 2.2200 | 0.5444 | 5.5831 | 2.9784 | 1.8746 | 0.6191 |
| 2.2300 | 0.5431 | 5.6350 | 2.9918 | 1.8835 | 0.6145 |
| 2.2400 | 0.5418 | 5.6872 | 3.0053 | 1.8924 | 0.6100 |
| 2.2500 | 0.5406 | 5.7396 | 3.0186 | 1.9014 | 0.6055 |
| 2.2600 | 0.5393 | 5.7922 | 3.0319 | 1.9104 | 0.6011 |
| 2.2700 | 0.5381 | 5.8450 | 3.0452 | 1.9194 | 0.5966 |
| 2.2800 | 0.5368 | 5.8981 | 3.0584 | 1.9285 | 0.5921 |
| 2.2900 | 0.5356 | 5.9514 | 3.0715 | 1.9376 | 0.5877 |
| 2.3000 | 0.5344 | 6.0050 | 3.0845 | 1.9468 | 0.5833 |
| 2.3100 | 0.5332 | 6.0588 | 3.0976 | 1.9560 | 0.5789 |
| 2.3200 | 0.5321 | 6.1128 | 3.1105 | 1.9652 | 0.5745 |
| 2.3300 | 0.5309 | 6.1670 | 3.1234 | 1.9745 | 0.5702 |
| 2.3400 | 0.5297 | 6.2215 | 3.1362 | 1.9838 | 0.5658 |
| 2.3500 | 0.5286 | 6.2762 | 3.1490 | 1.9931 | 0.5615 |
| 2.3600 | 0.5275 | 6.3312 | 3.1617 | 2.0025 | 0.5572 |
| 2.3700 | 0.5264 | 6.3864 | 3.1743 | 2.0119 | 0.5529 |
| 2.3800 | 0.5253 | 6.4418 | 3.1869 | 2.0213 | 0.5486 |
| 2.3900 | 0.5242 | 6.4974 | 3.1994 | 2.0308 | 0.5444 |
| 2.4000 | 0.5231 | 6.5533 | 3.2119 | 2.0403 | 0.5401 |
| 2.4100 | 0.5221 | 6.6094 | 3.2243 | 2.0499 | 0.5359 |
| 2.4200 | 0.5210 | 6.6658 | 3.2367 | 2.0595 | 0.5317 |
| 2.4300 | 0.5200 | 6.7224 | 3.2489 | 2.0691 | 0.5276 |
| 2.4400 | 0.5189 | 6.7792 | 3.2612 | 2.0788 | 0.5234 |
| 2.4500 | 0.5179 | 6.8362 | 3.2733 | 2.0885 | 0.5193 |
| 2.4600 | 0.5169 | 6.8935 | 3.2855 | 2.0982 | 0.5152 |
| 2.4700 | 0.5159 | 6.9510 | 3.2975 | 2.1080 | 0.5111 |
| 2.4800 | 0.5149 | 7.0088 | 3.3095 | 2.1178 | 0.5071 |
| 2.4900 | 0.5140 | 7.0668 | 3.3215 | 2.1276 | 0.5030 |
| 2.5000 | 0.5130 | 7.1250 | 3.3333 | 2.1375 | 0.4990 |
| 2.5100 | 0.5120 | 7.1834 | 3.3452 | 2.1474 | 0.4950 |
| 2.5200 | 0.5111 | 7.2421 | 3.3569 | 2.1574 | 0.4911 |
| 2.5300 | 0.5102 | 7.3010 | 3.3686 | 2.1674 | 0.4871 |
| 2.5400 | 0.5092 | 7.3602 | 3.3803 | 2.1774 | 0.4832 |
| 2.5500 | 0.5083 | 7.4196 | 3.3919 | 2.1875 | 0.4793 |
| 2.5600 | 0.5074 | 7.4792 | 3.4034 | 2.1976 | 0.4754 |
| 2.5700 | 0.5065 | 7.5390 | 3.4149 | 2.2077 | 0.4715 |
| 2.5800 | 0.5056 | 7.5991 | 3.4263 | 2.2179 | 0.4677 |
| 2.5900 | 0.5047 | 7.6594 | 3.4377 | 2.2281 | 0.4639 |
| 2.6000 | 0.5039 | 7.7200 | 3.4490 | 2.2383 | 0.4601 |
| 2.6100 | 0.5030 | 7.7808 | 3.4602 | 2.2486 | 0.4564 |
| 2.6200 | 0.5022 | 7.8418 | 3.4714 | 2.2590 | 0.4526 |
| 2.6300 | 0.5013 | 7.9030 | 3.4826 | 2.2693 | 0.4489 |
| 2.6400 | 0.5005 | 7.9645 | 3.4937 | 2.2797 | 0.4452 |
| 2.6500 | 0.4996 | 8.0262 | 3.5047 | 2.2902 | 0.4416 |
| 2.6600 | 0.4988 | 8.0882 | 3.5157 | 2.3006 | 0.4379 |
| 2.6700 | 0.4980 | 8.1504 | 3.5266 | 2.3111 | 0.4343 |
| 2.6800 | 0.4972 | 8.2128 | 3.5374 | 2.3217 | 0.4307 |
| 2.6900 | 0.4964 | 8.2754 | 3.5482 | 2.3323 | 0.4271 |
| 2.7000 | 0.4956 | 8.3383 | 3.5590 | 2.3429 | 0.4236 |
| 2.7100 | 0.4949 | 8.4014 | 3.5697 | 2.3536 | 0.4201 |
| 2.7200 | 0.4941 | 8.4648 | 3.5803 | 2.3642 | 0.4166 |
| 2.7300 | 0.4933 | 8.5284 | 3.5909 | 2.3750 | 0.4131 |
| 2.7400 | 0.4926 | 8.5922 | 3.6015 | 2.3858 | 0.4097 |
| 2.7500 | 0.4918 | 8.6562 | 3.6119 | 2.3966 | 0.4062 |
| 2.7600 | 0.4911 | 8.7205 | 3.6224 | 2.4074 | 0.4028 |
| 2.7700 | 0.4903 | 8.7850 | 3.6327 | 2.4183 | 0.3994 |
| 2.7800 | 0.4896 | 8.8498 | 3.6431 | 2.4292 | 0.3961 |
| 2.7900 | 0.4889 | 8.9148 | 3.6533 | 2.4402 | 0.3928 |
| 2.8000 | 0.4882 | 8.9800 | 3.6636 | 2.4512 | 0.3895 |
| 2.8100 | 0.4875 | 9.0454 | 3.6737 | 2.4622 | 0.3862 |
| 2.8200 | 0.4868 | 9.1111 | 3.6838 | 2.4733 | 0.3829 |
| 2.8300 | 0.4861 | 9.1770 | 3.6939 | 2.4844 | 0.3797 |
| 2.8400 | 0.4854 | 9.2432 | 3.7039 | 2.4955 | 0.3765 |
| 2.8500 | 0.4847 | 9.3096 | 3.7139 | 2.5067 | 0.3733 |
| 2.8600 | 0.4840 | 9.3762 | 3.7238 | 2.5179 | 0.3701 |
| 2.8700 | 0.4833 | 9.4430 | 3.7336 | 2.5292 | 0.3670 |
| 2.8800 | 0.4827 | 9.5101 | 3.7434 | 2.5405 | 0.3639 |
| 2.8900 | 0.4820 | 9.5774 | 3.7532 | 2.5518 | 0.3608 |
| 2.9000 | 0.4814 | 9.6450 | 3.7629 | 2.5632 | 0.3577 |
| 2.9100 | 0.4807 | 9.7128 | 3.7725 | 2.5746 | 0.3547 |
| 2.9200 | 0.4801 | 9.7808 | 3.7821 | 2.5861 | 0.3517 |
| 2.9300 | 0.4795 | 9.8490 | 3.7917 | 2.5976 | 0.3487 |
| 2.9400 | 0.4788 | 9.9175 | 3.8012 | 2.6091 | 0.3457 |
| 2.9500 | 0.4782 | 9.9862 | 3.8106 | 2.6206 | 0.3428 |
| 2.9600 | 0.4776 | 10.0552 | 3.8200 | 2.6322 | 0.3398 |
| 2.9700 | 0.4770 | 10.1244 | 3.8294 | 2.6439 | 0.3369 |
| 2.9800 | 0.4764 | 10.1938 | 3.8387 | 2.6555 | 0.3340 |
| 2.9900 | 0.4758 | 10.2634 | 3.8479 | 2.6673 | 0.3312 |
| 3.0000 | 0.4752 | 10.3333 | 3.8571 | 2.6790 | 0.3283 |
| 3.0100 | 0.4746 | 10.4034 | 3.8663 | 2.6908 | 0.3255 |
| 3.0200 | 0.4740 | 10.4738 | 3.8754 | 2.7026 | 0.3227 |
| 3.0300 | 0.4734 | 10.5444 | 3.8845 | 2.7145 | 0.3200 |
| 3.0400 | 0.4729 | 10.6152 | 3.8935 | 2.7264 | 0.3172 |
| 3.0500 | 0.4723 | 10.6862 | 3.9025 | 2.7383 | 0.3145 |
| 3.0600 | 0.4717 | 10.7575 | 3.9114 | 2.7503 | 0.3118 |
| 3.0700 | 0.4712 | 10.8290 | 3.9203 | 2.7623 | 0.3091 |
| 3.0800 | 0.4706 | 10.9008 | 3.9291 | 2.7744 | 0.3065 |
| 3.0900 | 0.4701 | 10.9728 | 3.9379 | 2.7865 | 0.3038 |
| 3.1000 | 0.4695 | 11.0450 | 3.9466 | 2.7986 | 0.3012 |
| 3.1100 | 0.4690 | 11.1174 | 3.9553 | 2.8108 | 0.2986 |
| 3.1200 | 0.4685 | 11.1901 | 3.9639 | 2.8230 | 0.2960 |
| 3.1300 | 0.4679 | 11.2630 | 3.9725 | 2.8352 | 0.2935 |
| 3.1400 | 0.4674 | 11.3362 | 3.9811 | 2.8475 | 0.2910 |
| 3.1500 | 0.4669 | 11.4096 | 3.9896 | 2.8598 | 0.2885 |
| 3.1600 | 0.4664 | 11.4832 | 3.9981 | 2.8722 | 0.2860 |
| 3.1700 | 0.4659 | 11.5570 | 4.0065 | 2.8846 | 0.2835 |
| 3.1800 | 0.4654 | 11.6311 | 4.0149 | 2.8970 | 0.2811 |
| 3.1900 | 0.4648 | 11.7054 | 4.0232 | 2.9095 | 0.2786 |
| 3.2000 | 0.4643 | 11.7800 | 4.0315 | 2.9220 | 0.2762 |
| 3.2100 | 0.4639 | 11.8548 | 4.0397 | 2.9345 | 0.2738 |
| 3.2200 | 0.4634 | 11.9298 | 4.0479 | 2.9471 | 0.2715 |
| 3.2300 | 0.4629 | 12.0050 | 4.0561 | 2.9598 | 0.2691 |
| 3.2400 | 0.4624 | 12.0805 | 4.0642 | 2.9724 | 0.2668 |
| 3.2500 | 0.4619 | 12.1562 | 4.0723 | 2.9851 | 0.2645 |
| 3.2600 | 0.4614 | 12.2322 | 4.0803 | 2.9979 | 0.2622 |
| 3.2700 | 0.4610 | 12.3084 | 4.0883 | 3.0106 | 0.2600 |
| 3.2800 | 0.4605 | 12.3848 | 4.0963 | 3.0234 | 0.2577 |
| 3.2900 | 0.4600 | 12.4614 | 4.1042 | 3.0363 | 0.2555 |
| 3.3000 | 0.4596 | 12.5383 | 4.1120 | 3.0492 | 0.2533 |
| 3.3100 | 0.4591 | 12.6154 | 4.1198 | 3.0621 | 0.2511 |
| 3.3200 | 0.4587 | 12.6928 | 4.1276 | 3.0751 | 0.2489 |
| 3.3300 | 0.4582 | 12.7704 | 4.1354 | 3.0881 | 0.2468 |
| 3.3400 | 0.4578 | 12.8482 | 4.1431 | 3.1011 | 0.2446 |
| 3.3500 | 0.4573 | 12.9262 | 4.1507 | 3.1142 | 0.2425 |
| 3.3600 | 0.4569 | 13.0045 | 4.1583 | 3.1273 | 0.2404 |
| 3.3700 | 0.4565 | 13.0830 | 4.1659 | 3.1405 | 0.2383 |
| 3.3800 | 0.4560 | 13.1618 | 4.1734 | 3.1537 | 0.2363 |
| 3.3900 | 0.4556 | 13.2408 | 4.1809 | 3.1669 | 0.2342 |
| 3.4000 | 0.4552 | 13.3200 | 4.1884 | 3.1802 | 0.2322 |
| 3.4100 | 0.4548 | 13.3994 | 4.1958 | 3.1935 | 0.2302 |
| 3.4200 | 0.4544 | 13.4791 | 4.2032 | 3.2069 | 0.2282 |
| 3.4300 | 0.4540 | 13.5590 | 4.2105 | 3.2203 | 0.2263 |
| 3.4400 | 0.4535 | 13.6392 | 4.2179 | 3.2337 | 0.2243 |
| 3.4500 | 0.4531 | 13.7196 | 4.2251 | 3.2472 | 0.2224 |
| 3.4600 | 0.4527 | 13.8002 | 4.2323 | 3.2607 | 0.2205 |
| 3.4700 | 0.4523 | 13.8810 | 4.2395 | 3.2742 | 0.2186 |
| 3.4800 | 0.4519 | 13.9621 | 4.2467 | 3.2878 | 0.2167 |
| 3.4900 | 0.4515 | 14.0434 | 4.2538 | 3.3014 | 0.2148 |
| 3.5000 | 0.4512 | 14.1250 | 4.2609 | 3.3151 | 0.2129 |
| 3.5100 | 0.4508 | 14.2068 | 4.2679 | 3.3287 | 0.2111 |
| 3.5200 | 0.4504 | 14.2888 | 4.2749 | 3.3425 | 0.2093 |
| 3.5300 | 0.4500 | 14.3710 | 4.2819 | 3.3563 | 0.2075 |
| 3.5400 | 0.4496 | 14.4535 | 4.2888 | 3.3701 | 0.2057 |
| 3.5500 | 0.4492 | 14.5362 | 4.2957 | 3.3839 | 0.2039 |
| 3.5600 | 0.4489 | 14.6192 | 4.3026 | 3.3978 | 0.2022 |
| 3.5700 | 0.4485 | 14.7024 | 4.3094 | 3.4117 | 0.2004 |
| 3.5800 | 0.4481 | 14.7858 | 4.3162 | 3.4257 | 0.1987 |
| 3.5900 | 0.4478 | 14.8694 | 4.3229 | 3.4397 | 0.1970 |
| 3.6000 | 0.4474 | 14.9533 | 4.3296 | 3.4537 | 0.1953 |
| 3.6100 | 0.4471 | 15.0374 | 4.3363 | 3.4678 | 0.1936 |
| 3.6200 | 0.4467 | 15.1218 | 4.3429 | 3.4819 | 0.1920 |
| 3.6300 | 0.4463 | 15.2064 | 4.3496 | 3.4961 | 0.1903 |
| 3.6400 | 0.4460 | 15.2912 | 4.3561 | 3.5103 | 0.1887 |
| 3.6500 | 0.4456 | 15.3762 | 4.3627 | 3.5245 | 0.1871 |
| 3.6600 | 0.4453 | 15.4615 | 4.3692 | 3.5388 | 0.1855 |
| 3.6700 | 0.4450 | 15.5470 | 4.3756 | 3.5531 | 0.1839 |
| 3.6800 | 0.4446 | 15.6328 | 4.3821 | 3.5674 | 0.1823 |
| 3.6900 | 0.4443 | 15.7188 | 4.3885 | 3.5818 | 0.1807 |
| 3.7000 | 0.4439 | 15.8050 | 4.3949 | 3.5962 | 0.1792 |
| 3.7100 | 0.4436 | 15.8914 | 4.4012 | 3.6107 | 0.1777 |
| 3.7200 | 0.4433 | 15.9781 | 4.4075 | 3.6252 | 0.1761 |
| 3.7300 | 0.4430 | 16.0650 | 4.4138 | 3.6397 | 0.1746 |
| 3.7400 | 0.4426 | 16.1522 | 4.4200 | 3.6543 | 0.1731 |
| 3.7500 | 0.4423 | 16.2396 | 4.4262 | 3.6689 | 0.1717 |
| 3.7600 | 0.4420 | 16.3272 | 4.4324 | 3.6836 | 0.1702 |
| 3.7700 | 0.4417 | 16.4150 | 4.4385 | 3.6983 | 0.1687 |
| 3.7800 | 0.4414 | 16.5031 | 4.4447 | 3.7130 | 0.1673 |
| 3.7900 | 0.4410 | 16.5914 | 4.4507 | 3.7278 | 0.1659 |
| 3.8000 | 0.4407 | 16.6800 | 4.4568 | 3.7426 | 0.1645 |
| 3.8100 | 0.4404 | 16.7688 | 4.4628 | 3.7575 | 0.1631 |
| 3.8200 | 0.4401 | 16.8578 | 4.4688 | 3.7723 | 0.1617 |
| 3.8300 | 0.4398 | 16.9470 | 4.4747 | 3.7873 | 0.1603 |
| 3.8400 | 0.4395 | 17.0365 | 4.4807 | 3.8022 | 0.1589 |
| 3.8500 | 0.4392 | 17.1262 | 4.4866 | 3.8172 | 0.1576 |
| 3.8600 | 0.4389 | 17.2162 | 4.4924 | 3.8323 | 0.1563 |
| 3.8700 | 0.4386 | 17.3064 | 4.4983 | 3.8473 | 0.1549 |
| 3.8800 | 0.4383 | 17.3968 | 4.5041 | 3.8625 | 0.1536 |
| 3.8900 | 0.4380 | 17.4874 | 4.5098 | 3.8776 | 0.1523 |
| 3.9000 | 0.4377 | 17.5783 | 4.5156 | 3.8928 | 0.1510 |
| 3.9100 | 0.4375 | 17.6694 | 4.5213 | 3.9080 | 0.1497 |
| 3.9200 | 0.4372 | 17.7608 | 4.5270 | 3.9233 | 0.1485 |
| 3.9300 | 0.4369 | 17.8524 | 4.5326 | 3.9386 | 0.1472 |
| 3.9400 | 0.4366 | 17.9442 | 4.5383 | 3.9540 | 0.1460 |
| 3.9500 | 0.4363 | 18.0362 | 4.5439 | 3.9694 | 0.1448 |
| 3.9600 | 0.4360 | 18.1285 | 4.5494 | 3.9848 | 0.1435 |
| 3.9700 | 0.4358 | 18.2210 | 4.5550 | 4.0003 | 0.1423 |
| 3.9800 | 0.4355 | 18.3138 | 4.5605 | 4.0158 | 0.1411 |
| 3.9900 | 0.4352 | 18.4068 | 4.5660 | 4.0313 | 0.1399 |
| 4.0000 | 0.4350 | 18.5000 | 4.5714 | 4.0469 | 0.1388 |
| 4.0100 | 0.4347 | 18.5934 | 4.5769 | 4.0625 | 0.1376 |
| 4.0200 | 0.4344 | 18.6871 | 4.5823 | 4.0782 | 0.1364 |
| 4.0300 | 0.4342 | 18.7810 | 4.5876 | 4.0938 | 0.1353 |
| 4.0400 | 0.4339 | 18.8752 | 4.5930 | 4.1096 | 0.1342 |
| 4.0500 | 0.4336 | 18.9696 | 4.5983 | 4.1254 | 0.1330 |
| 4.0600 | 0.4334 | 19.0642 | 4.6036 | 4.1412 | 0.1319 |
| 4.0700 | 0.4331 | 19.1590 | 4.6089 | 4.1570 | 0.1308 |
| 4.0800 | 0.4329 | 19.2541 | 4.6141 | 4.1729 | 0.1297 |
| 4.0900 | 0.4326 | 19.3494 | 4.6193 | 4.1888 | 0.1286 |
| 4.1000 | 0.4324 | 19.4450 | 4.6245 | 4.2048 | 0.1276 |
| 4.1100 | 0.4321 | 19.5408 | 4.6296 | 4.2208 | 0.1265 |
| 4.1200 | 0.4319 | 19.6368 | 4.6348 | 4.2368 | 0.1254 |
| 4.1300 | 0.4316 | 19.7330 | 4.6399 | 4.2529 | 0.1244 |
| 4.1400 | 0.4314 | 19.8295 | 4.6450 | 4.2690 | 0.1234 |
| 4.1500 | 0.4311 | 19.9262 | 4.6500 | 4.2852 | 0.1223 |
| 4.1600 | 0.4309 | 20.0232 | 4.6550 | 4.3014 | 0.1213 |
| 4.1700 | 0.4306 | 20.1204 | 4.6601 | 4.3176 | 0.1203 |
| 4.1800 | 0.4304 | 20.2178 | 4.6650 | 4.3339 | 0.1193 |
| 4.1900 | 0.4302 | 20.3154 | 4.6700 | 4.3502 | 0.1183 |
| 4.2000 | 0.4299 | 20.4133 | 4.6749 | 4.3666 | 0.1173 |
| 4.2100 | 0.4297 | 20.5114 | 4.6798 | 4.3830 | 0.1164 |
| 4.2200 | 0.4295 | 20.6098 | 4.6847 | 4.3994 | 0.1154 |
| 4.2300 | 0.4292 | 20.7084 | 4.6896 | 4.4159 | 0.1144 |
| 4.2400 | 0.4290 | 20.8072 | 4.6944 | 4.4324 | 0.1135 |
| 4.2500 | 0.4288 | 20.9062 | 4.6992 | 4.4489 | 0.1126 |
| 4.2600 | 0.4286 | 21.0055 | 4.7040 | 4.4655 | 0.1116 |
| 4.2700 | 0.4283 | 21.1050 | 4.7087 | 4.4821 | 0.1107 |
| 4.2800 | 0.4281 | 21.2048 | 4.7135 | 4.4988 | 0.1098 |
| 4.2900 | 0.4279 | 21.3048 | 4.7182 | 4.5155 | 0.1089 |
| 4.3000 | 0.4277 | 21.4050 | 4.7229 | 4.5322 | 0.1080 |
| 4.3100 | 0.4275 | 21.5054 | 4.7275 | 4.5490 | 0.1071 |
| 4.3200 | 0.4272 | 21.6061 | 4.7322 | 4.5658 | 0.1062 |
| 4.3300 | 0.4270 | 21.7070 | 4.7368 | 4.5827 | 0.1054 |
| 4.3400 | 0.4268 | 21.8082 | 4.7414 | 4.5995 | 0.1045 |
| 4.3500 | 0.4266 | 21.9096 | 4.7460 | 4.6165 | 0.1036 |
| 4.3600 | 0.4264 | 22.0112 | 4.7505 | 4.6334 | 0.1028 |
| 4.3700 | 0.4262 | 22.1130 | 4.7550 | 4.6505 | 0.1020 |
| 4.3800 | 0.4260 | 22.2151 | 4.7595 | 4.6675 | 0.1011 |
| 4.3900 | 0.4258 | 22.3174 | 4.7640 | 4.6846 | 0.1003 |
| 4.4000 | 0.4255 | 22.4200 | 4.7685 | 4.7017 | 0.0995 |
| 4.4100 | 0.4253 | 22.5228 | 4.7729 | 4.7189 | 0.0987 |
| 4.4200 | 0.4251 | 22.6258 | 4.7773 | 4.7361 | 0.0979 |
| 4.4300 | 0.4249 | 22.7290 | 4.7817 | 4.7533 | 0.0971 |
| 4.4400 | 0.4247 | 22.8325 | 4.7861 | 4.7706 | 0.0963 |
| 4.4500 | 0.4245 | 22.9362 | 4.7904 | 4.7879 | 0.0955 |
| 4.4600 | 0.4243 | 23.0402 | 4.7948 | 4.8053 | 0.0947 |
| 4.4700 | 0.4241 | 23.1444 | 4.7991 | 4.8227 | 0.0940 |
| 4.4800 | 0.4239 | 23.2488 | 4.8034 | 4.8401 | 0.0932 |
| 4.4900 | 0.4237 | 23.3534 | 4.8076 | 4.8576 | 0.0924 |
| 4.5000 | 0.4236 | 23.4583 | 4.8119 | 4.8751 | 0.0917 |
| 4.5100 | 0.4234 | 23.5634 | 4.8161 | 4.8926 | 0.0910 |
| 4.5200 | 0.4232 | 23.6688 | 4.8203 | 4.9102 | 0.0902 |
| 4.5300 | 0.4230 | 23.7744 | 4.8245 | 4.9279 | 0.0895 |
| 4.5400 | 0.4228 | 23.8802 | 4.8287 | 4.9455 | 0.0888 |
| 4.5500 | 0.4226 | 23.9862 | 4.8328 | 4.9632 | 0.0881 |
| 4.5600 | 0.4224 | 24.0925 | 4.8369 | 4.9810 | 0.0874 |
| 4.5700 | 0.4222 | 24.1990 | 4.8410 | 4.9987 | 0.0867 |
| 4.5800 | 0.4220 | 24.3058 | 4.8451 | 5.0166 | 0.0860 |
| 4.5900 | 0.4219 | 24.4128 | 4.8492 | 5.0344 | 0.0853 |
| 4.6000 | 0.4217 | 24.5200 | 4.8532 | 5.0523 | 0.0846 |
| 4.6100 | 0.4215 | 24.6274 | 4.8572 | 5.0703 | 0.0839 |
| 4.6200 | 0.4213 | 24.7351 | 4.8612 | 5.0882 | 0.0832 |
| 4.6300 | 0.4211 | 24.8430 | 4.8652 | 5.1063 | 0.0826 |
| 4.6400 | 0.4210 | 24.9512 | 4.8692 | 5.1243 | 0.0819 |
| 4.6500 | 0.4208 | 25.0596 | 4.8731 | 5.1424 | 0.0813 |
| 4.6600 | 0.4206 | 25.1682 | 4.8771 | 5.1605 | 0.0806 |
| 4.6700 | 0.4204 | 25.2770 | 4.8810 | 5.1787 | 0.0800 |
| 4.6800 | 0.4203 | 25.3861 | 4.8849 | 5.1969 | 0.0793 |
| 4.6900 | 0.4201 | 25.4954 | 4.8887 | 5.2151 | 0.0787 |
| 4.7000 | 0.4199 | 25.6050 | 4.8926 | 5.2334 | 0.0781 |
| 4.7100 | 0.4197 | 25.7148 | 4.8964 | 5.2518 | 0.0775 |
| 4.7200 | 0.4196 | 25.8248 | 4.9002 | 5.2701 | 0.0769 |
| 4.7300 | 0.4194 | 25.9350 | 4.9040 | 5.2885 | 0.0762 |
| 4.7400 | 0.4192 | 26.0455 | 4.9078 | 5.3070 | 0.0756 |
| 4.7500 | 0.4191 | 26.1562 | 4.9116 | 5.3254 | 0.0750 |
| 4.7600 | 0.4189 | 26.2672 | 4.9153 | 5.3440 | 0.0745 |
| 4.7700 | 0.4187 | 26.3784 | 4.9190 | 5.3625 | 0.0739 |
| 4.7800 | 0.4186 | 26.4898 | 4.9227 | 5.3811 | 0.0733 |
| 4.7900 | 0.4184 | 26.6014 | 4.9264 | 5.3997 | 0.0727 |
| 4.8000 | 0.4183 | 26.7133 | 4.9301 | 5.4184 | 0.0721 |
| 4.8100 | 0.4181 | 26.8254 | 4.9338 | 5.4371 | 0.0716 |
| 4.8200 | 0.4179 | 26.9378 | 4.9374 | 5.4559 | 0.0710 |
| 4.8300 | 0.4178 | 27.0504 | 4.9410 | 5.4747 | 0.0705 |
| 4.8400 | 0.4176 | 27.1632 | 4.9446 | 5.4935 | 0.0699 |
| 4.8500 | 0.4175 | 27.2762 | 4.9482 | 5.5124 | 0.0694 |
| 4.8600 | 0.4173 | 27.3895 | 4.9518 | 5.5313 | 0.0688 |
| 4.8700 | 0.4172 | 27.5030 | 4.9553 | 5.5502 | 0.0683 |
| 4.8800 | 0.4170 | 27.6168 | 4.9589 | 5.5692 | 0.0677 |
| 4.8900 | 0.4169 | 27.7308 | 4.9624 | 5.5882 | 0.0672 |
| 4.9000 | 0.4167 | 27.8450 | 4.9659 | 5.6073 | 0.0667 |
| 4.9100 | 0.4165 | 27.9594 | 4.9694 | 5.6264 | 0.0662 |
| 4.9200 | 0.4164 | 28.0741 | 4.9728 | 5.6455 | 0.0657 |
| 4.9300 | 0.4163 | 28.1890 | 4.9763 | 5.6647 | 0.0652 |
| 4.9400 | 0.4161 | 28.3042 | 4.9797 | 5.6839 | 0.0647 |
| 4.9500 | 0.4160 | 28.4196 | 4.9831 | 5.7032 | 0.0642 |
| 4.9600 | 0.4158 | 28.5352 | 4.9865 | 5.7224 | 0.0637 |
| 4.9700 | 0.4157 | 28.6510 | 4.9899 | 5.7418 | 0.0632 |
| 4.9800 | 0.4155 | 28.7671 | 4.9933 | 5.7611 | 0.0627 |
| 4.9900 | 0.4154 | 28.8834 | 4.9967 | 5.7806 | 0.0622 |
| 5.0000 | 0.4152 | 29.0000 | 5.0000 | 5.8000 | 0.0617 |