Table 12: F Quantiles (Percentiles)
The p-th quantiles (100p-th percentiles) of the F distribution are tabulated for p = 0.90, 0.95, 0.975, 0.99, 0.999 with numerator degrees of freedom, m, and denominator degrees of freedom, n, in the range 1, 2, ...,50.
Example: The 0.99-th quantile (99-th percentile) of the F distribution with m = 5 and n = 10 is 5.6363.
| 0.99-th Quantiles (99-th Percentiles) | ||||||||||
| Part I: m = 1 to 10, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 4052.18 | 4999.50 | 5403.35 | 5624.58 | 5763.65 | 5858.99 | 5928.36 | 5981.07 | 6022.47 | 6055.85 |
| 2 | 98.5025 | 99.0000 | 99.1662 | 99.2494 | 99.2993 | 99.3326 | 99.3564 | 99.3742 | 99.3881 | 99.3992 |
| 3 | 34.1162 | 30.8165 | 29.4567 | 28.7099 | 28.2371 | 27.9107 | 27.6717 | 27.4892 | 27.3452 | 27.2287 |
| 4 | 21.1977 | 18.0000 | 16.6944 | 15.9770 | 15.5219 | 15.2069 | 14.9758 | 14.7989 | 14.6591 | 14.5459 |
| 5 | 16.2582 | 13.2739 | 12.0600 | 11.3919 | 10.9670 | 10.6723 | 10.4555 | 10.2893 | 10.1578 | 10.0510 |
| 6 | 13.7450 | 10.9248 | 9.7795 | 9.1483 | 8.7459 | 8.4661 | 8.2600 | 8.1017 | 7.9761 | 7.8741 |
| 7 | 12.2464 | 9.5466 | 8.4513 | 7.8467 | 7.4604 | 7.1914 | 6.9928 | 6.8401 | 6.7188 | 6.6201 |
| 8 | 11.2586 | 8.6491 | 7.5910 | 7.0061 | 6.6318 | 6.3707 | 6.1776 | 6.0289 | 5.9106 | 5.8143 |
| 9 | 10.5614 | 8.0215 | 6.9919 | 6.4221 | 6.0569 | 5.8018 | 5.6129 | 5.4671 | 5.3511 | 5.2565 |
| 10 | 10.0443 | 7.5594 | 6.5523 | 5.9943 | 5.6363 | 5.3858 | 5.2001 | 5.0567 | 4.9424 | 4.8492 |
| 11 | 9.64603 | 7.20571 | 6.21673 | 5.66830 | 5.31601 | 5.06921 | 4.88607 | 4.74447 | 4.63154 | 4.53928 |
| 12 | 9.33021 | 6.92661 | 5.95254 | 5.41195 | 5.06434 | 4.82057 | 4.63950 | 4.49937 | 4.38751 | 4.29605 |
| 13 | 9.07381 | 6.70096 | 5.73938 | 5.20533 | 4.86162 | 4.62036 | 4.44100 | 4.30206 | 4.19108 | 4.10027 |
| 14 | 8.86159 | 6.51488 | 5.56389 | 5.03538 | 4.69496 | 4.45582 | 4.27788 | 4.13995 | 4.02968 | 3.93940 |
| 15 | 8.68312 | 6.35887 | 5.41696 | 4.89321 | 4.55561 | 4.31827 | 4.14155 | 4.00445 | 3.89479 | 3.80494 |
| 16 | 8.53097 | 6.22624 | 5.29221 | 4.77258 | 4.43742 | 4.20163 | 4.02595 | 3.88957 | 3.78042 | 3.69093 |
| 17 | 8.39974 | 6.11211 | 5.18500 | 4.66897 | 4.33594 | 4.10151 | 3.92672 | 3.79096 | 3.68224 | 3.59307 |
| 18 | 8.28542 | 6.01290 | 5.09189 | 4.57904 | 4.24788 | 4.01464 | 3.84064 | 3.70542 | 3.59707 | 3.50816 |
| 19 | 8.18495 | 5.92588 | 5.01029 | 4.50026 | 4.17077 | 3.93857 | 3.76527 | 3.63052 | 3.52250 | 3.43382 |
| 20 | 8.09596 | 5.84893 | 4.93819 | 4.43069 | 4.10268 | 3.87143 | 3.69874 | 3.56441 | 3.45668 | 3.36819 |
| 21 | 8.01660 | 5.78042 | 4.87405 | 4.36882 | 4.04214 | 3.81173 | 3.63959 | 3.50563 | 3.39815 | 3.30983 |
| 22 | 7.94539 | 5.71902 | 4.81661 | 4.31343 | 3.98796 | 3.75830 | 3.58666 | 3.45303 | 3.34577 | 3.25761 |
| 23 | 7.88113 | 5.66370 | 4.76488 | 4.26357 | 3.93919 | 3.71022 | 3.53902 | 3.40569 | 3.29863 | 3.21060 |
| 24 | 7.82287 | 5.61359 | 4.71805 | 4.21845 | 3.89507 | 3.66672 | 3.49593 | 3.36287 | 3.25599 | 3.16807 |
| 25 | 7.76980 | 5.56800 | 4.67546 | 4.17742 | 3.85496 | 3.62717 | 3.45675 | 3.32394 | 3.21722 | 3.12941 |
| 26 | 7.72125 | 5.52633 | 4.63657 | 4.13996 | 3.81834 | 3.59108 | 3.42099 | 3.28840 | 3.18182 | 3.09411 |
| 27 | 7.67668 | 5.48812 | 4.60091 | 4.10562 | 3.78477 | 3.55799 | 3.38822 | 3.25583 | 3.14939 | 3.06175 |
| 28 | 7.63562 | 5.45294 | 4.56809 | 4.07403 | 3.75389 | 3.52756 | 3.35807 | 3.22587 | 3.11955 | 3.03199 |
| 29 | 7.59766 | 5.42045 | 4.53779 | 4.04487 | 3.72540 | 3.49947 | 3.33025 | 3.19822 | 3.09201 | 3.00452 |
| 30 | 7.56248 | 5.39035 | 4.50974 | 4.01788 | 3.69902 | 3.47348 | 3.30450 | 3.17262 | 3.06652 | 2.97909 |
| 31 | 7.52977 | 5.36239 | 4.48369 | 3.99281 | 3.67453 | 3.44934 | 3.28059 | 3.14886 | 3.04285 | 2.95548 |
| 32 | 7.49928 | 5.33634 | 4.45943 | 3.96948 | 3.65173 | 3.42688 | 3.25834 | 3.12675 | 3.02082 | 2.93351 |
| 33 | 7.47080 | 5.31203 | 4.43679 | 3.94770 | 3.63046 | 3.40591 | 3.23757 | 3.10611 | 3.00026 | 2.91300 |
| 34 | 7.44414 | 5.28928 | 4.41561 | 3.92733 | 3.61056 | 3.38631 | 3.21815 | 3.08681 | 2.98103 | 2.89381 |
| 35 | 7.41912 | 5.26794 | 4.39575 | 3.90824 | 3.59191 | 3.36793 | 3.19995 | 3.06872 | 2.96301 | 2.87583 |
| 36 | 7.39560 | 5.24789 | 4.37710 | 3.89031 | 3.57440 | 3.35068 | 3.18286 | 3.05173 | 2.94609 | 2.85895 |
| 37 | 7.37344 | 5.22902 | 4.35954 | 3.87343 | 3.55792 | 3.33444 | 3.16677 | 3.03574 | 2.93016 | 2.84305 |
| 38 | 7.35254 | 5.21122 | 4.34299 | 3.85752 | 3.54238 | 3.31913 | 3.15161 | 3.02067 | 2.91515 | 2.82807 |
| 39 | 7.33279 | 5.19441 | 4.32736 | 3.84250 | 3.52771 | 3.30468 | 3.13730 | 3.00644 | 2.90097 | 2.81392 |
| 40 | 7.31410 | 5.17851 | 4.31257 | 3.82829 | 3.51384 | 3.29101 | 3.12376 | 2.99298 | 2.88756 | 2.80055 |
| 41 | 7.29638 | 5.16344 | 4.29856 | 3.81484 | 3.50070 | 3.27807 | 3.11093 | 2.98023 | 2.87486 | 2.78787 |
| 42 | 7.27956 | 5.14914 | 4.28527 | 3.80207 | 3.48823 | 3.26579 | 3.09877 | 2.96814 | 2.86281 | 2.77585 |
| 43 | 7.26358 | 5.13555 | 4.27265 | 3.78994 | 3.47640 | 3.25412 | 3.08722 | 2.95666 | 2.85137 | 2.76443 |
| 44 | 7.24836 | 5.12263 | 4.26064 | 3.77841 | 3.46514 | 3.24303 | 3.07623 | 2.94574 | 2.84049 | 2.75357 |
| 45 | 7.23387 | 5.11032 | 4.24921 | 3.76743 | 3.45442 | 3.23247 | 3.06577 | 2.93534 | 2.83013 | 2.74323 |
| 46 | 7.22004 | 5.09858 | 4.23831 | 3.75696 | 3.44420 | 3.22240 | 3.05580 | 2.92543 | 2.82025 | 2.73337 |
| 47 | 7.20684 | 5.08737 | 4.22790 | 3.74696 | 3.43444 | 3.21280 | 3.04628 | 2.91597 | 2.81082 | 2.72396 |
| 48 | 7.19422 | 5.07666 | 4.21796 | 3.73742 | 3.42512 | 3.20362 | 3.03719 | 2.90693 | 2.80182 | 2.71497 |
| 49 | 7.18214 | 5.06642 | 4.20845 | 3.72829 | 3.41621 | 3.19484 | 3.02849 | 2.89828 | 2.79320 | 2.70637 |
| 50 | 7.17058 | 5.05661 | 4.19934 | 3.71955 | 3.40768 | 3.18643 | 3.02017 | 2.89001 | 2.78496 | 2.69814 |
| Part II: m = 11 to 20, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 1 | 6083.32 | 6106.32 | 6125.86 | 6142.67 | 6157.28 | 6170.10 | 6181.43 | 6191.53 | 6200.58 | 6208.73 |
| 2 | 99.4083 | 99.4159 | 99.4223 | 99.4278 | 99.4325 | 99.4367 | 99.4404 | 99.4436 | 99.4465 | 99.4492 |
| 3 | 27.1326 | 27.0518 | 26.9831 | 26.9238 | 26.8722 | 26.8269 | 26.7867 | 26.7509 | 26.7188 | 26.6898 |
| 4 | 14.4523 | 14.3736 | 14.3065 | 14.2486 | 14.1982 | 14.1539 | 14.1146 | 14.0795 | 14.0480 | 14.0196 |
| 5 | 9.96265 | 9.88828 | 9.82481 | 9.77001 | 9.72222 | 9.68016 | 9.64287 | 9.60957 | 9.57966 | 9.55265 |
| 6 | 7.78957 | 7.71833 | 7.65748 | 7.60490 | 7.55899 | 7.51857 | 7.48271 | 7.45066 | 7.42186 | 7.39583 |
| 7 | 6.53817 | 6.46909 | 6.41003 | 6.35895 | 6.31433 | 6.27501 | 6.24010 | 6.20889 | 6.18082 | 6.15544 |
| 8 | 5.73427 | 5.66672 | 5.60891 | 5.55887 | 5.51512 | 5.47655 | 5.44228 | 5.41163 | 5.38405 | 5.35909 |
| 9 | 5.17789 | 5.11143 | 5.05451 | 5.00521 | 4.96208 | 4.92402 | 4.89019 | 4.85992 | 4.83266 | 4.80800 |
| 10 | 4.77152 | 4.70587 | 4.64961 | 4.60083 | 4.55814 | 4.52045 | 4.48692 | 4.45691 | 4.42987 | 4.40539 |
| 11 | 4.46244 | 4.39740 | 4.34162 | 4.29324 | 4.25087 | 4.21344 | 4.18013 | 4.15029 | 4.12340 | 4.09905 |
| 12 | 4.21982 | 4.15526 | 4.09985 | 4.05176 | 4.00962 | 3.97237 | 3.93921 | 3.90950 | 3.88271 | 3.85843 |
| 13 | 4.02452 | 3.96033 | 3.90520 | 3.85734 | 3.81537 | 3.77825 | 3.74520 | 3.71556 | 3.68884 | 3.66461 |
| 14 | 3.86404 | 3.80014 | 3.74524 | 3.69754 | 3.65570 | 3.61868 | 3.58570 | 3.55611 | 3.52942 | 3.50522 |
| 15 | 3.72990 | 3.66624 | 3.61151 | 3.56394 | 3.52219 | 3.48525 | 3.45231 | 3.42275 | 3.39608 | 3.37189 |
| 16 | 3.61616 | 3.55269 | 3.49810 | 3.45063 | 3.40895 | 3.37205 | 3.33914 | 3.30960 | 3.28293 | 3.25874 |
| 17 | 3.51851 | 3.45520 | 3.40072 | 3.35333 | 3.31169 | 3.27482 | 3.24193 | 3.21240 | 3.18573 | 3.16152 |
| 18 | 3.43379 | 3.37061 | 3.31622 | 3.26888 | 3.22729 | 3.19043 | 3.15754 | 3.12801 | 3.10132 | 3.07710 |
| 19 | 3.35960 | 3.29653 | 3.24221 | 3.19491 | 3.15334 | 3.11650 | 3.08361 | 3.05406 | 3.02736 | 3.00311 |
| 20 | 3.29411 | 3.23112 | 3.17686 | 3.12960 | 3.08804 | 3.05120 | 3.01830 | 2.98873 | 2.96201 | 2.93774 |
| 21 | 3.23587 | 3.17295 | 3.11874 | 3.07150 | 3.02995 | 2.99311 | 2.96019 | 2.93061 | 2.90386 | 2.87956 |
| 22 | 3.18374 | 3.12089 | 3.06671 | 3.01949 | 2.97795 | 2.94109 | 2.90816 | 2.87855 | 2.85178 | 2.82745 |
| 23 | 3.13682 | 3.07402 | 3.01987 | 2.97267 | 2.93112 | 2.89425 | 2.86130 | 2.83167 | 2.80487 | 2.78050 |
| 24 | 3.09437 | 3.03161 | 2.97749 | 2.93029 | 2.88873 | 2.85185 | 2.81888 | 2.78923 | 2.76239 | 2.73800 |
| 25 | 3.05577 | 2.99306 | 2.93895 | 2.89175 | 2.85019 | 2.81329 | 2.78030 | 2.75061 | 2.72375 | 2.69932 |
| 26 | 3.02053 | 2.95785 | 2.90375 | 2.85655 | 2.81498 | 2.77807 | 2.74505 | 2.71534 | 2.68845 | 2.66399 |
| 27 | 2.98823 | 2.92557 | 2.87149 | 2.82429 | 2.78270 | 2.74577 | 2.71273 | 2.68299 | 2.65607 | 2.63158 |
| 28 | 2.95851 | 2.89588 | 2.84180 | 2.79460 | 2.75300 | 2.71605 | 2.68299 | 2.65322 | 2.62627 | 2.60174 |
| 29 | 2.93108 | 2.86847 | 2.81440 | 2.76719 | 2.72558 | 2.68860 | 2.65552 | 2.62573 | 2.59874 | 2.57419 |
| 30 | 2.90569 | 2.84310 | 2.78902 | 2.74181 | 2.70018 | 2.66319 | 2.63008 | 2.60026 | 2.57325 | 2.54866 |
| 31 | 2.88211 | 2.81953 | 2.76546 | 2.71823 | 2.67659 | 2.63958 | 2.60645 | 2.57660 | 2.54956 | 2.52494 |
| 32 | 2.86016 | 2.79759 | 2.74353 | 2.69629 | 2.65463 | 2.61760 | 2.58444 | 2.55457 | 2.52750 | 2.50285 |
| 33 | 2.83968 | 2.77712 | 2.72305 | 2.67580 | 2.63413 | 2.59708 | 2.56390 | 2.53399 | 2.50690 | 2.48222 |
| 34 | 2.82052 | 2.75797 | 2.70390 | 2.65664 | 2.61495 | 2.57788 | 2.54467 | 2.51474 | 2.48762 | 2.46292 |
| 35 | 2.80256 | 2.74002 | 2.68594 | 2.63867 | 2.59697 | 2.55987 | 2.52665 | 2.49669 | 2.46954 | 2.44481 |
| 36 | 2.78569 | 2.72315 | 2.66907 | 2.62179 | 2.58007 | 2.54296 | 2.50971 | 2.47973 | 2.45255 | 2.42779 |
| 37 | 2.76982 | 2.70728 | 2.65320 | 2.60591 | 2.56417 | 2.52704 | 2.49376 | 2.46376 | 2.43656 | 2.41177 |
| 38 | 2.75485 | 2.69232 | 2.63823 | 2.59093 | 2.54918 | 2.51202 | 2.47873 | 2.44870 | 2.42147 | 2.39666 |
| 39 | 2.74072 | 2.67819 | 2.62410 | 2.57678 | 2.53501 | 2.49784 | 2.46452 | 2.43447 | 2.40722 | 2.38239 |
| 40 | 2.72735 | 2.66483 | 2.61073 | 2.56340 | 2.52162 | 2.48442 | 2.45108 | 2.42101 | 2.39374 | 2.36888 |
| 41 | 2.71469 | 2.65217 | 2.59806 | 2.55072 | 2.50892 | 2.47171 | 2.43835 | 2.40826 | 2.38096 | 2.35607 |
| 42 | 2.70268 | 2.64016 | 2.58604 | 2.53869 | 2.49688 | 2.45965 | 2.42627 | 2.39615 | 2.36883 | 2.34392 |
| 43 | 2.69127 | 2.62875 | 2.57463 | 2.52727 | 2.48544 | 2.44819 | 2.41479 | 2.38465 | 2.35731 | 2.33238 |
| 44 | 2.68042 | 2.61790 | 2.56377 | 2.51640 | 2.47455 | 2.43729 | 2.40387 | 2.37371 | 2.34635 | 2.32139 |
| 45 | 2.67008 | 2.60756 | 2.55343 | 2.50605 | 2.46418 | 2.42690 | 2.39347 | 2.36329 | 2.33590 | 2.31093 |
| 46 | 2.66023 | 2.59771 | 2.54357 | 2.49617 | 2.45430 | 2.41700 | 2.38355 | 2.35335 | 2.32594 | 2.30094 |
| 47 | 2.65083 | 2.58830 | 2.53416 | 2.48675 | 2.44486 | 2.40755 | 2.37408 | 2.34386 | 2.31643 | 2.29141 |
| 48 | 2.64185 | 2.57932 | 2.52516 | 2.47775 | 2.43585 | 2.39852 | 2.36502 | 2.33479 | 2.30734 | 2.28230 |
| 49 | 2.63325 | 2.57072 | 2.51656 | 2.46914 | 2.42722 | 2.38987 | 2.35637 | 2.32611 | 2.29865 | 2.27359 |
| 50 | 2.62503 | 2.56250 | 2.50833 | 2.46089 | 2.41896 | 2.38160 | 2.34807 | 2.31780 | 2.29032 | 2.26524 |
| Part III: m = 21 to 30, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| 1 | 6216.12 | 6222.84 | 6228.99 | 6234.63 | 6239.83 | 6244.62 | 6249.07 | 6253.20 | 6257.05 | 6260.65 |
| 2 | 99.4516 | 99.4537 | 99.4557 | 99.4575 | 99.4592 | 99.4607 | 99.4621 | 99.4635 | 99.4647 | 99.4658 |
| 3 | 26.6635 | 26.6396 | 26.6176 | 26.5975 | 26.5790 | 26.5618 | 26.5460 | 26.5312 | 26.5174 | 26.5045 |
| 4 | 13.9938 | 13.9703 | 13.9488 | 13.9291 | 13.9109 | 13.8940 | 13.8784 | 13.8639 | 13.8503 | 13.8377 |
| 5 | 9.52812 | 9.50576 | 9.48529 | 9.46647 | 9.44912 | 9.43307 | 9.41818 | 9.40433 | 9.39141 | 9.37933 |
| 6 | 7.37219 | 7.35063 | 7.33088 | 7.31272 | 7.29597 | 7.28047 | 7.26609 | 7.25270 | 7.24021 | 7.22853 |
| 7 | 6.13238 | 6.11134 | 6.09205 | 6.07432 | 6.05795 | 6.04281 | 6.02874 | 6.01565 | 6.00344 | 5.99201 |
| 8 | 5.33641 | 5.31571 | 5.29673 | 5.27926 | 5.26314 | 5.24822 | 5.23436 | 5.22145 | 5.20940 | 5.19813 |
| 9 | 4.78556 | 4.76508 | 4.74629 | 4.72900 | 4.71303 | 4.69824 | 4.68450 | 4.67171 | 4.65976 | 4.64858 |
| 10 | 4.38313 | 4.36278 | 4.34411 | 4.32693 | 4.31106 | 4.29635 | 4.28268 | 4.26995 | 4.25806 | 4.24693 |
| 11 | 4.07688 | 4.05662 | 4.03803 | 4.02091 | 4.00509 | 3.99043 | 3.97680 | 3.96410 | 3.95224 | 3.94113 |
| 12 | 3.83633 | 3.81612 | 3.79757 | 3.78049 | 3.76469 | 3.75005 | 3.73644 | 3.72375 | 3.71189 | 3.70079 |
| 13 | 3.64254 | 3.62236 | 3.60383 | 3.58675 | 3.57096 | 3.55632 | 3.54271 | 3.53002 | 3.51815 | 3.50704 |
| 14 | 3.48317 | 3.46300 | 3.44447 | 3.42739 | 3.41159 | 3.39694 | 3.38331 | 3.37060 | 3.35873 | 3.34760 |
| 15 | 3.34984 | 3.32966 | 3.31112 | 3.29403 | 3.27822 | 3.26355 | 3.24990 | 3.23717 | 3.22526 | 3.21411 |
| 16 | 3.23668 | 3.21649 | 3.19793 | 3.18081 | 3.16497 | 3.15028 | 3.13660 | 3.12385 | 3.11191 | 3.10073 |
| 17 | 3.13944 | 3.11923 | 3.10064 | 3.08350 | 3.06764 | 3.05291 | 3.03921 | 3.02642 | 3.01445 | 3.00324 |
| 18 | 3.05500 | 3.03476 | 3.01615 | 2.99897 | 2.98308 | 2.96832 | 2.95458 | 2.94176 | 2.92976 | 2.91852 |
| 19 | 2.98098 | 2.96071 | 2.94207 | 2.92487 | 2.90894 | 2.89414 | 2.88037 | 2.86751 | 2.85548 | 2.84420 |
| 20 | 2.91558 | 2.89528 | 2.87660 | 2.85936 | 2.84340 | 2.82857 | 2.81476 | 2.80187 | 2.78980 | 2.77848 |
| 21 | 2.85737 | 2.83704 | 2.81832 | 2.80105 | 2.78505 | 2.77018 | 2.75634 | 2.74341 | 2.73131 | 2.71995 |
| 22 | 2.80523 | 2.78486 | 2.76611 | 2.74880 | 2.73276 | 2.71786 | 2.70398 | 2.69102 | 2.67888 | 2.66749 |
| 23 | 2.75825 | 2.73785 | 2.71907 | 2.70172 | 2.68565 | 2.67071 | 2.65679 | 2.64379 | 2.63161 | 2.62019 |
| 24 | 2.71571 | 2.69527 | 2.67646 | 2.65907 | 2.64296 | 2.62799 | 2.61403 | 2.60100 | 2.58879 | 2.57733 |
| 25 | 2.67701 | 2.65653 | 2.63768 | 2.62026 | 2.60411 | 2.58910 | 2.57511 | 2.56204 | 2.54980 | 2.53831 |
| 26 | 2.64164 | 2.62113 | 2.60224 | 2.58479 | 2.56860 | 2.55356 | 2.53953 | 2.52643 | 2.51415 | 2.50262 |
| 27 | 2.60919 | 2.58865 | 2.56973 | 2.55224 | 2.53602 | 2.52094 | 2.50688 | 2.49374 | 2.48143 | 2.46987 |
| 28 | 2.57933 | 2.55875 | 2.53979 | 2.52227 | 2.50602 | 2.49090 | 2.47681 | 2.46364 | 2.45129 | 2.43970 |
| 29 | 2.55174 | 2.53113 | 2.51214 | 2.49458 | 2.47830 | 2.46315 | 2.44902 | 2.43582 | 2.42344 | 2.41182 |
| 30 | 2.52618 | 2.50553 | 2.48651 | 2.46892 | 2.45260 | 2.43742 | 2.42327 | 2.41003 | 2.39762 | 2.38597 |
| 31 | 2.50243 | 2.48175 | 2.46270 | 2.44508 | 2.42873 | 2.41352 | 2.39933 | 2.38606 | 2.37362 | 2.36194 |
| 32 | 2.48031 | 2.45960 | 2.44052 | 2.42286 | 2.40648 | 2.39124 | 2.37702 | 2.36372 | 2.35125 | 2.33954 |
| 33 | 2.45965 | 2.43891 | 2.41980 | 2.40211 | 2.38570 | 2.37043 | 2.35618 | 2.34285 | 2.33035 | 2.31861 |
| 34 | 2.44031 | 2.41955 | 2.40040 | 2.38269 | 2.36625 | 2.35095 | 2.33667 | 2.32331 | 2.31078 | 2.29902 |
| 35 | 2.42218 | 2.40138 | 2.38221 | 2.36447 | 2.34800 | 2.33267 | 2.31836 | 2.30497 | 2.29242 | 2.28063 |
| 36 | 2.40513 | 2.38431 | 2.36511 | 2.34734 | 2.33084 | 2.31548 | 2.30115 | 2.28773 | 2.27516 | 2.26333 |
| 37 | 2.38909 | 2.36824 | 2.34901 | 2.33121 | 2.31468 | 2.29930 | 2.28494 | 2.27150 | 2.25889 | 2.24704 |
| 38 | 2.37395 | 2.35307 | 2.33381 | 2.31599 | 2.29944 | 2.28403 | 2.26964 | 2.25617 | 2.24354 | 2.23167 |
| 39 | 2.35965 | 2.33874 | 2.31946 | 2.30161 | 2.28503 | 2.26959 | 2.25518 | 2.24169 | 2.22904 | 2.21714 |
| 40 | 2.34611 | 2.32518 | 2.30588 | 2.28800 | 2.27140 | 2.25593 | 2.24150 | 2.22798 | 2.21530 | 2.20338 |
| 41 | 2.33329 | 2.31233 | 2.29300 | 2.27510 | 2.25847 | 2.24298 | 2.22852 | 2.21498 | 2.20228 | 2.19034 |
| 42 | 2.32111 | 2.30014 | 2.28078 | 2.26285 | 2.24620 | 2.23069 | 2.21620 | 2.20264 | 2.18992 | 2.17795 |
| 43 | 2.30954 | 2.28854 | 2.26916 | 2.25121 | 2.23454 | 2.21900 | 2.20450 | 2.19091 | 2.17816 | 2.16618 |
| 44 | 2.29853 | 2.27751 | 2.25811 | 2.24013 | 2.22344 | 2.20788 | 2.19335 | 2.17975 | 2.16698 | 2.15497 |
| 45 | 2.28805 | 2.26700 | 2.24757 | 2.22958 | 2.21286 | 2.19728 | 2.18273 | 2.16910 | 2.15631 | 2.14428 |
| 46 | 2.27804 | 2.25698 | 2.23753 | 2.21951 | 2.20277 | 2.18717 | 2.17260 | 2.15895 | 2.14614 | 2.13409 |
| 47 | 2.26849 | 2.24740 | 2.22793 | 2.20990 | 2.19314 | 2.17752 | 2.16292 | 2.14925 | 2.13642 | 2.12435 |
| 48 | 2.25936 | 2.23825 | 2.21876 | 2.20071 | 2.18392 | 2.16828 | 2.15367 | 2.13998 | 2.12713 | 2.11504 |
| 49 | 2.25063 | 2.22950 | 2.20999 | 2.19191 | 2.17511 | 2.15945 | 2.14481 | 2.13111 | 2.11824 | 2.10613 |
| 50 | 2.24226 | 2.22111 | 2.20158 | 2.18349 | 2.16666 | 2.15098 | 2.13633 | 2.12261 | 2.10972 | 2.09759 |
| Part IV: m = 31 to 40, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| 1 | 6264.01 | 6267.17 | 6270.14 | 6272.93 | 6275.57 | 6278.06 | 6280.41 | 6282.65 | 6284.77 | 6286.78 |
| 2 | 99.4669 | 99.4679 | 99.4689 | 99.4698 | 99.4706 | 99.4714 | 99.4721 | 99.4729 | 99.4735 | 99.4742 |
| 3 | 26.4925 | 26.4812 | 26.4705 | 26.4605 | 26.4518 | 26.4421 | 26.4337 | 26.4257 | 26.4180 | 26.4108 |
| 4 | 13.8258 | 13.8147 | 13.8042 | 13.7943 | 13.7850 | 13.7762 | 13.7679 | 13.7600 | 13.7525 | 13.7454 |
| 5 | 9.36801 | 9.35739 | 9.34740 | 9.33798 | 9.32909 | 9.32068 | 9.31272 | 9.30517 | 9.29801 | 9.29119 |
| 6 | 7.21759 | 7.20731 | 7.19764 | 7.18853 | 7.17992 | 7.17179 | 7.16408 | 7.15677 | 7.14983 | 7.14322 |
| 7 | 5.98130 | 5.97124 | 5.96177 | 5.95285 | 5.94442 | 5.93645 | 5.92889 | 5.92173 | 5.91492 | 5.90845 |
| 8 | 5.18756 | 5.17763 | 5.16829 | 5.15947 | 5.15115 | 5.14328 | 5.13581 | 5.12874 | 5.12201 | 5.11561 |
| 9 | 4.63810 | 4.62824 | 4.61897 | 4.61022 | 4.60196 | 4.59413 | 4.58672 | 4.57969 | 4.57301 | 4.56665 |
| 10 | 4.23649 | 4.22668 | 4.21744 | 4.20872 | 4.20049 | 4.19269 | 4.18531 | 4.17829 | 4.17163 | 4.16529 |
| 11 | 3.93071 | 3.92091 | 3.91169 | 3.90298 | 3.89475 | 3.88697 | 3.87958 | 3.87258 | 3.86591 | 3.85957 |
| 12 | 3.69037 | 3.68057 | 3.67134 | 3.66263 | 3.65440 | 3.64661 | 3.63922 | 3.63220 | 3.62553 | 3.61918 |
| 13 | 3.49661 | 3.48680 | 3.47756 | 3.46884 | 3.46059 | 3.45278 | 3.44538 | 3.43834 | 3.43166 | 3.42529 |
| 14 | 3.33715 | 3.32732 | 3.31806 | 3.30931 | 3.30104 | 3.29321 | 3.28579 | 3.27873 | 3.27203 | 3.26564 |
| 15 | 3.20364 | 3.19378 | 3.18450 | 3.17573 | 3.16743 | 3.15958 | 3.15213 | 3.14505 | 3.13832 | 3.13191 |
| 16 | 3.09023 | 3.08035 | 3.07103 | 3.06223 | 3.05391 | 3.04603 | 3.03855 | 3.03144 | 3.02469 | 3.01825 |
| 17 | 2.99271 | 2.98279 | 2.97345 | 2.96462 | 2.95627 | 2.94835 | 2.94084 | 2.93371 | 2.92692 | 2.92046 |
| 18 | 2.90795 | 2.89800 | 2.88862 | 2.87976 | 2.87138 | 2.86343 | 2.85589 | 2.84873 | 2.84191 | 2.83542 |
| 19 | 2.83360 | 2.82362 | 2.81421 | 2.80531 | 2.79690 | 2.78892 | 2.78135 | 2.77416 | 2.76731 | 2.76079 |
| 20 | 2.76785 | 2.75783 | 2.74839 | 2.73946 | 2.73101 | 2.72300 | 2.71540 | 2.70818 | 2.70130 | 2.69475 |
| 21 | 2.70928 | 2.69923 | 2.68975 | 2.68079 | 2.67231 | 2.66427 | 2.65664 | 2.64938 | 2.64248 | 2.63590 |
| 22 | 2.65678 | 2.64670 | 2.63719 | 2.62819 | 2.61968 | 2.61161 | 2.60394 | 2.59666 | 2.58972 | 2.58311 |
| 23 | 2.60945 | 2.59933 | 2.58979 | 2.58076 | 2.57221 | 2.56411 | 2.55642 | 2.54910 | 2.54213 | 2.53550 |
| 24 | 2.56655 | 2.55640 | 2.54682 | 2.53776 | 2.52919 | 2.52105 | 2.51333 | 2.50598 | 2.49899 | 2.49232 |
| 25 | 2.52750 | 2.51731 | 2.50770 | 2.49861 | 2.49000 | 2.48184 | 2.47408 | 2.46671 | 2.45968 | 2.45299 |
| 26 | 2.49178 | 2.48157 | 2.47192 | 2.46280 | 2.45416 | 2.44597 | 2.43818 | 2.43078 | 2.42373 | 2.41701 |
| 27 | 2.45900 | 2.44875 | 2.43907 | 2.42992 | 2.42125 | 2.41303 | 2.40522 | 2.39779 | 2.39071 | 2.38396 |
| 28 | 2.42880 | 2.41852 | 2.40881 | 2.39963 | 2.39093 | 2.38268 | 2.37484 | 2.36738 | 2.36028 | 2.35350 |
| 29 | 2.40088 | 2.39057 | 2.38083 | 2.37162 | 2.36290 | 2.35462 | 2.34675 | 2.33927 | 2.33214 | 2.32534 |
| 30 | 2.37500 | 2.36466 | 2.35490 | 2.34566 | 2.33690 | 2.32860 | 2.32070 | 2.31319 | 2.30604 | 2.29921 |
| 31 | 2.35094 | 2.34057 | 2.33078 | 2.32151 | 2.31273 | 2.30440 | 2.29648 | 2.28894 | 2.28176 | 2.27491 |
| 32 | 2.32851 | 2.31812 | 2.30830 | 2.29900 | 2.29020 | 2.28184 | 2.27389 | 2.26633 | 2.25913 | 2.25225 |
| 33 | 2.30756 | 2.29714 | 2.28729 | 2.27797 | 2.26914 | 2.26075 | 2.25278 | 2.24520 | 2.23797 | 2.23107 |
| 34 | 2.28794 | 2.27749 | 2.26761 | 2.25827 | 2.24941 | 2.24100 | 2.23301 | 2.22540 | 2.21815 | 2.21123 |
| 35 | 2.26952 | 2.25904 | 2.24914 | 2.23977 | 2.23089 | 2.22246 | 2.21444 | 2.20681 | 2.19954 | 2.19260 |
| 36 | 2.25220 | 2.24170 | 2.23178 | 2.22238 | 2.21347 | 2.20502 | 2.19698 | 2.18932 | 2.18203 | 2.17507 |
| 37 | 2.23589 | 2.22536 | 2.21541 | 2.20599 | 2.19706 | 2.18858 | 2.18052 | 2.17285 | 2.16553 | 2.15855 |
| 38 | 2.22049 | 2.20994 | 2.19997 | 2.19053 | 2.18157 | 2.17307 | 2.16499 | 2.15729 | 2.14995 | 2.14295 |
| 39 | 2.20593 | 2.19536 | 2.18537 | 2.17590 | 2.16693 | 2.15840 | 2.15030 | 2.14258 | 2.13522 | 2.12820 |
| 40 | 2.19215 | 2.18156 | 2.17154 | 2.16205 | 2.15306 | 2.14451 | 2.13639 | 2.12865 | 2.12127 | 2.11423 |
| 41 | 2.17909 | 2.16847 | 2.15843 | 2.14892 | 2.13990 | 2.13134 | 2.12320 | 2.11544 | 2.10804 | 2.10098 |
| 42 | 2.16668 | 2.15604 | 2.14598 | 2.13645 | 2.12741 | 2.11883 | 2.11066 | 2.10289 | 2.09547 | 2.08839 |
| 43 | 2.15488 | 2.14422 | 2.13414 | 2.12459 | 2.11554 | 2.10693 | 2.09875 | 2.09095 | 2.08352 | 2.07642 |
| 44 | 2.14365 | 2.13297 | 2.12287 | 2.11330 | 2.10423 | 2.09560 | 2.08740 | 2.07959 | 2.07214 | 2.06502 |
| 45 | 2.13295 | 2.12225 | 2.11213 | 2.10254 | 2.09344 | 2.08480 | 2.07658 | 2.06875 | 2.06128 | 2.05415 |
| 46 | 2.12274 | 2.11201 | 2.10187 | 2.09227 | 2.08315 | 2.07450 | 2.06626 | 2.05841 | 2.05092 | 2.04378 |
| 47 | 2.11298 | 2.10224 | 2.09208 | 2.08246 | 2.07332 | 2.06465 | 2.05639 | 2.04853 | 2.04102 | 2.03386 |
| 48 | 2.10365 | 2.09289 | 2.08271 | 2.07307 | 2.06392 | 2.05523 | 2.04696 | 2.03907 | 2.03156 | 2.02438 |
| 49 | 2.09472 | 2.08394 | 2.07375 | 2.06409 | 2.05492 | 2.04621 | 2.03792 | 2.03002 | 2.02249 | 2.01529 |
| 50 | 2.08616 | 2.07537 | 2.06516 | 2.05548 | 2.04630 | 2.03757 | 2.02926 | 2.02135 | 2.01380 | 2.00659 |
| Part V: m = 41 to 50, n = 1 to 50 | ||||||||||
| m | ||||||||||
| n | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| 1 | 6288.70 | 6290.52 | 6292.27 | 6293.93 | 6295.52 | 6297.04 | 6298.50 | 6299.89 | 6301.23 | 6302.52 |
| 2 | 99.4748 | 99.4754 | 99.4759 | 99.4764 | 99.4769 | 99.4774 | 99.4779 | 99.4783 | 99.4788 | 99.4792 |
| 3 | 26.4039 | 26.3974 | 26.3911 | 26.3851 | 26.3794 | 26.3739 | 26.3687 | 26.3637 | 26.3589 | 26.3542 |
| 4 | 13.7386 | 13.7321 | 13.7260 | 13.7201 | 13.7144 | 13.7090 | 13.7039 | 13.6989 | 13.6942 | 13.6896 |
| 5 | 9.28470 | 9.27851 | 9.27261 | 9.26697 | 9.26158 | 9.25642 | 9.25148 | 9.24673 | 9.24218 | 9.23781 |
| 6 | 7.13693 | 7.13094 | 7.12522 | 7.11975 | 7.11453 | 7.10952 | 7.10473 | 7.10013 | 7.09572 | 7.09148 |
| 7 | 5.90228 | 5.89641 | 5.89079 | 5.88543 | 5.88030 | 5.87539 | 5.87069 | 5.86618 | 5.86184 | 5.85768 |
| 8 | 5.10952 | 5.10370 | 5.09816 | 5.09285 | 5.08778 | 5.08292 | 5.07827 | 5.07380 | 5.06952 | 5.06540 |
| 9 | 4.56059 | 4.55481 | 4.54930 | 4.54403 | 4.53898 | 4.53415 | 4.52952 | 4.52508 | 4.52081 | 4.51671 |
| 10 | 4.15924 | 4.15348 | 4.14798 | 4.14272 | 4.13768 | 4.13286 | 4.12824 | 4.12380 | 4.11954 | 4.11545 |
| 11 | 3.85353 | 3.84777 | 3.84226 | 3.83700 | 3.83196 | 3.82714 | 3.82251 | 3.81808 | 3.81381 | 3.80972 |
| 12 | 3.61313 | 3.60736 | 3.60184 | 3.59657 | 3.59152 | 3.58669 | 3.58205 | 3.57760 | 3.57333 | 3.56922 |
| 13 | 3.41923 | 3.41344 | 3.40790 | 3.40262 | 3.39755 | 3.39270 | 3.38805 | 3.38359 | 3.37930 | 3.37518 |
| 14 | 3.25955 | 3.25374 | 3.24819 | 3.24288 | 3.23780 | 3.23293 | 3.22826 | 3.22378 | 3.21947 | 3.21533 |
| 15 | 3.12579 | 3.11996 | 3.11439 | 3.10905 | 3.10395 | 3.09906 | 3.09437 | 3.08986 | 3.08553 | 3.08137 |
| 16 | 3.01211 | 3.00625 | 3.00065 | 2.99530 | 2.99017 | 2.98525 | 2.98054 | 2.97601 | 2.97166 | 2.96748 |
| 17 | 2.91429 | 2.90841 | 2.90278 | 2.89740 | 2.89225 | 2.88731 | 2.88257 | 2.87802 | 2.87364 | 2.86944 |
| 18 | 2.82923 | 2.82331 | 2.81766 | 2.81225 | 2.80707 | 2.80211 | 2.79734 | 2.79277 | 2.78837 | 2.78414 |
| 19 | 2.75456 | 2.74862 | 2.74294 | 2.73751 | 2.73230 | 2.72731 | 2.72252 | 2.71792 | 2.71350 | 2.70925 |
| 20 | 2.68850 | 2.68253 | 2.67682 | 2.67136 | 2.66613 | 2.66111 | 2.65630 | 2.65167 | 2.64723 | 2.64295 |
| 21 | 2.62962 | 2.62362 | 2.61789 | 2.61240 | 2.60714 | 2.60210 | 2.59726 | 2.59261 | 2.58814 | 2.58384 |
| 22 | 2.57680 | 2.57078 | 2.56502 | 2.55950 | 2.55422 | 2.54915 | 2.54429 | 2.53962 | 2.53512 | 2.53080 |
| 23 | 2.52916 | 2.52311 | 2.51732 | 2.51178 | 2.50647 | 2.50138 | 2.49649 | 2.49179 | 2.48728 | 2.48294 |
| 24 | 2.48596 | 2.47988 | 2.47406 | 2.46850 | 2.46316 | 2.45805 | 2.45313 | 2.44842 | 2.44388 | 2.43951 |
| 25 | 2.44660 | 2.44049 | 2.43465 | 2.42906 | 2.42370 | 2.41856 | 2.41363 | 2.40888 | 2.40433 | 2.39994 |
| 26 | 2.41059 | 2.40446 | 2.39859 | 2.39298 | 2.38759 | 2.38243 | 2.37747 | 2.37271 | 2.36812 | 2.36371 |
| 27 | 2.37752 | 2.37136 | 2.36547 | 2.35983 | 2.35442 | 2.34924 | 2.34425 | 2.33947 | 2.33486 | 2.33043 |
| 28 | 2.34703 | 2.34085 | 2.33494 | 2.32927 | 2.32384 | 2.31863 | 2.31363 | 2.30882 | 2.30420 | 2.29975 |
| 29 | 2.31884 | 2.31264 | 2.30670 | 2.30101 | 2.29556 | 2.29033 | 2.28530 | 2.28047 | 2.27583 | 2.27136 |
| 30 | 2.29269 | 2.28646 | 2.28050 | 2.27479 | 2.26932 | 2.26406 | 2.25902 | 2.25417 | 2.24950 | 2.24501 |
| 31 | 2.26837 | 2.26212 | 2.25613 | 2.25040 | 2.24491 | 2.23963 | 2.23457 | 2.22970 | 2.22501 | 2.22050 |
| 32 | 2.24569 | 2.23941 | 2.23341 | 2.22765 | 2.22214 | 2.21684 | 2.21176 | 2.20687 | 2.20216 | 2.19763 |
| 33 | 2.22449 | 2.21819 | 2.21216 | 2.20639 | 2.20085 | 2.19553 | 2.19043 | 2.18552 | 2.18079 | 2.17625 |
| 34 | 2.20462 | 2.19830 | 2.19225 | 2.18646 | 2.18090 | 2.17556 | 2.17044 | 2.16551 | 2.16077 | 2.15620 |
| 35 | 2.18597 | 2.17963 | 2.17356 | 2.16774 | 2.16216 | 2.15681 | 2.15167 | 2.14672 | 2.14196 | 2.13738 |
| 36 | 2.16842 | 2.16206 | 2.15597 | 2.15013 | 2.14454 | 2.13916 | 2.13400 | 2.12904 | 2.12426 | 2.11966 |
| 37 | 2.15188 | 2.14550 | 2.13939 | 2.13353 | 2.12792 | 2.12253 | 2.11735 | 2.11237 | 2.10757 | 2.10296 |
| 38 | 2.13626 | 2.12986 | 2.12373 | 2.11786 | 2.11223 | 2.10682 | 2.10162 | 2.09662 | 2.09181 | 2.08718 |
| 39 | 2.12149 | 2.11507 | 2.10893 | 2.10304 | 2.09739 | 2.09196 | 2.08675 | 2.08173 | 2.07690 | 2.07225 |
| 40 | 2.10750 | 2.10107 | 2.09490 | 2.08899 | 2.08333 | 2.07788 | 2.07265 | 2.06762 | 2.06278 | 2.05811 |
| 41 | 2.09423 | 2.08778 | 2.08160 | 2.07567 | 2.06999 | 2.06453 | 2.05928 | 2.05423 | 2.04937 | 2.04469 |
| 42 | 2.08163 | 2.07516 | 2.06896 | 2.06301 | 2.05731 | 2.05184 | 2.04657 | 2.04151 | 2.03664 | 2.03194 |
| 43 | 2.06964 | 2.06315 | 2.05693 | 2.05098 | 2.04526 | 2.03977 | 2.03449 | 2.02941 | 2.02452 | 2.01981 |
| 44 | 2.05822 | 2.05171 | 2.04548 | 2.03951 | 2.03377 | 2.02827 | 2.02297 | 2.01788 | 2.01298 | 2.00826 |
| 45 | 2.04733 | 2.04081 | 2.03456 | 2.02857 | 2.02282 | 2.01730 | 2.01199 | 2.00689 | 2.00197 | 1.99723 |
| 46 | 2.03694 | 2.03040 | 2.02414 | 2.01813 | 2.01237 | 2.00683 | 2.00151 | 1.99639 | 1.99146 | 1.98671 |
| 47 | 2.02701 | 2.02046 | 2.01418 | 2.00816 | 2.00238 | 1.99683 | 1.99149 | 1.98636 | 1.98141 | 1.97665 |
| 48 | 2.01751 | 2.01094 | 2.00465 | 1.99861 | 1.99282 | 1.98726 | 1.98190 | 1.97676 | 1.97180 | 1.96702 |
| 49 | 2.00842 | 2.00183 | 1.99552 | 1.98947 | 1.98367 | 1.97809 | 1.97272 | 1.96756 | 1.96259 | 1.95780 |
| 50 | 1.99970 | 1.99310 | 1.98678 | 1.98071 | 1.97489 | 1.96930 | 1.96392 | 1.95875 | 1.95377 | 1.94896 |
Tabulated by S L C Saw
