Probability Distribution Calculator and Statistical Tables
Normal, t, Chi-Squared and F Distributions
Use this free probability calculator to work with normal, Student's t, chi-squared and F distributions. Compute probabilities, critical values and distribution-based statistics online.
When you are ready to use probability concepts for statistical analysis, explore our statistical inference tools for confidence intervals and hypothesis testing.
What is a probability distribution calculator?
A probability distribution calculator helps compute probabilities, quantiles and critical values for common statistical distributions. This tool supports the standard normal, Student's t, chi-squared and F distributions, making it useful for statistical inference, hypothesis testing and probability calculations.
Which probability distributions are available?
The calculator includes the standard normal, Student's t, chi-squared and F distributions. You can calculate probabilities and critical values using one-tailed or two-tailed calculations, depending on the selected distribution and analysis.
F - Fisher Snedecor Tables (for α values of: 0.1, 0.05, and 0.01)
F Distribution (α = 0.1)
| Denominator df | Num df 1 | Num df 2 | Num df 3 | Num df 4 | Num df 5 | Num df 6 | Num df 7 | Num df 8 | Num df 9 | Num df 10 | Num df 12 | Num df 15 | Num df 20 | Num df 24 | Num df 30 | Num df 40 | Num df 60 | Num df 120 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 39.8635 | 49.5000 | 53.5932 | 55.8330 | 57.2401 | 58.2044 | 58.9060 | 59.4390 | 59.8576 | 60.1950 | 60.7052 | 61.2203 | 61.7403 | 62.0020 | 62.2650 | 62.5291 | 62.7943 | 63.0606 |
| 2 | 8.5263 | 9.0000 | 9.1618 | 9.2434 | 9.2926 | 9.3255 | 9.3491 | 9.3668 | 9.3805 | 9.3916 | 9.4081 | 9.4247 | 9.4413 | 9.4496 | 9.4579 | 9.4662 | 9.4746 | 9.4829 |
| 3 | 5.5383 | 5.4624 | 5.3908 | 5.3426 | 5.3092 | 5.2847 | 5.2662 | 5.2517 | 5.2400 | 5.2304 | 5.2156 | 5.2003 | 5.1845 | 5.1764 | 5.1681 | 5.1597 | 5.1512 | 5.1425 |
| 4 | 4.5448 | 4.3246 | 4.1909 | 4.1072 | 4.0506 | 4.0097 | 3.9790 | 3.9549 | 3.9357 | 3.9199 | 3.8955 | 3.8704 | 3.8443 | 3.8310 | 3.8174 | 3.8036 | 3.7896 | 3.7753 |
| 5 | 4.0604 | 3.7797 | 3.6195 | 3.5202 | 3.4530 | 3.4045 | 3.3679 | 3.3393 | 3.3163 | 3.2974 | 3.2682 | 3.2380 | 3.2067 | 3.1905 | 3.1741 | 3.1573 | 3.1402 | 3.1228 |
| 6 | 3.7759 | 3.4633 | 3.2888 | 3.1808 | 3.1075 | 3.0546 | 3.0145 | 2.9830 | 2.9577 | 2.9369 | 2.9047 | 2.8712 | 2.8363 | 2.8183 | 2.8000 | 2.7812 | 2.7620 | 2.7423 |
| 7 | 3.5894 | 3.2574 | 3.0741 | 2.9605 | 2.8833 | 2.8274 | 2.7849 | 2.7516 | 2.7247 | 2.7025 | 2.6681 | 2.6322 | 2.5947 | 2.5753 | 2.5555 | 2.5351 | 2.5142 | 2.4928 |
| 8 | 3.4579 | 3.1131 | 2.9238 | 2.8064 | 2.7264 | 2.6683 | 2.6241 | 2.5893 | 2.5612 | 2.5380 | 2.5020 | 2.4642 | 2.4246 | 2.4041 | 2.3830 | 2.3614 | 2.3391 | 2.3162 |
| 9 | 3.3603 | 3.0065 | 2.8129 | 2.6927 | 2.6106 | 2.5509 | 2.5053 | 2.4694 | 2.4403 | 2.4163 | 2.3789 | 2.3396 | 2.2983 | 2.2768 | 2.2547 | 2.2320 | 2.2085 | 2.1843 |
| 10 | 3.2850 | 2.9245 | 2.7277 | 2.6053 | 2.5216 | 2.4606 | 2.4140 | 2.3772 | 2.3473 | 2.3226 | 2.2841 | 2.2435 | 2.2007 | 2.1784 | 2.1554 | 2.1317 | 2.1072 | 2.0818 |
| 11 | 3.2252 | 2.8595 | 2.6602 | 2.5362 | 2.4512 | 2.3891 | 2.3416 | 2.3040 | 2.2735 | 2.2482 | 2.2087 | 2.1671 | 2.1230 | 2.1000 | 2.0762 | 2.0516 | 2.0261 | 1.9997 |
| 12 | 3.1765 | 2.8068 | 2.6055 | 2.4801 | 2.3940 | 2.3310 | 2.2828 | 2.2446 | 2.2135 | 2.1878 | 2.1474 | 2.1049 | 2.0597 | 2.0360 | 2.0115 | 1.9861 | 1.9597 | 1.9323 |
| 13 | 3.1362 | 2.7632 | 2.5603 | 2.4337 | 2.3467 | 2.2830 | 2.2341 | 2.1953 | 2.1638 | 2.1376 | 2.0966 | 2.0532 | 2.0070 | 1.9827 | 1.9576 | 1.9315 | 1.9043 | 1.8759 |
| 14 | 3.1022 | 2.7265 | 2.5222 | 2.3947 | 2.3069 | 2.2426 | 2.1931 | 2.1539 | 2.1220 | 2.0954 | 2.0537 | 2.0095 | 1.9625 | 1.9377 | 1.9119 | 1.8852 | 1.8572 | 1.8280 |
| 15 | 3.0732 | 2.6952 | 2.4898 | 2.3614 | 2.2730 | 2.2081 | 2.1582 | 2.1185 | 2.0862 | 2.0593 | 2.0171 | 1.9722 | 1.9243 | 1.8990 | 1.8728 | 1.8454 | 1.8168 | 1.7867 |
| 16 | 3.0481 | 2.6682 | 2.4618 | 2.3327 | 2.2438 | 2.1783 | 2.1280 | 2.0880 | 2.0553 | 2.0281 | 1.9854 | 1.9399 | 1.8913 | 1.8656 | 1.8388 | 1.8108 | 1.7816 | 1.7507 |
| 17 | 3.0262 | 2.6446 | 2.4374 | 2.3077 | 2.2183 | 2.1524 | 2.1017 | 2.0613 | 2.0284 | 2.0009 | 1.9577 | 1.9117 | 1.8624 | 1.8362 | 1.8090 | 1.7805 | 1.7506 | 1.7191 |
| 18 | 3.0070 | 2.6239 | 2.4160 | 2.2858 | 2.1958 | 2.1296 | 2.0785 | 2.0379 | 2.0047 | 1.9770 | 1.9333 | 1.8868 | 1.8368 | 1.8103 | 1.7827 | 1.7537 | 1.7232 | 1.6910 |
| 19 | 2.9899 | 2.6056 | 2.3970 | 2.2663 | 2.1760 | 2.1094 | 2.0580 | 2.0171 | 1.9836 | 1.9557 | 1.9117 | 1.8647 | 1.8142 | 1.7873 | 1.7592 | 1.7298 | 1.6988 | 1.6659 |
| 20 | 2.9747 | 2.5893 | 2.3801 | 2.2489 | 2.1582 | 2.0913 | 2.0397 | 1.9985 | 1.9649 | 1.9367 | 1.8924 | 1.8449 | 1.7938 | 1.7667 | 1.7382 | 1.7083 | 1.6768 | 1.6433 |
| 21 | 2.9610 | 2.5746 | 2.3649 | 2.2333 | 2.1423 | 2.0751 | 2.0233 | 1.9819 | 1.9480 | 1.9197 | 1.8750 | 1.8271 | 1.7756 | 1.7481 | 1.7193 | 1.6890 | 1.6569 | 1.6228 |
| 22 | 2.9486 | 2.5613 | 2.3512 | 2.2193 | 2.1279 | 2.0605 | 2.0084 | 1.9668 | 1.9327 | 1.9043 | 1.8593 | 1.8111 | 1.7590 | 1.7312 | 1.7021 | 1.6714 | 1.6389 | 1.6041 |
| 23 | 2.9374 | 2.5493 | 2.3387 | 2.2065 | 2.1149 | 2.0472 | 1.9949 | 1.9531 | 1.9189 | 1.8903 | 1.8450 | 1.7964 | 1.7439 | 1.7159 | 1.6864 | 1.6554 | 1.6224 | 1.5871 |
| 24 | 2.9271 | 2.5383 | 2.3274 | 2.1949 | 2.1030 | 2.0351 | 1.9826 | 1.9407 | 1.9063 | 1.8775 | 1.8319 | 1.7831 | 1.7302 | 1.7019 | 1.6721 | 1.6407 | 1.6073 | 1.5715 |
| 25 | 2.9177 | 2.5283 | 2.3170 | 2.1842 | 2.0922 | 2.0241 | 1.9714 | 1.9292 | 1.8947 | 1.8658 | 1.8200 | 1.7708 | 1.7175 | 1.6890 | 1.6589 | 1.6272 | 1.5934 | 1.5570 |
| 26 | 2.9091 | 2.5191 | 2.3075 | 2.1745 | 2.0822 | 2.0139 | 1.9610 | 1.9188 | 1.8841 | 1.8550 | 1.8090 | 1.7596 | 1.7059 | 1.6771 | 1.6468 | 1.6147 | 1.5805 | 1.5437 |
| 27 | 2.9012 | 2.5106 | 2.2987 | 2.1655 | 2.0730 | 2.0045 | 1.9515 | 1.9091 | 1.8743 | 1.8451 | 1.7989 | 1.7492 | 1.6951 | 1.6662 | 1.6356 | 1.6032 | 1.5686 | 1.5313 |
| 28 | 2.8938 | 2.5028 | 2.2906 | 2.1571 | 2.0645 | 1.9959 | 1.9427 | 1.9001 | 1.8652 | 1.8359 | 1.7895 | 1.7395 | 1.6852 | 1.6560 | 1.6252 | 1.5925 | 1.5575 | 1.5198 |
| 29 | 2.8870 | 2.4955 | 2.2831 | 2.1494 | 2.0566 | 1.9878 | 1.9345 | 1.8918 | 1.8568 | 1.8274 | 1.7808 | 1.7306 | 1.6759 | 1.6465 | 1.6155 | 1.5825 | 1.5472 | 1.5090 |
| 30 | 2.8807 | 2.4887 | 2.2761 | 2.1422 | 2.0492 | 1.9803 | 1.9269 | 1.8841 | 1.8490 | 1.8195 | 1.7727 | 1.7223 | 1.6673 | 1.6377 | 1.6065 | 1.5732 | 1.5376 | 1.4989 |
| 31 | 2.8748 | 2.4824 | 2.2695 | 2.1355 | 2.0424 | 1.9734 | 1.9198 | 1.8769 | 1.8417 | 1.8121 | 1.7651 | 1.7145 | 1.6593 | 1.6295 | 1.5980 | 1.5645 | 1.5285 | 1.4895 |
| 32 | 2.8693 | 2.4765 | 2.2635 | 2.1293 | 2.0360 | 1.9668 | 1.9132 | 1.8702 | 1.8348 | 1.8052 | 1.7581 | 1.7072 | 1.6517 | 1.6218 | 1.5901 | 1.5564 | 1.5201 | 1.4806 |
| 33 | 2.8641 | 2.4710 | 2.2577 | 2.1234 | 2.0300 | 1.9607 | 1.9070 | 1.8639 | 1.8284 | 1.7987 | 1.7514 | 1.7004 | 1.6446 | 1.6146 | 1.5827 | 1.5487 | 1.5121 | 1.4722 |
| 34 | 2.8592 | 2.4658 | 2.2524 | 2.1179 | 2.0244 | 1.9550 | 1.9012 | 1.8580 | 1.8224 | 1.7926 | 1.7452 | 1.6940 | 1.6380 | 1.6077 | 1.5757 | 1.5415 | 1.5046 | 1.4643 |
| 35 | 2.8547 | 2.4609 | 2.2474 | 2.1128 | 2.0191 | 1.9496 | 1.8957 | 1.8524 | 1.8168 | 1.7869 | 1.7394 | 1.6880 | 1.6317 | 1.6013 | 1.5691 | 1.5346 | 1.4975 | 1.4568 |
| 36 | 2.8503 | 2.4563 | 2.2426 | 2.1079 | 2.0141 | 1.9446 | 1.8905 | 1.8471 | 1.8115 | 1.7815 | 1.7338 | 1.6823 | 1.6258 | 1.5953 | 1.5629 | 1.5282 | 1.4908 | 1.4497 |
| 37 | 2.8463 | 2.4520 | 2.2381 | 2.1033 | 2.0094 | 1.9398 | 1.8856 | 1.8422 | 1.8064 | 1.7764 | 1.7286 | 1.6769 | 1.6202 | 1.5896 | 1.5570 | 1.5221 | 1.4844 | 1.4430 |
| 38 | 2.8424 | 2.4479 | 2.2339 | 2.0990 | 2.0050 | 1.9352 | 1.8810 | 1.8375 | 1.8017 | 1.7716 | 1.7237 | 1.6718 | 1.6149 | 1.5841 | 1.5514 | 1.5163 | 1.4784 | 1.4366 |
| 39 | 2.8388 | 2.4440 | 2.2299 | 2.0948 | 2.0008 | 1.9309 | 1.8767 | 1.8331 | 1.7972 | 1.7670 | 1.7190 | 1.6670 | 1.6099 | 1.5790 | 1.5461 | 1.5108 | 1.4726 | 1.4305 |
| 40 | 2.8354 | 2.4404 | 2.2261 | 2.0909 | 1.9968 | 1.9269 | 1.8725 | 1.8289 | 1.7929 | 1.7627 | 1.7146 | 1.6624 | 1.6052 | 1.5741 | 1.5411 | 1.5056 | 1.4672 | 1.4248 |
| 41 | 2.8321 | 2.4369 | 2.2225 | 2.0872 | 1.9930 | 1.9230 | 1.8686 | 1.8249 | 1.7888 | 1.7586 | 1.7103 | 1.6581 | 1.6006 | 1.5695 | 1.5363 | 1.5007 | 1.4620 | 1.4192 |
| 42 | 2.8290 | 2.4336 | 2.2191 | 2.0837 | 1.9894 | 1.9193 | 1.8649 | 1.8211 | 1.7850 | 1.7547 | 1.7063 | 1.6539 | 1.5963 | 1.5650 | 1.5317 | 1.4959 | 1.4570 | 1.4140 |
| 43 | 2.8260 | 2.4304 | 2.2158 | 2.0804 | 1.9860 | 1.9159 | 1.8613 | 1.8175 | 1.7813 | 1.7509 | 1.7025 | 1.6500 | 1.5922 | 1.5608 | 1.5274 | 1.4914 | 1.4523 | 1.4089 |
| 44 | 2.8232 | 2.4274 | 2.2127 | 2.0772 | 1.9828 | 1.9125 | 1.8579 | 1.8140 | 1.7778 | 1.7474 | 1.6989 | 1.6462 | 1.5883 | 1.5568 | 1.5232 | 1.4871 | 1.4477 | 1.4041 |
| 45 | 2.8205 | 2.4245 | 2.2097 | 2.0742 | 1.9796 | 1.9094 | 1.8547 | 1.8107 | 1.7745 | 1.7440 | 1.6954 | 1.6426 | 1.5846 | 1.5530 | 1.5193 | 1.4830 | 1.4434 | 1.3995 |
| 46 | 2.8179 | 2.4218 | 2.2069 | 2.0712 | 1.9767 | 1.9063 | 1.8516 | 1.8076 | 1.7713 | 1.7408 | 1.6921 | 1.6392 | 1.5810 | 1.5493 | 1.5155 | 1.4790 | 1.4392 | 1.3950 |
| 47 | 2.8154 | 2.4192 | 2.2042 | 2.0685 | 1.9738 | 1.9034 | 1.8486 | 1.8046 | 1.7682 | 1.7377 | 1.6889 | 1.6359 | 1.5776 | 1.5458 | 1.5118 | 1.4752 | 1.4353 | 1.3908 |
| 48 | 2.8131 | 2.4167 | 2.2016 | 2.0658 | 1.9711 | 1.9006 | 1.8458 | 1.8017 | 1.7653 | 1.7347 | 1.6859 | 1.6328 | 1.5743 | 1.5424 | 1.5084 | 1.4716 | 1.4314 | 1.3867 |
| 49 | 2.8108 | 2.4143 | 2.1991 | 2.0633 | 1.9685 | 1.8980 | 1.8431 | 1.7989 | 1.7625 | 1.7319 | 1.6830 | 1.6298 | 1.5711 | 1.5392 | 1.5050 | 1.4681 | 1.4278 | 1.3827 |
| 50 | 2.8087 | 2.4120 | 2.1967 | 2.0608 | 1.9660 | 1.8954 | 1.8405 | 1.7963 | 1.7598 | 1.7291 | 1.6802 | 1.6269 | 1.5681 | 1.5361 | 1.5018 | 1.4648 | 1.4242 | 1.3789 |
| 51 | 2.8066 | 2.4097 | 2.1944 | 2.0585 | 1.9636 | 1.8930 | 1.8380 | 1.7938 | 1.7573 | 1.7265 | 1.6775 | 1.6241 | 1.5652 | 1.5331 | 1.4987 | 1.4616 | 1.4208 | 1.3753 |
| 52 | 2.8046 | 2.4076 | 2.1923 | 2.0562 | 1.9613 | 1.8906 | 1.8356 | 1.7913 | 1.7548 | 1.7240 | 1.6749 | 1.6215 | 1.5624 | 1.5302 | 1.4957 | 1.4585 | 1.4176 | 1.3718 |
| 53 | 2.8027 | 2.4056 | 2.1901 | 2.0541 | 1.9591 | 1.8884 | 1.8333 | 1.7890 | 1.7524 | 1.7216 | 1.6724 | 1.6189 | 1.5597 | 1.5275 | 1.4929 | 1.4555 | 1.4144 | 1.3684 |
| 54 | 2.8008 | 2.4036 | 2.1881 | 2.0520 | 1.9570 | 1.8862 | 1.8311 | 1.7867 | 1.7501 | 1.7193 | 1.6700 | 1.6164 | 1.5572 | 1.5248 | 1.4901 | 1.4526 | 1.4114 | 1.3651 |
| 55 | 2.7990 | 2.4017 | 2.1862 | 2.0500 | 1.9549 | 1.8841 | 1.8290 | 1.7846 | 1.7479 | 1.7171 | 1.6677 | 1.6140 | 1.5547 | 1.5222 | 1.4875 | 1.4498 | 1.4084 | 1.3619 |
| 56 | 2.7973 | 2.3999 | 2.1843 | 2.0480 | 1.9529 | 1.8821 | 1.8269 | 1.7825 | 1.7458 | 1.7149 | 1.6655 | 1.6118 | 1.5523 | 1.5198 | 1.4849 | 1.4472 | 1.4056 | 1.3589 |
| 57 | 2.7957 | 2.3982 | 2.1825 | 2.0462 | 1.9510 | 1.8802 | 1.8249 | 1.7805 | 1.7437 | 1.7128 | 1.6634 | 1.6095 | 1.5500 | 1.5174 | 1.4825 | 1.4446 | 1.4029 | 1.3559 |
| 58 | 2.7941 | 2.3965 | 2.1807 | 2.0444 | 1.9492 | 1.8783 | 1.8230 | 1.7785 | 1.7418 | 1.7108 | 1.6613 | 1.6074 | 1.5477 | 1.5151 | 1.4801 | 1.4421 | 1.4002 | 1.3530 |
| 59 | 2.7926 | 2.3948 | 2.1790 | 2.0427 | 1.9474 | 1.8765 | 1.8212 | 1.7766 | 1.7399 | 1.7089 | 1.6593 | 1.6054 | 1.5456 | 1.5129 | 1.4778 | 1.4397 | 1.3977 | 1.3503 |
| 60 | 2.7911 | 2.3933 | 2.1774 | 2.0410 | 1.9457 | 1.8747 | 1.8194 | 1.7748 | 1.7380 | 1.7070 | 1.6574 | 1.6034 | 1.5435 | 1.5107 | 1.4755 | 1.4373 | 1.3952 | 1.3476 |
| 61 | 2.7896 | 2.3917 | 2.1758 | 2.0394 | 1.9441 | 1.8730 | 1.8177 | 1.7731 | 1.7362 | 1.7052 | 1.6556 | 1.6014 | 1.5415 | 1.5086 | 1.4734 | 1.4351 | 1.3928 | 1.3450 |
| 62 | 2.7882 | 2.3903 | 2.1743 | 2.0378 | 1.9425 | 1.8714 | 1.8160 | 1.7714 | 1.7345 | 1.7035 | 1.6538 | 1.5996 | 1.5395 | 1.5066 | 1.4713 | 1.4329 | 1.3905 | 1.3424 |
| 63 | 2.7869 | 2.3888 | 2.1728 | 2.0363 | 1.9409 | 1.8698 | 1.8144 | 1.7697 | 1.7329 | 1.7018 | 1.6520 | 1.5978 | 1.5376 | 1.5047 | 1.4693 | 1.4308 | 1.3882 | 1.3400 |
| 64 | 2.7856 | 2.3875 | 2.1714 | 2.0348 | 1.9394 | 1.8683 | 1.8128 | 1.7682 | 1.7312 | 1.7001 | 1.6504 | 1.5960 | 1.5358 | 1.5028 | 1.4673 | 1.4287 | 1.3860 | 1.3376 |
| 65 | 2.7843 | 2.3861 | 2.1700 | 2.0334 | 1.9380 | 1.8668 | 1.8113 | 1.7666 | 1.7297 | 1.6985 | 1.6487 | 1.5943 | 1.5340 | 1.5010 | 1.4654 | 1.4267 | 1.3839 | 1.3353 |
| 66 | 2.7831 | 2.3848 | 2.1687 | 2.0320 | 1.9366 | 1.8654 | 1.8099 | 1.7651 | 1.7282 | 1.6970 | 1.6471 | 1.5927 | 1.5323 | 1.4992 | 1.4636 | 1.4248 | 1.3819 | 1.3330 |
| 67 | 2.7819 | 2.3836 | 2.1674 | 2.0307 | 1.9352 | 1.8640 | 1.8084 | 1.7637 | 1.7267 | 1.6955 | 1.6456 | 1.5911 | 1.5306 | 1.4975 | 1.4618 | 1.4229 | 1.3799 | 1.3308 |
| 68 | 2.7808 | 2.3823 | 2.1661 | 2.0294 | 1.9339 | 1.8626 | 1.8071 | 1.7623 | 1.7253 | 1.6941 | 1.6441 | 1.5896 | 1.5290 | 1.4958 | 1.4601 | 1.4211 | 1.3779 | 1.3287 |
| 69 | 2.7797 | 2.3812 | 2.1649 | 2.0282 | 1.9326 | 1.8613 | 1.8057 | 1.7609 | 1.7239 | 1.6927 | 1.6427 | 1.5881 | 1.5275 | 1.4942 | 1.4584 | 1.4193 | 1.3760 | 1.3266 |
| 70 | 2.7786 | 2.3800 | 2.1637 | 2.0269 | 1.9313 | 1.8600 | 1.8044 | 1.7596 | 1.7225 | 1.6913 | 1.6413 | 1.5866 | 1.5259 | 1.4926 | 1.4567 | 1.4176 | 1.3742 | 1.3246 |
| 71 | 2.7776 | 2.3789 | 2.1626 | 2.0258 | 1.9301 | 1.8588 | 1.8032 | 1.7583 | 1.7212 | 1.6900 | 1.6399 | 1.5852 | 1.5244 | 1.4911 | 1.4551 | 1.4159 | 1.3724 | 1.3227 |
| 72 | 2.7765 | 2.3778 | 2.1615 | 2.0246 | 1.9290 | 1.8576 | 1.8020 | 1.7571 | 1.7200 | 1.6887 | 1.6386 | 1.5838 | 1.5230 | 1.4896 | 1.4536 | 1.4143 | 1.3707 | 1.3208 |
| 73 | 2.7755 | 2.3768 | 2.1604 | 2.0235 | 1.9278 | 1.8564 | 1.8008 | 1.7559 | 1.7187 | 1.6874 | 1.6373 | 1.5825 | 1.5216 | 1.4881 | 1.4521 | 1.4127 | 1.3690 | 1.3189 |
| 74 | 2.7746 | 2.3757 | 2.1593 | 2.0224 | 1.9267 | 1.8553 | 1.7996 | 1.7547 | 1.7175 | 1.6862 | 1.6361 | 1.5812 | 1.5202 | 1.4867 | 1.4506 | 1.4112 | 1.3673 | 1.3171 |
| 75 | 2.7736 | 2.3747 | 2.1583 | 2.0214 | 1.9256 | 1.8542 | 1.7985 | 1.7535 | 1.7164 | 1.6850 | 1.6348 | 1.5799 | 1.5189 | 1.4854 | 1.4492 | 1.4097 | 1.3657 | 1.3153 |
| 76 | 2.7727 | 2.3738 | 2.1573 | 2.0203 | 1.9246 | 1.8531 | 1.7974 | 1.7524 | 1.7152 | 1.6839 | 1.6337 | 1.5787 | 1.5176 | 1.4840 | 1.4478 | 1.4082 | 1.3641 | 1.3136 |
| 77 | 2.7718 | 2.3728 | 2.1563 | 2.0193 | 1.9236 | 1.8521 | 1.7963 | 1.7513 | 1.7141 | 1.6828 | 1.6325 | 1.5775 | 1.5164 | 1.4827 | 1.4464 | 1.4068 | 1.3626 | 1.3119 |
| 78 | 2.7710 | 2.3719 | 2.1554 | 2.0184 | 1.9226 | 1.8511 | 1.7953 | 1.7503 | 1.7131 | 1.6817 | 1.6314 | 1.5764 | 1.5151 | 1.4815 | 1.4451 | 1.4054 | 1.3611 | 1.3102 |
| 79 | 2.7701 | 2.3710 | 2.1544 | 2.0174 | 1.9216 | 1.8501 | 1.7943 | 1.7493 | 1.7120 | 1.6806 | 1.6303 | 1.5752 | 1.5139 | 1.4802 | 1.4438 | 1.4040 | 1.3597 | 1.3086 |
| 80 | 2.7693 | 2.3701 | 2.1535 | 2.0165 | 1.9206 | 1.8491 | 1.7933 | 1.7483 | 1.7110 | 1.6796 | 1.6292 | 1.5741 | 1.5128 | 1.4790 | 1.4426 | 1.4027 | 1.3583 | 1.3071 |
| 81 | 2.7685 | 2.3693 | 2.1527 | 2.0156 | 1.9197 | 1.8482 | 1.7923 | 1.7473 | 1.7100 | 1.6786 | 1.6282 | 1.5730 | 1.5116 | 1.4778 | 1.4414 | 1.4014 | 1.3569 | 1.3055 |
| 82 | 2.7677 | 2.3685 | 2.1518 | 2.0147 | 1.9188 | 1.8473 | 1.7914 | 1.7463 | 1.7090 | 1.6776 | 1.6272 | 1.5720 | 1.5105 | 1.4767 | 1.4402 | 1.4002 | 1.3555 | 1.3040 |
| 83 | 2.7670 | 2.3677 | 2.1510 | 2.0138 | 1.9179 | 1.8464 | 1.7905 | 1.7454 | 1.7081 | 1.6766 | 1.6262 | 1.5709 | 1.5094 | 1.4756 | 1.4390 | 1.3989 | 1.3542 | 1.3026 |
| 84 | 2.7662 | 2.3669 | 2.1502 | 2.0130 | 1.9171 | 1.8455 | 1.7896 | 1.7445 | 1.7072 | 1.6757 | 1.6252 | 1.5699 | 1.5084 | 1.4745 | 1.4378 | 1.3977 | 1.3529 | 1.3011 |
| 85 | 2.7655 | 2.3661 | 2.1494 | 2.0122 | 1.9162 | 1.8446 | 1.7887 | 1.7436 | 1.7063 | 1.6748 | 1.6243 | 1.5690 | 1.5073 | 1.4734 | 1.4367 | 1.3966 | 1.3516 | 1.2997 |
| 86 | 2.7648 | 2.3654 | 2.1486 | 2.0114 | 1.9154 | 1.8438 | 1.7879 | 1.7427 | 1.7054 | 1.6739 | 1.6233 | 1.5680 | 1.5063 | 1.4724 | 1.4356 | 1.3954 | 1.3504 | 1.2984 |
| 87 | 2.7641 | 2.3646 | 2.1478 | 2.0106 | 1.9146 | 1.8430 | 1.7870 | 1.7419 | 1.7045 | 1.6730 | 1.6224 | 1.5671 | 1.5054 | 1.4713 | 1.4346 | 1.3943 | 1.3492 | 1.2970 |
| 88 | 2.7634 | 2.3639 | 2.1471 | 2.0099 | 1.9139 | 1.8422 | 1.7862 | 1.7411 | 1.7037 | 1.6721 | 1.6216 | 1.5662 | 1.5044 | 1.4704 | 1.4335 | 1.3932 | 1.3480 | 1.2957 |
| 89 | 2.7628 | 2.3632 | 2.1464 | 2.0091 | 1.9131 | 1.8414 | 1.7854 | 1.7402 | 1.7029 | 1.6713 | 1.6207 | 1.5653 | 1.5035 | 1.4694 | 1.4325 | 1.3921 | 1.3469 | 1.2944 |
| 90 | 2.7621 | 2.3625 | 2.1457 | 2.0084 | 1.9123 | 1.8406 | 1.7846 | 1.7395 | 1.7021 | 1.6705 | 1.6199 | 1.5644 | 1.5025 | 1.4684 | 1.4315 | 1.3911 | 1.3457 | 1.2932 |
| 91 | 2.7615 | 2.3618 | 2.1450 | 2.0077 | 1.9116 | 1.8399 | 1.7839 | 1.7387 | 1.7013 | 1.6697 | 1.6190 | 1.5635 | 1.5016 | 1.4675 | 1.4306 | 1.3900 | 1.3446 | 1.2919 |
| 92 | 2.7609 | 2.3612 | 2.1443 | 2.0070 | 1.9109 | 1.8392 | 1.7832 | 1.7379 | 1.7005 | 1.6689 | 1.6182 | 1.5627 | 1.5008 | 1.4666 | 1.4296 | 1.3890 | 1.3436 | 1.2907 |
| 93 | 2.7603 | 2.3605 | 2.1436 | 2.0063 | 1.9102 | 1.8385 | 1.7824 | 1.7372 | 1.6997 | 1.6681 | 1.6174 | 1.5619 | 1.4999 | 1.4657 | 1.4287 | 1.3881 | 1.3425 | 1.2895 |
| 94 | 2.7597 | 2.3599 | 2.1430 | 2.0056 | 1.9095 | 1.8378 | 1.7817 | 1.7365 | 1.6990 | 1.6674 | 1.6167 | 1.5611 | 1.4990 | 1.4648 | 1.4278 | 1.3871 | 1.3415 | 1.2884 |
| 95 | 2.7591 | 2.3593 | 2.1424 | 2.0050 | 1.9089 | 1.8371 | 1.7810 | 1.7358 | 1.6983 | 1.6667 | 1.6159 | 1.5603 | 1.4982 | 1.4640 | 1.4269 | 1.3862 | 1.3404 | 1.2872 |
| 96 | 2.7585 | 2.3587 | 2.1417 | 2.0044 | 1.9082 | 1.8364 | 1.7803 | 1.7351 | 1.6976 | 1.6659 | 1.6152 | 1.5595 | 1.4974 | 1.4631 | 1.4260 | 1.3852 | 1.3394 | 1.2861 |
| 97 | 2.7580 | 2.3581 | 2.1411 | 2.0037 | 1.9076 | 1.8358 | 1.7797 | 1.7344 | 1.6969 | 1.6652 | 1.6145 | 1.5588 | 1.4966 | 1.4623 | 1.4252 | 1.3843 | 1.3385 | 1.2850 |
| 98 | 2.7574 | 2.3575 | 2.1405 | 2.0031 | 1.9070 | 1.8351 | 1.7790 | 1.7337 | 1.6962 | 1.6646 | 1.6138 | 1.5581 | 1.4959 | 1.4615 | 1.4243 | 1.3834 | 1.3375 | 1.2840 |
| 99 | 2.7569 | 2.3570 | 2.1399 | 2.0025 | 1.9063 | 1.8345 | 1.7784 | 1.7331 | 1.6956 | 1.6639 | 1.6131 | 1.5573 | 1.4951 | 1.4607 | 1.4235 | 1.3826 | 1.3366 | 1.2829 |
| 100 | 2.7564 | 2.3564 | 2.1394 | 2.0019 | 1.9057 | 1.8339 | 1.7778 | 1.7324 | 1.6949 | 1.6632 | 1.6124 | 1.5566 | 1.4943 | 1.4600 | 1.4227 | 1.3817 | 1.3356 | 1.2819 |
| 101 | 2.7559 | 2.3559 | 2.1388 | 2.0014 | 1.9052 | 1.8333 | 1.7772 | 1.7318 | 1.6943 | 1.6626 | 1.6117 | 1.5559 | 1.4936 | 1.4592 | 1.4219 | 1.3809 | 1.3347 | 1.2808 |
| 102 | 2.7554 | 2.3554 | 2.1383 | 2.0008 | 1.9046 | 1.8327 | 1.7766 | 1.7312 | 1.6937 | 1.6619 | 1.6111 | 1.5553 | 1.4929 | 1.4585 | 1.4211 | 1.3801 | 1.3339 | 1.2799 |
| 103 | 2.7549 | 2.3548 | 2.1377 | 2.0003 | 1.9040 | 1.8321 | 1.7760 | 1.7306 | 1.6930 | 1.6613 | 1.6104 | 1.5546 | 1.4922 | 1.4577 | 1.4204 | 1.3793 | 1.3330 | 1.2789 |
| 104 | 2.7544 | 2.3543 | 2.1372 | 1.9997 | 1.9035 | 1.8316 | 1.7754 | 1.7300 | 1.6925 | 1.6607 | 1.6098 | 1.5539 | 1.4915 | 1.4570 | 1.4196 | 1.3785 | 1.3321 | 1.2779 |
| 105 | 2.7539 | 2.3538 | 2.1367 | 1.9992 | 1.9029 | 1.8310 | 1.7748 | 1.7294 | 1.6919 | 1.6601 | 1.6092 | 1.5533 | 1.4908 | 1.4563 | 1.4189 | 1.3777 | 1.3313 | 1.2770 |
| 106 | 2.7535 | 2.3533 | 2.1362 | 1.9987 | 1.9024 | 1.8305 | 1.7743 | 1.7289 | 1.6913 | 1.6595 | 1.6086 | 1.5527 | 1.4902 | 1.4556 | 1.4182 | 1.3769 | 1.3305 | 1.2760 |
| 107 | 2.7530 | 2.3529 | 2.1357 | 1.9982 | 1.9019 | 1.8299 | 1.7737 | 1.7283 | 1.6907 | 1.6590 | 1.6080 | 1.5521 | 1.4895 | 1.4550 | 1.4175 | 1.3762 | 1.3297 | 1.2751 |
| 108 | 2.7526 | 2.3524 | 2.1352 | 1.9976 | 1.9014 | 1.8294 | 1.7732 | 1.7278 | 1.6902 | 1.6584 | 1.6074 | 1.5515 | 1.4889 | 1.4543 | 1.4168 | 1.3755 | 1.3289 | 1.2742 |
| 109 | 2.7521 | 2.3519 | 2.1347 | 1.9972 | 1.9008 | 1.8289 | 1.7727 | 1.7272 | 1.6896 | 1.6578 | 1.6068 | 1.5509 | 1.4883 | 1.4536 | 1.4161 | 1.3747 | 1.3281 | 1.2734 |
| 110 | 2.7517 | 2.3515 | 2.1343 | 1.9967 | 1.9004 | 1.8284 | 1.7721 | 1.7267 | 1.6891 | 1.6573 | 1.6063 | 1.5503 | 1.4877 | 1.4530 | 1.4154 | 1.3740 | 1.3273 | 1.2725 |
| 111 | 2.7513 | 2.3510 | 2.1338 | 1.9962 | 1.8999 | 1.8279 | 1.7716 | 1.7262 | 1.6886 | 1.6568 | 1.6057 | 1.5497 | 1.4870 | 1.4524 | 1.4148 | 1.3733 | 1.3266 | 1.2716 |
| 112 | 2.7509 | 2.3506 | 2.1333 | 1.9957 | 1.8994 | 1.8274 | 1.7711 | 1.7257 | 1.6881 | 1.6562 | 1.6052 | 1.5492 | 1.4865 | 1.4518 | 1.4141 | 1.3727 | 1.3258 | 1.2708 |
| 113 | 2.7505 | 2.3501 | 2.1329 | 1.9953 | 1.8989 | 1.8269 | 1.7707 | 1.7252 | 1.6875 | 1.6557 | 1.6047 | 1.5486 | 1.4859 | 1.4512 | 1.4135 | 1.3720 | 1.3251 | 1.2700 |
| 114 | 2.7501 | 2.3497 | 2.1325 | 1.9948 | 1.8985 | 1.8265 | 1.7702 | 1.7247 | 1.6871 | 1.6552 | 1.6041 | 1.5481 | 1.4853 | 1.4506 | 1.4129 | 1.3713 | 1.3244 | 1.2692 |
| 115 | 2.7497 | 2.3493 | 2.1320 | 1.9944 | 1.8980 | 1.8260 | 1.7697 | 1.7242 | 1.6866 | 1.6547 | 1.6036 | 1.5475 | 1.4847 | 1.4500 | 1.4123 | 1.3707 | 1.3237 | 1.2684 |
| 116 | 2.7493 | 2.3489 | 2.1316 | 1.9940 | 1.8976 | 1.8255 | 1.7692 | 1.7238 | 1.6861 | 1.6542 | 1.6031 | 1.5470 | 1.4842 | 1.4494 | 1.4117 | 1.3700 | 1.3230 | 1.2676 |
| 117 | 2.7489 | 2.3485 | 2.1312 | 1.9935 | 1.8971 | 1.8251 | 1.7688 | 1.7233 | 1.6856 | 1.6538 | 1.6026 | 1.5465 | 1.4836 | 1.4489 | 1.4111 | 1.3694 | 1.3223 | 1.2668 |
| 118 | 2.7485 | 2.3481 | 2.1308 | 1.9931 | 1.8967 | 1.8247 | 1.7683 | 1.7228 | 1.6852 | 1.6533 | 1.6021 | 1.5460 | 1.4831 | 1.4483 | 1.4105 | 1.3688 | 1.3216 | 1.2661 |
| 119 | 2.7482 | 2.3477 | 2.1304 | 1.9927 | 1.8963 | 1.8242 | 1.7679 | 1.7224 | 1.6847 | 1.6528 | 1.6017 | 1.5455 | 1.4826 | 1.4478 | 1.4099 | 1.3682 | 1.3210 | 1.2653 |
| 120 | 2.7478 | 2.3473 | 2.1300 | 1.9923 | 1.8959 | 1.8238 | 1.7675 | 1.7220 | 1.6842 | 1.6524 | 1.6012 | 1.5450 | 1.4821 | 1.4472 | 1.4094 | 1.3676 | 1.3203 | 1.2646 |
F Distribution (α = 0.05)
| Denominator df | Num df 1 | Num df 2 | Num df 3 | Num df 4 | Num df 5 | Num df 6 | Num df 7 | Num df 8 | Num df 9 | Num df 10 | Num df 12 | Num df 15 | Num df 20 | Num df 24 | Num df 30 | Num df 40 | Num df 60 | Num df 120 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 161.4476 | 199.5000 | 215.7073 | 224.5832 | 230.1619 | 233.9860 | 236.7684 | 238.8827 | 240.5433 | 241.8817 | 243.9060 | 245.9499 | 248.0131 | 249.0518 | 250.0951 | 251.1432 | 252.1957 | 253.2529 |
| 2 | 18.5128 | 19.0000 | 19.1643 | 19.2468 | 19.2964 | 19.3295 | 19.3532 | 19.3710 | 19.3848 | 19.3959 | 19.4125 | 19.4291 | 19.4458 | 19.4541 | 19.4624 | 19.4707 | 19.4791 | 19.4874 |
| 3 | 10.1280 | 9.5521 | 9.2766 | 9.1172 | 9.0135 | 8.9406 | 8.8867 | 8.8452 | 8.8123 | 8.7855 | 8.7446 | 8.7029 | 8.6602 | 8.6385 | 8.6166 | 8.5944 | 8.5720 | 8.5494 |
| 4 | 7.7086 | 6.9443 | 6.5914 | 6.3882 | 6.2561 | 6.1631 | 6.0942 | 6.0410 | 5.9988 | 5.9644 | 5.9117 | 5.8578 | 5.8025 | 5.7744 | 5.7459 | 5.7170 | 5.6877 | 5.6581 |
| 5 | 6.6079 | 5.7861 | 5.4095 | 5.1922 | 5.0503 | 4.9503 | 4.8759 | 4.8183 | 4.7725 | 4.7351 | 4.6777 | 4.6188 | 4.5581 | 4.5272 | 4.4957 | 4.4638 | 4.4314 | 4.3985 |
| 6 | 5.9874 | 5.1433 | 4.7571 | 4.5337 | 4.3874 | 4.2839 | 4.2067 | 4.1468 | 4.0990 | 4.0600 | 3.9999 | 3.9381 | 3.8742 | 3.8415 | 3.8082 | 3.7743 | 3.7398 | 3.7047 |
| 7 | 5.5914 | 4.7374 | 4.3468 | 4.1203 | 3.9715 | 3.8660 | 3.7870 | 3.7257 | 3.6767 | 3.6365 | 3.5747 | 3.5107 | 3.4445 | 3.4105 | 3.3758 | 3.3404 | 3.3043 | 3.2674 |
| 8 | 5.3177 | 4.4590 | 4.0662 | 3.8379 | 3.6875 | 3.5806 | 3.5005 | 3.4381 | 3.3881 | 3.3472 | 3.2839 | 3.2184 | 3.1503 | 3.1152 | 3.0794 | 3.0428 | 3.0053 | 2.9669 |
| 9 | 5.1174 | 4.2565 | 3.8625 | 3.6331 | 3.4817 | 3.3738 | 3.2927 | 3.2296 | 3.1789 | 3.1373 | 3.0729 | 3.0061 | 2.9365 | 2.9005 | 2.8637 | 2.8259 | 2.7872 | 2.7475 |
| 10 | 4.9646 | 4.1028 | 3.7083 | 3.4780 | 3.3258 | 3.2172 | 3.1355 | 3.0717 | 3.0204 | 2.9782 | 2.9130 | 2.8450 | 2.7740 | 2.7372 | 2.6996 | 2.6609 | 2.6211 | 2.5801 |
| 11 | 4.8443 | 3.9823 | 3.5874 | 3.3567 | 3.2039 | 3.0946 | 3.0123 | 2.9480 | 2.8962 | 2.8536 | 2.7876 | 2.7186 | 2.6464 | 2.6090 | 2.5705 | 2.5309 | 2.4901 | 2.4480 |
| 12 | 4.7472 | 3.8853 | 3.4903 | 3.2592 | 3.1059 | 2.9961 | 2.9134 | 2.8486 | 2.7964 | 2.7534 | 2.6866 | 2.6169 | 2.5436 | 2.5055 | 2.4663 | 2.4259 | 2.3842 | 2.3410 |
| 13 | 4.6672 | 3.8056 | 3.4105 | 3.1791 | 3.0254 | 2.9153 | 2.8321 | 2.7669 | 2.7144 | 2.6710 | 2.6037 | 2.5331 | 2.4589 | 2.4202 | 2.3803 | 2.3392 | 2.2966 | 2.2524 |
| 14 | 4.6001 | 3.7389 | 3.3439 | 3.1122 | 2.9582 | 2.8477 | 2.7642 | 2.6987 | 2.6458 | 2.6022 | 2.5342 | 2.4630 | 2.3879 | 2.3487 | 2.3082 | 2.2664 | 2.2229 | 2.1778 |
| 15 | 4.5431 | 3.6823 | 3.2874 | 3.0556 | 2.9013 | 2.7905 | 2.7066 | 2.6408 | 2.5876 | 2.5437 | 2.4753 | 2.4034 | 2.3275 | 2.2878 | 2.2468 | 2.2043 | 2.1601 | 2.1141 |
| 16 | 4.4940 | 3.6337 | 3.2389 | 3.0069 | 2.8524 | 2.7413 | 2.6572 | 2.5911 | 2.5377 | 2.4935 | 2.4247 | 2.3522 | 2.2756 | 2.2354 | 2.1938 | 2.1507 | 2.1058 | 2.0589 |
| 17 | 4.4513 | 3.5915 | 3.1968 | 2.9647 | 2.8100 | 2.6987 | 2.6143 | 2.5480 | 2.4943 | 2.4499 | 2.3807 | 2.3077 | 2.2304 | 2.1898 | 2.1477 | 2.1040 | 2.0584 | 2.0107 |
| 18 | 4.4139 | 3.5546 | 3.1599 | 2.9277 | 2.7729 | 2.6613 | 2.5767 | 2.5102 | 2.4563 | 2.4117 | 2.3421 | 2.2686 | 2.1906 | 2.1497 | 2.1071 | 2.0629 | 2.0166 | 1.9681 |
| 19 | 4.3807 | 3.5219 | 3.1274 | 2.8951 | 2.7401 | 2.6283 | 2.5435 | 2.4768 | 2.4227 | 2.3779 | 2.3080 | 2.2341 | 2.1555 | 2.1141 | 2.0712 | 2.0264 | 1.9795 | 1.9302 |
| 20 | 4.3512 | 3.4928 | 3.0984 | 2.8661 | 2.7109 | 2.5990 | 2.5140 | 2.4471 | 2.3928 | 2.3479 | 2.2776 | 2.2033 | 2.1242 | 2.0825 | 2.0391 | 1.9938 | 1.9464 | 1.8963 |
| 21 | 4.3248 | 3.4668 | 3.0725 | 2.8401 | 2.6848 | 2.5727 | 2.4876 | 2.4205 | 2.3660 | 2.3210 | 2.2504 | 2.1757 | 2.0960 | 2.0540 | 2.0102 | 1.9645 | 1.9165 | 1.8657 |
| 22 | 4.3009 | 3.4434 | 3.0491 | 2.8167 | 2.6613 | 2.5491 | 2.4638 | 2.3965 | 2.3419 | 2.2967 | 2.2258 | 2.1508 | 2.0707 | 2.0283 | 1.9842 | 1.9380 | 1.8894 | 1.8380 |
| 23 | 4.2793 | 3.4221 | 3.0280 | 2.7955 | 2.6400 | 2.5277 | 2.4422 | 2.3748 | 2.3201 | 2.2747 | 2.2036 | 2.1282 | 2.0476 | 2.0050 | 1.9605 | 1.9139 | 1.8648 | 1.8128 |
| 24 | 4.2597 | 3.4028 | 3.0088 | 2.7763 | 2.6207 | 2.5082 | 2.4226 | 2.3551 | 2.3002 | 2.2547 | 2.1834 | 2.1077 | 2.0267 | 1.9838 | 1.9390 | 1.8920 | 1.8424 | 1.7896 |
| 25 | 4.2417 | 3.3852 | 2.9912 | 2.7587 | 2.6030 | 2.4904 | 2.4047 | 2.3371 | 2.2821 | 2.2365 | 2.1649 | 2.0889 | 2.0075 | 1.9643 | 1.9192 | 1.8718 | 1.8217 | 1.7684 |
| 26 | 4.2252 | 3.3690 | 2.9752 | 2.7426 | 2.5868 | 2.4741 | 2.3883 | 2.3205 | 2.2655 | 2.2197 | 2.1479 | 2.0716 | 1.9898 | 1.9464 | 1.9010 | 1.8533 | 1.8027 | 1.7488 |
| 27 | 4.2100 | 3.3541 | 2.9604 | 2.7278 | 2.5719 | 2.4591 | 2.3732 | 2.3053 | 2.2501 | 2.2043 | 2.1323 | 2.0558 | 1.9736 | 1.9299 | 1.8842 | 1.8361 | 1.7851 | 1.7306 |
| 28 | 4.1960 | 3.3404 | 2.9467 | 2.7141 | 2.5581 | 2.4453 | 2.3593 | 2.2913 | 2.2360 | 2.1900 | 2.1179 | 2.0411 | 1.9586 | 1.9147 | 1.8687 | 1.8203 | 1.7689 | 1.7138 |
| 29 | 4.1830 | 3.3277 | 2.9340 | 2.7014 | 2.5454 | 2.4324 | 2.3463 | 2.2783 | 2.2229 | 2.1768 | 2.1045 | 2.0275 | 1.9446 | 1.9005 | 1.8543 | 1.8055 | 1.7537 | 1.6981 |
| 30 | 4.1709 | 3.3158 | 2.9223 | 2.6896 | 2.5336 | 2.4205 | 2.3343 | 2.2662 | 2.2107 | 2.1646 | 2.0921 | 2.0148 | 1.9317 | 1.8874 | 1.8409 | 1.7918 | 1.7396 | 1.6835 |
| 31 | 4.1596 | 3.3048 | 2.9113 | 2.6787 | 2.5225 | 2.4094 | 2.3232 | 2.2549 | 2.1994 | 2.1532 | 2.0805 | 2.0030 | 1.9196 | 1.8751 | 1.8283 | 1.7790 | 1.7264 | 1.6697 |
| 32 | 4.1491 | 3.2945 | 2.9011 | 2.6684 | 2.5123 | 2.3991 | 2.3127 | 2.2444 | 2.1888 | 2.1425 | 2.0697 | 1.9920 | 1.9083 | 1.8636 | 1.8166 | 1.7670 | 1.7140 | 1.6569 |
| 33 | 4.1393 | 3.2849 | 2.8916 | 2.6589 | 2.5026 | 2.3894 | 2.3030 | 2.2346 | 2.1789 | 2.1325 | 2.0595 | 1.9817 | 1.8977 | 1.8528 | 1.8056 | 1.7557 | 1.7024 | 1.6448 |
| 34 | 4.1300 | 3.2759 | 2.8826 | 2.6499 | 2.4936 | 2.3803 | 2.2938 | 2.2253 | 2.1696 | 2.1231 | 2.0500 | 1.9720 | 1.8877 | 1.8427 | 1.7953 | 1.7451 | 1.6914 | 1.6333 |
| 35 | 4.1213 | 3.2674 | 2.8742 | 2.6415 | 2.4851 | 2.3718 | 2.2852 | 2.2167 | 2.1608 | 2.1143 | 2.0411 | 1.9629 | 1.8784 | 1.8332 | 1.7856 | 1.7351 | 1.6811 | 1.6226 |
| 36 | 4.1132 | 3.2594 | 2.8663 | 2.6335 | 2.4772 | 2.3638 | 2.2771 | 2.2085 | 2.1526 | 2.1061 | 2.0327 | 1.9543 | 1.8696 | 1.8242 | 1.7764 | 1.7257 | 1.6714 | 1.6124 |
| 37 | 4.1055 | 3.2519 | 2.8588 | 2.6261 | 2.4696 | 2.3562 | 2.2695 | 2.2008 | 2.1449 | 2.0982 | 2.0248 | 1.9462 | 1.8612 | 1.8157 | 1.7678 | 1.7168 | 1.6621 | 1.6027 |
| 38 | 4.0982 | 3.2448 | 2.8517 | 2.6190 | 2.4625 | 2.3490 | 2.2623 | 2.1936 | 2.1375 | 2.0909 | 2.0173 | 1.9386 | 1.8534 | 1.8077 | 1.7596 | 1.7084 | 1.6534 | 1.5936 |
| 39 | 4.0913 | 3.2381 | 2.8451 | 2.6123 | 2.4558 | 2.3423 | 2.2555 | 2.1867 | 2.1306 | 2.0839 | 2.0102 | 1.9313 | 1.8459 | 1.8001 | 1.7518 | 1.7004 | 1.6451 | 1.5849 |
| 40 | 4.0847 | 3.2317 | 2.8387 | 2.6060 | 2.4495 | 2.3359 | 2.2490 | 2.1802 | 2.1240 | 2.0772 | 2.0035 | 1.9245 | 1.8389 | 1.7929 | 1.7444 | 1.6928 | 1.6373 | 1.5766 |
| 41 | 4.0785 | 3.2257 | 2.8327 | 2.6000 | 2.4434 | 2.3298 | 2.2429 | 2.1740 | 2.1178 | 2.0710 | 1.9971 | 1.9179 | 1.8321 | 1.7861 | 1.7374 | 1.6856 | 1.6298 | 1.5687 |
| 42 | 4.0727 | 3.2199 | 2.8270 | 2.5943 | 2.4377 | 2.3240 | 2.2371 | 2.1681 | 2.1119 | 2.0650 | 1.9910 | 1.9118 | 1.8258 | 1.7796 | 1.7308 | 1.6787 | 1.6226 | 1.5612 |
| 43 | 4.0670 | 3.2145 | 2.8216 | 2.5888 | 2.4322 | 2.3185 | 2.2315 | 2.1625 | 2.1062 | 2.0593 | 1.9852 | 1.9059 | 1.8197 | 1.7734 | 1.7244 | 1.6722 | 1.6158 | 1.5540 |
| 44 | 4.0617 | 3.2093 | 2.8165 | 2.5837 | 2.4270 | 2.3133 | 2.2263 | 2.1572 | 2.1009 | 2.0539 | 1.9797 | 1.9002 | 1.8139 | 1.7675 | 1.7184 | 1.6659 | 1.6093 | 1.5471 |
| 45 | 4.0566 | 3.2043 | 2.8115 | 2.5787 | 2.4221 | 2.3083 | 2.2212 | 2.1521 | 2.0958 | 2.0487 | 1.9745 | 1.8949 | 1.8084 | 1.7618 | 1.7126 | 1.6599 | 1.6031 | 1.5406 |
| 46 | 4.0517 | 3.1996 | 2.8068 | 2.5740 | 2.4174 | 2.3035 | 2.2164 | 2.1473 | 2.0909 | 2.0438 | 1.9695 | 1.8898 | 1.8031 | 1.7564 | 1.7070 | 1.6542 | 1.5971 | 1.5343 |
| 47 | 4.0471 | 3.1951 | 2.8024 | 2.5695 | 2.4128 | 2.2990 | 2.2118 | 2.1427 | 2.0862 | 2.0391 | 1.9647 | 1.8849 | 1.7980 | 1.7513 | 1.7017 | 1.6488 | 1.5914 | 1.5282 |
| 48 | 4.0427 | 3.1907 | 2.7981 | 2.5652 | 2.4085 | 2.2946 | 2.2074 | 2.1382 | 2.0817 | 2.0346 | 1.9601 | 1.8802 | 1.7932 | 1.7464 | 1.6967 | 1.6435 | 1.5859 | 1.5224 |
| 49 | 4.0384 | 3.1866 | 2.7939 | 2.5611 | 2.4044 | 2.2904 | 2.2032 | 2.1340 | 2.0775 | 2.0303 | 1.9557 | 1.8757 | 1.7886 | 1.7416 | 1.6918 | 1.6385 | 1.5807 | 1.5168 |
| 50 | 4.0343 | 3.1826 | 2.7900 | 2.5572 | 2.4004 | 2.2864 | 2.1992 | 2.1299 | 2.0734 | 2.0261 | 1.9515 | 1.8714 | 1.7841 | 1.7371 | 1.6872 | 1.6337 | 1.5757 | 1.5115 |
| 51 | 4.0304 | 3.1788 | 2.7862 | 2.5534 | 2.3966 | 2.2826 | 2.1953 | 2.1260 | 2.0694 | 2.0222 | 1.9475 | 1.8673 | 1.7799 | 1.7327 | 1.6827 | 1.6290 | 1.5708 | 1.5063 |
| 52 | 4.0266 | 3.1751 | 2.7826 | 2.5498 | 2.3930 | 2.2789 | 2.1916 | 2.1223 | 2.0656 | 2.0184 | 1.9436 | 1.8633 | 1.7758 | 1.7285 | 1.6784 | 1.6246 | 1.5661 | 1.5013 |
| 53 | 4.0230 | 3.1716 | 2.7791 | 2.5463 | 2.3894 | 2.2754 | 2.1881 | 2.1187 | 2.0620 | 2.0147 | 1.9399 | 1.8595 | 1.7718 | 1.7245 | 1.6742 | 1.6203 | 1.5616 | 1.4965 |
| 54 | 4.0195 | 3.1682 | 2.7758 | 2.5429 | 2.3861 | 2.2720 | 2.1846 | 2.1152 | 2.0585 | 2.0112 | 1.9363 | 1.8558 | 1.7680 | 1.7206 | 1.6702 | 1.6162 | 1.5573 | 1.4919 |
| 55 | 4.0162 | 3.1650 | 2.7725 | 2.5397 | 2.3828 | 2.2687 | 2.1813 | 2.1119 | 2.0552 | 2.0078 | 1.9329 | 1.8523 | 1.7644 | 1.7169 | 1.6664 | 1.6122 | 1.5531 | 1.4875 |
| 56 | 4.0130 | 3.1619 | 2.7694 | 2.5366 | 2.3797 | 2.2656 | 2.1782 | 2.1087 | 2.0519 | 2.0045 | 1.9295 | 1.8489 | 1.7609 | 1.7133 | 1.6627 | 1.6084 | 1.5491 | 1.4831 |
| 57 | 4.0099 | 3.1588 | 2.7664 | 2.5336 | 2.3767 | 2.2625 | 2.1751 | 2.1056 | 2.0488 | 2.0014 | 1.9263 | 1.8456 | 1.7575 | 1.7098 | 1.6591 | 1.6046 | 1.5452 | 1.4790 |
| 58 | 4.0069 | 3.1559 | 2.7636 | 2.5307 | 2.3738 | 2.2596 | 2.1721 | 2.1026 | 2.0458 | 1.9983 | 1.9233 | 1.8424 | 1.7542 | 1.7065 | 1.6557 | 1.6011 | 1.5415 | 1.4749 |
| 59 | 4.0040 | 3.1531 | 2.7608 | 2.5279 | 2.3710 | 2.2568 | 2.1693 | 2.0997 | 2.0429 | 1.9954 | 1.9203 | 1.8394 | 1.7510 | 1.7032 | 1.6524 | 1.5976 | 1.5378 | 1.4710 |
| 60 | 4.0012 | 3.1504 | 2.7581 | 2.5252 | 2.3683 | 2.2541 | 2.1665 | 2.0970 | 2.0401 | 1.9926 | 1.9174 | 1.8364 | 1.7480 | 1.7001 | 1.6491 | 1.5943 | 1.5343 | 1.4673 |
| 61 | 3.9985 | 3.1478 | 2.7555 | 2.5226 | 2.3657 | 2.2514 | 2.1639 | 2.0943 | 2.0374 | 1.9899 | 1.9146 | 1.8336 | 1.7450 | 1.6971 | 1.6460 | 1.5910 | 1.5309 | 1.4636 |
| 62 | 3.9959 | 3.1453 | 2.7530 | 2.5201 | 2.3631 | 2.2489 | 2.1613 | 2.0917 | 2.0348 | 1.9872 | 1.9119 | 1.8308 | 1.7422 | 1.6942 | 1.6430 | 1.5879 | 1.5276 | 1.4601 |
| 63 | 3.9934 | 3.1428 | 2.7505 | 2.5177 | 2.3607 | 2.2464 | 2.1588 | 2.0892 | 2.0322 | 1.9847 | 1.9093 | 1.8282 | 1.7394 | 1.6913 | 1.6401 | 1.5849 | 1.5244 | 1.4566 |
| 64 | 3.9909 | 3.1404 | 2.7482 | 2.5153 | 2.3583 | 2.2440 | 2.1564 | 2.0868 | 2.0298 | 1.9822 | 1.9068 | 1.8256 | 1.7367 | 1.6886 | 1.6373 | 1.5819 | 1.5213 | 1.4533 |
| 65 | 3.9886 | 3.1381 | 2.7459 | 2.5130 | 2.3560 | 2.2417 | 2.1541 | 2.0844 | 2.0274 | 1.9798 | 1.9044 | 1.8231 | 1.7342 | 1.6860 | 1.6345 | 1.5791 | 1.5183 | 1.4500 |
| 66 | 3.9863 | 3.1359 | 2.7437 | 2.5108 | 2.3538 | 2.2395 | 2.1518 | 2.0821 | 2.0251 | 1.9775 | 1.9020 | 1.8207 | 1.7316 | 1.6834 | 1.6319 | 1.5763 | 1.5154 | 1.4469 |
| 67 | 3.9840 | 3.1338 | 2.7416 | 2.5087 | 2.3517 | 2.2373 | 2.1497 | 2.0799 | 2.0229 | 1.9752 | 1.8997 | 1.8183 | 1.7292 | 1.6809 | 1.6293 | 1.5737 | 1.5126 | 1.4438 |
| 68 | 3.9819 | 3.1317 | 2.7395 | 2.5066 | 2.3496 | 2.2352 | 2.1475 | 2.0778 | 2.0207 | 1.9730 | 1.8975 | 1.8160 | 1.7268 | 1.6785 | 1.6268 | 1.5711 | 1.5098 | 1.4409 |
| 69 | 3.9798 | 3.1296 | 2.7375 | 2.5046 | 2.3475 | 2.2332 | 2.1455 | 2.0757 | 2.0186 | 1.9709 | 1.8953 | 1.8138 | 1.7246 | 1.6761 | 1.6244 | 1.5685 | 1.5072 | 1.4380 |
| 70 | 3.9778 | 3.1277 | 2.7355 | 2.5027 | 2.3456 | 2.2312 | 2.1435 | 2.0737 | 2.0166 | 1.9689 | 1.8932 | 1.8117 | 1.7223 | 1.6738 | 1.6220 | 1.5661 | 1.5046 | 1.4351 |
| 71 | 3.9758 | 3.1258 | 2.7336 | 2.5008 | 2.3437 | 2.2293 | 2.1415 | 2.0717 | 2.0146 | 1.9669 | 1.8912 | 1.8096 | 1.7202 | 1.6716 | 1.6198 | 1.5637 | 1.5020 | 1.4324 |
| 72 | 3.9739 | 3.1239 | 2.7318 | 2.4989 | 2.3418 | 2.2274 | 2.1397 | 2.0698 | 2.0127 | 1.9649 | 1.8892 | 1.8076 | 1.7181 | 1.6695 | 1.6175 | 1.5614 | 1.4996 | 1.4297 |
| 73 | 3.9720 | 3.1221 | 2.7300 | 2.4971 | 2.3400 | 2.2256 | 2.1378 | 2.0680 | 2.0108 | 1.9631 | 1.8873 | 1.8056 | 1.7160 | 1.6674 | 1.6154 | 1.5591 | 1.4972 | 1.4271 |
| 74 | 3.9702 | 3.1203 | 2.7283 | 2.4954 | 2.3383 | 2.2238 | 2.1360 | 2.0662 | 2.0090 | 1.9612 | 1.8855 | 1.8037 | 1.7140 | 1.6653 | 1.6133 | 1.5569 | 1.4949 | 1.4246 |
| 75 | 3.9685 | 3.1186 | 2.7266 | 2.4937 | 2.3366 | 2.2221 | 2.1343 | 2.0644 | 2.0073 | 1.9594 | 1.8836 | 1.8018 | 1.7121 | 1.6633 | 1.6112 | 1.5548 | 1.4926 | 1.4221 |
| 76 | 3.9668 | 3.1170 | 2.7249 | 2.4920 | 2.3349 | 2.2204 | 2.1326 | 2.0627 | 2.0055 | 1.9577 | 1.8819 | 1.8000 | 1.7102 | 1.6614 | 1.6092 | 1.5527 | 1.4904 | 1.4197 |
| 77 | 3.9651 | 3.1154 | 2.7233 | 2.4904 | 2.3333 | 2.2188 | 2.1310 | 2.0611 | 2.0039 | 1.9560 | 1.8802 | 1.7982 | 1.7084 | 1.6595 | 1.6073 | 1.5507 | 1.4883 | 1.4174 |
| 78 | 3.9635 | 3.1138 | 2.7218 | 2.4889 | 2.3317 | 2.2172 | 2.1294 | 2.0595 | 2.0022 | 1.9544 | 1.8785 | 1.7965 | 1.7066 | 1.6577 | 1.6054 | 1.5487 | 1.4862 | 1.4151 |
| 79 | 3.9619 | 3.1123 | 2.7203 | 2.4874 | 2.3302 | 2.2157 | 2.1278 | 2.0579 | 2.0007 | 1.9528 | 1.8769 | 1.7949 | 1.7049 | 1.6559 | 1.6035 | 1.5468 | 1.4841 | 1.4129 |
| 80 | 3.9604 | 3.1108 | 2.7188 | 2.4859 | 2.3287 | 2.2142 | 2.1263 | 2.0564 | 1.9991 | 1.9512 | 1.8753 | 1.7932 | 1.7032 | 1.6542 | 1.6017 | 1.5449 | 1.4821 | 1.4107 |
| 81 | 3.9589 | 3.1093 | 2.7173 | 2.4844 | 2.3273 | 2.2127 | 2.1248 | 2.0549 | 1.9976 | 1.9497 | 1.8737 | 1.7916 | 1.7015 | 1.6525 | 1.6000 | 1.5431 | 1.4802 | 1.4085 |
| 82 | 3.9574 | 3.1079 | 2.7159 | 2.4830 | 2.3259 | 2.2113 | 2.1234 | 2.0534 | 1.9961 | 1.9482 | 1.8722 | 1.7901 | 1.6999 | 1.6508 | 1.5983 | 1.5413 | 1.4783 | 1.4065 |
| 83 | 3.9560 | 3.1065 | 2.7146 | 2.4817 | 2.3245 | 2.2099 | 2.1220 | 2.0520 | 1.9947 | 1.9468 | 1.8707 | 1.7886 | 1.6983 | 1.6492 | 1.5966 | 1.5395 | 1.4764 | 1.4044 |
| 84 | 3.9546 | 3.1052 | 2.7132 | 2.4803 | 2.3231 | 2.2086 | 2.1206 | 2.0506 | 1.9933 | 1.9454 | 1.8693 | 1.7871 | 1.6968 | 1.6476 | 1.5950 | 1.5378 | 1.4746 | 1.4024 |
| 85 | 3.9532 | 3.1038 | 2.7119 | 2.4790 | 2.3218 | 2.2072 | 2.1193 | 2.0493 | 1.9919 | 1.9440 | 1.8679 | 1.7856 | 1.6953 | 1.6461 | 1.5934 | 1.5361 | 1.4728 | 1.4005 |
| 86 | 3.9519 | 3.1026 | 2.7106 | 2.4777 | 2.3205 | 2.2059 | 2.1180 | 2.0480 | 1.9906 | 1.9426 | 1.8665 | 1.7842 | 1.6938 | 1.6446 | 1.5918 | 1.5345 | 1.4711 | 1.3986 |
| 87 | 3.9506 | 3.1013 | 2.7094 | 2.4765 | 2.3193 | 2.2047 | 2.1167 | 2.0467 | 1.9893 | 1.9413 | 1.8652 | 1.7829 | 1.6924 | 1.6431 | 1.5903 | 1.5329 | 1.4694 | 1.3967 |
| 88 | 3.9493 | 3.1001 | 2.7082 | 2.4753 | 2.3181 | 2.2034 | 2.1155 | 2.0454 | 1.9880 | 1.9400 | 1.8639 | 1.7815 | 1.6910 | 1.6417 | 1.5888 | 1.5314 | 1.4677 | 1.3949 |
| 89 | 3.9481 | 3.0989 | 2.7070 | 2.4741 | 2.3169 | 2.2022 | 2.1143 | 2.0442 | 1.9868 | 1.9388 | 1.8626 | 1.7802 | 1.6896 | 1.6403 | 1.5874 | 1.5299 | 1.4661 | 1.3931 |
| 90 | 3.9469 | 3.0977 | 2.7058 | 2.4729 | 2.3157 | 2.2011 | 2.1131 | 2.0430 | 1.9856 | 1.9376 | 1.8613 | 1.7789 | 1.6883 | 1.6389 | 1.5859 | 1.5284 | 1.4645 | 1.3914 |
| 91 | 3.9457 | 3.0966 | 2.7047 | 2.4718 | 2.3145 | 2.1999 | 2.1119 | 2.0418 | 1.9844 | 1.9364 | 1.8601 | 1.7777 | 1.6870 | 1.6376 | 1.5845 | 1.5269 | 1.4630 | 1.3897 |
| 92 | 3.9445 | 3.0954 | 2.7036 | 2.4707 | 2.3134 | 2.1988 | 2.1108 | 2.0407 | 1.9833 | 1.9352 | 1.8589 | 1.7764 | 1.6857 | 1.6363 | 1.5832 | 1.5255 | 1.4615 | 1.3880 |
| 93 | 3.9434 | 3.0943 | 2.7025 | 2.4696 | 2.3123 | 2.1977 | 2.1097 | 2.0395 | 1.9821 | 1.9341 | 1.8578 | 1.7752 | 1.6845 | 1.6350 | 1.5819 | 1.5241 | 1.4600 | 1.3863 |
| 94 | 3.9423 | 3.0933 | 2.7014 | 2.4685 | 2.3113 | 2.1966 | 2.1086 | 2.0384 | 1.9810 | 1.9329 | 1.8566 | 1.7741 | 1.6832 | 1.6337 | 1.5806 | 1.5227 | 1.4585 | 1.3847 |
| 95 | 3.9412 | 3.0922 | 2.7004 | 2.4675 | 2.3102 | 2.1955 | 2.1075 | 2.0374 | 1.9799 | 1.9318 | 1.8555 | 1.7729 | 1.6821 | 1.6325 | 1.5793 | 1.5214 | 1.4571 | 1.3832 |
| 96 | 3.9402 | 3.0912 | 2.6994 | 2.4665 | 2.3092 | 2.1945 | 2.1065 | 2.0363 | 1.9789 | 1.9308 | 1.8544 | 1.7718 | 1.6809 | 1.6313 | 1.5780 | 1.5201 | 1.4557 | 1.3816 |
| 97 | 3.9391 | 3.0902 | 2.6984 | 2.4655 | 2.3082 | 2.1935 | 2.1054 | 2.0353 | 1.9778 | 1.9297 | 1.8533 | 1.7707 | 1.6797 | 1.6301 | 1.5768 | 1.5188 | 1.4543 | 1.3801 |
| 98 | 3.9381 | 3.0892 | 2.6974 | 2.4645 | 2.3072 | 2.1925 | 2.1044 | 2.0343 | 1.9768 | 1.9287 | 1.8523 | 1.7696 | 1.6786 | 1.6289 | 1.5756 | 1.5176 | 1.4530 | 1.3786 |
| 99 | 3.9371 | 3.0882 | 2.6965 | 2.4636 | 2.3063 | 2.1915 | 2.1035 | 2.0333 | 1.9758 | 1.9277 | 1.8513 | 1.7686 | 1.6775 | 1.6278 | 1.5745 | 1.5163 | 1.4517 | 1.3772 |
| 100 | 3.9361 | 3.0873 | 2.6955 | 2.4626 | 2.3053 | 2.1906 | 2.1025 | 2.0323 | 1.9748 | 1.9267 | 1.8503 | 1.7675 | 1.6764 | 1.6267 | 1.5733 | 1.5151 | 1.4504 | 1.3757 |
| 101 | 3.9352 | 3.0864 | 2.6946 | 2.4617 | 2.3044 | 2.1897 | 2.1016 | 2.0314 | 1.9739 | 1.9257 | 1.8493 | 1.7665 | 1.6754 | 1.6256 | 1.5722 | 1.5139 | 1.4491 | 1.3743 |
| 102 | 3.9343 | 3.0855 | 2.6937 | 2.4608 | 2.3035 | 2.1888 | 2.1007 | 2.0305 | 1.9729 | 1.9248 | 1.8483 | 1.7655 | 1.6743 | 1.6246 | 1.5711 | 1.5128 | 1.4479 | 1.3730 |
| 103 | 3.9333 | 3.0846 | 2.6928 | 2.4599 | 2.3026 | 2.1879 | 2.0998 | 2.0295 | 1.9720 | 1.9238 | 1.8474 | 1.7645 | 1.6733 | 1.6235 | 1.5700 | 1.5116 | 1.4467 | 1.3716 |
| 104 | 3.9324 | 3.0837 | 2.6920 | 2.4591 | 2.3017 | 2.1870 | 2.0989 | 2.0286 | 1.9711 | 1.9229 | 1.8464 | 1.7636 | 1.6723 | 1.6225 | 1.5689 | 1.5105 | 1.4455 | 1.3703 |
| 105 | 3.9316 | 3.0829 | 2.6911 | 2.4582 | 2.3009 | 2.1861 | 2.0980 | 2.0278 | 1.9702 | 1.9220 | 1.8455 | 1.7627 | 1.6714 | 1.6215 | 1.5679 | 1.5094 | 1.4443 | 1.3690 |
| 106 | 3.9307 | 3.0820 | 2.6903 | 2.4574 | 2.3001 | 2.1853 | 2.0972 | 2.0269 | 1.9694 | 1.9212 | 1.8446 | 1.7617 | 1.6704 | 1.6205 | 1.5669 | 1.5084 | 1.4431 | 1.3677 |
| 107 | 3.9298 | 3.0812 | 2.6895 | 2.4566 | 2.2992 | 2.1845 | 2.0963 | 2.0261 | 1.9685 | 1.9203 | 1.8437 | 1.7608 | 1.6695 | 1.6195 | 1.5659 | 1.5073 | 1.4420 | 1.3664 |
| 108 | 3.9290 | 3.0804 | 2.6887 | 2.4558 | 2.2984 | 2.1837 | 2.0955 | 2.0252 | 1.9677 | 1.9195 | 1.8429 | 1.7600 | 1.6685 | 1.6186 | 1.5649 | 1.5063 | 1.4409 | 1.3652 |
| 109 | 3.9282 | 3.0796 | 2.6879 | 2.4550 | 2.2976 | 2.1829 | 2.0947 | 2.0244 | 1.9669 | 1.9186 | 1.8420 | 1.7591 | 1.6676 | 1.6177 | 1.5639 | 1.5053 | 1.4398 | 1.3640 |
| 110 | 3.9274 | 3.0788 | 2.6871 | 2.4542 | 2.2969 | 2.1821 | 2.0939 | 2.0236 | 1.9661 | 1.9178 | 1.8412 | 1.7582 | 1.6667 | 1.6167 | 1.5630 | 1.5043 | 1.4388 | 1.3628 |
| 111 | 3.9266 | 3.0781 | 2.6864 | 2.4535 | 2.2961 | 2.1813 | 2.0931 | 2.0229 | 1.9653 | 1.9170 | 1.8404 | 1.7574 | 1.6659 | 1.6158 | 1.5620 | 1.5033 | 1.4377 | 1.3616 |
| 112 | 3.9258 | 3.0773 | 2.6856 | 2.4527 | 2.2954 | 2.1806 | 2.0924 | 2.0221 | 1.9645 | 1.9162 | 1.8396 | 1.7566 | 1.6650 | 1.6150 | 1.5611 | 1.5023 | 1.4367 | 1.3605 |
| 113 | 3.9251 | 3.0766 | 2.6849 | 2.4520 | 2.2946 | 2.1798 | 2.0916 | 2.0213 | 1.9637 | 1.9155 | 1.8388 | 1.7558 | 1.6642 | 1.6141 | 1.5602 | 1.5014 | 1.4357 | 1.3593 |
| 114 | 3.9243 | 3.0759 | 2.6842 | 2.4513 | 2.2939 | 2.1791 | 2.0909 | 2.0206 | 1.9630 | 1.9147 | 1.8380 | 1.7550 | 1.6633 | 1.6132 | 1.5593 | 1.5005 | 1.4347 | 1.3582 |
| 115 | 3.9236 | 3.0751 | 2.6835 | 2.4506 | 2.2932 | 2.1784 | 2.0902 | 2.0199 | 1.9622 | 1.9140 | 1.8373 | 1.7542 | 1.6625 | 1.6124 | 1.5585 | 1.4995 | 1.4337 | 1.3571 |
| 116 | 3.9229 | 3.0744 | 2.6828 | 2.4499 | 2.2925 | 2.1777 | 2.0895 | 2.0192 | 1.9615 | 1.9133 | 1.8365 | 1.7534 | 1.6617 | 1.6116 | 1.5576 | 1.4986 | 1.4327 | 1.3560 |
| 117 | 3.9222 | 3.0738 | 2.6821 | 2.4492 | 2.2918 | 2.1770 | 2.0888 | 2.0185 | 1.9608 | 1.9125 | 1.8358 | 1.7527 | 1.6610 | 1.6108 | 1.5568 | 1.4978 | 1.4318 | 1.3550 |
| 118 | 3.9215 | 3.0731 | 2.6815 | 2.4485 | 2.2912 | 2.1763 | 2.0881 | 2.0178 | 1.9601 | 1.9118 | 1.8351 | 1.7519 | 1.6602 | 1.6100 | 1.5559 | 1.4969 | 1.4308 | 1.3539 |
| 119 | 3.9208 | 3.0724 | 2.6808 | 2.4479 | 2.2905 | 2.1757 | 2.0874 | 2.0171 | 1.9594 | 1.9111 | 1.8344 | 1.7512 | 1.6594 | 1.6092 | 1.5551 | 1.4960 | 1.4299 | 1.3529 |
| 120 | 3.9201 | 3.0718 | 2.6802 | 2.4472 | 2.2899 | 2.1750 | 2.0868 | 2.0164 | 1.9588 | 1.9105 | 1.8337 | 1.7505 | 1.6587 | 1.6084 | 1.5543 | 1.4952 | 1.4290 | 1.3519 |
F Distribution (α = 0.01)
| Denominator df | Num df 1 | Num df 2 | Num df 3 | Num df 4 | Num df 5 | Num df 6 | Num df 7 | Num df 8 | Num df 9 | Num df 10 | Num df 12 | Num df 15 | Num df 20 | Num df 24 | Num df 30 | Num df 40 | Num df 60 | Num df 120 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 4052.1807 | 4999.5000 | 5403.3520 | 5624.5833 | 5763.6496 | 5858.9861 | 5928.3557 | 5981.0703 | 6022.4732 | 6055.8467 | 6106.3207 | 6157.2846 | 6208.7302 | 6234.6309 | 6260.6486 | 6286.7821 | 6313.0301 | 6339.3913 |
| 2 | 98.5025 | 99.0000 | 99.1662 | 99.2494 | 99.2993 | 99.3326 | 99.3564 | 99.3742 | 99.3881 | 99.3992 | 99.4159 | 99.4325 | 99.4492 | 99.4575 | 99.4658 | 99.4742 | 99.4825 | 99.4908 |
| 3 | 34.1162 | 30.8165 | 29.4567 | 28.7099 | 28.2371 | 27.9107 | 27.6717 | 27.4892 | 27.3452 | 27.2287 | 27.0518 | 26.8722 | 26.6898 | 26.5975 | 26.5045 | 26.4108 | 26.3164 | 26.2211 |
| 4 | 21.1977 | 18.0000 | 16.6944 | 15.9770 | 15.5219 | 15.2069 | 14.9758 | 14.7989 | 14.6591 | 14.5459 | 14.3736 | 14.1982 | 14.0196 | 13.9291 | 13.8377 | 13.7454 | 13.6522 | 13.5581 |
| 5 | 16.2582 | 13.2739 | 12.0600 | 11.3919 | 10.9670 | 10.6723 | 10.4555 | 10.2893 | 10.1578 | 10.0510 | 9.8883 | 9.7222 | 9.5526 | 9.4665 | 9.3793 | 9.2912 | 9.2020 | 9.1118 |
| 6 | 13.7450 | 10.9248 | 9.7795 | 9.1483 | 8.7459 | 8.4661 | 8.2600 | 8.1017 | 7.9761 | 7.8741 | 7.7183 | 7.5590 | 7.3958 | 7.3127 | 7.2285 | 7.1432 | 7.0567 | 6.9690 |
| 7 | 12.2464 | 9.5466 | 8.4513 | 7.8466 | 7.4604 | 7.1914 | 6.9928 | 6.8400 | 6.7188 | 6.6201 | 6.4691 | 6.3143 | 6.1554 | 6.0743 | 5.9920 | 5.9084 | 5.8236 | 5.7373 |
| 8 | 11.2586 | 8.6491 | 7.5910 | 7.0061 | 6.6318 | 6.3707 | 6.1776 | 6.0289 | 5.9106 | 5.8143 | 5.6667 | 5.5151 | 5.3591 | 5.2793 | 5.1981 | 5.1156 | 5.0316 | 4.9461 |
| 9 | 10.5614 | 8.0215 | 6.9919 | 6.4221 | 6.0569 | 5.8018 | 5.6129 | 5.4671 | 5.3511 | 5.2565 | 5.1114 | 4.9621 | 4.8080 | 4.7290 | 4.6486 | 4.5666 | 4.4831 | 4.3978 |
| 10 | 10.0443 | 7.5594 | 6.5523 | 5.9943 | 5.6363 | 5.3858 | 5.2001 | 5.0567 | 4.9424 | 4.8491 | 4.7059 | 4.5581 | 4.4054 | 4.3269 | 4.2469 | 4.1653 | 4.0819 | 3.9965 |
| 11 | 9.6460 | 7.2057 | 6.2167 | 5.6683 | 5.3160 | 5.0692 | 4.8861 | 4.7445 | 4.6315 | 4.5393 | 4.3974 | 4.2509 | 4.0990 | 4.0209 | 3.9411 | 3.8596 | 3.7761 | 3.6904 |
| 12 | 9.3302 | 6.9266 | 5.9525 | 5.4120 | 5.0643 | 4.8206 | 4.6395 | 4.4994 | 4.3875 | 4.2961 | 4.1553 | 4.0096 | 3.8584 | 3.7805 | 3.7008 | 3.6192 | 3.5355 | 3.4494 |
| 13 | 9.0738 | 6.7010 | 5.7394 | 5.2053 | 4.8616 | 4.6204 | 4.4410 | 4.3021 | 4.1911 | 4.1003 | 3.9603 | 3.8154 | 3.6646 | 3.5868 | 3.5070 | 3.4253 | 3.3413 | 3.2548 |
| 14 | 8.8616 | 6.5149 | 5.5639 | 5.0354 | 4.6950 | 4.4558 | 4.2779 | 4.1399 | 4.0297 | 3.9394 | 3.8001 | 3.6557 | 3.5052 | 3.4274 | 3.3476 | 3.2656 | 3.1813 | 3.0942 |
| 15 | 8.6831 | 6.3589 | 5.4170 | 4.8932 | 4.5556 | 4.3183 | 4.1415 | 4.0045 | 3.8948 | 3.8049 | 3.6662 | 3.5222 | 3.3719 | 3.2940 | 3.2141 | 3.1319 | 3.0471 | 2.9595 |
| 16 | 8.5310 | 6.2262 | 5.2922 | 4.7726 | 4.4374 | 4.2016 | 4.0259 | 3.8896 | 3.7804 | 3.6909 | 3.5527 | 3.4089 | 3.2587 | 3.1808 | 3.1007 | 3.0182 | 2.9330 | 2.8447 |
| 17 | 8.3997 | 6.1121 | 5.1850 | 4.6690 | 4.3359 | 4.1015 | 3.9267 | 3.7910 | 3.6822 | 3.5931 | 3.4552 | 3.3117 | 3.1615 | 3.0835 | 3.0032 | 2.9205 | 2.8348 | 2.7459 |
| 18 | 8.2854 | 6.0129 | 5.0919 | 4.5790 | 4.2479 | 4.0146 | 3.8406 | 3.7054 | 3.5971 | 3.5082 | 3.3706 | 3.2273 | 3.0771 | 2.9990 | 2.9185 | 2.8354 | 2.7493 | 2.6597 |
| 19 | 8.1849 | 5.9259 | 5.0103 | 4.5003 | 4.1708 | 3.9386 | 3.7653 | 3.6305 | 3.5225 | 3.4338 | 3.2965 | 3.1533 | 3.0031 | 2.9249 | 2.8442 | 2.7608 | 2.6742 | 2.5839 |
| 20 | 8.0960 | 5.8489 | 4.9382 | 4.4307 | 4.1027 | 3.8714 | 3.6987 | 3.5644 | 3.4567 | 3.3682 | 3.2311 | 3.0880 | 2.9377 | 2.8594 | 2.7785 | 2.6947 | 2.6077 | 2.5168 |
| 21 | 8.0166 | 5.7804 | 4.8740 | 4.3688 | 4.0421 | 3.8117 | 3.6396 | 3.5056 | 3.3981 | 3.3098 | 3.1730 | 3.0300 | 2.8796 | 2.8010 | 2.7200 | 2.6359 | 2.5484 | 2.4568 |
| 22 | 7.9454 | 5.7190 | 4.8166 | 4.3134 | 3.9880 | 3.7583 | 3.5867 | 3.4530 | 3.3458 | 3.2576 | 3.1209 | 2.9779 | 2.8274 | 2.7488 | 2.6675 | 2.5831 | 2.4951 | 2.4029 |
| 23 | 7.8811 | 5.6637 | 4.7649 | 4.2636 | 3.9392 | 3.7102 | 3.5390 | 3.4057 | 3.2986 | 3.2106 | 3.0740 | 2.9311 | 2.7805 | 2.7017 | 2.6202 | 2.5355 | 2.4471 | 2.3542 |
| 24 | 7.8229 | 5.6136 | 4.7181 | 4.2184 | 3.8951 | 3.6667 | 3.4959 | 3.3629 | 3.2560 | 3.1681 | 3.0316 | 2.8887 | 2.7380 | 2.6591 | 2.5773 | 2.4923 | 2.4035 | 2.3100 |
| 25 | 7.7698 | 5.5680 | 4.6755 | 4.1774 | 3.8550 | 3.6272 | 3.4568 | 3.3239 | 3.2172 | 3.1294 | 2.9931 | 2.8502 | 2.6993 | 2.6203 | 2.5383 | 2.4530 | 2.3637 | 2.2696 |
| 26 | 7.7213 | 5.5263 | 4.6366 | 4.1400 | 3.8183 | 3.5911 | 3.4210 | 3.2884 | 3.1818 | 3.0941 | 2.9578 | 2.8150 | 2.6640 | 2.5848 | 2.5026 | 2.4170 | 2.3273 | 2.2325 |
| 27 | 7.6767 | 5.4881 | 4.6009 | 4.1056 | 3.7848 | 3.5580 | 3.3882 | 3.2558 | 3.1494 | 3.0618 | 2.9256 | 2.7827 | 2.6316 | 2.5522 | 2.4699 | 2.3840 | 2.2938 | 2.1985 |
| 28 | 7.6356 | 5.4529 | 4.5681 | 4.0740 | 3.7539 | 3.5276 | 3.3581 | 3.2259 | 3.1195 | 3.0320 | 2.8959 | 2.7530 | 2.6017 | 2.5223 | 2.4397 | 2.3535 | 2.2629 | 2.1670 |
| 29 | 7.5977 | 5.4204 | 4.5378 | 4.0449 | 3.7254 | 3.4995 | 3.3303 | 3.1982 | 3.0920 | 3.0045 | 2.8685 | 2.7256 | 2.5742 | 2.4946 | 2.4118 | 2.3253 | 2.2344 | 2.1379 |
| 30 | 7.5625 | 5.3903 | 4.5097 | 4.0179 | 3.6990 | 3.4735 | 3.3045 | 3.1726 | 3.0665 | 2.9791 | 2.8431 | 2.7002 | 2.5487 | 2.4689 | 2.3860 | 2.2992 | 2.2079 | 2.1108 |
| 31 | 7.5298 | 5.3624 | 4.4837 | 3.9928 | 3.6745 | 3.4493 | 3.2806 | 3.1489 | 3.0428 | 2.9555 | 2.8195 | 2.6766 | 2.5249 | 2.4451 | 2.3619 | 2.2749 | 2.1832 | 2.0855 |
| 32 | 7.4993 | 5.3363 | 4.4594 | 3.9695 | 3.6517 | 3.4269 | 3.2583 | 3.1267 | 3.0208 | 2.9335 | 2.7976 | 2.6546 | 2.5029 | 2.4229 | 2.3395 | 2.2523 | 2.1601 | 2.0619 |
| 33 | 7.4708 | 5.3120 | 4.4368 | 3.9477 | 3.6305 | 3.4059 | 3.2376 | 3.1061 | 3.0003 | 2.9130 | 2.7771 | 2.6341 | 2.4822 | 2.4021 | 2.3186 | 2.2311 | 2.1386 | 2.0398 |
| 34 | 7.4441 | 5.2893 | 4.4156 | 3.9273 | 3.6106 | 3.3863 | 3.2182 | 3.0868 | 2.9810 | 2.8938 | 2.7580 | 2.6150 | 2.4629 | 2.3827 | 2.2990 | 2.2112 | 2.1184 | 2.0191 |
| 35 | 7.4191 | 5.2679 | 4.3957 | 3.9082 | 3.5919 | 3.3679 | 3.2000 | 3.0687 | 2.9630 | 2.8758 | 2.7400 | 2.5970 | 2.4448 | 2.3645 | 2.2806 | 2.1926 | 2.0994 | 1.9996 |
| 36 | 7.3956 | 5.2479 | 4.3771 | 3.8903 | 3.5744 | 3.3507 | 3.1829 | 3.0517 | 2.9461 | 2.8589 | 2.7232 | 2.5801 | 2.4278 | 2.3473 | 2.2633 | 2.1751 | 2.0815 | 1.9812 |
| 37 | 7.3734 | 5.2290 | 4.3595 | 3.8734 | 3.5579 | 3.3344 | 3.1668 | 3.0357 | 2.9302 | 2.8431 | 2.7073 | 2.5642 | 2.4118 | 2.3312 | 2.2470 | 2.1585 | 2.0647 | 1.9639 |
| 38 | 7.3525 | 5.2112 | 4.3430 | 3.8575 | 3.5424 | 3.3191 | 3.1516 | 3.0207 | 2.9151 | 2.8281 | 2.6923 | 2.5492 | 2.3967 | 2.3160 | 2.2317 | 2.1430 | 2.0488 | 1.9475 |
| 39 | 7.3328 | 5.1944 | 4.3274 | 3.8425 | 3.5277 | 3.3047 | 3.1373 | 3.0064 | 2.9010 | 2.8139 | 2.6782 | 2.5350 | 2.3824 | 2.3016 | 2.2171 | 2.1282 | 2.0337 | 1.9319 |
| 40 | 7.3141 | 5.1785 | 4.3126 | 3.8283 | 3.5138 | 3.2910 | 3.1238 | 2.9930 | 2.8876 | 2.8005 | 2.6648 | 2.5216 | 2.3689 | 2.2880 | 2.2034 | 2.1142 | 2.0194 | 1.9172 |
| 41 | 7.2964 | 5.1634 | 4.2986 | 3.8148 | 3.5007 | 3.2781 | 3.1109 | 2.9802 | 2.8749 | 2.7879 | 2.6522 | 2.5089 | 2.3561 | 2.2751 | 2.1903 | 2.1010 | 2.0059 | 1.9032 |
| 42 | 7.2796 | 5.1491 | 4.2853 | 3.8021 | 3.4882 | 3.2658 | 3.0988 | 2.9681 | 2.8628 | 2.7758 | 2.6402 | 2.4969 | 2.3439 | 2.2629 | 2.1780 | 2.0884 | 1.9930 | 1.8898 |
| 43 | 7.2636 | 5.1356 | 4.2726 | 3.7899 | 3.4764 | 3.2541 | 3.0872 | 2.9567 | 2.8514 | 2.7644 | 2.6287 | 2.4854 | 2.3324 | 2.2512 | 2.1662 | 2.0764 | 1.9807 | 1.8771 |
| 44 | 7.2484 | 5.1226 | 4.2606 | 3.7784 | 3.4651 | 3.2430 | 3.0762 | 2.9457 | 2.8405 | 2.7536 | 2.6179 | 2.4746 | 2.3214 | 2.2401 | 2.1550 | 2.0650 | 1.9690 | 1.8650 |
| 45 | 7.2339 | 5.1103 | 4.2492 | 3.7674 | 3.4544 | 3.2325 | 3.0658 | 2.9353 | 2.8301 | 2.7432 | 2.6076 | 2.4642 | 2.3109 | 2.2296 | 2.1443 | 2.0542 | 1.9579 | 1.8535 |
| 46 | 7.2200 | 5.0986 | 4.2383 | 3.7570 | 3.4442 | 3.2224 | 3.0558 | 2.9254 | 2.8203 | 2.7334 | 2.5977 | 2.4543 | 2.3009 | 2.2195 | 2.1341 | 2.0438 | 1.9472 | 1.8424 |
| 47 | 7.2068 | 5.0874 | 4.2279 | 3.7470 | 3.4344 | 3.2128 | 3.0463 | 2.9160 | 2.8108 | 2.7240 | 2.5883 | 2.4449 | 2.2914 | 2.2099 | 2.1244 | 2.0339 | 1.9371 | 1.8318 |
| 48 | 7.1942 | 5.0767 | 4.2180 | 3.7374 | 3.4251 | 3.2036 | 3.0372 | 2.9069 | 2.8018 | 2.7150 | 2.5793 | 2.4358 | 2.2823 | 2.2007 | 2.1150 | 2.0244 | 1.9273 | 1.8217 |
| 49 | 7.1821 | 5.0664 | 4.2084 | 3.7283 | 3.4162 | 3.1948 | 3.0285 | 2.8983 | 2.7932 | 2.7064 | 2.5707 | 2.4272 | 2.2736 | 2.1919 | 2.1061 | 2.0153 | 1.9180 | 1.8119 |
| 50 | 7.1706 | 5.0566 | 4.1993 | 3.7195 | 3.4077 | 3.1864 | 3.0202 | 2.8900 | 2.7850 | 2.6981 | 2.5625 | 2.4190 | 2.2652 | 2.1835 | 2.0976 | 2.0066 | 1.9090 | 1.8026 |
| 51 | 7.1595 | 5.0472 | 4.1906 | 3.7112 | 3.3995 | 3.1784 | 3.0122 | 2.8821 | 2.7771 | 2.6903 | 2.5546 | 2.4110 | 2.2572 | 2.1754 | 2.0894 | 1.9982 | 1.9004 | 1.7936 |
| 52 | 7.1489 | 5.0382 | 4.1823 | 3.7031 | 3.3917 | 3.1707 | 3.0045 | 2.8745 | 2.7695 | 2.6827 | 2.5470 | 2.4035 | 2.2496 | 2.1677 | 2.0815 | 1.9902 | 1.8922 | 1.7850 |
| 53 | 7.1386 | 5.0295 | 4.1742 | 3.6954 | 3.3841 | 3.1632 | 2.9972 | 2.8672 | 2.7622 | 2.6754 | 2.5398 | 2.3962 | 2.2422 | 2.1602 | 2.0740 | 1.9825 | 1.8843 | 1.7767 |
| 54 | 7.1288 | 5.0212 | 4.1665 | 3.6880 | 3.3769 | 3.1561 | 2.9901 | 2.8602 | 2.7552 | 2.6685 | 2.5328 | 2.3892 | 2.2351 | 2.1531 | 2.0667 | 1.9751 | 1.8766 | 1.7687 |
| 55 | 7.1194 | 5.0132 | 4.1591 | 3.6809 | 3.3700 | 3.1493 | 2.9834 | 2.8534 | 2.7485 | 2.6617 | 2.5261 | 2.3824 | 2.2283 | 2.1462 | 2.0598 | 1.9680 | 1.8693 | 1.7610 |
| 56 | 7.1103 | 5.0055 | 4.1519 | 3.6740 | 3.3633 | 3.1427 | 2.9768 | 2.8469 | 2.7420 | 2.6553 | 2.5197 | 2.3759 | 2.2217 | 2.1396 | 2.0530 | 1.9611 | 1.8622 | 1.7536 |
| 57 | 7.1015 | 4.9981 | 4.1451 | 3.6674 | 3.3568 | 3.1364 | 2.9706 | 2.8407 | 2.7358 | 2.6491 | 2.5134 | 2.3697 | 2.2154 | 2.1332 | 2.0466 | 1.9545 | 1.8554 | 1.7464 |
| 58 | 7.0931 | 4.9910 | 4.1384 | 3.6611 | 3.3506 | 3.1302 | 2.9645 | 2.8347 | 2.7298 | 2.6431 | 2.5075 | 2.3637 | 2.2093 | 2.1270 | 2.0403 | 1.9481 | 1.8488 | 1.7395 |
| 59 | 7.0850 | 4.9841 | 4.1321 | 3.6550 | 3.3447 | 3.1244 | 2.9587 | 2.8289 | 2.7240 | 2.6373 | 2.5017 | 2.3579 | 2.2035 | 2.1211 | 2.0343 | 1.9420 | 1.8424 | 1.7328 |
| 60 | 7.0771 | 4.9774 | 4.1259 | 3.6490 | 3.3389 | 3.1187 | 2.9530 | 2.8233 | 2.7185 | 2.6318 | 2.4961 | 2.3523 | 2.1978 | 2.1154 | 2.0285 | 1.9360 | 1.8363 | 1.7263 |
| 61 | 7.0695 | 4.9710 | 4.1199 | 3.6433 | 3.3333 | 3.1132 | 2.9476 | 2.8179 | 2.7131 | 2.6264 | 2.4907 | 2.3469 | 2.1923 | 2.1098 | 2.0229 | 1.9303 | 1.8303 | 1.7201 |
| 62 | 7.0622 | 4.9648 | 4.1142 | 3.6378 | 3.3279 | 3.1079 | 2.9424 | 2.8127 | 2.7079 | 2.6212 | 2.4855 | 2.3417 | 2.1870 | 2.1045 | 2.0174 | 1.9247 | 1.8246 | 1.7140 |
| 63 | 7.0551 | 4.9588 | 4.1086 | 3.6325 | 3.3227 | 3.1028 | 2.9373 | 2.8076 | 2.7028 | 2.6162 | 2.4805 | 2.3366 | 2.1819 | 2.0993 | 2.0122 | 1.9193 | 1.8190 | 1.7081 |
| 64 | 7.0483 | 4.9530 | 4.1033 | 3.6273 | 3.3177 | 3.0978 | 2.9324 | 2.8027 | 2.6980 | 2.6113 | 2.4757 | 2.3317 | 2.1770 | 2.0943 | 2.0071 | 1.9141 | 1.8136 | 1.7024 |
| 65 | 7.0416 | 4.9474 | 4.0981 | 3.6223 | 3.3128 | 3.0930 | 2.9276 | 2.7980 | 2.6933 | 2.6066 | 2.4710 | 2.3270 | 2.1722 | 2.0895 | 2.0022 | 1.9091 | 1.8084 | 1.6969 |
| 66 | 7.0352 | 4.9420 | 4.0930 | 3.6175 | 3.3081 | 3.0884 | 2.9230 | 2.7934 | 2.6887 | 2.6021 | 2.4664 | 2.3224 | 2.1676 | 2.0848 | 1.9974 | 1.9042 | 1.8033 | 1.6916 |
| 67 | 7.0290 | 4.9367 | 4.0882 | 3.6128 | 3.3036 | 3.0839 | 2.9186 | 2.7890 | 2.6843 | 2.5977 | 2.4620 | 2.3180 | 2.1631 | 2.0802 | 1.9928 | 1.8995 | 1.7984 | 1.6864 |
| 68 | 7.0229 | 4.9316 | 4.0834 | 3.6083 | 3.2991 | 3.0795 | 2.9143 | 2.7847 | 2.6800 | 2.5934 | 2.4577 | 2.3137 | 2.1587 | 2.0758 | 1.9883 | 1.8949 | 1.7937 | 1.6813 |
| 69 | 7.0171 | 4.9267 | 4.0788 | 3.6039 | 3.2948 | 3.0753 | 2.9101 | 2.7806 | 2.6759 | 2.5892 | 2.4536 | 2.3096 | 2.1545 | 2.0716 | 1.9840 | 1.8904 | 1.7890 | 1.6764 |
| 70 | 7.0114 | 4.9219 | 4.0744 | 3.5996 | 3.2907 | 3.0712 | 2.9060 | 2.7765 | 2.6719 | 2.5852 | 2.4496 | 2.3055 | 2.1504 | 2.0674 | 1.9797 | 1.8861 | 1.7846 | 1.6717 |
| 71 | 7.0059 | 4.9172 | 4.0701 | 3.5955 | 3.2867 | 3.0672 | 2.9021 | 2.7726 | 2.6680 | 2.5813 | 2.4457 | 2.3016 | 2.1464 | 2.0634 | 1.9757 | 1.8819 | 1.7802 | 1.6670 |
| 72 | 7.0005 | 4.9127 | 4.0659 | 3.5915 | 3.2827 | 3.0634 | 2.8983 | 2.7688 | 2.6642 | 2.5775 | 2.4419 | 2.2978 | 2.1426 | 2.0595 | 1.9717 | 1.8778 | 1.7760 | 1.6625 |
| 73 | 6.9953 | 4.9083 | 4.0618 | 3.5876 | 3.2789 | 3.0596 | 2.8946 | 2.7651 | 2.6605 | 2.5739 | 2.4382 | 2.2941 | 2.1388 | 2.0557 | 1.9678 | 1.8739 | 1.7718 | 1.6581 |
| 74 | 6.9903 | 4.9040 | 4.0579 | 3.5838 | 3.2752 | 3.0560 | 2.8909 | 2.7615 | 2.6569 | 2.5703 | 2.4346 | 2.2905 | 2.1352 | 2.0520 | 1.9641 | 1.8700 | 1.7678 | 1.6539 |
| 75 | 6.9854 | 4.8999 | 4.0540 | 3.5801 | 3.2716 | 3.0524 | 2.8874 | 2.7580 | 2.6534 | 2.5668 | 2.4312 | 2.2870 | 2.1316 | 2.0484 | 1.9604 | 1.8663 | 1.7639 | 1.6497 |
| 76 | 6.9806 | 4.8958 | 4.0503 | 3.5765 | 3.2681 | 3.0490 | 2.8840 | 2.7547 | 2.6500 | 2.5634 | 2.4278 | 2.2836 | 2.1282 | 2.0449 | 1.9568 | 1.8626 | 1.7601 | 1.6457 |
| 77 | 6.9759 | 4.8919 | 4.0466 | 3.5730 | 3.2647 | 3.0456 | 2.8807 | 2.7514 | 2.6468 | 2.5602 | 2.4245 | 2.2803 | 2.1248 | 2.0415 | 1.9534 | 1.8591 | 1.7564 | 1.6417 |
| 78 | 6.9714 | 4.8881 | 4.0431 | 3.5696 | 3.2614 | 3.0424 | 2.8775 | 2.7481 | 2.6436 | 2.5570 | 2.4213 | 2.2771 | 2.1216 | 2.0382 | 1.9500 | 1.8556 | 1.7528 | 1.6379 |
| 79 | 6.9670 | 4.8844 | 4.0397 | 3.5663 | 3.2582 | 3.0392 | 2.8743 | 2.7450 | 2.6404 | 2.5538 | 2.4182 | 2.2739 | 2.1184 | 2.0350 | 1.9467 | 1.8522 | 1.7493 | 1.6341 |
| 80 | 6.9627 | 4.8807 | 4.0363 | 3.5631 | 3.2550 | 3.0361 | 2.8713 | 2.7420 | 2.6374 | 2.5508 | 2.4151 | 2.2709 | 2.1153 | 2.0318 | 1.9435 | 1.8489 | 1.7459 | 1.6305 |
| 81 | 6.9585 | 4.8772 | 4.0330 | 3.5600 | 3.2520 | 3.0331 | 2.8683 | 2.7390 | 2.6344 | 2.5479 | 2.4122 | 2.2679 | 2.1123 | 2.0288 | 1.9404 | 1.8457 | 1.7425 | 1.6269 |
| 82 | 6.9544 | 4.8738 | 4.0298 | 3.5569 | 3.2490 | 3.0302 | 2.8654 | 2.7361 | 2.6316 | 2.5450 | 2.4093 | 2.2650 | 2.1093 | 2.0258 | 1.9374 | 1.8426 | 1.7393 | 1.6234 |
| 83 | 6.9504 | 4.8704 | 4.0267 | 3.5539 | 3.2461 | 3.0273 | 2.8625 | 2.7333 | 2.6287 | 2.5422 | 2.4065 | 2.2622 | 2.1064 | 2.0229 | 1.9344 | 1.8396 | 1.7361 | 1.6200 |
| 84 | 6.9466 | 4.8671 | 4.0237 | 3.5510 | 3.2433 | 3.0245 | 2.8598 | 2.7305 | 2.6260 | 2.5394 | 2.4037 | 2.2594 | 2.1036 | 2.0201 | 1.9315 | 1.8366 | 1.7330 | 1.6167 |
| 85 | 6.9428 | 4.8639 | 4.0207 | 3.5482 | 3.2405 | 3.0218 | 2.8571 | 2.7279 | 2.6233 | 2.5368 | 2.4011 | 2.2567 | 2.1009 | 2.0173 | 1.9287 | 1.8337 | 1.7300 | 1.6134 |
| 86 | 6.9391 | 4.8608 | 4.0179 | 3.5454 | 3.2378 | 3.0191 | 2.8544 | 2.7252 | 2.6207 | 2.5342 | 2.3985 | 2.2541 | 2.0982 | 2.0146 | 1.9259 | 1.8308 | 1.7270 | 1.6102 |
| 87 | 6.9355 | 4.8578 | 4.0150 | 3.5427 | 3.2352 | 3.0165 | 2.8519 | 2.7227 | 2.6182 | 2.5316 | 2.3959 | 2.2515 | 2.0956 | 2.0119 | 1.9232 | 1.8281 | 1.7241 | 1.6071 |
| 88 | 6.9319 | 4.8548 | 4.0123 | 3.5401 | 3.2326 | 3.0140 | 2.8494 | 2.7202 | 2.6157 | 2.5291 | 2.3934 | 2.2490 | 2.0931 | 2.0094 | 1.9206 | 1.8254 | 1.7213 | 1.6041 |
| 89 | 6.9285 | 4.8519 | 4.0096 | 3.5375 | 3.2301 | 3.0115 | 2.8469 | 2.7177 | 2.6133 | 2.5267 | 2.3910 | 2.2466 | 2.0906 | 2.0069 | 1.9180 | 1.8227 | 1.7185 | 1.6011 |
| 90 | 6.9251 | 4.8491 | 4.0070 | 3.5350 | 3.2276 | 3.0091 | 2.8445 | 2.7154 | 2.6109 | 2.5243 | 2.3886 | 2.2442 | 2.0882 | 2.0044 | 1.9155 | 1.8201 | 1.7158 | 1.5982 |
| 91 | 6.9218 | 4.8463 | 4.0044 | 3.5325 | 3.2252 | 3.0067 | 2.8422 | 2.7130 | 2.6086 | 2.5220 | 2.3863 | 2.2419 | 2.0858 | 2.0020 | 1.9131 | 1.8176 | 1.7132 | 1.5954 |
| 92 | 6.9186 | 4.8436 | 4.0019 | 3.5301 | 3.2229 | 3.0044 | 2.8399 | 2.7108 | 2.6063 | 2.5197 | 2.3840 | 2.2396 | 2.0835 | 1.9996 | 1.9107 | 1.8151 | 1.7106 | 1.5926 |
| 93 | 6.9155 | 4.8409 | 3.9994 | 3.5278 | 3.2206 | 3.0022 | 2.8377 | 2.7085 | 2.6041 | 2.5175 | 2.3818 | 2.2373 | 2.0812 | 1.9973 | 1.9083 | 1.8127 | 1.7081 | 1.5899 |
| 94 | 6.9124 | 4.8383 | 3.9970 | 3.5255 | 3.2183 | 3.0000 | 2.8355 | 2.7064 | 2.6019 | 2.5154 | 2.3797 | 2.2352 | 2.0790 | 1.9951 | 1.9060 | 1.8104 | 1.7056 | 1.5872 |
| 95 | 6.9094 | 4.8358 | 3.9947 | 3.5232 | 3.2162 | 2.9978 | 2.8333 | 2.7042 | 2.5998 | 2.5132 | 2.3775 | 2.2330 | 2.0768 | 1.9929 | 1.9038 | 1.8080 | 1.7032 | 1.5846 |
| 96 | 6.9065 | 4.8333 | 3.9924 | 3.5210 | 3.2140 | 2.9957 | 2.8312 | 2.7022 | 2.5977 | 2.5112 | 2.3755 | 2.2309 | 2.0747 | 1.9907 | 1.9016 | 1.8058 | 1.7008 | 1.5820 |
| 97 | 6.9036 | 4.8309 | 3.9902 | 3.5189 | 3.2119 | 2.9936 | 2.8292 | 2.7001 | 2.5957 | 2.5091 | 2.3734 | 2.2289 | 2.0726 | 1.9886 | 1.8994 | 1.8036 | 1.6985 | 1.5795 |
| 98 | 6.9008 | 4.8285 | 3.9880 | 3.5168 | 3.2099 | 2.9916 | 2.8272 | 2.6981 | 2.5937 | 2.5072 | 2.3714 | 2.2269 | 2.0706 | 1.9866 | 1.8973 | 1.8014 | 1.6962 | 1.5770 |
| 99 | 6.8980 | 4.8262 | 3.9858 | 3.5147 | 3.2078 | 2.9896 | 2.8252 | 2.6962 | 2.5917 | 2.5052 | 2.3695 | 2.2249 | 2.0686 | 1.9845 | 1.8953 | 1.7993 | 1.6940 | 1.5746 |
| 100 | 6.8953 | 4.8239 | 3.9837 | 3.5127 | 3.2059 | 2.9877 | 2.8233 | 2.6943 | 2.5898 | 2.5033 | 2.3676 | 2.2230 | 2.0666 | 1.9826 | 1.8933 | 1.7972 | 1.6918 | 1.5723 |
| 101 | 6.8927 | 4.8217 | 3.9816 | 3.5107 | 3.2039 | 2.9858 | 2.8214 | 2.6924 | 2.5880 | 2.5014 | 2.3657 | 2.2211 | 2.0647 | 1.9806 | 1.8913 | 1.7951 | 1.6896 | 1.5699 |
| 102 | 6.8901 | 4.8195 | 3.9796 | 3.5088 | 3.2020 | 2.9839 | 2.8196 | 2.6906 | 2.5861 | 2.4996 | 2.3639 | 2.2193 | 2.0629 | 1.9787 | 1.8893 | 1.7931 | 1.6875 | 1.5677 |
| 103 | 6.8875 | 4.8173 | 3.9776 | 3.5069 | 3.2002 | 2.9821 | 2.8178 | 2.6888 | 2.5844 | 2.4978 | 2.3621 | 2.2175 | 2.0610 | 1.9769 | 1.8874 | 1.7912 | 1.6855 | 1.5654 |
| 104 | 6.8850 | 4.8152 | 3.9757 | 3.5050 | 3.1984 | 2.9803 | 2.8160 | 2.6870 | 2.5826 | 2.4961 | 2.3603 | 2.2157 | 2.0592 | 1.9750 | 1.8856 | 1.7892 | 1.6835 | 1.5632 |
| 105 | 6.8826 | 4.8132 | 3.9738 | 3.5032 | 3.1966 | 2.9786 | 2.8143 | 2.6853 | 2.5809 | 2.4944 | 2.3586 | 2.2140 | 2.0575 | 1.9732 | 1.8837 | 1.7874 | 1.6815 | 1.5611 |
| 106 | 6.8802 | 4.8112 | 3.9719 | 3.5014 | 3.1949 | 2.9768 | 2.8125 | 2.6836 | 2.5792 | 2.4927 | 2.3569 | 2.2123 | 2.0557 | 1.9715 | 1.8819 | 1.7855 | 1.6795 | 1.5590 |
| 107 | 6.8778 | 4.8092 | 3.9701 | 3.4996 | 3.1931 | 2.9751 | 2.8109 | 2.6819 | 2.5775 | 2.4910 | 2.3553 | 2.2106 | 2.0540 | 1.9698 | 1.8802 | 1.7837 | 1.6776 | 1.5569 |
| 108 | 6.8755 | 4.8072 | 3.9683 | 3.4979 | 3.1915 | 2.9735 | 2.8092 | 2.6803 | 2.5759 | 2.4894 | 2.3536 | 2.2090 | 2.0524 | 1.9681 | 1.8785 | 1.7819 | 1.6757 | 1.5549 |
| 109 | 6.8732 | 4.8053 | 3.9665 | 3.4962 | 3.1898 | 2.9719 | 2.8076 | 2.6787 | 2.5743 | 2.4878 | 2.3520 | 2.2074 | 2.0507 | 1.9664 | 1.8768 | 1.7802 | 1.6739 | 1.5529 |
| 110 | 6.8710 | 4.8035 | 3.9648 | 3.4946 | 3.1882 | 2.9703 | 2.8061 | 2.6771 | 2.5727 | 2.4862 | 2.3505 | 2.2058 | 2.0491 | 1.9648 | 1.8751 | 1.7784 | 1.6721 | 1.5509 |
| 111 | 6.8688 | 4.8016 | 3.9631 | 3.4929 | 3.1866 | 2.9687 | 2.8045 | 2.6756 | 2.5712 | 2.4847 | 2.3489 | 2.2042 | 2.0476 | 1.9632 | 1.8735 | 1.7768 | 1.6703 | 1.5490 |
| 112 | 6.8667 | 4.7998 | 3.9614 | 3.4913 | 3.1850 | 2.9672 | 2.8030 | 2.6741 | 2.5697 | 2.4832 | 2.3474 | 2.2027 | 2.0460 | 1.9616 | 1.8719 | 1.7751 | 1.6686 | 1.5471 |
| 113 | 6.8646 | 4.7981 | 3.9598 | 3.4898 | 3.1835 | 2.9657 | 2.8015 | 2.6726 | 2.5682 | 2.4817 | 2.3460 | 2.2012 | 2.0445 | 1.9601 | 1.8703 | 1.7735 | 1.6669 | 1.5452 |
| 114 | 6.8625 | 4.7963 | 3.9582 | 3.4882 | 3.1820 | 2.9642 | 2.8000 | 2.6711 | 2.5668 | 2.4803 | 2.3445 | 2.1998 | 2.0430 | 1.9586 | 1.8687 | 1.7719 | 1.6652 | 1.5434 |
| 115 | 6.8605 | 4.7946 | 3.9566 | 3.4867 | 3.1805 | 2.9627 | 2.7986 | 2.6697 | 2.5653 | 2.4788 | 2.3431 | 2.1983 | 2.0415 | 1.9571 | 1.8672 | 1.7703 | 1.6635 | 1.5416 |
| 116 | 6.8585 | 4.7929 | 3.9550 | 3.4852 | 3.1791 | 2.9613 | 2.7972 | 2.6683 | 2.5639 | 2.4774 | 2.3417 | 2.1969 | 2.0401 | 1.9556 | 1.8657 | 1.7688 | 1.6619 | 1.5398 |
| 117 | 6.8566 | 4.7913 | 3.9535 | 3.4838 | 3.1777 | 2.9599 | 2.7958 | 2.6669 | 2.5626 | 2.4761 | 2.3403 | 2.1955 | 2.0387 | 1.9542 | 1.8643 | 1.7672 | 1.6603 | 1.5381 |
| 118 | 6.8546 | 4.7897 | 3.9520 | 3.4823 | 3.1763 | 2.9585 | 2.7944 | 2.6655 | 2.5612 | 2.4747 | 2.3389 | 2.1942 | 2.0373 | 1.9528 | 1.8628 | 1.7658 | 1.6588 | 1.5363 |
| 119 | 6.8528 | 4.7881 | 3.9505 | 3.4809 | 3.1749 | 2.9572 | 2.7931 | 2.6642 | 2.5599 | 2.4734 | 2.3376 | 2.1928 | 2.0359 | 1.9514 | 1.8614 | 1.7643 | 1.6572 | 1.5347 |
| 120 | 6.8509 | 4.7865 | 3.9491 | 3.4795 | 3.1735 | 2.9559 | 2.7918 | 2.6629 | 2.5586 | 2.4721 | 2.3363 | 2.1915 | 2.0346 | 1.9500 | 1.8600 | 1.7628 | 1.6557 | 1.5330 |